%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP199^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 10:24:48 AM UTC 2026
% Result : Theorem 257.85s 43.38s
% Output : CNFRefutation 43.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 140
% Syntax : Number of formulae : 3825 ( 916 unt; 0 typ; 0 def)
% Number of atoms : 36166 (18258 equ; 0 cnn)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 66416 (12810 ~;11287 |; 99 &;42037 @)
% ( 0 <=>; 183 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 19 ( 18 usr)
% Number of type conns : 2629 (2629 >; 0 *; 0 +; 0 <<)
% Number of symbols : 143 ( 140 usr; 22 con; 0-8 aty)
% Number of variables : 12483 ( 100 ^;12356 !; 27 ?;12483 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_char,type,
char: $tType ).
thf(tp_denotational_interp,type,
denotational_interp: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_option_trm,type,
option_trm: $tType ).
thf(tp_option_variable,type,
option_variable: $tType ).
thf(tp_option_variable_real,type,
option_variable_real: $tType ).
thf(tp_produc1418842292n_game,type,
produc1418842292n_game: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_set_op12188086e_real,type,
set_op12188086e_real: $tType ).
thf(tp_set_option_trm,type,
set_option_trm: $tType ).
thf(tp_set_option_variable,type,
set_option_variable: $tType ).
thf(tp_set_real,type,
set_real: $tType ).
thf(tp_set_trm,type,
set_trm: $tType ).
thf(tp_set_variable,type,
set_variable: $tType ).
thf(tp_set_variable_real,type,
set_variable_real: $tType ).
thf(tp_trm,type,
trm: $tType ).
thf(tp_variable,type,
variable: $tType ).
thf(tp_bot_bo1411475018e_real,type,
bot_bo1411475018e_real: set_op12188086e_real ).
thf(tp_bot_bo1661475211real_o,type,
bot_bo1661475211real_o: ( variable > real ) > $o ).
thf(tp_bot_bo266290559riable,type,
bot_bo266290559riable: set_option_variable ).
thf(tp_bot_bo721182586e_real,type,
bot_bo721182586e_real: set_variable_real ).
thf(tp_bot_bo946428664on_trm,type,
bot_bo946428664on_trm: set_option_trm ).
thf(tp_bot_bot_set_nat,type,
bot_bot_set_nat: set_nat ).
thf(tp_bot_bot_set_real,type,
bot_bot_set_real: set_real ).
thf(tp_bot_bot_set_trm,type,
bot_bot_set_trm: set_trm ).
thf(tp_bot_bot_set_variable,type,
bot_bot_set_variable: set_variable ).
thf(tp_bot_bot_variable_o,type,
bot_bot_variable_o: variable > $o ).
thf(tp_collec633296133e_real,type,
collec633296133e_real: ( ( variable > real ) > $o ) > set_variable_real ).
thf(tp_collect_variable,type,
collect_variable: ( variable > $o ) > set_variable ).
thf(tp_dVar,type,
dVar: char > variable ).
thf(tp_denota1419872369iation,type,
denota1419872369iation: ( variable > real ) > ( variable > real ) > set_variable > $o ).
thf(tp_denota1778088425es_ODE,type,
denota1778088425es_ODE: denotational_interp > ( real > variable > real ) > char > trm > $o ).
thf(tp_denota1863255036rm_sem,type,
denota1863255036rm_sem: denotational_interp > trm > ( variable > real ) > real ).
thf(tp_denotational_Vagree,type,
denotational_Vagree: ( variable > real ) > ( variable > real ) > set_variable > $o ).
thf(tp_denotational_repv,type,
denotational_repv: ( variable > real ) > variable > real > variable > real ).
thf(tp_f,type,
f: real > variable > real ).
thf(tp_i,type,
i: denotational_interp ).
thf(tp_if_real,type,
if_real: $o > real > real > real ).
thf(tp_inf_in1556002680e_real,type,
inf_in1556002680e_real: set_variable_real > set_variable_real > set_variable_real ).
thf(tp_inf_inf_set_variable,type,
inf_inf_set_variable: set_variable > set_variable > set_variable ).
thf(tp_insert1340772453riable,type,
insert1340772453riable: option_variable > set_option_variable > set_option_variable ).
thf(tp_insert526581936e_real,type,
insert526581936e_real: option_variable_real > set_op12188086e_real > set_op12188086e_real ).
thf(tp_insert_nat,type,
insert_nat: nat > set_nat > set_nat ).
thf(tp_insert_option_trm,type,
insert_option_trm: option_trm > set_option_trm > set_option_trm ).
thf(tp_insert_real,type,
insert_real: real > set_real > set_real ).
thf(tp_insert_trm,type,
insert_trm: trm > set_trm > set_trm ).
thf(tp_insert_variable,type,
insert_variable: variable > set_variable > set_variable ).
thf(tp_insert_variable_real,type,
insert_variable_real: ( variable > real ) > set_variable_real > set_variable_real ).
thf(tp_is_emp227886046e_real,type,
is_emp227886046e_real: set_variable_real > $o ).
thf(tp_is_empty_variable,type,
is_empty_variable: set_variable > $o ).
thf(tp_is_sin155454833riable,type,
is_sin155454833riable: set_variable > $o ).
thf(tp_is_sin524757308e_real,type,
is_sin524757308e_real: set_variable_real > $o ).
thf(tp_member523846807e_real,type,
member523846807e_real: option_variable_real > set_op12188086e_real > $o ).
thf(tp_member814448204riable,type,
member814448204riable: option_variable > set_option_variable > $o ).
thf(tp_member_option_trm,type,
member_option_trm: option_trm > set_option_trm > $o ).
thf(tp_member_trm,type,
member_trm: trm > set_trm > $o ).
thf(tp_member_variable,type,
member_variable: variable > set_variable > $o ).
thf(tp_member_variable_real,type,
member_variable_real: ( variable > real ) > set_variable_real > $o ).
thf(tp_none_trm,type,
none_trm: option_trm ).
thf(tp_none_variable,type,
none_variable: option_variable ).
thf(tp_none_variable_real,type,
none_variable_real: option_variable_real ).
thf(tp_omega,type,
omega: variable > real ).
thf(tp_ord_le1113654598e_real,type,
ord_le1113654598e_real: set_variable_real > set_variable_real > $o ).
thf(tp_ord_le282106107riable,type,
ord_le282106107riable: set_variable > set_variable > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_rVar,type,
rVar: char > variable ).
thf(tp_rr,type,
rr: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(tp_sK10_SY613,type,
sK10_SY613: variable > set_variable > set_variable ).
thf(tp_sK11_SV338,type,
sK11_SV338: ( variable > $o ) > variable ).
thf(tp_sK12_SY424,type,
sK12_SY424: set_variable > variable ).
thf(tp_sK13_SY753,type,
sK13_SY753: set_variable_real > set_variable_real > set_variable > ( variable > real ) > variable > real ).
thf(tp_sK14_SY478,type,
sK14_SY478: variable > char ).
thf(tp_sK15_SY768,type,
sK15_SY768: set_variable_real > set_variable_real > set_variable > ( variable > real ) > variable > real ).
thf(tp_sK16_SV345,type,
sK16_SV345: ( variable > real ) > ( variable > real ) > variable ).
thf(tp_sK17_SY802,type,
sK17_SY802: set_variable > variable ).
thf(tp_sK18_SY734,type,
sK18_SY734: ( variable > $o ) > set_variable > set_variable > variable ).
thf(tp_sK19_SY541,type,
sK19_SY541: variable > ( variable > $o ) > char ).
thf(tp_sK1_SX0,type,
sK1_SX0: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(tp_sK20_SY747,type,
sK20_SY747: ( variable > $o ) > set_variable > variable > variable ).
thf(tp_sK21_SY754,type,
sK21_SY754: set_variable_real > set_variable_real > set_variable > ( variable > real ) > variable > real ).
thf(tp_sK22_SY755,type,
sK22_SY755: set_variable_real > set_variable_real > set_variable > ( variable > real ) > variable > real ).
thf(tp_sK23_SY794,type,
sK23_SY794: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(tp_sK24_SY444,type,
sK24_SY444: set_variable > variable ).
thf(tp_sK25_SY622,type,
sK25_SY622: set_variable > variable ).
thf(tp_sK26_SY796,type,
sK26_SY796: ( variable > real ) > ( variable > real ) > set_variable > variable ).
thf(tp_sK27_SY735,type,
sK27_SY735: set_variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK28_SY748,type,
sK28_SY748: variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK29_SY444,type,
sK29_SY444: variable > set_variable > variable ).
thf(tp_sK2_SY477,type,
sK2_SY477: variable > char ).
thf(tp_sK30_SY622,type,
sK30_SY622: variable > set_variable > variable ).
thf(tp_sK31_SY736,type,
sK31_SY736: set_variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK32_SY736,type,
sK32_SY736: set_variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK33_SY749,type,
sK33_SY749: variable > ( variable > $o ) > set_variable > set_variable > variable ).
thf(tp_sK34_SY801,type,
sK34_SY801: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(tp_sK35_SY750,type,
sK35_SY750: variable > set_variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK36_SY749,type,
sK36_SY749: variable > ( variable > $o ) > set_variable > set_variable > variable ).
thf(tp_sK37_SY749,type,
sK37_SY749: variable > ( variable > $o ) > set_variable > set_variable > variable ).
thf(tp_sK38_SY750,type,
sK38_SY750: variable > set_variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK39_SY750,type,
sK39_SY750: variable > set_variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK3_SY543,type,
sK3_SY543: set_variable > variable ).
thf(tp_sK40_SY808,type,
sK40_SY808: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(tp_sK41_SY801,type,
sK41_SY801: ( variable > real ) > trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(tp_sK42_SY771,type,
sK42_SY771: variable > set_variable > variable > set_variable > set_variable ).
thf(tp_sK43_SY808,type,
sK43_SY808: ( variable > real ) > trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(tp_sK44_SY751,type,
sK44_SY751: set_variable > variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK45_SY751,type,
sK45_SY751: set_variable > variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK46_SY751,type,
sK46_SY751: set_variable > variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK47_SY751,type,
sK47_SY751: set_variable > variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK48_SY751,type,
sK48_SY751: set_variable > variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK49_SY751,type,
sK49_SY751: set_variable > variable > ( variable > $o ) > set_variable > variable ).
thf(tp_sK4_SY479,type,
sK4_SY479: set_variable > variable ).
thf(tp_sK50_SY771,type,
sK50_SY771: variable > set_variable > variable > set_variable > set_variable ).
thf(tp_sK51_SY771,type,
sK51_SY771: variable > set_variable > variable > set_variable > set_variable ).
thf(tp_sK52_SY771,type,
sK52_SY771: set_variable > variable > set_variable > variable > set_variable > set_variable ).
thf(tp_sK53_SY771,type,
sK53_SY771: set_variable > variable > set_variable > variable > set_variable > set_variable ).
thf(tp_sK5_SY540,type,
sK5_SY540: variable > ( variable > $o ) > char ).
thf(tp_sK6_SY361,type,
sK6_SY361: ( variable > $o ) > variable ).
thf(tp_sK7_SY362,type,
sK7_SY362: ( variable > $o ) > variable ).
thf(tp_sK8_SY363,type,
sK8_SY363: set_variable > variable ).
thf(tp_sK9_SY612,type,
sK9_SY612: variable > set_variable > set_variable ).
thf(tp_set_op697949218e_real,type,
set_op697949218e_real: option_variable_real > set_variable_real ).
thf(tp_set_option_trm2,type,
set_option_trm2: option_trm > set_trm ).
thf(tp_set_option_variable2,type,
set_option_variable2: option_variable > set_variable ).
thf(tp_sigma,type,
sigma: produc1418842292n_game ).
thf(tp_size_size_variable,type,
size_size_variable: variable > nat ).
thf(tp_size_variable,type,
size_variable: variable > nat ).
thf(tp_some_trm,type,
some_trm: trm > option_trm ).
thf(tp_some_variable,type,
some_variable: variable > option_variable ).
thf(tp_some_variable_real,type,
some_variable_real: ( variable > real ) > option_variable_real ).
thf(tp_statediff,type,
statediff: ( variable > real ) > ( variable > real ) > set_variable ).
thf(tp_stateinterpol,type,
stateinterpol: ( variable > real ) > ( variable > real ) > set_variable > variable > real ).
thf(tp_static_FVT,type,
static_FVT: trm > set_variable ).
thf(tp_static_selectlike,type,
static_selectlike: set_variable_real > ( variable > real ) > set_variable > set_variable_real ).
thf(tp_sup_su1685293586e_real,type,
sup_su1685293586e_real: set_variable_real > set_variable_real > set_variable_real ).
thf(tp_sup_sup_set_variable,type,
sup_sup_set_variable: set_variable > set_variable > set_variable ).
thf(tp_the_el1059226619e_real,type,
the_el1059226619e_real: set_variable_real > variable > real ).
thf(tp_the_elem_variable,type,
the_elem_variable: set_variable > variable ).
thf(tp_the_trm,type,
the_trm: option_trm > trm ).
thf(tp_the_variable,type,
the_variable: option_variable > variable ).
thf(tp_the_variable_real,type,
the_variable_real: option_variable_real > variable > real ).
thf(tp_these_trm,type,
these_trm: set_option_trm > set_trm ).
thf(tp_these_variable,type,
these_variable: set_option_variable > set_variable ).
thf(tp_these_variable_real,type,
these_variable_real: set_op12188086e_real > set_variable_real ).
thf(tp_theta,type,
theta: trm ).
thf(tp_times,type,
times: trm > trm > trm ).
thf(tp_u,type,
u: set_variable ).
thf(tp_uSubst1599435252djoint,type,
uSubst1599435252djoint: produc1418842292n_game > denotational_interp > ( variable > real ) > denotational_interp ).
thf(tp_uSubst516392818stappt,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(tp_uSubst918876924Timeso,type,
uSubst918876924Timeso: option_trm > option_trm > option_trm ).
thf(tp_uminus1851247844riable,type,
uminus1851247844riable: set_variable > set_variable ).
thf(tp_uminus430703407e_real,type,
uminus430703407e_real: set_variable_real > set_variable_real ).
thf(tp_uminus_uminus_real,type,
uminus_uminus_real: real > real ).
thf(tp_x,type,
x: char ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(tp_zero_zero_real,type,
zero_zero_real: real ).
thf(tp_zero_zero_set_nat,type,
zero_zero_set_nat: set_nat ).
thf(tp_zero_zero_set_real,type,
zero_zero_set_real: set_real ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Real__Oreal_T) ).
thf(4,axiom,
! [B2: set_variable,C2: set_variable,A: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ B2 @ C2 ) @ A )
= ( ( ord_le282106107riable @ B2 @ A )
& ( ord_le282106107riable @ C2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_sup_Obounded__iff) ).
thf(5,axiom,
! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( ( ord_le282106107riable @ X @ Z )
& ( ord_le282106107riable @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_le__sup__iff) ).
thf(27,axiom,
! [Omega: variable > real,Omega3: variable > real,U: set_variable,Theta: trm,I2: denotational_interp] :
( ( denota1419872369iation @ Omega @ Omega3 @ U )
=> ( ( ( inf_inf_set_variable @ ( static_FVT @ Theta ) @ U )
= bot_bot_set_variable )
=> ( ( denota1863255036rm_sem @ I2 @ Theta @ Omega )
= ( denota1863255036rm_sem @ I2 @ Theta @ Omega3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_coincidence__term__cor) ).
thf(37,axiom,
! [Nu: variable > real,Omega: variable > real] :
( ( stateinterpol @ Nu @ Omega @ bot_bot_set_variable )
= Omega ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_stateinterpol__empty) ).
thf(43,axiom,
! [V4: variable > real,W2: variable > real,S: set_variable,Z: variable] : ( denotational_Vagree @ ( stateinterpol @ V4 @ W2 @ S ) @ ( stateinterpol @ V4 @ W2 @ ( insert_variable @ Z @ S ) ) @ ( uminus1851247844riable @ ( insert_variable @ Z @ bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_stateinterpol__insert) ).
thf(44,axiom,
! [X7: set_variable_real,Nu: variable > real,V: set_variable,Y4: set_variable_real] :
( ( ( static_selectlike @ X7 @ Nu @ V )
= ( static_selectlike @ Y4 @ Nu @ V ) )
= ( ! [Mu3: variable > real] :
( ( denota1419872369iation @ Mu3 @ Nu @ ( uminus1851247844riable @ V ) )
=> ( ( member_variable_real @ Mu3 @ X7 )
= ( member_variable_real @ Mu3 @ Y4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_selectlike__equal__cond) ).
thf(45,axiom,
! [X7: set_variable_real,Nu: variable > real,V: set_variable,Y4: set_variable_real] :
( ( ( static_selectlike @ X7 @ Nu @ ( uminus1851247844riable @ V ) )
= ( static_selectlike @ Y4 @ Nu @ ( uminus1851247844riable @ V ) ) )
= ( ! [Mu3: variable > real] :
( ( denota1419872369iation @ Mu3 @ Nu @ V )
=> ( ( member_variable_real @ Mu3 @ X7 )
= ( member_variable_real @ Mu3 @ Y4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_selectlike__equal__cocond) ).
thf(46,axiom,
! [Nu: variable > real,V: set_variable,X7: set_variable_real,Y4: set_variable_real] :
( ! [Mu2: variable > real] :
( ( denota1419872369iation @ Mu2 @ Nu @ ( uminus1851247844riable @ V ) )
=> ( ( member_variable_real @ Mu2 @ X7 )
= ( member_variable_real @ Mu2 @ Y4 ) ) )
=> ( ( static_selectlike @ X7 @ Nu @ V )
= ( static_selectlike @ Y4 @ Nu @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_selectlike__equal__cocond__rule) ).
thf(47,axiom,
! [Nu: variable > real,V: set_variable,X7: set_variable_real,Y4: set_variable_real] :
( ! [Mu2: variable > real] :
( ( denota1419872369iation @ Mu2 @ Nu @ V )
=> ( ( member_variable_real @ Mu2 @ X7 )
= ( member_variable_real @ Mu2 @ Y4 ) ) )
=> ( ( static_selectlike @ X7 @ Nu @ ( uminus1851247844riable @ V ) )
= ( static_selectlike @ Y4 @ Nu @ ( uminus1851247844riable @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_selectlike__equal__cocond__corule) ).
thf(54,axiom,
! [Nu: variable > real,Nu2: variable > real,V: set_variable] :
( ( denota1419872369iation @ Nu @ Nu2 @ ( uminus1851247844riable @ V ) )
= ( denotational_Vagree @ Nu @ Nu2 @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_Uvariation__Vagree) ).
thf(55,axiom,
! [A: real] :
( ( ( uminus_uminus_real @ A )
= A )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_neg__equal__zero) ).
thf(56,axiom,
! [A: real] :
( ( A
= ( uminus_uminus_real @ A ) )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_equal__neg__zero) ).
thf(57,axiom,
! [A: real] :
( ( ( uminus_uminus_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_neg__equal__0__iff__equal) ).
thf(58,axiom,
! [A: real] :
( ( zero_zero_real
= ( uminus_uminus_real @ A ) )
= ( zero_zero_real = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_neg__0__equal__iff__equal) ).
thf(59,axiom,
( ( uminus_uminus_real @ zero_zero_real )
= zero_zero_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_add_Oinverse__neutral) ).
thf(71,axiom,
! [Omega: variable > real,X: variable,D: real] : ( denotational_Vagree @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( uminus1851247844riable @ ( insert_variable @ X @ bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_Vagree__repv) ).
thf(72,axiom,
! [I2: denotational_interp,F: real > variable > real,X: char,Theta: trm,Zeta: real] :
( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
=> ( denotational_Vagree @ ( F @ Zeta ) @ ( F @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_solves__Vagree) ).
thf(77,axiom,
( ( set_option_variable2 @ none_variable )
= bot_bot_set_variable ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_option_Osimps_I14_J) ).
thf(79,axiom,
! [Nu: variable > real,Nu2: variable > real] : ( denotational_Vagree @ Nu @ Nu2 @ bot_bot_set_variable ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_Vagree__empty) ).
thf(84,axiom,
! [Nu: variable > real,Nu2: variable > real,V: set_variable,W: set_variable] :
( ( denotational_Vagree @ Nu @ Nu2 @ V )
=> ( ( denotational_Vagree @ Nu @ Nu2 @ W )
=> ( denotational_Vagree @ Nu @ Nu2 @ ( sup_sup_set_variable @ V @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_Vagree__union) ).
thf(96,axiom,
! [Xo: option_variable] :
( ( ( set_option_variable2 @ Xo )
= bot_bot_set_variable )
= ( Xo = none_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_set__empty__eq) ).
thf(98,axiom,
! [Nu: variable > real,Nu2: variable > real,V: set_variable,W: set_variable] :
( ( ( denotational_Vagree @ Nu @ Nu2 @ V )
& ( denotational_Vagree @ Nu @ Nu2 @ W ) )
= ( denotational_Vagree @ Nu @ Nu2 @ ( sup_sup_set_variable @ V @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_Vagree__and) ).
thf(102,axiom,
! [Omega: variable > real,X: variable,D: real] :
( ( denotational_Vagree @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( insert_variable @ X @ bot_bot_set_variable ) )
= ( D
= ( Omega @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_Vagree__repv__self) ).
thf(104,axiom,
! [X23: variable] :
( ( set_option_variable2 @ ( some_variable @ X23 ) )
= ( insert_variable @ X23 @ bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_option_Osimps_I15_J) ).
thf(126,axiom,
! [X7: set_variable_real,Nu: variable > real,V: set_variable,W: set_variable] :
( ( static_selectlike @ ( static_selectlike @ X7 @ Nu @ V ) @ Nu @ W )
= ( static_selectlike @ X7 @ Nu @ ( sup_sup_set_variable @ V @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_selectlike__compose) ).
thf(127,axiom,
! [X7: set_variable_real,Nu: variable > real] :
( ( static_selectlike @ X7 @ Nu @ bot_bot_set_variable )
= X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_selectlike__empty) ).
thf(132,axiom,
! [Omega: variable > real,X: variable,D: real,X7: set_variable_real] :
( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ X @ bot_bot_set_variable ) ) )
= ( ( D
= ( Omega @ X ) )
& ( member_variable_real @ Omega @ X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_repv__selectlike__self) ).
thf(133,axiom,
! [X: variable,Y: variable,Omega: variable > real,D: real,X7: set_variable_real] :
( ( X != Y )
=> ( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ Y @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_repv__selectlike__other) ).
thf(134,axiom,
! [X: variable,Y: variable,Omega: variable > real,D: real,X7: set_variable_real] :
( ( X != Y )
=> ( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ X7 )
= ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ Y @ bot_bot_set_variable ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_repv__selectlike__other__converse) ).
thf(137,axiom,
! [X: variable,A2: set_option_variable] :
( ( these_variable @ ( insert1340772453riable @ ( some_variable @ X ) @ A2 ) )
= ( insert_variable @ X @ ( these_variable @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_these__insert__Some) ).
thf(141,axiom,
( ( these_variable @ bot_bo266290559riable )
= bot_bot_set_variable ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_these__empty) ).
thf(150,axiom,
! [Omega: variable > real,X: variable,D: real] : ( denota1419872369iation @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( insert_variable @ X @ bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_Uvariation__repv) ).
thf(152,axiom,
( is_empty_variable
= ( ^ [A4: set_variable] : ( A4 = bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_Set_Ois__empty__def) ).
thf(153,axiom,
! [X23: char] :
( ( size_size_variable @ ( dVar @ X23 ) )
= zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_variable_Osize_I4_J) ).
thf(154,axiom,
! [X12: char] :
( ( size_size_variable @ ( rVar @ X12 ) )
= zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_variable_Osize_I3_J) ).
thf(156,axiom,
! [X23: char] :
( ( size_variable @ ( dVar @ X23 ) )
= zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_variable_Osize__gen_I2_J) ).
thf(161,axiom,
! [X12: char] :
( ( size_variable @ ( rVar @ X12 ) )
= zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_variable_Osize__gen_I1_J) ).
thf(167,axiom,
! [A2: set_variable] :
( ( is_sin155454833riable @ A2 )
=> ~ ! [X6: variable] :
( A2
!= ( insert_variable @ X6 @ bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_is__singletonE) ).
thf(169,axiom,
( is_sin155454833riable
= ( ^ [A4: set_variable] :
? [X2: variable] :
( A4
= ( insert_variable @ X2 @ bot_bot_set_variable ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_is__singleton__def) ).
thf(171,axiom,
! [A2: set_variable] :
( ( A2 != bot_bot_set_variable )
=> ( ! [X6: variable,Y2: variable] :
( ( member_variable @ X6 @ A2 )
=> ( ( member_variable @ Y2 @ A2 )
=> ( X6 = Y2 ) ) )
=> ( is_sin155454833riable @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_is__singletonI_H) ).
thf(174,axiom,
! [X: variable] : ( is_sin155454833riable @ ( insert_variable @ X @ bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_is__singletonI) ).
thf(177,axiom,
( is_sin155454833riable
= ( ^ [A4: set_variable] :
( A4
= ( insert_variable @ ( the_elem_variable @ A4 ) @ bot_bot_set_variable ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_is__singleton__the__elem) ).
thf(179,axiom,
! [P: variable > $o] :
( ( ( collect_variable @ P )
= bot_bot_set_variable )
= ( P = bot_bot_variable_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_Collect__empty__eq__bot) ).
thf(181,axiom,
( bot_bot_variable_o
= ( ^ [X2: variable] : ( member_variable @ X2 @ bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_bot__empty__eq) ).
thf(182,axiom,
! [Y: variable] :
( ! [X13: char] :
( Y
!= ( rVar @ X13 ) )
=> ~ ! [X24: char] :
( Y
!= ( dVar @ X24 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_variable_Oexhaust) ).
thf(183,axiom,
! [P: variable > $o,Variable: variable] :
( ! [X6: char] : ( P @ ( rVar @ X6 ) )
=> ( ! [X6: char] : ( P @ ( dVar @ X6 ) )
=> ( P @ Variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_variable_Oinduct) ).
thf(184,axiom,
! [X12: char,X23: char] :
( ( rVar @ X12 )
!= ( dVar @ X23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_variable_Odistinct_I1_J) ).
thf(185,axiom,
! [F: real > variable > real,X: char,I2: denotational_interp,Theta: trm,J: denotational_interp,Eta: trm] :
( ! [Nu5: variable > real] :
( ( denota1419872369iation @ Nu5 @ ( F @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) )
=> ( ( denota1863255036rm_sem @ I2 @ Theta @ Nu5 )
= ( denota1863255036rm_sem @ J @ Eta @ Nu5 ) ) )
=> ( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
= ( denota1778088425es_ODE @ J @ F @ X @ Eta ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_same__ODE__same__sol) ).
thf(187,axiom,
! [X: variable,A2: set_variable,B: set_variable] :
( ( ~ ( member_variable @ X @ ( sup_sup_set_variable @ A2 @ B ) ) )
= ( ~ ( member_variable @ X @ A2 )
& ~ ( member_variable @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_not__union__or) ).
thf(189,axiom,
! [X: real] :
( ( zero_zero_real = X )
= ( X = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_zero__reorient) ).
thf(190,axiom,
! [F2: real > variable > real,C4: char,I3: denotational_interp,T: trm,Ia: denotational_interp,Ta: trm] :
( ( ( denota1419872369iation @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) @ ( F2 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ C4 ) @ ( insert_variable @ ( dVar @ C4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ I3 @ T @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) )
!= ( denota1863255036rm_sem @ Ia @ Ta @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) ) ) )
| ( ( denota1778088425es_ODE @ I3 @ F2 @ C4 @ T )
= ( denota1778088425es_ODE @ Ia @ F2 @ C4 @ Ta ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_f2) ).
thf(192,axiom,
! [X: variable] :
( ( the_elem_variable @ ( insert_variable @ X @ bot_bot_set_variable ) )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_the__elem__eq) ).
thf(194,axiom,
! [A: variable,B: set_variable,P: variable > $o] :
( ( ! [X2: variable] :
( ( member_variable @ X2 @ ( insert_variable @ A @ B ) )
=> ( P @ X2 ) ) )
= ( ( P @ A )
& ! [X2: variable] :
( ( member_variable @ X2 @ B )
=> ( P @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_ball__insert) ).
thf(196,axiom,
! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) )
= ( ( member_variable @ C2 @ A2 )
| ( member_variable @ C2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_union__or) ).
thf(197,axiom,
! [X23: char,Y22: char] :
( ( ( dVar @ X23 )
= ( dVar @ Y22 ) )
= ( X23 = Y22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_variable_Oinject_I2_J) ).
thf(199,axiom,
( zero_zero_set_real
= ( insert_real @ zero_zero_real @ bot_bot_set_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_set__zero) ).
thf(200,axiom,
! [X12: char,Y1: char] :
( ( ( rVar @ X12 )
= ( rVar @ Y1 ) )
= ( X12 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_variable_Oinject_I1_J) ).
thf(201,axiom,
! [X0: trm,X1: denotational_interp,X22: trm,X3: denotational_interp,X4: char,X5: real > variable > real] :
( ( ? [V6: variable > real] :
( ( denota1419872369iation @ V6 @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ V6 )
!= ( denota1863255036rm_sem @ X1 @ X0 @ V6 ) ) ) )
= ( ( denota1419872369iation @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) )
!= ( denota1863255036rm_sem @ X1 @ X0 @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155__092_060open_062_092_060forall_062x0_Ax1_Ax2_Ax3_Ax4_Ax5_O_A_I_092_060exists_062v6_O_AUvariation_Av6_A_Ix5_A0_J_A_123RVar_Ax4_M_ADVar_Ax4_125_A_092_060and_062_Aterm__sem_Ax3_Ax2_Av6_A_092_060noteq_062_Aterm__sem_Ax1_Ax0_Av6_J_A_061_A_IUvariation_A_Irr_Ax0_Ax1_Ax2_Ax3_Ax4_Ax5_J_A_Ix5_A0_J_A_123RVar_Ax4_M_ADVar_Ax4_125_A_092_060and_062_Aterm__sem_Ax3_Ax2_A_Irr_Ax0_Ax1_Ax2_Ax3_Ax4_Ax5_J_A_092_060noteq_062_Aterm__sem_Ax1_Ax0_A_Irr_Ax0_Ax1_Ax2_Ax3_Ax4_Ax5_J_J_092_060close_062) ).
thf(202,axiom,
! [F: real > variable > real,Omega: variable > real,U: set_variable,I2: denotational_interp,X: char,Theta: trm,Zeta: real] :
( ( denota1419872369iation @ ( F @ zero_zero_real ) @ Omega @ U )
=> ( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
=> ( denota1419872369iation @ ( F @ Zeta ) @ Omega @ ( sup_sup_set_variable @ U @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_solves__Vagree__trans) ).
thf(203,axiom,
~ ! [Rr: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real] :
~ ! [X0: trm,X1: denotational_interp,X22: trm,X3: denotational_interp,X4: char,X5: real > variable > real] :
( ( ? [V6: variable > real] :
( ( denota1419872369iation @ V6 @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ V6 )
!= ( denota1863255036rm_sem @ X1 @ X0 @ V6 ) ) ) )
= ( ( denota1419872369iation @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) )
!= ( denota1863255036rm_sem @ X1 @ X0 @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062rr_O_A_092_060forall_062x0_Ax1_Ax2_Ax3_Ax4_Ax5_O_A_I_092_060exists_062v6_O_AUvariation_Av6_A_Ix5_A0_J_A_123RVar_Ax4_M_ADVar_Ax4_125_A_092_060and_062_Aterm__sem_Ax3_Ax2_Av6_A_092_060noteq_062_Aterm__sem_Ax1_Ax0_Av6_J_A_061_A_IUvariation_A_Irr_Ax0_Ax1_Ax2_Ax3_Ax4_Ax5_J_A_Ix5_A0_J_A_123RVar_Ax4_M_ADVar_Ax4_125_A_092_060and_062_Aterm__sem_Ax3_Ax2_A_Irr_Ax0_Ax1_Ax2_Ax3_Ax4_Ax5_J_A_092_060noteq_062_Aterm__sem_Ax1_Ax0_A_Irr_Ax0_Ax1_Ax2_Ax3_Ax4_Ax5_J_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(205,axiom,
( insert_variable
= ( ^ [A3: variable] : ( sup_sup_set_variable @ ( insert_variable @ A3 @ bot_bot_set_variable ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_insert__is__Un) ).
thf(207,axiom,
! [A2: set_variable,B: set_variable,X: variable] :
( ( ( sup_sup_set_variable @ A2 @ B )
= ( insert_variable @ X @ bot_bot_set_variable ) )
= ( ( ( A2 = bot_bot_set_variable )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B = bot_bot_set_variable ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_Un__singleton__iff) ).
thf(209,axiom,
! [X: variable,A2: set_variable,B: set_variable] :
( ( ( insert_variable @ X @ bot_bot_set_variable )
= ( sup_sup_set_variable @ A2 @ B ) )
= ( ( ( A2 = bot_bot_set_variable )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B = bot_bot_set_variable ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_singleton__Un__iff) ).
thf(210,axiom,
! [Omega: variable > real,Nu: variable > real,U: set_variable,Mu: variable > real,V: set_variable] :
( ( denota1419872369iation @ Omega @ Nu @ U )
=> ( ( denota1419872369iation @ Nu @ Mu @ V )
=> ( denota1419872369iation @ Omega @ Mu @ ( sup_sup_set_variable @ U @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_Uvariation__trans) ).
thf(212,axiom,
! [B: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ B )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_Un__empty__left) ).
thf(214,axiom,
! [A2: set_variable] :
( ( sup_sup_set_variable @ A2 @ bot_bot_set_variable )
= A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_Un__empty__right) ).
thf(216,axiom,
! [B2: variable,A: variable] :
( ( member_variable @ B2 @ ( insert_variable @ A @ bot_bot_set_variable ) )
=> ( B2 = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_singletonD) ).
thf(218,axiom,
! [B2: variable,A: variable] :
( ( member_variable @ B2 @ ( insert_variable @ A @ bot_bot_set_variable ) )
= ( B2 = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_singleton__iff) ).
thf(220,axiom,
! [A: variable,B2: variable,C2: variable,D: variable] :
( ( ( insert_variable @ A @ ( insert_variable @ B2 @ bot_bot_set_variable ) )
= ( insert_variable @ C2 @ ( insert_variable @ D @ bot_bot_set_variable ) ) )
= ( ( ( A = C2 )
& ( B2 = D ) )
| ( ( A = D )
& ( B2 = C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_doubleton__eq__iff) ).
thf(222,axiom,
! [A: variable,A2: set_variable] :
( ( insert_variable @ A @ A2 )
!= bot_bot_set_variable ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_insert__not__empty) ).
thf(224,axiom,
! [A: variable,B2: variable] :
( ( ( insert_variable @ A @ bot_bot_set_variable )
= ( insert_variable @ B2 @ bot_bot_set_variable ) )
=> ( A = B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_singleton__inject) ).
thf(225,axiom,
( denota1419872369iation
= ( ^ [Nu3: variable > real,Nu4: variable > real,U2: set_variable] :
! [I: variable] :
( ~ ( member_variable @ I @ U2 )
=> ( ( Nu3 @ I )
= ( Nu4 @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_Uvariation__def) ).
thf(226,axiom,
( denota1419872369iation
= ( ^ [Omega2: variable > real,Nu3: variable > real] : ( denota1419872369iation @ Nu3 @ Omega2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_Uvariation__sym) ).
thf(227,axiom,
! [Nu: variable > real,V: set_variable] : ( denota1419872369iation @ Nu @ Nu @ V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_Uvariation__refl) ).
thf(228,axiom,
! [Omega: variable > real,Nu: variable > real,U: set_variable] :
( ( denota1419872369iation @ Omega @ Nu @ U )
=> ( denota1419872369iation @ Nu @ Omega @ U ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_Uvariation__sym__rel) ).
thf(230,axiom,
! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) )
=> ( ~ ( member_variable @ C2 @ A2 )
=> ( member_variable @ C2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_UnE) ).
thf(232,axiom,
! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ A2 )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_UnI1) ).
thf(234,axiom,
! [C2: variable,B: set_variable,A2: set_variable] :
( ( member_variable @ C2 @ B )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_UnI2) ).
thf(236,axiom,
! [A2: set_variable,B: set_variable,P: variable > $o] :
( ( ? [X2: variable] :
( ( member_variable @ X2 @ ( sup_sup_set_variable @ A2 @ B ) )
& ( P @ X2 ) ) )
= ( ? [X2: variable] :
( ( member_variable @ X2 @ A2 )
& ( P @ X2 ) )
| ? [X2: variable] :
( ( member_variable @ X2 @ B )
& ( P @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_bex__Un) ).
thf(238,axiom,
! [A2: set_variable,B: set_variable,P: variable > $o] :
( ( ! [X2: variable] :
( ( member_variable @ X2 @ ( sup_sup_set_variable @ A2 @ B ) )
=> ( P @ X2 ) ) )
= ( ! [X2: variable] :
( ( member_variable @ X2 @ A2 )
=> ( P @ X2 ) )
& ! [X2: variable] :
( ( member_variable @ X2 @ B )
=> ( P @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_ball__Un) ).
thf(240,axiom,
! [A2: set_variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A2 @ B ) @ C )
= ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_Un__assoc) ).
thf(242,axiom,
! [A2: set_variable] :
( ( sup_sup_set_variable @ A2 @ A2 )
= A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_Un__absorb) ).
thf(244,axiom,
( sup_sup_set_variable
= ( ^ [A4: set_variable,B5: set_variable] : ( sup_sup_set_variable @ B5 @ A4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_Un__commute) ).
thf(246,axiom,
! [A2: set_variable,B: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ A2 @ B ) )
= ( sup_sup_set_variable @ A2 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_Un__left__absorb) ).
thf(248,axiom,
! [A2: set_variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ B @ C ) )
= ( sup_sup_set_variable @ B @ ( sup_sup_set_variable @ A2 @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_Un__left__commute) ).
thf(250,axiom,
! [X: set_variable,Y: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ X @ Y ) )
= ( sup_sup_set_variable @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_inf__sup__aci_I8_J) ).
thf(252,axiom,
! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) )
= ( sup_sup_set_variable @ Y @ ( sup_sup_set_variable @ X @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_inf__sup__aci_I7_J) ).
thf(254,axiom,
! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_inf__sup__aci_I6_J) ).
thf(256,axiom,
( sup_sup_set_variable
= ( ^ [X2: set_variable,Y3: set_variable] : ( sup_sup_set_variable @ Y3 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_inf__sup__aci_I5_J) ).
thf(258,axiom,
! [A2: set_variable,K: set_variable,A: set_variable,B2: set_variable] :
( ( A2
= ( sup_sup_set_variable @ K @ A ) )
=> ( ( sup_sup_set_variable @ A2 @ B2 )
= ( sup_sup_set_variable @ K @ ( sup_sup_set_variable @ A @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_boolean__algebra__cancel_Osup1) ).
thf(260,axiom,
! [B: set_variable,K: set_variable,B2: set_variable,A: set_variable] :
( ( B
= ( sup_sup_set_variable @ K @ B2 ) )
=> ( ( sup_sup_set_variable @ A @ B )
= ( sup_sup_set_variable @ K @ ( sup_sup_set_variable @ A @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_boolean__algebra__cancel_Osup2) ).
thf(262,axiom,
! [A: set_variable,B2: set_variable,C2: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A @ B2 ) @ C2 )
= ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ B2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_sup_Oassoc) ).
thf(264,axiom,
! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_sup__assoc) ).
thf(266,axiom,
( sup_sup_set_variable
= ( ^ [A3: set_variable,B4: set_variable] : ( sup_sup_set_variable @ B4 @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_sup_Ocommute) ).
thf(272,axiom,
( sup_sup_set_variable
= ( ^ [X2: set_variable,Y3: set_variable] : ( sup_sup_set_variable @ Y3 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_sup__commute) ).
thf(274,axiom,
! [B2: set_variable,A: set_variable,C2: set_variable] :
( ( sup_sup_set_variable @ B2 @ ( sup_sup_set_variable @ A @ C2 ) )
= ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ B2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_sup_Oleft__commute) ).
thf(276,axiom,
! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) )
= ( sup_sup_set_variable @ Y @ ( sup_sup_set_variable @ X @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_sup__left__commute) ).
thf(278,axiom,
! [A: variable,B2: variable,A2: set_variable] :
( ( member_variable @ A @ ( insert_variable @ B2 @ A2 ) )
=> ( ( A != B2 )
=> ( member_variable @ A @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_insertE) ).
thf(280,axiom,
! [A: variable,B: set_variable] : ( member_variable @ A @ ( insert_variable @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_insertI1) ).
thf(282,axiom,
! [A: variable,B: set_variable,B2: variable] :
( ( member_variable @ A @ B )
=> ( member_variable @ A @ ( insert_variable @ B2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_insertI2) ).
thf(284,axiom,
! [X: variable,A2: set_variable] :
( ( member_variable @ X @ A2 )
=> ~ ! [B3: set_variable] :
( ( A2
= ( insert_variable @ X @ B3 ) )
=> ( member_variable @ X @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_Set_Oset__insert) ).
thf(286,axiom,
! [X: variable,A2: set_variable,B: set_variable] :
( ~ ( member_variable @ X @ A2 )
=> ( ~ ( member_variable @ X @ B )
=> ( ( ( insert_variable @ X @ A2 )
= ( insert_variable @ X @ B ) )
= ( A2 = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_insert__ident) ).
thf(288,axiom,
! [A: variable,A2: set_variable] :
( ( member_variable @ A @ A2 )
=> ( ( insert_variable @ A @ A2 )
= A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_insert__absorb) ).
thf(290,axiom,
! [A: variable,A2: set_variable,B2: variable,B: set_variable] :
( ~ ( member_variable @ A @ A2 )
=> ( ~ ( member_variable @ B2 @ B )
=> ( ( ( insert_variable @ A @ A2 )
= ( insert_variable @ B2 @ B ) )
= ( ( ( A = B2 )
=> ( A2 = B ) )
& ( ( A != B2 )
=> ? [C3: set_variable] :
( ( A2
= ( insert_variable @ B2 @ C3 ) )
& ~ ( member_variable @ B2 @ C3 )
& ( B
= ( insert_variable @ A @ C3 ) )
& ~ ( member_variable @ A @ C3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_insert__eq__iff) ).
thf(292,axiom,
! [X: variable,Y: variable,A2: set_variable] :
( ( insert_variable @ X @ ( insert_variable @ Y @ A2 ) )
= ( insert_variable @ Y @ ( insert_variable @ X @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_insert__commute) ).
thf(294,axiom,
! [A: variable,A2: set_variable] :
( ( member_variable @ A @ A2 )
=> ? [B3: set_variable] :
( ( A2
= ( insert_variable @ A @ B3 ) )
& ~ ( member_variable @ A @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_mk__disjoint__insert) ).
thf(296,axiom,
! [A: variable] :
~ ( member_variable @ A @ bot_bot_set_variable ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_emptyE) ).
thf(298,axiom,
! [A2: set_variable,A: variable] :
( ( A2 = bot_bot_set_variable )
=> ~ ( member_variable @ A @ A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_equals0D) ).
thf(300,axiom,
! [A2: set_variable] :
( ! [Y2: variable] :
~ ( member_variable @ Y2 @ A2 )
=> ( A2 = bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_equals0I) ).
thf(302,axiom,
! [A2: set_variable] :
( ( ? [X2: variable] : ( member_variable @ X2 @ A2 ) )
= ( A2 != bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_ex__in__conv) ).
thf(304,axiom,
( bot_bot_set_variable
= ( collect_variable @ bot_bot_variable_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_bot__set__def) ).
thf(306,axiom,
! [A: variable] : ( member_variable @ A @ ( insert_variable @ A @ bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_singletonI) ).
thf(308,axiom,
! [C2: variable,B: set_variable,A2: set_variable] :
( ( ~ ( member_variable @ C2 @ B )
=> ( member_variable @ C2 @ A2 ) )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_UnCI) ).
thf(310,axiom,
! [A: set_variable] :
( ( sup_sup_set_variable @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_sup_Oidem) ).
thf(312,axiom,
! [X: set_variable] :
( ( sup_sup_set_variable @ X @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_sup__idem) ).
thf(314,axiom,
! [A: set_variable,B2: set_variable] :
( ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ A @ B2 ) )
= ( sup_sup_set_variable @ A @ B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_sup_Oleft__idem) ).
thf(316,axiom,
! [X: set_variable,Y: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ X @ Y ) )
= ( sup_sup_set_variable @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_sup__left__idem) ).
thf(318,axiom,
! [A: set_variable,B2: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A @ B2 ) @ B2 )
= ( sup_sup_set_variable @ A @ B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_sup_Oright__idem) ).
thf(320,axiom,
! [A: variable,B: set_variable,B2: variable] :
( ( ~ ( member_variable @ A @ B )
=> ( A = B2 ) )
=> ( member_variable @ A @ ( insert_variable @ B2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_insertCI) ).
thf(322,axiom,
! [A: variable,B2: variable,A2: set_variable] :
( ( member_variable @ A @ ( insert_variable @ B2 @ A2 ) )
= ( ( A = B2 )
| ( member_variable @ A @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_insert__iff) ).
thf(324,axiom,
! [X: variable,A2: set_variable] :
( ( insert_variable @ X @ ( insert_variable @ X @ A2 ) )
= ( insert_variable @ X @ A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_insert__absorb2) ).
thf(326,axiom,
! [C2: variable] :
~ ( member_variable @ C2 @ bot_bot_set_variable ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_empty__iff) ).
thf(328,axiom,
! [A2: set_variable] :
( ( ! [X2: variable] :
~ ( member_variable @ X2 @ A2 ) )
= ( A2 = bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_all__not__in__conv) ).
thf(330,axiom,
! [P: variable > $o] :
( ( ( collect_variable @ P )
= bot_bot_set_variable )
= ( ! [X2: variable] :
~ ( P @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_Collect__empty__eq) ).
thf(332,axiom,
! [P: variable > $o] :
( ( bot_bot_set_variable
= ( collect_variable @ P ) )
= ( ! [X2: variable] :
~ ( P @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_empty__Collect__eq) ).
thf(334,axiom,
! [A: set_variable] :
( ( sup_sup_set_variable @ A @ bot_bot_set_variable )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_sup__bot_Oright__neutral) ).
thf(336,axiom,
! [A: set_variable,B2: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ A @ B2 ) )
= ( ( A = bot_bot_set_variable )
& ( B2 = bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_sup__bot_Oneutr__eq__iff) ).
thf(338,axiom,
! [A: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_sup__bot_Oleft__neutral) ).
thf(339,axiom,
! [A: set_variable,B2: set_variable] :
( ( ( sup_sup_set_variable @ A @ B2 )
= bot_bot_set_variable )
= ( ( A = bot_bot_set_variable )
& ( B2 = bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_sup__bot_Oeq__neutr__iff) ).
thf(341,axiom,
! [X: set_variable,Y: set_variable] :
( ( ( sup_sup_set_variable @ X @ Y )
= bot_bot_set_variable )
= ( ( X = bot_bot_set_variable )
& ( Y = bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_sup__eq__bot__iff) ).
thf(343,axiom,
! [X: set_variable,Y: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ X @ Y ) )
= ( ( X = bot_bot_set_variable )
& ( Y = bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_bot__eq__sup__iff) ).
thf(345,axiom,
! [X: set_variable] :
( ( sup_sup_set_variable @ X @ bot_bot_set_variable )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_sup__bot__right) ).
thf(347,axiom,
! [X: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_sup__bot__left) ).
thf(349,axiom,
! [A2: set_variable,B: set_variable] :
( ( ( sup_sup_set_variable @ A2 @ B )
= bot_bot_set_variable )
= ( ( A2 = bot_bot_set_variable )
& ( B = bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_Un__empty) ).
thf(352,axiom,
! [A2: set_variable,A: variable,B: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( insert_variable @ A @ B ) )
= ( insert_variable @ A @ ( sup_sup_set_variable @ A2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_Un__insert__right) ).
thf(354,axiom,
! [A: variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ ( insert_variable @ A @ B ) @ C )
= ( insert_variable @ A @ ( sup_sup_set_variable @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Un__insert__left) ).
thf(355,axiom,
! [Nu: variable > real,Nu2: variable > real] :
( ( denota1419872369iation @ Nu @ Nu2 @ bot_bot_set_variable )
= ( Nu = Nu2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_Uvariation__empty) ).
thf(356,axiom,
denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_uv) ).
thf(357,conjecture,
denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(358,negated_conjecture,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
= $false ),
inference(negate_conjecture,[status(cth)],[357]) ).
thf(359,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
= $false ),
inference(unfold_def,[status(thm)],[358]) ).
thf(360,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(361,plain,
( ( ! [B2: set_variable,C2: set_variable,A: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ B2 @ C2 ) @ A )
= ( ( ord_le282106107riable @ B2 @ A )
& ( ord_le282106107riable @ C2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(362,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( ( ord_le282106107riable @ X @ Z )
& ( ord_le282106107riable @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(363,plain,
( ( ! [Omega: variable > real,Omega3: variable > real,U: set_variable,Theta: trm,I2: denotational_interp] :
( ( denota1419872369iation @ Omega @ Omega3 @ U )
=> ( ( ( inf_inf_set_variable @ ( static_FVT @ Theta ) @ U )
= bot_bot_set_variable )
=> ( ( denota1863255036rm_sem @ I2 @ Theta @ Omega )
= ( denota1863255036rm_sem @ I2 @ Theta @ Omega3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(364,plain,
( ( ! [Nu: variable > real,Omega: variable > real] :
( ( stateinterpol @ Nu @ Omega @ bot_bot_set_variable )
= Omega ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(365,plain,
( ( ! [V4: variable > real,W2: variable > real,S: set_variable,Z: variable] : ( denotational_Vagree @ ( stateinterpol @ V4 @ W2 @ S ) @ ( stateinterpol @ V4 @ W2 @ ( insert_variable @ Z @ S ) ) @ ( uminus1851247844riable @ ( insert_variable @ Z @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(366,plain,
( ( ! [X7: set_variable_real,Nu: variable > real,V: set_variable,Y4: set_variable_real] :
( ( ( static_selectlike @ X7 @ Nu @ V )
= ( static_selectlike @ Y4 @ Nu @ V ) )
= ( ! [Mu3: variable > real] :
( ( denota1419872369iation @ Mu3 @ Nu @ ( uminus1851247844riable @ V ) )
=> ( ( member_variable_real @ Mu3 @ X7 )
= ( member_variable_real @ Mu3 @ Y4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(367,plain,
( ( ! [X7: set_variable_real,Nu: variable > real,V: set_variable,Y4: set_variable_real] :
( ( ( static_selectlike @ X7 @ Nu @ ( uminus1851247844riable @ V ) )
= ( static_selectlike @ Y4 @ Nu @ ( uminus1851247844riable @ V ) ) )
= ( ! [Mu3: variable > real] :
( ( denota1419872369iation @ Mu3 @ Nu @ V )
=> ( ( member_variable_real @ Mu3 @ X7 )
= ( member_variable_real @ Mu3 @ Y4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(368,plain,
( ( ! [Nu: variable > real,V: set_variable,X7: set_variable_real,Y4: set_variable_real] :
( ! [Mu2: variable > real] :
( ( denota1419872369iation @ Mu2 @ Nu @ ( uminus1851247844riable @ V ) )
=> ( ( member_variable_real @ Mu2 @ X7 )
= ( member_variable_real @ Mu2 @ Y4 ) ) )
=> ( ( static_selectlike @ X7 @ Nu @ V )
= ( static_selectlike @ Y4 @ Nu @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(369,plain,
( ( ! [Nu: variable > real,V: set_variable,X7: set_variable_real,Y4: set_variable_real] :
( ! [Mu2: variable > real] :
( ( denota1419872369iation @ Mu2 @ Nu @ V )
=> ( ( member_variable_real @ Mu2 @ X7 )
= ( member_variable_real @ Mu2 @ Y4 ) ) )
=> ( ( static_selectlike @ X7 @ Nu @ ( uminus1851247844riable @ V ) )
= ( static_selectlike @ Y4 @ Nu @ ( uminus1851247844riable @ V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(370,plain,
( ( ! [Nu: variable > real,Nu2: variable > real,V: set_variable] :
( ( denota1419872369iation @ Nu @ Nu2 @ ( uminus1851247844riable @ V ) )
= ( denotational_Vagree @ Nu @ Nu2 @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(371,plain,
( ( ! [A: real] :
( ( ( uminus_uminus_real @ A )
= A )
= ( A = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(372,plain,
( ( ! [A: real] :
( ( A
= ( uminus_uminus_real @ A ) )
= ( A = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(373,plain,
( ( ! [A: real] :
( ( ( uminus_uminus_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(374,plain,
( ( ! [A: real] :
( ( zero_zero_real
= ( uminus_uminus_real @ A ) )
= ( zero_zero_real = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(375,plain,
( ( ( uminus_uminus_real @ zero_zero_real )
= zero_zero_real )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(376,plain,
( ( ! [Omega: variable > real,X: variable,D: real] : ( denotational_Vagree @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( uminus1851247844riable @ ( insert_variable @ X @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(377,plain,
( ( ! [I2: denotational_interp,F: real > variable > real,X: char,Theta: trm,Zeta: real] :
( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
=> ( denotational_Vagree @ ( F @ Zeta ) @ ( F @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(378,plain,
( ( ( set_option_variable2 @ none_variable )
= bot_bot_set_variable )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(379,plain,
( ( ! [Nu: variable > real,Nu2: variable > real] : ( denotational_Vagree @ Nu @ Nu2 @ bot_bot_set_variable ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(380,plain,
( ( ! [Nu: variable > real,Nu2: variable > real,V: set_variable,W: set_variable] :
( ( denotational_Vagree @ Nu @ Nu2 @ V )
=> ( ( denotational_Vagree @ Nu @ Nu2 @ W )
=> ( denotational_Vagree @ Nu @ Nu2 @ ( sup_sup_set_variable @ V @ W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(381,plain,
( ( ! [Xo: option_variable] :
( ( ( set_option_variable2 @ Xo )
= bot_bot_set_variable )
= ( Xo = none_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(382,plain,
( ( ! [Nu: variable > real,Nu2: variable > real,V: set_variable,W: set_variable] :
( ( ( denotational_Vagree @ Nu @ Nu2 @ V )
& ( denotational_Vagree @ Nu @ Nu2 @ W ) )
= ( denotational_Vagree @ Nu @ Nu2 @ ( sup_sup_set_variable @ V @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(383,plain,
( ( ! [Omega: variable > real,X: variable,D: real] :
( ( denotational_Vagree @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( insert_variable @ X @ bot_bot_set_variable ) )
= ( D
= ( Omega @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(384,plain,
( ( ! [X23: variable] :
( ( set_option_variable2 @ ( some_variable @ X23 ) )
= ( insert_variable @ X23 @ bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(385,plain,
( ( ! [X7: set_variable_real,Nu: variable > real,V: set_variable,W: set_variable] :
( ( static_selectlike @ ( static_selectlike @ X7 @ Nu @ V ) @ Nu @ W )
= ( static_selectlike @ X7 @ Nu @ ( sup_sup_set_variable @ V @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(386,plain,
( ( ! [X7: set_variable_real,Nu: variable > real] :
( ( static_selectlike @ X7 @ Nu @ bot_bot_set_variable )
= X7 ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(387,plain,
( ( ! [Omega: variable > real,X: variable,D: real,X7: set_variable_real] :
( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ X @ bot_bot_set_variable ) ) )
= ( ( D
= ( Omega @ X ) )
& ( member_variable_real @ Omega @ X7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(388,plain,
( ( ! [X: variable,Y: variable,Omega: variable > real,D: real,X7: set_variable_real] :
( ( X != Y )
=> ( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ Y @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ X7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(389,plain,
( ( ! [X: variable,Y: variable,Omega: variable > real,D: real,X7: set_variable_real] :
( ( X != Y )
=> ( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ X7 )
= ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ Y @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(390,plain,
( ( ! [X: variable,A2: set_option_variable] :
( ( these_variable @ ( insert1340772453riable @ ( some_variable @ X ) @ A2 ) )
= ( insert_variable @ X @ ( these_variable @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(391,plain,
( ( ( these_variable @ bot_bo266290559riable )
= bot_bot_set_variable )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(392,plain,
( ( ! [Omega: variable > real,X: variable,D: real] : ( denota1419872369iation @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( insert_variable @ X @ bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(393,plain,
( ( is_empty_variable
= ( ^ [A4: set_variable] : ( A4 = bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(394,plain,
( ( ! [X23: char] :
( ( size_size_variable @ ( dVar @ X23 ) )
= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(395,plain,
( ( ! [X12: char] :
( ( size_size_variable @ ( rVar @ X12 ) )
= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(396,plain,
( ( ! [X23: char] :
( ( size_variable @ ( dVar @ X23 ) )
= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(397,plain,
( ( ! [X12: char] :
( ( size_variable @ ( rVar @ X12 ) )
= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(398,plain,
( ( ! [A2: set_variable] :
( ( is_sin155454833riable @ A2 )
=> ~ ! [X6: variable] :
( A2
!= ( insert_variable @ X6 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(399,plain,
( ( is_sin155454833riable
= ( ^ [A4: set_variable] :
? [X2: variable] :
( A4
= ( insert_variable @ X2 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(400,plain,
( ( ! [A2: set_variable] :
( ( A2 != bot_bot_set_variable )
=> ( ! [X6: variable,Y2: variable] :
( ( member_variable @ X6 @ A2 )
=> ( ( member_variable @ Y2 @ A2 )
=> ( X6 = Y2 ) ) )
=> ( is_sin155454833riable @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(401,plain,
( ( ! [X: variable] : ( is_sin155454833riable @ ( insert_variable @ X @ bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(402,plain,
( ( is_sin155454833riable
= ( ^ [A4: set_variable] :
( A4
= ( insert_variable @ ( the_elem_variable @ A4 ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(403,plain,
( ( ! [P: variable > $o] :
( ( ( collect_variable @ P )
= bot_bot_set_variable )
= ( P = bot_bot_variable_o ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(404,plain,
( ( bot_bot_variable_o
= ( ^ [X2: variable] : ( member_variable @ X2 @ bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(405,plain,
( ( ! [Y: variable] :
( ! [X13: char] :
( Y
!= ( rVar @ X13 ) )
=> ~ ! [X24: char] :
( Y
!= ( dVar @ X24 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(406,plain,
( ( ! [P: variable > $o,Variable: variable] :
( ! [X6: char] : ( P @ ( rVar @ X6 ) )
=> ( ! [X6: char] : ( P @ ( dVar @ X6 ) )
=> ( P @ Variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(407,plain,
( ( ! [X12: char,X23: char] :
( ( rVar @ X12 )
!= ( dVar @ X23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(408,plain,
( ( ! [F: real > variable > real,X: char,I2: denotational_interp,Theta: trm,J: denotational_interp,Eta: trm] :
( ! [Nu5: variable > real] :
( ( denota1419872369iation @ Nu5 @ ( F @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) )
=> ( ( denota1863255036rm_sem @ I2 @ Theta @ Nu5 )
= ( denota1863255036rm_sem @ J @ Eta @ Nu5 ) ) )
=> ( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
= ( denota1778088425es_ODE @ J @ F @ X @ Eta ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(409,plain,
( ( ! [X: variable,A2: set_variable,B: set_variable] :
( ( ~ ( member_variable @ X @ ( sup_sup_set_variable @ A2 @ B ) ) )
= ( ~ ( member_variable @ X @ A2 )
& ~ ( member_variable @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(410,plain,
( ( ! [X: real] :
( ( zero_zero_real = X )
= ( X = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(411,plain,
( ( ! [F2: real > variable > real,C4: char,I3: denotational_interp,T: trm,Ia: denotational_interp,Ta: trm] :
( ( ( denota1419872369iation @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) @ ( F2 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ C4 ) @ ( insert_variable @ ( dVar @ C4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ I3 @ T @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) )
!= ( denota1863255036rm_sem @ Ia @ Ta @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) ) ) )
| ( ( denota1778088425es_ODE @ I3 @ F2 @ C4 @ T )
= ( denota1778088425es_ODE @ Ia @ F2 @ C4 @ Ta ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(412,plain,
( ( ! [X: variable] :
( ( the_elem_variable @ ( insert_variable @ X @ bot_bot_set_variable ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(413,plain,
( ( ! [A: variable,B: set_variable,P: variable > $o] :
( ( ! [X2: variable] :
( ( member_variable @ X2 @ ( insert_variable @ A @ B ) )
=> ( P @ X2 ) ) )
= ( ( P @ A )
& ! [X2: variable] :
( ( member_variable @ X2 @ B )
=> ( P @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(414,plain,
( ( ! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) )
= ( ( member_variable @ C2 @ A2 )
| ( member_variable @ C2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(415,plain,
( ( ! [X23: char,Y22: char] :
( ( ( dVar @ X23 )
= ( dVar @ Y22 ) )
= ( X23 = Y22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(416,plain,
( ( zero_zero_set_real
= ( insert_real @ zero_zero_real @ bot_bot_set_real ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(417,plain,
( ( ! [X12: char,Y1: char] :
( ( ( rVar @ X12 )
= ( rVar @ Y1 ) )
= ( X12 = Y1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(418,plain,
( ( ! [X0: trm,X1: denotational_interp,X22: trm,X3: denotational_interp,X4: char,X5: real > variable > real] :
( ( ? [V6: variable > real] :
( ( denota1419872369iation @ V6 @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ V6 )
!= ( denota1863255036rm_sem @ X1 @ X0 @ V6 ) ) ) )
= ( ( denota1419872369iation @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) )
!= ( denota1863255036rm_sem @ X1 @ X0 @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(419,plain,
( ( ! [F: real > variable > real,Omega: variable > real,U: set_variable,I2: denotational_interp,X: char,Theta: trm,Zeta: real] :
( ( denota1419872369iation @ ( F @ zero_zero_real ) @ Omega @ U )
=> ( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
=> ( denota1419872369iation @ ( F @ Zeta ) @ Omega @ ( sup_sup_set_variable @ U @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(420,plain,
( ( ~ ! [Rr: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real] :
~ ! [X0: trm,X1: denotational_interp,X22: trm,X3: denotational_interp,X4: char,X5: real > variable > real] :
( ( ? [V6: variable > real] :
( ( denota1419872369iation @ V6 @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ V6 )
!= ( denota1863255036rm_sem @ X1 @ X0 @ V6 ) ) ) )
= ( ( denota1419872369iation @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) )
!= ( denota1863255036rm_sem @ X1 @ X0 @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(421,plain,
( ( insert_variable
= ( ^ [A3: variable] : ( sup_sup_set_variable @ ( insert_variable @ A3 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(422,plain,
( ( ! [A2: set_variable,B: set_variable,X: variable] :
( ( ( sup_sup_set_variable @ A2 @ B )
= ( insert_variable @ X @ bot_bot_set_variable ) )
= ( ( ( A2 = bot_bot_set_variable )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B = bot_bot_set_variable ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(423,plain,
( ( ! [X: variable,A2: set_variable,B: set_variable] :
( ( ( insert_variable @ X @ bot_bot_set_variable )
= ( sup_sup_set_variable @ A2 @ B ) )
= ( ( ( A2 = bot_bot_set_variable )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B = bot_bot_set_variable ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(424,plain,
( ( ! [Omega: variable > real,Nu: variable > real,U: set_variable,Mu: variable > real,V: set_variable] :
( ( denota1419872369iation @ Omega @ Nu @ U )
=> ( ( denota1419872369iation @ Nu @ Mu @ V )
=> ( denota1419872369iation @ Omega @ Mu @ ( sup_sup_set_variable @ U @ V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(425,plain,
( ( ! [B: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ B )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(426,plain,
( ( ! [A2: set_variable] :
( ( sup_sup_set_variable @ A2 @ bot_bot_set_variable )
= A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(427,plain,
( ( ! [B2: variable,A: variable] :
( ( member_variable @ B2 @ ( insert_variable @ A @ bot_bot_set_variable ) )
=> ( B2 = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(428,plain,
( ( ! [B2: variable,A: variable] :
( ( member_variable @ B2 @ ( insert_variable @ A @ bot_bot_set_variable ) )
= ( B2 = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(429,plain,
( ( ! [A: variable,B2: variable,C2: variable,D: variable] :
( ( ( insert_variable @ A @ ( insert_variable @ B2 @ bot_bot_set_variable ) )
= ( insert_variable @ C2 @ ( insert_variable @ D @ bot_bot_set_variable ) ) )
= ( ( ( A = C2 )
& ( B2 = D ) )
| ( ( A = D )
& ( B2 = C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(430,plain,
( ( ! [A: variable,A2: set_variable] :
( ( insert_variable @ A @ A2 )
!= bot_bot_set_variable ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(431,plain,
( ( ! [A: variable,B2: variable] :
( ( ( insert_variable @ A @ bot_bot_set_variable )
= ( insert_variable @ B2 @ bot_bot_set_variable ) )
=> ( A = B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(432,plain,
( ( denota1419872369iation
= ( ^ [Nu3: variable > real,Nu4: variable > real,U2: set_variable] :
! [I: variable] :
( ~ ( member_variable @ I @ U2 )
=> ( ( Nu3 @ I )
= ( Nu4 @ I ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(433,plain,
( ( denota1419872369iation
= ( ^ [Omega2: variable > real,Nu3: variable > real] : ( denota1419872369iation @ Nu3 @ Omega2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(434,plain,
( ( ! [Nu: variable > real,V: set_variable] : ( denota1419872369iation @ Nu @ Nu @ V ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(435,plain,
( ( ! [Omega: variable > real,Nu: variable > real,U: set_variable] :
( ( denota1419872369iation @ Omega @ Nu @ U )
=> ( denota1419872369iation @ Nu @ Omega @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(436,plain,
( ( ! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) )
=> ( ~ ( member_variable @ C2 @ A2 )
=> ( member_variable @ C2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(437,plain,
( ( ! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ A2 )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(438,plain,
( ( ! [C2: variable,B: set_variable,A2: set_variable] :
( ( member_variable @ C2 @ B )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(439,plain,
( ( ! [A2: set_variable,B: set_variable,P: variable > $o] :
( ( ? [X2: variable] :
( ( member_variable @ X2 @ ( sup_sup_set_variable @ A2 @ B ) )
& ( P @ X2 ) ) )
= ( ? [X2: variable] :
( ( member_variable @ X2 @ A2 )
& ( P @ X2 ) )
| ? [X2: variable] :
( ( member_variable @ X2 @ B )
& ( P @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(440,plain,
( ( ! [A2: set_variable,B: set_variable,P: variable > $o] :
( ( ! [X2: variable] :
( ( member_variable @ X2 @ ( sup_sup_set_variable @ A2 @ B ) )
=> ( P @ X2 ) ) )
= ( ! [X2: variable] :
( ( member_variable @ X2 @ A2 )
=> ( P @ X2 ) )
& ! [X2: variable] :
( ( member_variable @ X2 @ B )
=> ( P @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(441,plain,
( ( ! [A2: set_variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A2 @ B ) @ C )
= ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(442,plain,
( ( ! [A2: set_variable] :
( ( sup_sup_set_variable @ A2 @ A2 )
= A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(443,plain,
( ( sup_sup_set_variable
= ( ^ [A4: set_variable,B5: set_variable] : ( sup_sup_set_variable @ B5 @ A4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(444,plain,
( ( ! [A2: set_variable,B: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ A2 @ B ) )
= ( sup_sup_set_variable @ A2 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(445,plain,
( ( ! [A2: set_variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ B @ C ) )
= ( sup_sup_set_variable @ B @ ( sup_sup_set_variable @ A2 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(446,plain,
( ( ! [X: set_variable,Y: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ X @ Y ) )
= ( sup_sup_set_variable @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(447,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) )
= ( sup_sup_set_variable @ Y @ ( sup_sup_set_variable @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(448,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(449,plain,
( ( sup_sup_set_variable
= ( ^ [X2: set_variable,Y3: set_variable] : ( sup_sup_set_variable @ Y3 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(450,plain,
( ( ! [A2: set_variable,K: set_variable,A: set_variable,B2: set_variable] :
( ( A2
= ( sup_sup_set_variable @ K @ A ) )
=> ( ( sup_sup_set_variable @ A2 @ B2 )
= ( sup_sup_set_variable @ K @ ( sup_sup_set_variable @ A @ B2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(451,plain,
( ( ! [B: set_variable,K: set_variable,B2: set_variable,A: set_variable] :
( ( B
= ( sup_sup_set_variable @ K @ B2 ) )
=> ( ( sup_sup_set_variable @ A @ B )
= ( sup_sup_set_variable @ K @ ( sup_sup_set_variable @ A @ B2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(452,plain,
( ( ! [A: set_variable,B2: set_variable,C2: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A @ B2 ) @ C2 )
= ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ B2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(453,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(454,plain,
( ( sup_sup_set_variable
= ( ^ [A3: set_variable,B4: set_variable] : ( sup_sup_set_variable @ B4 @ A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(455,plain,
( ( sup_sup_set_variable
= ( ^ [X2: set_variable,Y3: set_variable] : ( sup_sup_set_variable @ Y3 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(456,plain,
( ( ! [B2: set_variable,A: set_variable,C2: set_variable] :
( ( sup_sup_set_variable @ B2 @ ( sup_sup_set_variable @ A @ C2 ) )
= ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ B2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(457,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) )
= ( sup_sup_set_variable @ Y @ ( sup_sup_set_variable @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(458,plain,
( ( ! [A: variable,B2: variable,A2: set_variable] :
( ( member_variable @ A @ ( insert_variable @ B2 @ A2 ) )
=> ( ( A != B2 )
=> ( member_variable @ A @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(459,plain,
( ( ! [A: variable,B: set_variable] : ( member_variable @ A @ ( insert_variable @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(460,plain,
( ( ! [A: variable,B: set_variable,B2: variable] :
( ( member_variable @ A @ B )
=> ( member_variable @ A @ ( insert_variable @ B2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(461,plain,
( ( ! [X: variable,A2: set_variable] :
( ( member_variable @ X @ A2 )
=> ~ ! [B3: set_variable] :
( ( A2
= ( insert_variable @ X @ B3 ) )
=> ( member_variable @ X @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(462,plain,
( ( ! [X: variable,A2: set_variable,B: set_variable] :
( ~ ( member_variable @ X @ A2 )
=> ( ~ ( member_variable @ X @ B )
=> ( ( ( insert_variable @ X @ A2 )
= ( insert_variable @ X @ B ) )
= ( A2 = B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(463,plain,
( ( ! [A: variable,A2: set_variable] :
( ( member_variable @ A @ A2 )
=> ( ( insert_variable @ A @ A2 )
= A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(464,plain,
( ( ! [A: variable,A2: set_variable,B2: variable,B: set_variable] :
( ~ ( member_variable @ A @ A2 )
=> ( ~ ( member_variable @ B2 @ B )
=> ( ( ( insert_variable @ A @ A2 )
= ( insert_variable @ B2 @ B ) )
= ( ( ( A = B2 )
=> ( A2 = B ) )
& ( ( A != B2 )
=> ? [C3: set_variable] :
( ( A2
= ( insert_variable @ B2 @ C3 ) )
& ~ ( member_variable @ B2 @ C3 )
& ( B
= ( insert_variable @ A @ C3 ) )
& ~ ( member_variable @ A @ C3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(465,plain,
( ( ! [X: variable,Y: variable,A2: set_variable] :
( ( insert_variable @ X @ ( insert_variable @ Y @ A2 ) )
= ( insert_variable @ Y @ ( insert_variable @ X @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(466,plain,
( ( ! [A: variable,A2: set_variable] :
( ( member_variable @ A @ A2 )
=> ? [B3: set_variable] :
( ( A2
= ( insert_variable @ A @ B3 ) )
& ~ ( member_variable @ A @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(467,plain,
( ( ! [A: variable] :
~ ( member_variable @ A @ bot_bot_set_variable ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(468,plain,
( ( ! [A2: set_variable,A: variable] :
( ( A2 = bot_bot_set_variable )
=> ~ ( member_variable @ A @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(469,plain,
( ( ! [A2: set_variable] :
( ! [Y2: variable] :
~ ( member_variable @ Y2 @ A2 )
=> ( A2 = bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(470,plain,
( ( ! [A2: set_variable] :
( ( ? [X2: variable] : ( member_variable @ X2 @ A2 ) )
= ( A2 != bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(471,plain,
( ( bot_bot_set_variable
= ( collect_variable @ bot_bot_variable_o ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(472,plain,
( ( ! [A: variable] : ( member_variable @ A @ ( insert_variable @ A @ bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(473,plain,
( ( ! [C2: variable,B: set_variable,A2: set_variable] :
( ( ~ ( member_variable @ C2 @ B )
=> ( member_variable @ C2 @ A2 ) )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(474,plain,
( ( ! [A: set_variable] :
( ( sup_sup_set_variable @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(475,plain,
( ( ! [X: set_variable] :
( ( sup_sup_set_variable @ X @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(476,plain,
( ( ! [A: set_variable,B2: set_variable] :
( ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ A @ B2 ) )
= ( sup_sup_set_variable @ A @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(477,plain,
( ( ! [X: set_variable,Y: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ X @ Y ) )
= ( sup_sup_set_variable @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(478,plain,
( ( ! [A: set_variable,B2: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A @ B2 ) @ B2 )
= ( sup_sup_set_variable @ A @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(479,plain,
( ( ! [A: variable,B: set_variable,B2: variable] :
( ( ~ ( member_variable @ A @ B )
=> ( A = B2 ) )
=> ( member_variable @ A @ ( insert_variable @ B2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(480,plain,
( ( ! [A: variable,B2: variable,A2: set_variable] :
( ( member_variable @ A @ ( insert_variable @ B2 @ A2 ) )
= ( ( A = B2 )
| ( member_variable @ A @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(481,plain,
( ( ! [X: variable,A2: set_variable] :
( ( insert_variable @ X @ ( insert_variable @ X @ A2 ) )
= ( insert_variable @ X @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(482,plain,
( ( ! [C2: variable] :
~ ( member_variable @ C2 @ bot_bot_set_variable ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(483,plain,
( ( ! [A2: set_variable] :
( ( ! [X2: variable] :
~ ( member_variable @ X2 @ A2 ) )
= ( A2 = bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(484,plain,
( ( ! [P: variable > $o] :
( ( ( collect_variable @ P )
= bot_bot_set_variable )
= ( ! [X2: variable] :
~ ( P @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(485,plain,
( ( ! [P: variable > $o] :
( ( bot_bot_set_variable
= ( collect_variable @ P ) )
= ( ! [X2: variable] :
~ ( P @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(486,plain,
( ( ! [A: set_variable] :
( ( sup_sup_set_variable @ A @ bot_bot_set_variable )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(487,plain,
( ( ! [A: set_variable,B2: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ A @ B2 ) )
= ( ( A = bot_bot_set_variable )
& ( B2 = bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(488,plain,
( ( ! [A: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(489,plain,
( ( ! [A: set_variable,B2: set_variable] :
( ( ( sup_sup_set_variable @ A @ B2 )
= bot_bot_set_variable )
= ( ( A = bot_bot_set_variable )
& ( B2 = bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(490,plain,
( ( ! [X: set_variable,Y: set_variable] :
( ( ( sup_sup_set_variable @ X @ Y )
= bot_bot_set_variable )
= ( ( X = bot_bot_set_variable )
& ( Y = bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(491,plain,
( ( ! [X: set_variable,Y: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ X @ Y ) )
= ( ( X = bot_bot_set_variable )
& ( Y = bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(492,plain,
( ( ! [X: set_variable] :
( ( sup_sup_set_variable @ X @ bot_bot_set_variable )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(493,plain,
( ( ! [X: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(494,plain,
( ( ! [A2: set_variable,B: set_variable] :
( ( ( sup_sup_set_variable @ A2 @ B )
= bot_bot_set_variable )
= ( ( A2 = bot_bot_set_variable )
& ( B = bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(495,plain,
( ( ! [A2: set_variable,A: variable,B: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( insert_variable @ A @ B ) )
= ( insert_variable @ A @ ( sup_sup_set_variable @ A2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(496,plain,
( ( ! [A: variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ ( insert_variable @ A @ B ) @ C )
= ( insert_variable @ A @ ( sup_sup_set_variable @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(497,plain,
( ( ! [Nu: variable > real,Nu2: variable > real] :
( ( denota1419872369iation @ Nu @ Nu2 @ bot_bot_set_variable )
= ( Nu = Nu2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(498,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(499,plain,
( ( ~ ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[359]) ).
thf(500,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(501,plain,
( ( ! [Nu: variable > real,Nu2: variable > real] :
( ( denota1419872369iation @ Nu @ Nu2 @ bot_bot_set_variable )
= ( Nu = Nu2 ) ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(502,plain,
( ( ! [A: variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ ( insert_variable @ A @ B ) @ C )
= ( insert_variable @ A @ ( sup_sup_set_variable @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(503,plain,
( ( ! [A2: set_variable,A: variable,B: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( insert_variable @ A @ B ) )
= ( insert_variable @ A @ ( sup_sup_set_variable @ A2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(504,plain,
( ( ! [A2: set_variable,B: set_variable] :
( ( ( sup_sup_set_variable @ A2 @ B )
= bot_bot_set_variable )
= ( ( A2 = bot_bot_set_variable )
& ( B = bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(505,plain,
( ( ! [X: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(506,plain,
( ( ! [X: set_variable] :
( ( sup_sup_set_variable @ X @ bot_bot_set_variable )
= X ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(507,plain,
( ( ! [X: set_variable,Y: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ X @ Y ) )
= ( ( X = bot_bot_set_variable )
& ( Y = bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(508,plain,
( ( ! [X: set_variable,Y: set_variable] :
( ( ( sup_sup_set_variable @ X @ Y )
= bot_bot_set_variable )
= ( ( X = bot_bot_set_variable )
& ( Y = bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(509,plain,
( ( ! [A: set_variable,B2: set_variable] :
( ( ( sup_sup_set_variable @ A @ B2 )
= bot_bot_set_variable )
= ( ( A = bot_bot_set_variable )
& ( B2 = bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(510,plain,
( ( ! [A: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(511,plain,
( ( ! [A: set_variable,B2: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ A @ B2 ) )
= ( ( A = bot_bot_set_variable )
& ( B2 = bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(512,plain,
( ( ! [A: set_variable] :
( ( sup_sup_set_variable @ A @ bot_bot_set_variable )
= A ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(513,plain,
( ( ! [P: variable > $o] :
( ( bot_bot_set_variable
= ( collect_variable @ P ) )
= ( ! [X2: variable] :
~ ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(514,plain,
( ( ! [P: variable > $o] :
( ( ( collect_variable @ P )
= bot_bot_set_variable )
= ( ! [X2: variable] :
~ ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(515,plain,
( ( ! [A2: set_variable] :
( ( ! [X2: variable] :
~ ( member_variable @ X2 @ A2 ) )
= ( A2 = bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(516,plain,
( ( ! [C2: variable] :
~ ( member_variable @ C2 @ bot_bot_set_variable ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(517,plain,
( ( ! [X: variable,A2: set_variable] :
( ( insert_variable @ X @ ( insert_variable @ X @ A2 ) )
= ( insert_variable @ X @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(518,plain,
( ( ! [A: variable,B2: variable,A2: set_variable] :
( ( member_variable @ A @ ( insert_variable @ B2 @ A2 ) )
= ( ( A = B2 )
| ( member_variable @ A @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(519,plain,
( ( ! [A: variable,B: set_variable,B2: variable] :
( ( ~ ( member_variable @ A @ B )
=> ( A = B2 ) )
=> ( member_variable @ A @ ( insert_variable @ B2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(520,plain,
( ( ! [A: set_variable,B2: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A @ B2 ) @ B2 )
= ( sup_sup_set_variable @ A @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(521,plain,
( ( ! [X: set_variable,Y: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ X @ Y ) )
= ( sup_sup_set_variable @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(522,plain,
( ( ! [A: set_variable,B2: set_variable] :
( ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ A @ B2 ) )
= ( sup_sup_set_variable @ A @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(523,plain,
( ( ! [X: set_variable] :
( ( sup_sup_set_variable @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(524,plain,
( ( ! [A: set_variable] :
( ( sup_sup_set_variable @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(525,plain,
( ( ! [C2: variable,B: set_variable,A2: set_variable] :
( ( ~ ( member_variable @ C2 @ B )
=> ( member_variable @ C2 @ A2 ) )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(526,plain,
( ( ! [A: variable] : ( member_variable @ A @ ( insert_variable @ A @ bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(527,plain,
( ( bot_bot_set_variable
= ( collect_variable @ bot_bot_variable_o ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(528,plain,
( ( ! [A2: set_variable] :
( ( ? [X2: variable] : ( member_variable @ X2 @ A2 ) )
= ( A2 != bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(529,plain,
( ( ! [A2: set_variable] :
( ! [Y2: variable] :
~ ( member_variable @ Y2 @ A2 )
=> ( A2 = bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(530,plain,
( ( ! [A2: set_variable,A: variable] :
( ( A2 = bot_bot_set_variable )
=> ~ ( member_variable @ A @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(531,plain,
( ( ! [A: variable] :
~ ( member_variable @ A @ bot_bot_set_variable ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(532,plain,
( ( ! [A: variable,A2: set_variable] :
( ( member_variable @ A @ A2 )
=> ? [B3: set_variable] :
( ( A2
= ( insert_variable @ A @ B3 ) )
& ~ ( member_variable @ A @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(533,plain,
( ( ! [X: variable,Y: variable,A2: set_variable] :
( ( insert_variable @ X @ ( insert_variable @ Y @ A2 ) )
= ( insert_variable @ Y @ ( insert_variable @ X @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(534,plain,
( ( ! [A: variable,A2: set_variable,B2: variable,B: set_variable] :
( ~ ( member_variable @ A @ A2 )
=> ( ~ ( member_variable @ B2 @ B )
=> ( ( ( insert_variable @ A @ A2 )
= ( insert_variable @ B2 @ B ) )
= ( ( ( A = B2 )
=> ( A2 = B ) )
& ( ( A != B2 )
=> ? [C3: set_variable] :
( ( A2
= ( insert_variable @ B2 @ C3 ) )
& ~ ( member_variable @ B2 @ C3 )
& ( B
= ( insert_variable @ A @ C3 ) )
& ~ ( member_variable @ A @ C3 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(535,plain,
( ( ! [A: variable,A2: set_variable] :
( ( member_variable @ A @ A2 )
=> ( ( insert_variable @ A @ A2 )
= A2 ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(536,plain,
( ( ! [X: variable,A2: set_variable,B: set_variable] :
( ~ ( member_variable @ X @ A2 )
=> ( ~ ( member_variable @ X @ B )
=> ( ( ( insert_variable @ X @ A2 )
= ( insert_variable @ X @ B ) )
= ( A2 = B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(537,plain,
( ( ! [X: variable,A2: set_variable] :
( ( member_variable @ X @ A2 )
=> ~ ! [B3: set_variable] :
( ( A2
= ( insert_variable @ X @ B3 ) )
=> ( member_variable @ X @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(538,plain,
( ( ! [A: variable,B: set_variable,B2: variable] :
( ( member_variable @ A @ B )
=> ( member_variable @ A @ ( insert_variable @ B2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(539,plain,
( ( ! [A: variable,B: set_variable] : ( member_variable @ A @ ( insert_variable @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(540,plain,
( ( ! [A: variable,B2: variable,A2: set_variable] :
( ( member_variable @ A @ ( insert_variable @ B2 @ A2 ) )
=> ( ( A != B2 )
=> ( member_variable @ A @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(541,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) )
= ( sup_sup_set_variable @ Y @ ( sup_sup_set_variable @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(542,plain,
( ( ! [B2: set_variable,A: set_variable,C2: set_variable] :
( ( sup_sup_set_variable @ B2 @ ( sup_sup_set_variable @ A @ C2 ) )
= ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ B2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(543,plain,
( ( sup_sup_set_variable
= ( ^ [X2: set_variable,Y3: set_variable] : ( sup_sup_set_variable @ Y3 @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(544,plain,
( ( sup_sup_set_variable
= ( ^ [A3: set_variable,B4: set_variable] : ( sup_sup_set_variable @ B4 @ A3 ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(545,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(546,plain,
( ( ! [A: set_variable,B2: set_variable,C2: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A @ B2 ) @ C2 )
= ( sup_sup_set_variable @ A @ ( sup_sup_set_variable @ B2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(547,plain,
( ( ! [B: set_variable,K: set_variable,B2: set_variable,A: set_variable] :
( ( B
= ( sup_sup_set_variable @ K @ B2 ) )
=> ( ( sup_sup_set_variable @ A @ B )
= ( sup_sup_set_variable @ K @ ( sup_sup_set_variable @ A @ B2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(548,plain,
( ( ! [A2: set_variable,K: set_variable,A: set_variable,B2: set_variable] :
( ( A2
= ( sup_sup_set_variable @ K @ A ) )
=> ( ( sup_sup_set_variable @ A2 @ B2 )
= ( sup_sup_set_variable @ K @ ( sup_sup_set_variable @ A @ B2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(549,plain,
( ( sup_sup_set_variable
= ( ^ [X2: set_variable,Y3: set_variable] : ( sup_sup_set_variable @ Y3 @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(550,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(551,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ Y @ Z ) )
= ( sup_sup_set_variable @ Y @ ( sup_sup_set_variable @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(552,plain,
( ( ! [X: set_variable,Y: set_variable] :
( ( sup_sup_set_variable @ X @ ( sup_sup_set_variable @ X @ Y ) )
= ( sup_sup_set_variable @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(553,plain,
( ( ! [A2: set_variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ B @ C ) )
= ( sup_sup_set_variable @ B @ ( sup_sup_set_variable @ A2 @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(554,plain,
( ( ! [A2: set_variable,B: set_variable] :
( ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ A2 @ B ) )
= ( sup_sup_set_variable @ A2 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(555,plain,
( ( sup_sup_set_variable
= ( ^ [A4: set_variable,B5: set_variable] : ( sup_sup_set_variable @ B5 @ A4 ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(556,plain,
( ( ! [A2: set_variable] :
( ( sup_sup_set_variable @ A2 @ A2 )
= A2 ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(557,plain,
( ( ! [A2: set_variable,B: set_variable,C: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ A2 @ B ) @ C )
= ( sup_sup_set_variable @ A2 @ ( sup_sup_set_variable @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(558,plain,
( ( ! [A2: set_variable,B: set_variable,P: variable > $o] :
( ( ! [X2: variable] :
( ( member_variable @ X2 @ ( sup_sup_set_variable @ A2 @ B ) )
=> ( P @ X2 ) ) )
= ( ! [X2: variable] :
( ( member_variable @ X2 @ A2 )
=> ( P @ X2 ) )
& ! [X2: variable] :
( ( member_variable @ X2 @ B )
=> ( P @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(559,plain,
( ( ! [A2: set_variable,B: set_variable,P: variable > $o] :
( ( ? [X2: variable] :
( ( member_variable @ X2 @ ( sup_sup_set_variable @ A2 @ B ) )
& ( P @ X2 ) ) )
= ( ? [X2: variable] :
( ( member_variable @ X2 @ A2 )
& ( P @ X2 ) )
| ? [X2: variable] :
( ( member_variable @ X2 @ B )
& ( P @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(560,plain,
( ( ! [C2: variable,B: set_variable,A2: set_variable] :
( ( member_variable @ C2 @ B )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(561,plain,
( ( ! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ A2 )
=> ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(562,plain,
( ( ! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) )
=> ( ~ ( member_variable @ C2 @ A2 )
=> ( member_variable @ C2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(563,plain,
( ( ! [Omega: variable > real,Nu: variable > real,U: set_variable] :
( ( denota1419872369iation @ Omega @ Nu @ U )
=> ( denota1419872369iation @ Nu @ Omega @ U ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(564,plain,
( ( ! [Nu: variable > real,V: set_variable] : ( denota1419872369iation @ Nu @ Nu @ V ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(565,plain,
( ( denota1419872369iation
= ( ^ [Omega2: variable > real,Nu3: variable > real] : ( denota1419872369iation @ Nu3 @ Omega2 ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(566,plain,
( ( denota1419872369iation
= ( ^ [Nu3: variable > real,Nu4: variable > real,U2: set_variable] :
! [I: variable] :
( ~ ( member_variable @ I @ U2 )
=> ( ( Nu3 @ I )
= ( Nu4 @ I ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(567,plain,
( ( ! [A: variable,B2: variable] :
( ( ( insert_variable @ A @ bot_bot_set_variable )
= ( insert_variable @ B2 @ bot_bot_set_variable ) )
=> ( A = B2 ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(568,plain,
( ( ! [A: variable,A2: set_variable] :
( ( insert_variable @ A @ A2 )
!= bot_bot_set_variable ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(569,plain,
( ( ! [A: variable,B2: variable,C2: variable,D: variable] :
( ( ( insert_variable @ A @ ( insert_variable @ B2 @ bot_bot_set_variable ) )
= ( insert_variable @ C2 @ ( insert_variable @ D @ bot_bot_set_variable ) ) )
= ( ( ( A = C2 )
& ( B2 = D ) )
| ( ( A = D )
& ( B2 = C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(570,plain,
( ( ! [B2: variable,A: variable] :
( ( member_variable @ B2 @ ( insert_variable @ A @ bot_bot_set_variable ) )
= ( B2 = A ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(571,plain,
( ( ! [B2: variable,A: variable] :
( ( member_variable @ B2 @ ( insert_variable @ A @ bot_bot_set_variable ) )
=> ( B2 = A ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(572,plain,
( ( ! [A2: set_variable] :
( ( sup_sup_set_variable @ A2 @ bot_bot_set_variable )
= A2 ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(573,plain,
( ( ! [B: set_variable] :
( ( sup_sup_set_variable @ bot_bot_set_variable @ B )
= B ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(574,plain,
( ( ! [Omega: variable > real,Nu: variable > real,U: set_variable,Mu: variable > real,V: set_variable] :
( ( denota1419872369iation @ Omega @ Nu @ U )
=> ( ( denota1419872369iation @ Nu @ Mu @ V )
=> ( denota1419872369iation @ Omega @ Mu @ ( sup_sup_set_variable @ U @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(575,plain,
( ( ! [X: variable,A2: set_variable,B: set_variable] :
( ( ( insert_variable @ X @ bot_bot_set_variable )
= ( sup_sup_set_variable @ A2 @ B ) )
= ( ( ( A2 = bot_bot_set_variable )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B = bot_bot_set_variable ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(576,plain,
( ( ! [A2: set_variable,B: set_variable,X: variable] :
( ( ( sup_sup_set_variable @ A2 @ B )
= ( insert_variable @ X @ bot_bot_set_variable ) )
= ( ( ( A2 = bot_bot_set_variable )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B = bot_bot_set_variable ) )
| ( ( A2
= ( insert_variable @ X @ bot_bot_set_variable ) )
& ( B
= ( insert_variable @ X @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(577,plain,
( ( insert_variable
= ( ^ [A3: variable] : ( sup_sup_set_variable @ ( insert_variable @ A3 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(578,plain,
( ( ~ ! [Rr: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real] :
~ ! [X0: trm,X1: denotational_interp,X22: trm,X3: denotational_interp,X4: char,X5: real > variable > real] :
( ( ? [V6: variable > real] :
( ( denota1419872369iation @ V6 @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ V6 )
!= ( denota1863255036rm_sem @ X1 @ X0 @ V6 ) ) ) )
= ( ( denota1419872369iation @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) )
!= ( denota1863255036rm_sem @ X1 @ X0 @ ( Rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(579,plain,
( ( ! [F: real > variable > real,Omega: variable > real,U: set_variable,I2: denotational_interp,X: char,Theta: trm,Zeta: real] :
( ( denota1419872369iation @ ( F @ zero_zero_real ) @ Omega @ U )
=> ( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
=> ( denota1419872369iation @ ( F @ Zeta ) @ Omega @ ( sup_sup_set_variable @ U @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(580,plain,
( ( ! [X0: trm,X1: denotational_interp,X22: trm,X3: denotational_interp,X4: char,X5: real > variable > real] :
( ( ? [V6: variable > real] :
( ( denota1419872369iation @ V6 @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ V6 )
!= ( denota1863255036rm_sem @ X1 @ X0 @ V6 ) ) ) )
= ( ( denota1419872369iation @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) @ ( X5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X4 ) @ ( insert_variable @ ( dVar @ X4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ X3 @ X22 @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) )
!= ( denota1863255036rm_sem @ X1 @ X0 @ ( rr @ X0 @ X1 @ X22 @ X3 @ X4 @ X5 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(581,plain,
( ( ! [X12: char,Y1: char] :
( ( ( rVar @ X12 )
= ( rVar @ Y1 ) )
= ( X12 = Y1 ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(582,plain,
( ( zero_zero_set_real
= ( insert_real @ zero_zero_real @ bot_bot_set_real ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(583,plain,
( ( ! [X23: char,Y22: char] :
( ( ( dVar @ X23 )
= ( dVar @ Y22 ) )
= ( X23 = Y22 ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(584,plain,
( ( ! [C2: variable,A2: set_variable,B: set_variable] :
( ( member_variable @ C2 @ ( sup_sup_set_variable @ A2 @ B ) )
= ( ( member_variable @ C2 @ A2 )
| ( member_variable @ C2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(585,plain,
( ( ! [A: variable,B: set_variable,P: variable > $o] :
( ( ! [X2: variable] :
( ( member_variable @ X2 @ ( insert_variable @ A @ B ) )
=> ( P @ X2 ) ) )
= ( ( P @ A )
& ! [X2: variable] :
( ( member_variable @ X2 @ B )
=> ( P @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(586,plain,
( ( ! [X: variable] :
( ( the_elem_variable @ ( insert_variable @ X @ bot_bot_set_variable ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(587,plain,
( ( ! [F2: real > variable > real,C4: char,I3: denotational_interp,T: trm,Ia: denotational_interp,Ta: trm] :
( ( ( denota1419872369iation @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) @ ( F2 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ C4 ) @ ( insert_variable @ ( dVar @ C4 ) @ bot_bot_set_variable ) ) )
& ( ( denota1863255036rm_sem @ I3 @ T @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) )
!= ( denota1863255036rm_sem @ Ia @ Ta @ ( rr @ Ta @ Ia @ T @ I3 @ C4 @ F2 ) ) ) )
| ( ( denota1778088425es_ODE @ I3 @ F2 @ C4 @ T )
= ( denota1778088425es_ODE @ Ia @ F2 @ C4 @ Ta ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(588,plain,
( ( ! [X: real] :
( ( zero_zero_real = X )
= ( X = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(589,plain,
( ( ! [X: variable,A2: set_variable,B: set_variable] :
( ( ~ ( member_variable @ X @ ( sup_sup_set_variable @ A2 @ B ) ) )
= ( ~ ( member_variable @ X @ A2 )
& ~ ( member_variable @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(590,plain,
( ( ! [F: real > variable > real,X: char,I2: denotational_interp,Theta: trm,J: denotational_interp,Eta: trm] :
( ! [Nu5: variable > real] :
( ( denota1419872369iation @ Nu5 @ ( F @ zero_zero_real ) @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) )
=> ( ( denota1863255036rm_sem @ I2 @ Theta @ Nu5 )
= ( denota1863255036rm_sem @ J @ Eta @ Nu5 ) ) )
=> ( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
= ( denota1778088425es_ODE @ J @ F @ X @ Eta ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(591,plain,
( ( ! [X12: char,X23: char] :
( ( rVar @ X12 )
!= ( dVar @ X23 ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(592,plain,
( ( ! [P: variable > $o,Variable: variable] :
( ! [X6: char] : ( P @ ( rVar @ X6 ) )
=> ( ! [X6: char] : ( P @ ( dVar @ X6 ) )
=> ( P @ Variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(593,plain,
( ( ! [Y: variable] :
( ! [X13: char] :
( Y
!= ( rVar @ X13 ) )
=> ~ ! [X24: char] :
( Y
!= ( dVar @ X24 ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(594,plain,
( ( bot_bot_variable_o
= ( ^ [X2: variable] : ( member_variable @ X2 @ bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(595,plain,
( ( ! [P: variable > $o] :
( ( ( collect_variable @ P )
= bot_bot_set_variable )
= ( P = bot_bot_variable_o ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(596,plain,
( ( is_sin155454833riable
= ( ^ [A4: set_variable] :
( A4
= ( insert_variable @ ( the_elem_variable @ A4 ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(597,plain,
( ( ! [X: variable] : ( is_sin155454833riable @ ( insert_variable @ X @ bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(598,plain,
( ( ! [A2: set_variable] :
( ( A2 != bot_bot_set_variable )
=> ( ! [X6: variable,Y2: variable] :
( ( member_variable @ X6 @ A2 )
=> ( ( member_variable @ Y2 @ A2 )
=> ( X6 = Y2 ) ) )
=> ( is_sin155454833riable @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(599,plain,
( ( is_sin155454833riable
= ( ^ [A4: set_variable] :
? [X2: variable] :
( A4
= ( insert_variable @ X2 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(600,plain,
( ( ! [A2: set_variable] :
( ( is_sin155454833riable @ A2 )
=> ~ ! [X6: variable] :
( A2
!= ( insert_variable @ X6 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(601,plain,
( ( ! [X12: char] :
( ( size_variable @ ( rVar @ X12 ) )
= zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(602,plain,
( ( ! [X23: char] :
( ( size_variable @ ( dVar @ X23 ) )
= zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(603,plain,
( ( ! [X12: char] :
( ( size_size_variable @ ( rVar @ X12 ) )
= zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(604,plain,
( ( ! [X23: char] :
( ( size_size_variable @ ( dVar @ X23 ) )
= zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(605,plain,
( ( is_empty_variable
= ( ^ [A4: set_variable] : ( A4 = bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(606,plain,
( ( ! [Omega: variable > real,X: variable,D: real] : ( denota1419872369iation @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( insert_variable @ X @ bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(607,plain,
( ( ( these_variable @ bot_bo266290559riable )
= bot_bot_set_variable )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(608,plain,
( ( ! [X: variable,A2: set_option_variable] :
( ( these_variable @ ( insert1340772453riable @ ( some_variable @ X ) @ A2 ) )
= ( insert_variable @ X @ ( these_variable @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(609,plain,
( ( ! [X: variable,Y: variable,Omega: variable > real,D: real,X7: set_variable_real] :
( ( X != Y )
=> ( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ X7 )
= ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ Y @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(610,plain,
( ( ! [X: variable,Y: variable,Omega: variable > real,D: real,X7: set_variable_real] :
( ( X != Y )
=> ( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ Y @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ X7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(611,plain,
( ( ! [Omega: variable > real,X: variable,D: real,X7: set_variable_real] :
( ( member_variable_real @ ( denotational_repv @ Omega @ X @ D ) @ ( static_selectlike @ X7 @ Omega @ ( insert_variable @ X @ bot_bot_set_variable ) ) )
= ( ( D
= ( Omega @ X ) )
& ( member_variable_real @ Omega @ X7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(612,plain,
( ( ! [X7: set_variable_real,Nu: variable > real] :
( ( static_selectlike @ X7 @ Nu @ bot_bot_set_variable )
= X7 ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(613,plain,
( ( ! [X7: set_variable_real,Nu: variable > real,V: set_variable,W: set_variable] :
( ( static_selectlike @ ( static_selectlike @ X7 @ Nu @ V ) @ Nu @ W )
= ( static_selectlike @ X7 @ Nu @ ( sup_sup_set_variable @ V @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(614,plain,
( ( ! [X23: variable] :
( ( set_option_variable2 @ ( some_variable @ X23 ) )
= ( insert_variable @ X23 @ bot_bot_set_variable ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(615,plain,
( ( ! [Omega: variable > real,X: variable,D: real] :
( ( denotational_Vagree @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( insert_variable @ X @ bot_bot_set_variable ) )
= ( D
= ( Omega @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(616,plain,
( ( ! [Nu: variable > real,Nu2: variable > real,V: set_variable,W: set_variable] :
( ( ( denotational_Vagree @ Nu @ Nu2 @ V )
& ( denotational_Vagree @ Nu @ Nu2 @ W ) )
= ( denotational_Vagree @ Nu @ Nu2 @ ( sup_sup_set_variable @ V @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(617,plain,
( ( ! [Xo: option_variable] :
( ( ( set_option_variable2 @ Xo )
= bot_bot_set_variable )
= ( Xo = none_variable ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(618,plain,
( ( ! [Nu: variable > real,Nu2: variable > real,V: set_variable,W: set_variable] :
( ( denotational_Vagree @ Nu @ Nu2 @ V )
=> ( ( denotational_Vagree @ Nu @ Nu2 @ W )
=> ( denotational_Vagree @ Nu @ Nu2 @ ( sup_sup_set_variable @ V @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(619,plain,
( ( ! [Nu: variable > real,Nu2: variable > real] : ( denotational_Vagree @ Nu @ Nu2 @ bot_bot_set_variable ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(620,plain,
( ( ( set_option_variable2 @ none_variable )
= bot_bot_set_variable )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(621,plain,
( ( ! [I2: denotational_interp,F: real > variable > real,X: char,Theta: trm,Zeta: real] :
( ( denota1778088425es_ODE @ I2 @ F @ X @ Theta )
=> ( denotational_Vagree @ ( F @ Zeta ) @ ( F @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ X ) @ ( insert_variable @ ( dVar @ X ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(622,plain,
( ( ! [Omega: variable > real,X: variable,D: real] : ( denotational_Vagree @ Omega @ ( denotational_repv @ Omega @ X @ D ) @ ( uminus1851247844riable @ ( insert_variable @ X @ bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(623,plain,
( ( ( uminus_uminus_real @ zero_zero_real )
= zero_zero_real )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(624,plain,
( ( ! [A: real] :
( ( zero_zero_real
= ( uminus_uminus_real @ A ) )
= ( zero_zero_real = A ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(625,plain,
( ( ! [A: real] :
( ( ( uminus_uminus_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(626,plain,
( ( ! [A: real] :
( ( A
= ( uminus_uminus_real @ A ) )
= ( A = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(627,plain,
( ( ! [A: real] :
( ( ( uminus_uminus_real @ A )
= A )
= ( A = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(628,plain,
( ( ! [Nu: variable > real,Nu2: variable > real,V: set_variable] :
( ( denota1419872369iation @ Nu @ Nu2 @ ( uminus1851247844riable @ V ) )
= ( denotational_Vagree @ Nu @ Nu2 @ V ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(629,plain,
( ( ! [Nu: variable > real,V: set_variable,X7: set_variable_real,Y4: set_variable_real] :
( ! [Mu2: variable > real] :
( ( denota1419872369iation @ Mu2 @ Nu @ V )
=> ( ( member_variable_real @ Mu2 @ X7 )
= ( member_variable_real @ Mu2 @ Y4 ) ) )
=> ( ( static_selectlike @ X7 @ Nu @ ( uminus1851247844riable @ V ) )
= ( static_selectlike @ Y4 @ Nu @ ( uminus1851247844riable @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(630,plain,
( ( ! [Nu: variable > real,V: set_variable,X7: set_variable_real,Y4: set_variable_real] :
( ! [Mu2: variable > real] :
( ( denota1419872369iation @ Mu2 @ Nu @ ( uminus1851247844riable @ V ) )
=> ( ( member_variable_real @ Mu2 @ X7 )
= ( member_variable_real @ Mu2 @ Y4 ) ) )
=> ( ( static_selectlike @ X7 @ Nu @ V )
= ( static_selectlike @ Y4 @ Nu @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(631,plain,
( ( ! [X7: set_variable_real,Nu: variable > real,V: set_variable,Y4: set_variable_real] :
( ( ( static_selectlike @ X7 @ Nu @ ( uminus1851247844riable @ V ) )
= ( static_selectlike @ Y4 @ Nu @ ( uminus1851247844riable @ V ) ) )
= ( ! [Mu3: variable > real] :
( ( denota1419872369iation @ Mu3 @ Nu @ V )
=> ( ( member_variable_real @ Mu3 @ X7 )
= ( member_variable_real @ Mu3 @ Y4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(632,plain,
( ( ! [X7: set_variable_real,Nu: variable > real,V: set_variable,Y4: set_variable_real] :
( ( ( static_selectlike @ X7 @ Nu @ V )
= ( static_selectlike @ Y4 @ Nu @ V ) )
= ( ! [Mu3: variable > real] :
( ( denota1419872369iation @ Mu3 @ Nu @ ( uminus1851247844riable @ V ) )
=> ( ( member_variable_real @ Mu3 @ X7 )
= ( member_variable_real @ Mu3 @ Y4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(633,plain,
( ( ! [V4: variable > real,W2: variable > real,S: set_variable,Z: variable] : ( denotational_Vagree @ ( stateinterpol @ V4 @ W2 @ S ) @ ( stateinterpol @ V4 @ W2 @ ( insert_variable @ Z @ S ) ) @ ( uminus1851247844riable @ ( insert_variable @ Z @ bot_bot_set_variable ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(634,plain,
( ( ! [Nu: variable > real,Omega: variable > real] :
( ( stateinterpol @ Nu @ Omega @ bot_bot_set_variable )
= Omega ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(635,plain,
( ( ! [Omega: variable > real,Omega3: variable > real,U: set_variable,Theta: trm,I2: denotational_interp] :
( ( denota1419872369iation @ Omega @ Omega3 @ U )
=> ( ( ( inf_inf_set_variable @ ( static_FVT @ Theta ) @ U )
= bot_bot_set_variable )
=> ( ( denota1863255036rm_sem @ I2 @ Theta @ Omega )
= ( denota1863255036rm_sem @ I2 @ Theta @ Omega3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(636,plain,
( ( ! [X: set_variable,Y: set_variable,Z: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ X @ Y ) @ Z )
= ( ( ord_le282106107riable @ X @ Z )
& ( ord_le282106107riable @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(637,plain,
( ( ! [B2: set_variable,C2: set_variable,A: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ B2 @ C2 ) @ A )
= ( ( ord_le282106107riable @ B2 @ A )
& ( ord_le282106107riable @ C2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(638,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(639,plain,
( ( ~ ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(640,plain,
( ( ! [SX0: denotational_interp,SX1: real > variable > real,SX2: char,SX3: trm,SX4: real] :
( ~ ( denota1778088425es_ODE @ SX0 @ SX1 @ SX2 @ SX3 )
| ( denotational_Vagree @ ( SX1 @ SX4 ) @ ( SX1 @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ SX2 ) @ ( insert_variable @ ( dVar @ SX2 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[621]) ).
thf(641,plain,
( ( ! [SX0: set_variable] :
( ~ ( ( SX0 != bot_bot_set_variable ) )
| ~ ! [SX1: variable,SX2: variable] :
( ~ ( member_variable @ SX1 @ SX0 )
| ~ ( member_variable @ SX2 @ SX0 )
| ( SX1 = SX2 ) )
| ( is_sin155454833riable @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[598]) ).
thf(642,plain,
( ( ! [SX0: variable > real,SX1: variable,SX2: real,SX3: set_variable_real] :
( ( member_variable_real @ ( denotational_repv @ SX0 @ SX1 @ SX2 ) @ ( static_selectlike @ SX3 @ SX0 @ ( insert_variable @ SX1 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SX2
!= ( SX0 @ SX1 ) )
| ~ ( member_variable_real @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[611]) ).
thf(643,plain,
( ( ! [SX0: variable > real,SX1: set_variable,SX2: set_variable_real,SX3: set_variable_real] :
( ~ ! [SX4: variable > real] :
( ~ ( denota1419872369iation @ SX4 @ SX0 @ ( uminus1851247844riable @ SX1 ) )
| ( ( member_variable_real @ SX4 @ SX2 )
= ( member_variable_real @ SX4 @ SX3 ) ) )
| ( ( static_selectlike @ SX2 @ SX0 @ SX1 )
= ( static_selectlike @ SX3 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[630]) ).
thf(644,plain,
( ( ! [SX0: variable > real,SX1: variable > real,SX2: set_variable,SX3: set_variable] :
( ~ ( denotational_Vagree @ SX0 @ SX1 @ SX2 )
| ~ ( denotational_Vagree @ SX0 @ SX1 @ SX3 )
| ( denotational_Vagree @ SX0 @ SX1 @ ( sup_sup_set_variable @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[618]) ).
thf(645,plain,
( ( ! [SX0: set_variable_real,SX1: variable > real,SX2: set_variable,SX3: set_variable_real] :
( ( ( static_selectlike @ SX0 @ SX1 @ SX2 )
= ( static_selectlike @ SX3 @ SX1 @ SX2 ) )
= ( ! [SX4: variable > real] :
( ~ ( denota1419872369iation @ SX4 @ SX1 @ ( uminus1851247844riable @ SX2 ) )
| ( ( member_variable_real @ SX4 @ SX0 )
= ( member_variable_real @ SX4 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[632]) ).
thf(646,plain,
( ( ! [SX0: variable,SX1: variable] :
( ~ ( member_variable @ SX0 @ ( insert_variable @ SX1 @ bot_bot_set_variable ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[571]) ).
thf(647,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: set_variable] :
( ~ ( ~ ~ ( member_variable @ SX0 @ SX1 )
| ( member_variable @ SX0 @ SX2 ) )
| ( member_variable @ SX0 @ ( sup_sup_set_variable @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[525]) ).
thf(648,plain,
( ( ! [SX0: set_variable,SX1: set_variable] :
( ( ( sup_sup_set_variable @ SX0 @ SX1 )
= bot_bot_set_variable )
= ( ~ ( ( SX0 != bot_bot_set_variable )
| ( SX1 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[504]) ).
thf(649,plain,
( ( ! [SX0: set_variable] :
( ( ~ ! [SX1: variable] :
~ ( member_variable @ SX1 @ SX0 ) )
= ( SX0 != bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[528]) ).
thf(650,plain,
( ( ! [SX0: set_variable,SX1: set_variable] :
( ( ( sup_sup_set_variable @ SX0 @ SX1 )
= bot_bot_set_variable )
= ( ~ ( ( SX0 != bot_bot_set_variable )
| ( SX1 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(651,plain,
( ( ! [SX0: variable,SX1: set_variable] :
( ~ ( member_variable @ SX0 @ SX1 )
| ~ ! [SX2: set_variable] :
( ( SX1
!= ( insert_variable @ SX0 @ SX2 ) )
| ( member_variable @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[537]) ).
thf(652,plain,
( ( ! [SX0: variable,SX1: set_variable] :
( ~ ( member_variable @ SX0 @ SX1 )
| ~ ! [SX2: set_variable] :
~ ~ ( ( SX1
!= ( insert_variable @ SX0 @ SX2 ) )
| ~ ~ ( member_variable @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[532]) ).
thf(653,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: set_variable] :
( ( ~ ( member_variable @ SX0 @ ( sup_sup_set_variable @ SX1 @ SX2 ) ) )
= ( ~ ( ~ ~ ( member_variable @ SX0 @ SX1 )
| ~ ~ ( member_variable @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[589]) ).
thf(654,plain,
( ( ! [SX0: set_variable_real,SX1: variable > real,SX2: set_variable,SX3: set_variable_real] :
( ( ( static_selectlike @ SX0 @ SX1 @ ( uminus1851247844riable @ SX2 ) )
= ( static_selectlike @ SX3 @ SX1 @ ( uminus1851247844riable @ SX2 ) ) )
= ( ! [SX4: variable > real] :
( ~ ( denota1419872369iation @ SX4 @ SX1 @ SX2 )
| ( ( member_variable_real @ SX4 @ SX0 )
= ( member_variable_real @ SX4 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[631]) ).
thf(655,plain,
( ( ! [SX0: set_variable,SX1: set_variable,SX2: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( ord_le282106107riable @ SX0 @ SX2 )
| ~ ( ord_le282106107riable @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[636]) ).
thf(656,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: variable] :
( ~ ( member_variable @ SX0 @ SX1 )
| ( member_variable @ SX0 @ ( insert_variable @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[538]) ).
thf(657,plain,
( ( ! [SX0: set_variable,SX1: set_variable,SX2: set_variable,SX3: set_variable] :
( ( SX0
!= ( sup_sup_set_variable @ SX1 @ SX2 ) )
| ( ( sup_sup_set_variable @ SX3 @ SX0 )
= ( sup_sup_set_variable @ SX1 @ ( sup_sup_set_variable @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[547]) ).
thf(658,plain,
( ( ! [SX0: set_variable,SX1: variable] :
( ( SX0 != bot_bot_set_variable )
| ~ ( member_variable @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[530]) ).
thf(659,plain,
( ( is_sin155454833riable
= ( ^ [SX0: set_variable] :
~ ! [SX1: variable] :
( SX0
!= ( insert_variable @ SX1 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[599]) ).
thf(660,plain,
( ( ! [SX0: set_variable,SX1: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SX0 @ SX1 ) )
= ( ~ ( ( SX0 != bot_bot_set_variable )
| ( SX1 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(661,plain,
( ( ! [SX0: set_variable,SX1: set_variable] :
( ( ( sup_sup_set_variable @ SX0 @ SX1 )
= bot_bot_set_variable )
= ( ~ ( ( SX0 != bot_bot_set_variable )
| ( SX1 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(662,plain,
( ( ! [SX0: real > variable > real,SX1: char,SX2: denotational_interp,SX3: trm,SX4: denotational_interp,SX5: trm] :
( ~ ! [SX6: variable > real] :
( ~ ( denota1419872369iation @ SX6 @ ( SX0 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SX1 ) @ ( insert_variable @ ( dVar @ SX1 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SX2 @ SX3 @ SX6 )
= ( denota1863255036rm_sem @ SX4 @ SX5 @ SX6 ) ) )
| ( ( denota1778088425es_ODE @ SX2 @ SX0 @ SX1 @ SX3 )
= ( denota1778088425es_ODE @ SX4 @ SX0 @ SX1 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[590]) ).
thf(663,plain,
( ( ! [SX0: set_variable,SX1: set_variable,SX2: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( ord_le282106107riable @ SX0 @ SX2 )
| ~ ( ord_le282106107riable @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[637]) ).
thf(664,plain,
( ( ! [SX0: variable,SX1: variable,SX2: set_variable] :
( ~ ( member_variable @ SX0 @ ( insert_variable @ SX1 @ SX2 ) )
| ~ ( ( SX0 != SX1 ) )
| ( member_variable @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[540]) ).
thf(665,plain,
( ( ! [SX0: variable] :
( ~ ! [SX1: char] :
( SX0
!= ( rVar @ SX1 ) )
| ~ ! [SX1: char] :
( SX0
!= ( dVar @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[593]) ).
thf(666,plain,
( ( ! [SX0: set_variable] :
( ~ ( is_sin155454833riable @ SX0 )
| ~ ! [SX1: variable] :
( SX0
!= ( insert_variable @ SX1 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[600]) ).
thf(667,plain,
( ( ! [SX0: set_variable,SX1: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SX0 @ SX1 ) )
= ( ~ ( ( SX0 != bot_bot_set_variable )
| ( SX1 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(668,plain,
( ( ! [SX0: real > variable > real,SX1: char,SX2: denotational_interp,SX3: trm,SX4: denotational_interp,SX5: trm] :
( ~ ( ~ ( denota1419872369iation @ ( rr @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( SX0 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SX1 ) @ ( insert_variable @ ( dVar @ SX1 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SX2 @ SX3 @ ( rr @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
!= ( denota1863255036rm_sem @ SX4 @ SX5 @ ( rr @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( ( denota1778088425es_ODE @ SX2 @ SX0 @ SX1 @ SX3 )
= ( denota1778088425es_ODE @ SX4 @ SX0 @ SX1 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(669,plain,
( ( ! [SX0: variable,SX1: variable,SX2: variable,SX3: variable] :
( ( ( insert_variable @ SX0 @ ( insert_variable @ SX1 @ bot_bot_set_variable ) )
= ( insert_variable @ SX2 @ ( insert_variable @ SX3 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ~ ( ( SX0 != SX3 )
| ( SX1 != SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[569]) ).
thf(670,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: variable] :
( ~ ( ~ ~ ( member_variable @ SX0 @ SX1 )
| ( SX0 = SX2 ) )
| ( member_variable @ SX0 @ ( insert_variable @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(671,plain,
( ( ! [SX0: real > variable > real,SX1: variable > real,SX2: set_variable,SX3: denotational_interp,SX4: char,SX5: trm,SX6: real] :
( ~ ( denota1419872369iation @ ( SX0 @ zero_zero_real ) @ SX1 @ SX2 )
| ~ ( denota1778088425es_ODE @ SX3 @ SX0 @ SX4 @ SX5 )
| ( denota1419872369iation @ ( SX0 @ SX6 ) @ SX1 @ ( sup_sup_set_variable @ SX2 @ ( insert_variable @ ( rVar @ SX4 ) @ ( insert_variable @ ( dVar @ SX4 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[579]) ).
thf(672,plain,
( ( ! [SX0: set_variable,SX1: set_variable,SX2: set_variable,SX3: set_variable] :
( ( SX0
!= ( sup_sup_set_variable @ SX1 @ SX2 ) )
| ( ( sup_sup_set_variable @ SX0 @ SX3 )
= ( sup_sup_set_variable @ SX1 @ ( sup_sup_set_variable @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[548]) ).
thf(673,plain,
( ( ! [SX0: variable,SX1: variable] :
( ( ( insert_variable @ SX0 @ bot_bot_set_variable )
!= ( insert_variable @ SX1 @ bot_bot_set_variable ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[567]) ).
thf(674,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: set_variable] :
( ~ ~ ( member_variable @ SX0 @ SX1 )
| ~ ~ ( member_variable @ SX0 @ SX2 )
| ( ( ( insert_variable @ SX0 @ SX1 )
= ( insert_variable @ SX0 @ SX2 ) )
= ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(675,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: set_variable] :
( ( ( insert_variable @ SX0 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SX1 @ SX2 ) )
= ( ~ ( ( SX1 != bot_bot_set_variable )
| ( SX2
!= ( insert_variable @ SX0 @ bot_bot_set_variable ) ) )
| ~ ( ( SX1
!= ( insert_variable @ SX0 @ bot_bot_set_variable ) )
| ( SX2 != bot_bot_set_variable ) )
| ~ ( ( SX1
!= ( insert_variable @ SX0 @ bot_bot_set_variable ) )
| ( SX2
!= ( insert_variable @ SX0 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[575]) ).
thf(676,plain,
( ( ! [SX0: variable,SX1: variable,SX2: variable > real,SX3: real,SX4: set_variable_real] :
( ~ ( ( SX0 != SX1 ) )
| ( ( member_variable_real @ ( denotational_repv @ SX2 @ SX0 @ SX3 ) @ SX4 )
= ( member_variable_real @ ( denotational_repv @ SX2 @ SX0 @ SX3 ) @ ( static_selectlike @ SX4 @ SX2 @ ( insert_variable @ SX1 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(677,plain,
( ( denota1419872369iation
= ( ^ [SX0: variable > real,SX1: variable > real,SX2: set_variable] :
! [SX3: variable] :
( ~ ~ ( member_variable @ SX3 @ SX2 )
| ( ( SX0 @ SX3 )
= ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(678,plain,
( ( ! [SX0: variable > real,SX1: variable > real,SX2: set_variable,SX3: set_variable] :
( ( ~ ( ~ ( denotational_Vagree @ SX0 @ SX1 @ SX2 )
| ~ ( denotational_Vagree @ SX0 @ SX1 @ SX3 ) ) )
= ( denotational_Vagree @ SX0 @ SX1 @ ( sup_sup_set_variable @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[616]) ).
thf(679,plain,
( ( ! [SX0: variable > real,SX1: variable > real,SX2: set_variable,SX3: variable > real,SX4: set_variable] :
( ~ ( denota1419872369iation @ SX0 @ SX1 @ SX2 )
| ~ ( denota1419872369iation @ SX1 @ SX3 @ SX4 )
| ( denota1419872369iation @ SX0 @ SX3 @ ( sup_sup_set_variable @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[574]) ).
thf(680,plain,
( ( ! [SX0: set_variable,SX1: set_variable,SX2: variable] :
( ( ( sup_sup_set_variable @ SX0 @ SX1 )
= ( insert_variable @ SX2 @ bot_bot_set_variable ) )
= ( ~ ( ( SX0 != bot_bot_set_variable )
| ( SX1
!= ( insert_variable @ SX2 @ bot_bot_set_variable ) ) )
| ~ ( ( SX0
!= ( insert_variable @ SX2 @ bot_bot_set_variable ) )
| ( SX1 != bot_bot_set_variable ) )
| ~ ( ( SX0
!= ( insert_variable @ SX2 @ bot_bot_set_variable ) )
| ( SX1
!= ( insert_variable @ SX2 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[576]) ).
thf(681,plain,
( ( ! [SX0: variable > real,SX1: set_variable,SX2: set_variable_real,SX3: set_variable_real] :
( ~ ! [SX4: variable > real] :
( ~ ( denota1419872369iation @ SX4 @ SX0 @ SX1 )
| ( ( member_variable_real @ SX4 @ SX2 )
= ( member_variable_real @ SX4 @ SX3 ) ) )
| ( ( static_selectlike @ SX2 @ SX0 @ ( uminus1851247844riable @ SX1 ) )
= ( static_selectlike @ SX3 @ SX0 @ ( uminus1851247844riable @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[629]) ).
thf(682,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: set_variable] :
( ~ ( member_variable @ SX0 @ SX1 )
| ( member_variable @ SX0 @ ( sup_sup_set_variable @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[561]) ).
thf(683,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: set_variable] :
( ~ ( member_variable @ SX0 @ SX1 )
| ( member_variable @ SX0 @ ( sup_sup_set_variable @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[560]) ).
thf(684,plain,
( ( ! [SX0: variable,SX1: set_variable] :
( ( insert_variable @ SX0 @ SX1 )
!= bot_bot_set_variable ) )
= $true ),
inference(unfold_def,[status(thm)],[568]) ).
thf(685,plain,
( ( ! [SX0: set_variable,SX1: set_variable,SX2: variable > $o] :
( ( ! [SX3: variable] :
( ~ ( member_variable @ SX3 @ ( sup_sup_set_variable @ SX0 @ SX1 ) )
| ( SX2 @ SX3 ) ) )
= ( ~ ( ~ ! [SX3: variable] :
( ~ ( member_variable @ SX3 @ SX0 )
| ( SX2 @ SX3 ) )
| ~ ! [SX3: variable] :
( ~ ( member_variable @ SX3 @ SX1 )
| ( SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[558]) ).
thf(686,plain,
( ( ! [SX0: variable > real,SX1: variable > real,SX2: set_variable,SX3: trm,SX4: denotational_interp] :
( ~ ( denota1419872369iation @ SX0 @ SX1 @ SX2 )
| ( ( inf_inf_set_variable @ ( static_FVT @ SX3 ) @ SX2 )
!= bot_bot_set_variable )
| ( ( denota1863255036rm_sem @ SX4 @ SX3 @ SX0 )
= ( denota1863255036rm_sem @ SX4 @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[635]) ).
thf(687,plain,
( ( ! [SX0: variable > $o,SX1: variable] :
( ~ ! [SX2: char] : ( SX0 @ ( rVar @ SX2 ) )
| ~ ! [SX2: char] : ( SX0 @ ( dVar @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(688,plain,
( ( ! [SX0: variable,SX1: set_variable] :
( ~ ( member_variable @ SX0 @ SX1 )
| ( ( insert_variable @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(689,plain,
( ( ! [SX0: set_variable] :
( ~ ! [SX1: variable] :
~ ( member_variable @ SX1 @ SX0 )
| ( SX0 = bot_bot_set_variable ) ) )
= $true ),
inference(unfold_def,[status(thm)],[529]) ).
thf(690,plain,
( ( ! [SX0: variable,SX1: variable,SX2: variable > real,SX3: real,SX4: set_variable_real] :
( ~ ( ( SX0 != SX1 ) )
| ( ( member_variable_real @ ( denotational_repv @ SX2 @ SX0 @ SX3 ) @ ( static_selectlike @ SX4 @ SX2 @ ( insert_variable @ SX1 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SX2 @ SX0 @ SX3 ) @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[610]) ).
thf(691,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: variable,SX3: set_variable] :
( ~ ~ ( member_variable @ SX0 @ SX1 )
| ~ ~ ( member_variable @ SX2 @ SX3 )
| ( ( ( insert_variable @ SX0 @ SX1 )
= ( insert_variable @ SX2 @ SX3 ) )
= ( ~ ( ~ ( ( SX0 != SX2 )
| ( SX1 = SX3 ) )
| ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ! [SX4: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SX1
!= ( insert_variable @ SX2 @ SX4 ) )
| ~ ~ ( member_variable @ SX2 @ SX4 ) )
| ( SX3
!= ( insert_variable @ SX0 @ SX4 ) ) )
| ~ ~ ( member_variable @ SX0 @ SX4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[534]) ).
thf(692,plain,
( ( ~ ! [SX0: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real] :
~ ! [SX1: trm,SX2: denotational_interp,SX3: trm,SX4: denotational_interp,SX5: char,SX6: real > variable > real] :
( ( ~ ! [SX7: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SX7 @ ( SX6 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SX5 ) @ ( insert_variable @ ( dVar @ SX5 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SX4 @ SX3 @ SX7 )
!= ( denota1863255036rm_sem @ SX2 @ SX1 @ SX7 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 ) @ ( SX6 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SX5 ) @ ( insert_variable @ ( dVar @ SX5 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SX4 @ SX3 @ ( SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 ) )
!= ( denota1863255036rm_sem @ SX2 @ SX1 @ ( SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[578]) ).
thf(693,plain,
( ( ! [SX0: char,SX1: char] :
( ( rVar @ SX0 )
!= ( dVar @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(694,plain,
( ( ! [SX0: trm,SX1: denotational_interp,SX2: trm,SX3: denotational_interp,SX4: char,SX5: real > variable > real] :
( ( ~ ! [SX6: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SX6 @ ( SX5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SX4 ) @ ( insert_variable @ ( dVar @ SX4 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SX3 @ SX2 @ SX6 )
!= ( denota1863255036rm_sem @ SX1 @ SX0 @ SX6 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( rr @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SX5 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SX4 ) @ ( insert_variable @ ( dVar @ SX4 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SX3 @ SX2 @ ( rr @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
!= ( denota1863255036rm_sem @ SX1 @ SX0 @ ( rr @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[580]) ).
thf(695,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: set_variable] :
( ~ ( member_variable @ SX0 @ ( sup_sup_set_variable @ SX1 @ SX2 ) )
| ~ ~ ( member_variable @ SX0 @ SX1 )
| ( member_variable @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[562]) ).
thf(696,plain,
( ( ! [SX0: variable > real,SX1: variable > real,SX2: set_variable] :
( ~ ( denota1419872369iation @ SX0 @ SX1 @ SX2 )
| ( denota1419872369iation @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[563]) ).
thf(697,plain,
( ( ! [SX0: variable,SX1: set_variable,SX2: variable > $o] :
( ( ! [SX3: variable] :
( ~ ( member_variable @ SX3 @ ( insert_variable @ SX0 @ SX1 ) )
| ( SX2 @ SX3 ) ) )
= ( ~ ( ~ ( SX2 @ SX0 )
| ~ ! [SX3: variable] :
( ~ ( member_variable @ SX3 @ SX1 )
| ( SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[585]) ).
thf(698,plain,
( ( ! [SX0: set_variable,SX1: set_variable,SX2: variable > $o] :
( ( ~ ! [SX3: variable] :
~ ~ ( ~ ( member_variable @ SX3 @ ( sup_sup_set_variable @ SX0 @ SX1 ) )
| ~ ( SX2 @ SX3 ) ) )
= ( ~ ! [SX3: variable] :
~ ~ ( ~ ( member_variable @ SX3 @ SX0 )
| ~ ( SX2 @ SX3 ) )
| ~ ! [SX3: variable] :
~ ~ ( ~ ( member_variable @ SX3 @ SX1 )
| ~ ( SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[559]) ).
thf(699,plain,
! [SV1: variable > real] :
( ( ! [SY356: variable > real] :
( ( denota1419872369iation @ SV1 @ SY356 @ bot_bot_set_variable )
= ( SV1 = SY356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(700,plain,
! [SV2: variable] :
( ( ! [SY357: set_variable,SY358: set_variable] :
( ( sup_sup_set_variable @ ( insert_variable @ SV2 @ SY357 ) @ SY358 )
= ( insert_variable @ SV2 @ ( sup_sup_set_variable @ SY357 @ SY358 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(701,plain,
! [SV3: set_variable] :
( ( ! [SY359: variable,SY360: set_variable] :
( ( sup_sup_set_variable @ SV3 @ ( insert_variable @ SY359 @ SY360 ) )
= ( insert_variable @ SY359 @ ( sup_sup_set_variable @ SV3 @ SY360 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(702,plain,
! [SV4: set_variable] :
( ( ( sup_sup_set_variable @ bot_bot_set_variable @ SV4 )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(703,plain,
! [SV5: set_variable] :
( ( ( sup_sup_set_variable @ SV5 @ bot_bot_set_variable )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(704,plain,
! [SV6: set_variable] :
( ( ( sup_sup_set_variable @ bot_bot_set_variable @ SV6 )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(705,plain,
! [SV7: set_variable] :
( ( ( sup_sup_set_variable @ SV7 @ bot_bot_set_variable )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(706,plain,
! [SV8: variable > $o] :
( ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= ( ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(707,plain,
! [SV9: variable > $o] :
( ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= ( ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(708,plain,
! [SV10: set_variable] :
( ( ( ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 ) )
= ( SV10 = bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(709,plain,
! [SV11: variable] :
( ( ~ ( member_variable @ SV11 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(710,plain,
! [SV12: variable] :
( ( ! [SY364: set_variable] :
( ( insert_variable @ SV12 @ ( insert_variable @ SV12 @ SY364 ) )
= ( insert_variable @ SV12 @ SY364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(711,plain,
! [SV13: variable] :
( ( ! [SY365: variable,SY366: set_variable] :
( ( member_variable @ SV13 @ ( insert_variable @ SY365 @ SY366 ) )
= ( ( SV13 = SY365 )
| ( member_variable @ SV13 @ SY366 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(712,plain,
! [SV14: set_variable] :
( ( ! [SY367: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV14 @ SY367 ) @ SY367 )
= ( sup_sup_set_variable @ SV14 @ SY367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(713,plain,
! [SV15: set_variable] :
( ( ! [SY368: set_variable] :
( ( sup_sup_set_variable @ SV15 @ ( sup_sup_set_variable @ SV15 @ SY368 ) )
= ( sup_sup_set_variable @ SV15 @ SY368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(714,plain,
! [SV16: set_variable] :
( ( ! [SY369: set_variable] :
( ( sup_sup_set_variable @ SV16 @ ( sup_sup_set_variable @ SV16 @ SY369 ) )
= ( sup_sup_set_variable @ SV16 @ SY369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(715,plain,
! [SV17: set_variable] :
( ( ( sup_sup_set_variable @ SV17 @ SV17 )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(716,plain,
! [SV18: set_variable] :
( ( ( sup_sup_set_variable @ SV18 @ SV18 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(717,plain,
! [SV19: variable] :
( ( member_variable @ SV19 @ ( insert_variable @ SV19 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(718,plain,
! [SV20: variable] :
( ( ~ ( member_variable @ SV20 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(719,plain,
! [SV21: variable] :
( ( ! [SY370: variable,SY371: set_variable] :
( ( insert_variable @ SV21 @ ( insert_variable @ SY370 @ SY371 ) )
= ( insert_variable @ SY370 @ ( insert_variable @ SV21 @ SY371 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(720,plain,
! [SV22: variable] :
( ( ! [SY372: set_variable] : ( member_variable @ SV22 @ ( insert_variable @ SV22 @ SY372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(721,plain,
! [SV23: set_variable] :
( ( ! [SY373: set_variable,SY374: set_variable] :
( ( sup_sup_set_variable @ SV23 @ ( sup_sup_set_variable @ SY373 @ SY374 ) )
= ( sup_sup_set_variable @ SY373 @ ( sup_sup_set_variable @ SV23 @ SY374 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(722,plain,
! [SV24: set_variable] :
( ( ! [SY375: set_variable,SY376: set_variable] :
( ( sup_sup_set_variable @ SV24 @ ( sup_sup_set_variable @ SY375 @ SY376 ) )
= ( sup_sup_set_variable @ SY375 @ ( sup_sup_set_variable @ SV24 @ SY376 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(723,plain,
( ( ! [SV25: set_variable] :
( ( sup_sup_set_variable @ SV25 )
= ( ^ [SY377: set_variable] : ( sup_sup_set_variable @ SY377 @ SV25 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(724,plain,
( ( sup_sup_set_variable
= ( ^ [X2: set_variable,Y3: set_variable] : ( sup_sup_set_variable @ Y3 @ X2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(725,plain,
( ( ! [SV26: set_variable] :
( ( sup_sup_set_variable @ SV26 )
= ( ^ [SY378: set_variable] : ( sup_sup_set_variable @ SY378 @ SV26 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(726,plain,
( ( sup_sup_set_variable
= ( ^ [A3: set_variable,B4: set_variable] : ( sup_sup_set_variable @ B4 @ A3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(727,plain,
! [SV27: set_variable] :
( ( ! [SY379: set_variable,SY380: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV27 @ SY379 ) @ SY380 )
= ( sup_sup_set_variable @ SV27 @ ( sup_sup_set_variable @ SY379 @ SY380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(728,plain,
! [SV28: set_variable] :
( ( ! [SY381: set_variable,SY382: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV28 @ SY381 ) @ SY382 )
= ( sup_sup_set_variable @ SV28 @ ( sup_sup_set_variable @ SY381 @ SY382 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(729,plain,
( ( ! [SV29: set_variable] :
( ( sup_sup_set_variable @ SV29 )
= ( ^ [SY383: set_variable] : ( sup_sup_set_variable @ SY383 @ SV29 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(730,plain,
( ( sup_sup_set_variable
= ( ^ [X2: set_variable,Y3: set_variable] : ( sup_sup_set_variable @ Y3 @ X2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(731,plain,
! [SV30: set_variable] :
( ( ! [SY384: set_variable,SY385: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV30 @ SY384 ) @ SY385 )
= ( sup_sup_set_variable @ SV30 @ ( sup_sup_set_variable @ SY384 @ SY385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(732,plain,
! [SV31: set_variable] :
( ( ! [SY386: set_variable,SY387: set_variable] :
( ( sup_sup_set_variable @ SV31 @ ( sup_sup_set_variable @ SY386 @ SY387 ) )
= ( sup_sup_set_variable @ SY386 @ ( sup_sup_set_variable @ SV31 @ SY387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(733,plain,
! [SV32: set_variable] :
( ( ! [SY388: set_variable] :
( ( sup_sup_set_variable @ SV32 @ ( sup_sup_set_variable @ SV32 @ SY388 ) )
= ( sup_sup_set_variable @ SV32 @ SY388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(734,plain,
! [SV33: set_variable] :
( ( ! [SY389: set_variable,SY390: set_variable] :
( ( sup_sup_set_variable @ SV33 @ ( sup_sup_set_variable @ SY389 @ SY390 ) )
= ( sup_sup_set_variable @ SY389 @ ( sup_sup_set_variable @ SV33 @ SY390 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(735,plain,
! [SV34: set_variable] :
( ( ! [SY391: set_variable] :
( ( sup_sup_set_variable @ SV34 @ ( sup_sup_set_variable @ SV34 @ SY391 ) )
= ( sup_sup_set_variable @ SV34 @ SY391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(736,plain,
( ( ! [SV35: set_variable] :
( ( sup_sup_set_variable @ SV35 )
= ( ^ [SY392: set_variable] : ( sup_sup_set_variable @ SY392 @ SV35 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(737,plain,
( ( sup_sup_set_variable
= ( ^ [A4: set_variable,B5: set_variable] : ( sup_sup_set_variable @ B5 @ A4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(738,plain,
! [SV36: set_variable] :
( ( ( sup_sup_set_variable @ SV36 @ SV36 )
= SV36 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(739,plain,
! [SV37: set_variable] :
( ( ! [SY393: set_variable,SY394: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV37 @ SY393 ) @ SY394 )
= ( sup_sup_set_variable @ SV37 @ ( sup_sup_set_variable @ SY393 @ SY394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(740,plain,
! [SV38: variable > real] :
( ( ! [SY395: set_variable] : ( denota1419872369iation @ SV38 @ SV38 @ SY395 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(741,plain,
( ( ! [SV39: variable > real] :
( ( denota1419872369iation @ SV39 )
= ( ^ [SY396: variable > real] : ( denota1419872369iation @ SY396 @ SV39 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(742,plain,
( ( denota1419872369iation
= ( ^ [Omega2: variable > real,Nu3: variable > real] : ( denota1419872369iation @ Nu3 @ Omega2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(743,plain,
! [SV40: variable] :
( ( ! [SY397: variable] :
( ( member_variable @ SV40 @ ( insert_variable @ SY397 @ bot_bot_set_variable ) )
= ( SV40 = SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(744,plain,
! [SV41: set_variable] :
( ( ( sup_sup_set_variable @ SV41 @ bot_bot_set_variable )
= SV41 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(745,plain,
! [SV42: set_variable] :
( ( ( sup_sup_set_variable @ bot_bot_set_variable @ SV42 )
= SV42 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(746,plain,
( ( ! [SV43: variable] :
( ( insert_variable @ SV43 )
= ( sup_sup_set_variable @ ( insert_variable @ SV43 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(747,plain,
( ( insert_variable
= ( ^ [A3: variable] : ( sup_sup_set_variable @ ( insert_variable @ A3 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(748,plain,
! [SV44: char] :
( ( ! [SY398: char] :
( ( ( rVar @ SV44 )
= ( rVar @ SY398 ) )
= ( SV44 = SY398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(749,plain,
! [SV45: char] :
( ( ! [SY399: char] :
( ( ( dVar @ SV45 )
= ( dVar @ SY399 ) )
= ( SV45 = SY399 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(750,plain,
! [SV46: variable] :
( ( ! [SY400: set_variable,SY401: set_variable] :
( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SY400 @ SY401 ) )
= ( ( member_variable @ SV46 @ SY400 )
| ( member_variable @ SV46 @ SY401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(751,plain,
! [SV47: variable] :
( ( ( the_elem_variable @ ( insert_variable @ SV47 @ bot_bot_set_variable ) )
= SV47 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(752,plain,
! [SV48: real] :
( ( ( zero_zero_real = SV48 )
= ( SV48 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(753,plain,
( ( ! [SV49: variable] :
( ( bot_bot_variable_o @ SV49 )
= ( member_variable @ SV49 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[594]) ).
thf(754,plain,
( ( bot_bot_variable_o
= ( ^ [X2: variable] : ( member_variable @ X2 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[594]) ).
thf(755,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= ( SV50 = bot_bot_variable_o ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(756,plain,
( ( ! [SV51: set_variable] :
( ( is_sin155454833riable @ SV51 )
= ( SV51
= ( insert_variable @ ( the_elem_variable @ SV51 ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(757,plain,
( ( is_sin155454833riable
= ( ^ [A4: set_variable] :
( A4
= ( insert_variable @ ( the_elem_variable @ A4 ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(758,plain,
! [SV52: variable] :
( ( is_sin155454833riable @ ( insert_variable @ SV52 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(759,plain,
! [SV53: char] :
( ( ( size_variable @ ( rVar @ SV53 ) )
= zero_zero_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(760,plain,
! [SV54: char] :
( ( ( size_variable @ ( dVar @ SV54 ) )
= zero_zero_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(761,plain,
! [SV55: char] :
( ( ( size_size_variable @ ( rVar @ SV55 ) )
= zero_zero_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(762,plain,
! [SV56: char] :
( ( ( size_size_variable @ ( dVar @ SV56 ) )
= zero_zero_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(763,plain,
( ( ! [SV57: set_variable] :
( ( is_empty_variable @ SV57 )
= ( SV57 = bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(764,plain,
( ( is_empty_variable
= ( ^ [A4: set_variable] : ( A4 = bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(765,plain,
! [SV58: variable > real] :
( ( ! [SY402: variable,SY403: real] : ( denota1419872369iation @ SV58 @ ( denotational_repv @ SV58 @ SY402 @ SY403 ) @ ( insert_variable @ SY402 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(766,plain,
! [SV59: variable] :
( ( ! [SY404: set_option_variable] :
( ( these_variable @ ( insert1340772453riable @ ( some_variable @ SV59 ) @ SY404 ) )
= ( insert_variable @ SV59 @ ( these_variable @ SY404 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(767,plain,
! [SV60: set_variable_real] :
( ( ! [SY405: variable > real] :
( ( static_selectlike @ SV60 @ SY405 @ bot_bot_set_variable )
= SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(768,plain,
! [SV61: set_variable_real] :
( ( ! [SY406: variable > real,SY407: set_variable,SY408: set_variable] :
( ( static_selectlike @ ( static_selectlike @ SV61 @ SY406 @ SY407 ) @ SY406 @ SY408 )
= ( static_selectlike @ SV61 @ SY406 @ ( sup_sup_set_variable @ SY407 @ SY408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(769,plain,
! [SV62: variable] :
( ( ( set_option_variable2 @ ( some_variable @ SV62 ) )
= ( insert_variable @ SV62 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(770,plain,
! [SV63: variable > real] :
( ( ! [SY409: variable,SY410: real] :
( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SY409 @ SY410 ) @ ( insert_variable @ SY409 @ bot_bot_set_variable ) )
= ( SY410
= ( SV63 @ SY409 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(771,plain,
! [SV64: option_variable] :
( ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= ( SV64 = none_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(772,plain,
! [SV65: variable > real] :
( ( ! [SY411: variable > real] : ( denotational_Vagree @ SV65 @ SY411 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(773,plain,
! [SV66: variable > real] :
( ( ! [SY412: variable,SY413: real] : ( denotational_Vagree @ SV66 @ ( denotational_repv @ SV66 @ SY412 @ SY413 ) @ ( uminus1851247844riable @ ( insert_variable @ SY412 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(774,plain,
! [SV67: real] :
( ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= ( zero_zero_real = SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(775,plain,
! [SV68: real] :
( ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= ( SV68 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(776,plain,
! [SV69: real] :
( ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= ( SV69 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(777,plain,
! [SV70: real] :
( ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= ( SV70 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(778,plain,
! [SV71: variable > real] :
( ( ! [SY414: variable > real,SY415: set_variable] :
( ( denota1419872369iation @ SV71 @ SY414 @ ( uminus1851247844riable @ SY415 ) )
= ( denotational_Vagree @ SV71 @ SY414 @ SY415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(779,plain,
! [SV72: variable > real] :
( ( ! [SY416: variable > real,SY417: set_variable,SY418: variable] : ( denotational_Vagree @ ( stateinterpol @ SV72 @ SY416 @ SY417 ) @ ( stateinterpol @ SV72 @ SY416 @ ( insert_variable @ SY418 @ SY417 ) ) @ ( uminus1851247844riable @ ( insert_variable @ SY418 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(780,plain,
! [SV73: variable > real] :
( ( ! [SY419: variable > real] :
( ( stateinterpol @ SV73 @ SY419 @ bot_bot_set_variable )
= SY419 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(781,plain,
! [SV74: $o] :
( ( ( SV74 = $true )
| ( SV74 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[638]) ).
thf(782,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[638]) ).
thf(783,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[638]) ).
thf(784,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(785,plain,
! [SV75: denotational_interp] :
( ( ! [SY420: real > variable > real,SY421: char,SY422: trm,SY423: real] :
( ~ ( denota1778088425es_ODE @ SV75 @ SY420 @ SY421 @ SY422 )
| ( denotational_Vagree @ ( SY420 @ SY423 ) @ ( SY420 @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ SY421 ) @ ( insert_variable @ ( dVar @ SY421 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(786,plain,
! [SV76: set_variable] :
( ( ~ ( ( SV76 != bot_bot_set_variable ) )
| ~ ! [SY424: variable,SY425: variable] :
( ~ ( member_variable @ SY424 @ SV76 )
| ~ ( member_variable @ SY425 @ SV76 )
| ( SY424 = SY425 ) )
| ( is_sin155454833riable @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(787,plain,
! [SV77: variable > real] :
( ( ! [SY426: variable,SY427: real,SY428: set_variable_real] :
( ( member_variable_real @ ( denotational_repv @ SV77 @ SY426 @ SY427 ) @ ( static_selectlike @ SY428 @ SV77 @ ( insert_variable @ SY426 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SY427
!= ( SV77 @ SY426 ) )
| ~ ( member_variable_real @ SV77 @ SY428 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(788,plain,
! [SV78: variable > real] :
( ( ! [SY429: set_variable,SY430: set_variable_real,SY431: set_variable_real] :
( ~ ! [SY432: variable > real] :
( ~ ( denota1419872369iation @ SY432 @ SV78 @ ( uminus1851247844riable @ SY429 ) )
| ( ( member_variable_real @ SY432 @ SY430 )
= ( member_variable_real @ SY432 @ SY431 ) ) )
| ( ( static_selectlike @ SY430 @ SV78 @ SY429 )
= ( static_selectlike @ SY431 @ SV78 @ SY429 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(789,plain,
! [SV79: variable > real] :
( ( ! [SY433: variable > real,SY434: set_variable,SY435: set_variable] :
( ~ ( denotational_Vagree @ SV79 @ SY433 @ SY434 )
| ~ ( denotational_Vagree @ SV79 @ SY433 @ SY435 )
| ( denotational_Vagree @ SV79 @ SY433 @ ( sup_sup_set_variable @ SY434 @ SY435 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(790,plain,
! [SV80: set_variable_real] :
( ( ! [SY436: variable > real,SY437: set_variable,SY438: set_variable_real] :
( ( ( static_selectlike @ SV80 @ SY436 @ SY437 )
= ( static_selectlike @ SY438 @ SY436 @ SY437 ) )
= ( ! [SY439: variable > real] :
( ~ ( denota1419872369iation @ SY439 @ SY436 @ ( uminus1851247844riable @ SY437 ) )
| ( ( member_variable_real @ SY439 @ SV80 )
= ( member_variable_real @ SY439 @ SY438 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(791,plain,
! [SV81: variable] :
( ( ! [SY440: variable] :
( ~ ( member_variable @ SV81 @ ( insert_variable @ SY440 @ bot_bot_set_variable ) )
| ( SV81 = SY440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(792,plain,
! [SV82: variable] :
( ( ! [SY441: set_variable,SY442: set_variable] :
( ~ ( ~ ~ ( member_variable @ SV82 @ SY441 )
| ( member_variable @ SV82 @ SY442 ) )
| ( member_variable @ SV82 @ ( sup_sup_set_variable @ SY442 @ SY441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(793,plain,
! [SV83: set_variable] :
( ( ! [SY443: set_variable] :
( ( ( sup_sup_set_variable @ SV83 @ SY443 )
= bot_bot_set_variable )
= ( ~ ( ( SV83 != bot_bot_set_variable )
| ( SY443 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(794,plain,
! [SV84: set_variable] :
( ( ( ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= ( SV84 != bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(795,plain,
! [SV85: set_variable] :
( ( ! [SY445: set_variable] :
( ( ( sup_sup_set_variable @ SV85 @ SY445 )
= bot_bot_set_variable )
= ( ~ ( ( SV85 != bot_bot_set_variable )
| ( SY445 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(796,plain,
! [SV86: variable] :
( ( ! [SY446: set_variable] :
( ~ ( member_variable @ SV86 @ SY446 )
| ~ ! [SY447: set_variable] :
( ( SY446
!= ( insert_variable @ SV86 @ SY447 ) )
| ( member_variable @ SV86 @ SY447 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(797,plain,
! [SV87: variable] :
( ( ! [SY448: set_variable] :
( ~ ( member_variable @ SV87 @ SY448 )
| ~ ! [SY449: set_variable] :
~ ~ ( ( SY448
!= ( insert_variable @ SV87 @ SY449 ) )
| ~ ~ ( member_variable @ SV87 @ SY449 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(798,plain,
! [SV88: variable] :
( ( ! [SY450: set_variable,SY451: set_variable] :
( ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SY450 @ SY451 ) ) )
= ( ~ ( ~ ~ ( member_variable @ SV88 @ SY450 )
| ~ ~ ( member_variable @ SV88 @ SY451 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(799,plain,
! [SV89: set_variable_real] :
( ( ! [SY452: variable > real,SY453: set_variable,SY454: set_variable_real] :
( ( ( static_selectlike @ SV89 @ SY452 @ ( uminus1851247844riable @ SY453 ) )
= ( static_selectlike @ SY454 @ SY452 @ ( uminus1851247844riable @ SY453 ) ) )
= ( ! [SY455: variable > real] :
( ~ ( denota1419872369iation @ SY455 @ SY452 @ SY453 )
| ( ( member_variable_real @ SY455 @ SV89 )
= ( member_variable_real @ SY455 @ SY454 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(800,plain,
! [SV90: set_variable] :
( ( ! [SY456: set_variable,SY457: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SY456 ) @ SY457 )
= ( ~ ( ~ ( ord_le282106107riable @ SV90 @ SY457 )
| ~ ( ord_le282106107riable @ SY456 @ SY457 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(801,plain,
! [SV91: variable] :
( ( ! [SY458: set_variable,SY459: variable] :
( ~ ( member_variable @ SV91 @ SY458 )
| ( member_variable @ SV91 @ ( insert_variable @ SY459 @ SY458 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(802,plain,
! [SV92: set_variable] :
( ( ! [SY460: set_variable,SY461: set_variable,SY462: set_variable] :
( ( SV92
!= ( sup_sup_set_variable @ SY460 @ SY461 ) )
| ( ( sup_sup_set_variable @ SY462 @ SV92 )
= ( sup_sup_set_variable @ SY460 @ ( sup_sup_set_variable @ SY462 @ SY461 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(803,plain,
! [SV93: set_variable] :
( ( ! [SY463: variable] :
( ( SV93 != bot_bot_set_variable )
| ~ ( member_variable @ SY463 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(804,plain,
( ( ! [SV94: set_variable] :
( ( is_sin155454833riable @ SV94 )
= ( ~ ! [SY464: variable] :
( SV94
!= ( insert_variable @ SY464 @ bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(805,plain,
( ( is_sin155454833riable
= ( ^ [SX0: set_variable] :
~ ! [SX1: variable] :
( SX0
!= ( insert_variable @ SX1 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(806,plain,
! [SV95: set_variable] :
( ( ! [SY465: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SY465 ) )
= ( ~ ( ( SV95 != bot_bot_set_variable )
| ( SY465 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(807,plain,
! [SV96: set_variable] :
( ( ! [SY466: set_variable] :
( ( ( sup_sup_set_variable @ SV96 @ SY466 )
= bot_bot_set_variable )
= ( ~ ( ( SV96 != bot_bot_set_variable )
| ( SY466 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(808,plain,
! [SV97: real > variable > real] :
( ( ! [SY467: char,SY468: denotational_interp,SY469: trm,SY470: denotational_interp,SY471: trm] :
( ~ ! [SY472: variable > real] :
( ~ ( denota1419872369iation @ SY472 @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY467 ) @ ( insert_variable @ ( dVar @ SY467 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SY468 @ SY469 @ SY472 )
= ( denota1863255036rm_sem @ SY470 @ SY471 @ SY472 ) ) )
| ( ( denota1778088425es_ODE @ SY468 @ SV97 @ SY467 @ SY469 )
= ( denota1778088425es_ODE @ SY470 @ SV97 @ SY467 @ SY471 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(809,plain,
! [SV98: set_variable] :
( ( ! [SY473: set_variable,SY474: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SY473 ) @ SY474 )
= ( ~ ( ~ ( ord_le282106107riable @ SV98 @ SY474 )
| ~ ( ord_le282106107riable @ SY473 @ SY474 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(810,plain,
! [SV99: variable] :
( ( ! [SY475: variable,SY476: set_variable] :
( ~ ( member_variable @ SV99 @ ( insert_variable @ SY475 @ SY476 ) )
| ~ ( ( SV99 != SY475 ) )
| ( member_variable @ SV99 @ SY476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(811,plain,
! [SV100: variable] :
( ( ~ ! [SY477: char] :
( SV100
!= ( rVar @ SY477 ) )
| ~ ! [SY478: char] :
( SV100
!= ( dVar @ SY478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(812,plain,
! [SV101: set_variable] :
( ( ~ ( is_sin155454833riable @ SV101 )
| ~ ! [SY479: variable] :
( SV101
!= ( insert_variable @ SY479 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(813,plain,
! [SV102: set_variable] :
( ( ! [SY480: set_variable] :
( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SY480 ) )
= ( ~ ( ( SV102 != bot_bot_set_variable )
| ( SY480 != bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(814,plain,
! [SV103: real > variable > real] :
( ( ! [SY481: char,SY482: denotational_interp,SY483: trm,SY484: denotational_interp,SY485: trm] :
( ~ ( ~ ( denota1419872369iation @ ( rr @ SY485 @ SY484 @ SY483 @ SY482 @ SY481 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY481 ) @ ( insert_variable @ ( dVar @ SY481 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY482 @ SY483 @ ( rr @ SY485 @ SY484 @ SY483 @ SY482 @ SY481 @ SV103 ) )
!= ( denota1863255036rm_sem @ SY484 @ SY485 @ ( rr @ SY485 @ SY484 @ SY483 @ SY482 @ SY481 @ SV103 ) ) ) ) )
| ( ( denota1778088425es_ODE @ SY482 @ SV103 @ SY481 @ SY483 )
= ( denota1778088425es_ODE @ SY484 @ SV103 @ SY481 @ SY485 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(815,plain,
! [SV104: variable] :
( ( ! [SY486: variable,SY487: variable,SY488: variable] :
( ( ( insert_variable @ SV104 @ ( insert_variable @ SY486 @ bot_bot_set_variable ) )
= ( insert_variable @ SY487 @ ( insert_variable @ SY488 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SV104 != SY487 )
| ( SY486 != SY488 ) )
| ~ ( ( SV104 != SY488 )
| ( SY486 != SY487 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(816,plain,
! [SV105: variable] :
( ( ! [SY489: set_variable,SY490: variable] :
( ~ ( ~ ~ ( member_variable @ SV105 @ SY489 )
| ( SV105 = SY490 ) )
| ( member_variable @ SV105 @ ( insert_variable @ SY490 @ SY489 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(817,plain,
! [SV106: real > variable > real] :
( ( ! [SY491: variable > real,SY492: set_variable,SY493: denotational_interp,SY494: char,SY495: trm,SY496: real] :
( ~ ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SY491 @ SY492 )
| ~ ( denota1778088425es_ODE @ SY493 @ SV106 @ SY494 @ SY495 )
| ( denota1419872369iation @ ( SV106 @ SY496 ) @ SY491 @ ( sup_sup_set_variable @ SY492 @ ( insert_variable @ ( rVar @ SY494 ) @ ( insert_variable @ ( dVar @ SY494 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(818,plain,
! [SV107: set_variable] :
( ( ! [SY497: set_variable,SY498: set_variable,SY499: set_variable] :
( ( SV107
!= ( sup_sup_set_variable @ SY497 @ SY498 ) )
| ( ( sup_sup_set_variable @ SV107 @ SY499 )
= ( sup_sup_set_variable @ SY497 @ ( sup_sup_set_variable @ SY498 @ SY499 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(819,plain,
! [SV108: variable] :
( ( ! [SY500: variable] :
( ( ( insert_variable @ SV108 @ bot_bot_set_variable )
!= ( insert_variable @ SY500 @ bot_bot_set_variable ) )
| ( SV108 = SY500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(820,plain,
! [SV109: variable] :
( ( ! [SY501: set_variable,SY502: set_variable] :
( ~ ~ ( member_variable @ SV109 @ SY501 )
| ~ ~ ( member_variable @ SV109 @ SY502 )
| ( ( ( insert_variable @ SV109 @ SY501 )
= ( insert_variable @ SV109 @ SY502 ) )
= ( SY501 = SY502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(821,plain,
! [SV110: variable] :
( ( ! [SY503: set_variable,SY504: set_variable] :
( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SY503 @ SY504 ) )
= ( ~ ( ( SY503 != bot_bot_set_variable )
| ( SY504
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SY503
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SY504 != bot_bot_set_variable ) )
| ~ ( ( SY503
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SY504
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(822,plain,
! [SV111: variable] :
( ( ! [SY505: variable,SY506: variable > real,SY507: real,SY508: set_variable_real] :
( ~ ( ( SV111 != SY505 ) )
| ( ( member_variable_real @ ( denotational_repv @ SY506 @ SV111 @ SY507 ) @ SY508 )
= ( member_variable_real @ ( denotational_repv @ SY506 @ SV111 @ SY507 ) @ ( static_selectlike @ SY508 @ SY506 @ ( insert_variable @ SY505 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(823,plain,
( ( ! [SV112: variable > real] :
( ( denota1419872369iation @ SV112 )
= ( ^ [SY509: variable > real,SY510: set_variable] :
! [SY511: variable] :
( ~ ~ ( member_variable @ SY511 @ SY510 )
| ( ( SV112 @ SY511 )
= ( SY509 @ SY511 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[677]) ).
thf(824,plain,
( ( denota1419872369iation
= ( ^ [SX0: variable > real,SX1: variable > real,SX2: set_variable] :
! [SX3: variable] :
( ~ ~ ( member_variable @ SX3 @ SX2 )
| ( ( SX0 @ SX3 )
= ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[677]) ).
thf(825,plain,
! [SV113: variable > real] :
( ( ! [SY512: variable > real,SY513: set_variable,SY514: set_variable] :
( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SY512 @ SY513 )
| ~ ( denotational_Vagree @ SV113 @ SY512 @ SY514 ) ) )
= ( denotational_Vagree @ SV113 @ SY512 @ ( sup_sup_set_variable @ SY513 @ SY514 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(826,plain,
! [SV114: variable > real] :
( ( ! [SY515: variable > real,SY516: set_variable,SY517: variable > real,SY518: set_variable] :
( ~ ( denota1419872369iation @ SV114 @ SY515 @ SY516 )
| ~ ( denota1419872369iation @ SY515 @ SY517 @ SY518 )
| ( denota1419872369iation @ SV114 @ SY517 @ ( sup_sup_set_variable @ SY516 @ SY518 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(827,plain,
! [SV115: set_variable] :
( ( ! [SY519: set_variable,SY520: variable] :
( ( ( sup_sup_set_variable @ SV115 @ SY519 )
= ( insert_variable @ SY520 @ bot_bot_set_variable ) )
= ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SY519
!= ( insert_variable @ SY520 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SY520 @ bot_bot_set_variable ) )
| ( SY519 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SY520 @ bot_bot_set_variable ) )
| ( SY519
!= ( insert_variable @ SY520 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(828,plain,
! [SV116: variable > real] :
( ( ! [SY521: set_variable,SY522: set_variable_real,SY523: set_variable_real] :
( ~ ! [SY524: variable > real] :
( ~ ( denota1419872369iation @ SY524 @ SV116 @ SY521 )
| ( ( member_variable_real @ SY524 @ SY522 )
= ( member_variable_real @ SY524 @ SY523 ) ) )
| ( ( static_selectlike @ SY522 @ SV116 @ ( uminus1851247844riable @ SY521 ) )
= ( static_selectlike @ SY523 @ SV116 @ ( uminus1851247844riable @ SY521 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(829,plain,
! [SV117: variable] :
( ( ! [SY525: set_variable,SY526: set_variable] :
( ~ ( member_variable @ SV117 @ SY525 )
| ( member_variable @ SV117 @ ( sup_sup_set_variable @ SY525 @ SY526 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(830,plain,
! [SV118: variable] :
( ( ! [SY527: set_variable,SY528: set_variable] :
( ~ ( member_variable @ SV118 @ SY527 )
| ( member_variable @ SV118 @ ( sup_sup_set_variable @ SY528 @ SY527 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(831,plain,
! [SV119: variable] :
( ( ! [SY529: set_variable] :
( ( insert_variable @ SV119 @ SY529 )
!= bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(832,plain,
! [SV120: set_variable] :
( ( ! [SY530: set_variable,SY531: variable > $o] :
( ( ! [SY532: variable] :
( ~ ( member_variable @ SY532 @ ( sup_sup_set_variable @ SV120 @ SY530 ) )
| ( SY531 @ SY532 ) ) )
= ( ~ ( ~ ! [SY533: variable] :
( ~ ( member_variable @ SY533 @ SV120 )
| ( SY531 @ SY533 ) )
| ~ ! [SX3: variable] :
( ~ ( member_variable @ SX3 @ SY530 )
| ( SY531 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(833,plain,
! [SV121: variable > real] :
( ( ! [SY535: variable > real,SY536: set_variable,SY537: trm,SY538: denotational_interp] :
( ~ ( denota1419872369iation @ SV121 @ SY535 @ SY536 )
| ( ( inf_inf_set_variable @ ( static_FVT @ SY537 ) @ SY536 )
!= bot_bot_set_variable )
| ( ( denota1863255036rm_sem @ SY538 @ SY537 @ SV121 )
= ( denota1863255036rm_sem @ SY538 @ SY537 @ SY535 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(834,plain,
! [SV122: variable > $o] :
( ( ! [SY539: variable] :
( ~ ! [SY540: char] : ( SV122 @ ( rVar @ SY540 ) )
| ~ ! [SY541: char] : ( SV122 @ ( dVar @ SY541 ) )
| ( SV122 @ SY539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(835,plain,
! [SV123: variable] :
( ( ! [SY542: set_variable] :
( ~ ( member_variable @ SV123 @ SY542 )
| ( ( insert_variable @ SV123 @ SY542 )
= SY542 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(836,plain,
! [SV124: set_variable] :
( ( ~ ! [SY543: variable] :
~ ( member_variable @ SY543 @ SV124 )
| ( SV124 = bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(837,plain,
! [SV125: variable] :
( ( ! [SY544: variable,SY545: variable > real,SY546: real,SY547: set_variable_real] :
( ~ ( ( SV125 != SY544 ) )
| ( ( member_variable_real @ ( denotational_repv @ SY545 @ SV125 @ SY546 ) @ ( static_selectlike @ SY547 @ SY545 @ ( insert_variable @ SY544 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SY545 @ SV125 @ SY546 ) @ SY547 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(838,plain,
! [SV126: variable] :
( ( ! [SY548: set_variable,SY549: variable,SY550: set_variable] :
( ~ ~ ( member_variable @ SV126 @ SY548 )
| ~ ~ ( member_variable @ SY549 @ SY550 )
| ( ( ( insert_variable @ SV126 @ SY548 )
= ( insert_variable @ SY549 @ SY550 ) )
= ( ~ ( ~ ( ( SV126 != SY549 )
| ( SY548 = SY550 ) )
| ~ ( ~ ( ( SV126 != SY549 ) )
| ~ ! [SY551: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SY548
!= ( insert_variable @ SY549 @ SY551 ) )
| ~ ~ ( member_variable @ SY549 @ SY551 ) )
| ( SY550
!= ( insert_variable @ SV126 @ SY551 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY551 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(839,plain,
( ( ! [SX0: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real] :
~ ! [SX1: trm,SX2: denotational_interp,SX3: trm,SX4: denotational_interp,SX5: char,SX6: real > variable > real] :
( ( ~ ! [SX7: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SX7 @ ( SX6 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SX5 ) @ ( insert_variable @ ( dVar @ SX5 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SX4 @ SX3 @ SX7 )
!= ( denota1863255036rm_sem @ SX2 @ SX1 @ SX7 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 ) @ ( SX6 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SX5 ) @ ( insert_variable @ ( dVar @ SX5 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SX4 @ SX3 @ ( SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 ) )
!= ( denota1863255036rm_sem @ SX2 @ SX1 @ ( SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(840,plain,
! [SV127: char] :
( ( ! [SY552: char] :
( ( rVar @ SV127 )
!= ( dVar @ SY552 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(841,plain,
! [SV128: trm] :
( ( ! [SY553: denotational_interp,SY554: trm,SY555: denotational_interp,SY556: char,SY557: real > variable > real] :
( ( ~ ! [SY558: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY558 @ ( SY557 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY556 ) @ ( insert_variable @ ( dVar @ SY556 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY555 @ SY554 @ SY558 )
!= ( denota1863255036rm_sem @ SY553 @ SV128 @ SY558 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SY553 @ SY554 @ SY555 @ SY556 @ SY557 ) @ ( SY557 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY556 ) @ ( insert_variable @ ( dVar @ SY556 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY555 @ SY554 @ ( rr @ SV128 @ SY553 @ SY554 @ SY555 @ SY556 @ SY557 ) )
!= ( denota1863255036rm_sem @ SY553 @ SV128 @ ( rr @ SV128 @ SY553 @ SY554 @ SY555 @ SY556 @ SY557 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(842,plain,
! [SV129: variable] :
( ( ! [SY559: set_variable,SY560: set_variable] :
( ~ ( member_variable @ SV129 @ ( sup_sup_set_variable @ SY559 @ SY560 ) )
| ~ ~ ( member_variable @ SV129 @ SY559 )
| ( member_variable @ SV129 @ SY560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(843,plain,
! [SV130: variable > real] :
( ( ! [SY561: variable > real,SY562: set_variable] :
( ~ ( denota1419872369iation @ SV130 @ SY561 @ SY562 )
| ( denota1419872369iation @ SY561 @ SV130 @ SY562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(844,plain,
! [SV131: variable] :
( ( ! [SY563: set_variable,SY564: variable > $o] :
( ( ! [SY565: variable] :
( ~ ( member_variable @ SY565 @ ( insert_variable @ SV131 @ SY563 ) )
| ( SY564 @ SY565 ) ) )
= ( ~ ( ~ ( SY564 @ SV131 )
| ~ ! [SX3: variable] :
( ~ ( member_variable @ SX3 @ SY563 )
| ( SY564 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(845,plain,
! [SV132: set_variable] :
( ( ! [SY567: set_variable,SY568: variable > $o] :
( ( ~ ! [SY569: variable] :
~ ~ ( ~ ( member_variable @ SY569 @ ( sup_sup_set_variable @ SV132 @ SY567 ) )
| ~ ( SY568 @ SY569 ) ) )
= ( ~ ! [SY570: variable] :
~ ~ ( ~ ( member_variable @ SY570 @ SV132 )
| ~ ( SY568 @ SY570 ) )
| ~ ! [SX3: variable] :
~ ~ ( ~ ( member_variable @ SX3 @ SY567 )
| ~ ( SY568 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(846,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= ( SV1 = SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(847,plain,
! [SV134: set_variable,SV2: variable] :
( ( ! [SY572: set_variable] :
( ( sup_sup_set_variable @ ( insert_variable @ SV2 @ SV134 ) @ SY572 )
= ( insert_variable @ SV2 @ ( sup_sup_set_variable @ SV134 @ SY572 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(848,plain,
! [SV135: variable,SV3: set_variable] :
( ( ! [SY573: set_variable] :
( ( sup_sup_set_variable @ SV3 @ ( insert_variable @ SV135 @ SY573 ) )
= ( insert_variable @ SV135 @ ( sup_sup_set_variable @ SV3 @ SY573 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(849,plain,
! [SV8: variable > $o] :
( ( ~ ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
| ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
| ~ ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[706]) ).
thf(850,plain,
! [SV8: variable > $o] :
( ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= ( ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[706]) ).
thf(851,plain,
! [SV9: variable > $o] :
( ( ~ ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
| ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
| ~ ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[707]) ).
thf(852,plain,
! [SV9: variable > $o] :
( ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= ( ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[707]) ).
thf(853,plain,
! [SV10: set_variable] :
( ( ~ ( ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 = bot_bot_set_variable ) )
| ~ ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(854,plain,
! [SV10: set_variable] :
( ( ( ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 ) )
= ( SV10 = bot_bot_set_variable ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(855,plain,
! [SV11: variable] :
( ( member_variable @ SV11 @ bot_bot_set_variable )
= $false ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(856,plain,
! [SV136: set_variable,SV12: variable] :
( ( ( insert_variable @ SV12 @ ( insert_variable @ SV12 @ SV136 ) )
= ( insert_variable @ SV12 @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(857,plain,
! [SV137: variable,SV13: variable] :
( ( ! [SY574: set_variable] :
( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SY574 ) )
= ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SY574 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(858,plain,
! [SV138: set_variable,SV14: set_variable] :
( ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV14 @ SV138 ) @ SV138 )
= ( sup_sup_set_variable @ SV14 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(859,plain,
! [SV139: set_variable,SV15: set_variable] :
( ( ( sup_sup_set_variable @ SV15 @ ( sup_sup_set_variable @ SV15 @ SV139 ) )
= ( sup_sup_set_variable @ SV15 @ SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(860,plain,
! [SV140: set_variable,SV16: set_variable] :
( ( ( sup_sup_set_variable @ SV16 @ ( sup_sup_set_variable @ SV16 @ SV140 ) )
= ( sup_sup_set_variable @ SV16 @ SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(861,plain,
! [SV20: variable] :
( ( member_variable @ SV20 @ bot_bot_set_variable )
= $false ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(862,plain,
! [SV141: variable,SV21: variable] :
( ( ! [SY575: set_variable] :
( ( insert_variable @ SV21 @ ( insert_variable @ SV141 @ SY575 ) )
= ( insert_variable @ SV141 @ ( insert_variable @ SV21 @ SY575 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(863,plain,
! [SV142: set_variable,SV22: variable] :
( ( member_variable @ SV22 @ ( insert_variable @ SV22 @ SV142 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(864,plain,
! [SV143: set_variable,SV23: set_variable] :
( ( ! [SY576: set_variable] :
( ( sup_sup_set_variable @ SV23 @ ( sup_sup_set_variable @ SV143 @ SY576 ) )
= ( sup_sup_set_variable @ SV143 @ ( sup_sup_set_variable @ SV23 @ SY576 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(865,plain,
! [SV144: set_variable,SV24: set_variable] :
( ( ! [SY577: set_variable] :
( ( sup_sup_set_variable @ SV24 @ ( sup_sup_set_variable @ SV144 @ SY577 ) )
= ( sup_sup_set_variable @ SV144 @ ( sup_sup_set_variable @ SV24 @ SY577 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(866,plain,
! [SV145: set_variable] :
( ( ( sup_sup_set_variable @ SV145 )
= ( ^ [SY578: set_variable] : ( sup_sup_set_variable @ SY578 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(867,plain,
! [SV146: set_variable] :
( ( ( sup_sup_set_variable @ SV146 )
= ( ^ [SY579: set_variable] : ( sup_sup_set_variable @ SY579 @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(868,plain,
! [SV147: set_variable,SV27: set_variable] :
( ( ! [SY580: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV27 @ SV147 ) @ SY580 )
= ( sup_sup_set_variable @ SV27 @ ( sup_sup_set_variable @ SV147 @ SY580 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(869,plain,
! [SV148: set_variable,SV28: set_variable] :
( ( ! [SY581: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV28 @ SV148 ) @ SY581 )
= ( sup_sup_set_variable @ SV28 @ ( sup_sup_set_variable @ SV148 @ SY581 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(870,plain,
! [SV149: set_variable] :
( ( ( sup_sup_set_variable @ SV149 )
= ( ^ [SY582: set_variable] : ( sup_sup_set_variable @ SY582 @ SV149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(871,plain,
! [SV150: set_variable,SV30: set_variable] :
( ( ! [SY583: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV30 @ SV150 ) @ SY583 )
= ( sup_sup_set_variable @ SV30 @ ( sup_sup_set_variable @ SV150 @ SY583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(872,plain,
! [SV151: set_variable,SV31: set_variable] :
( ( ! [SY584: set_variable] :
( ( sup_sup_set_variable @ SV31 @ ( sup_sup_set_variable @ SV151 @ SY584 ) )
= ( sup_sup_set_variable @ SV151 @ ( sup_sup_set_variable @ SV31 @ SY584 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(873,plain,
! [SV152: set_variable,SV32: set_variable] :
( ( ( sup_sup_set_variable @ SV32 @ ( sup_sup_set_variable @ SV32 @ SV152 ) )
= ( sup_sup_set_variable @ SV32 @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(874,plain,
! [SV153: set_variable,SV33: set_variable] :
( ( ! [SY585: set_variable] :
( ( sup_sup_set_variable @ SV33 @ ( sup_sup_set_variable @ SV153 @ SY585 ) )
= ( sup_sup_set_variable @ SV153 @ ( sup_sup_set_variable @ SV33 @ SY585 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(875,plain,
! [SV154: set_variable,SV34: set_variable] :
( ( ( sup_sup_set_variable @ SV34 @ ( sup_sup_set_variable @ SV34 @ SV154 ) )
= ( sup_sup_set_variable @ SV34 @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(876,plain,
! [SV155: set_variable] :
( ( ( sup_sup_set_variable @ SV155 )
= ( ^ [SY586: set_variable] : ( sup_sup_set_variable @ SY586 @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(877,plain,
! [SV156: set_variable,SV37: set_variable] :
( ( ! [SY587: set_variable] :
( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV37 @ SV156 ) @ SY587 )
= ( sup_sup_set_variable @ SV37 @ ( sup_sup_set_variable @ SV156 @ SY587 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(878,plain,
! [SV157: set_variable,SV38: variable > real] :
( ( denota1419872369iation @ SV38 @ SV38 @ SV157 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(879,plain,
! [SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 )
= ( ^ [SY588: variable > real] : ( denota1419872369iation @ SY588 @ SV158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(880,plain,
! [SV159: variable,SV40: variable] :
( ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= ( SV40 = SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(881,plain,
! [SV160: variable] :
( ( ( insert_variable @ SV160 )
= ( sup_sup_set_variable @ ( insert_variable @ SV160 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(882,plain,
! [SV161: char,SV44: char] :
( ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= ( SV44 = SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(883,plain,
! [SV162: char,SV45: char] :
( ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= ( SV45 = SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(884,plain,
! [SV163: set_variable,SV46: variable] :
( ( ! [SY589: set_variable] :
( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SY589 ) )
= ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SY589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(885,plain,
! [SV48: real] :
( ( ~ ( ( zero_zero_real = SV48 )
| ( SV48 = zero_zero_real ) )
| ~ ( ( zero_zero_real != SV48 )
| ( SV48 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[752]) ).
thf(886,plain,
! [SV48: real] :
( ( ( zero_zero_real = SV48 )
= ( SV48 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[752]) ).
thf(887,plain,
! [SV164: variable] :
( ( ( bot_bot_variable_o @ SV164 )
= ( member_variable @ SV164 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(888,plain,
! [SV50: variable > $o] :
( ( ~ ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
| ( SV50 = bot_bot_variable_o ) )
| ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(889,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= ( SV50 = bot_bot_variable_o ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(890,plain,
! [SV165: set_variable] :
( ( ( is_sin155454833riable @ SV165 )
= ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(891,plain,
! [SV166: set_variable] :
( ( ( is_empty_variable @ SV166 )
= ( SV166 = bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(892,plain,
! [SV167: variable,SV58: variable > real] :
( ( ! [SY590: real] : ( denota1419872369iation @ SV58 @ ( denotational_repv @ SV58 @ SV167 @ SY590 ) @ ( insert_variable @ SV167 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(893,plain,
! [SV168: set_option_variable,SV59: variable] :
( ( ( these_variable @ ( insert1340772453riable @ ( some_variable @ SV59 ) @ SV168 ) )
= ( insert_variable @ SV59 @ ( these_variable @ SV168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(894,plain,
! [SV169: variable > real,SV60: set_variable_real] :
( ( ( static_selectlike @ SV60 @ SV169 @ bot_bot_set_variable )
= SV60 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(895,plain,
! [SV170: variable > real,SV61: set_variable_real] :
( ( ! [SY591: set_variable,SY592: set_variable] :
( ( static_selectlike @ ( static_selectlike @ SV61 @ SV170 @ SY591 ) @ SV170 @ SY592 )
= ( static_selectlike @ SV61 @ SV170 @ ( sup_sup_set_variable @ SY591 @ SY592 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(896,plain,
! [SV171: variable,SV63: variable > real] :
( ( ! [SY593: real] :
( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SY593 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= ( SY593
= ( SV63 @ SV171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(897,plain,
! [SV64: option_variable] :
( ( ~ ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
| ( SV64 = none_variable ) )
| ~ ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
| ( SV64 != none_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[771]) ).
thf(898,plain,
! [SV64: option_variable] :
( ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= ( SV64 = none_variable ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[771]) ).
thf(899,plain,
! [SV172: variable > real,SV65: variable > real] :
( ( denotational_Vagree @ SV65 @ SV172 @ bot_bot_set_variable )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(900,plain,
! [SV173: variable,SV66: variable > real] :
( ( ! [SY594: real] : ( denotational_Vagree @ SV66 @ ( denotational_repv @ SV66 @ SV173 @ SY594 ) @ ( uminus1851247844riable @ ( insert_variable @ SV173 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(901,plain,
! [SV67: real] :
( ( ~ ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real = SV67 ) )
| ~ ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real != SV67 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[774]) ).
thf(902,plain,
! [SV67: real] :
( ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= ( zero_zero_real = SV67 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[774]) ).
thf(903,plain,
! [SV68: real] :
( ( ~ ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
| ( SV68 = zero_zero_real ) )
| ~ ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
| ( SV68 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[775]) ).
thf(904,plain,
! [SV68: real] :
( ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= ( SV68 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[775]) ).
thf(905,plain,
! [SV69: real] :
( ( ~ ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
| ( SV69 = zero_zero_real ) )
| ~ ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
| ( SV69 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[776]) ).
thf(906,plain,
! [SV69: real] :
( ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= ( SV69 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[776]) ).
thf(907,plain,
! [SV70: real] :
( ( ~ ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
| ( SV70 = zero_zero_real ) )
| ~ ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
| ( SV70 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[777]) ).
thf(908,plain,
! [SV70: real] :
( ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= ( SV70 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[777]) ).
thf(909,plain,
! [SV174: variable > real,SV71: variable > real] :
( ( ! [SY595: set_variable] :
( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SY595 ) )
= ( denotational_Vagree @ SV71 @ SV174 @ SY595 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(910,plain,
! [SV175: variable > real,SV72: variable > real] :
( ( ! [SY596: set_variable,SY597: variable] : ( denotational_Vagree @ ( stateinterpol @ SV72 @ SV175 @ SY596 ) @ ( stateinterpol @ SV72 @ SV175 @ ( insert_variable @ SY597 @ SY596 ) ) @ ( uminus1851247844riable @ ( insert_variable @ SY597 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(911,plain,
! [SV176: variable > real,SV73: variable > real] :
( ( ( stateinterpol @ SV73 @ SV176 @ bot_bot_set_variable )
= SV176 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(912,plain,
! [SV74: $o] :
( ( ( SV74 = $true )
= $true )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(913,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(914,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(915,plain,
! [SV177: real > variable > real,SV75: denotational_interp] :
( ( ! [SY598: char,SY599: trm,SY600: real] :
( ~ ( denota1778088425es_ODE @ SV75 @ SV177 @ SY598 @ SY599 )
| ( denotational_Vagree @ ( SV177 @ SY600 ) @ ( SV177 @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ SY598 ) @ ( insert_variable @ ( dVar @ SY598 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(916,plain,
! [SV76: set_variable] :
( ( ( ~ ( ( SV76 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ! [SY424: variable,SY425: variable] :
( ~ ( member_variable @ SY424 @ SV76 )
| ~ ( member_variable @ SY425 @ SV76 )
| ( SY424 = SY425 ) )
| ( is_sin155454833riable @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(917,plain,
! [SV178: variable,SV77: variable > real] :
( ( ! [SY601: real,SY602: set_variable_real] :
( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SY601 ) @ ( static_selectlike @ SY602 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SY601
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SY602 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(918,plain,
! [SV179: set_variable,SV78: variable > real] :
( ( ! [SY603: set_variable_real,SY604: set_variable_real] :
( ~ ! [SY605: variable > real] :
( ~ ( denota1419872369iation @ SY605 @ SV78 @ ( uminus1851247844riable @ SV179 ) )
| ( ( member_variable_real @ SY605 @ SY603 )
= ( member_variable_real @ SY605 @ SY604 ) ) )
| ( ( static_selectlike @ SY603 @ SV78 @ SV179 )
= ( static_selectlike @ SY604 @ SV78 @ SV179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(919,plain,
! [SV180: variable > real,SV79: variable > real] :
( ( ! [SY606: set_variable,SY607: set_variable] :
( ~ ( denotational_Vagree @ SV79 @ SV180 @ SY606 )
| ~ ( denotational_Vagree @ SV79 @ SV180 @ SY607 )
| ( denotational_Vagree @ SV79 @ SV180 @ ( sup_sup_set_variable @ SY606 @ SY607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(920,plain,
! [SV181: variable > real,SV80: set_variable_real] :
( ( ! [SY608: set_variable,SY609: set_variable_real] :
( ( ( static_selectlike @ SV80 @ SV181 @ SY608 )
= ( static_selectlike @ SY609 @ SV181 @ SY608 ) )
= ( ! [SY610: variable > real] :
( ~ ( denota1419872369iation @ SY610 @ SV181 @ ( uminus1851247844riable @ SY608 ) )
| ( ( member_variable_real @ SY610 @ SV80 )
= ( member_variable_real @ SY610 @ SY609 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(921,plain,
! [SV182: variable,SV81: variable] :
( ( ~ ( member_variable @ SV81 @ ( insert_variable @ SV182 @ bot_bot_set_variable ) )
| ( SV81 = SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(922,plain,
! [SV183: set_variable,SV82: variable] :
( ( ! [SY611: set_variable] :
( ~ ( ~ ~ ( member_variable @ SV82 @ SV183 )
| ( member_variable @ SV82 @ SY611 ) )
| ( member_variable @ SV82 @ ( sup_sup_set_variable @ SY611 @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(923,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= ( ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(924,plain,
! [SV84: set_variable] :
( ( ~ ( ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ( SV84 != bot_bot_set_variable ) )
| ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[794]) ).
thf(925,plain,
! [SV84: set_variable] :
( ( ( ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= ( SV84 != bot_bot_set_variable ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[794]) ).
thf(926,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= ( ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(927,plain,
! [SV186: set_variable,SV86: variable] :
( ( ~ ( member_variable @ SV86 @ SV186 )
| ~ ! [SY612: set_variable] :
( ( SV186
!= ( insert_variable @ SV86 @ SY612 ) )
| ( member_variable @ SV86 @ SY612 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(928,plain,
! [SV187: set_variable,SV87: variable] :
( ( ~ ( member_variable @ SV87 @ SV187 )
| ~ ! [SY613: set_variable] :
~ ~ ( ( SV187
!= ( insert_variable @ SV87 @ SY613 ) )
| ~ ~ ( member_variable @ SV87 @ SY613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(929,plain,
! [SV188: set_variable,SV88: variable] :
( ( ! [SY614: set_variable] :
( ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SY614 ) ) )
= ( ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SY614 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(930,plain,
! [SV189: variable > real,SV89: set_variable_real] :
( ( ! [SY615: set_variable,SY616: set_variable_real] :
( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SY615 ) )
= ( static_selectlike @ SY616 @ SV189 @ ( uminus1851247844riable @ SY615 ) ) )
= ( ! [SY617: variable > real] :
( ~ ( denota1419872369iation @ SY617 @ SV189 @ SY615 )
| ( ( member_variable_real @ SY617 @ SV89 )
= ( member_variable_real @ SY617 @ SY616 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(931,plain,
! [SV190: set_variable,SV90: set_variable] :
( ( ! [SY618: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SY618 )
= ( ~ ( ~ ( ord_le282106107riable @ SV90 @ SY618 )
| ~ ( ord_le282106107riable @ SV190 @ SY618 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(932,plain,
! [SV191: set_variable,SV91: variable] :
( ( ! [SY619: variable] :
( ~ ( member_variable @ SV91 @ SV191 )
| ( member_variable @ SV91 @ ( insert_variable @ SY619 @ SV191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(933,plain,
! [SV192: set_variable,SV92: set_variable] :
( ( ! [SY620: set_variable,SY621: set_variable] :
( ( SV92
!= ( sup_sup_set_variable @ SV192 @ SY620 ) )
| ( ( sup_sup_set_variable @ SY621 @ SV92 )
= ( sup_sup_set_variable @ SV192 @ ( sup_sup_set_variable @ SY621 @ SY620 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(934,plain,
! [SV193: variable,SV93: set_variable] :
( ( ( SV93 != bot_bot_set_variable )
| ~ ( member_variable @ SV193 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(935,plain,
! [SV194: set_variable] :
( ( ( is_sin155454833riable @ SV194 )
= ( ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(936,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= ( ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(937,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= ( ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(938,plain,
! [SV197: char,SV97: real > variable > real] :
( ( ! [SY623: denotational_interp,SY624: trm,SY625: denotational_interp,SY626: trm] :
( ~ ! [SY627: variable > real] :
( ~ ( denota1419872369iation @ SY627 @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SY623 @ SY624 @ SY627 )
= ( denota1863255036rm_sem @ SY625 @ SY626 @ SY627 ) ) )
| ( ( denota1778088425es_ODE @ SY623 @ SV97 @ SV197 @ SY624 )
= ( denota1778088425es_ODE @ SY625 @ SV97 @ SV197 @ SY626 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(939,plain,
! [SV198: set_variable,SV98: set_variable] :
( ( ! [SY628: set_variable] :
( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SY628 )
= ( ~ ( ~ ( ord_le282106107riable @ SV98 @ SY628 )
| ~ ( ord_le282106107riable @ SV198 @ SY628 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(940,plain,
! [SV199: variable,SV99: variable] :
( ( ! [SY629: set_variable] :
( ~ ( member_variable @ SV99 @ ( insert_variable @ SV199 @ SY629 ) )
| ~ ( ( SV99 != SV199 ) )
| ( member_variable @ SV99 @ SY629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(941,plain,
! [SV100: variable] :
( ( ( ~ ! [SY477: char] :
( SV100
!= ( rVar @ SY477 ) ) )
= $true )
| ( ( ~ ! [SY478: char] :
( SV100
!= ( dVar @ SY478 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(942,plain,
! [SV101: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV101 ) )
= $true )
| ( ( ~ ! [SY479: variable] :
( SV101
!= ( insert_variable @ SY479 @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(943,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= ( ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(944,plain,
! [SV103: real > variable > real,SV201: char] :
( ( ! [SY630: denotational_interp,SY631: trm,SY632: denotational_interp,SY633: trm] :
( ~ ( ~ ( denota1419872369iation @ ( rr @ SY633 @ SY632 @ SY631 @ SY630 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY630 @ SY631 @ ( rr @ SY633 @ SY632 @ SY631 @ SY630 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SY632 @ SY633 @ ( rr @ SY633 @ SY632 @ SY631 @ SY630 @ SV201 @ SV103 ) ) ) ) )
| ( ( denota1778088425es_ODE @ SY630 @ SV103 @ SV201 @ SY631 )
= ( denota1778088425es_ODE @ SY632 @ SV103 @ SV201 @ SY633 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(945,plain,
! [SV202: variable,SV104: variable] :
( ( ! [SY634: variable,SY635: variable] :
( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SY634 @ ( insert_variable @ SY635 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SV104 != SY634 )
| ( SV202 != SY635 ) )
| ~ ( ( SV104 != SY635 )
| ( SV202 != SY634 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(946,plain,
! [SV203: set_variable,SV105: variable] :
( ( ! [SY636: variable] :
( ~ ( ~ ~ ( member_variable @ SV105 @ SV203 )
| ( SV105 = SY636 ) )
| ( member_variable @ SV105 @ ( insert_variable @ SY636 @ SV203 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(947,plain,
! [SV204: variable > real,SV106: real > variable > real] :
( ( ! [SY637: set_variable,SY638: denotational_interp,SY639: char,SY640: trm,SY641: real] :
( ~ ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SY637 )
| ~ ( denota1778088425es_ODE @ SY638 @ SV106 @ SY639 @ SY640 )
| ( denota1419872369iation @ ( SV106 @ SY641 ) @ SV204 @ ( sup_sup_set_variable @ SY637 @ ( insert_variable @ ( rVar @ SY639 ) @ ( insert_variable @ ( dVar @ SY639 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(948,plain,
! [SV205: set_variable,SV107: set_variable] :
( ( ! [SY642: set_variable,SY643: set_variable] :
( ( SV107
!= ( sup_sup_set_variable @ SV205 @ SY642 ) )
| ( ( sup_sup_set_variable @ SV107 @ SY643 )
= ( sup_sup_set_variable @ SV205 @ ( sup_sup_set_variable @ SY642 @ SY643 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(949,plain,
! [SV206: variable,SV108: variable] :
( ( ( ( insert_variable @ SV108 @ bot_bot_set_variable )
!= ( insert_variable @ SV206 @ bot_bot_set_variable ) )
| ( SV108 = SV206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(950,plain,
! [SV207: set_variable,SV109: variable] :
( ( ! [SY644: set_variable] :
( ~ ~ ( member_variable @ SV109 @ SV207 )
| ~ ~ ( member_variable @ SV109 @ SY644 )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SY644 ) )
= ( SV207 = SY644 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(951,plain,
! [SV208: set_variable,SV110: variable] :
( ( ! [SY645: set_variable] :
( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SY645 ) )
= ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SY645
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SY645 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SY645
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(952,plain,
! [SV209: variable,SV111: variable] :
( ( ! [SY646: variable > real,SY647: real,SY648: set_variable_real] :
( ~ ( ( SV111 != SV209 ) )
| ( ( member_variable_real @ ( denotational_repv @ SY646 @ SV111 @ SY647 ) @ SY648 )
= ( member_variable_real @ ( denotational_repv @ SY646 @ SV111 @ SY647 ) @ ( static_selectlike @ SY648 @ SY646 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(953,plain,
! [SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 )
= ( ^ [SY649: variable > real,SY650: set_variable] :
! [SY651: variable] :
( ~ ~ ( member_variable @ SY651 @ SY650 )
| ( ( SV210 @ SY651 )
= ( SY649 @ SY651 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(954,plain,
! [SV211: variable > real,SV113: variable > real] :
( ( ! [SY652: set_variable,SY653: set_variable] :
( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SY652 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SY653 ) ) )
= ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SY652 @ SY653 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(955,plain,
! [SV212: variable > real,SV114: variable > real] :
( ( ! [SY654: set_variable,SY655: variable > real,SY656: set_variable] :
( ~ ( denota1419872369iation @ SV114 @ SV212 @ SY654 )
| ~ ( denota1419872369iation @ SV212 @ SY655 @ SY656 )
| ( denota1419872369iation @ SV114 @ SY655 @ ( sup_sup_set_variable @ SY654 @ SY656 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(956,plain,
! [SV213: set_variable,SV115: set_variable] :
( ( ! [SY657: variable] :
( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SY657 @ bot_bot_set_variable ) )
= ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SY657 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SY657 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SY657 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SY657 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(957,plain,
! [SV214: set_variable,SV116: variable > real] :
( ( ! [SY658: set_variable_real,SY659: set_variable_real] :
( ~ ! [SY660: variable > real] :
( ~ ( denota1419872369iation @ SY660 @ SV116 @ SV214 )
| ( ( member_variable_real @ SY660 @ SY658 )
= ( member_variable_real @ SY660 @ SY659 ) ) )
| ( ( static_selectlike @ SY658 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SY659 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(958,plain,
! [SV215: set_variable,SV117: variable] :
( ( ! [SY661: set_variable] :
( ~ ( member_variable @ SV117 @ SV215 )
| ( member_variable @ SV117 @ ( sup_sup_set_variable @ SV215 @ SY661 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(959,plain,
! [SV216: set_variable,SV118: variable] :
( ( ! [SY662: set_variable] :
( ~ ( member_variable @ SV118 @ SV216 )
| ( member_variable @ SV118 @ ( sup_sup_set_variable @ SY662 @ SV216 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(960,plain,
! [SV217: set_variable,SV119: variable] :
( ( ( insert_variable @ SV119 @ SV217 )
!= bot_bot_set_variable )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(961,plain,
! [SV218: set_variable,SV120: set_variable] :
( ( ! [SY663: variable > $o] :
( ( ! [SY664: variable] :
( ~ ( member_variable @ SY664 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SY663 @ SY664 ) ) )
= ( ~ ( ~ ! [SY533: variable] :
( ~ ( member_variable @ SY533 @ SV120 )
| ( SY663 @ SY533 ) )
| ~ ! [SY666: variable] :
( ~ ( member_variable @ SY666 @ SV218 )
| ( SY663 @ SY666 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(962,plain,
! [SV219: variable > real,SV121: variable > real] :
( ( ! [SY667: set_variable,SY668: trm,SY669: denotational_interp] :
( ~ ( denota1419872369iation @ SV121 @ SV219 @ SY667 )
| ( ( inf_inf_set_variable @ ( static_FVT @ SY668 ) @ SY667 )
!= bot_bot_set_variable )
| ( ( denota1863255036rm_sem @ SY669 @ SY668 @ SV121 )
= ( denota1863255036rm_sem @ SY669 @ SY668 @ SV219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(963,plain,
! [SV220: variable,SV122: variable > $o] :
( ( ~ ! [SY540: char] : ( SV122 @ ( rVar @ SY540 ) )
| ~ ! [SY541: char] : ( SV122 @ ( dVar @ SY541 ) )
| ( SV122 @ SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(964,plain,
! [SV221: set_variable,SV123: variable] :
( ( ~ ( member_variable @ SV123 @ SV221 )
| ( ( insert_variable @ SV123 @ SV221 )
= SV221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(965,plain,
! [SV124: set_variable] :
( ( ( ~ ! [SY543: variable] :
~ ( member_variable @ SY543 @ SV124 ) )
= $true )
| ( ( SV124 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(966,plain,
! [SV222: variable,SV125: variable] :
( ( ! [SY672: variable > real,SY673: real,SY674: set_variable_real] :
( ~ ( ( SV125 != SV222 ) )
| ( ( member_variable_real @ ( denotational_repv @ SY672 @ SV125 @ SY673 ) @ ( static_selectlike @ SY674 @ SY672 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SY672 @ SV125 @ SY673 ) @ SY674 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(967,plain,
! [SV223: set_variable,SV126: variable] :
( ( ! [SY675: variable,SY676: set_variable] :
( ~ ~ ( member_variable @ SV126 @ SV223 )
| ~ ~ ( member_variable @ SY675 @ SY676 )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SY675 @ SY676 ) )
= ( ~ ( ~ ( ( SV126 != SY675 )
| ( SV223 = SY676 ) )
| ~ ( ~ ( ( SV126 != SY675 ) )
| ~ ! [SY677: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SY675 @ SY677 ) )
| ~ ~ ( member_variable @ SY675 @ SY677 ) )
| ( SY676
!= ( insert_variable @ SV126 @ SY677 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY677 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(968,plain,
( ( ~ ! [SY678: trm,SY679: denotational_interp,SY680: trm,SY681: denotational_interp,SY682: char,SY683: real > variable > real] :
( ( ~ ! [SX7: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SX7 @ ( SY683 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY682 ) @ ( insert_variable @ ( dVar @ SY682 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY681 @ SY680 @ SX7 )
!= ( denota1863255036rm_sem @ SY679 @ SY678 @ SX7 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SY678 @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 ) @ ( SY683 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY682 ) @ ( insert_variable @ ( dVar @ SY682 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY681 @ SY680 @ ( sK1_SX0 @ SY678 @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 ) )
!= ( denota1863255036rm_sem @ SY679 @ SY678 @ ( sK1_SX0 @ SY678 @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[839]) ).
thf(969,plain,
! [SV224: char,SV127: char] :
( ( ( rVar @ SV127 )
!= ( dVar @ SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(970,plain,
! [SV128: trm,SV225: denotational_interp] :
( ( ! [SY685: trm,SY686: denotational_interp,SY687: char,SY688: real > variable > real] :
( ( ~ ! [SY689: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY689 @ ( SY688 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY687 ) @ ( insert_variable @ ( dVar @ SY687 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY686 @ SY685 @ SY689 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY689 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SY685 @ SY686 @ SY687 @ SY688 ) @ ( SY688 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY687 ) @ ( insert_variable @ ( dVar @ SY687 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY686 @ SY685 @ ( rr @ SV128 @ SV225 @ SY685 @ SY686 @ SY687 @ SY688 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SY685 @ SY686 @ SY687 @ SY688 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(971,plain,
! [SV226: set_variable,SV129: variable] :
( ( ! [SY690: set_variable] :
( ~ ( member_variable @ SV129 @ ( sup_sup_set_variable @ SV226 @ SY690 ) )
| ~ ~ ( member_variable @ SV129 @ SV226 )
| ( member_variable @ SV129 @ SY690 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(972,plain,
! [SV227: variable > real,SV130: variable > real] :
( ( ! [SY691: set_variable] :
( ~ ( denota1419872369iation @ SV130 @ SV227 @ SY691 )
| ( denota1419872369iation @ SV227 @ SV130 @ SY691 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(973,plain,
! [SV228: set_variable,SV131: variable] :
( ( ! [SY692: variable > $o] :
( ( ! [SY693: variable] :
( ~ ( member_variable @ SY693 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SY692 @ SY693 ) ) )
= ( ~ ( ~ ( SY692 @ SV131 )
| ~ ! [SY694: variable] :
( ~ ( member_variable @ SY694 @ SV228 )
| ( SY692 @ SY694 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(974,plain,
! [SV229: set_variable,SV132: set_variable] :
( ( ! [SY695: variable > $o] :
( ( ~ ! [SY696: variable] :
~ ~ ( ~ ( member_variable @ SY696 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SY695 @ SY696 ) ) )
= ( ~ ! [SY570: variable] :
~ ~ ( ~ ( member_variable @ SY570 @ SV132 )
| ~ ( SY695 @ SY570 ) )
| ~ ! [SY698: variable] :
~ ~ ( ~ ( member_variable @ SY698 @ SV229 )
| ~ ( SY695 @ SY698 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(975,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ~ ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 = SV133 ) )
| ~ ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[846]) ).
thf(976,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= ( SV1 = SV133 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[846]) ).
thf(977,plain,
! [SV230: set_variable,SV134: set_variable,SV2: variable] :
( ( ( sup_sup_set_variable @ ( insert_variable @ SV2 @ SV134 ) @ SV230 )
= ( insert_variable @ SV2 @ ( sup_sup_set_variable @ SV134 @ SV230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(978,plain,
! [SV231: set_variable,SV135: variable,SV3: set_variable] :
( ( ( sup_sup_set_variable @ SV3 @ ( insert_variable @ SV135 @ SV231 ) )
= ( insert_variable @ SV135 @ ( sup_sup_set_variable @ SV3 @ SV231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(979,plain,
! [SV8: variable > $o] :
( ( ( ~ ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
| ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(980,plain,
! [SV9: variable > $o] :
( ( ( ~ ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
| ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true )
| ( ( ~ ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(981,plain,
! [SV10: set_variable] :
( ( ( ~ ( ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 = bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(982,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(983,plain,
! [SV233: set_variable,SV141: variable,SV21: variable] :
( ( ( insert_variable @ SV21 @ ( insert_variable @ SV141 @ SV233 ) )
= ( insert_variable @ SV141 @ ( insert_variable @ SV21 @ SV233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(984,plain,
! [SV234: set_variable,SV143: set_variable,SV23: set_variable] :
( ( ( sup_sup_set_variable @ SV23 @ ( sup_sup_set_variable @ SV143 @ SV234 ) )
= ( sup_sup_set_variable @ SV143 @ ( sup_sup_set_variable @ SV23 @ SV234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(985,plain,
! [SV235: set_variable,SV144: set_variable,SV24: set_variable] :
( ( ( sup_sup_set_variable @ SV24 @ ( sup_sup_set_variable @ SV144 @ SV235 ) )
= ( sup_sup_set_variable @ SV144 @ ( sup_sup_set_variable @ SV24 @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(986,plain,
! [SV145: set_variable] :
( ( ! [SV236: set_variable] :
( ( sup_sup_set_variable @ SV145 @ SV236 )
= ( sup_sup_set_variable @ SV236 @ SV145 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[866]) ).
thf(987,plain,
! [SV145: set_variable] :
( ( ( sup_sup_set_variable @ SV145 )
= ( ^ [SY578: set_variable] : ( sup_sup_set_variable @ SY578 @ SV145 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[866]) ).
thf(988,plain,
! [SV146: set_variable] :
( ( ! [SV237: set_variable] :
( ( sup_sup_set_variable @ SV146 @ SV237 )
= ( sup_sup_set_variable @ SV237 @ SV146 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[867]) ).
thf(989,plain,
! [SV146: set_variable] :
( ( ( sup_sup_set_variable @ SV146 )
= ( ^ [SY579: set_variable] : ( sup_sup_set_variable @ SY579 @ SV146 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[867]) ).
thf(990,plain,
! [SV238: set_variable,SV147: set_variable,SV27: set_variable] :
( ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV27 @ SV147 ) @ SV238 )
= ( sup_sup_set_variable @ SV27 @ ( sup_sup_set_variable @ SV147 @ SV238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(991,plain,
! [SV239: set_variable,SV148: set_variable,SV28: set_variable] :
( ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV28 @ SV148 ) @ SV239 )
= ( sup_sup_set_variable @ SV28 @ ( sup_sup_set_variable @ SV148 @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(992,plain,
! [SV149: set_variable] :
( ( ! [SV240: set_variable] :
( ( sup_sup_set_variable @ SV149 @ SV240 )
= ( sup_sup_set_variable @ SV240 @ SV149 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[870]) ).
thf(993,plain,
! [SV149: set_variable] :
( ( ( sup_sup_set_variable @ SV149 )
= ( ^ [SY582: set_variable] : ( sup_sup_set_variable @ SY582 @ SV149 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[870]) ).
thf(994,plain,
! [SV241: set_variable,SV150: set_variable,SV30: set_variable] :
( ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV30 @ SV150 ) @ SV241 )
= ( sup_sup_set_variable @ SV30 @ ( sup_sup_set_variable @ SV150 @ SV241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(995,plain,
! [SV242: set_variable,SV151: set_variable,SV31: set_variable] :
( ( ( sup_sup_set_variable @ SV31 @ ( sup_sup_set_variable @ SV151 @ SV242 ) )
= ( sup_sup_set_variable @ SV151 @ ( sup_sup_set_variable @ SV31 @ SV242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(996,plain,
! [SV243: set_variable,SV153: set_variable,SV33: set_variable] :
( ( ( sup_sup_set_variable @ SV33 @ ( sup_sup_set_variable @ SV153 @ SV243 ) )
= ( sup_sup_set_variable @ SV153 @ ( sup_sup_set_variable @ SV33 @ SV243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(997,plain,
! [SV155: set_variable] :
( ( ! [SV244: set_variable] :
( ( sup_sup_set_variable @ SV155 @ SV244 )
= ( sup_sup_set_variable @ SV244 @ SV155 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[876]) ).
thf(998,plain,
! [SV155: set_variable] :
( ( ( sup_sup_set_variable @ SV155 )
= ( ^ [SY586: set_variable] : ( sup_sup_set_variable @ SY586 @ SV155 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[876]) ).
thf(999,plain,
! [SV245: set_variable,SV156: set_variable,SV37: set_variable] :
( ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ SV37 @ SV156 ) @ SV245 )
= ( sup_sup_set_variable @ SV37 @ ( sup_sup_set_variable @ SV156 @ SV245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(1000,plain,
! [SV158: variable > real] :
( ( ! [SV246: variable > real] :
( ( denota1419872369iation @ SV158 @ SV246 )
= ( denota1419872369iation @ SV246 @ SV158 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(1001,plain,
! [SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 )
= ( ^ [SY588: variable > real] : ( denota1419872369iation @ SY588 @ SV158 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(1002,plain,
! [SV159: variable,SV40: variable] :
( ( ~ ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 = SV159 ) )
| ~ ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 != SV159 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[880]) ).
thf(1003,plain,
! [SV159: variable,SV40: variable] :
( ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= ( SV40 = SV159 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[880]) ).
thf(1004,plain,
! [SV160: variable] :
( ( ! [SV247: set_variable] :
( ( insert_variable @ SV160 @ SV247 )
= ( sup_sup_set_variable @ ( insert_variable @ SV160 @ bot_bot_set_variable ) @ SV247 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[881]) ).
thf(1005,plain,
! [SV160: variable] :
( ( ( insert_variable @ SV160 )
= ( sup_sup_set_variable @ ( insert_variable @ SV160 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[881]) ).
thf(1006,plain,
! [SV161: char,SV44: char] :
( ( ~ ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
| ( SV44 = SV161 ) )
| ~ ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
| ( SV44 != SV161 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[882]) ).
thf(1007,plain,
! [SV161: char,SV44: char] :
( ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= ( SV44 = SV161 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[882]) ).
thf(1008,plain,
! [SV162: char,SV45: char] :
( ( ~ ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
| ( SV45 = SV162 ) )
| ~ ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
| ( SV45 != SV162 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[883]) ).
thf(1009,plain,
! [SV162: char,SV45: char] :
( ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= ( SV45 = SV162 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[883]) ).
thf(1010,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(1011,plain,
! [SV48: real] :
( ( ( ~ ( ( zero_zero_real = SV48 )
| ( SV48 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( zero_zero_real != SV48 )
| ( SV48 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(1012,plain,
! [SV164: variable] :
( ( ~ ( ( bot_bot_variable_o @ SV164 )
| ( member_variable @ SV164 @ bot_bot_set_variable ) )
| ~ ( ~ ( bot_bot_variable_o @ SV164 )
| ~ ( member_variable @ SV164 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(1013,plain,
! [SV164: variable] :
( ( ( bot_bot_variable_o @ SV164 )
= ( member_variable @ SV164 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(1014,plain,
! [SV50: variable > $o] :
( ( ( ~ ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
| ( SV50 = bot_bot_variable_o ) ) )
= $true )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(1015,plain,
! [SV165: set_variable] :
( ( ~ ( ( is_sin155454833riable @ SV165 )
| ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) )
| ~ ( ~ ( is_sin155454833riable @ SV165 )
| ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[890]) ).
thf(1016,plain,
! [SV165: set_variable] :
( ( ( is_sin155454833riable @ SV165 )
= ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[890]) ).
thf(1017,plain,
! [SV166: set_variable] :
( ( ~ ( ( is_empty_variable @ SV166 )
| ( SV166 = bot_bot_set_variable ) )
| ~ ( ~ ( is_empty_variable @ SV166 )
| ( SV166 != bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[891]) ).
thf(1018,plain,
! [SV166: set_variable] :
( ( ( is_empty_variable @ SV166 )
= ( SV166 = bot_bot_set_variable ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[891]) ).
thf(1019,plain,
! [SV249: real,SV167: variable,SV58: variable > real] :
( ( denota1419872369iation @ SV58 @ ( denotational_repv @ SV58 @ SV167 @ SV249 ) @ ( insert_variable @ SV167 @ bot_bot_set_variable ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(1020,plain,
! [SV250: set_variable,SV170: variable > real,SV61: set_variable_real] :
( ( ! [SY699: set_variable] :
( ( static_selectlike @ ( static_selectlike @ SV61 @ SV170 @ SV250 ) @ SV170 @ SY699 )
= ( static_selectlike @ SV61 @ SV170 @ ( sup_sup_set_variable @ SV250 @ SY699 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(1021,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= ( SV251
= ( SV63 @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(1022,plain,
! [SV64: option_variable] :
( ( ( ~ ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
| ( SV64 = none_variable ) ) )
= $true )
| ( ( ~ ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
| ( SV64 != none_variable ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(1023,plain,
! [SV252: real,SV173: variable,SV66: variable > real] :
( ( denotational_Vagree @ SV66 @ ( denotational_repv @ SV66 @ SV173 @ SV252 ) @ ( uminus1851247844riable @ ( insert_variable @ SV173 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(1024,plain,
! [SV67: real] :
( ( ( ~ ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real = SV67 ) ) )
= $true )
| ( ( ~ ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real != SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(1025,plain,
! [SV68: real] :
( ( ( ~ ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
| ( SV68 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
| ( SV68 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(1026,plain,
! [SV69: real] :
( ( ( ~ ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
| ( SV69 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
| ( SV69 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(1027,plain,
! [SV70: real] :
( ( ( ~ ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
| ( SV70 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
| ( SV70 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(1028,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1029,plain,
! [SV254: set_variable,SV175: variable > real,SV72: variable > real] :
( ( ! [SY700: variable] : ( denotational_Vagree @ ( stateinterpol @ SV72 @ SV175 @ SV254 ) @ ( stateinterpol @ SV72 @ SV175 @ ( insert_variable @ SY700 @ SV254 ) ) @ ( uminus1851247844riable @ ( insert_variable @ SY700 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(1030,plain,
! [SV176: variable > real,SV73: variable > real] :
( ( ! [SV255: variable] :
( ( stateinterpol @ SV73 @ SV176 @ bot_bot_set_variable @ SV255 )
= ( SV176 @ SV255 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(1031,plain,
! [SV176: variable > real,SV73: variable > real] :
( ( ( stateinterpol @ SV73 @ SV176 @ bot_bot_set_variable )
= SV176 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(1032,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $true )
| ~ ( ~ SV74
| ~ $true ) )
= $true )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(1033,plain,
! [SV74: $o] :
( ( ( SV74 = $true )
= $true )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(1034,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[913]) ).
thf(1035,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[913]) ).
thf(1036,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[914]) ).
thf(1037,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[914]) ).
thf(1038,plain,
! [SV256: char,SV177: real > variable > real,SV75: denotational_interp] :
( ( ! [SY701: trm,SY702: real] :
( ~ ( denota1778088425es_ODE @ SV75 @ SV177 @ SV256 @ SY701 )
| ( denotational_Vagree @ ( SV177 @ SY702 ) @ ( SV177 @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ SV256 ) @ ( insert_variable @ ( dVar @ SV256 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1039,plain,
! [SV76: set_variable] :
( ( ( SV76 != bot_bot_set_variable )
= $false )
| ( ( ~ ! [SY424: variable,SY425: variable] :
( ~ ( member_variable @ SY424 @ SV76 )
| ~ ( member_variable @ SY425 @ SV76 )
| ( SY424 = SY425 ) )
| ( is_sin155454833riable @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1040,plain,
! [SV257: real,SV178: variable,SV77: variable > real] :
( ( ! [SY703: set_variable_real] :
( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SY703 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SY703 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1041,plain,
! [SV258: set_variable_real,SV179: set_variable,SV78: variable > real] :
( ( ! [SY704: set_variable_real] :
( ~ ! [SY705: variable > real] :
( ~ ( denota1419872369iation @ SY705 @ SV78 @ ( uminus1851247844riable @ SV179 ) )
| ( ( member_variable_real @ SY705 @ SV258 )
= ( member_variable_real @ SY705 @ SY704 ) ) )
| ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SY704 @ SV78 @ SV179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1042,plain,
! [SV259: set_variable,SV180: variable > real,SV79: variable > real] :
( ( ! [SY706: set_variable] :
( ~ ( denotational_Vagree @ SV79 @ SV180 @ SV259 )
| ~ ( denotational_Vagree @ SV79 @ SV180 @ SY706 )
| ( denotational_Vagree @ SV79 @ SV180 @ ( sup_sup_set_variable @ SV259 @ SY706 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1043,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ! [SY707: set_variable_real] :
( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SY707 @ SV181 @ SV260 ) )
= ( ! [SY708: variable > real] :
( ~ ( denota1419872369iation @ SY708 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY708 @ SV80 )
= ( member_variable_real @ SY708 @ SY707 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1044,plain,
! [SV182: variable,SV81: variable] :
( ( ( ~ ( member_variable @ SV81 @ ( insert_variable @ SV182 @ bot_bot_set_variable ) ) )
= $true )
| ( ( SV81 = SV182 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(1045,plain,
! [SV261: set_variable,SV183: set_variable,SV82: variable] :
( ( ~ ( ~ ~ ( member_variable @ SV82 @ SV183 )
| ( member_variable @ SV82 @ SV261 ) )
| ( member_variable @ SV82 @ ( sup_sup_set_variable @ SV261 @ SV183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1046,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
| ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
| ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[923]) ).
thf(1047,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= ( ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[923]) ).
thf(1048,plain,
! [SV84: set_variable] :
( ( ( ~ ( ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ( SV84 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(1049,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
| ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
| ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[926]) ).
thf(1050,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= ( ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[926]) ).
thf(1051,plain,
! [SV186: set_variable,SV86: variable] :
( ( ( ~ ( member_variable @ SV86 @ SV186 ) )
= $true )
| ( ( ~ ! [SY612: set_variable] :
( ( SV186
!= ( insert_variable @ SV86 @ SY612 ) )
| ( member_variable @ SV86 @ SY612 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1052,plain,
! [SV187: set_variable,SV87: variable] :
( ( ( ~ ( member_variable @ SV87 @ SV187 ) )
= $true )
| ( ( ~ ! [SY613: set_variable] :
~ ~ ( ( SV187
!= ( insert_variable @ SV87 @ SY613 ) )
| ~ ~ ( member_variable @ SV87 @ SY613 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(1053,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) ) )
= ( ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1054,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ! [SY709: set_variable_real] :
( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SY709 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= ( ! [SY710: variable > real] :
( ~ ( denota1419872369iation @ SY710 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY710 @ SV89 )
= ( member_variable_real @ SY710 @ SY709 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1055,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= ( ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1056,plain,
! [SV265: variable,SV191: set_variable,SV91: variable] :
( ( ~ ( member_variable @ SV91 @ SV191 )
| ( member_variable @ SV91 @ ( insert_variable @ SV265 @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1057,plain,
! [SV266: set_variable,SV192: set_variable,SV92: set_variable] :
( ( ! [SY711: set_variable] :
( ( SV92
!= ( sup_sup_set_variable @ SV192 @ SV266 ) )
| ( ( sup_sup_set_variable @ SY711 @ SV92 )
= ( sup_sup_set_variable @ SV192 @ ( sup_sup_set_variable @ SY711 @ SV266 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1058,plain,
! [SV193: variable,SV93: set_variable] :
( ( ( SV93 != bot_bot_set_variable )
= $true )
| ( ( ~ ( member_variable @ SV193 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1059,plain,
! [SV194: set_variable] :
( ( ~ ( ( is_sin155454833riable @ SV194 )
| ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[935]) ).
thf(1060,plain,
! [SV194: set_variable] :
( ( ( is_sin155454833riable @ SV194 )
= ( ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[935]) ).
thf(1061,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ~ ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
| ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[936]) ).
thf(1062,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= ( ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[936]) ).
thf(1063,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
| ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
| ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(1064,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= ( ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(1065,plain,
! [SV267: denotational_interp,SV197: char,SV97: real > variable > real] :
( ( ! [SY712: trm,SY713: denotational_interp,SY714: trm] :
( ~ ! [SY715: variable > real] :
( ~ ( denota1419872369iation @ SY715 @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SV267 @ SY712 @ SY715 )
= ( denota1863255036rm_sem @ SY713 @ SY714 @ SY715 ) ) )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SY712 )
= ( denota1778088425es_ODE @ SY713 @ SV97 @ SV197 @ SY714 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(1066,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= ( ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1067,plain,
! [SV269: set_variable,SV199: variable,SV99: variable] :
( ( ~ ( member_variable @ SV99 @ ( insert_variable @ SV199 @ SV269 ) )
| ~ ( ( SV99 != SV199 ) )
| ( member_variable @ SV99 @ SV269 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1068,plain,
! [SV100: variable] :
( ( ( ! [SY477: char] :
( SV100
!= ( rVar @ SY477 ) ) )
= $false )
| ( ( ~ ! [SY478: char] :
( SV100
!= ( dVar @ SY478 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1069,plain,
! [SV101: set_variable] :
( ( ( is_sin155454833riable @ SV101 )
= $false )
| ( ( ~ ! [SY479: variable] :
( SV101
!= ( insert_variable @ SY479 @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1070,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ~ ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
| ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[943]) ).
thf(1071,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= ( ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[943]) ).
thf(1072,plain,
! [SV103: real > variable > real,SV201: char,SV270: denotational_interp] :
( ( ! [SY716: trm,SY717: denotational_interp,SY718: trm] :
( ~ ( ~ ( denota1419872369iation @ ( rr @ SY718 @ SY717 @ SY716 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV270 @ SY716 @ ( rr @ SY718 @ SY717 @ SY716 @ SV270 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SY717 @ SY718 @ ( rr @ SY718 @ SY717 @ SY716 @ SV270 @ SV201 @ SV103 ) ) ) ) )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SY716 )
= ( denota1778088425es_ODE @ SY717 @ SV103 @ SV201 @ SY718 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1073,plain,
! [SV271: variable,SV202: variable,SV104: variable] :
( ( ! [SY719: variable] :
( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SY719 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SV104 != SV271 )
| ( SV202 != SY719 ) )
| ~ ( ( SV104 != SY719 )
| ( SV202 != SV271 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1074,plain,
! [SV272: variable,SV203: set_variable,SV105: variable] :
( ( ~ ( ~ ~ ( member_variable @ SV105 @ SV203 )
| ( SV105 = SV272 ) )
| ( member_variable @ SV105 @ ( insert_variable @ SV272 @ SV203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1075,plain,
! [SV273: set_variable,SV204: variable > real,SV106: real > variable > real] :
( ( ! [SY720: denotational_interp,SY721: char,SY722: trm,SY723: real] :
( ~ ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 )
| ~ ( denota1778088425es_ODE @ SY720 @ SV106 @ SY721 @ SY722 )
| ( denota1419872369iation @ ( SV106 @ SY723 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SY721 ) @ ( insert_variable @ ( dVar @ SY721 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1076,plain,
! [SV274: set_variable,SV205: set_variable,SV107: set_variable] :
( ( ! [SY724: set_variable] :
( ( SV107
!= ( sup_sup_set_variable @ SV205 @ SV274 ) )
| ( ( sup_sup_set_variable @ SV107 @ SY724 )
= ( sup_sup_set_variable @ SV205 @ ( sup_sup_set_variable @ SV274 @ SY724 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1077,plain,
! [SV206: variable,SV108: variable] :
( ( ( ( insert_variable @ SV108 @ bot_bot_set_variable )
!= ( insert_variable @ SV206 @ bot_bot_set_variable ) )
= $true )
| ( ( SV108 = SV206 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1078,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ~ ~ ( member_variable @ SV109 @ SV207 )
| ~ ~ ( member_variable @ SV109 @ SV275 )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= ( SV207 = SV275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1079,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1080,plain,
! [SV277: variable > real,SV209: variable,SV111: variable] :
( ( ! [SY725: real,SY726: set_variable_real] :
( ~ ( ( SV111 != SV209 ) )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SY725 ) @ SY726 )
= ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SY725 ) @ ( static_selectlike @ SY726 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1081,plain,
! [SV210: variable > real] :
( ( ! [SV278: variable > real] :
( ( denota1419872369iation @ SV210 @ SV278 )
= ( ^ [SY727: set_variable] :
! [SY728: variable] :
( ~ ~ ( member_variable @ SY728 @ SY727 )
| ( ( SV210 @ SY728 )
= ( SV278 @ SY728 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[953]) ).
thf(1082,plain,
! [SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 )
= ( ^ [SY649: variable > real,SY650: set_variable] :
! [SY651: variable] :
( ~ ~ ( member_variable @ SY651 @ SY650 )
| ( ( SV210 @ SY651 )
= ( SY649 @ SY651 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[953]) ).
thf(1083,plain,
! [SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ! [SY729: set_variable] :
( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SY729 ) ) )
= ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SY729 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1084,plain,
! [SV280: set_variable,SV212: variable > real,SV114: variable > real] :
( ( ! [SY730: variable > real,SY731: set_variable] :
( ~ ( denota1419872369iation @ SV114 @ SV212 @ SV280 )
| ~ ( denota1419872369iation @ SV212 @ SY730 @ SY731 )
| ( denota1419872369iation @ SV114 @ SY730 @ ( sup_sup_set_variable @ SV280 @ SY731 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1085,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1086,plain,
! [SV282: set_variable_real,SV214: set_variable,SV116: variable > real] :
( ( ! [SY732: set_variable_real] :
( ~ ! [SY733: variable > real] :
( ~ ( denota1419872369iation @ SY733 @ SV116 @ SV214 )
| ( ( member_variable_real @ SY733 @ SV282 )
= ( member_variable_real @ SY733 @ SY732 ) ) )
| ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SY732 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1087,plain,
! [SV283: set_variable,SV215: set_variable,SV117: variable] :
( ( ~ ( member_variable @ SV117 @ SV215 )
| ( member_variable @ SV117 @ ( sup_sup_set_variable @ SV215 @ SV283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1088,plain,
! [SV284: set_variable,SV216: set_variable,SV118: variable] :
( ( ~ ( member_variable @ SV118 @ SV216 )
| ( member_variable @ SV118 @ ( sup_sup_set_variable @ SV284 @ SV216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1089,plain,
! [SV217: set_variable,SV119: variable] :
( ( ( insert_variable @ SV119 @ SV217 )
= bot_bot_set_variable )
= $false ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1090,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1091,plain,
! [SV286: set_variable,SV219: variable > real,SV121: variable > real] :
( ( ! [SY737: trm,SY738: denotational_interp] :
( ~ ( denota1419872369iation @ SV121 @ SV219 @ SV286 )
| ( ( inf_inf_set_variable @ ( static_FVT @ SY737 ) @ SV286 )
!= bot_bot_set_variable )
| ( ( denota1863255036rm_sem @ SY738 @ SY737 @ SV121 )
= ( denota1863255036rm_sem @ SY738 @ SY737 @ SV219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1092,plain,
! [SV220: variable,SV122: variable > $o] :
( ( ( ~ ! [SY540: char] : ( SV122 @ ( rVar @ SY540 ) ) )
= $true )
| ( ( ~ ! [SY541: char] : ( SV122 @ ( dVar @ SY541 ) )
| ( SV122 @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1093,plain,
! [SV221: set_variable,SV123: variable] :
( ( ( ~ ( member_variable @ SV123 @ SV221 ) )
= $true )
| ( ( ( insert_variable @ SV123 @ SV221 )
= SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(1094,plain,
! [SV124: set_variable] :
( ( ( ! [SY543: variable] :
~ ( member_variable @ SY543 @ SV124 ) )
= $false )
| ( ( SV124 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1095,plain,
! [SV287: variable > real,SV222: variable,SV125: variable] :
( ( ! [SY739: real,SY740: set_variable_real] :
( ~ ( ( SV125 != SV222 ) )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SY739 ) @ ( static_selectlike @ SY740 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SY739 ) @ SY740 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(1096,plain,
! [SV288: variable,SV223: set_variable,SV126: variable] :
( ( ! [SY741: set_variable] :
( ~ ~ ( member_variable @ SV126 @ SV223 )
| ~ ~ ( member_variable @ SV288 @ SY741 )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SY741 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SY741 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY742: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY742 ) )
| ~ ~ ( member_variable @ SV288 @ SY742 ) )
| ( SY741
!= ( insert_variable @ SV126 @ SY742 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY742 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1097,plain,
( ( ! [SY678: trm,SY679: denotational_interp,SY680: trm,SY681: denotational_interp,SY682: char,SY683: real > variable > real] :
( ( ~ ! [SX7: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SX7 @ ( SY683 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY682 ) @ ( insert_variable @ ( dVar @ SY682 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY681 @ SY680 @ SX7 )
!= ( denota1863255036rm_sem @ SY679 @ SY678 @ SX7 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SY678 @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 ) @ ( SY683 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY682 ) @ ( insert_variable @ ( dVar @ SY682 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY681 @ SY680 @ ( sK1_SX0 @ SY678 @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 ) )
!= ( denota1863255036rm_sem @ SY679 @ SY678 @ ( sK1_SX0 @ SY678 @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1098,plain,
! [SV224: char,SV127: char] :
( ( ( rVar @ SV127 )
= ( dVar @ SV224 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1099,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm] :
( ( ! [SY743: denotational_interp,SY744: char,SY745: real > variable > real] :
( ( ~ ! [SY746: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY746 @ ( SY745 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY744 ) @ ( insert_variable @ ( dVar @ SY744 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY743 @ SV289 @ SY746 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY746 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SY743 @ SY744 @ SY745 ) @ ( SY745 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY744 ) @ ( insert_variable @ ( dVar @ SY744 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY743 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SY743 @ SY744 @ SY745 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SY743 @ SY744 @ SY745 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1100,plain,
! [SV290: set_variable,SV226: set_variable,SV129: variable] :
( ( ~ ( member_variable @ SV129 @ ( sup_sup_set_variable @ SV226 @ SV290 ) )
| ~ ~ ( member_variable @ SV129 @ SV226 )
| ( member_variable @ SV129 @ SV290 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1101,plain,
! [SV291: set_variable,SV227: variable > real,SV130: variable > real] :
( ( ~ ( denota1419872369iation @ SV130 @ SV227 @ SV291 )
| ( denota1419872369iation @ SV227 @ SV130 @ SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1102,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= ( ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1103,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1104,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ~ ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 = SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1105,plain,
! [SV8: variable > $o] :
( ( ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
| ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1106,plain,
! [SV9: variable > $o] :
( ( ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
| ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1107,plain,
! [SV10: set_variable] :
( ( ( ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 = bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(1108,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ~ ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) )
| ~ ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[982]) ).
thf(1109,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[982]) ).
thf(1110,plain,
! [SV294: set_variable,SV145: set_variable] :
( ( ( sup_sup_set_variable @ SV145 @ SV294 )
= ( sup_sup_set_variable @ SV294 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1111,plain,
! [SV295: set_variable,SV146: set_variable] :
( ( ( sup_sup_set_variable @ SV146 @ SV295 )
= ( sup_sup_set_variable @ SV295 @ SV146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1112,plain,
! [SV296: set_variable,SV149: set_variable] :
( ( ( sup_sup_set_variable @ SV149 @ SV296 )
= ( sup_sup_set_variable @ SV296 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1113,plain,
! [SV297: set_variable,SV155: set_variable] :
( ( ( sup_sup_set_variable @ SV155 @ SV297 )
= ( sup_sup_set_variable @ SV297 @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1114,plain,
! [SV298: variable > real,SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 @ SV298 )
= ( denota1419872369iation @ SV298 @ SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1115,plain,
! [SV159: variable,SV40: variable] :
( ( ( ~ ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 = SV159 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 != SV159 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1116,plain,
! [SV299: set_variable,SV160: variable] :
( ( ( insert_variable @ SV160 @ SV299 )
= ( sup_sup_set_variable @ ( insert_variable @ SV160 @ bot_bot_set_variable ) @ SV299 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1117,plain,
! [SV161: char,SV44: char] :
( ( ( ~ ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
| ( SV44 = SV161 ) ) )
= $true )
| ( ( ~ ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
| ( SV44 != SV161 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1118,plain,
! [SV162: char,SV45: char] :
( ( ( ~ ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
| ( SV45 = SV162 ) ) )
= $true )
| ( ( ~ ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
| ( SV45 != SV162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1119,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ~ ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) )
| ~ ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1010]) ).
thf(1120,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1010]) ).
thf(1121,plain,
! [SV48: real] :
( ( ( ( zero_zero_real = SV48 )
| ( SV48 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( zero_zero_real != SV48 )
| ( SV48 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1122,plain,
! [SV164: variable] :
( ( ( ~ ( ( bot_bot_variable_o @ SV164 )
| ( member_variable @ SV164 @ bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ~ ( bot_bot_variable_o @ SV164 )
| ~ ( member_variable @ SV164 @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1123,plain,
! [SV50: variable > $o] :
( ( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
| ( SV50 = bot_bot_variable_o ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1124,plain,
! [SV165: set_variable] :
( ( ( ~ ( ( is_sin155454833riable @ SV165 )
| ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV165 )
| ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1125,plain,
! [SV166: set_variable] :
( ( ( ~ ( ( is_empty_variable @ SV166 )
| ( SV166 = bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ~ ( is_empty_variable @ SV166 )
| ( SV166 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1126,plain,
! [SV300: set_variable,SV250: set_variable,SV170: variable > real,SV61: set_variable_real] :
( ( ( static_selectlike @ ( static_selectlike @ SV61 @ SV170 @ SV250 ) @ SV170 @ SV300 )
= ( static_selectlike @ SV61 @ SV170 @ ( sup_sup_set_variable @ SV250 @ SV300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1127,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ~ ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
= ( SV63 @ SV171 ) ) )
| ~ ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
!= ( SV63 @ SV171 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1021]) ).
thf(1128,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= ( SV251
= ( SV63 @ SV171 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1021]) ).
thf(1129,plain,
! [SV64: option_variable] :
( ( ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
| ( SV64 = none_variable ) )
= $false )
| ( ( ~ ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
| ( SV64 != none_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1130,plain,
! [SV67: real] :
( ( ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real = SV67 ) )
= $false )
| ( ( ~ ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real != SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1131,plain,
! [SV68: real] :
( ( ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
| ( SV68 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
| ( SV68 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1132,plain,
! [SV69: real] :
( ( ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
| ( SV69 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
| ( SV69 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1133,plain,
! [SV70: real] :
( ( ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
| ( SV70 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
| ( SV70 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1134,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ~ ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) )
| ~ ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1028]) ).
thf(1135,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1028]) ).
thf(1136,plain,
! [SV301: variable,SV254: set_variable,SV175: variable > real,SV72: variable > real] :
( ( denotational_Vagree @ ( stateinterpol @ SV72 @ SV175 @ SV254 ) @ ( stateinterpol @ SV72 @ SV175 @ ( insert_variable @ SV301 @ SV254 ) ) @ ( uminus1851247844riable @ ( insert_variable @ SV301 @ bot_bot_set_variable ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1029]) ).
thf(1137,plain,
! [SV302: variable,SV176: variable > real,SV73: variable > real] :
( ( ( stateinterpol @ SV73 @ SV176 @ bot_bot_set_variable @ SV302 )
= ( SV176 @ SV302 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1138,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $true ) )
= $true )
| ( ( ~ ( ~ SV74
| ~ $true ) )
= $true )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1139,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false )
| ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1140,plain,
! [SV74: $o] :
( ( ( SV74 = $false )
= $true )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1141,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1142,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1035]) ).
thf(1143,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1035]) ).
thf(1144,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1145,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1037]) ).
thf(1146,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1037]) ).
thf(1147,plain,
! [SV303: trm,SV256: char,SV177: real > variable > real,SV75: denotational_interp] :
( ( ! [SY752: real] :
( ~ ( denota1778088425es_ODE @ SV75 @ SV177 @ SV256 @ SV303 )
| ( denotational_Vagree @ ( SV177 @ SY752 ) @ ( SV177 @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ SV256 ) @ ( insert_variable @ ( dVar @ SV256 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1148,plain,
! [SV76: set_variable] :
( ( ( SV76 = bot_bot_set_variable )
= $true )
| ( ( ~ ! [SY424: variable,SY425: variable] :
( ~ ( member_variable @ SY424 @ SV76 )
| ~ ( member_variable @ SY425 @ SV76 )
| ( SY424 = SY425 ) )
| ( is_sin155454833riable @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1149,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1150,plain,
! [SV305: set_variable_real,SV258: set_variable_real,SV179: set_variable,SV78: variable > real] :
( ( ~ ! [SY753: variable > real] :
( ~ ( denota1419872369iation @ SY753 @ SV78 @ ( uminus1851247844riable @ SV179 ) )
| ( ( member_variable_real @ SY753 @ SV258 )
= ( member_variable_real @ SY753 @ SV305 ) ) )
| ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1151,plain,
! [SV306: set_variable,SV259: set_variable,SV180: variable > real,SV79: variable > real] :
( ( ~ ( denotational_Vagree @ SV79 @ SV180 @ SV259 )
| ~ ( denotational_Vagree @ SV79 @ SV180 @ SV306 )
| ( denotational_Vagree @ SV79 @ SV180 @ ( sup_sup_set_variable @ SV259 @ SV306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1042]) ).
thf(1152,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= ( ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1153,plain,
! [SV182: variable,SV81: variable] :
( ( ( member_variable @ SV81 @ ( insert_variable @ SV182 @ bot_bot_set_variable ) )
= $false )
| ( ( SV81 = SV182 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1154,plain,
! [SV261: set_variable,SV183: set_variable,SV82: variable] :
( ( ( ~ ( ~ ~ ( member_variable @ SV82 @ SV183 )
| ( member_variable @ SV82 @ SV261 ) ) )
= $true )
| ( ( member_variable @ SV82 @ ( sup_sup_set_variable @ SV261 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1155,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
| ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1156,plain,
! [SV84: set_variable] :
( ( ( ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ( SV84 != bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1157,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
| ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1158,plain,
! [SV186: set_variable,SV86: variable] :
( ( ( member_variable @ SV86 @ SV186 )
= $false )
| ( ( ~ ! [SY612: set_variable] :
( ( SV186
!= ( insert_variable @ SV86 @ SY612 ) )
| ( member_variable @ SV86 @ SY612 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1159,plain,
! [SV187: set_variable,SV87: variable] :
( ( ( member_variable @ SV87 @ SV187 )
= $false )
| ( ( ~ ! [SY613: set_variable] :
~ ~ ( ( SV187
!= ( insert_variable @ SV87 @ SY613 ) )
| ~ ~ ( member_variable @ SV87 @ SY613 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1160,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ~ ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
| ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1161,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) ) )
= ( ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1162,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= ( ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1163,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ~ ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
| ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1164,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= ( ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1165,plain,
! [SV265: variable,SV191: set_variable,SV91: variable] :
( ( ( ~ ( member_variable @ SV91 @ SV191 ) )
= $true )
| ( ( member_variable @ SV91 @ ( insert_variable @ SV265 @ SV191 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1166,plain,
! [SV309: set_variable,SV266: set_variable,SV192: set_variable,SV92: set_variable] :
( ( ( SV92
!= ( sup_sup_set_variable @ SV192 @ SV266 ) )
| ( ( sup_sup_set_variable @ SV309 @ SV92 )
= ( sup_sup_set_variable @ SV192 @ ( sup_sup_set_variable @ SV309 @ SV266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1167,plain,
! [SV193: variable,SV93: set_variable] :
( ( ( SV93 = bot_bot_set_variable )
= $false )
| ( ( ~ ( member_variable @ SV193 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1168,plain,
! [SV194: set_variable] :
( ( ( ~ ( ( is_sin155454833riable @ SV194 )
| ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1169,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ~ ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1170,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
| ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1171,plain,
! [SV310: trm,SV267: denotational_interp,SV197: char,SV97: real > variable > real] :
( ( ! [SY756: denotational_interp,SY757: trm] :
( ~ ! [SY758: variable > real] :
( ~ ( denota1419872369iation @ SY758 @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SV267 @ SV310 @ SY758 )
= ( denota1863255036rm_sem @ SY756 @ SY757 @ SY758 ) ) )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SY756 @ SV97 @ SV197 @ SY757 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1172,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ~ ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
| ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1066]) ).
thf(1173,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= ( ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1066]) ).
thf(1174,plain,
! [SV269: set_variable,SV199: variable,SV99: variable] :
( ( ( ~ ( member_variable @ SV99 @ ( insert_variable @ SV199 @ SV269 ) ) )
= $true )
| ( ( ~ ( ( SV99 != SV199 ) )
| ( member_variable @ SV99 @ SV269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1175,plain,
! [SV100: variable] :
( ( ( SV100
!= ( rVar @ ( sK2_SY477 @ SV100 ) ) )
= $false )
| ( ( ~ ! [SY478: char] :
( SV100
!= ( dVar @ SY478 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1068]) ).
thf(1176,plain,
! [SV101: set_variable] :
( ( ( ! [SY479: variable] :
( SV101
!= ( insert_variable @ SY479 @ bot_bot_set_variable ) ) )
= $false )
| ( ( is_sin155454833riable @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1177,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ~ ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1178,plain,
! [SV103: real > variable > real,SV201: char,SV270: denotational_interp,SV311: trm] :
( ( ! [SY759: denotational_interp,SY760: trm] :
( ~ ( ~ ( denota1419872369iation @ ( rr @ SY760 @ SY759 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SY760 @ SY759 @ SV311 @ SV270 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SY759 @ SY760 @ ( rr @ SY760 @ SY759 @ SV311 @ SV270 @ SV201 @ SV103 ) ) ) ) )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SY759 @ SV103 @ SV201 @ SY760 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1179,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1180,plain,
! [SV272: variable,SV203: set_variable,SV105: variable] :
( ( ( ~ ( ~ ~ ( member_variable @ SV105 @ SV203 )
| ( SV105 = SV272 ) ) )
= $true )
| ( ( member_variable @ SV105 @ ( insert_variable @ SV272 @ SV203 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1181,plain,
! [SV313: denotational_interp,SV273: set_variable,SV204: variable > real,SV106: real > variable > real] :
( ( ! [SY761: char,SY762: trm,SY763: real] :
( ~ ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 )
| ~ ( denota1778088425es_ODE @ SV313 @ SV106 @ SY761 @ SY762 )
| ( denota1419872369iation @ ( SV106 @ SY763 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SY761 ) @ ( insert_variable @ ( dVar @ SY761 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1182,plain,
! [SV314: set_variable,SV274: set_variable,SV205: set_variable,SV107: set_variable] :
( ( ( SV107
!= ( sup_sup_set_variable @ SV205 @ SV274 ) )
| ( ( sup_sup_set_variable @ SV107 @ SV314 )
= ( sup_sup_set_variable @ SV205 @ ( sup_sup_set_variable @ SV274 @ SV314 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1183,plain,
! [SV206: variable,SV108: variable] :
( ( ( ( insert_variable @ SV108 @ bot_bot_set_variable )
= ( insert_variable @ SV206 @ bot_bot_set_variable ) )
= $false )
| ( ( SV108 = SV206 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1184,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ~ ~ ( member_variable @ SV109 @ SV207 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV109 @ SV275 )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= ( SV207 = SV275 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1185,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
| ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1079]) ).
thf(1186,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1079]) ).
thf(1187,plain,
! [SV315: real,SV277: variable > real,SV209: variable,SV111: variable] :
( ( ! [SY764: set_variable_real] :
( ~ ( ( SV111 != SV209 ) )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SY764 )
= ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SY764 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1188,plain,
! [SV316: variable > real,SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 @ SV316 )
= ( ^ [SY765: set_variable] :
! [SY766: variable] :
( ~ ~ ( member_variable @ SY766 @ SY765 )
| ( ( SV210 @ SY766 )
= ( SV316 @ SY766 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1189,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) ) )
= ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1190,plain,
! [SV318: variable > real,SV280: set_variable,SV212: variable > real,SV114: variable > real] :
( ( ! [SY767: set_variable] :
( ~ ( denota1419872369iation @ SV114 @ SV212 @ SV280 )
| ~ ( denota1419872369iation @ SV212 @ SV318 @ SY767 )
| ( denota1419872369iation @ SV114 @ SV318 @ ( sup_sup_set_variable @ SV280 @ SY767 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1191,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
| ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1085]) ).
thf(1192,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1085]) ).
thf(1193,plain,
! [SV319: set_variable_real,SV282: set_variable_real,SV214: set_variable,SV116: variable > real] :
( ( ~ ! [SY768: variable > real] :
( ~ ( denota1419872369iation @ SY768 @ SV116 @ SV214 )
| ( ( member_variable_real @ SY768 @ SV282 )
= ( member_variable_real @ SY768 @ SV319 ) ) )
| ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1194,plain,
! [SV283: set_variable,SV215: set_variable,SV117: variable] :
( ( ( ~ ( member_variable @ SV117 @ SV215 ) )
= $true )
| ( ( member_variable @ SV117 @ ( sup_sup_set_variable @ SV215 @ SV283 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1195,plain,
! [SV284: set_variable,SV216: set_variable,SV118: variable] :
( ( ( ~ ( member_variable @ SV118 @ SV216 ) )
= $true )
| ( ( member_variable @ SV118 @ ( sup_sup_set_variable @ SV284 @ SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1196,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ~ ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
| ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1090]) ).
thf(1197,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1090]) ).
thf(1198,plain,
! [SV320: trm,SV286: set_variable,SV219: variable > real,SV121: variable > real] :
( ( ! [SY769: denotational_interp] :
( ~ ( denota1419872369iation @ SV121 @ SV219 @ SV286 )
| ( ( inf_inf_set_variable @ ( static_FVT @ SV320 ) @ SV286 )
!= bot_bot_set_variable )
| ( ( denota1863255036rm_sem @ SY769 @ SV320 @ SV121 )
= ( denota1863255036rm_sem @ SY769 @ SV320 @ SV219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1199,plain,
! [SV220: variable,SV122: variable > $o] :
( ( ( ! [SY540: char] : ( SV122 @ ( rVar @ SY540 ) ) )
= $false )
| ( ( ~ ! [SY541: char] : ( SV122 @ ( dVar @ SY541 ) )
| ( SV122 @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1200,plain,
! [SV221: set_variable,SV123: variable] :
( ( ( member_variable @ SV123 @ SV221 )
= $false )
| ( ( ( insert_variable @ SV123 @ SV221 )
= SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1201,plain,
! [SV124: set_variable] :
( ( ( ~ ( member_variable @ ( sK3_SY543 @ SV124 ) @ SV124 ) )
= $false )
| ( ( SV124 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1094]) ).
thf(1202,plain,
! [SV321: real,SV287: variable > real,SV222: variable,SV125: variable] :
( ( ! [SY770: set_variable_real] :
( ~ ( ( SV125 != SV222 ) )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SY770 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SY770 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1203,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ~ ~ ( member_variable @ SV126 @ SV223 )
| ~ ~ ( member_variable @ SV288 @ SV322 )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1204,plain,
! [SV323: trm] :
( ( ! [SY772: denotational_interp,SY773: trm,SY774: denotational_interp,SY775: char,SY776: real > variable > real] :
( ( ~ ! [SY777: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY777 @ ( SY776 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY775 ) @ ( insert_variable @ ( dVar @ SY775 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY774 @ SY773 @ SY777 )
!= ( denota1863255036rm_sem @ SY772 @ SV323 @ SY777 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SY772 @ SY773 @ SY774 @ SY775 @ SY776 ) @ ( SY776 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY775 ) @ ( insert_variable @ ( dVar @ SY775 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY774 @ SY773 @ ( sK1_SX0 @ SV323 @ SY772 @ SY773 @ SY774 @ SY775 @ SY776 ) )
!= ( denota1863255036rm_sem @ SY772 @ SV323 @ ( sK1_SX0 @ SV323 @ SY772 @ SY773 @ SY774 @ SY775 @ SY776 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1205,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp] :
( ( ! [SY778: char,SY779: real > variable > real] :
( ( ~ ! [SY780: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY780 @ ( SY779 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY778 ) @ ( insert_variable @ ( dVar @ SY778 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY780 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY780 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SY778 @ SY779 ) @ ( SY779 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY778 ) @ ( insert_variable @ ( dVar @ SY778 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SY778 @ SY779 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SY778 @ SY779 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1206,plain,
! [SV290: set_variable,SV226: set_variable,SV129: variable] :
( ( ( ~ ( member_variable @ SV129 @ ( sup_sup_set_variable @ SV226 @ SV290 ) ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV129 @ SV226 )
| ( member_variable @ SV129 @ SV290 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1207,plain,
! [SV291: set_variable,SV227: variable > real,SV130: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV130 @ SV227 @ SV291 ) )
= $true )
| ( ( denota1419872369iation @ SV227 @ SV130 @ SV291 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1101]) ).
thf(1208,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ~ ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
| ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1102]) ).
thf(1209,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= ( ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1102]) ).
thf(1210,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ~ ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
| ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1103]) ).
thf(1211,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1103]) ).
thf(1212,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 = SV133 ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1213,plain,
! [SV8: variable > $o] :
( ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1214,plain,
! [SV8: variable > $o] :
( ( ( ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1215,plain,
! [SV9: variable > $o] :
( ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1216,plain,
! [SV9: variable > $o] :
( ( ( ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1217,plain,
! [SV10: set_variable] :
( ( ( ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 ) )
= $false )
| ( ( ~ ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1218,plain,
! [SV10: set_variable] :
( ( ( SV10 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1219,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1220,plain,
! [SV298: variable > real,SV158: variable > real] :
( ( ! [SV325: set_variable] :
( ( denota1419872369iation @ SV158 @ SV298 @ SV325 )
= ( denota1419872369iation @ SV298 @ SV158 @ SV325 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1114]) ).
thf(1221,plain,
! [SV298: variable > real,SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 @ SV298 )
= ( denota1419872369iation @ SV298 @ SV158 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1114]) ).
thf(1222,plain,
! [SV159: variable,SV40: variable] :
( ( ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 = SV159 ) )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 != SV159 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1223,plain,
! [SV161: char,SV44: char] :
( ( ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
| ( SV44 = SV161 ) )
= $false )
| ( ( ~ ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
| ( SV44 != SV161 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1224,plain,
! [SV162: char,SV45: char] :
( ( ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
| ( SV45 = SV162 ) )
= $false )
| ( ( ~ ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
| ( SV45 != SV162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1225,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1226,plain,
! [SV48: real] :
( ( ( zero_zero_real = SV48 )
= $false )
| ( ( ~ ( ( zero_zero_real != SV48 )
| ( SV48 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1121]) ).
thf(1227,plain,
! [SV48: real] :
( ( ( SV48 = zero_zero_real )
= $false )
| ( ( ~ ( ( zero_zero_real != SV48 )
| ( SV48 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1121]) ).
thf(1228,plain,
! [SV164: variable] :
( ( ( ( bot_bot_variable_o @ SV164 )
| ( member_variable @ SV164 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ~ ( bot_bot_variable_o @ SV164 )
| ~ ( member_variable @ SV164 @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1229,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1230,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1231,plain,
! [SV165: set_variable] :
( ( ( ( is_sin155454833riable @ SV165 )
| ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV165 )
| ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1232,plain,
! [SV166: set_variable] :
( ( ( ( is_empty_variable @ SV166 )
| ( SV166 = bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ~ ( is_empty_variable @ SV166 )
| ( SV166 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1233,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( ~ ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
= ( SV63 @ SV171 ) ) ) )
= $true )
| ( ( ~ ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
!= ( SV63 @ SV171 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1234,plain,
! [SV64: option_variable] :
( ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
| ( SV64 != none_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1235,plain,
! [SV64: option_variable] :
( ( ( SV64 = none_variable )
= $false )
| ( ( ~ ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
| ( SV64 != none_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1236,plain,
! [SV67: real] :
( ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= $false )
| ( ( ~ ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real != SV67 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1237,plain,
! [SV67: real] :
( ( ( zero_zero_real = SV67 )
= $false )
| ( ( ~ ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real != SV67 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1238,plain,
! [SV68: real] :
( ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= $false )
| ( ( ~ ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
| ( SV68 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1239,plain,
! [SV68: real] :
( ( ( SV68 = zero_zero_real )
= $false )
| ( ( ~ ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
| ( SV68 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1240,plain,
! [SV69: real] :
( ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= $false )
| ( ( ~ ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
| ( SV69 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1241,plain,
! [SV69: real] :
( ( ( SV69 = zero_zero_real )
= $false )
| ( ( ~ ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
| ( SV69 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1242,plain,
! [SV70: real] :
( ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= $false )
| ( ( ~ ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
| ( SV70 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1133]) ).
thf(1243,plain,
! [SV70: real] :
( ( ( SV70 = zero_zero_real )
= $false )
| ( ( ~ ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
| ( SV70 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1133]) ).
thf(1244,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( ~ ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) ) )
= $true )
| ( ( ~ ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1245,plain,
! [SV74: $o] :
( ( ( SV74
| $true )
= $false )
| ( ( ~ ( ~ SV74
| ~ $true ) )
= $true )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1246,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false ) )
= $true )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1247,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1248,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1249,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1250,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1251,plain,
! [SV326: real,SV303: trm,SV256: char,SV177: real > variable > real,SV75: denotational_interp] :
( ( ~ ( denota1778088425es_ODE @ SV75 @ SV177 @ SV256 @ SV303 )
| ( denotational_Vagree @ ( SV177 @ SV326 ) @ ( SV177 @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ SV256 ) @ ( insert_variable @ ( dVar @ SV256 ) @ bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1252,plain,
! [SV76: set_variable] :
( ( ( ~ ! [SY424: variable,SY425: variable] :
( ~ ( member_variable @ SY424 @ SV76 )
| ~ ( member_variable @ SY425 @ SV76 )
| ( SY424 = SY425 ) ) )
= $true )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1253,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ~ ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
| ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1149]) ).
thf(1254,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1149]) ).
thf(1255,plain,
! [SV305: set_variable_real,SV258: set_variable_real,SV179: set_variable,SV78: variable > real] :
( ( ( ~ ! [SY753: variable > real] :
( ~ ( denota1419872369iation @ SY753 @ SV78 @ ( uminus1851247844riable @ SV179 ) )
| ( ( member_variable_real @ SY753 @ SV258 )
= ( member_variable_real @ SY753 @ SV305 ) ) ) )
= $true )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1256,plain,
! [SV306: set_variable,SV259: set_variable,SV180: variable > real,SV79: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV79 @ SV180 @ SV259 ) )
= $true )
| ( ( ~ ( denotational_Vagree @ SV79 @ SV180 @ SV306 )
| ( denotational_Vagree @ SV79 @ SV180 @ ( sup_sup_set_variable @ SV259 @ SV306 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1257,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
| ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1152]) ).
thf(1258,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= ( ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1152]) ).
thf(1259,plain,
! [SV261: set_variable,SV183: set_variable,SV82: variable] :
( ( ( ~ ~ ( member_variable @ SV82 @ SV183 )
| ( member_variable @ SV82 @ SV261 ) )
= $false )
| ( ( member_variable @ SV82 @ ( sup_sup_set_variable @ SV261 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1260,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
| ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1261,plain,
! [SV84: set_variable] :
( ( ( ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1262,plain,
! [SV84: set_variable] :
( ( ( SV84 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1263,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
| ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1264,plain,
! [SV86: variable,SV186: set_variable] :
( ( ( ! [SY612: set_variable] :
( ( SV186
!= ( insert_variable @ SV86 @ SY612 ) )
| ( member_variable @ SV86 @ SY612 ) ) )
= $false )
| ( ( member_variable @ SV86 @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1265,plain,
! [SV87: variable,SV187: set_variable] :
( ( ( ! [SY613: set_variable] :
~ ~ ( ( SV187
!= ( insert_variable @ SV87 @ SY613 ) )
| ~ ~ ( member_variable @ SV87 @ SY613 ) ) )
= $false )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1266,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1160]) ).
thf(1267,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
| ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1162]) ).
thf(1268,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= ( ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1162]) ).
thf(1269,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ~ ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1163]) ).
thf(1270,plain,
! [SV265: variable,SV191: set_variable,SV91: variable] :
( ( ( member_variable @ SV91 @ SV191 )
= $false )
| ( ( member_variable @ SV91 @ ( insert_variable @ SV265 @ SV191 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1271,plain,
! [SV309: set_variable,SV266: set_variable,SV192: set_variable,SV92: set_variable] :
( ( ( SV92
!= ( sup_sup_set_variable @ SV192 @ SV266 ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV309 @ SV92 )
= ( sup_sup_set_variable @ SV192 @ ( sup_sup_set_variable @ SV309 @ SV266 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1272,plain,
! [SV93: set_variable,SV193: variable] :
( ( ( member_variable @ SV193 @ SV93 )
= $false )
| ( ( SV93 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1273,plain,
! [SV194: set_variable] :
( ( ( ( is_sin155454833riable @ SV194 )
| ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1274,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1275,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
| ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1276,plain,
! [SV327: denotational_interp,SV310: trm,SV267: denotational_interp,SV197: char,SV97: real > variable > real] :
( ( ! [SY781: trm] :
( ~ ! [SY782: variable > real] :
( ~ ( denota1419872369iation @ SY782 @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SV267 @ SV310 @ SY782 )
= ( denota1863255036rm_sem @ SV327 @ SY781 @ SY782 ) ) )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SY781 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1277,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ~ ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1278,plain,
! [SV269: set_variable,SV199: variable,SV99: variable] :
( ( ( member_variable @ SV99 @ ( insert_variable @ SV199 @ SV269 ) )
= $false )
| ( ( ~ ( ( SV99 != SV199 ) )
| ( member_variable @ SV99 @ SV269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1279,plain,
! [SV100: variable] :
( ( ( SV100
= ( rVar @ ( sK2_SY477 @ SV100 ) ) )
= $true )
| ( ( ~ ! [SY478: char] :
( SV100
!= ( dVar @ SY478 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1280,plain,
! [SV101: set_variable] :
( ( ( SV101
!= ( insert_variable @ ( sK4_SY479 @ SV101 ) @ bot_bot_set_variable ) )
= $false )
| ( ( is_sin155454833riable @ SV101 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1176]) ).
thf(1281,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1282,plain,
! [SV103: real > variable > real,SV201: char,SV270: denotational_interp,SV311: trm,SV328: denotational_interp] :
( ( ! [SY783: trm] :
( ~ ( ~ ( denota1419872369iation @ ( rr @ SY783 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SY783 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SV328 @ SY783 @ ( rr @ SY783 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) ) ) )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SY783 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1283,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
| ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1179]) ).
thf(1284,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1179]) ).
thf(1285,plain,
! [SV272: variable,SV203: set_variable,SV105: variable] :
( ( ( ~ ~ ( member_variable @ SV105 @ SV203 )
| ( SV105 = SV272 ) )
= $false )
| ( ( member_variable @ SV105 @ ( insert_variable @ SV272 @ SV203 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1286,plain,
! [SV329: char,SV313: denotational_interp,SV273: set_variable,SV204: variable > real,SV106: real > variable > real] :
( ( ! [SY784: trm,SY785: real] :
( ~ ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 )
| ~ ( denota1778088425es_ODE @ SV313 @ SV106 @ SV329 @ SY784 )
| ( denota1419872369iation @ ( SV106 @ SY785 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SV329 ) @ ( insert_variable @ ( dVar @ SV329 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1287,plain,
! [SV314: set_variable,SV274: set_variable,SV205: set_variable,SV107: set_variable] :
( ( ( SV107
!= ( sup_sup_set_variable @ SV205 @ SV274 ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV107 @ SV314 )
= ( sup_sup_set_variable @ SV205 @ ( sup_sup_set_variable @ SV274 @ SV314 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1288,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ~ ( member_variable @ SV109 @ SV207 ) )
= $false )
| ( ( ~ ~ ( member_variable @ SV109 @ SV275 )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= ( SV207 = SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1289,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1290,plain,
! [SV330: set_variable_real,SV315: real,SV277: variable > real,SV209: variable,SV111: variable] :
( ( ~ ( ( SV111 != SV209 ) )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1291,plain,
! [SV316: variable > real,SV210: variable > real] :
( ( ! [SV331: set_variable] :
( ( denota1419872369iation @ SV210 @ SV316 @ SV331 )
= ( ! [SY786: variable] :
( ~ ~ ( member_variable @ SY786 @ SV331 )
| ( ( SV210 @ SY786 )
= ( SV316 @ SY786 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1188]) ).
thf(1292,plain,
! [SV316: variable > real,SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 @ SV316 )
= ( ^ [SY765: set_variable] :
! [SY766: variable] :
( ~ ~ ( member_variable @ SY766 @ SY765 )
| ( ( SV210 @ SY766 )
= ( SV316 @ SY766 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1188]) ).
thf(1293,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ~ ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) )
| ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1189]) ).
thf(1294,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) ) )
= ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1189]) ).
thf(1295,plain,
! [SV332: set_variable,SV318: variable > real,SV280: set_variable,SV212: variable > real,SV114: variable > real] :
( ( ~ ( denota1419872369iation @ SV114 @ SV212 @ SV280 )
| ~ ( denota1419872369iation @ SV212 @ SV318 @ SV332 )
| ( denota1419872369iation @ SV114 @ SV318 @ ( sup_sup_set_variable @ SV280 @ SV332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1296,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1297,plain,
! [SV319: set_variable_real,SV282: set_variable_real,SV214: set_variable,SV116: variable > real] :
( ( ( ~ ! [SY768: variable > real] :
( ~ ( denota1419872369iation @ SY768 @ SV116 @ SV214 )
| ( ( member_variable_real @ SY768 @ SV282 )
= ( member_variable_real @ SY768 @ SV319 ) ) ) )
= $true )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1193]) ).
thf(1298,plain,
! [SV283: set_variable,SV215: set_variable,SV117: variable] :
( ( ( member_variable @ SV117 @ SV215 )
= $false )
| ( ( member_variable @ SV117 @ ( sup_sup_set_variable @ SV215 @ SV283 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1299,plain,
! [SV284: set_variable,SV216: set_variable,SV118: variable] :
( ( ( member_variable @ SV118 @ SV216 )
= $false )
| ( ( member_variable @ SV118 @ ( sup_sup_set_variable @ SV284 @ SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1300,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1196]) ).
thf(1301,plain,
! [SV333: denotational_interp,SV320: trm,SV286: set_variable,SV219: variable > real,SV121: variable > real] :
( ( ~ ( denota1419872369iation @ SV121 @ SV219 @ SV286 )
| ( ( inf_inf_set_variable @ ( static_FVT @ SV320 ) @ SV286 )
!= bot_bot_set_variable )
| ( ( denota1863255036rm_sem @ SV333 @ SV320 @ SV121 )
= ( denota1863255036rm_sem @ SV333 @ SV320 @ SV219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1198]) ).
thf(1302,plain,
! [SV220: variable,SV122: variable > $o] :
( ( ( SV122 @ ( rVar @ ( sK5_SY540 @ SV220 @ SV122 ) ) )
= $false )
| ( ( ~ ! [SY541: char] : ( SV122 @ ( dVar @ SY541 ) )
| ( SV122 @ SV220 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1199]) ).
thf(1303,plain,
! [SV124: set_variable] :
( ( ( member_variable @ ( sK3_SY543 @ SV124 ) @ SV124 )
= $true )
| ( ( SV124 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1304,plain,
! [SV334: set_variable_real,SV321: real,SV287: variable > real,SV222: variable,SV125: variable] :
( ( ~ ( ( SV125 != SV222 ) )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1305,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ~ ~ ( member_variable @ SV126 @ SV223 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV288 @ SV322 )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1306,plain,
! [SV323: trm,SV335: denotational_interp] :
( ( ! [SY787: trm,SY788: denotational_interp,SY789: char,SY790: real > variable > real] :
( ( ~ ! [SY791: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY791 @ ( SY790 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY789 ) @ ( insert_variable @ ( dVar @ SY789 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY788 @ SY787 @ SY791 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY791 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SY787 @ SY788 @ SY789 @ SY790 ) @ ( SY790 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY789 ) @ ( insert_variable @ ( dVar @ SY789 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY788 @ SY787 @ ( sK1_SX0 @ SV323 @ SV335 @ SY787 @ SY788 @ SY789 @ SY790 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SY787 @ SY788 @ SY789 @ SY790 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1307,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char] :
( ( ! [SY792: real > variable > real] :
( ( ~ ! [SY793: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY793 @ ( SY792 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY793 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY793 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SY792 ) @ ( SY792 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SY792 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SY792 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1308,plain,
! [SV290: set_variable,SV226: set_variable,SV129: variable] :
( ( ( member_variable @ SV129 @ ( sup_sup_set_variable @ SV226 @ SV290 ) )
= $false )
| ( ( ~ ~ ( member_variable @ SV129 @ SV226 )
| ( member_variable @ SV129 @ SV290 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1309,plain,
! [SV291: set_variable,SV227: variable > real,SV130: variable > real] :
( ( ( denota1419872369iation @ SV130 @ SV227 @ SV291 )
= $false )
| ( ( denota1419872369iation @ SV227 @ SV130 @ SV291 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1310,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1311,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1312,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1313,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 = SV133 )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1314,plain,
! [SV8: variable > $o] :
( ( ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
= $false )
| ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1315,plain,
! [SV8: variable > $o] :
( ( ( ~ ( SV8 @ ( sK6_SY361 @ SV8 ) ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1214]) ).
thf(1316,plain,
! [SV9: variable > $o] :
( ( ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
= $false )
| ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1317,plain,
! [SV9: variable > $o] :
( ( ( ~ ( SV9 @ ( sK7_SY362 @ SV9 ) ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1216]) ).
thf(1318,plain,
! [SV10: set_variable] :
( ( ( ~ ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 ) )
= $false )
| ( ( ~ ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1217]) ).
thf(1319,plain,
! [SV10: set_variable] :
( ( ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) )
= $false )
| ( ( SV10 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1218]) ).
thf(1320,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1321,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1322,plain,
! [SV159: variable,SV40: variable] :
( ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 != SV159 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1323,plain,
! [SV159: variable,SV40: variable] :
( ( ( SV40 = SV159 )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 != SV159 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1324,plain,
! [SV161: char,SV44: char] :
( ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= $false )
| ( ( ~ ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
| ( SV44 != SV161 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1325,plain,
! [SV161: char,SV44: char] :
( ( ( SV44 = SV161 )
= $false )
| ( ( ~ ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
| ( SV44 != SV161 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1326,plain,
! [SV162: char,SV45: char] :
( ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= $false )
| ( ( ~ ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
| ( SV45 != SV162 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1327,plain,
! [SV162: char,SV45: char] :
( ( ( SV45 = SV162 )
= $false )
| ( ( ~ ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
| ( SV45 != SV162 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1328,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1329,plain,
! [SV48: real] :
( ( ( ( zero_zero_real != SV48 )
| ( SV48 != zero_zero_real ) )
= $false )
| ( ( zero_zero_real = SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1330,plain,
! [SV48: real] :
( ( ( ( zero_zero_real != SV48 )
| ( SV48 != zero_zero_real ) )
= $false )
| ( ( SV48 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1331,plain,
! [SV164: variable] :
( ( ( bot_bot_variable_o @ SV164 )
= $false )
| ( ( ~ ( ~ ( bot_bot_variable_o @ SV164 )
| ~ ( member_variable @ SV164 @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1332,plain,
! [SV164: variable] :
( ( ( member_variable @ SV164 @ bot_bot_set_variable )
= $false )
| ( ( ~ ( ~ ( bot_bot_variable_o @ SV164 )
| ~ ( member_variable @ SV164 @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1333,plain,
! [SV50: variable > $o] :
( ( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1334,plain,
! [SV50: variable > $o] :
( ( ( ! [SV338: variable] :
( ( SV50 @ SV338 )
= ( bot_bot_variable_o @ SV338 ) ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1230]) ).
thf(1335,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1230]) ).
thf(1336,plain,
! [SV165: set_variable] :
( ( ( is_sin155454833riable @ SV165 )
= $false )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV165 )
| ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1337,plain,
! [SV165: set_variable] :
( ( ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV165 )
| ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1338,plain,
! [SV166: set_variable] :
( ( ( is_empty_variable @ SV166 )
= $false )
| ( ( ~ ( ~ ( is_empty_variable @ SV166 )
| ( SV166 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1339,plain,
! [SV166: set_variable] :
( ( ( SV166 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ~ ( is_empty_variable @ SV166 )
| ( SV166 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1340,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
= ( SV63 @ SV171 ) ) )
= $false )
| ( ( ~ ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
!= ( SV63 @ SV171 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1341,plain,
! [SV64: option_variable] :
( ( ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
| ( SV64 != none_variable ) )
= $false )
| ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1342,plain,
! [SV64: option_variable] :
( ( ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
| ( SV64 != none_variable ) )
= $false )
| ( ( SV64 = none_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1343,plain,
! [SV67: real] :
( ( ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real != SV67 ) )
= $false )
| ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1344,plain,
! [SV67: real] :
( ( ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
| ( zero_zero_real != SV67 ) )
= $false )
| ( ( zero_zero_real = SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1345,plain,
! [SV68: real] :
( ( ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
| ( SV68 != zero_zero_real ) )
= $false )
| ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1346,plain,
! [SV68: real] :
( ( ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
| ( SV68 != zero_zero_real ) )
= $false )
| ( ( SV68 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1347,plain,
! [SV69: real] :
( ( ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
| ( SV69 != zero_zero_real ) )
= $false )
| ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1348,plain,
! [SV69: real] :
( ( ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
| ( SV69 != zero_zero_real ) )
= $false )
| ( ( SV69 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1349,plain,
! [SV70: real] :
( ( ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
| ( SV70 != zero_zero_real ) )
= $false )
| ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1350,plain,
! [SV70: real] :
( ( ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
| ( SV70 != zero_zero_real ) )
= $false )
| ( ( SV70 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1351,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1352,plain,
! [SV74: $o] :
( ( SV74 = $false )
| ( ( ~ ( ~ SV74
| ~ $true ) )
= $true )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1353,plain,
! [SV74: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV74
| ~ $true ) )
= $true )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1354,plain,
! [SV74: $o] :
( ( ( SV74
| $false )
= $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1355,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1356,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1357,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1358,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1249]) ).
thf(1359,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1249]) ).
thf(1360,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1361,plain,
! [SV326: real,SV303: trm,SV256: char,SV177: real > variable > real,SV75: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV75 @ SV177 @ SV256 @ SV303 ) )
= $true )
| ( ( denotational_Vagree @ ( SV177 @ SV326 ) @ ( SV177 @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ SV256 ) @ ( insert_variable @ ( dVar @ SV256 ) @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1362,plain,
! [SV76: set_variable] :
( ( ( ! [SY424: variable,SY425: variable] :
( ~ ( member_variable @ SY424 @ SV76 )
| ~ ( member_variable @ SY425 @ SV76 )
| ( SY424 = SY425 ) ) )
= $false )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1363,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( ~ ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1364,plain,
! [SV305: set_variable_real,SV258: set_variable_real,SV179: set_variable,SV78: variable > real] :
( ( ( ! [SY753: variable > real] :
( ~ ( denota1419872369iation @ SY753 @ SV78 @ ( uminus1851247844riable @ SV179 ) )
| ( ( member_variable_real @ SY753 @ SV258 )
= ( member_variable_real @ SY753 @ SV305 ) ) ) )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1365,plain,
! [SV306: set_variable,SV259: set_variable,SV180: variable > real,SV79: variable > real] :
( ( ( denotational_Vagree @ SV79 @ SV180 @ SV259 )
= $false )
| ( ( ~ ( denotational_Vagree @ SV79 @ SV180 @ SV306 )
| ( denotational_Vagree @ SV79 @ SV180 @ ( sup_sup_set_variable @ SV259 @ SV306 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1366,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1257]) ).
thf(1367,plain,
! [SV261: set_variable,SV183: set_variable,SV82: variable] :
( ( ( ~ ~ ( member_variable @ SV82 @ SV183 ) )
= $false )
| ( ( member_variable @ SV82 @ ( sup_sup_set_variable @ SV261 @ SV183 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1368,plain,
! [SV183: set_variable,SV261: set_variable,SV82: variable] :
( ( ( member_variable @ SV82 @ SV261 )
= $false )
| ( ( member_variable @ SV82 @ ( sup_sup_set_variable @ SV261 @ SV183 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1369,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1370,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1371,plain,
! [SV84: set_variable] :
( ( ( ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1372,plain,
! [SV84: set_variable] :
( ( ( SV84 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1373,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1374,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1375,plain,
! [SV86: variable,SV186: set_variable] :
( ( ( ( SV186
!= ( insert_variable @ SV86 @ ( sK9_SY612 @ SV86 @ SV186 ) ) )
| ( member_variable @ SV86 @ ( sK9_SY612 @ SV86 @ SV186 ) ) )
= $false )
| ( ( member_variable @ SV86 @ SV186 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1264]) ).
thf(1376,plain,
! [SV87: variable,SV187: set_variable] :
( ( ( ~ ~ ( ( SV187
!= ( insert_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) )
| ~ ~ ( member_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) ) )
= $false )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1265]) ).
thf(1377,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1378,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1379,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1380,plain,
! [SV309: set_variable,SV266: set_variable,SV192: set_variable,SV92: set_variable] :
( ( ( SV92
= ( sup_sup_set_variable @ SV192 @ SV266 ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV309 @ SV92 )
= ( sup_sup_set_variable @ SV192 @ ( sup_sup_set_variable @ SV309 @ SV266 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1381,plain,
! [SV194: set_variable] :
( ( ( is_sin155454833riable @ SV194 )
= $false )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1273]) ).
thf(1382,plain,
! [SV194: set_variable] :
( ( ( ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1273]) ).
thf(1383,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1384,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1385,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1386,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1387,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV267: denotational_interp,SV197: char,SV97: real > variable > real] :
( ( ~ ! [SY794: variable > real] :
( ~ ( denota1419872369iation @ SY794 @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SV267 @ SV310 @ SY794 )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ SY794 ) ) )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1388,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1389,plain,
! [SV269: set_variable,SV199: variable,SV99: variable] :
( ( ( ~ ( ( SV99 != SV199 ) ) )
= $true )
| ( ( member_variable @ SV99 @ SV269 )
= $true )
| ( ( member_variable @ SV99 @ ( insert_variable @ SV199 @ SV269 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1390,plain,
! [SV100: variable] :
( ( ( ! [SY478: char] :
( SV100
!= ( dVar @ SY478 ) ) )
= $false )
| ( ( SV100
= ( rVar @ ( sK2_SY477 @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1391,plain,
! [SV101: set_variable] :
( ( ( SV101
= ( insert_variable @ ( sK4_SY479 @ SV101 ) @ bot_bot_set_variable ) )
= $true )
| ( ( is_sin155454833riable @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1392,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1281]) ).
thf(1393,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1281]) ).
thf(1394,plain,
! [SV103: real > variable > real,SV201: char,SV270: denotational_interp,SV311: trm,SV328: denotational_interp,SV340: trm] :
( ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) ) ) )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1395,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1396,plain,
! [SV272: variable,SV203: set_variable,SV105: variable] :
( ( ( ~ ~ ( member_variable @ SV105 @ SV203 ) )
= $false )
| ( ( member_variable @ SV105 @ ( insert_variable @ SV272 @ SV203 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1397,plain,
! [SV203: set_variable,SV272: variable,SV105: variable] :
( ( ( SV105 = SV272 )
= $false )
| ( ( member_variable @ SV105 @ ( insert_variable @ SV272 @ SV203 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1398,plain,
! [SV341: trm,SV329: char,SV313: denotational_interp,SV273: set_variable,SV204: variable > real,SV106: real > variable > real] :
( ( ! [SY795: real] :
( ~ ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 )
| ~ ( denota1778088425es_ODE @ SV313 @ SV106 @ SV329 @ SV341 )
| ( denota1419872369iation @ ( SV106 @ SY795 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SV329 ) @ ( insert_variable @ ( dVar @ SV329 ) @ bot_bot_set_variable ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1399,plain,
! [SV314: set_variable,SV274: set_variable,SV205: set_variable,SV107: set_variable] :
( ( ( SV107
= ( sup_sup_set_variable @ SV205 @ SV274 ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV107 @ SV314 )
= ( sup_sup_set_variable @ SV205 @ ( sup_sup_set_variable @ SV274 @ SV314 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1400,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( member_variable @ SV109 @ SV207 )
= $true )
| ( ( ~ ~ ( member_variable @ SV109 @ SV275 )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= ( SV207 = SV275 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1401,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1402,plain,
! [SV330: set_variable_real,SV315: real,SV277: variable > real,SV209: variable,SV111: variable] :
( ( ( ~ ( ( SV111 != SV209 ) ) )
= $true )
| ( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1403,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= ( ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1404,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1293]) ).
thf(1405,plain,
! [SV332: set_variable,SV318: variable > real,SV280: set_variable,SV212: variable > real,SV114: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV114 @ SV212 @ SV280 ) )
= $true )
| ( ( ~ ( denota1419872369iation @ SV212 @ SV318 @ SV332 )
| ( denota1419872369iation @ SV114 @ SV318 @ ( sup_sup_set_variable @ SV280 @ SV332 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1406,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1407,plain,
! [SV319: set_variable_real,SV282: set_variable_real,SV214: set_variable,SV116: variable > real] :
( ( ( ! [SY768: variable > real] :
( ~ ( denota1419872369iation @ SY768 @ SV116 @ SV214 )
| ( ( member_variable_real @ SY768 @ SV282 )
= ( member_variable_real @ SY768 @ SV319 ) ) ) )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1408,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1409,plain,
! [SV333: denotational_interp,SV320: trm,SV286: set_variable,SV219: variable > real,SV121: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV121 @ SV219 @ SV286 ) )
= $true )
| ( ( ( ( inf_inf_set_variable @ ( static_FVT @ SV320 ) @ SV286 )
!= bot_bot_set_variable )
| ( ( denota1863255036rm_sem @ SV333 @ SV320 @ SV121 )
= ( denota1863255036rm_sem @ SV333 @ SV320 @ SV219 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1301]) ).
thf(1410,plain,
! [SV220: variable,SV122: variable > $o] :
( ( ( ~ ! [SY541: char] : ( SV122 @ ( dVar @ SY541 ) ) )
= $true )
| ( ( SV122 @ SV220 )
= $true )
| ( ( SV122 @ ( rVar @ ( sK5_SY540 @ SV220 @ SV122 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1302]) ).
thf(1411,plain,
! [SV334: set_variable_real,SV321: real,SV287: variable > real,SV222: variable,SV125: variable] :
( ( ( ~ ( ( SV125 != SV222 ) ) )
= $true )
| ( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1304]) ).
thf(1412,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ~ ( member_variable @ SV126 @ SV223 ) )
= $false )
| ( ( ~ ~ ( member_variable @ SV288 @ SV322 )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1413,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm] :
( ( ! [SY797: denotational_interp,SY798: char,SY799: real > variable > real] :
( ( ~ ! [SY800: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY800 @ ( SY799 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY798 ) @ ( insert_variable @ ( dVar @ SY798 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY797 @ SV343 @ SY800 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY800 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SY797 @ SY798 @ SY799 ) @ ( SY799 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY798 ) @ ( insert_variable @ ( dVar @ SY798 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SY797 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SY797 @ SY798 @ SY799 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SY797 @ SY798 @ SY799 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1414,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1415,plain,
! [SV290: set_variable,SV226: set_variable,SV129: variable] :
( ( ( ~ ~ ( member_variable @ SV129 @ SV226 ) )
= $true )
| ( ( member_variable @ SV129 @ SV290 )
= $true )
| ( ( member_variable @ SV129 @ ( sup_sup_set_variable @ SV226 @ SV290 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1416,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1417,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1418,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) )
= $false )
| ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1419,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ! [SV345: variable] :
( ( SV1 @ SV345 )
= ( SV133 @ SV345 ) ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1313]) ).
thf(1420,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 = SV133 )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1313]) ).
thf(1421,plain,
! [SV8: variable > $o] :
( ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
= $false )
| ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1422,plain,
! [SV8: variable > $o] :
( ( ( ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
= $false )
| ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1423,plain,
! [SV8: variable > $o] :
( ( ( SV8 @ ( sK6_SY361 @ SV8 ) )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1424,plain,
! [SV9: variable > $o] :
( ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
= $false )
| ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1425,plain,
! [SV9: variable > $o] :
( ( ( ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
= $false )
| ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1426,plain,
! [SV9: variable > $o] :
( ( ( SV9 @ ( sK7_SY362 @ SV9 ) )
= $true )
| ( ( ~ ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1427,plain,
! [SV10: set_variable] :
( ( ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 )
= $true )
| ( ( ~ ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1428,plain,
! [SV10: set_variable] :
( ( ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 ) )
= $false )
| ( ( SV10 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1319]) ).
thf(1429,plain,
! [SV10: set_variable] :
( ( ( SV10 != bot_bot_set_variable )
= $false )
| ( ( SV10 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1319]) ).
thf(1430,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1431,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1432,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ~ ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) )
| ~ ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1433,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1434,plain,
! [SV159: variable,SV40: variable] :
( ( ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 != SV159 ) )
= $false )
| ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1435,plain,
! [SV159: variable,SV40: variable] :
( ( ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
| ( SV40 != SV159 ) )
= $false )
| ( ( SV40 = SV159 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1323]) ).
thf(1436,plain,
! [SV161: char,SV44: char] :
( ( ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
| ( SV44 != SV161 ) )
= $false )
| ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1437,plain,
! [SV161: char,SV44: char] :
( ( ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
| ( SV44 != SV161 ) )
= $false )
| ( ( SV44 = SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1438,plain,
! [SV162: char,SV45: char] :
( ( ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
| ( SV45 != SV162 ) )
= $false )
| ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1439,plain,
! [SV162: char,SV45: char] :
( ( ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
| ( SV45 != SV162 ) )
= $false )
| ( ( SV45 = SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1440,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1328]) ).
thf(1441,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1328]) ).
thf(1442,plain,
! [SV48: real] :
( ( ( zero_zero_real != SV48 )
= $false )
| ( ( zero_zero_real = SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1329]) ).
thf(1443,plain,
! [SV48: real] :
( ( ( SV48 != zero_zero_real )
= $false )
| ( ( zero_zero_real = SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1329]) ).
thf(1444,plain,
! [SV48: real] :
( ( ( zero_zero_real != SV48 )
= $false )
| ( ( SV48 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1445,plain,
! [SV48: real] :
( ( ( SV48 != zero_zero_real )
= $false )
| ( ( SV48 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1446,plain,
! [SV164: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV164 )
| ~ ( member_variable @ SV164 @ bot_bot_set_variable ) )
= $false )
| ( ( bot_bot_variable_o @ SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1447,plain,
! [SV164: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV164 )
| ~ ( member_variable @ SV164 @ bot_bot_set_variable ) )
= $false )
| ( ( member_variable @ SV164 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1448,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1449,plain,
! [SV50: variable > $o] :
( ( ( SV50 != bot_bot_variable_o )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1450,plain,
! [SV50: variable > $o] :
( ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1334]) ).
thf(1451,plain,
! [SV50: variable > $o] :
( ( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1452,plain,
! [SV165: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV165 )
| ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( is_sin155454833riable @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1336]) ).
thf(1453,plain,
! [SV165: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV165 )
| ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1454,plain,
! [SV166: set_variable] :
( ( ( ~ ( is_empty_variable @ SV166 )
| ( SV166 != bot_bot_set_variable ) )
= $false )
| ( ( is_empty_variable @ SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1455,plain,
! [SV166: set_variable] :
( ( ( ~ ( is_empty_variable @ SV166 )
| ( SV166 != bot_bot_set_variable ) )
= $false )
| ( ( SV166 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1456,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
!= ( SV63 @ SV171 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1457,plain,
! [SV171: variable,SV63: variable > real,SV251: real] :
( ( ( SV251
= ( SV63 @ SV171 ) )
= $false )
| ( ( ~ ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
!= ( SV63 @ SV171 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1458,plain,
! [SV64: option_variable] :
( ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
= $false )
| ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1459,plain,
! [SV64: option_variable] :
( ( ( SV64 != none_variable )
= $false )
| ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1460,plain,
! [SV64: option_variable] :
( ( ( ( set_option_variable2 @ SV64 )
!= bot_bot_set_variable )
= $false )
| ( ( SV64 = none_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1342]) ).
thf(1461,plain,
! [SV64: option_variable] :
( ( ( SV64 != none_variable )
= $false )
| ( ( SV64 = none_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1342]) ).
thf(1462,plain,
! [SV67: real] :
( ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
= $false )
| ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1343]) ).
thf(1463,plain,
! [SV67: real] :
( ( ( zero_zero_real != SV67 )
= $false )
| ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1343]) ).
thf(1464,plain,
! [SV67: real] :
( ( ( zero_zero_real
!= ( uminus_uminus_real @ SV67 ) )
= $false )
| ( ( zero_zero_real = SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1344]) ).
thf(1465,plain,
! [SV67: real] :
( ( ( zero_zero_real != SV67 )
= $false )
| ( ( zero_zero_real = SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1344]) ).
thf(1466,plain,
! [SV68: real] :
( ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
= $false )
| ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1345]) ).
thf(1467,plain,
! [SV68: real] :
( ( ( SV68 != zero_zero_real )
= $false )
| ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1345]) ).
thf(1468,plain,
! [SV68: real] :
( ( ( ( uminus_uminus_real @ SV68 )
!= zero_zero_real )
= $false )
| ( ( SV68 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1469,plain,
! [SV68: real] :
( ( ( SV68 != zero_zero_real )
= $false )
| ( ( SV68 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1470,plain,
! [SV69: real] :
( ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
= $false )
| ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1471,plain,
! [SV69: real] :
( ( ( SV69 != zero_zero_real )
= $false )
| ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1472,plain,
! [SV69: real] :
( ( ( SV69
!= ( uminus_uminus_real @ SV69 ) )
= $false )
| ( ( SV69 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1348]) ).
thf(1473,plain,
! [SV69: real] :
( ( ( SV69 != zero_zero_real )
= $false )
| ( ( SV69 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1348]) ).
thf(1474,plain,
! [SV70: real] :
( ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
= $false )
| ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1349]) ).
thf(1475,plain,
! [SV70: real] :
( ( ( SV70 != zero_zero_real )
= $false )
| ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1349]) ).
thf(1476,plain,
! [SV70: real] :
( ( ( ( uminus_uminus_real @ SV70 )
!= SV70 )
= $false )
| ( ( SV70 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1477,plain,
! [SV70: real] :
( ( ( SV70 != zero_zero_real )
= $false )
| ( ( SV70 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1478,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1479,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( denotational_Vagree @ SV71 @ SV174 @ SV253 )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1480,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $true )
= $false )
| ( SV74 = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1481,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1482,plain,
! [SV74: $o] :
( ( SV74 = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1483,plain,
! [SV74: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1484,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1485,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1486,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1487,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1488,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1489,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1490,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1491,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1492,plain,
! [SV326: real,SV303: trm,SV256: char,SV177: real > variable > real,SV75: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV75 @ SV177 @ SV256 @ SV303 )
= $false )
| ( ( denotational_Vagree @ ( SV177 @ SV326 ) @ ( SV177 @ zero_zero_real ) @ ( uminus1851247844riable @ ( insert_variable @ ( rVar @ SV256 ) @ ( insert_variable @ ( dVar @ SV256 ) @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1493,plain,
! [SV76: set_variable] :
( ( ( ! [SY802: variable] :
( ~ ( member_variable @ ( sK12_SY424 @ SV76 ) @ SV76 )
| ~ ( member_variable @ SY802 @ SV76 )
| ( ( sK12_SY424 @ SV76 )
= SY802 ) ) )
= $false )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1362]) ).
thf(1494,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1495,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ~ ( denota1419872369iation @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV78 @ ( uminus1851247844riable @ SV179 ) )
| ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
= ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) ) )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1364]) ).
thf(1496,plain,
! [SV259: set_variable,SV306: set_variable,SV180: variable > real,SV79: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV79 @ SV180 @ SV306 ) )
= $true )
| ( ( denotational_Vagree @ SV79 @ SV180 @ ( sup_sup_set_variable @ SV259 @ SV306 ) )
= $true )
| ( ( denotational_Vagree @ SV79 @ SV180 @ SV259 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1497,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1498,plain,
! [SV261: set_variable,SV183: set_variable,SV82: variable] :
( ( ( ~ ( member_variable @ SV82 @ SV183 ) )
= $true )
| ( ( member_variable @ SV82 @ ( sup_sup_set_variable @ SV261 @ SV183 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1499,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1500,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1501,plain,
! [SV84: set_variable,SV346: variable] :
( ( ( ~ ( member_variable @ SV346 @ SV84 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1502,plain,
! [SV84: set_variable] :
( ( ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1503,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1504,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1374]) ).
thf(1505,plain,
! [SV86: variable,SV186: set_variable] :
( ( ( SV186
!= ( insert_variable @ SV86 @ ( sK9_SY612 @ SV86 @ SV186 ) ) )
= $false )
| ( ( member_variable @ SV86 @ SV186 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1506,plain,
! [SV186: set_variable,SV86: variable] :
( ( ( member_variable @ SV86 @ ( sK9_SY612 @ SV86 @ SV186 ) )
= $false )
| ( ( member_variable @ SV86 @ SV186 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1507,plain,
! [SV87: variable,SV187: set_variable] :
( ( ( ~ ( ( SV187
!= ( insert_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) )
| ~ ~ ( member_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) ) )
= $true )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1508,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1509,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1510,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1511,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1512,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1513,plain,
! [SV194: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $false )
| ( ( is_sin155454833riable @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1514,plain,
! [SV194: set_variable] :
( ( ( ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1515,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1516,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1517,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1518,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1519,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV267: denotational_interp,SV197: char,SV97: real > variable > real] :
( ( ( ~ ! [SY794: variable > real] :
( ~ ( denota1419872369iation @ SY794 @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SV267 @ SV310 @ SY794 )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ SY794 ) ) ) )
= $true )
| ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1520,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1521,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1522,plain,
! [SV269: set_variable,SV199: variable,SV99: variable] :
( ( ( SV99 != SV199 )
= $false )
| ( ( member_variable @ SV99 @ SV269 )
= $true )
| ( ( member_variable @ SV99 @ ( insert_variable @ SV199 @ SV269 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1523,plain,
! [SV100: variable] :
( ( ( SV100
!= ( dVar @ ( sK14_SY478 @ SV100 ) ) )
= $false )
| ( ( SV100
= ( rVar @ ( sK2_SY477 @ SV100 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1390]) ).
thf(1524,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1525,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1526,plain,
! [SV103: real > variable > real,SV201: char,SV270: denotational_interp,SV311: trm,SV328: denotational_interp,SV340: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) ) ) ) )
= $true )
| ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1394]) ).
thf(1527,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1528,plain,
! [SV272: variable,SV203: set_variable,SV105: variable] :
( ( ( ~ ( member_variable @ SV105 @ SV203 ) )
= $true )
| ( ( member_variable @ SV105 @ ( insert_variable @ SV272 @ SV203 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1396]) ).
thf(1529,plain,
! [SV347: real,SV341: trm,SV329: char,SV313: denotational_interp,SV273: set_variable,SV204: variable > real,SV106: real > variable > real] :
( ( ~ ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 )
| ~ ( denota1778088425es_ODE @ SV313 @ SV106 @ SV329 @ SV341 )
| ( denota1419872369iation @ ( SV106 @ SV347 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SV329 ) @ ( insert_variable @ ( dVar @ SV329 ) @ bot_bot_set_variable ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1530,plain,
! [SV207: set_variable,SV275: set_variable,SV109: variable] :
( ( ( ~ ~ ( member_variable @ SV109 @ SV275 ) )
= $true )
| ( ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= ( SV207 = SV275 ) )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1531,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1532,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1533,plain,
! [SV330: set_variable_real,SV315: real,SV277: variable > real,SV209: variable,SV111: variable] :
( ( ( SV111 != SV209 )
= $false )
| ( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1534,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ~ ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
| ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1403]) ).
thf(1535,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= ( ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1403]) ).
thf(1536,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1537,plain,
! [SV332: set_variable,SV318: variable > real,SV280: set_variable,SV212: variable > real,SV114: variable > real] :
( ( ( denota1419872369iation @ SV114 @ SV212 @ SV280 )
= $false )
| ( ( ~ ( denota1419872369iation @ SV212 @ SV318 @ SV332 )
| ( denota1419872369iation @ SV114 @ SV318 @ ( sup_sup_set_variable @ SV280 @ SV332 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1538,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1539,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1540,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ~ ( denota1419872369iation @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV116 @ SV214 )
| ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
= ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) ) )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1407]) ).
thf(1541,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1408]) ).
thf(1542,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1408]) ).
thf(1543,plain,
! [SV333: denotational_interp,SV320: trm,SV286: set_variable,SV219: variable > real,SV121: variable > real] :
( ( ( denota1419872369iation @ SV121 @ SV219 @ SV286 )
= $false )
| ( ( ( ( inf_inf_set_variable @ ( static_FVT @ SV320 ) @ SV286 )
!= bot_bot_set_variable )
| ( ( denota1863255036rm_sem @ SV333 @ SV320 @ SV121 )
= ( denota1863255036rm_sem @ SV333 @ SV320 @ SV219 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1544,plain,
! [SV220: variable,SV122: variable > $o] :
( ( ( ! [SY541: char] : ( SV122 @ ( dVar @ SY541 ) ) )
= $false )
| ( ( SV122 @ SV220 )
= $true )
| ( ( SV122 @ ( rVar @ ( sK5_SY540 @ SV220 @ SV122 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1545,plain,
! [SV334: set_variable_real,SV321: real,SV287: variable > real,SV222: variable,SV125: variable] :
( ( ( SV125 != SV222 )
= $false )
| ( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1546,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( member_variable @ SV126 @ SV223 )
= $true )
| ( ( ~ ~ ( member_variable @ SV288 @ SV322 )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1412]) ).
thf(1547,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp] :
( ( ! [SY803: char,SY804: real > variable > real] :
( ( ~ ! [SY805: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY805 @ ( SY804 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY803 ) @ ( insert_variable @ ( dVar @ SY803 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY805 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY805 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SY803 @ SY804 ) @ ( SY804 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SY803 ) @ ( insert_variable @ ( dVar @ SY803 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SY803 @ SY804 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SY803 @ SY804 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1548,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ~ ( ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1414]) ).
thf(1549,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1414]) ).
thf(1550,plain,
! [SV290: set_variable,SV226: set_variable,SV129: variable] :
( ( ( ~ ( member_variable @ SV129 @ SV226 ) )
= $false )
| ( ( member_variable @ SV129 @ SV290 )
= $true )
| ( ( member_variable @ SV129 @ ( sup_sup_set_variable @ SV226 @ SV290 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1551,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1552,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1553,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1417]) ).
thf(1554,plain,
! [SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1417]) ).
thf(1555,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable ) )
= $false )
| ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1418]) ).
thf(1556,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 != SV133 )
= $false )
| ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1418]) ).
thf(1557,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1419]) ).
thf(1558,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) )
= $false )
| ( ( SV1 = SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1559,plain,
! [SV8: variable > $o] :
( ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $true )
| ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1560,plain,
! [SV8: variable > $o] :
( ( ( ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
= $true )
| ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1422]) ).
thf(1561,plain,
! [SV8: variable > $o] :
( ( ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
| ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
= $false )
| ( ( SV8 @ ( sK6_SY361 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1562,plain,
! [SV9: variable > $o] :
( ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $true )
| ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1563,plain,
! [SV9: variable > $o] :
( ( ( ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
= $true )
| ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1564,plain,
! [SV9: variable > $o] :
( ( ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
| ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
= $false )
| ( ( SV9 @ ( sK7_SY362 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1565,plain,
! [SV10: set_variable] :
( ( ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 )
| ( SV10 != bot_bot_set_variable ) )
= $false )
| ( ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1566,plain,
! [SV10: set_variable] :
( ( ( ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 ) )
= $true )
| ( ( SV10 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1567,plain,
! [SV10: set_variable] :
( ( ( SV10 = bot_bot_set_variable )
= $true )
| ( ( SV10 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1568,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $false )
| ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1569,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( SV13 = SV137 )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1570,plain,
! [SV137: variable,SV232: set_variable,SV13: variable] :
( ( ( member_variable @ SV13 @ SV232 )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1571,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( ~ ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) ) )
= $true )
| ( ( ~ ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1432]) ).
thf(1572,plain,
! [SV159: variable,SV40: variable] :
( ( ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) ) )
= $false )
| ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1573,plain,
! [SV159: variable,SV40: variable] :
( ( ( SV40 != SV159 )
= $false )
| ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1574,plain,
! [SV159: variable,SV40: variable] :
( ( ( ~ ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV40 = SV159 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1575,plain,
! [SV159: variable,SV40: variable] :
( ( ( SV40 != SV159 )
= $false )
| ( ( SV40 = SV159 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1576,plain,
! [SV161: char,SV44: char] :
( ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
= $false )
| ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1577,plain,
! [SV161: char,SV44: char] :
( ( ( SV44 != SV161 )
= $false )
| ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1578,plain,
! [SV161: char,SV44: char] :
( ( ( ( rVar @ SV44 )
!= ( rVar @ SV161 ) )
= $false )
| ( ( SV44 = SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1437]) ).
thf(1579,plain,
! [SV161: char,SV44: char] :
( ( ( SV44 != SV161 )
= $false )
| ( ( SV44 = SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1437]) ).
thf(1580,plain,
! [SV162: char,SV45: char] :
( ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
= $false )
| ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1581,plain,
! [SV162: char,SV45: char] :
( ( ( SV45 != SV162 )
= $false )
| ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1582,plain,
! [SV162: char,SV45: char] :
( ( ( ( dVar @ SV45 )
!= ( dVar @ SV162 ) )
= $false )
| ( ( SV45 = SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1583,plain,
! [SV162: char,SV45: char] :
( ( ( SV45 != SV162 )
= $false )
| ( ( SV45 = SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1584,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1585,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ SV163 )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1441]) ).
thf(1586,plain,
! [SV163: set_variable,SV248: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ SV248 )
= $false )
| ( ( ~ ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1441]) ).
thf(1587,plain,
! [SV48: real] :
( ( ( zero_zero_real = SV48 )
= $true )
| ( ( zero_zero_real = SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1588,plain,
! [SV48: real] :
( ( ( SV48 = zero_zero_real )
= $true )
| ( ( zero_zero_real = SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1589,plain,
! [SV48: real] :
( ( ( zero_zero_real = SV48 )
= $true )
| ( ( SV48 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1590,plain,
! [SV48: real] :
( ( ( SV48 = zero_zero_real )
= $true )
| ( ( SV48 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1591,plain,
! [SV164: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV164 ) )
= $false )
| ( ( bot_bot_variable_o @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1592,plain,
! [SV164: variable] :
( ( ( ~ ( member_variable @ SV164 @ bot_bot_set_variable ) )
= $false )
| ( ( bot_bot_variable_o @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1593,plain,
! [SV164: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV164 ) )
= $false )
| ( ( member_variable @ SV164 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1594,plain,
! [SV164: variable] :
( ( ( ~ ( member_variable @ SV164 @ bot_bot_set_variable ) )
= $false )
| ( ( member_variable @ SV164 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1595,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1596,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1597,plain,
! [SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
| ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
| ~ ( ~ ( SV50 @ ( sK11_SV338 @ SV50 ) )
| ~ ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1450]) ).
thf(1598,plain,
! [SV50: variable > $o] :
( ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1450]) ).
thf(1599,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1451]) ).
thf(1600,plain,
! [SV50: variable > $o] :
( ( ( SV50 != bot_bot_variable_o )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1451]) ).
thf(1601,plain,
! [SV165: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV165 ) )
= $false )
| ( ( is_sin155454833riable @ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1452]) ).
thf(1602,plain,
! [SV165: set_variable] :
( ( ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $false )
| ( ( is_sin155454833riable @ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1452]) ).
thf(1603,plain,
! [SV165: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV165 ) )
= $false )
| ( ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1604,plain,
! [SV165: set_variable] :
( ( ( SV165
!= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $false )
| ( ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1605,plain,
! [SV166: set_variable] :
( ( ( ~ ( is_empty_variable @ SV166 ) )
= $false )
| ( ( is_empty_variable @ SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1454]) ).
thf(1606,plain,
! [SV166: set_variable] :
( ( ( SV166 != bot_bot_set_variable )
= $false )
| ( ( is_empty_variable @ SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1454]) ).
thf(1607,plain,
! [SV166: set_variable] :
( ( ( ~ ( is_empty_variable @ SV166 ) )
= $false )
| ( ( SV166 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1608,plain,
! [SV166: set_variable] :
( ( ( SV166 != bot_bot_set_variable )
= $false )
| ( ( SV166 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1609,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
!= ( SV63 @ SV171 ) ) )
= $false )
| ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1610,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
| ( SV251
!= ( SV63 @ SV171 ) ) )
= $false )
| ( ( SV251
= ( SV63 @ SV171 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1611,plain,
! [SV64: option_variable] :
( ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= $true )
| ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1458]) ).
thf(1612,plain,
! [SV64: option_variable] :
( ( ( SV64 = none_variable )
= $true )
| ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1613,plain,
! [SV64: option_variable] :
( ( ( ( set_option_variable2 @ SV64 )
= bot_bot_set_variable )
= $true )
| ( ( SV64 = none_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1614,plain,
! [SV64: option_variable] :
( ( ( SV64 = none_variable )
= $true )
| ( ( SV64 = none_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1615,plain,
! [SV67: real] :
( ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= $true )
| ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1616,plain,
! [SV67: real] :
( ( ( zero_zero_real = SV67 )
= $true )
| ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1617,plain,
! [SV67: real] :
( ( ( zero_zero_real
= ( uminus_uminus_real @ SV67 ) )
= $true )
| ( ( zero_zero_real = SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1618,plain,
! [SV67: real] :
( ( ( zero_zero_real = SV67 )
= $true )
| ( ( zero_zero_real = SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1619,plain,
! [SV68: real] :
( ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= $true )
| ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1620,plain,
! [SV68: real] :
( ( ( SV68 = zero_zero_real )
= $true )
| ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1621,plain,
! [SV68: real] :
( ( ( ( uminus_uminus_real @ SV68 )
= zero_zero_real )
= $true )
| ( ( SV68 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1622,plain,
! [SV68: real] :
( ( ( SV68 = zero_zero_real )
= $true )
| ( ( SV68 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1469]) ).
thf(1623,plain,
! [SV69: real] :
( ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= $true )
| ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1624,plain,
! [SV69: real] :
( ( ( SV69 = zero_zero_real )
= $true )
| ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1625,plain,
! [SV69: real] :
( ( ( SV69
= ( uminus_uminus_real @ SV69 ) )
= $true )
| ( ( SV69 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1626,plain,
! [SV69: real] :
( ( ( SV69 = zero_zero_real )
= $true )
| ( ( SV69 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1627,plain,
! [SV70: real] :
( ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= $true )
| ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1628,plain,
! [SV70: real] :
( ( ( SV70 = zero_zero_real )
= $true )
| ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1629,plain,
! [SV70: real] :
( ( ( ( uminus_uminus_real @ SV70 )
= SV70 )
= $true )
| ( ( SV70 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1630,plain,
! [SV70: real] :
( ( ( SV70 = zero_zero_real )
= $true )
| ( ( SV70 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1477]) ).
thf(1631,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) )
= $false )
| ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1632,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
| ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) )
= $false )
| ( ( denotational_Vagree @ SV71 @ SV174 @ SV253 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1633,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( SV74 = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1634,plain,
! [SV74: $o] :
( ( ( ~ $true ) = $false )
| ( SV74 = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1635,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( $true = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1636,plain,
! [SV74: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1637,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( SV74 = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1638,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1639,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1640,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1641,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1642,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1643,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1644,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1645,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1646,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1647,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1489]) ).
thf(1648,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1489]) ).
thf(1649,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1650,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1651,plain,
! [SV76: set_variable] :
( ( ( ~ ( member_variable @ ( sK12_SY424 @ SV76 ) @ SV76 )
| ~ ( member_variable @ ( sK17_SY802 @ SV76 ) @ SV76 )
| ( ( sK12_SY424 @ SV76 )
= ( sK17_SY802 @ SV76 ) ) )
= $false )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1493]) ).
thf(1652,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1494]) ).
thf(1653,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1494]) ).
thf(1654,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ~ ( denota1419872369iation @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV78 @ ( uminus1851247844riable @ SV179 ) ) )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1655,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
= ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1656,plain,
! [SV259: set_variable,SV306: set_variable,SV180: variable > real,SV79: variable > real] :
( ( ( denotational_Vagree @ SV79 @ SV180 @ SV306 )
= $false )
| ( ( denotational_Vagree @ SV79 @ SV180 @ ( sup_sup_set_variable @ SV259 @ SV306 ) )
= $true )
| ( ( denotational_Vagree @ SV79 @ SV180 @ SV259 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1657,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1658,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1659,plain,
! [SV261: set_variable,SV183: set_variable,SV82: variable] :
( ( ( member_variable @ SV82 @ SV183 )
= $false )
| ( ( member_variable @ SV82 @ ( sup_sup_set_variable @ SV261 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1660,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1661,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1662,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( SV83 != bot_bot_set_variable )
= $true )
| ( ( SV184 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1500]) ).
thf(1663,plain,
! [SV84: set_variable,SV346: variable] :
( ( ( member_variable @ SV346 @ SV84 )
= $false )
| ( ( ~ ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1664,plain,
! [SV84: set_variable] :
( ( ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= $false )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1665,plain,
! [SV84: set_variable] :
( ( ( ~ ( ( SV84 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1666,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1667,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1668,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( SV85 != bot_bot_set_variable )
= $true )
| ( ( SV185 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1504]) ).
thf(1669,plain,
! [SV86: variable,SV186: set_variable] :
( ( ( SV186
= ( insert_variable @ SV86 @ ( sK9_SY612 @ SV86 @ SV186 ) ) )
= $true )
| ( ( member_variable @ SV86 @ SV186 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1505]) ).
thf(1670,plain,
! [SV87: variable,SV187: set_variable] :
( ( ( ( SV187
!= ( insert_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) )
| ~ ~ ( member_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) )
= $false )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1671,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1508]) ).
thf(1672,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1509]) ).
thf(1673,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1674,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1675,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1676,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) )
= $true )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1677,plain,
! [SV194: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV194 ) )
= $false )
| ( ( is_sin155454833riable @ SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1678,plain,
! [SV194: set_variable] :
( ( ( ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $false )
| ( ( is_sin155454833riable @ SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1679,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( SV194
!= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1680,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1681,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1682,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( SV95 != bot_bot_set_variable )
= $true )
| ( ( SV195 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1516]) ).
thf(1683,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1684,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1685,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( SV96 != bot_bot_set_variable )
= $true )
| ( ( SV196 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1518]) ).
thf(1686,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV267: denotational_interp,SV197: char,SV97: real > variable > real] :
( ( ( ! [SY794: variable > real] :
( ~ ( denota1419872369iation @ SY794 @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SV267 @ SV310 @ SY794 )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ SY794 ) ) ) )
= $false )
| ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1687,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1688,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) )
= $true )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1689,plain,
! [SV269: set_variable,SV199: variable,SV99: variable] :
( ( ( SV99 = SV199 )
= $true )
| ( ( member_variable @ SV99 @ SV269 )
= $true )
| ( ( member_variable @ SV99 @ ( insert_variable @ SV199 @ SV269 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1690,plain,
! [SV100: variable] :
( ( ( SV100
= ( dVar @ ( sK14_SY478 @ SV100 ) ) )
= $true )
| ( ( SV100
= ( rVar @ ( sK2_SY477 @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1523]) ).
thf(1691,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1692,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1693,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( SV102 != bot_bot_set_variable )
= $true )
| ( ( SV200 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1694,plain,
! [SV103: real > variable > real,SV201: char,SV270: denotational_interp,SV311: trm,SV328: denotational_interp,SV340: trm] :
( ( ( ~ ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) ) ) )
= $false )
| ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1695,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1696,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1697,plain,
! [SV272: variable,SV203: set_variable,SV105: variable] :
( ( ( member_variable @ SV105 @ SV203 )
= $false )
| ( ( member_variable @ SV105 @ ( insert_variable @ SV272 @ SV203 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1698,plain,
! [SV347: real,SV341: trm,SV329: char,SV313: denotational_interp,SV273: set_variable,SV204: variable > real,SV106: real > variable > real] :
( ( ( ~ ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 ) )
= $true )
| ( ( ~ ( denota1778088425es_ODE @ SV313 @ SV106 @ SV329 @ SV341 )
| ( denota1419872369iation @ ( SV106 @ SV347 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SV329 ) @ ( insert_variable @ ( dVar @ SV329 ) @ bot_bot_set_variable ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1699,plain,
! [SV207: set_variable,SV275: set_variable,SV109: variable] :
( ( ( ~ ( member_variable @ SV109 @ SV275 ) )
= $false )
| ( ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= ( SV207 = SV275 ) )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1700,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1701,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1702,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1703,plain,
! [SV330: set_variable_real,SV315: real,SV277: variable > real,SV209: variable,SV111: variable] :
( ( ( SV111 = SV209 )
= $true )
| ( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1704,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ~ ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1534]) ).
thf(1705,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1706,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1707,plain,
! [SV280: set_variable,SV114: variable > real,SV332: set_variable,SV318: variable > real,SV212: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV212 @ SV318 @ SV332 ) )
= $true )
| ( ( denota1419872369iation @ SV114 @ SV318 @ ( sup_sup_set_variable @ SV280 @ SV332 ) )
= $true )
| ( ( denota1419872369iation @ SV114 @ SV212 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1537]) ).
thf(1708,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1709,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1710,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1711,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ~ ( denota1419872369iation @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV116 @ SV214 ) )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1712,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
= ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1713,plain,
! [SV120: set_variable,SV218: set_variable,SV285: variable > $o] :
( ( ( ~ ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1541]) ).
thf(1714,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1715,plain,
! [SV219: variable > real,SV121: variable > real,SV333: denotational_interp,SV286: set_variable,SV320: trm] :
( ( ( ( inf_inf_set_variable @ ( static_FVT @ SV320 ) @ SV286 )
!= bot_bot_set_variable )
= $true )
| ( ( ( denota1863255036rm_sem @ SV333 @ SV320 @ SV121 )
= ( denota1863255036rm_sem @ SV333 @ SV320 @ SV219 ) )
= $true )
| ( ( denota1419872369iation @ SV121 @ SV219 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1543]) ).
thf(1716,plain,
! [SV220: variable,SV122: variable > $o] :
( ( ( SV122 @ ( dVar @ ( sK19_SY541 @ SV220 @ SV122 ) ) )
= $false )
| ( ( SV122 @ SV220 )
= $true )
| ( ( SV122 @ ( rVar @ ( sK5_SY540 @ SV220 @ SV122 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1544]) ).
thf(1717,plain,
! [SV334: set_variable_real,SV321: real,SV287: variable > real,SV222: variable,SV125: variable] :
( ( ( SV125 = SV222 )
= $true )
| ( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1718,plain,
! [SV223: set_variable,SV126: variable,SV322: set_variable,SV288: variable] :
( ( ( ~ ~ ( member_variable @ SV288 @ SV322 ) )
= $true )
| ( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1719,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char] :
( ( ! [SY806: real > variable > real] :
( ( ~ ! [SY807: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY807 @ ( SY806 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY807 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY807 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SY806 ) @ ( SY806 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SY806 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SY806 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(1720,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ( ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1548]) ).
thf(1721,plain,
! [SV290: set_variable,SV226: set_variable,SV129: variable] :
( ( ( member_variable @ SV129 @ SV226 )
= $true )
| ( ( member_variable @ SV129 @ SV290 )
= $true )
| ( ( member_variable @ SV129 @ ( sup_sup_set_variable @ SV226 @ SV290 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1722,plain,
! [SV131: variable,SV228: set_variable,SV292: variable > $o] :
( ( ( ~ ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1551]) ).
thf(1723,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1724,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1725,plain,
! [SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1726,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable] :
( ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1727,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $true )
| ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1728,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 = SV133 )
= $true )
| ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1729,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
| ( SV1 != SV133 ) )
= $false )
| ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1730,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable ) )
= $false )
| ( ( SV1 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1558]) ).
thf(1731,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 != SV133 )
= $false )
| ( ( SV1 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1558]) ).
thf(1732,plain,
! [SV351: variable,SV8: variable > $o] :
( ( ( ~ ( SV8 @ SV351 ) )
= $true )
| ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(1733,plain,
! [SV8: variable > $o] :
( ( ( bot_bot_set_variable
!= ( collect_variable @ SV8 ) )
= $false )
| ( ( SV8 @ ( sK6_SY361 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1734,plain,
! [SV8: variable > $o] :
( ( ( ~ ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
= $false )
| ( ( SV8 @ ( sK6_SY361 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1735,plain,
! [SV352: variable,SV9: variable > $o] :
( ( ( ~ ( SV9 @ SV352 ) )
= $true )
| ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(1736,plain,
! [SV9: variable > $o] :
( ( ( ( collect_variable @ SV9 )
!= bot_bot_set_variable )
= $false )
| ( ( SV9 @ ( sK7_SY362 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1737,plain,
! [SV9: variable > $o] :
( ( ( ~ ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
= $false )
| ( ( SV9 @ ( sK7_SY362 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1738,plain,
! [SV10: set_variable] :
( ( ( ~ ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 ) )
= $false )
| ( ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1739,plain,
! [SV10: set_variable] :
( ( ( SV10 != bot_bot_set_variable )
= $false )
| ( ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1740,plain,
! [SV10: set_variable,SV353: variable] :
( ( ( ~ ( member_variable @ SV353 @ SV10 ) )
= $true )
| ( ( SV10 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(1741,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) ) )
= $false )
| ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1742,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $false )
| ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1743,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $false )
| ( ( SV13 = SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1744,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
| ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $false )
| ( ( member_variable @ SV13 @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1745,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1746,plain,
! [SV159: variable,SV40: variable] :
( ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= $true )
| ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1747,plain,
! [SV159: variable,SV40: variable] :
( ( ( SV40 = SV159 )
= $true )
| ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1573]) ).
thf(1748,plain,
! [SV159: variable,SV40: variable] :
( ( ( member_variable @ SV40 @ ( insert_variable @ SV159 @ bot_bot_set_variable ) )
= $true )
| ( ( SV40 = SV159 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1749,plain,
! [SV159: variable,SV40: variable] :
( ( ( SV40 = SV159 )
= $true )
| ( ( SV40 = SV159 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1750,plain,
! [SV161: char,SV44: char] :
( ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= $true )
| ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1751,plain,
! [SV161: char,SV44: char] :
( ( ( SV44 = SV161 )
= $true )
| ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1752,plain,
! [SV161: char,SV44: char] :
( ( ( ( rVar @ SV44 )
= ( rVar @ SV161 ) )
= $true )
| ( ( SV44 = SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1753,plain,
! [SV161: char,SV44: char] :
( ( ( SV44 = SV161 )
= $true )
| ( ( SV44 = SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1754,plain,
! [SV162: char,SV45: char] :
( ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= $true )
| ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1755,plain,
! [SV162: char,SV45: char] :
( ( ( SV45 = SV162 )
= $true )
| ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1581]) ).
thf(1756,plain,
! [SV162: char,SV45: char] :
( ( ( ( dVar @ SV45 )
= ( dVar @ SV162 ) )
= $true )
| ( ( SV45 = SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1757,plain,
! [SV162: char,SV45: char] :
( ( ( SV45 = SV162 )
= $true )
| ( ( SV45 = SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1758,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1759,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1760,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1761,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
| ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ SV248 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1762,plain,
! [SV164: variable] :
( ( ( bot_bot_variable_o @ SV164 )
= $true )
| ( ( bot_bot_variable_o @ SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1763,plain,
! [SV164: variable] :
( ( ( member_variable @ SV164 @ bot_bot_set_variable )
= $true )
| ( ( bot_bot_variable_o @ SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1764,plain,
! [SV164: variable] :
( ( ( bot_bot_variable_o @ SV164 )
= $true )
| ( ( member_variable @ SV164 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1765,plain,
! [SV164: variable] :
( ( ( member_variable @ SV164 @ bot_bot_set_variable )
= $true )
| ( ( member_variable @ SV164 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1766,plain,
! [SV50: variable > $o] :
( ( ( ! [SV354: variable] :
( ( SV50 @ SV354 )
= ( bot_bot_variable_o @ SV354 ) ) )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1596]) ).
thf(1767,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1596]) ).
thf(1768,plain,
! [SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
| ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1597]) ).
thf(1769,plain,
! [SV50: variable > $o] :
( ( ( ~ ( ~ ( SV50 @ ( sK11_SV338 @ SV50 ) )
| ~ ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1597]) ).
thf(1770,plain,
! [SV50: variable > $o] :
( ( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1771,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1772,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1600]) ).
thf(1773,plain,
! [SV165: set_variable] :
( ( ( is_sin155454833riable @ SV165 )
= $true )
| ( ( is_sin155454833riable @ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1774,plain,
! [SV165: set_variable] :
( ( ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $true )
| ( ( is_sin155454833riable @ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1775,plain,
! [SV165: set_variable] :
( ( ( is_sin155454833riable @ SV165 )
= $true )
| ( ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1776,plain,
! [SV165: set_variable] :
( ( ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $true )
| ( ( SV165
= ( insert_variable @ ( the_elem_variable @ SV165 ) @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1604]) ).
thf(1777,plain,
! [SV166: set_variable] :
( ( ( is_empty_variable @ SV166 )
= $true )
| ( ( is_empty_variable @ SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1778,plain,
! [SV166: set_variable] :
( ( ( SV166 = bot_bot_set_variable )
= $true )
| ( ( is_empty_variable @ SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1606]) ).
thf(1779,plain,
! [SV166: set_variable] :
( ( ( is_empty_variable @ SV166 )
= $true )
| ( ( SV166 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1607]) ).
thf(1780,plain,
! [SV166: set_variable] :
( ( ( SV166 = bot_bot_set_variable )
= $true )
| ( ( SV166 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1608]) ).
thf(1781,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) ) )
= $false )
| ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1782,plain,
! [SV171: variable,SV63: variable > real,SV251: real] :
( ( ( SV251
!= ( SV63 @ SV171 ) )
= $false )
| ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1783,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV251
= ( SV63 @ SV171 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1784,plain,
! [SV171: variable,SV63: variable > real,SV251: real] :
( ( ( SV251
!= ( SV63 @ SV171 ) )
= $false )
| ( ( SV251
= ( SV63 @ SV171 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1785,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) ) )
= $false )
| ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1786,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) )
= $false )
| ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1787,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) ) )
= $false )
| ( ( denotational_Vagree @ SV71 @ SV174 @ SV253 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1788,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV71 @ SV174 @ SV253 ) )
= $false )
| ( ( denotational_Vagree @ SV71 @ SV174 @ SV253 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1789,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( SV74 = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1633]) ).
thf(1790,plain,
! [SV74: $o] :
( ( $true = $true )
| ( SV74 = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1634]) ).
thf(1791,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( $true = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1792,plain,
! [SV74: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV74 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1636]) ).
thf(1793,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( SV74 = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1794,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( SV74 = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1795,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( $false = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1796,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1797,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1798,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1640]) ).
thf(1799,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1800,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1642]) ).
thf(1801,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1802,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1803,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1644]) ).
thf(1804,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1644]) ).
thf(1805,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1645]) ).
thf(1806,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1807,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1808,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1809,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1810,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1811,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1812,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1813,plain,
! [SV76: set_variable] :
( ( ( ~ ( member_variable @ ( sK12_SY424 @ SV76 ) @ SV76 ) )
= $false )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1814,plain,
! [SV76: set_variable] :
( ( ( ~ ( member_variable @ ( sK17_SY802 @ SV76 ) @ SV76 )
| ( ( sK12_SY424 @ SV76 )
= ( sK17_SY802 @ SV76 ) ) )
= $false )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1815,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1816,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1653]) ).
thf(1817,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( denota1419872369iation @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV78 @ ( uminus1851247844riable @ SV179 ) )
= $true )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1818,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ~ ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
| ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) )
| ~ ( ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
| ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) ) )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1655]) ).
thf(1819,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
= ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1655]) ).
thf(1820,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1821,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ~ ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1658]) ).
thf(1822,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1660]) ).
thf(1823,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1824,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1825,plain,
! [SV346: variable,SV84: set_variable] :
( ( ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 )
| ~ ( ( SV84 != bot_bot_set_variable ) ) )
= $false )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1826,plain,
! [SV84: set_variable] :
( ( ( ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= $true )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1827,plain,
! [SV84: set_variable] :
( ( ( SV84 != bot_bot_set_variable )
= $true )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1828,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1829,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1830,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1831,plain,
! [SV87: variable,SV187: set_variable] :
( ( ( SV187
!= ( insert_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) )
= $false )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1670]) ).
thf(1832,plain,
! [SV187: set_variable,SV87: variable] :
( ( ( ~ ~ ( member_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) )
= $false )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1670]) ).
thf(1833,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1834,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ SV188 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV88 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1672]) ).
thf(1835,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1836,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ~ ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1674]) ).
thf(1837,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1838,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1839,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV90 @ SV264 ) )
= $true )
| ( ( ~ ( ord_le282106107riable @ SV190 @ SV264 ) )
= $true )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1676]) ).
thf(1840,plain,
! [SV194: set_variable] :
( ( ( is_sin155454833riable @ SV194 )
= $true )
| ( ( is_sin155454833riable @ SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1841,plain,
! [SV194: set_variable] :
( ( ( ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $true )
| ( ( is_sin155454833riable @ SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1678]) ).
thf(1842,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1843,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $true )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1844,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
= $true )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1845,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1846,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1847,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1848,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1849,plain,
! [SV97: real > variable > real,SV197: char,SV267: denotational_interp,SV310: trm,SV327: denotational_interp,SV339: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
| ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) ) )
= $false )
| ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1686]) ).
thf(1850,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1687]) ).
thf(1851,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1687]) ).
thf(1852,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV98 @ SV268 ) )
= $true )
| ( ( ~ ( ord_le282106107riable @ SV198 @ SV268 ) )
= $true )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1688]) ).
thf(1853,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $true )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1691]) ).
thf(1854,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
= $true )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1855,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1856,plain,
! [SV103: real > variable > real,SV201: char,SV270: denotational_interp,SV311: trm,SV328: denotational_interp,SV340: trm] :
( ( ( ~ ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1857,plain,
! [SV103: real > variable > real,SV201: char,SV328: denotational_interp,SV340: trm,SV311: trm,SV270: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) ) ) )
= $false )
| ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1858,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $false )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1859,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1860,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1861,plain,
! [SV347: real,SV341: trm,SV329: char,SV313: denotational_interp,SV273: set_variable,SV204: variable > real,SV106: real > variable > real] :
( ( ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 )
= $false )
| ( ( ~ ( denota1778088425es_ODE @ SV313 @ SV106 @ SV329 @ SV341 )
| ( denota1419872369iation @ ( SV106 @ SV347 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SV329 ) @ ( insert_variable @ ( dVar @ SV329 ) @ bot_bot_set_variable ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1862,plain,
! [SV207: set_variable,SV275: set_variable,SV109: variable] :
( ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= ( SV207 = SV275 ) )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1699]) ).
thf(1863,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1700]) ).
thf(1864,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1700]) ).
thf(1865,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1866,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1867,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1868,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ~ ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
| ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) )
= $true )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1703]) ).
thf(1869,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1703]) ).
thf(1870,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1871,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1872,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1873,plain,
! [SV280: set_variable,SV114: variable > real,SV332: set_variable,SV318: variable > real,SV212: variable > real] :
( ( ( denota1419872369iation @ SV212 @ SV318 @ SV332 )
= $false )
| ( ( denota1419872369iation @ SV114 @ SV318 @ ( sup_sup_set_variable @ SV280 @ SV332 ) )
= $true )
| ( ( denota1419872369iation @ SV114 @ SV212 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1874,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1875,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1876,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1877,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1878,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1710]) ).
thf(1879,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( denota1419872369iation @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV116 @ SV214 )
= $true )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1711]) ).
thf(1880,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ~ ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
| ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) )
| ~ ( ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
| ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) ) )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1712]) ).
thf(1881,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
= ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1712]) ).
thf(1882,plain,
! [SV120: set_variable,SV218: set_variable,SV285: variable > $o] :
( ( ( ~ ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1883,plain,
! [SV120: set_variable,SV218: set_variable,SV285: variable > $o] :
( ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1884,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $true )
| ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1714]) ).
thf(1885,plain,
! [SV219: variable > real,SV121: variable > real,SV333: denotational_interp,SV286: set_variable,SV320: trm] :
( ( ( ( inf_inf_set_variable @ ( static_FVT @ SV320 ) @ SV286 )
= bot_bot_set_variable )
= $false )
| ( ( ( denota1863255036rm_sem @ SV333 @ SV320 @ SV121 )
= ( denota1863255036rm_sem @ SV333 @ SV320 @ SV219 ) )
= $true )
| ( ( denota1419872369iation @ SV121 @ SV219 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1886,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ~ ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
| ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) ) )
= $true )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1717]) ).
thf(1887,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $true )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1717]) ).
thf(1888,plain,
! [SV223: set_variable,SV126: variable,SV322: set_variable,SV288: variable] :
( ( ( ~ ( member_variable @ SV288 @ SV322 ) )
= $false )
| ( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1718]) ).
thf(1889,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(1890,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1891,plain,
! [SV131: variable,SV228: set_variable,SV292: variable > $o] :
( ( ( ~ ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1722]) ).
thf(1892,plain,
! [SV131: variable,SV228: set_variable,SV292: variable > $o] :
( ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1722]) ).
thf(1893,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 ) )
= $true )
| ( ( ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1723]) ).
thf(1894,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable,SV356: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SV356 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1724]) ).
thf(1895,plain,
! [SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1725]) ).
thf(1896,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable] :
( ( ( ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1897,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ! [SV357: variable] :
( ( SV1 @ SV357 )
= ( SV133 @ SV357 ) ) )
= $true )
| ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1728]) ).
thf(1898,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 = SV133 )
= $true )
| ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1728]) ).
thf(1899,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable ) )
= $false )
| ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1729]) ).
thf(1900,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 != SV133 )
= $false )
| ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1729]) ).
thf(1901,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $true )
| ( ( SV1 = SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1902,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 = SV133 )
= $true )
| ( ( SV1 = SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1731]) ).
thf(1903,plain,
! [SV351: variable,SV8: variable > $o] :
( ( ( SV8 @ SV351 )
= $false )
| ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1904,plain,
! [SV8: variable > $o] :
( ( ( bot_bot_set_variable
= ( collect_variable @ SV8 ) )
= $true )
| ( ( SV8 @ ( sK6_SY361 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1905,plain,
! [SV8: variable > $o] :
( ( ( ! [SY361: variable] :
~ ( SV8 @ SY361 ) )
= $true )
| ( ( SV8 @ ( sK6_SY361 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1906,plain,
! [SV352: variable,SV9: variable > $o] :
( ( ( SV9 @ SV352 )
= $false )
| ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1907,plain,
! [SV9: variable > $o] :
( ( ( ( collect_variable @ SV9 )
= bot_bot_set_variable )
= $true )
| ( ( SV9 @ ( sK7_SY362 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(1908,plain,
! [SV9: variable > $o] :
( ( ( ! [SY362: variable] :
~ ( SV9 @ SY362 ) )
= $true )
| ( ( SV9 @ ( sK7_SY362 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1737]) ).
thf(1909,plain,
! [SV10: set_variable] :
( ( ( ! [SY363: variable] :
~ ( member_variable @ SY363 @ SV10 ) )
= $true )
| ( ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1738]) ).
thf(1910,plain,
! [SV10: set_variable] :
( ( ( SV10 = bot_bot_set_variable )
= $true )
| ( ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1739]) ).
thf(1911,plain,
! [SV10: set_variable,SV353: variable] :
( ( ( member_variable @ SV353 @ SV10 )
= $false )
| ( ( SV10 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1912,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $true )
| ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1913,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) )
= $true )
| ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1914,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) ) )
= $false )
| ( ( SV13 = SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1743]) ).
thf(1915,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $false )
| ( ( SV13 = SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1743]) ).
thf(1916,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) ) )
= $false )
| ( ( member_variable @ SV13 @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1744]) ).
thf(1917,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ~ ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) ) )
= $false )
| ( ( member_variable @ SV13 @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1744]) ).
thf(1918,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1919,plain,
! [SV337: set_variable,SV158: variable > real,SV298: variable > real] :
( ( ( denota1419872369iation @ SV298 @ SV158 @ SV337 )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1920,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $true )
| ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1758]) ).
thf(1921,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) )
= $true )
| ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1922,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1923,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1924,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ SV248 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1925,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ~ ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) ) )
= $false )
| ( ( member_variable @ SV46 @ SV248 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1926,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV358 )
= ( bot_bot_variable_o @ SV358 ) )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(1927,plain,
! [SV50: variable > $o] :
( ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
| ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $true )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1928,plain,
! [SV50: variable > $o] :
( ( ( ~ ( SV50 @ ( sK11_SV338 @ SV50 ) )
| ~ ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $true )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1929,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1770]) ).
thf(1930,plain,
! [SV50: variable > $o] :
( ( ( SV50 != bot_bot_variable_o )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1770]) ).
thf(1931,plain,
! [SV50: variable > $o] :
( ( ( ! [SV359: variable] :
( ( SV50 @ SV359 )
= ( bot_bot_variable_o @ SV359 ) ) )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1772]) ).
thf(1932,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1772]) ).
thf(1933,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= $true )
| ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1934,plain,
! [SV171: variable,SV63: variable > real,SV251: real] :
( ( ( SV251
= ( SV63 @ SV171 ) )
= $true )
| ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1935,plain,
! [SV251: real,SV171: variable,SV63: variable > real] :
( ( ( denotational_Vagree @ SV63 @ ( denotational_repv @ SV63 @ SV171 @ SV251 ) @ ( insert_variable @ SV171 @ bot_bot_set_variable ) )
= $true )
| ( ( SV251
= ( SV63 @ SV171 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1936,plain,
! [SV171: variable,SV63: variable > real,SV251: real] :
( ( ( SV251
= ( SV63 @ SV171 ) )
= $true )
| ( ( SV251
= ( SV63 @ SV171 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1784]) ).
thf(1937,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= $true )
| ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1938,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( denotational_Vagree @ SV71 @ SV174 @ SV253 )
= $true )
| ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1786]) ).
thf(1939,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( denota1419872369iation @ SV71 @ SV174 @ ( uminus1851247844riable @ SV253 ) )
= $true )
| ( ( denotational_Vagree @ SV71 @ SV174 @ SV253 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1787]) ).
thf(1940,plain,
! [SV253: set_variable,SV174: variable > real,SV71: variable > real] :
( ( ( denotational_Vagree @ SV71 @ SV174 @ SV253 )
= $true )
| ( ( denotational_Vagree @ SV71 @ SV174 @ SV253 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1788]) ).
thf(1941,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false )
| ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1789]) ).
thf(1942,plain,
! [SV74: $o] :
( ( ( SV74 = $false )
= $true )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1789]) ).
thf(1943,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false )
| ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1790]) ).
thf(1944,plain,
! [SV74: $o] :
( ( ( SV74 = $false )
= $true )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1790]) ).
thf(1945,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false )
| ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1791]) ).
thf(1946,plain,
! [SV74: $o] :
( ( ( SV74 = $false )
= $true )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1791]) ).
thf(1947,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false )
| ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1792]) ).
thf(1948,plain,
! [SV74: $o] :
( ( ( SV74 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1792]) ).
thf(1949,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( SV74 = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1950,plain,
! [SV74: $o] :
( ( $false = $true )
| ( SV74 = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1794]) ).
thf(1951,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( $false = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1795]) ).
thf(1952,plain,
! [SV74: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV74 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1796]) ).
thf(1953,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1797]) ).
thf(1954,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1797]) ).
thf(1955,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1798]) ).
thf(1956,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1798]) ).
thf(1957,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1799]) ).
thf(1958,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1799]) ).
thf(1959,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1800]) ).
thf(1960,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1800]) ).
thf(1961,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1962,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1963,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1964,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1804]) ).
thf(1965,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1805]) ).
thf(1966,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1805]) ).
thf(1967,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1806]) ).
thf(1968,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1806]) ).
thf(1969,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1807]) ).
thf(1970,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1807]) ).
thf(1971,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1808]) ).
thf(1972,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1808]) ).
thf(1973,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1809]) ).
thf(1974,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1810]) ).
thf(1975,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1976,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1977,plain,
! [SV76: set_variable] :
( ( ( member_variable @ ( sK12_SY424 @ SV76 ) @ SV76 )
= $true )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1813]) ).
thf(1978,plain,
! [SV76: set_variable] :
( ( ( ~ ( member_variable @ ( sK17_SY802 @ SV76 ) @ SV76 ) )
= $false )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1814]) ).
thf(1979,plain,
! [SV76: set_variable] :
( ( ( ( sK12_SY424 @ SV76 )
= ( sK17_SY802 @ SV76 ) )
= $false )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1814]) ).
thf(1980,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1815]) ).
thf(1981,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1815]) ).
thf(1982,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( SV257
!= ( SV77 @ SV178 ) )
= $true )
| ( ( ~ ( member_variable_real @ SV77 @ SV304 ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1816]) ).
thf(1983,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ~ ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
| ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) ) )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1818]) ).
thf(1984,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ~ ( ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
| ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) ) )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1818]) ).
thf(1985,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1820]) ).
thf(1986,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1820]) ).
thf(1987,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ~ ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1821]) ).
thf(1988,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1821]) ).
thf(1989,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1990,plain,
! [SV83: set_variable,SV184: set_variable] :
( ( ( SV184 = bot_bot_set_variable )
= $false )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1991,plain,
! [SV346: variable,SV84: set_variable] :
( ( ( ~ ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= $false )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(1992,plain,
! [SV346: variable,SV84: set_variable] :
( ( ( ~ ( ( SV84 != bot_bot_set_variable ) ) )
= $false )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(1993,plain,
! [SV84: set_variable] :
( ( ( ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= $false )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1994,plain,
! [SV84: set_variable] :
( ( ( SV84 = bot_bot_set_variable )
= $false )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1827]) ).
thf(1995,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1996,plain,
! [SV85: set_variable,SV185: set_variable] :
( ( ( SV185 = bot_bot_set_variable )
= $false )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1830]) ).
thf(1997,plain,
! [SV87: variable,SV187: set_variable] :
( ( ( SV187
= ( insert_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) )
= $true )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1998,plain,
! [SV187: set_variable,SV87: variable] :
( ( ( ~ ( member_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) ) )
= $true )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1832]) ).
thf(1999,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) ) )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(2000,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(2001,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ SV188 ) )
= $false )
| ( ( ~ ~ ( member_variable @ SV88 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1834]) ).
thf(2002,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(2003,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(2004,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ~ ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(2005,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(2006,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $true )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1837]) ).
thf(2007,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
= $true )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1838]) ).
thf(2008,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ~ ( ord_le282106107riable @ SV190 @ SV264 ) )
= $true )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(2009,plain,
! [SV194: set_variable] :
( ( ( ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $false )
| ( ( is_sin155454833riable @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(2010,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV194 )
| ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(2011,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1844]) ).
thf(2012,plain,
! [SV95: set_variable,SV195: set_variable] :
( ( ( SV195 = bot_bot_set_variable )
= $false )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(2013,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) )
= $false )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(2014,plain,
! [SV96: set_variable,SV196: set_variable] :
( ( ( SV196 = bot_bot_set_variable )
= $false )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(2015,plain,
! [SV97: real > variable > real,SV197: char,SV267: denotational_interp,SV310: trm,SV327: denotational_interp,SV339: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(2016,plain,
! [SV97: real > variable > real,SV197: char,SV327: denotational_interp,SV339: trm,SV310: trm,SV267: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false )
| ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(2017,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $true )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(2018,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
= $true )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(2019,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ~ ( ord_le282106107riable @ SV198 @ SV268 ) )
= $true )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(2020,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(2021,plain,
! [SV102: set_variable,SV200: set_variable] :
( ( ( SV200 = bot_bot_set_variable )
= $false )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1855]) ).
thf(2022,plain,
! [SV103: real > variable > real,SV201: char,SV270: denotational_interp,SV311: trm,SV328: denotational_interp,SV340: trm] :
( ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1856]) ).
thf(2023,plain,
! [SV103: real > variable > real,SV201: char,SV328: denotational_interp,SV340: trm,SV311: trm,SV270: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
!= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $true )
| ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1857]) ).
thf(2024,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1858]) ).
thf(2025,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $false )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1858]) ).
thf(2026,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1859]) ).
thf(2027,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( ( SV104 != SV312 )
| ( SV202 != SV271 ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1860]) ).
thf(2028,plain,
! [SV273: set_variable,SV204: variable > real,SV347: real,SV341: trm,SV329: char,SV106: real > variable > real,SV313: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV313 @ SV106 @ SV329 @ SV341 ) )
= $true )
| ( ( denota1419872369iation @ ( SV106 @ SV347 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SV329 ) @ ( insert_variable @ ( dVar @ SV329 ) @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1861]) ).
thf(2029,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ~ ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 = SV275 ) )
| ~ ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 != SV275 ) ) )
= $true )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1862]) ).
thf(2030,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= ( SV207 = SV275 ) )
= $true )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1862]) ).
thf(2031,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(2032,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1864]) ).
thf(2033,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1865]) ).
thf(2034,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1866]) ).
thf(2035,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1867]) ).
thf(2036,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ~ ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) )
= $true )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1868]) ).
thf(2037,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(2038,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable] :
( ( ( ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(2039,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 ) )
= $true )
| ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1871]) ).
thf(2040,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(2041,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(2042,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1874]) ).
thf(2043,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(2044,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1876]) ).
thf(2045,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(2046,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1878]) ).
thf(2047,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ~ ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
| ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) ) )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1880]) ).
thf(2048,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ~ ( ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
| ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) ) )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1880]) ).
thf(2049,plain,
! [SV120: set_variable,SV218: set_variable,SV285: variable > $o] :
( ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1882]) ).
thf(2050,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(2051,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $false )
| ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(2052,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ~ ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) ) )
= $true )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1886]) ).
thf(2053,plain,
! [SV223: set_variable,SV126: variable,SV322: set_variable,SV288: variable] :
( ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1888]) ).
thf(2054,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ~ ( ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1889]) ).
thf(2055,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1889]) ).
thf(2056,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(2057,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(2058,plain,
! [SV131: variable,SV228: set_variable,SV292: variable > $o] :
( ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1891]) ).
thf(2059,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1892]) ).
thf(2060,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( SV292 @ SV131 )
= $false )
| ( ( ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1893]) ).
thf(2061,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable,SV356: variable] :
( ( ( ~ ( ~ ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SV356 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(2062,plain,
! [SV229: set_variable,SV293: variable > $o,SV132: set_variable,SV360: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ SV360 @ SV132 )
| ~ ( SV293 @ SV360 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(2063,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ SV361 @ SV229 )
| ~ ( SV293 @ SV361 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1896]) ).
thf(2064,plain,
! [SV133: variable > real,SV362: variable,SV1: variable > real] :
( ( ( ( SV1 @ SV362 )
= ( SV133 @ SV362 ) )
= $true )
| ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1897]) ).
thf(2065,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( denota1419872369iation @ SV1 @ SV133 @ bot_bot_set_variable )
= $true )
| ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(2066,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 = SV133 )
= $true )
| ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(2067,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ! [SV363: variable] :
( ( SV1 @ SV363 )
= ( SV133 @ SV363 ) ) )
= $true )
| ( ( SV1 = SV133 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1902]) ).
thf(2068,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 = SV133 )
= $true )
| ( ( SV1 = SV133 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1902]) ).
thf(2069,plain,
! [SV364: variable,SV8: variable > $o] :
( ( ( ~ ( SV8 @ SV364 ) )
= $true )
| ( ( SV8 @ ( sK6_SY361 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(2070,plain,
! [SV365: variable,SV9: variable > $o] :
( ( ( ~ ( SV9 @ SV365 ) )
= $true )
| ( ( SV9 @ ( sK7_SY362 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1908]) ).
thf(2071,plain,
! [SV10: set_variable,SV366: variable] :
( ( ( ~ ( member_variable @ SV366 @ SV10 ) )
= $true )
| ( ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1909]) ).
thf(2072,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( SV13 = SV137 )
= $true )
| ( ( member_variable @ SV13 @ SV232 )
= $true )
| ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1913]) ).
thf(2073,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $true )
| ( ( SV13 = SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1914]) ).
thf(2074,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) )
= $true )
| ( ( SV13 = SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1915]) ).
thf(2075,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( member_variable @ SV13 @ ( insert_variable @ SV137 @ SV232 ) )
= $true )
| ( ( member_variable @ SV13 @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(2076,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( ( SV13 = SV137 )
| ( member_variable @ SV13 @ SV232 ) )
= $true )
| ( ( member_variable @ SV13 @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(2077,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) )
= $false )
| ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1918]) ).
thf(2078,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
| ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) )
= $false )
| ( ( denota1419872369iation @ SV298 @ SV158 @ SV337 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1919]) ).
thf(2079,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ SV163 )
= $true )
| ( ( member_variable @ SV46 @ SV248 )
= $true )
| ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1921]) ).
thf(2080,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $true )
| ( ( member_variable @ SV46 @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1922]) ).
thf(2081,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) )
= $true )
| ( ( member_variable @ SV46 @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1923]) ).
thf(2082,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ ( sup_sup_set_variable @ SV163 @ SV248 ) )
= $true )
| ( ( member_variable @ SV46 @ SV248 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1924]) ).
thf(2083,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( ( member_variable @ SV46 @ SV163 )
| ( member_variable @ SV46 @ SV248 ) )
= $true )
| ( ( member_variable @ SV46 @ SV248 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1925]) ).
thf(2084,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV358 )
| ( bot_bot_variable_o @ SV358 ) )
| ~ ( ~ ( SV50 @ SV358 )
| ~ ( bot_bot_variable_o @ SV358 ) ) )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1926]) ).
thf(2085,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV358 )
= ( bot_bot_variable_o @ SV358 ) )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1926]) ).
thf(2086,plain,
! [SV50: variable > $o] :
( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1927]) ).
thf(2087,plain,
! [SV50: variable > $o] :
( ( ( ~ ( SV50 @ ( sK11_SV338 @ SV50 ) ) )
= $true )
| ( ( ~ ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $true )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1928]) ).
thf(2088,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1929]) ).
thf(2089,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1930]) ).
thf(2090,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV367 )
= ( bot_bot_variable_o @ SV367 ) )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1931]) ).
thf(2091,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false ) )
= $true )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1941]) ).
thf(2092,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false ) )
= $true )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1943]) ).
thf(2093,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false ) )
= $true )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1945]) ).
thf(2094,plain,
! [SV74: $o] :
( ( ( ~ ( SV74
| $false ) )
= $true )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1947]) ).
thf(2095,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1953]) ).
thf(2096,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(2097,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1957]) ).
thf(2098,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1959]) ).
thf(2099,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1965]) ).
thf(2100,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1967]) ).
thf(2101,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1969]) ).
thf(2102,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1971]) ).
thf(2103,plain,
! [SV76: set_variable] :
( ( ( member_variable @ ( sK17_SY802 @ SV76 ) @ SV76 )
= $true )
| ( ( is_sin155454833riable @ SV76 )
= $true )
| ( ( SV76 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1978]) ).
thf(2104,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1980]) ).
thf(2105,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1981]) ).
thf(2106,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( ~ ( member_variable_real @ SV77 @ SV304 ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(2107,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
| ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) )
= $true )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2108,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
| ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) )
= $true )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(2109,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $true )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1985]) ).
thf(2110,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $true )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1986]) ).
thf(2111,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1987]) ).
thf(2112,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ~ ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
| ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
| ~ ( ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
| ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1988]) ).
thf(2113,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1988]) ).
thf(2114,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( SV83 != bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1989]) ).
thf(2115,plain,
! [SV83: set_variable,SV184: set_variable] :
( ( ( SV184 != bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1989]) ).
thf(2116,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1990]) ).
thf(2117,plain,
! [SV346: variable,SV84: set_variable] :
( ( ( ~ ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= $true )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1991]) ).
thf(2118,plain,
! [SV346: variable,SV84: set_variable] :
( ( ( SV84 != bot_bot_set_variable )
= $true )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1992]) ).
thf(2119,plain,
! [SV84: set_variable] :
( ( ( ~ ( member_variable @ ( sK24_SY444 @ SV84 ) @ SV84 ) )
= $false )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1993]) ).
thf(2120,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( SV85 != bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1995]) ).
thf(2121,plain,
! [SV85: set_variable,SV185: set_variable] :
( ( ( SV185 != bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1995]) ).
thf(2122,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1996]) ).
thf(2123,plain,
! [SV187: set_variable,SV87: variable] :
( ( ( member_variable @ SV87 @ ( sK10_SY613 @ SV87 @ SV187 ) )
= $false )
| ( ( member_variable @ SV87 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1998]) ).
thf(2124,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) ) )
= $true )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1999]) ).
thf(2125,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
= $true )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2000]) ).
thf(2126,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( ~ ~ ( member_variable @ SV88 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2001]) ).
thf(2127,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $true )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2002]) ).
thf(2128,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $true )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2003]) ).
thf(2129,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2004]) ).
thf(2130,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ~ ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
| ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
| ~ ( ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
| ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2005]) ).
thf(2131,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2005]) ).
thf(2132,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2133,plain,
! [SV90: set_variable,SV264: set_variable,SV190: set_variable] :
( ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2008]) ).
thf(2134,plain,
! [SV194: set_variable] :
( ( ( SV194
!= ( insert_variable @ ( sK25_SY622 @ SV194 ) @ bot_bot_set_variable ) )
= $false )
| ( ( is_sin155454833riable @ SV194 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2009]) ).
thf(2135,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( ~ ( is_sin155454833riable @ SV194 ) )
= $false )
| ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2010]) ).
thf(2136,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( ~ ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2010]) ).
thf(2137,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( SV95 != bot_bot_set_variable )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2011]) ).
thf(2138,plain,
! [SV95: set_variable,SV195: set_variable] :
( ( ( SV195 != bot_bot_set_variable )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2011]) ).
thf(2139,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
| ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2012]) ).
thf(2140,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( SV96 != bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2013]) ).
thf(2141,plain,
! [SV96: set_variable,SV196: set_variable] :
( ( ( SV196 != bot_bot_set_variable )
= $false )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2013]) ).
thf(2142,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
| ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2014]) ).
thf(2143,plain,
! [SV97: real > variable > real,SV197: char,SV267: denotational_interp,SV310: trm,SV327: denotational_interp,SV339: trm] :
( ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2144,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
| ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2016]) ).
thf(2145,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2016]) ).
thf(2146,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2018]) ).
thf(2147,plain,
! [SV98: set_variable,SV268: set_variable,SV198: set_variable] :
( ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ~ ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2148,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( SV102 != bot_bot_set_variable )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2020]) ).
thf(2149,plain,
! [SV102: set_variable,SV200: set_variable] :
( ( ( SV200 != bot_bot_set_variable )
= $false )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2020]) ).
thf(2150,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
| ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2021]) ).
thf(2151,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
| ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2022]) ).
thf(2152,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2022]) ).
thf(2153,plain,
! [SV103: real > variable > real,SV201: char,SV328: denotational_interp,SV340: trm,SV311: trm,SV270: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false )
| ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2023]) ).
thf(2154,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2155,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2156,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( SV104 != SV271 )
= $true )
| ( ( SV202 != SV312 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2026]) ).
thf(2157,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( SV104 != SV312 )
= $true )
| ( ( SV202 != SV271 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2027]) ).
thf(2158,plain,
! [SV273: set_variable,SV204: variable > real,SV347: real,SV341: trm,SV329: char,SV106: real > variable > real,SV313: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV313 @ SV106 @ SV329 @ SV341 )
= $false )
| ( ( denota1419872369iation @ ( SV106 @ SV347 ) @ SV204 @ ( sup_sup_set_variable @ SV273 @ ( insert_variable @ ( rVar @ SV329 ) @ ( insert_variable @ ( dVar @ SV329 ) @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( SV106 @ zero_zero_real ) @ SV204 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2028]) ).
thf(2159,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ~ ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 = SV275 ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 != SV275 ) ) )
= $true )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2029]) ).
thf(2160,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2032]) ).
thf(2161,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( SV208 != bot_bot_set_variable )
= $true )
| ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2033]) ).
thf(2162,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2034]) ).
thf(2163,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2035]) ).
thf(2164,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) )
= $true )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2036]) ).
thf(2165,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2037]) ).
thf(2166,plain,
! [SV342: set_variable,SV210: variable > real,SV316: variable > real] :
( ( ( ~ ~ ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
| ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2038]) ).
thf(2167,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2039]) ).
thf(2168,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) ) )
= $true )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2169,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $true )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2041]) ).
thf(2170,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2043]) ).
thf(2171,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( SV115 != bot_bot_set_variable )
= $true )
| ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2044]) ).
thf(2172,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2045]) ).
thf(2173,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2046]) ).
thf(2174,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
| ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) )
= $true )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2175,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
| ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) )
= $true )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2048]) ).
thf(2176,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2177,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $false )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2050]) ).
thf(2178,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2050]) ).
thf(2179,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ~ ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
| ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) ) )
= $false )
| ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2051]) ).
thf(2180,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) ) )
= $true )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2052]) ).
thf(2181,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
| ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2053]) ).
thf(2182,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2053]) ).
thf(2183,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ( ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2054]) ).
thf(2184,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2056]) ).
thf(2185,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2057]) ).
thf(2186,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2187,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $false )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2059]) ).
thf(2188,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2059]) ).
thf(2189,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2060]) ).
thf(2190,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable,SV356: variable] :
( ( ( ~ ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SV356 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2191,plain,
! [SV229: set_variable,SV293: variable > $o,SV132: set_variable,SV360: variable] :
( ( ( ~ ( ~ ( member_variable @ SV360 @ SV132 )
| ~ ( SV293 @ SV360 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2062]) ).
thf(2192,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( ~ ( ~ ( member_variable @ SV361 @ SV229 )
| ~ ( SV293 @ SV361 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2063]) ).
thf(2193,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( ! [SV368: variable] :
( ( SV1 @ SV368 )
= ( SV133 @ SV368 ) ) )
= $true )
| ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2066]) ).
thf(2194,plain,
! [SV133: variable > real,SV1: variable > real] :
( ( ( SV1 = SV133 )
= $true )
| ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2066]) ).
thf(2195,plain,
! [SV133: variable > real,SV369: variable,SV1: variable > real] :
( ( ( ( SV1 @ SV369 )
= ( SV133 @ SV369 ) )
= $true )
| ( ( SV1 = SV133 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2067]) ).
thf(2196,plain,
! [SV364: variable,SV8: variable > $o] :
( ( ( SV8 @ SV364 )
= $false )
| ( ( SV8 @ ( sK6_SY361 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2069]) ).
thf(2197,plain,
! [SV365: variable,SV9: variable > $o] :
( ( ( SV9 @ SV365 )
= $false )
| ( ( SV9 @ ( sK7_SY362 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2070]) ).
thf(2198,plain,
! [SV10: set_variable,SV366: variable] :
( ( ( member_variable @ SV366 @ SV10 )
= $false )
| ( ( member_variable @ ( sK8_SY363 @ SV10 ) @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2071]) ).
thf(2199,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( SV13 = SV137 )
= $true )
| ( ( member_variable @ SV13 @ SV232 )
= $true )
| ( ( SV13 = SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2074]) ).
thf(2200,plain,
! [SV232: set_variable,SV137: variable,SV13: variable] :
( ( ( SV13 = SV137 )
= $true )
| ( ( member_variable @ SV13 @ SV232 )
= $true )
| ( ( member_variable @ SV13 @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2201,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 ) )
= $false )
| ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2202,plain,
! [SV337: set_variable,SV158: variable > real,SV298: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) )
= $false )
| ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2203,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV158 @ SV298 @ SV337 ) )
= $false )
| ( ( denota1419872369iation @ SV298 @ SV158 @ SV337 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2078]) ).
thf(2204,plain,
! [SV337: set_variable,SV158: variable > real,SV298: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV298 @ SV158 @ SV337 ) )
= $false )
| ( ( denota1419872369iation @ SV298 @ SV158 @ SV337 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2078]) ).
thf(2205,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ SV163 )
= $true )
| ( ( member_variable @ SV46 @ SV248 )
= $true )
| ( ( member_variable @ SV46 @ SV163 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2081]) ).
thf(2206,plain,
! [SV248: set_variable,SV163: set_variable,SV46: variable] :
( ( ( member_variable @ SV46 @ SV163 )
= $true )
| ( ( member_variable @ SV46 @ SV248 )
= $true )
| ( ( member_variable @ SV46 @ SV248 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2083]) ).
thf(2207,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV358 )
| ( bot_bot_variable_o @ SV358 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV358 )
| ~ ( bot_bot_variable_o @ SV358 ) ) )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2084]) ).
thf(2208,plain,
! [SV50: variable > $o] :
( ( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2086]) ).
thf(2209,plain,
! [SV50: variable > $o] :
( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( ~ ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $true )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2210,plain,
! [SV50: variable > $o] :
( ( ( ! [SV370: variable] :
( ( SV50 @ SV370 )
= ( bot_bot_variable_o @ SV370 ) ) )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2089]) ).
thf(2211,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2089]) ).
thf(2212,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV367 )
| ( bot_bot_variable_o @ SV367 ) )
| ~ ( ~ ( SV50 @ SV367 )
| ~ ( bot_bot_variable_o @ SV367 ) ) )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2090]) ).
thf(2213,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV367 )
= ( bot_bot_variable_o @ SV367 ) )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2090]) ).
thf(2214,plain,
! [SV74: $o] :
( ( ( SV74
| $false )
= $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2215,plain,
! [SV74: $o] :
( ( ( SV74
| $false )
= $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2092]) ).
thf(2216,plain,
! [SV74: $o] :
( ( ( SV74
| $false )
= $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2093]) ).
thf(2217,plain,
! [SV74: $o] :
( ( ( SV74
| $false )
= $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2094]) ).
thf(2218,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2095]) ).
thf(2219,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2096]) ).
thf(2220,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2097]) ).
thf(2221,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2222,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2099]) ).
thf(2223,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2100]) ).
thf(2224,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2101]) ).
thf(2225,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2102]) ).
thf(2226,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2105]) ).
thf(2227,plain,
! [SV178: variable,SV257: real,SV304: set_variable_real,SV77: variable > real] :
( ( ( member_variable_real @ SV77 @ SV304 )
= $false )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2228,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
= $true )
| ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 )
= $true )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2107]) ).
thf(2229,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 ) )
= $true )
| ( ( ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) )
= $true )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2230,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV371: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SV371 @ SV80 )
= ( member_variable_real @ SV371 @ SV307 ) ) )
= $true )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2110]) ).
thf(2231,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2111]) ).
thf(2232,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ~ ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
| ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2233,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ~ ( ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
| ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2234,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2113]) ).
thf(2235,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( SV83 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2114]) ).
thf(2236,plain,
! [SV83: set_variable,SV184: set_variable] :
( ( ( SV184 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2115]) ).
thf(2237,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
!= bot_bot_set_variable )
= $false )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2116]) ).
thf(2238,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ~ ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2116]) ).
thf(2239,plain,
! [SV346: variable,SV84: set_variable] :
( ( ( ! [SY444: variable] :
~ ( member_variable @ SY444 @ SV84 ) )
= $false )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2240,plain,
! [SV346: variable,SV84: set_variable] :
( ( ( SV84 = bot_bot_set_variable )
= $false )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2241,plain,
! [SV84: set_variable] :
( ( ( member_variable @ ( sK24_SY444 @ SV84 ) @ SV84 )
= $true )
| ( ( SV84 = bot_bot_set_variable )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2119]) ).
thf(2242,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( SV85 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2243,plain,
! [SV85: set_variable,SV185: set_variable] :
( ( ( SV185 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2121]) ).
thf(2244,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
!= bot_bot_set_variable )
= $false )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2122]) ).
thf(2245,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ~ ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2122]) ).
thf(2246,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2124]) ).
thf(2247,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2248,plain,
! [SV188: set_variable,SV262: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ SV262 ) )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2249,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV372: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
| ( ( member_variable_real @ SV372 @ SV89 )
= ( member_variable_real @ SV372 @ SV308 ) ) )
= $true )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2250,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2129]) ).
thf(2251,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ~ ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
| ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2252,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ~ ( ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
| ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) ) )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2253,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2131]) ).
thf(2254,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV90 @ SV264 ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2255,plain,
! [SV90: set_variable,SV264: set_variable,SV190: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV190 @ SV264 ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2256,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
= $false )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2133]) ).
thf(2257,plain,
! [SV194: set_variable] :
( ( ( SV194
= ( insert_variable @ ( sK25_SY622 @ SV194 ) @ bot_bot_set_variable ) )
= $true )
| ( ( is_sin155454833riable @ SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2134]) ).
thf(2258,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( is_sin155454833riable @ SV194 )
= $true )
| ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2259,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( ~ ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $true )
| ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2136]) ).
thf(2260,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( SV95 = bot_bot_set_variable )
= $true )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2137]) ).
thf(2261,plain,
! [SV95: set_variable,SV195: set_variable] :
( ( ( SV195 = bot_bot_set_variable )
= $true )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2138]) ).
thf(2262,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $false )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2139]) ).
thf(2263,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ~ ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2139]) ).
thf(2264,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( SV96 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2140]) ).
thf(2265,plain,
! [SV96: set_variable,SV196: set_variable] :
( ( ( SV196 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2141]) ).
thf(2266,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
!= bot_bot_set_variable )
= $false )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2142]) ).
thf(2267,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ~ ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2142]) ).
thf(2268,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
| ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2143]) ).
thf(2269,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $true )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2143]) ).
thf(2270,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2144]) ).
thf(2271,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV98 @ SV268 ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2146]) ).
thf(2272,plain,
! [SV98: set_variable,SV268: set_variable,SV198: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV198 @ SV268 ) )
= $false )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2146]) ).
thf(2273,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
| ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
= $false )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2274,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( SV102 = bot_bot_set_variable )
= $true )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2148]) ).
thf(2275,plain,
! [SV102: set_variable,SV200: set_variable] :
( ( ( SV200 = bot_bot_set_variable )
= $true )
| ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2149]) ).
thf(2276,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( bot_bot_set_variable
!= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $false )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2277,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ~ ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
= $false )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2278,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2151]) ).
thf(2279,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
| ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2153]) ).
thf(2280,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2153]) ).
thf(2281,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) ) )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2155]) ).
thf(2282,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( SV104 = SV271 )
= $false )
| ( ( SV202 != SV312 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2156]) ).
thf(2283,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( SV104 = SV312 )
= $false )
| ( ( SV202 != SV271 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2157]) ).
thf(2284,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 = SV275 ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 != SV275 ) ) )
= $true )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2159]) ).
thf(2285,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2160]) ).
thf(2286,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2161]) ).
thf(2287,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2288,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2163]) ).
thf(2289,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) )
= $true )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2290,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) ) )
= $true )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2291,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 ) )
= $false )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2292,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable] :
( ( ( ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2293,plain,
! [SV342: set_variable,SV210: variable > real,SV316: variable > real] :
( ( ( ~ ~ ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2166]) ).
thf(2294,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2166]) ).
thf(2295,plain,
! [SV279: set_variable,SV317: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2167]) ).
thf(2296,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2168]) ).
thf(2297,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2170]) ).
thf(2298,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2171]) ).
thf(2299,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 != bot_bot_set_variable )
= $true )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2300,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2173]) ).
thf(2301,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
= $true )
| ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 )
= $true )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2174]) ).
thf(2302,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 ) )
= $true )
| ( ( ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) )
= $true )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2175]) ).
thf(2303,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $false )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2176]) ).
thf(2304,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2176]) ).
thf(2305,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2306,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2178]) ).
thf(2307,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ~ ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 ) )
= $false )
| ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2308,plain,
! [SV120: set_variable,SV218: set_variable,SV285: variable > $o] :
( ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2309,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) ) )
= $true )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2310,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) ) )
= $true )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2311,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2181]) ).
thf(2312,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2313,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real,SV373: variable > real] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2314,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2315,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $false )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2316,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2317,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2187]) ).
thf(2318,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2188]) ).
thf(2319,plain,
! [SV228: set_variable,SV292: variable > $o,SV131: variable] :
( ( ( ~ ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
| ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2189]) ).
thf(2320,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable,SV356: variable] :
( ( ( ~ ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) ) )
= $true )
| ( ( ~ ( SV293 @ SV356 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2190]) ).
thf(2321,plain,
! [SV229: set_variable,SV293: variable > $o,SV132: set_variable,SV360: variable] :
( ( ( ~ ( member_variable @ SV360 @ SV132 )
| ~ ( SV293 @ SV360 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2191]) ).
thf(2322,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( ~ ( member_variable @ SV361 @ SV229 )
| ~ ( SV293 @ SV361 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2323,plain,
! [SV133: variable > real,SV374: variable,SV1: variable > real] :
( ( ( ( SV1 @ SV374 )
= ( SV133 @ SV374 ) )
= $true )
| ( ( ( SV1 @ ( sK16_SV345 @ SV133 @ SV1 ) )
= ( SV133 @ ( sK16_SV345 @ SV133 @ SV1 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2193]) ).
thf(2324,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= $true )
| ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2201]) ).
thf(2325,plain,
! [SV337: set_variable,SV158: variable > real,SV298: variable > real] :
( ( ( denota1419872369iation @ SV298 @ SV158 @ SV337 )
= $true )
| ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2202]) ).
thf(2326,plain,
! [SV337: set_variable,SV298: variable > real,SV158: variable > real] :
( ( ( denota1419872369iation @ SV158 @ SV298 @ SV337 )
= $true )
| ( ( denota1419872369iation @ SV298 @ SV158 @ SV337 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2203]) ).
thf(2327,plain,
! [SV337: set_variable,SV158: variable > real,SV298: variable > real] :
( ( ( denota1419872369iation @ SV298 @ SV158 @ SV337 )
= $true )
| ( ( denota1419872369iation @ SV298 @ SV158 @ SV337 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2328,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV358 )
| ( bot_bot_variable_o @ SV358 ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV358 )
| ~ ( bot_bot_variable_o @ SV358 ) ) )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2207]) ).
thf(2329,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2330,plain,
! [SV50: variable > $o] :
( ( ( SV50 != bot_bot_variable_o )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2331,plain,
! [SV50: variable > $o] :
( ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( ~ ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2209]) ).
thf(2332,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV375 )
= ( bot_bot_variable_o @ SV375 ) )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2333,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV367 )
| ( bot_bot_variable_o @ SV367 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV367 )
| ~ ( bot_bot_variable_o @ SV367 ) ) )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2212]) ).
thf(2334,plain,
! [SV74: $o] :
( ( SV74 = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2335,plain,
! [SV74: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2336,plain,
! [SV74: $o] :
( ( SV74 = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2215]) ).
thf(2337,plain,
! [SV74: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2215]) ).
thf(2338,plain,
! [SV74: $o] :
( ( SV74 = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2216]) ).
thf(2339,plain,
! [SV74: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2216]) ).
thf(2340,plain,
! [SV74: $o] :
( ( SV74 = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2217]) ).
thf(2341,plain,
! [SV74: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV74
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2217]) ).
thf(2342,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2218]) ).
thf(2343,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2218]) ).
thf(2344,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2219]) ).
thf(2345,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2219]) ).
thf(2346,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2220]) ).
thf(2347,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2220]) ).
thf(2348,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2221]) ).
thf(2349,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2221]) ).
thf(2350,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2351,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2352,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2223]) ).
thf(2353,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2223]) ).
thf(2354,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2224]) ).
thf(2355,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2224]) ).
thf(2356,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2225]) ).
thf(2357,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2225]) ).
thf(2358,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( SV257
!= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2226]) ).
thf(2359,plain,
! [SV257: real,SV178: variable,SV304: set_variable_real,SV77: variable > real] :
( ( ( ~ ( member_variable_real @ SV77 @ SV304 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2226]) ).
thf(2360,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
| ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
= $false )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2227]) ).
thf(2361,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
= $false )
| ( ( ~ ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 ) )
= $true )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2229]) ).
thf(2362,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV371: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) ) )
= $true )
| ( ( ( member_variable_real @ SV371 @ SV80 )
= ( member_variable_real @ SV371 @ SV307 ) )
= $true )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2230]) ).
thf(2363,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2364,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2365,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
| ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2366,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
| ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2233]) ).
thf(2367,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2234]) ).
thf(2368,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2234]) ).
thf(2369,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( sup_sup_set_variable @ SV83 @ SV184 )
= bot_bot_set_variable )
= $true )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2237]) ).
thf(2370,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ~ ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) ) )
= $true )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2238]) ).
thf(2371,plain,
! [SV84: set_variable,SV346: variable] :
( ( ( ~ ( member_variable @ ( sK29_SY444 @ SV346 @ SV84 ) @ SV84 ) )
= $false )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2239]) ).
thf(2372,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( sup_sup_set_variable @ SV85 @ SV185 )
= bot_bot_set_variable )
= $true )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2244]) ).
thf(2373,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ~ ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) ) )
= $true )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2245]) ).
thf(2374,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ SV188 ) )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2247]) ).
thf(2375,plain,
! [SV188: set_variable,SV262: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ SV262 ) )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2247]) ).
thf(2376,plain,
! [SV188: set_variable,SV262: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ SV262 )
= $true )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( ~ ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2377,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV372: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV372 @ SV189 @ SV263 ) )
= $true )
| ( ( ( member_variable_real @ SV372 @ SV89 )
= ( member_variable_real @ SV372 @ SV308 ) )
= $true )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2249]) ).
thf(2378,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2379,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2380,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
| ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2251]) ).
thf(2381,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
| ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2382,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2253]) ).
thf(2383,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2253]) ).
thf(2384,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ord_le282106107riable @ SV90 @ SV264 )
= $true )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2254]) ).
thf(2385,plain,
! [SV90: set_variable,SV264: set_variable,SV190: set_variable] :
( ( ( ord_le282106107riable @ SV190 @ SV264 )
= $true )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2255]) ).
thf(2386,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 ) )
= $false )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2256]) ).
thf(2387,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
= $false )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2256]) ).
thf(2388,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( ! [SY622: variable] :
( SV194
!= ( insert_variable @ SY622 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2389,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV95 @ SV195 ) )
= $true )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2390,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ~ ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) ) )
= $true )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2263]) ).
thf(2391,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( sup_sup_set_variable @ SV96 @ SV196 )
= bot_bot_set_variable )
= $true )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2266]) ).
thf(2392,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ~ ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) ) )
= $true )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2267]) ).
thf(2393,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2268]) ).
thf(2394,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2395,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ord_le282106107riable @ SV98 @ SV268 )
= $true )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2271]) ).
thf(2396,plain,
! [SV98: set_variable,SV268: set_variable,SV198: set_variable] :
( ( ( ord_le282106107riable @ SV198 @ SV268 )
= $true )
| ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2272]) ).
thf(2397,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 ) )
= $false )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2273]) ).
thf(2398,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
= $false )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2273]) ).
thf(2399,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( bot_bot_set_variable
= ( sup_sup_set_variable @ SV102 @ SV200 ) )
= $true )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2276]) ).
thf(2400,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ~ ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) ) )
= $true )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2277]) ).
thf(2401,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2402,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2279]) ).
thf(2403,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2281]) ).
thf(2404,plain,
! [SV271: variable,SV104: variable,SV312: variable,SV202: variable] :
( ( ( SV202 = SV312 )
= $false )
| ( ( SV104 = SV271 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2405,plain,
! [SV312: variable,SV104: variable,SV271: variable,SV202: variable] :
( ( ( SV202 = SV271 )
= $false )
| ( ( SV104 = SV312 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2406,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 != SV275 ) ) )
= $true )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2284]) ).
thf(2407,plain,
! [SV109: variable,SV275: set_variable,SV207: set_variable] :
( ( ( SV207 = SV275 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 != SV275 ) ) )
= $true )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2284]) ).
thf(2408,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2409,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2410,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $false )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2411,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2412,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2289]) ).
thf(2413,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
| ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2414,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $true )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2415,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable] :
( ( ( ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $true )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2292]) ).
thf(2416,plain,
! [SV342: set_variable,SV210: variable > real,SV316: variable > real] :
( ( ( ~ ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 ) )
= $true )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2293]) ).
thf(2417,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $false )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2418,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2419,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2296]) ).
thf(2420,plain,
! [SV279: set_variable,SV317: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2296]) ).
thf(2421,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2297]) ).
thf(2422,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2423,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $false )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2424,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2300]) ).
thf(2425,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
= $false )
| ( ( ~ ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 ) )
= $true )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2426,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2303]) ).
thf(2427,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2304]) ).
thf(2428,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV376: variable] :
( ( ( ~ ( member_variable @ SV376 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SV376 ) )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2305]) ).
thf(2429,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2306]) ).
thf(2430,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2307]) ).
thf(2431,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2308]) ).
thf(2432,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2309]) ).
thf(2433,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
| ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2310]) ).
thf(2434,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2435,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2312]) ).
thf(2436,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2312]) ).
thf(2437,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real,SV373: variable > real] :
( ( ( ~ ( ~ ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2313]) ).
thf(2438,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2439,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2315]) ).
thf(2440,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2316]) ).
thf(2441,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV377: variable] :
( ( ( ~ ( member_variable @ SV377 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SV377 ) )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2317]) ).
thf(2442,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2318]) ).
thf(2443,plain,
! [SV228: set_variable,SV292: variable > $o,SV131: variable] :
( ( ( ~ ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2319]) ).
thf(2444,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2319]) ).
thf(2445,plain,
! [SV293: variable > $o,SV229: set_variable,SV132: set_variable,SV356: variable] :
( ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( ~ ( SV293 @ SV356 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2446,plain,
! [SV229: set_variable,SV293: variable > $o,SV132: set_variable,SV360: variable] :
( ( ( ~ ( member_variable @ SV360 @ SV132 ) )
= $true )
| ( ( ~ ( SV293 @ SV360 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2447,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( ~ ( member_variable @ SV361 @ SV229 ) )
= $true )
| ( ( ~ ( SV293 @ SV361 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2322]) ).
thf(2448,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( SV50 @ SV358 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV358 )
| ~ ( bot_bot_variable_o @ SV358 ) ) )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2449,plain,
! [SV50: variable > $o,SV358: variable] :
( ( ( bot_bot_variable_o @ SV358 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV358 )
| ~ ( bot_bot_variable_o @ SV358 ) ) )
= $true )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2450,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2329]) ).
thf(2451,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2452,plain,
! [SV50: variable > $o] :
( ( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
| ( SV50 != bot_bot_variable_o ) )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2331]) ).
thf(2453,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV375 )
| ( bot_bot_variable_o @ SV375 ) )
| ~ ( ~ ( SV50 @ SV375 )
| ~ ( bot_bot_variable_o @ SV375 ) ) )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2332]) ).
thf(2454,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV375 )
= ( bot_bot_variable_o @ SV375 ) )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2332]) ).
thf(2455,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV367 )
| ( bot_bot_variable_o @ SV367 ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV367 )
| ~ ( bot_bot_variable_o @ SV367 ) ) )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2333]) ).
thf(2456,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( SV74 = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2334]) ).
thf(2457,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( $false = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2458,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( SV74 = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2336]) ).
thf(2459,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( $false = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2460,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( SV74 = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2338]) ).
thf(2461,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2462,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( SV74 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2340]) ).
thf(2463,plain,
! [SV74: $o] :
( ( ( ~ SV74
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2464,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2342]) ).
thf(2465,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2343]) ).
thf(2466,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2467,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2468,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2469,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2347]) ).
thf(2470,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2348]) ).
thf(2471,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2349]) ).
thf(2472,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(2473,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2474,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2475,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2476,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2477,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2478,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2479,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2480,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( SV257
= ( SV77 @ SV178 ) )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2358]) ).
thf(2481,plain,
! [SV257: real,SV178: variable,SV304: set_variable_real,SV77: variable > real] :
( ( ( member_variable_real @ SV77 @ SV304 )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2359]) ).
thf(2482,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2360]) ).
thf(2483,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( ~ ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
= $false )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2360]) ).
thf(2484,plain,
! [SV78: variable > real,SV179: set_variable,SV258: set_variable_real,SV305: set_variable_real] :
( ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV305 )
= $false )
| ( ( member_variable_real @ ( sK13_SY753 @ SV305 @ SV258 @ SV179 @ SV78 ) @ SV258 )
= $false )
| ( ( ( static_selectlike @ SV258 @ SV78 @ SV179 )
= ( static_selectlike @ SV305 @ SV78 @ SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2361]) ).
thf(2485,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV371: variable > real] :
( ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ SV371 @ SV80 )
= ( member_variable_real @ SV371 @ SV307 ) )
= $true )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2362]) ).
thf(2486,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $true )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2363]) ).
thf(2487,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2364]) ).
thf(2488,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2365]) ).
thf(2489,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 ) )
= $true )
| ( ( ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2490,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $true )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2367]) ).
thf(2491,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $true )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2368]) ).
thf(2492,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( ( SV83 != bot_bot_set_variable )
| ( SV184 != bot_bot_set_variable ) )
= $false )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2370]) ).
thf(2493,plain,
! [SV84: set_variable,SV346: variable] :
( ( ( member_variable @ ( sK29_SY444 @ SV346 @ SV84 ) @ SV84 )
= $true )
| ( ( member_variable @ SV346 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2371]) ).
thf(2494,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( ( SV85 != bot_bot_set_variable )
| ( SV185 != bot_bot_set_variable ) )
= $false )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2373]) ).
thf(2495,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ SV188 ) )
= $true )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2374]) ).
thf(2496,plain,
! [SV188: set_variable,SV262: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ SV262 ) )
= $true )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2375]) ).
thf(2497,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
| ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2376]) ).
thf(2498,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV372: variable > real] :
( ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ SV372 @ SV89 )
= ( member_variable_real @ SV372 @ SV308 ) )
= $true )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2377]) ).
thf(2499,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2378]) ).
thf(2500,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2501,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2380]) ).
thf(2502,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 ) )
= $true )
| ( ( ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2381]) ).
thf(2503,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $true )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2382]) ).
thf(2504,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $true )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2383]) ).
thf(2505,plain,
! [SV264: set_variable,SV190: set_variable,SV90: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV90 @ SV190 ) @ SV264 )
= $true )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2506,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) ) )
= $true )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2387]) ).
thf(2507,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( SV194
!= ( insert_variable @ ( sK30_SY622 @ SV349 @ SV194 ) @ bot_bot_set_variable ) )
= $false )
| ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2388]) ).
thf(2508,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( ( SV95 != bot_bot_set_variable )
| ( SV195 != bot_bot_set_variable ) )
= $false )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2390]) ).
thf(2509,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( ( SV96 != bot_bot_set_variable )
| ( SV196 != bot_bot_set_variable ) )
= $false )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2510,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2393]) ).
thf(2511,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2394]) ).
thf(2512,plain,
! [SV310: trm,SV267: denotational_interp,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2394]) ).
thf(2513,plain,
! [SV268: set_variable,SV198: set_variable,SV98: set_variable] :
( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ SV98 @ SV198 ) @ SV268 )
= $true )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2514,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) ) )
= $true )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2515,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( ( SV102 != bot_bot_set_variable )
| ( SV200 != bot_bot_set_variable ) )
= $false )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2400]) ).
thf(2516,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2401]) ).
thf(2517,plain,
! [SV311: trm,SV270: denotational_interp,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2401]) ).
thf(2518,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2402]) ).
thf(2519,plain,
! [SV202: variable,SV312: variable,SV271: variable,SV104: variable] :
( ( ( SV104 != SV271 )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2403]) ).
thf(2520,plain,
! [SV271: variable,SV104: variable,SV312: variable,SV202: variable] :
( ( ( SV202 != SV312 )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2403]) ).
thf(2521,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $false )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2404]) ).
thf(2522,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
| ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $false )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2405]) ).
thf(2523,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 != SV275 ) )
= $false )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2524,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
| ( SV207 != SV275 ) )
= $false )
| ( ( SV207 = SV275 )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2407]) ).
thf(2525,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2408]) ).
thf(2526,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2408]) ).
thf(2527,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2409]) ).
thf(2528,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
| ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2410]) ).
thf(2529,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2530,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2531,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2412]) ).
thf(2532,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2412]) ).
thf(2533,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2413]) ).
thf(2534,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2413]) ).
thf(2535,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV378: variable] :
( ( ( ~ ~ ( member_variable @ SV378 @ SV342 )
| ( ( SV210 @ SV378 )
= ( SV316 @ SV378 ) ) )
= $true )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2536,plain,
! [SV342: set_variable,SV210: variable > real,SV316: variable > real] :
( ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false )
| ( ( ~ ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2416]) ).
thf(2537,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 ) )
= $false )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2417]) ).
thf(2538,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable] :
( ( ( ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $false )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2417]) ).
thf(2539,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2540,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2541,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $true )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2419]) ).
thf(2542,plain,
! [SV279: set_variable,SV317: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $true )
| ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2420]) ).
thf(2543,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2421]) ).
thf(2544,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2421]) ).
thf(2545,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2422]) ).
thf(2546,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2423]) ).
thf(2547,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2548,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2549,plain,
! [SV116: variable > real,SV214: set_variable,SV282: set_variable_real,SV319: set_variable_real] :
( ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV319 )
= $false )
| ( ( member_variable_real @ ( sK15_SY768 @ SV319 @ SV282 @ SV214 @ SV116 ) @ SV282 )
= $false )
| ( ( ( static_selectlike @ SV282 @ SV116 @ ( uminus1851247844riable @ SV214 ) )
= ( static_selectlike @ SV319 @ SV116 @ ( uminus1851247844riable @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2425]) ).
thf(2550,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV379: variable] :
( ( ( ~ ( member_variable @ SV379 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SV379 ) )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2426]) ).
thf(2551,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2552,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV376: variable] :
( ( ( ~ ( member_variable @ SV376 @ ( sup_sup_set_variable @ SV120 @ SV218 ) ) )
= $true )
| ( ( SV285 @ SV376 )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2428]) ).
thf(2553,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $false )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2554,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2555,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2430]) ).
thf(2556,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
| ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2431]) ).
thf(2557,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2432]) ).
thf(2558,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2432]) ).
thf(2559,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2560,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( ~ ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 ) )
= $false )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2561,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2434]) ).
thf(2562,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2434]) ).
thf(2563,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2435]) ).
thf(2564,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2436]) ).
thf(2565,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real,SV373: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2437]) ).
thf(2566,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2438]) ).
thf(2567,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV380: variable] :
( ( ( ~ ( member_variable @ SV380 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SV380 ) )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2439]) ).
thf(2568,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2569,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV377: variable] :
( ( ( ~ ( member_variable @ SV377 @ ( insert_variable @ SV131 @ SV228 ) ) )
= $true )
| ( ( SV292 @ SV377 )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2570,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 ) )
= $false )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2571,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2572,plain,
! [SV228: set_variable,SV292: variable > $o,SV131: variable] :
( ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( ~ ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2443]) ).
thf(2573,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2574,plain,
! [SV229: set_variable,SV132: set_variable,SV356: variable,SV293: variable > $o] :
( ( ( SV293 @ SV356 )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2445]) ).
thf(2575,plain,
! [SV229: set_variable,SV293: variable > $o,SV132: set_variable,SV360: variable] :
( ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( ~ ( SV293 @ SV360 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2576,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( ~ ( SV293 @ SV361 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2447]) ).
thf(2577,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV358 )
| ~ ( bot_bot_variable_o @ SV358 ) )
= $false )
| ( ( SV50 @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2448]) ).
thf(2578,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV358 )
| ~ ( bot_bot_variable_o @ SV358 ) )
= $false )
| ( ( bot_bot_variable_o @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2579,plain,
! [SV50: variable > $o] :
( ( ( ! [SV381: variable] :
( ( SV50 @ SV381 )
= ( bot_bot_variable_o @ SV381 ) ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2451]) ).
thf(2580,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2451]) ).
thf(2581,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
!= bot_bot_set_variable )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2452]) ).
thf(2582,plain,
! [SV50: variable > $o] :
( ( ( SV50 != bot_bot_variable_o )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2452]) ).
thf(2583,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV375 )
| ( bot_bot_variable_o @ SV375 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV375 )
| ~ ( bot_bot_variable_o @ SV375 ) ) )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2453]) ).
thf(2584,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( SV50 @ SV367 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV367 )
| ~ ( bot_bot_variable_o @ SV367 ) ) )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2455]) ).
thf(2585,plain,
! [SV50: variable > $o,SV367: variable] :
( ( ( bot_bot_variable_o @ SV367 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV367 )
| ~ ( bot_bot_variable_o @ SV367 ) ) )
= $true )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2455]) ).
thf(2586,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( SV74 = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2587,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( SV74 = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2588,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( $false = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2457]) ).
thf(2589,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2457]) ).
thf(2590,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( SV74 = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2458]) ).
thf(2591,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( SV74 = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2458]) ).
thf(2592,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( $false = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2459]) ).
thf(2593,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2459]) ).
thf(2594,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( SV74 = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2460]) ).
thf(2595,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( SV74 = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2460]) ).
thf(2596,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2461]) ).
thf(2597,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2461]) ).
thf(2598,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( SV74 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2462]) ).
thf(2599,plain,
! [SV74: $o] :
( ( ( ~ $false ) = $false )
| ( SV74 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2462]) ).
thf(2600,plain,
! [SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2463]) ).
thf(2601,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2463]) ).
thf(2602,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2464]) ).
thf(2603,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2464]) ).
thf(2604,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2465]) ).
thf(2605,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2465]) ).
thf(2606,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2607,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2608,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2467]) ).
thf(2609,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2467]) ).
thf(2610,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2468]) ).
thf(2611,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2468]) ).
thf(2612,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2469]) ).
thf(2613,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2469]) ).
thf(2614,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2470]) ).
thf(2615,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2470]) ).
thf(2616,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2471]) ).
thf(2617,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2471]) ).
thf(2618,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2472]) ).
thf(2619,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2472]) ).
thf(2620,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2473]) ).
thf(2621,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2473]) ).
thf(2622,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2474]) ).
thf(2623,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2474]) ).
thf(2624,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2475]) ).
thf(2625,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2475]) ).
thf(2626,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2476]) ).
thf(2627,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2476]) ).
thf(2628,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2477]) ).
thf(2629,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2477]) ).
thf(2630,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2478]) ).
thf(2631,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2478]) ).
thf(2632,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2479]) ).
thf(2633,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2479]) ).
thf(2634,plain,
! [SV304: set_variable_real,SV257: real,SV178: variable,SV77: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV77 @ SV178 @ SV257 ) @ ( static_selectlike @ SV304 @ SV77 @ ( insert_variable @ SV178 @ bot_bot_set_variable ) ) )
= $true )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2482]) ).
thf(2635,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( ~ ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) ) )
= $true )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2483]) ).
thf(2636,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV371 @ SV80 )
| ( member_variable_real @ SV371 @ SV307 ) )
| ~ ( ~ ( member_variable_real @ SV371 @ SV80 )
| ~ ( member_variable_real @ SV371 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2485]) ).
thf(2637,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( ( member_variable_real @ SV371 @ SV80 )
= ( member_variable_real @ SV371 @ SV307 ) )
= $true )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2485]) ).
thf(2638,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV382: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SV382 @ SV80 )
= ( member_variable_real @ SV382 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2487]) ).
thf(2639,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2488]) ).
thf(2640,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( ~ ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2489]) ).
thf(2641,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV383: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SV383 @ SV80 )
= ( member_variable_real @ SV383 @ SV307 ) ) )
= $true )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2491]) ).
thf(2642,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( SV83 != bot_bot_set_variable )
= $false )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2492]) ).
thf(2643,plain,
! [SV83: set_variable,SV184: set_variable] :
( ( ( SV184 != bot_bot_set_variable )
= $false )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2492]) ).
thf(2644,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( SV85 != bot_bot_set_variable )
= $false )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2645,plain,
! [SV85: set_variable,SV185: set_variable] :
( ( ( SV185 != bot_bot_set_variable )
= $false )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2646,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ SV188 )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2647,plain,
! [SV188: set_variable,SV262: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ SV262 )
= $false )
| ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2496]) ).
thf(2648,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) ) )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2649,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2650,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV372 @ SV89 )
| ( member_variable_real @ SV372 @ SV308 ) )
| ~ ( ~ ( member_variable_real @ SV372 @ SV89 )
| ~ ( member_variable_real @ SV372 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2498]) ).
thf(2651,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( ( member_variable_real @ SV372 @ SV89 )
= ( member_variable_real @ SV372 @ SV308 ) )
= $true )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2498]) ).
thf(2652,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV384: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
| ( ( member_variable_real @ SV384 @ SV89 )
= ( member_variable_real @ SV384 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(2653,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2501]) ).
thf(2654,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( ~ ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $true )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2502]) ).
thf(2655,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV385: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
| ( ( member_variable_real @ SV385 @ SV89 )
= ( member_variable_real @ SV385 @ SV308 ) ) )
= $true )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2504]) ).
thf(2656,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV90 @ SV264 )
| ~ ( ord_le282106107riable @ SV190 @ SV264 ) )
= $false )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2506]) ).
thf(2657,plain,
! [SV349: variable,SV194: set_variable] :
( ( ( SV194
= ( insert_variable @ ( sK30_SY622 @ SV349 @ SV194 ) @ bot_bot_set_variable ) )
= $true )
| ( ( SV194
= ( insert_variable @ SV349 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2507]) ).
thf(2658,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( SV95 != bot_bot_set_variable )
= $false )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2508]) ).
thf(2659,plain,
! [SV95: set_variable,SV195: set_variable] :
( ( ( SV195 != bot_bot_set_variable )
= $false )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2508]) ).
thf(2660,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( SV96 != bot_bot_set_variable )
= $false )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2509]) ).
thf(2661,plain,
! [SV96: set_variable,SV196: set_variable] :
( ( ( SV196 != bot_bot_set_variable )
= $false )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2509]) ).
thf(2662,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2510]) ).
thf(2663,plain,
! [SV310: trm,SV267: denotational_interp,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2510]) ).
thf(2664,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2511]) ).
thf(2665,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2512]) ).
thf(2666,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV98 @ SV268 )
| ~ ( ord_le282106107riable @ SV198 @ SV268 ) )
= $false )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2514]) ).
thf(2667,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( SV102 != bot_bot_set_variable )
= $false )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2515]) ).
thf(2668,plain,
! [SV102: set_variable,SV200: set_variable] :
( ( ( SV200 != bot_bot_set_variable )
= $false )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2515]) ).
thf(2669,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2516]) ).
thf(2670,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2517]) ).
thf(2671,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2518]) ).
thf(2672,plain,
! [SV311: trm,SV270: denotational_interp,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( ~ ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) ) )
= $true )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2518]) ).
thf(2673,plain,
! [SV202: variable,SV312: variable,SV271: variable,SV104: variable] :
( ( ( SV104 = SV271 )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2519]) ).
thf(2674,plain,
! [SV271: variable,SV104: variable,SV312: variable,SV202: variable] :
( ( ( SV202 = SV312 )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2520]) ).
thf(2675,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2521]) ).
thf(2676,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $false )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2521]) ).
thf(2677,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
!= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2522]) ).
thf(2678,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) ) )
= $false )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2522]) ).
thf(2679,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
= $false )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2523]) ).
thf(2680,plain,
! [SV109: variable,SV275: set_variable,SV207: set_variable] :
( ( ( SV207 != SV275 )
= $false )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2523]) ).
thf(2681,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( insert_variable @ SV109 @ SV207 )
!= ( insert_variable @ SV109 @ SV275 ) )
= $false )
| ( ( SV207 = SV275 )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2524]) ).
thf(2682,plain,
! [SV109: variable,SV275: set_variable,SV207: set_variable] :
( ( ( SV207 != SV275 )
= $false )
| ( ( SV207 = SV275 )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2524]) ).
thf(2683,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2525]) ).
thf(2684,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2526]) ).
thf(2685,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2527]) ).
thf(2686,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2527]) ).
thf(2687,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
!= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2528]) ).
thf(2688,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2528]) ).
thf(2689,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2529]) ).
thf(2690,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2530]) ).
thf(2691,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2531]) ).
thf(2692,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2532]) ).
thf(2693,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ SV330 )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2533]) ).
thf(2694,plain,
! [SV209: variable,SV330: set_variable_real,SV315: real,SV111: variable,SV277: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV277 @ SV111 @ SV315 ) @ ( static_selectlike @ SV330 @ SV277 @ ( insert_variable @ SV209 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV111 = SV209 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2534]) ).
thf(2695,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV378: variable] :
( ( ( ~ ~ ( member_variable @ SV378 @ SV342 ) )
= $true )
| ( ( ( SV210 @ SV378 )
= ( SV316 @ SV378 ) )
= $true )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2696,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
| ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $false )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2536]) ).
thf(2697,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $true )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2537]) ).
thf(2698,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable] :
( ( ( ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $true )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2538]) ).
thf(2699,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) ) )
= $true )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2700,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ ( sup_sup_set_variable @ SV279 @ SV317 ) )
= $true )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2540]) ).
thf(2701,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2543]) ).
thf(2702,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2544]) ).
thf(2703,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2545]) ).
thf(2704,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2545]) ).
thf(2705,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2546]) ).
thf(2706,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) ) )
= $false )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2546]) ).
thf(2707,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2547]) ).
thf(2708,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2548]) ).
thf(2709,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV379: variable] :
( ( ( ~ ( member_variable @ SV379 @ ( sup_sup_set_variable @ SV120 @ SV218 ) ) )
= $true )
| ( ( SV285 @ SV379 )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2550]) ).
thf(2710,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $false )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2551]) ).
thf(2711,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2551]) ).
thf(2712,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV376: variable] :
( ( ( member_variable @ SV376 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $false )
| ( ( SV285 @ SV376 )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2552]) ).
thf(2713,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2553]) ).
thf(2714,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2554]) ).
thf(2715,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
| ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2555]) ).
thf(2716,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2556]) ).
thf(2717,plain,
! [SV218: set_variable,SV120: set_variable,SV285: variable > $o] :
( ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2556]) ).
thf(2718,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2557]) ).
thf(2719,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2558]) ).
thf(2720,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ ( static_selectlike @ SV334 @ SV287 @ ( insert_variable @ SV222 @ bot_bot_set_variable ) ) )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2559]) ).
thf(2721,plain,
! [SV222: variable,SV334: set_variable_real,SV321: real,SV125: variable,SV287: variable > real] :
( ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 )
= $true )
| ( ( member_variable_real @ ( denotational_repv @ SV287 @ SV125 @ SV321 ) @ SV334 )
= $false )
| ( ( SV125 = SV222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2560]) ).
thf(2722,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2723,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2562]) ).
thf(2724,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real,SV386: variable > real] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(2725,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2564]) ).
thf(2726,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real,SV373: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2565]) ).
thf(2727,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2566]) ).
thf(2728,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV380: variable] :
( ( ( ~ ( member_variable @ SV380 @ ( insert_variable @ SV131 @ SV228 ) ) )
= $true )
| ( ( SV292 @ SV380 )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2567]) ).
thf(2729,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 ) )
= $false )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2568]) ).
thf(2730,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2568]) ).
thf(2731,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV377: variable] :
( ( ( member_variable @ SV377 @ ( insert_variable @ SV131 @ SV228 ) )
= $false )
| ( ( SV292 @ SV377 )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2569]) ).
thf(2732,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( SV292 @ SV131 )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2570]) ).
thf(2733,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2734,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) )
| ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2572]) ).
thf(2735,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2736,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2737,plain,
! [SV356: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2574]) ).
thf(2738,plain,
! [SV229: set_variable,SV132: set_variable,SV360: variable,SV293: variable > $o] :
( ( ( SV293 @ SV360 )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2575]) ).
thf(2739,plain,
! [SV132: set_variable,SV229: set_variable,SV361: variable,SV293: variable > $o] :
( ( ( SV293 @ SV361 )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( ~ ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2576]) ).
thf(2740,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV358 ) )
= $false )
| ( ( SV50 @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2741,plain,
! [SV50: variable > $o,SV358: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV358 ) )
= $false )
| ( ( SV50 @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2742,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV358 ) )
= $false )
| ( ( bot_bot_variable_o @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2578]) ).
thf(2743,plain,
! [SV50: variable > $o,SV358: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV358 ) )
= $false )
| ( ( bot_bot_variable_o @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2578]) ).
thf(2744,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV387 )
= ( bot_bot_variable_o @ SV387 ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2579]) ).
thf(2745,plain,
! [SV50: variable > $o] :
( ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2581]) ).
thf(2746,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2582]) ).
thf(2747,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV375 )
| ( bot_bot_variable_o @ SV375 ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV375 )
| ~ ( bot_bot_variable_o @ SV375 ) ) )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2583]) ).
thf(2748,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV367 )
| ~ ( bot_bot_variable_o @ SV367 ) )
= $false )
| ( ( SV50 @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2584]) ).
thf(2749,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV367 )
| ~ ( bot_bot_variable_o @ SV367 ) )
= $false )
| ( ( bot_bot_variable_o @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2585]) ).
thf(2750,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( SV74 = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2586]) ).
thf(2751,plain,
! [SV74: $o] :
( ( $false = $true )
| ( SV74 = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2587]) ).
thf(2752,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( $false = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2588]) ).
thf(2753,plain,
! [SV74: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV74 = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2589]) ).
thf(2754,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( SV74 = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2590]) ).
thf(2755,plain,
! [SV74: $o] :
( ( $false = $true )
| ( SV74 = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2591]) ).
thf(2756,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( $false = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2592]) ).
thf(2757,plain,
! [SV74: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV74 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2593]) ).
thf(2758,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( SV74 = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2594]) ).
thf(2759,plain,
! [SV74: $o] :
( ( $false = $true )
| ( SV74 = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2595]) ).
thf(2760,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2596]) ).
thf(2761,plain,
! [SV74: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV74 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2597]) ).
thf(2762,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( SV74 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2598]) ).
thf(2763,plain,
! [SV74: $o] :
( ( $false = $true )
| ( SV74 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2599]) ).
thf(2764,plain,
! [SV74: $o] :
( ( SV74 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2600]) ).
thf(2765,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2601]) ).
thf(2766,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2602]) ).
thf(2767,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2603]) ).
thf(2768,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2604]) ).
thf(2769,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2605]) ).
thf(2770,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2606]) ).
thf(2771,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2607]) ).
thf(2772,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2608]) ).
thf(2773,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2609]) ).
thf(2774,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2610]) ).
thf(2775,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2611]) ).
thf(2776,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2612]) ).
thf(2777,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2613]) ).
thf(2778,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2614]) ).
thf(2779,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2615]) ).
thf(2780,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2616]) ).
thf(2781,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2617]) ).
thf(2782,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2618]) ).
thf(2783,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2619]) ).
thf(2784,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2620]) ).
thf(2785,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2621]) ).
thf(2786,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2622]) ).
thf(2787,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2623]) ).
thf(2788,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2624]) ).
thf(2789,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2790,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2626]) ).
thf(2791,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2627]) ).
thf(2792,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2628]) ).
thf(2793,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2629]) ).
thf(2794,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2630]) ).
thf(2795,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2631]) ).
thf(2796,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2632]) ).
thf(2797,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2798,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( ( SV257
!= ( SV77 @ SV178 ) )
| ~ ( member_variable_real @ SV77 @ SV304 ) )
= $false )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2635]) ).
thf(2799,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV371 @ SV80 )
| ( member_variable_real @ SV371 @ SV307 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV371 @ SV80 )
| ~ ( member_variable_real @ SV371 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2636]) ).
thf(2800,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV382: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) ) )
= $true )
| ( ( ( member_variable_real @ SV382 @ SV80 )
= ( member_variable_real @ SV382 @ SV307 ) )
= $true )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2638]) ).
thf(2801,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2639]) ).
thf(2802,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2639]) ).
thf(2803,plain,
! [SV181: variable > real,SV260: set_variable,SV80: set_variable_real,SV307: set_variable_real] :
( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2640]) ).
thf(2804,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV383: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) ) )
= $true )
| ( ( ( member_variable_real @ SV383 @ SV80 )
= ( member_variable_real @ SV383 @ SV307 ) )
= $true )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2641]) ).
thf(2805,plain,
! [SV184: set_variable,SV83: set_variable] :
( ( ( SV83 = bot_bot_set_variable )
= $true )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2642]) ).
thf(2806,plain,
! [SV83: set_variable,SV184: set_variable] :
( ( ( SV184 = bot_bot_set_variable )
= $true )
| ( ( SV83 = bot_bot_set_variable )
= $false )
| ( ( SV184 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2643]) ).
thf(2807,plain,
! [SV185: set_variable,SV85: set_variable] :
( ( ( SV85 = bot_bot_set_variable )
= $true )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2644]) ).
thf(2808,plain,
! [SV85: set_variable,SV185: set_variable] :
( ( ( SV185 = bot_bot_set_variable )
= $true )
| ( ( SV85 = bot_bot_set_variable )
= $false )
| ( ( SV185 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2645]) ).
thf(2809,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) ) )
= $true )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2648]) ).
thf(2810,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) ) )
= $true )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2649]) ).
thf(2811,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV372 @ SV89 )
| ( member_variable_real @ SV372 @ SV308 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV372 @ SV89 )
| ~ ( member_variable_real @ SV372 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2650]) ).
thf(2812,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV384: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV384 @ SV189 @ SV263 ) )
= $true )
| ( ( ( member_variable_real @ SV384 @ SV89 )
= ( member_variable_real @ SV384 @ SV308 ) )
= $true )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2652]) ).
thf(2813,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2653]) ).
thf(2814,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2653]) ).
thf(2815,plain,
! [SV189: variable > real,SV263: set_variable,SV89: set_variable_real,SV308: set_variable_real] :
( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( ~ ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2654]) ).
thf(2816,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV385: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV385 @ SV189 @ SV263 ) )
= $true )
| ( ( ( member_variable_real @ SV385 @ SV89 )
= ( member_variable_real @ SV385 @ SV308 ) )
= $true )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2655]) ).
thf(2817,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV90 @ SV264 ) )
= $false )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2656]) ).
thf(2818,plain,
! [SV90: set_variable,SV264: set_variable,SV190: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV190 @ SV264 ) )
= $false )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2656]) ).
thf(2819,plain,
! [SV195: set_variable,SV95: set_variable] :
( ( ( SV95 = bot_bot_set_variable )
= $true )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2658]) ).
thf(2820,plain,
! [SV95: set_variable,SV195: set_variable] :
( ( ( SV195 = bot_bot_set_variable )
= $true )
| ( ( SV95 = bot_bot_set_variable )
= $false )
| ( ( SV195 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2659]) ).
thf(2821,plain,
! [SV196: set_variable,SV96: set_variable] :
( ( ( SV96 = bot_bot_set_variable )
= $true )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2660]) ).
thf(2822,plain,
! [SV96: set_variable,SV196: set_variable] :
( ( ( SV196 = bot_bot_set_variable )
= $true )
| ( ( SV96 = bot_bot_set_variable )
= $false )
| ( ( SV196 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2661]) ).
thf(2823,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2662]) ).
thf(2824,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
| ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2663]) ).
thf(2825,plain,
! [SV327: denotational_interp,SV339: trm,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2664]) ).
thf(2826,plain,
! [SV310: trm,SV267: denotational_interp,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2664]) ).
thf(2827,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2665]) ).
thf(2828,plain,
! [SV310: trm,SV267: denotational_interp,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2665]) ).
thf(2829,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV98 @ SV268 ) )
= $false )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2830,plain,
! [SV98: set_variable,SV268: set_variable,SV198: set_variable] :
( ( ( ~ ( ord_le282106107riable @ SV198 @ SV268 ) )
= $false )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2831,plain,
! [SV200: set_variable,SV102: set_variable] :
( ( ( SV102 = bot_bot_set_variable )
= $true )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2667]) ).
thf(2832,plain,
! [SV102: set_variable,SV200: set_variable] :
( ( ( SV200 = bot_bot_set_variable )
= $true )
| ( ( SV102 = bot_bot_set_variable )
= $false )
| ( ( SV200 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2668]) ).
thf(2833,plain,
! [SV328: denotational_interp,SV340: trm,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2834,plain,
! [SV311: trm,SV270: denotational_interp,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2835,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2670]) ).
thf(2836,plain,
! [SV270: denotational_interp,SV311: trm,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2670]) ).
thf(2837,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2671]) ).
thf(2838,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
| ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2672]) ).
thf(2839,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( ( SV104 != SV312 )
| ( SV202 != SV271 ) )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2673]) ).
thf(2840,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( ( SV104 != SV312 )
| ( SV202 != SV271 ) )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2674]) ).
thf(2841,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2675]) ).
thf(2842,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2676]) ).
thf(2843,plain,
! [SV312: variable,SV271: variable,SV202: variable,SV104: variable] :
( ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2677]) ).
thf(2844,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
| ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2678]) ).
thf(2845,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= $true )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2679]) ).
thf(2846,plain,
! [SV109: variable,SV275: set_variable,SV207: set_variable] :
( ( ( SV207 = SV275 )
= $true )
| ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2680]) ).
thf(2847,plain,
! [SV275: set_variable,SV207: set_variable,SV109: variable] :
( ( ( ( insert_variable @ SV109 @ SV207 )
= ( insert_variable @ SV109 @ SV275 ) )
= $true )
| ( ( SV207 = SV275 )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2681]) ).
thf(2848,plain,
! [SV109: variable,SV275: set_variable,SV207: set_variable] :
( ( ( SV207 = SV275 )
= $true )
| ( ( SV207 = SV275 )
= $false )
| ( ( member_variable @ SV109 @ SV275 )
= $true )
| ( ( member_variable @ SV109 @ SV207 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2682]) ).
thf(2849,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(2850,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2684]) ).
thf(2851,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2685]) ).
thf(2852,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2686]) ).
thf(2853,plain,
! [SV276: set_variable,SV208: set_variable,SV110: variable] :
( ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2687]) ).
thf(2854,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2688]) ).
thf(2855,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2690]) ).
thf(2856,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV378: variable] :
( ( ( ~ ( member_variable @ SV378 @ SV342 ) )
= $false )
| ( ( ( SV210 @ SV378 )
= ( SV316 @ SV378 ) )
= $true )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2695]) ).
thf(2857,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV210 @ SV316 @ SV342 ) )
= $false )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2696]) ).
thf(2858,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable] :
( ( ( ~ ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $false )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2696]) ).
thf(2859,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV388: variable] :
( ( ( ~ ~ ( member_variable @ SV388 @ SV342 )
| ( ( SV210 @ SV388 )
= ( SV316 @ SV388 ) ) )
= $true )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2698]) ).
thf(2860,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
| ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2699]) ).
thf(2861,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2701]) ).
thf(2862,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2702]) ).
thf(2863,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2703]) ).
thf(2864,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2704]) ).
thf(2865,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2705]) ).
thf(2866,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2706]) ).
thf(2867,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2708]) ).
thf(2868,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV379: variable] :
( ( ( member_variable @ SV379 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $false )
| ( ( SV285 @ SV379 )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2709]) ).
thf(2869,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2710]) ).
thf(2870,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2711]) ).
thf(2871,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV389: variable] :
( ( ( ~ ( member_variable @ SV389 @ SV120 )
| ( SV285 @ SV389 ) )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2713]) ).
thf(2872,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV390: variable] :
( ( ( ~ ( member_variable @ SV390 @ SV218 )
| ( SV285 @ SV390 ) )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2714]) ).
thf(2873,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2715]) ).
thf(2874,plain,
! [SV218: set_variable,SV120: set_variable,SV285: variable > $o] :
( ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2715]) ).
thf(2875,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2716]) ).
thf(2876,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2877,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2722]) ).
thf(2878,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2722]) ).
thf(2879,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2723]) ).
thf(2880,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real,SV386: variable > real] :
( ( ( ~ ( ~ ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(2881,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(2882,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real,SV373: variable > real] :
( ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(2883,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2727]) ).
thf(2884,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV380: variable] :
( ( ( member_variable @ SV380 @ ( insert_variable @ SV131 @ SV228 ) )
= $false )
| ( ( SV292 @ SV380 )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2885,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( SV292 @ SV131 )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2729]) ).
thf(2886,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2730]) ).
thf(2887,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV391: variable] :
( ( ( ~ ( member_variable @ SV391 @ SV228 )
| ( SV292 @ SV391 ) )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2733]) ).
thf(2888,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ~ ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2734]) ).
thf(2889,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2734]) ).
thf(2890,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2735]) ).
thf(2891,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2736]) ).
thf(2892,plain,
! [SV356: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2737]) ).
thf(2893,plain,
! [SV356: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2737]) ).
thf(2894,plain,
! [SV360: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2738]) ).
thf(2895,plain,
! [SV361: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) )
| ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2896,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( SV50 @ SV358 )
= $true )
| ( ( SV50 @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2740]) ).
thf(2897,plain,
! [SV50: variable > $o,SV358: variable] :
( ( ( bot_bot_variable_o @ SV358 )
= $true )
| ( ( SV50 @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2741]) ).
thf(2898,plain,
! [SV358: variable,SV50: variable > $o] :
( ( ( SV50 @ SV358 )
= $true )
| ( ( bot_bot_variable_o @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2742]) ).
thf(2899,plain,
! [SV50: variable > $o,SV358: variable] :
( ( ( bot_bot_variable_o @ SV358 )
= $true )
| ( ( bot_bot_variable_o @ SV358 )
= $false )
| ( ( ( collect_variable @ SV50 )
= bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2743]) ).
thf(2900,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV387 )
| ( bot_bot_variable_o @ SV387 ) )
| ~ ( ~ ( SV50 @ SV387 )
| ~ ( bot_bot_variable_o @ SV387 ) ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2744]) ).
thf(2901,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV387 )
= ( bot_bot_variable_o @ SV387 ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2744]) ).
thf(2902,plain,
! [SV50: variable > $o] :
( ( ( ! [SV392: variable] :
( ( SV50 @ SV392 )
= ( bot_bot_variable_o @ SV392 ) ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2746]) ).
thf(2903,plain,
! [SV50: variable > $o] :
( ( ( SV50 = bot_bot_variable_o )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2746]) ).
thf(2904,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( SV50 @ SV375 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV375 )
| ~ ( bot_bot_variable_o @ SV375 ) ) )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2747]) ).
thf(2905,plain,
! [SV50: variable > $o,SV375: variable] :
( ( ( bot_bot_variable_o @ SV375 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV375 )
| ~ ( bot_bot_variable_o @ SV375 ) ) )
= $true )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2747]) ).
thf(2906,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV367 ) )
= $false )
| ( ( SV50 @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2748]) ).
thf(2907,plain,
! [SV50: variable > $o,SV367: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV367 ) )
= $false )
| ( ( SV50 @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2748]) ).
thf(2908,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV367 ) )
= $false )
| ( ( bot_bot_variable_o @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2749]) ).
thf(2909,plain,
! [SV50: variable > $o,SV367: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV367 ) )
= $false )
| ( ( bot_bot_variable_o @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2749]) ).
thf(2910,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( SV257
!= ( SV77 @ SV178 ) )
= $false )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2798]) ).
thf(2911,plain,
! [SV178: variable,SV257: real,SV304: set_variable_real,SV77: variable > real] :
( ( ( ~ ( member_variable_real @ SV77 @ SV304 ) )
= $false )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2798]) ).
thf(2912,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( ( member_variable_real @ SV371 @ SV80 )
| ( member_variable_real @ SV371 @ SV307 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV371 @ SV80 )
| ~ ( member_variable_real @ SV371 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2799]) ).
thf(2913,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV382: variable > real] :
( ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ SV382 @ SV80 )
= ( member_variable_real @ SV382 @ SV307 ) )
= $true )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2800]) ).
thf(2914,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2801]) ).
thf(2915,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2802]) ).
thf(2916,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
| ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(2917,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV383: variable > real] :
( ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ SV383 @ SV80 )
= ( member_variable_real @ SV383 @ SV307 ) )
= $true )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(2918,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ ( sup_sup_set_variable @ SV188 @ SV262 ) )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2809]) ).
thf(2919,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ SV188 )
| ~ ~ ( member_variable @ SV88 @ SV262 ) )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2810]) ).
thf(2920,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( ( member_variable_real @ SV372 @ SV89 )
| ( member_variable_real @ SV372 @ SV308 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV372 @ SV89 )
| ~ ( member_variable_real @ SV372 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2811]) ).
thf(2921,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV384: variable > real] :
( ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ SV384 @ SV89 )
= ( member_variable_real @ SV384 @ SV308 ) )
= $true )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2812]) ).
thf(2922,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2813]) ).
thf(2923,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2814]) ).
thf(2924,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
| ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2815]) ).
thf(2925,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV385: variable > real] :
( ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ SV385 @ SV89 )
= ( member_variable_real @ SV385 @ SV308 ) )
= $true )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2816]) ).
thf(2926,plain,
! [SV190: set_variable,SV264: set_variable,SV90: set_variable] :
( ( ( ord_le282106107riable @ SV90 @ SV264 )
= $true )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2817]) ).
thf(2927,plain,
! [SV90: set_variable,SV264: set_variable,SV190: set_variable] :
( ( ( ord_le282106107riable @ SV190 @ SV264 )
= $true )
| ( ( ord_le282106107riable @ SV90 @ SV264 )
= $false )
| ( ( ord_le282106107riable @ SV190 @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2818]) ).
thf(2928,plain,
! [SV327: denotational_interp,SV339: trm,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2823]) ).
thf(2929,plain,
! [SV310: trm,SV267: denotational_interp,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2823]) ).
thf(2930,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2824]) ).
thf(2931,plain,
! [SV267: denotational_interp,SV310: trm,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2824]) ).
thf(2932,plain,
! [SV327: denotational_interp,SV339: trm,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $true )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2825]) ).
thf(2933,plain,
! [SV310: trm,SV267: denotational_interp,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $true )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2826]) ).
thf(2934,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $true )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2827]) ).
thf(2935,plain,
! [SV310: trm,SV267: denotational_interp,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $true )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV267 @ SV310 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) )
= ( denota1863255036rm_sem @ SV327 @ SV339 @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2828]) ).
thf(2936,plain,
! [SV198: set_variable,SV268: set_variable,SV98: set_variable] :
( ( ( ord_le282106107riable @ SV98 @ SV268 )
= $true )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2829]) ).
thf(2937,plain,
! [SV98: set_variable,SV268: set_variable,SV198: set_variable] :
( ( ( ord_le282106107riable @ SV198 @ SV268 )
= $true )
| ( ( ord_le282106107riable @ SV98 @ SV268 )
= $false )
| ( ( ord_le282106107riable @ SV198 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2830]) ).
thf(2938,plain,
! [SV328: denotational_interp,SV340: trm,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $true )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2833]) ).
thf(2939,plain,
! [SV311: trm,SV270: denotational_interp,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $true )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2834]) ).
thf(2940,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $true )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2835]) ).
thf(2941,plain,
! [SV270: denotational_interp,SV311: trm,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $true )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) @ ( SV103 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV201 ) @ ( insert_variable @ ( dVar @ SV201 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2836]) ).
thf(2942,plain,
! [SV328: denotational_interp,SV340: trm,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2837]) ).
thf(2943,plain,
! [SV311: trm,SV270: denotational_interp,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2837]) ).
thf(2944,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2838]) ).
thf(2945,plain,
! [SV311: trm,SV270: denotational_interp,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( ~ ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 ) )
= $false )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2838]) ).
thf(2946,plain,
! [SV202: variable,SV271: variable,SV312: variable,SV104: variable] :
( ( ( SV104 != SV312 )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2839]) ).
thf(2947,plain,
! [SV312: variable,SV104: variable,SV271: variable,SV202: variable] :
( ( ( SV202 != SV271 )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2839]) ).
thf(2948,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( SV104 != SV312 )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2840]) ).
thf(2949,plain,
! [SV104: variable,SV312: variable,SV271: variable,SV202: variable] :
( ( ( SV202 != SV271 )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2840]) ).
thf(2950,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) ) )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2842]) ).
thf(2951,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ~ ( ( SV104 != SV271 )
| ( SV202 != SV312 ) ) )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2844]) ).
thf(2952,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2849]) ).
thf(2953,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 != bot_bot_set_variable )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2849]) ).
thf(2954,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2850]) ).
thf(2955,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276 != bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2850]) ).
thf(2956,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(2957,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
| ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2854]) ).
thf(2958,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(2959,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV378: variable] :
( ( ( member_variable @ SV378 @ SV342 )
= $true )
| ( ( ( SV210 @ SV378 )
= ( SV316 @ SV378 ) )
= $true )
| ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2856]) ).
thf(2960,plain,
! [SV342: set_variable,SV316: variable > real,SV210: variable > real] :
( ( ( denota1419872369iation @ SV210 @ SV316 @ SV342 )
= $true )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2857]) ).
thf(2961,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable] :
( ( ( ! [SY796: variable] :
( ~ ~ ( member_variable @ SY796 @ SV342 )
| ( ( SV210 @ SY796 )
= ( SV316 @ SY796 ) ) ) )
= $true )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2858]) ).
thf(2962,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV388: variable] :
( ( ( ~ ~ ( member_variable @ SV388 @ SV342 ) )
= $true )
| ( ( ( SV210 @ SV388 )
= ( SV316 @ SV388 ) )
= $true )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(2963,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV279 ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2860]) ).
thf(2964,plain,
! [SV279: set_variable,SV317: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( ~ ( denotational_Vagree @ SV113 @ SV211 @ SV317 ) )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2860]) ).
thf(2965,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(2966,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 != bot_bot_set_variable )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(2967,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2862]) ).
thf(2968,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213 != bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2862]) ).
thf(2969,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2864]) ).
thf(2970,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
| ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(2971,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2867]) ).
thf(2972,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV393: variable] :
( ( ( ~ ( member_variable @ SV393 @ SV120 )
| ( SV285 @ SV393 ) )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2869]) ).
thf(2973,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV394: variable] :
( ( ( ~ ( member_variable @ SV394 @ SV218 )
| ( SV285 @ SV394 ) )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2870]) ).
thf(2974,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV389: variable] :
( ( ( ~ ( member_variable @ SV389 @ SV120 ) )
= $true )
| ( ( SV285 @ SV389 )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(2975,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV390: variable] :
( ( ( ~ ( member_variable @ SV390 @ SV218 ) )
= $true )
| ( ( SV285 @ SV390 )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2872]) ).
thf(2976,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( ~ ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2873]) ).
thf(2977,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(2978,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2875]) ).
thf(2979,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(2980,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(2981,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2877]) ).
thf(2982,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2878]) ).
thf(2983,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
= $false )
| ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2879]) ).
thf(2984,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real,SV386: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2880]) ).
thf(2985,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2881]) ).
thf(2986,plain,
! [SV336: char,SV344: real > variable > real,SV128: trm,SV225: denotational_interp,SV373: variable > real,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2882]) ).
thf(2987,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2883]) ).
thf(2988,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2883]) ).
thf(2989,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV395: variable] :
( ( ( ~ ( member_variable @ SV395 @ SV228 )
| ( SV292 @ SV395 ) )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2886]) ).
thf(2990,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV391: variable] :
( ( ( ~ ( member_variable @ SV391 @ SV228 ) )
= $true )
| ( ( SV292 @ SV391 )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2887]) ).
thf(2991,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable] :
( ( ( ! [SY747: variable] :
( ~ ( member_variable @ SY747 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SY747 ) ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2888]) ).
thf(2992,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2889]) ).
thf(2993,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV396: variable] :
( ( ( ~ ( member_variable @ SV396 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SV396 ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2890]) ).
thf(2994,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2891]) ).
thf(2995,plain,
! [SV356: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2892]) ).
thf(2996,plain,
! [SV356: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2893]) ).
thf(2997,plain,
! [SV360: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2894]) ).
thf(2998,plain,
! [SV360: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2894]) ).
thf(2999,plain,
! [SV361: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2895]) ).
thf(3000,plain,
! [SV361: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) ) )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2895]) ).
thf(3001,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV387 )
| ( bot_bot_variable_o @ SV387 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV387 )
| ~ ( bot_bot_variable_o @ SV387 ) ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2900]) ).
thf(3002,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV397 )
= ( bot_bot_variable_o @ SV397 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2902]) ).
thf(3003,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV375 )
| ~ ( bot_bot_variable_o @ SV375 ) )
= $false )
| ( ( SV50 @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2904]) ).
thf(3004,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV375 )
| ~ ( bot_bot_variable_o @ SV375 ) )
= $false )
| ( ( bot_bot_variable_o @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(3005,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( SV50 @ SV367 )
= $true )
| ( ( SV50 @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2906]) ).
thf(3006,plain,
! [SV50: variable > $o,SV367: variable] :
( ( ( bot_bot_variable_o @ SV367 )
= $true )
| ( ( SV50 @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2907]) ).
thf(3007,plain,
! [SV367: variable,SV50: variable > $o] :
( ( ( SV50 @ SV367 )
= $true )
| ( ( bot_bot_variable_o @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2908]) ).
thf(3008,plain,
! [SV50: variable > $o,SV367: variable] :
( ( ( bot_bot_variable_o @ SV367 )
= $true )
| ( ( bot_bot_variable_o @ SV367 )
= $false )
| ( ( SV50 = bot_bot_variable_o )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2909]) ).
thf(3009,plain,
! [SV304: set_variable_real,SV178: variable,SV77: variable > real,SV257: real] :
( ( ( SV257
= ( SV77 @ SV178 ) )
= $true )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2910]) ).
thf(3010,plain,
! [SV178: variable,SV257: real,SV304: set_variable_real,SV77: variable > real] :
( ( ( member_variable_real @ SV77 @ SV304 )
= $true )
| ( ( SV257
= ( SV77 @ SV178 ) )
= $false )
| ( ( member_variable_real @ SV77 @ SV304 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2911]) ).
thf(3011,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( member_variable_real @ SV371 @ SV80 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV371 @ SV80 )
| ~ ( member_variable_real @ SV371 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2912]) ).
thf(3012,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV371: variable > real] :
( ( ( member_variable_real @ SV371 @ SV307 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV371 @ SV80 )
| ~ ( member_variable_real @ SV371 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2912]) ).
thf(3013,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV382 @ SV80 )
| ( member_variable_real @ SV382 @ SV307 ) )
| ~ ( ~ ( member_variable_real @ SV382 @ SV80 )
| ~ ( member_variable_real @ SV382 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2913]) ).
thf(3014,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( ( member_variable_real @ SV382 @ SV80 )
= ( member_variable_real @ SV382 @ SV307 ) )
= $true )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2913]) ).
thf(3015,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV398: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SV398 @ SV80 )
= ( member_variable_real @ SV398 @ SV307 ) ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2915]) ).
thf(3016,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
!= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2916]) ).
thf(3017,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ~ ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2916]) ).
thf(3018,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV383 @ SV80 )
| ( member_variable_real @ SV383 @ SV307 ) )
| ~ ( ~ ( member_variable_real @ SV383 @ SV80 )
| ~ ( member_variable_real @ SV383 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2917]) ).
thf(3019,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( ( member_variable_real @ SV383 @ SV80 )
= ( member_variable_real @ SV383 @ SV307 ) )
= $true )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2917]) ).
thf(3020,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ SV188 ) )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2919]) ).
thf(3021,plain,
! [SV188: set_variable,SV262: set_variable,SV88: variable] :
( ( ( ~ ~ ( member_variable @ SV88 @ SV262 ) )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2919]) ).
thf(3022,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( member_variable_real @ SV372 @ SV89 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV372 @ SV89 )
| ~ ( member_variable_real @ SV372 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2920]) ).
thf(3023,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV372: variable > real] :
( ( ( member_variable_real @ SV372 @ SV308 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV372 @ SV89 )
| ~ ( member_variable_real @ SV372 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2920]) ).
thf(3024,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV384 @ SV89 )
| ( member_variable_real @ SV384 @ SV308 ) )
| ~ ( ~ ( member_variable_real @ SV384 @ SV89 )
| ~ ( member_variable_real @ SV384 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2921]) ).
thf(3025,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( ( member_variable_real @ SV384 @ SV89 )
= ( member_variable_real @ SV384 @ SV308 ) )
= $true )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2921]) ).
thf(3026,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV399: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
| ( ( member_variable_real @ SV399 @ SV89 )
= ( member_variable_real @ SV399 @ SV308 ) ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2923]) ).
thf(3027,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
!= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2924]) ).
thf(3028,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ~ ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2924]) ).
thf(3029,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV385 @ SV89 )
| ( member_variable_real @ SV385 @ SV308 ) )
| ~ ( ~ ( member_variable_real @ SV385 @ SV89 )
| ~ ( member_variable_real @ SV385 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2925]) ).
thf(3030,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( ( member_variable_real @ SV385 @ SV89 )
= ( member_variable_real @ SV385 @ SV308 ) )
= $true )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2925]) ).
thf(3031,plain,
! [SV327: denotational_interp,SV339: trm,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $true )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2928]) ).
thf(3032,plain,
! [SV310: trm,SV267: denotational_interp,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $true )
| ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2929]) ).
thf(3033,plain,
! [SV339: trm,SV327: denotational_interp,SV310: trm,SV197: char,SV97: real > variable > real,SV267: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV267 @ SV97 @ SV197 @ SV310 )
= $true )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2930]) ).
thf(3034,plain,
! [SV267: denotational_interp,SV310: trm,SV339: trm,SV197: char,SV97: real > variable > real,SV327: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $true )
| ( ( denota1778088425es_ODE @ SV327 @ SV97 @ SV197 @ SV339 )
= $false )
| ( ( denota1419872369iation @ ( sK23_SY794 @ SV339 @ SV327 @ SV310 @ SV267 @ SV197 @ SV97 ) @ ( SV97 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV197 ) @ ( insert_variable @ ( dVar @ SV197 ) @ bot_bot_set_variable ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2931]) ).
thf(3035,plain,
! [SV328: denotational_interp,SV340: trm,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $true )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2942]) ).
thf(3036,plain,
! [SV311: trm,SV270: denotational_interp,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $true )
| ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2943]) ).
thf(3037,plain,
! [SV340: trm,SV328: denotational_interp,SV311: trm,SV201: char,SV103: real > variable > real,SV270: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV270 @ SV103 @ SV201 @ SV311 )
= $true )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2944]) ).
thf(3038,plain,
! [SV311: trm,SV270: denotational_interp,SV340: trm,SV201: char,SV103: real > variable > real,SV328: denotational_interp] :
( ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $true )
| ( ( denota1778088425es_ODE @ SV328 @ SV103 @ SV201 @ SV340 )
= $false )
| ( ( ( denota1863255036rm_sem @ SV270 @ SV311 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) )
= ( denota1863255036rm_sem @ SV328 @ SV340 @ ( rr @ SV340 @ SV328 @ SV311 @ SV270 @ SV201 @ SV103 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2945]) ).
thf(3039,plain,
! [SV202: variable,SV271: variable,SV312: variable,SV104: variable] :
( ( ( SV104 = SV312 )
= $true )
| ( ( SV104 = SV271 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2946]) ).
thf(3040,plain,
! [SV312: variable,SV104: variable,SV271: variable,SV202: variable] :
( ( ( SV202 = SV271 )
= $true )
| ( ( SV104 = SV271 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2947]) ).
thf(3041,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( SV104 = SV312 )
= $true )
| ( ( SV202 = SV312 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2948]) ).
thf(3042,plain,
! [SV104: variable,SV312: variable,SV271: variable,SV202: variable] :
( ( ( SV202 = SV271 )
= $true )
| ( ( SV202 = SV312 )
= $true )
| ( ( ( insert_variable @ SV104 @ ( insert_variable @ SV202 @ bot_bot_set_variable ) )
= ( insert_variable @ SV271 @ ( insert_variable @ SV312 @ bot_bot_set_variable ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2949]) ).
thf(3043,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2950]) ).
thf(3044,plain,
! [SV312: variable,SV202: variable,SV271: variable,SV104: variable] :
( ( ( ( SV104 != SV271 )
| ( SV202 != SV312 ) )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2951]) ).
thf(3045,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2952]) ).
thf(3046,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2953]) ).
thf(3047,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2954]) ).
thf(3048,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2955]) ).
thf(3049,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3050,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ~ ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2957]) ).
thf(3051,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2958]) ).
thf(3052,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV400: variable] :
( ( ( ~ ~ ( member_variable @ SV400 @ SV342 )
| ( ( SV210 @ SV400 )
= ( SV316 @ SV400 ) ) )
= $true )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2961]) ).
thf(3053,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV388: variable] :
( ( ( ~ ( member_variable @ SV388 @ SV342 ) )
= $false )
| ( ( ( SV210 @ SV388 )
= ( SV316 @ SV388 ) )
= $true )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3054,plain,
! [SV317: set_variable,SV279: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $true )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2963]) ).
thf(3055,plain,
! [SV279: set_variable,SV317: set_variable,SV211: variable > real,SV113: variable > real] :
( ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $true )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV279 )
= $false )
| ( ( denotational_Vagree @ SV113 @ SV211 @ SV317 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2964]) ).
thf(3056,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2965]) ).
thf(3057,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2966]) ).
thf(3058,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2967]) ).
thf(3059,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2968]) ).
thf(3060,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2969]) ).
thf(3061,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ~ ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2970]) ).
thf(3062,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2971]) ).
thf(3063,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV393: variable] :
( ( ( ~ ( member_variable @ SV393 @ SV120 ) )
= $true )
| ( ( SV285 @ SV393 )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2972]) ).
thf(3064,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV394: variable] :
( ( ( ~ ( member_variable @ SV394 @ SV218 ) )
= $true )
| ( ( SV285 @ SV394 )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2973]) ).
thf(3065,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV389: variable] :
( ( ( member_variable @ SV389 @ SV120 )
= $false )
| ( ( SV285 @ SV389 )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2974]) ).
thf(3066,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV390: variable] :
( ( ( member_variable @ SV390 @ SV218 )
= $false )
| ( ( SV285 @ SV390 )
= $true )
| ( ( SV285 @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(3067,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) )
| ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(3068,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2977]) ).
thf(3069,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2977]) ).
thf(3070,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2978]) ).
thf(3071,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2978]) ).
thf(3072,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2979]) ).
thf(3073,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2980]) ).
thf(3074,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3075,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $false )
| ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2983]) ).
thf(3076,plain,
! [SV288: variable,SV126: variable,SV322: set_variable,SV223: set_variable] :
( ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2983]) ).
thf(3077,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real,SV386: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2984]) ).
thf(3078,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2985]) ).
thf(3079,plain,
! [SV336: char,SV344: real > variable > real,SV128: trm,SV225: denotational_interp,SV373: variable > real,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2986]) ).
thf(3080,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2987]) ).
thf(3081,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2988]) ).
thf(3082,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV395: variable] :
( ( ( ~ ( member_variable @ SV395 @ SV228 ) )
= $true )
| ( ( SV292 @ SV395 )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2989]) ).
thf(3083,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV391: variable] :
( ( ( member_variable @ SV391 @ SV228 )
= $false )
| ( ( SV292 @ SV391 )
= $true )
| ( ( SV292 @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3084,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV401: variable] :
( ( ( ~ ( member_variable @ SV401 @ ( insert_variable @ SV131 @ SV228 ) )
| ( SV292 @ SV401 ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2991]) ).
thf(3085,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 )
| ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3086,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV396: variable] :
( ( ( ~ ( member_variable @ SV396 @ ( insert_variable @ SV131 @ SV228 ) ) )
= $true )
| ( ( SV292 @ SV396 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2993]) ).
thf(3087,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2994]) ).
thf(3088,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2994]) ).
thf(3089,plain,
! [SV356: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3090,plain,
! [SV356: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2996]) ).
thf(3091,plain,
! [SV360: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2997]) ).
thf(3092,plain,
! [SV360: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2998]) ).
thf(3093,plain,
! [SV361: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ~ ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2999]) ).
thf(3094,plain,
! [SV361: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) )
| ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3000]) ).
thf(3095,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV387 )
| ( bot_bot_variable_o @ SV387 ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV387 )
| ~ ( bot_bot_variable_o @ SV387 ) ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3096,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV397 )
| ( bot_bot_variable_o @ SV397 ) )
| ~ ( ~ ( SV50 @ SV397 )
| ~ ( bot_bot_variable_o @ SV397 ) ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3002]) ).
thf(3097,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV397 )
= ( bot_bot_variable_o @ SV397 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3002]) ).
thf(3098,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV375 ) )
= $false )
| ( ( SV50 @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3003]) ).
thf(3099,plain,
! [SV50: variable > $o,SV375: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV375 ) )
= $false )
| ( ( SV50 @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3003]) ).
thf(3100,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV375 ) )
= $false )
| ( ( bot_bot_variable_o @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3004]) ).
thf(3101,plain,
! [SV50: variable > $o,SV375: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV375 ) )
= $false )
| ( ( bot_bot_variable_o @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3004]) ).
thf(3102,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( ~ ( member_variable_real @ SV371 @ SV80 )
| ~ ( member_variable_real @ SV371 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV371 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3011]) ).
thf(3103,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( ~ ( member_variable_real @ SV371 @ SV80 )
| ~ ( member_variable_real @ SV371 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV371 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3012]) ).
thf(3104,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV382 @ SV80 )
| ( member_variable_real @ SV382 @ SV307 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV382 @ SV80 )
| ~ ( member_variable_real @ SV382 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3013]) ).
thf(3105,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV398: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) ) )
= $true )
| ( ( ( member_variable_real @ SV398 @ SV80 )
= ( member_variable_real @ SV398 @ SV307 ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3015]) ).
thf(3106,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real] :
( ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3016]) ).
thf(3107,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real] :
( ( ( ! [SY754: variable > real] :
( ~ ( denota1419872369iation @ SY754 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SY754 @ SV80 )
= ( member_variable_real @ SY754 @ SV307 ) ) ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3017]) ).
thf(3108,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV383 @ SV80 )
| ( member_variable_real @ SV383 @ SV307 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV383 @ SV80 )
| ~ ( member_variable_real @ SV383 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3018]) ).
thf(3109,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ SV188 ) )
= $true )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3020]) ).
thf(3110,plain,
! [SV188: set_variable,SV262: set_variable,SV88: variable] :
( ( ( ~ ( member_variable @ SV88 @ SV262 ) )
= $true )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3021]) ).
thf(3111,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( ~ ( member_variable_real @ SV372 @ SV89 )
| ~ ( member_variable_real @ SV372 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV372 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3022]) ).
thf(3112,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( ~ ( member_variable_real @ SV372 @ SV89 )
| ~ ( member_variable_real @ SV372 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV372 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3023]) ).
thf(3113,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV384 @ SV89 )
| ( member_variable_real @ SV384 @ SV308 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV384 @ SV89 )
| ~ ( member_variable_real @ SV384 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3114,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV399: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV399 @ SV189 @ SV263 ) )
= $true )
| ( ( ( member_variable_real @ SV399 @ SV89 )
= ( member_variable_real @ SV399 @ SV308 ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3026]) ).
thf(3115,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real] :
( ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3027]) ).
thf(3116,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real] :
( ( ( ! [SY755: variable > real] :
( ~ ( denota1419872369iation @ SY755 @ SV189 @ SV263 )
| ( ( member_variable_real @ SY755 @ SV89 )
= ( member_variable_real @ SY755 @ SV308 ) ) ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3028]) ).
thf(3117,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV385 @ SV89 )
| ( member_variable_real @ SV385 @ SV308 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV385 @ SV89 )
| ~ ( member_variable_real @ SV385 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3118,plain,
! [SV202: variable,SV312: variable,SV271: variable,SV104: variable] :
( ( ( SV104 != SV271 )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3043]) ).
thf(3119,plain,
! [SV271: variable,SV104: variable,SV312: variable,SV202: variable] :
( ( ( SV202 != SV312 )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3043]) ).
thf(3120,plain,
! [SV202: variable,SV312: variable,SV271: variable,SV104: variable] :
( ( ( SV104 != SV271 )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3044]) ).
thf(3121,plain,
! [SV271: variable,SV104: variable,SV312: variable,SV202: variable] :
( ( ( SV202 != SV312 )
= $false )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3044]) ).
thf(3122,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3123,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3046]) ).
thf(3124,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3125,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3048]) ).
thf(3126,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3127,plain,
! [SV110: variable,SV276: set_variable,SV208: set_variable] :
( ( ( ( SV208 != bot_bot_set_variable )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3050]) ).
thf(3128,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3051]) ).
thf(3129,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3051]) ).
thf(3130,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV400: variable] :
( ( ( ~ ~ ( member_variable @ SV400 @ SV342 ) )
= $true )
| ( ( ( SV210 @ SV400 )
= ( SV316 @ SV400 ) )
= $true )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3052]) ).
thf(3131,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV388: variable] :
( ( ( member_variable @ SV388 @ SV342 )
= $true )
| ( ( ( SV210 @ SV388 )
= ( SV316 @ SV388 ) )
= $true )
| ( ( ( SV210 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) )
= ( SV316 @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3053]) ).
thf(3132,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3056]) ).
thf(3133,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3057]) ).
thf(3134,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3058]) ).
thf(3135,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3136,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3137,plain,
! [SV281: variable,SV213: set_variable,SV115: set_variable] :
( ( ( ( SV115 != bot_bot_set_variable )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3138,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3062]) ).
thf(3139,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3062]) ).
thf(3140,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV393: variable] :
( ( ( member_variable @ SV393 @ SV120 )
= $false )
| ( ( SV285 @ SV393 )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3141,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV394: variable] :
( ( ( member_variable @ SV394 @ SV218 )
= $false )
| ( ( SV285 @ SV394 )
= $true )
| ( ( member_variable @ ( sK18_SY734 @ SV285 @ SV218 @ SV120 ) @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3142,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ~ ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3067]) ).
thf(3143,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3067]) ).
thf(3144,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3068]) ).
thf(3145,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3069]) ).
thf(3146,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3070]) ).
thf(3147,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3071]) ).
thf(3148,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV402: variable] :
( ( ( ~ ( member_variable @ SV402 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SV402 ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3072]) ).
thf(3149,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3150,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) ) )
= $false )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3074]) ).
thf(3151,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3074]) ).
thf(3152,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3075]) ).
thf(3153,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3076]) ).
thf(3154,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real,SV386: variable > real] :
( ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3077]) ).
thf(3155,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3078]) ).
thf(3156,plain,
! [SV373: variable > real,SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3079]) ).
thf(3157,plain,
! [SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3158,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3159,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV395: variable] :
( ( ( member_variable @ SV395 @ SV228 )
= $false )
| ( ( SV292 @ SV395 )
= $true )
| ( ( member_variable @ ( sK20_SY747 @ SV292 @ SV228 @ SV131 ) @ ( insert_variable @ SV131 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3160,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV401: variable] :
( ( ( ~ ( member_variable @ SV401 @ ( insert_variable @ SV131 @ SV228 ) ) )
= $true )
| ( ( SV292 @ SV401 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3084]) ).
thf(3161,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( ~ ( SV292 @ SV131 ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3085]) ).
thf(3162,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ~ ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $false )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3085]) ).
thf(3163,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV396: variable] :
( ( ( member_variable @ SV396 @ ( insert_variable @ SV131 @ SV228 ) )
= $false )
| ( ( SV292 @ SV396 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3164,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( SV292 @ SV131 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3087]) ).
thf(3165,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3088]) ).
thf(3166,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV356: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) ) ) )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3089]) ).
thf(3167,plain,
! [SV356: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3090]) ).
thf(3168,plain,
! [SV360: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3091]) ).
thf(3169,plain,
! [SV360: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3092]) ).
thf(3170,plain,
! [SV361: variable,SV293: variable > $o,SV229: set_variable,SV132: set_variable] :
( ( ( ! [SY749: variable] :
~ ~ ( ~ ( member_variable @ SY749 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ SY749 ) ) )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3093]) ).
thf(3171,plain,
! [SV361: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ~ ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3094]) ).
thf(3172,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( SV50 @ SV387 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV387 )
| ~ ( bot_bot_variable_o @ SV387 ) ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3095]) ).
thf(3173,plain,
! [SV50: variable > $o,SV387: variable] :
( ( ( bot_bot_variable_o @ SV387 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV387 )
| ~ ( bot_bot_variable_o @ SV387 ) ) )
= $true )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3095]) ).
thf(3174,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ~ ( ( SV50 @ SV397 )
| ( bot_bot_variable_o @ SV397 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV397 )
| ~ ( bot_bot_variable_o @ SV397 ) ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3096]) ).
thf(3175,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( SV50 @ SV375 )
= $true )
| ( ( SV50 @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3098]) ).
thf(3176,plain,
! [SV50: variable > $o,SV375: variable] :
( ( ( bot_bot_variable_o @ SV375 )
= $true )
| ( ( SV50 @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3099]) ).
thf(3177,plain,
! [SV375: variable,SV50: variable > $o] :
( ( ( SV50 @ SV375 )
= $true )
| ( ( bot_bot_variable_o @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3100]) ).
thf(3178,plain,
! [SV50: variable > $o,SV375: variable] :
( ( ( bot_bot_variable_o @ SV375 )
= $true )
| ( ( bot_bot_variable_o @ SV375 )
= $false )
| ( ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3101]) ).
thf(3179,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV371: variable > real] :
( ( ( ~ ( member_variable_real @ SV371 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV371 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3102]) ).
thf(3180,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV371: variable > real] :
( ( ( ~ ( member_variable_real @ SV371 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV371 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3102]) ).
thf(3181,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( ~ ( member_variable_real @ SV371 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV371 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3103]) ).
thf(3182,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV371: variable > real] :
( ( ( ~ ( member_variable_real @ SV371 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV371 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3103]) ).
thf(3183,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( ( member_variable_real @ SV382 @ SV80 )
| ( member_variable_real @ SV382 @ SV307 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV382 @ SV80 )
| ~ ( member_variable_real @ SV382 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3184,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV398: variable > real] :
( ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ SV398 @ SV80 )
= ( member_variable_real @ SV398 @ SV307 ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3185,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV403: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
| ( ( member_variable_real @ SV403 @ SV80 )
= ( member_variable_real @ SV403 @ SV307 ) ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3107]) ).
thf(3186,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( ( member_variable_real @ SV383 @ SV80 )
| ( member_variable_real @ SV383 @ SV307 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV383 @ SV80 )
| ~ ( member_variable_real @ SV383 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3108]) ).
thf(3187,plain,
! [SV262: set_variable,SV188: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ SV188 )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3188,plain,
! [SV188: set_variable,SV262: set_variable,SV88: variable] :
( ( ( member_variable @ SV88 @ SV262 )
= $false )
| ( ( member_variable @ SV88 @ SV188 )
= $true )
| ( ( member_variable @ SV88 @ SV262 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3189,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV372: variable > real] :
( ( ( ~ ( member_variable_real @ SV372 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV372 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3111]) ).
thf(3190,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV372: variable > real] :
( ( ( ~ ( member_variable_real @ SV372 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV372 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3111]) ).
thf(3191,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( ~ ( member_variable_real @ SV372 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV372 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3112]) ).
thf(3192,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV372: variable > real] :
( ( ( ~ ( member_variable_real @ SV372 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV372 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3112]) ).
thf(3193,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( ( member_variable_real @ SV384 @ SV89 )
| ( member_variable_real @ SV384 @ SV308 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV384 @ SV89 )
| ~ ( member_variable_real @ SV384 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3113]) ).
thf(3194,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV399: variable > real] :
( ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ SV399 @ SV89 )
= ( member_variable_real @ SV399 @ SV308 ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3114]) ).
thf(3195,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV404: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
| ( ( member_variable_real @ SV404 @ SV89 )
= ( member_variable_real @ SV404 @ SV308 ) ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3116]) ).
thf(3196,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( ( member_variable_real @ SV385 @ SV89 )
| ( member_variable_real @ SV385 @ SV308 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV385 @ SV89 )
| ~ ( member_variable_real @ SV385 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3117]) ).
thf(3197,plain,
! [SV202: variable,SV312: variable,SV271: variable,SV104: variable] :
( ( ( SV104 = SV271 )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3118]) ).
thf(3198,plain,
! [SV271: variable,SV104: variable,SV312: variable,SV202: variable] :
( ( ( SV202 = SV312 )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3119]) ).
thf(3199,plain,
! [SV202: variable,SV312: variable,SV271: variable,SV104: variable] :
( ( ( SV104 = SV271 )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3120]) ).
thf(3200,plain,
! [SV271: variable,SV104: variable,SV312: variable,SV202: variable] :
( ( ( SV202 = SV312 )
= $true )
| ( ( ~ ( ( SV104 != SV312 )
| ( SV202 != SV271 ) ) )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3121]) ).
thf(3201,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3122]) ).
thf(3202,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3122]) ).
thf(3203,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3204,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3205,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3124]) ).
thf(3206,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3124]) ).
thf(3207,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3125]) ).
thf(3208,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3125]) ).
thf(3209,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3126]) ).
thf(3210,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3126]) ).
thf(3211,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3212,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3213,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3128]) ).
thf(3214,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3129]) ).
thf(3215,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV400: variable] :
( ( ( ~ ( member_variable @ SV400 @ SV342 ) )
= $false )
| ( ( ( SV210 @ SV400 )
= ( SV316 @ SV400 ) )
= $true )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3130]) ).
thf(3216,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3132]) ).
thf(3217,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3132]) ).
thf(3218,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3133]) ).
thf(3219,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3133]) ).
thf(3220,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3134]) ).
thf(3221,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3134]) ).
thf(3222,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3135]) ).
thf(3223,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3135]) ).
thf(3224,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3136]) ).
thf(3225,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3136]) ).
thf(3226,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115 != bot_bot_set_variable )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3137]) ).
thf(3227,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3137]) ).
thf(3228,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3138]) ).
thf(3229,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3139]) ).
thf(3230,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable] :
( ( ( ! [SY734: variable] :
( ~ ( member_variable @ SY734 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SY734 ) ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3142]) ).
thf(3231,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3143]) ).
thf(3232,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV405: variable] :
( ( ( ~ ( member_variable @ SV405 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SV405 ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3144]) ).
thf(3233,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3145]) ).
thf(3234,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV406: variable] :
( ( ( ~ ( member_variable @ SV406 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SV406 ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3146]) ).
thf(3235,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3147]) ).
thf(3236,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV402: variable] :
( ( ( ~ ( member_variable @ SV402 @ ( sup_sup_set_variable @ SV120 @ SV218 ) ) )
= $true )
| ( ( SV285 @ SV402 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3148]) ).
thf(3237,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3149]) ).
thf(3238,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3149]) ).
thf(3239,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3150]) ).
thf(3240,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3151]) ).
thf(3241,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3152]) ).
thf(3242,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3243,plain,
! [SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3244,plain,
! [SV350: char,SV355: real > variable > real,SV323: trm,SV335: denotational_interp,SV386: variable > real,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3154]) ).
thf(3245,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3246,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3247,plain,
! [SV373: variable > real,SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3248,plain,
! [SV373: variable > real,SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3249,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3157]) ).
thf(3250,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3158]) ).
thf(3251,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3158]) ).
thf(3252,plain,
! [SV292: variable > $o,SV228: set_variable,SV131: variable,SV401: variable] :
( ( ( member_variable @ SV401 @ ( insert_variable @ SV131 @ SV228 ) )
= $false )
| ( ( SV292 @ SV401 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3160]) ).
thf(3253,plain,
! [SV228: set_variable,SV131: variable,SV292: variable > $o] :
( ( ( SV292 @ SV131 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3161]) ).
thf(3254,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable] :
( ( ( ! [SY748: variable] :
( ~ ( member_variable @ SY748 @ SV228 )
| ( SV292 @ SY748 ) ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3162]) ).
thf(3255,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV407: variable] :
( ( ( ~ ( member_variable @ SV407 @ SV228 )
| ( SV292 @ SV407 ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3165]) ).
thf(3256,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV356: variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3166]) ).
thf(3257,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV356: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3167]) ).
thf(3258,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV360: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) ) ) )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3168]) ).
thf(3259,plain,
! [SV360: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3169]) ).
thf(3260,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV361: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) ) ) )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3170]) ).
thf(3261,plain,
! [SV361: variable,SV229: set_variable,SV293: variable > $o,SV132: set_variable] :
( ( ( ! [SY750: variable] :
~ ~ ( ~ ( member_variable @ SY750 @ SV132 )
| ~ ( SV293 @ SY750 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3262,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV387 )
| ~ ( bot_bot_variable_o @ SV387 ) )
= $false )
| ( ( SV50 @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3172]) ).
thf(3263,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV387 )
| ~ ( bot_bot_variable_o @ SV387 ) )
= $false )
| ( ( bot_bot_variable_o @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3173]) ).
thf(3264,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ( SV50 @ SV397 )
| ( bot_bot_variable_o @ SV397 ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV397 )
| ~ ( bot_bot_variable_o @ SV397 ) ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3174]) ).
thf(3265,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV371: variable > real] :
( ( ( member_variable_real @ SV371 @ SV80 )
= $true )
| ( ( member_variable_real @ SV371 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3179]) ).
thf(3266,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV371: variable > real] :
( ( ( member_variable_real @ SV371 @ SV307 )
= $true )
| ( ( member_variable_real @ SV371 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3180]) ).
thf(3267,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV371: variable > real] :
( ( ( member_variable_real @ SV371 @ SV80 )
= $true )
| ( ( member_variable_real @ SV371 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3181]) ).
thf(3268,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV371: variable > real] :
( ( ( member_variable_real @ SV371 @ SV307 )
= $true )
| ( ( member_variable_real @ SV371 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV371 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( static_selectlike @ SV80 @ SV181 @ SV260 )
= ( static_selectlike @ SV307 @ SV181 @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3182]) ).
thf(3269,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( member_variable_real @ SV382 @ SV80 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV382 @ SV80 )
| ~ ( member_variable_real @ SV382 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3183]) ).
thf(3270,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV382: variable > real] :
( ( ( member_variable_real @ SV382 @ SV307 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV382 @ SV80 )
| ~ ( member_variable_real @ SV382 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3183]) ).
thf(3271,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV398 @ SV80 )
| ( member_variable_real @ SV398 @ SV307 ) )
| ~ ( ~ ( member_variable_real @ SV398 @ SV80 )
| ~ ( member_variable_real @ SV398 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3184]) ).
thf(3272,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( ( member_variable_real @ SV398 @ SV80 )
= ( member_variable_real @ SV398 @ SV307 ) )
= $true )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3184]) ).
thf(3273,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV403: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) ) )
= $true )
| ( ( ( member_variable_real @ SV403 @ SV80 )
= ( member_variable_real @ SV403 @ SV307 ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3185]) ).
thf(3274,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( member_variable_real @ SV383 @ SV80 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV383 @ SV80 )
| ~ ( member_variable_real @ SV383 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3186]) ).
thf(3275,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV383: variable > real] :
( ( ( member_variable_real @ SV383 @ SV307 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV383 @ SV80 )
| ~ ( member_variable_real @ SV383 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3186]) ).
thf(3276,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV372: variable > real] :
( ( ( member_variable_real @ SV372 @ SV89 )
= $true )
| ( ( member_variable_real @ SV372 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3189]) ).
thf(3277,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV372: variable > real] :
( ( ( member_variable_real @ SV372 @ SV308 )
= $true )
| ( ( member_variable_real @ SV372 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3190]) ).
thf(3278,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV372: variable > real] :
( ( ( member_variable_real @ SV372 @ SV89 )
= $true )
| ( ( member_variable_real @ SV372 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3191]) ).
thf(3279,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV372: variable > real] :
( ( ( member_variable_real @ SV372 @ SV308 )
= $true )
| ( ( member_variable_real @ SV372 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV372 @ SV189 @ SV263 )
= $false )
| ( ( ( static_selectlike @ SV89 @ SV189 @ ( uminus1851247844riable @ SV263 ) )
= ( static_selectlike @ SV308 @ SV189 @ ( uminus1851247844riable @ SV263 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3192]) ).
thf(3280,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( member_variable_real @ SV384 @ SV89 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV384 @ SV89 )
| ~ ( member_variable_real @ SV384 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3193]) ).
thf(3281,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV384: variable > real] :
( ( ( member_variable_real @ SV384 @ SV308 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV384 @ SV89 )
| ~ ( member_variable_real @ SV384 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3193]) ).
thf(3282,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV399 @ SV89 )
| ( member_variable_real @ SV399 @ SV308 ) )
| ~ ( ~ ( member_variable_real @ SV399 @ SV89 )
| ~ ( member_variable_real @ SV399 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3194]) ).
thf(3283,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( ( member_variable_real @ SV399 @ SV89 )
= ( member_variable_real @ SV399 @ SV308 ) )
= $true )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3194]) ).
thf(3284,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV404: variable > real] :
( ( ( ~ ( denota1419872369iation @ SV404 @ SV189 @ SV263 ) )
= $true )
| ( ( ( member_variable_real @ SV404 @ SV89 )
= ( member_variable_real @ SV404 @ SV308 ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3195]) ).
thf(3285,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( member_variable_real @ SV385 @ SV89 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV385 @ SV89 )
| ~ ( member_variable_real @ SV385 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3196]) ).
thf(3286,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV385: variable > real] :
( ( ( member_variable_real @ SV385 @ SV308 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV385 @ SV89 )
| ~ ( member_variable_real @ SV385 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3196]) ).
thf(3287,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( ( SV104 != SV312 )
| ( SV202 != SV271 ) )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3197]) ).
thf(3288,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( ( SV104 != SV312 )
| ( SV202 != SV271 ) )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3198]) ).
thf(3289,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( ( SV104 != SV312 )
| ( SV202 != SV271 ) )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3290,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( ( SV104 != SV312 )
| ( SV202 != SV271 ) )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3200]) ).
thf(3291,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3201]) ).
thf(3292,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3202]) ).
thf(3293,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3203]) ).
thf(3294,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3204]) ).
thf(3295,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3205]) ).
thf(3296,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3206]) ).
thf(3297,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3207]) ).
thf(3298,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( ( insert_variable @ SV110 @ bot_bot_set_variable )
= ( sup_sup_set_variable @ SV208 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3208]) ).
thf(3299,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3209]) ).
thf(3300,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3210]) ).
thf(3301,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3211]) ).
thf(3302,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3212]) ).
thf(3303,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3213]) ).
thf(3304,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3305,plain,
! [SV316: variable > real,SV210: variable > real,SV342: set_variable,SV400: variable] :
( ( ( member_variable @ SV400 @ SV342 )
= $true )
| ( ( ( SV210 @ SV400 )
= ( SV316 @ SV400 ) )
= $true )
| ( ( member_variable @ ( sK26_SY796 @ SV316 @ SV210 @ SV342 ) @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3215]) ).
thf(3306,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3216]) ).
thf(3307,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3217]) ).
thf(3308,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3218]) ).
thf(3309,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3219]) ).
thf(3310,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3220]) ).
thf(3311,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3221]) ).
thf(3312,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3222]) ).
thf(3313,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( ( sup_sup_set_variable @ SV115 @ SV213 )
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3223]) ).
thf(3314,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3224]) ).
thf(3315,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3225]) ).
thf(3316,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3226]) ).
thf(3317,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3227]) ).
thf(3318,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3228]) ).
thf(3319,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3229]) ).
thf(3320,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV408: variable] :
( ( ( ~ ( member_variable @ SV408 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
| ( SV285 @ SV408 ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3230]) ).
thf(3321,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) )
| ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3322,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV405: variable] :
( ( ( ~ ( member_variable @ SV405 @ ( sup_sup_set_variable @ SV120 @ SV218 ) ) )
= $true )
| ( ( SV285 @ SV405 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3232]) ).
thf(3323,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3233]) ).
thf(3324,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3233]) ).
thf(3325,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV406: variable] :
( ( ( ~ ( member_variable @ SV406 @ ( sup_sup_set_variable @ SV120 @ SV218 ) ) )
= $true )
| ( ( SV285 @ SV406 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3234]) ).
thf(3326,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3235]) ).
thf(3327,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3235]) ).
thf(3328,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV402: variable] :
( ( ( member_variable @ SV402 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $false )
| ( ( SV285 @ SV402 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3329,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3237]) ).
thf(3330,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3238]) ).
thf(3331,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $true )
| ( ( SV223 = SV322 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3239]) ).
thf(3332,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) ) )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3240]) ).
thf(3333,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3241]) ).
thf(3334,plain,
! [SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3241]) ).
thf(3335,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3242]) ).
thf(3336,plain,
! [SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3243]) ).
thf(3337,plain,
! [SV350: char,SV355: real > variable > real,SV323: trm,SV335: denotational_interp,SV386: variable > real,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3244]) ).
thf(3338,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3245]) ).
thf(3339,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3246]) ).
thf(3340,plain,
! [SV373: variable > real,SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ~ ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3247]) ).
thf(3341,plain,
! [SV373: variable > real,SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3248]) ).
thf(3342,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3249]) ).
thf(3343,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3250]) ).
thf(3344,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3251]) ).
thf(3345,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV409: variable] :
( ( ( ~ ( member_variable @ SV409 @ SV228 )
| ( SV292 @ SV409 ) )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3254]) ).
thf(3346,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV407: variable] :
( ( ( ~ ( member_variable @ SV407 @ SV228 ) )
= $true )
| ( ( SV292 @ SV407 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3255]) ).
thf(3347,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV356: variable] :
( ( ( ~ ( member_variable @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) ) )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3256]) ).
thf(3348,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV356: variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) ) ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3257]) ).
thf(3349,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV360: variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3258]) ).
thf(3350,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV360: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3259]) ).
thf(3351,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV361: variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3260]) ).
thf(3352,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3261]) ).
thf(3353,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV387 ) )
= $false )
| ( ( SV50 @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3354,plain,
! [SV50: variable > $o,SV387: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV387 ) )
= $false )
| ( ( SV50 @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3355,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV387 ) )
= $false )
| ( ( bot_bot_variable_o @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3263]) ).
thf(3356,plain,
! [SV50: variable > $o,SV387: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV387 ) )
= $false )
| ( ( bot_bot_variable_o @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3263]) ).
thf(3357,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( SV50 @ SV397 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV397 )
| ~ ( bot_bot_variable_o @ SV397 ) ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3358,plain,
! [SV50: variable > $o,SV397: variable] :
( ( ( bot_bot_variable_o @ SV397 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV397 )
| ~ ( bot_bot_variable_o @ SV397 ) ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3359,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( ~ ( member_variable_real @ SV382 @ SV80 )
| ~ ( member_variable_real @ SV382 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV382 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3269]) ).
thf(3360,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( ~ ( member_variable_real @ SV382 @ SV80 )
| ~ ( member_variable_real @ SV382 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV382 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3270]) ).
thf(3361,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV398 @ SV80 )
| ( member_variable_real @ SV398 @ SV307 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV398 @ SV80 )
| ~ ( member_variable_real @ SV398 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3271]) ).
thf(3362,plain,
! [SV307: set_variable_real,SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV403: variable > real] :
( ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ SV403 @ SV80 )
= ( member_variable_real @ SV403 @ SV307 ) )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3273]) ).
thf(3363,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( ~ ( member_variable_real @ SV383 @ SV80 )
| ~ ( member_variable_real @ SV383 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV383 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3274]) ).
thf(3364,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( ~ ( member_variable_real @ SV383 @ SV80 )
| ~ ( member_variable_real @ SV383 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV383 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3275]) ).
thf(3365,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( ~ ( member_variable_real @ SV384 @ SV89 )
| ~ ( member_variable_real @ SV384 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV384 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3280]) ).
thf(3366,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( ~ ( member_variable_real @ SV384 @ SV89 )
| ~ ( member_variable_real @ SV384 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV384 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3281]) ).
thf(3367,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV399 @ SV89 )
| ( member_variable_real @ SV399 @ SV308 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV399 @ SV89 )
| ~ ( member_variable_real @ SV399 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3282]) ).
thf(3368,plain,
! [SV308: set_variable_real,SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV404: variable > real] :
( ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ SV404 @ SV89 )
= ( member_variable_real @ SV404 @ SV308 ) )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3284]) ).
thf(3369,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( ~ ( member_variable_real @ SV385 @ SV89 )
| ~ ( member_variable_real @ SV385 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV385 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3285]) ).
thf(3370,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( ~ ( member_variable_real @ SV385 @ SV89 )
| ~ ( member_variable_real @ SV385 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV385 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3286]) ).
thf(3371,plain,
! [SV202: variable,SV271: variable,SV312: variable,SV104: variable] :
( ( ( SV104 != SV312 )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3287]) ).
thf(3372,plain,
! [SV312: variable,SV104: variable,SV271: variable,SV202: variable] :
( ( ( SV202 != SV271 )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3287]) ).
thf(3373,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( SV104 != SV312 )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3288]) ).
thf(3374,plain,
! [SV104: variable,SV312: variable,SV271: variable,SV202: variable] :
( ( ( SV202 != SV271 )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3288]) ).
thf(3375,plain,
! [SV202: variable,SV271: variable,SV312: variable,SV104: variable] :
( ( ( SV104 != SV312 )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3289]) ).
thf(3376,plain,
! [SV312: variable,SV104: variable,SV271: variable,SV202: variable] :
( ( ( SV202 != SV271 )
= $false )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3289]) ).
thf(3377,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( SV104 != SV312 )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3290]) ).
thf(3378,plain,
! [SV104: variable,SV312: variable,SV271: variable,SV202: variable] :
( ( ( SV202 != SV271 )
= $false )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3290]) ).
thf(3379,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3299]) ).
thf(3380,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3300]) ).
thf(3381,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3301]) ).
thf(3382,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276 != bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3302]) ).
thf(3383,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3303]) ).
thf(3384,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 != bot_bot_set_variable )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3303]) ).
thf(3385,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3304]) ).
thf(3386,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276 != bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3304]) ).
thf(3387,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3314]) ).
thf(3388,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3315]) ).
thf(3389,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3390,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213 != bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3317]) ).
thf(3391,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3318]) ).
thf(3392,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 != bot_bot_set_variable )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3318]) ).
thf(3393,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3319]) ).
thf(3394,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213 != bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3319]) ).
thf(3395,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV408: variable] :
( ( ( ~ ( member_variable @ SV408 @ ( sup_sup_set_variable @ SV120 @ SV218 ) ) )
= $true )
| ( ( SV285 @ SV408 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3320]) ).
thf(3396,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ~ ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3321]) ).
thf(3397,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ~ ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $false )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3321]) ).
thf(3398,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV405: variable] :
( ( ( member_variable @ SV405 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $false )
| ( ( SV285 @ SV405 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3322]) ).
thf(3399,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3323]) ).
thf(3400,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3324]) ).
thf(3401,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV406: variable] :
( ( ( member_variable @ SV406 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $false )
| ( ( SV285 @ SV406 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3325]) ).
thf(3402,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3326]) ).
thf(3403,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3327]) ).
thf(3404,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV410: variable] :
( ( ( ~ ( member_variable @ SV410 @ SV120 )
| ( SV285 @ SV410 ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3329]) ).
thf(3405,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV411: variable] :
( ( ( ~ ( member_variable @ SV411 @ SV218 )
| ( SV285 @ SV411 ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3330]) ).
thf(3406,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $false )
| ( ( SV223 = SV322 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3331]) ).
thf(3407,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $false )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3332]) ).
thf(3408,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3333]) ).
thf(3409,plain,
! [SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3334]) ).
thf(3410,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3335]) ).
thf(3411,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV412 ) ) )
| ~ ~ ( member_variable @ SV126 @ SV412 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3336]) ).
thf(3412,plain,
! [SV386: variable > real,SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) )
| ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3337]) ).
thf(3413,plain,
! [SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3338]) ).
thf(3414,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3339]) ).
thf(3415,plain,
! [SV373: variable > real,SV128: trm,SV225: denotational_interp,SV289: trm,SV324: denotational_interp,SV336: char,SV344: real > variable > real] :
( ( ( ! [SY801: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY801 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SY801 )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ SY801 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3340]) ).
thf(3416,plain,
! [SV373: variable > real,SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3417,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3342]) ).
thf(3418,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3344]) ).
thf(3419,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV409: variable] :
( ( ( ~ ( member_variable @ SV409 @ SV228 ) )
= $true )
| ( ( SV292 @ SV409 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3345]) ).
thf(3420,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV407: variable] :
( ( ( member_variable @ SV407 @ SV228 )
= $false )
| ( ( SV292 @ SV407 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( SV292 @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3346]) ).
thf(3421,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV356: variable] :
( ( ( ~ ( member_variable @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) ) )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3347]) ).
thf(3422,plain,
! [SV132: set_variable,SV229: set_variable,SV356: variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) ) )
= $false )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3347]) ).
thf(3423,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV356: variable] :
( ( ( ~ ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3348]) ).
thf(3424,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV360: variable] :
( ( ( ~ ( member_variable @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) ) )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3349]) ).
thf(3425,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV360: variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) ) ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3350]) ).
thf(3426,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV361: variable] :
( ( ( ~ ( member_variable @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
| ~ ( SV293 @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) ) )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3351]) ).
thf(3427,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) ) ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3352]) ).
thf(3428,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( SV50 @ SV387 )
= $true )
| ( ( SV50 @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3353]) ).
thf(3429,plain,
! [SV50: variable > $o,SV387: variable] :
( ( ( bot_bot_variable_o @ SV387 )
= $true )
| ( ( SV50 @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3354]) ).
thf(3430,plain,
! [SV387: variable,SV50: variable > $o] :
( ( ( SV50 @ SV387 )
= $true )
| ( ( bot_bot_variable_o @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3355]) ).
thf(3431,plain,
! [SV50: variable > $o,SV387: variable] :
( ( ( bot_bot_variable_o @ SV387 )
= $true )
| ( ( bot_bot_variable_o @ SV387 )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $true )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3356]) ).
thf(3432,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV397 )
| ~ ( bot_bot_variable_o @ SV397 ) )
= $false )
| ( ( SV50 @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3357]) ).
thf(3433,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV397 )
| ~ ( bot_bot_variable_o @ SV397 ) )
= $false )
| ( ( bot_bot_variable_o @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3358]) ).
thf(3434,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV382: variable > real] :
( ( ( ~ ( member_variable_real @ SV382 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV382 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3359]) ).
thf(3435,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV382: variable > real] :
( ( ( ~ ( member_variable_real @ SV382 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV382 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3359]) ).
thf(3436,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( ~ ( member_variable_real @ SV382 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV382 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3360]) ).
thf(3437,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV382: variable > real] :
( ( ( ~ ( member_variable_real @ SV382 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV382 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3360]) ).
thf(3438,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( ( member_variable_real @ SV398 @ SV80 )
| ( member_variable_real @ SV398 @ SV307 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV398 @ SV80 )
| ~ ( member_variable_real @ SV398 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3361]) ).
thf(3439,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV403 @ SV80 )
| ( member_variable_real @ SV403 @ SV307 ) )
| ~ ( ~ ( member_variable_real @ SV403 @ SV80 )
| ~ ( member_variable_real @ SV403 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3362]) ).
thf(3440,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( ( member_variable_real @ SV403 @ SV80 )
= ( member_variable_real @ SV403 @ SV307 ) )
= $true )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3362]) ).
thf(3441,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV383: variable > real] :
( ( ( ~ ( member_variable_real @ SV383 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV383 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3363]) ).
thf(3442,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV383: variable > real] :
( ( ( ~ ( member_variable_real @ SV383 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV383 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3363]) ).
thf(3443,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( ~ ( member_variable_real @ SV383 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV383 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3364]) ).
thf(3444,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV383: variable > real] :
( ( ( ~ ( member_variable_real @ SV383 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV383 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3364]) ).
thf(3445,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV384: variable > real] :
( ( ( ~ ( member_variable_real @ SV384 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV384 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3365]) ).
thf(3446,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV384: variable > real] :
( ( ( ~ ( member_variable_real @ SV384 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV384 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3365]) ).
thf(3447,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( ~ ( member_variable_real @ SV384 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV384 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3366]) ).
thf(3448,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV384: variable > real] :
( ( ( ~ ( member_variable_real @ SV384 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV384 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3366]) ).
thf(3449,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( ( member_variable_real @ SV399 @ SV89 )
| ( member_variable_real @ SV399 @ SV308 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV399 @ SV89 )
| ~ ( member_variable_real @ SV399 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3367]) ).
thf(3450,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV404 @ SV89 )
| ( member_variable_real @ SV404 @ SV308 ) )
| ~ ( ~ ( member_variable_real @ SV404 @ SV89 )
| ~ ( member_variable_real @ SV404 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3368]) ).
thf(3451,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( ( member_variable_real @ SV404 @ SV89 )
= ( member_variable_real @ SV404 @ SV308 ) )
= $true )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3368]) ).
thf(3452,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV385: variable > real] :
( ( ( ~ ( member_variable_real @ SV385 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV385 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3369]) ).
thf(3453,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV385: variable > real] :
( ( ( ~ ( member_variable_real @ SV385 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV385 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3369]) ).
thf(3454,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( ~ ( member_variable_real @ SV385 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV385 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3370]) ).
thf(3455,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV385: variable > real] :
( ( ( ~ ( member_variable_real @ SV385 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV385 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3370]) ).
thf(3456,plain,
! [SV202: variable,SV271: variable,SV312: variable,SV104: variable] :
( ( ( SV104 = SV312 )
= $true )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3371]) ).
thf(3457,plain,
! [SV312: variable,SV104: variable,SV271: variable,SV202: variable] :
( ( ( SV202 = SV271 )
= $true )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3372]) ).
thf(3458,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( SV104 = SV312 )
= $true )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3373]) ).
thf(3459,plain,
! [SV104: variable,SV312: variable,SV271: variable,SV202: variable] :
( ( ( SV202 = SV271 )
= $true )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV271 )
= $false )
| ( ( SV202 = SV312 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3374]) ).
thf(3460,plain,
! [SV202: variable,SV271: variable,SV312: variable,SV104: variable] :
( ( ( SV104 = SV312 )
= $true )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3375]) ).
thf(3461,plain,
! [SV312: variable,SV104: variable,SV271: variable,SV202: variable] :
( ( ( SV202 = SV271 )
= $true )
| ( ( SV104 = SV271 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3376]) ).
thf(3462,plain,
! [SV271: variable,SV202: variable,SV312: variable,SV104: variable] :
( ( ( SV104 = SV312 )
= $true )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3377]) ).
thf(3463,plain,
! [SV104: variable,SV312: variable,SV271: variable,SV202: variable] :
( ( ( SV202 = SV271 )
= $true )
| ( ( SV202 = SV312 )
= $true )
| ( ( SV104 = SV312 )
= $false )
| ( ( SV202 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3378]) ).
thf(3464,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3379]) ).
thf(3465,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 != bot_bot_set_variable )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3379]) ).
thf(3466,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3380]) ).
thf(3467,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276 != bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3380]) ).
thf(3468,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3381]) ).
thf(3469,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 != bot_bot_set_variable )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3381]) ).
thf(3470,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3382]) ).
thf(3471,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276 != bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3382]) ).
thf(3472,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3383]) ).
thf(3473,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3384]) ).
thf(3474,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3385]) ).
thf(3475,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3386]) ).
thf(3476,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3387]) ).
thf(3477,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 != bot_bot_set_variable )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3387]) ).
thf(3478,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3388]) ).
thf(3479,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213 != bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3388]) ).
thf(3480,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3389]) ).
thf(3481,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 != bot_bot_set_variable )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3389]) ).
thf(3482,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3390]) ).
thf(3483,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213 != bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3390]) ).
thf(3484,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3391]) ).
thf(3485,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3392]) ).
thf(3486,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3393]) ).
thf(3487,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3394]) ).
thf(3488,plain,
! [SV285: variable > $o,SV218: set_variable,SV120: set_variable,SV408: variable] :
( ( ( member_variable @ SV408 @ ( sup_sup_set_variable @ SV120 @ SV218 ) )
= $false )
| ( ( SV285 @ SV408 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3395]) ).
thf(3489,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable] :
( ( ( ! [SY735: variable] :
( ~ ( member_variable @ SY735 @ SV120 )
| ( SV285 @ SY735 ) ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3396]) ).
thf(3490,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable] :
( ( ( ! [SY736: variable] :
( ~ ( member_variable @ SY736 @ SV218 )
| ( SV285 @ SY736 ) ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3397]) ).
thf(3491,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV413: variable] :
( ( ( ~ ( member_variable @ SV413 @ SV120 )
| ( SV285 @ SV413 ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3399]) ).
thf(3492,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV414: variable] :
( ( ( ~ ( member_variable @ SV414 @ SV218 )
| ( SV285 @ SV414 ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3400]) ).
thf(3493,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV415: variable] :
( ( ( ~ ( member_variable @ SV415 @ SV120 )
| ( SV285 @ SV415 ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3402]) ).
thf(3494,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV416: variable] :
( ( ( ~ ( member_variable @ SV416 @ SV218 )
| ( SV285 @ SV416 ) )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3403]) ).
thf(3495,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV410: variable] :
( ( ( ~ ( member_variable @ SV410 @ SV120 ) )
= $true )
| ( ( SV285 @ SV410 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3404]) ).
thf(3496,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV411: variable] :
( ( ( ~ ( member_variable @ SV411 @ SV218 ) )
= $true )
| ( ( SV285 @ SV411 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3405]) ).
thf(3497,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3407]) ).
thf(3498,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3499,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV417 ) ) )
| ~ ~ ( member_variable @ SV126 @ SV417 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3409]) ).
thf(3500,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3410]) ).
thf(3501,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV412 ) ) )
| ~ ~ ( member_variable @ SV126 @ SV412 ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3411]) ).
thf(3502,plain,
! [SV386: variable > real,SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3412]) ).
thf(3503,plain,
! [SV386: variable > real,SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3412]) ).
thf(3504,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3413]) ).
thf(3505,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3414]) ).
thf(3506,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3414]) ).
thf(3507,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm,SV373: variable > real] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3415]) ).
thf(3508,plain,
! [SV373: variable > real,SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3509,plain,
! [SV373: variable > real,SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3510,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3417]) ).
thf(3511,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3417]) ).
thf(3512,plain,
! [SV131: variable,SV292: variable > $o,SV228: set_variable,SV409: variable] :
( ( ( member_variable @ SV409 @ SV228 )
= $false )
| ( ( SV292 @ SV409 )
= $true )
| ( ( SV292 @ SV131 )
= $false )
| ( ( member_variable @ ( sK28_SY748 @ SV131 @ SV292 @ SV228 ) @ SV228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3419]) ).
thf(3513,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV356: variable] :
( ( ( member_variable @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3421]) ).
thf(3514,plain,
! [SV132: set_variable,SV229: set_variable,SV356: variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK33_SY749 @ SV356 @ SV293 @ SV229 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3422]) ).
thf(3515,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV356: variable] :
( ( ( ~ ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3423]) ).
thf(3516,plain,
! [SV132: set_variable,SV229: set_variable,SV356: variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3423]) ).
thf(3517,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV360: variable] :
( ( ( ~ ( member_variable @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) ) )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3424]) ).
thf(3518,plain,
! [SV132: set_variable,SV229: set_variable,SV360: variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) ) )
= $false )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3424]) ).
thf(3519,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV360: variable] :
( ( ( ~ ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3425]) ).
thf(3520,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV361: variable] :
( ( ( ~ ( member_variable @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) ) )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3426]) ).
thf(3521,plain,
! [SV132: set_variable,SV229: set_variable,SV361: variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) ) )
= $false )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3426]) ).
thf(3522,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( ~ ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
| ~ ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3427]) ).
thf(3523,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV397 ) )
= $false )
| ( ( SV50 @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3432]) ).
thf(3524,plain,
! [SV50: variable > $o,SV397: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV397 ) )
= $false )
| ( ( SV50 @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3432]) ).
thf(3525,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( ~ ( SV50 @ SV397 ) )
= $false )
| ( ( bot_bot_variable_o @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3433]) ).
thf(3526,plain,
! [SV50: variable > $o,SV397: variable] :
( ( ( ~ ( bot_bot_variable_o @ SV397 ) )
= $false )
| ( ( bot_bot_variable_o @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3433]) ).
thf(3527,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV382: variable > real] :
( ( ( member_variable_real @ SV382 @ SV80 )
= $true )
| ( ( member_variable_real @ SV382 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3434]) ).
thf(3528,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV382: variable > real] :
( ( ( member_variable_real @ SV382 @ SV307 )
= $true )
| ( ( member_variable_real @ SV382 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3435]) ).
thf(3529,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV382: variable > real] :
( ( ( member_variable_real @ SV382 @ SV80 )
= $true )
| ( ( member_variable_real @ SV382 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3436]) ).
thf(3530,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV382: variable > real] :
( ( ( member_variable_real @ SV382 @ SV307 )
= $true )
| ( ( member_variable_real @ SV382 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV382 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( denota1419872369iation @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3437]) ).
thf(3531,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( member_variable_real @ SV398 @ SV80 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV398 @ SV80 )
| ~ ( member_variable_real @ SV398 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3438]) ).
thf(3532,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV398: variable > real] :
( ( ( member_variable_real @ SV398 @ SV307 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV398 @ SV80 )
| ~ ( member_variable_real @ SV398 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3438]) ).
thf(3533,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV403 @ SV80 )
| ( member_variable_real @ SV403 @ SV307 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV403 @ SV80 )
| ~ ( member_variable_real @ SV403 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3439]) ).
thf(3534,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV383: variable > real] :
( ( ( member_variable_real @ SV383 @ SV80 )
= $true )
| ( ( member_variable_real @ SV383 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3441]) ).
thf(3535,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV383: variable > real] :
( ( ( member_variable_real @ SV383 @ SV307 )
= $true )
| ( ( member_variable_real @ SV383 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3442]) ).
thf(3536,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV383: variable > real] :
( ( ( member_variable_real @ SV383 @ SV80 )
= $true )
| ( ( member_variable_real @ SV383 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3443]) ).
thf(3537,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV383: variable > real] :
( ( ( member_variable_real @ SV383 @ SV307 )
= $true )
| ( ( member_variable_real @ SV383 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV383 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3444]) ).
thf(3538,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV384: variable > real] :
( ( ( member_variable_real @ SV384 @ SV89 )
= $true )
| ( ( member_variable_real @ SV384 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3445]) ).
thf(3539,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV384: variable > real] :
( ( ( member_variable_real @ SV384 @ SV308 )
= $true )
| ( ( member_variable_real @ SV384 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3446]) ).
thf(3540,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV384: variable > real] :
( ( ( member_variable_real @ SV384 @ SV89 )
= $true )
| ( ( member_variable_real @ SV384 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3447]) ).
thf(3541,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV384: variable > real] :
( ( ( member_variable_real @ SV384 @ SV308 )
= $true )
| ( ( member_variable_real @ SV384 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV384 @ SV189 @ SV263 )
= $false )
| ( ( denota1419872369iation @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV189 @ SV263 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3448]) ).
thf(3542,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( member_variable_real @ SV399 @ SV89 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV399 @ SV89 )
| ~ ( member_variable_real @ SV399 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3449]) ).
thf(3543,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV399: variable > real] :
( ( ( member_variable_real @ SV399 @ SV308 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV399 @ SV89 )
| ~ ( member_variable_real @ SV399 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3449]) ).
thf(3544,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( ~ ( ( member_variable_real @ SV404 @ SV89 )
| ( member_variable_real @ SV404 @ SV308 ) ) )
= $true )
| ( ( ~ ( ~ ( member_variable_real @ SV404 @ SV89 )
| ~ ( member_variable_real @ SV404 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3450]) ).
thf(3545,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV385: variable > real] :
( ( ( member_variable_real @ SV385 @ SV89 )
= $true )
| ( ( member_variable_real @ SV385 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3452]) ).
thf(3546,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV385: variable > real] :
( ( ( member_variable_real @ SV385 @ SV308 )
= $true )
| ( ( member_variable_real @ SV385 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3453]) ).
thf(3547,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV385: variable > real] :
( ( ( member_variable_real @ SV385 @ SV89 )
= $true )
| ( ( member_variable_real @ SV385 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3454]) ).
thf(3548,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV385: variable > real] :
( ( ( member_variable_real @ SV385 @ SV308 )
= $true )
| ( ( member_variable_real @ SV385 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV385 @ SV189 @ SV263 )
= $false )
| ( ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3455]) ).
thf(3549,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3464]) ).
thf(3550,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3465]) ).
thf(3551,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3466]) ).
thf(3552,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3467]) ).
thf(3553,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3468]) ).
thf(3554,plain,
! [SV110: variable,SV208: set_variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3469]) ).
thf(3555,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3470]) ).
thf(3556,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3471]) ).
thf(3557,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3472]) ).
thf(3558,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3473]) ).
thf(3559,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3474]) ).
thf(3560,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3475]) ).
thf(3561,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3476]) ).
thf(3562,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3477]) ).
thf(3563,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3478]) ).
thf(3564,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3479]) ).
thf(3565,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3480]) ).
thf(3566,plain,
! [SV281: variable,SV115: set_variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3481]) ).
thf(3567,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3482]) ).
thf(3568,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( ~ ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3483]) ).
thf(3569,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3484]) ).
thf(3570,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3485]) ).
thf(3571,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3486]) ).
thf(3572,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3487]) ).
thf(3573,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV418: variable] :
( ( ( ~ ( member_variable @ SV418 @ SV120 )
| ( SV285 @ SV418 ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3489]) ).
thf(3574,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV419: variable] :
( ( ( ~ ( member_variable @ SV419 @ SV218 )
| ( SV285 @ SV419 ) )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3490]) ).
thf(3575,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV413: variable] :
( ( ( ~ ( member_variable @ SV413 @ SV120 ) )
= $true )
| ( ( SV285 @ SV413 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3491]) ).
thf(3576,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV414: variable] :
( ( ( ~ ( member_variable @ SV414 @ SV218 ) )
= $true )
| ( ( SV285 @ SV414 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3492]) ).
thf(3577,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV415: variable] :
( ( ( ~ ( member_variable @ SV415 @ SV120 ) )
= $true )
| ( ( SV285 @ SV415 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3493]) ).
thf(3578,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV416: variable] :
( ( ( ~ ( member_variable @ SV416 @ SV218 ) )
= $true )
| ( ( SV285 @ SV416 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3494]) ).
thf(3579,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV410: variable] :
( ( ( member_variable @ SV410 @ SV120 )
= $false )
| ( ( SV285 @ SV410 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3495]) ).
thf(3580,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV411: variable] :
( ( ( member_variable @ SV411 @ SV218 )
= $false )
| ( ( SV285 @ SV411 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( SV285 @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3496]) ).
thf(3581,plain,
! [SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3497]) ).
thf(3582,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3498]) ).
thf(3583,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV417 ) ) )
| ~ ~ ( member_variable @ SV126 @ SV417 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3499]) ).
thf(3584,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3500]) ).
thf(3585,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3500]) ).
thf(3586,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV412 ) ) )
| ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3501]) ).
thf(3587,plain,
! [SV386: variable > real,SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ~ ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3502]) ).
thf(3588,plain,
! [SV386: variable > real,SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3503]) ).
thf(3589,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3504]) ).
thf(3590,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3505]) ).
thf(3591,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3506]) ).
thf(3592,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm,SV373: variable > real] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3507]) ).
thf(3593,plain,
! [SV373: variable > real,SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3508]) ).
thf(3594,plain,
! [SV373: variable > real,SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3509]) ).
thf(3595,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm] :
( ( ( denota1419872369iation @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3510]) ).
thf(3596,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3511]) ).
thf(3597,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV356: variable] :
( ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3515]) ).
thf(3598,plain,
! [SV132: set_variable,SV229: set_variable,SV356: variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3516]) ).
thf(3599,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV360: variable] :
( ( ( member_variable @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3517]) ).
thf(3600,plain,
! [SV132: set_variable,SV229: set_variable,SV360: variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK36_SY749 @ SV360 @ SV293 @ SV229 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3518]) ).
thf(3601,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV360: variable] :
( ( ( ~ ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3519]) ).
thf(3602,plain,
! [SV132: set_variable,SV229: set_variable,SV360: variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3519]) ).
thf(3603,plain,
! [SV132: set_variable,SV229: set_variable,SV293: variable > $o,SV361: variable] :
( ( ( member_variable @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3520]) ).
thf(3604,plain,
! [SV132: set_variable,SV229: set_variable,SV361: variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK37_SY749 @ SV361 @ SV293 @ SV229 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3521]) ).
thf(3605,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( ~ ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3522]) ).
thf(3606,plain,
! [SV132: set_variable,SV229: set_variable,SV361: variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) ) )
= $false )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3522]) ).
thf(3607,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( SV50 @ SV397 )
= $true )
| ( ( SV50 @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3523]) ).
thf(3608,plain,
! [SV50: variable > $o,SV397: variable] :
( ( ( bot_bot_variable_o @ SV397 )
= $true )
| ( ( SV50 @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3524]) ).
thf(3609,plain,
! [SV397: variable,SV50: variable > $o] :
( ( ( SV50 @ SV397 )
= $true )
| ( ( bot_bot_variable_o @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3525]) ).
thf(3610,plain,
! [SV50: variable > $o,SV397: variable] :
( ( ( bot_bot_variable_o @ SV397 )
= $true )
| ( ( bot_bot_variable_o @ SV397 )
= $false )
| ( ( SV50 @ ( sK11_SV338 @ SV50 ) )
= $false )
| ( ( bot_bot_variable_o @ ( sK11_SV338 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3526]) ).
thf(3611,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( ~ ( member_variable_real @ SV398 @ SV80 )
| ~ ( member_variable_real @ SV398 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV398 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3612,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( ~ ( member_variable_real @ SV398 @ SV80 )
| ~ ( member_variable_real @ SV398 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV398 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3532]) ).
thf(3613,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( ( member_variable_real @ SV403 @ SV80 )
| ( member_variable_real @ SV403 @ SV307 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV403 @ SV80 )
| ~ ( member_variable_real @ SV403 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3533]) ).
thf(3614,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( ~ ( member_variable_real @ SV399 @ SV89 )
| ~ ( member_variable_real @ SV399 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV399 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3542]) ).
thf(3615,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( ~ ( member_variable_real @ SV399 @ SV89 )
| ~ ( member_variable_real @ SV399 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV399 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3543]) ).
thf(3616,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( ( member_variable_real @ SV404 @ SV89 )
| ( member_variable_real @ SV404 @ SV308 ) )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV404 @ SV89 )
| ~ ( member_variable_real @ SV404 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3544]) ).
thf(3617,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3549]) ).
thf(3618,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3550]) ).
thf(3619,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3551]) ).
thf(3620,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3552]) ).
thf(3621,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3553]) ).
thf(3622,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3554]) ).
thf(3623,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3555]) ).
thf(3624,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
| ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3556]) ).
thf(3625,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3557]) ).
thf(3626,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3557]) ).
thf(3627,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3558]) ).
thf(3628,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3558]) ).
thf(3629,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3559]) ).
thf(3630,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3559]) ).
thf(3631,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3560]) ).
thf(3632,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3560]) ).
thf(3633,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3561]) ).
thf(3634,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3562]) ).
thf(3635,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3563]) ).
thf(3636,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3564]) ).
thf(3637,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3565]) ).
thf(3638,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3639,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3567]) ).
thf(3640,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
| ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3568]) ).
thf(3641,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3569]) ).
thf(3642,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3569]) ).
thf(3643,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3570]) ).
thf(3644,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3570]) ).
thf(3645,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3571]) ).
thf(3646,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3571]) ).
thf(3647,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3572]) ).
thf(3648,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3572]) ).
thf(3649,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV418: variable] :
( ( ( ~ ( member_variable @ SV418 @ SV120 ) )
= $true )
| ( ( SV285 @ SV418 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3573]) ).
thf(3650,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV419: variable] :
( ( ( ~ ( member_variable @ SV419 @ SV218 ) )
= $true )
| ( ( SV285 @ SV419 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3574]) ).
thf(3651,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV413: variable] :
( ( ( member_variable @ SV413 @ SV120 )
= $false )
| ( ( SV285 @ SV413 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3575]) ).
thf(3652,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV414: variable] :
( ( ( member_variable @ SV414 @ SV218 )
= $false )
| ( ( SV285 @ SV414 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( SV285 @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3576]) ).
thf(3653,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV415: variable] :
( ( ( member_variable @ SV415 @ SV120 )
= $false )
| ( ( SV285 @ SV415 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3577]) ).
thf(3654,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV416: variable] :
( ( ( member_variable @ SV416 @ SV218 )
= $false )
| ( ( SV285 @ SV416 )
= $true )
| ( ( SV285 @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) )
= $false )
| ( ( member_variable @ ( sK31_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3578]) ).
thf(3655,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3581]) ).
thf(3656,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3582]) ).
thf(3657,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3582]) ).
thf(3658,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV417 ) ) )
| ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3583]) ).
thf(3659,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3584]) ).
thf(3660,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3585]) ).
thf(3661,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV412 ) ) ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3586]) ).
thf(3662,plain,
! [SV386: variable > real,SV323: trm,SV335: denotational_interp,SV343: trm,SV348: denotational_interp,SV350: char,SV355: real > variable > real] :
( ( ( ! [SY808: variable > real] :
~ ~ ( ~ ( denota1419872369iation @ SY808 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SY808 )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ SY808 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3587]) ).
thf(3663,plain,
! [SV386: variable > real,SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3588]) ).
thf(3664,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3589]) ).
thf(3665,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3591]) ).
thf(3666,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm,SV373: variable > real] :
( ( ( ~ ( denota1419872369iation @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3592]) ).
thf(3667,plain,
! [SV373: variable > real,SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3594]) ).
thf(3668,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK34_SY801 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $false )
| ( ( denota1419872369iation @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( rr @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3596]) ).
thf(3669,plain,
! [SV132: set_variable,SV356: variable,SV293: variable > $o,SV229: set_variable] :
( ( ( ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3597]) ).
thf(3670,plain,
! [SV132: set_variable,SV356: variable,SV293: variable > $o,SV229: set_variable] :
( ( ( ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3598]) ).
thf(3671,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV360: variable] :
( ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3601]) ).
thf(3672,plain,
! [SV132: set_variable,SV229: set_variable,SV360: variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3602]) ).
thf(3673,plain,
! [SV132: set_variable,SV293: variable > $o,SV229: set_variable,SV361: variable] :
( ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3605]) ).
thf(3674,plain,
! [SV132: set_variable,SV229: set_variable,SV361: variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( ~ ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3606]) ).
thf(3675,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV398: variable > real] :
( ( ( ~ ( member_variable_real @ SV398 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV398 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3611]) ).
thf(3676,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV398: variable > real] :
( ( ( ~ ( member_variable_real @ SV398 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV398 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3611]) ).
thf(3677,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( ~ ( member_variable_real @ SV398 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV398 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3612]) ).
thf(3678,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV398: variable > real] :
( ( ( ~ ( member_variable_real @ SV398 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV398 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3612]) ).
thf(3679,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( member_variable_real @ SV403 @ SV80 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV403 @ SV80 )
| ~ ( member_variable_real @ SV403 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3613]) ).
thf(3680,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV403: variable > real] :
( ( ( member_variable_real @ SV403 @ SV307 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV403 @ SV80 )
| ~ ( member_variable_real @ SV403 @ SV307 ) ) )
= $true )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3613]) ).
thf(3681,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV399: variable > real] :
( ( ( ~ ( member_variable_real @ SV399 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV399 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3614]) ).
thf(3682,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV399: variable > real] :
( ( ( ~ ( member_variable_real @ SV399 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV399 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3614]) ).
thf(3683,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( ~ ( member_variable_real @ SV399 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV399 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3615]) ).
thf(3684,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV399: variable > real] :
( ( ( ~ ( member_variable_real @ SV399 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV399 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3615]) ).
thf(3685,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( member_variable_real @ SV404 @ SV89 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV404 @ SV89 )
| ~ ( member_variable_real @ SV404 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3616]) ).
thf(3686,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV404: variable > real] :
( ( ( member_variable_real @ SV404 @ SV308 )
= $false )
| ( ( ~ ( ~ ( member_variable_real @ SV404 @ SV89 )
| ~ ( member_variable_real @ SV404 @ SV308 ) ) )
= $true )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3616]) ).
thf(3687,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3617]) ).
thf(3688,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3617]) ).
thf(3689,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3618]) ).
thf(3690,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3618]) ).
thf(3691,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3619]) ).
thf(3692,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3619]) ).
thf(3693,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3620]) ).
thf(3694,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3620]) ).
thf(3695,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3621]) ).
thf(3696,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3621]) ).
thf(3697,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3622]) ).
thf(3698,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3622]) ).
thf(3699,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3623]) ).
thf(3700,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3623]) ).
thf(3701,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3624]) ).
thf(3702,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
!= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3624]) ).
thf(3703,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3625]) ).
thf(3704,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3626]) ).
thf(3705,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3627]) ).
thf(3706,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3628]) ).
thf(3707,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3629]) ).
thf(3708,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3630]) ).
thf(3709,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3631]) ).
thf(3710,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3632]) ).
thf(3711,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3633]) ).
thf(3712,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3633]) ).
thf(3713,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3634]) ).
thf(3714,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3634]) ).
thf(3715,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3635]) ).
thf(3716,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3635]) ).
thf(3717,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3636]) ).
thf(3718,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3636]) ).
thf(3719,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3637]) ).
thf(3720,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3637]) ).
thf(3721,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3638]) ).
thf(3722,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3638]) ).
thf(3723,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3639]) ).
thf(3724,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3639]) ).
thf(3725,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3640]) ).
thf(3726,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
!= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3640]) ).
thf(3727,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3641]) ).
thf(3728,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3642]) ).
thf(3729,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3643]) ).
thf(3730,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3644]) ).
thf(3731,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3645]) ).
thf(3732,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3646]) ).
thf(3733,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3647]) ).
thf(3734,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3648]) ).
thf(3735,plain,
! [SV218: set_variable,SV285: variable > $o,SV120: set_variable,SV418: variable] :
( ( ( member_variable @ SV418 @ SV120 )
= $false )
| ( ( SV285 @ SV418 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3649]) ).
thf(3736,plain,
! [SV120: set_variable,SV285: variable > $o,SV218: set_variable,SV419: variable] :
( ( ( member_variable @ SV419 @ SV218 )
= $false )
| ( ( SV285 @ SV419 )
= $true )
| ( ( member_variable @ ( sK27_SY735 @ SV218 @ SV285 @ SV120 ) @ SV120 )
= $true )
| ( ( member_variable @ ( sK32_SY736 @ SV120 @ SV285 @ SV218 ) @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3650]) ).
thf(3737,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3655]) ).
thf(3738,plain,
! [SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3656]) ).
thf(3739,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3657]) ).
thf(3740,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV417 ) ) ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3658]) ).
thf(3741,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3660]) ).
thf(3742,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV412 ) ) ) )
= $false )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3661]) ).
thf(3743,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm,SV386: variable > real] :
( ( ( ~ ~ ( ~ ( denota1419872369iation @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3662]) ).
thf(3744,plain,
! [SV386: variable > real,SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3663]) ).
thf(3745,plain,
! [SV386: variable > real,SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3663]) ).
thf(3746,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( ~ ( denota1419872369iation @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3664]) ).
thf(3747,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3664]) ).
thf(3748,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm,SV373: variable > real] :
( ( ( ~ ( denota1419872369iation @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3666]) ).
thf(3749,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV373: variable > real,SV289: trm,SV324: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3666]) ).
thf(3750,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) ) ) )
= $false )
| ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3669]) ).
thf(3751,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) ) ) )
= $false )
| ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3670]) ).
thf(3752,plain,
! [SV132: set_variable,SV360: variable,SV293: variable > $o,SV229: set_variable] :
( ( ( ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3671]) ).
thf(3753,plain,
! [SV132: set_variable,SV360: variable,SV293: variable > $o,SV229: set_variable] :
( ( ( ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3672]) ).
thf(3754,plain,
! [SV132: set_variable,SV361: variable,SV293: variable > $o,SV229: set_variable] :
( ( ( ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3673]) ).
thf(3755,plain,
! [SV132: set_variable,SV361: variable,SV293: variable > $o,SV229: set_variable] :
( ( ( ! [SY751: variable] :
~ ~ ( ~ ( member_variable @ SY751 @ SV229 )
| ~ ( SV293 @ SY751 ) ) )
= $false )
| ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3674]) ).
thf(3756,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV398: variable > real] :
( ( ( member_variable_real @ SV398 @ SV80 )
= $true )
| ( ( member_variable_real @ SV398 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3675]) ).
thf(3757,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV398: variable > real] :
( ( ( member_variable_real @ SV398 @ SV307 )
= $true )
| ( ( member_variable_real @ SV398 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3676]) ).
thf(3758,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV398: variable > real] :
( ( ( member_variable_real @ SV398 @ SV80 )
= $true )
| ( ( member_variable_real @ SV398 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3677]) ).
thf(3759,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV398: variable > real] :
( ( ( member_variable_real @ SV398 @ SV307 )
= $true )
| ( ( member_variable_real @ SV398 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV398 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $true )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3678]) ).
thf(3760,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( ~ ( member_variable_real @ SV403 @ SV80 )
| ~ ( member_variable_real @ SV403 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV403 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3679]) ).
thf(3761,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( ~ ( member_variable_real @ SV403 @ SV80 )
| ~ ( member_variable_real @ SV403 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV403 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3680]) ).
thf(3762,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV399: variable > real] :
( ( ( member_variable_real @ SV399 @ SV89 )
= $true )
| ( ( member_variable_real @ SV399 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3681]) ).
thf(3763,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV399: variable > real] :
( ( ( member_variable_real @ SV399 @ SV308 )
= $true )
| ( ( member_variable_real @ SV399 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3682]) ).
thf(3764,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV399: variable > real] :
( ( ( member_variable_real @ SV399 @ SV89 )
= $true )
| ( ( member_variable_real @ SV399 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3683]) ).
thf(3765,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV399: variable > real] :
( ( ( member_variable_real @ SV399 @ SV308 )
= $true )
| ( ( member_variable_real @ SV399 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV399 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $true )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3684]) ).
thf(3766,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( ~ ( member_variable_real @ SV404 @ SV89 )
| ~ ( member_variable_real @ SV404 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV404 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3685]) ).
thf(3767,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( ~ ( member_variable_real @ SV404 @ SV89 )
| ~ ( member_variable_real @ SV404 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV404 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3686]) ).
thf(3768,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3687]) ).
thf(3769,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3688]) ).
thf(3770,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3689]) ).
thf(3771,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3690]) ).
thf(3772,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3691]) ).
thf(3773,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3692]) ).
thf(3774,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3693]) ).
thf(3775,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $false )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3694]) ).
thf(3776,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3695]) ).
thf(3777,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3696]) ).
thf(3778,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3697]) ).
thf(3779,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208 = bot_bot_set_variable )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3698]) ).
thf(3780,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3699]) ).
thf(3781,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3700]) ).
thf(3782,plain,
! [SV276: set_variable,SV110: variable,SV208: set_variable] :
( ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3701]) ).
thf(3783,plain,
! [SV208: set_variable,SV110: variable,SV276: set_variable] :
( ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $true )
| ( ( SV276 = bot_bot_set_variable )
= $true )
| ( ( SV208
= ( insert_variable @ SV110 @ bot_bot_set_variable ) )
= $false )
| ( ( SV276 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3702]) ).
thf(3784,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3711]) ).
thf(3785,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3712]) ).
thf(3786,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3713]) ).
thf(3787,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3714]) ).
thf(3788,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3715]) ).
thf(3789,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3716]) ).
thf(3790,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3717]) ).
thf(3791,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $false )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3718]) ).
thf(3792,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3719]) ).
thf(3793,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3720]) ).
thf(3794,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3721]) ).
thf(3795,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115 = bot_bot_set_variable )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3722]) ).
thf(3796,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3723]) ).
thf(3797,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3724]) ).
thf(3798,plain,
! [SV213: set_variable,SV281: variable,SV115: set_variable] :
( ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3725]) ).
thf(3799,plain,
! [SV115: set_variable,SV281: variable,SV213: set_variable] :
( ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $true )
| ( ( SV213 = bot_bot_set_variable )
= $true )
| ( ( SV115
= ( insert_variable @ SV281 @ bot_bot_set_variable ) )
= $false )
| ( ( SV213 = bot_bot_set_variable )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3726]) ).
thf(3800,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3737]) ).
thf(3801,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3739]) ).
thf(3802,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV417 ) ) ) )
= $false )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3740]) ).
thf(3803,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3741]) ).
thf(3804,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3741]) ).
thf(3805,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV412 ) ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3742]) ).
thf(3806,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm,SV386: variable > real] :
( ( ( ~ ( ~ ( denota1419872369iation @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) ) )
= $true )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3743]) ).
thf(3807,plain,
! [SV386: variable > real,SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3744]) ).
thf(3808,plain,
! [SV386: variable > real,SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3745]) ).
thf(3809,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm] :
( ( ( denota1419872369iation @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3746]) ).
thf(3810,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3747]) ).
thf(3811,plain,
! [SV344: real > variable > real,SV336: char,SV324: denotational_interp,SV289: trm,SV225: denotational_interp,SV128: trm,SV373: variable > real] :
( ( ( denota1419872369iation @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3748]) ).
thf(3812,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV373: variable > real,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
!= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $true )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3749]) ).
thf(3813,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) ) ) )
= $true )
| ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3750]) ).
thf(3814,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) ) ) )
= $true )
| ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3751]) ).
thf(3815,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) ) ) )
= $false )
| ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3752]) ).
thf(3816,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) ) ) )
= $false )
| ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3753]) ).
thf(3817,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) ) ) )
= $false )
| ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3754]) ).
thf(3818,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( ~ ~ ( ~ ( member_variable @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) ) ) )
= $false )
| ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3755]) ).
thf(3819,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV403: variable > real] :
( ( ( ~ ( member_variable_real @ SV403 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV403 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3760]) ).
thf(3820,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV403: variable > real] :
( ( ( ~ ( member_variable_real @ SV403 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV403 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3760]) ).
thf(3821,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( ~ ( member_variable_real @ SV403 @ SV80 ) )
= $false )
| ( ( member_variable_real @ SV403 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3761]) ).
thf(3822,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV403: variable > real] :
( ( ( ~ ( member_variable_real @ SV403 @ SV307 ) )
= $false )
| ( ( member_variable_real @ SV403 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3761]) ).
thf(3823,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV404: variable > real] :
( ( ( ~ ( member_variable_real @ SV404 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV404 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3766]) ).
thf(3824,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV404: variable > real] :
( ( ( ~ ( member_variable_real @ SV404 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV404 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3766]) ).
thf(3825,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( ~ ( member_variable_real @ SV404 @ SV89 ) )
= $false )
| ( ( member_variable_real @ SV404 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3767]) ).
thf(3826,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV404: variable > real] :
( ( ( ~ ( member_variable_real @ SV404 @ SV308 ) )
= $false )
| ( ( member_variable_real @ SV404 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3767]) ).
thf(3827,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3800]) ).
thf(3828,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( ~ ~ ( member_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3800]) ).
thf(3829,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3801]) ).
thf(3830,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3801]) ).
thf(3831,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SV417 ) ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3802]) ).
thf(3832,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3803]) ).
thf(3833,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3804]) ).
thf(3834,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) ) )
= $true )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV412 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3805]) ).
thf(3835,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm,SV386: variable > real] :
( ( ( ~ ( denota1419872369iation @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
| ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3806]) ).
thf(3836,plain,
! [SV386: variable > real,SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3808]) ).
thf(3837,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK40_SY808 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $false )
| ( ( denota1419872369iation @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK1_SX0 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3810]) ).
thf(3838,plain,
! [SV344: real > variable > real,SV336: char,SV225: denotational_interp,SV128: trm,SV373: variable > real,SV289: trm,SV324: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ ( sK41_SY801 @ SV373 @ SV128 @ SV225 @ SV289 @ SV324 @ SV336 @ SV344 ) ) )
= $false )
| ( ( denota1419872369iation @ SV373 @ ( SV344 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV336 ) @ ( insert_variable @ ( dVar @ SV336 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV324 @ SV289 @ SV373 )
= ( denota1863255036rm_sem @ SV225 @ SV128 @ SV373 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3812]) ).
thf(3839,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) ) )
= $false )
| ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3813]) ).
thf(3840,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) ) )
= $false )
| ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3814]) ).
thf(3841,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) ) ) )
= $true )
| ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3815]) ).
thf(3842,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) ) ) )
= $true )
| ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3816]) ).
thf(3843,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) ) ) )
= $true )
| ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3817]) ).
thf(3844,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( ~ ( ~ ( member_variable @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) ) ) )
= $true )
| ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3818]) ).
thf(3845,plain,
! [SV307: set_variable_real,SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV403: variable > real] :
( ( ( member_variable_real @ SV403 @ SV80 )
= $true )
| ( ( member_variable_real @ SV403 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3819]) ).
thf(3846,plain,
! [SV260: set_variable,SV181: variable > real,SV80: set_variable_real,SV307: set_variable_real,SV403: variable > real] :
( ( ( member_variable_real @ SV403 @ SV307 )
= $true )
| ( ( member_variable_real @ SV403 @ SV80 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3820]) ).
thf(3847,plain,
! [SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV80: set_variable_real,SV403: variable > real] :
( ( ( member_variable_real @ SV403 @ SV80 )
= $true )
| ( ( member_variable_real @ SV403 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3821]) ).
thf(3848,plain,
! [SV80: set_variable_real,SV260: set_variable,SV181: variable > real,SV307: set_variable_real,SV403: variable > real] :
( ( ( member_variable_real @ SV403 @ SV307 )
= $true )
| ( ( member_variable_real @ SV403 @ SV307 )
= $false )
| ( ( denota1419872369iation @ SV403 @ SV181 @ ( uminus1851247844riable @ SV260 ) )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV80 )
= $false )
| ( ( member_variable_real @ ( sK21_SY754 @ SV307 @ SV80 @ SV260 @ SV181 ) @ SV307 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3822]) ).
thf(3849,plain,
! [SV308: set_variable_real,SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV404: variable > real] :
( ( ( member_variable_real @ SV404 @ SV89 )
= $true )
| ( ( member_variable_real @ SV404 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3823]) ).
thf(3850,plain,
! [SV263: set_variable,SV189: variable > real,SV89: set_variable_real,SV308: set_variable_real,SV404: variable > real] :
( ( ( member_variable_real @ SV404 @ SV308 )
= $true )
| ( ( member_variable_real @ SV404 @ SV89 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3824]) ).
thf(3851,plain,
! [SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV89: set_variable_real,SV404: variable > real] :
( ( ( member_variable_real @ SV404 @ SV89 )
= $true )
| ( ( member_variable_real @ SV404 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3825]) ).
thf(3852,plain,
! [SV89: set_variable_real,SV263: set_variable,SV189: variable > real,SV308: set_variable_real,SV404: variable > real] :
( ( ( member_variable_real @ SV404 @ SV308 )
= $true )
| ( ( member_variable_real @ SV404 @ SV308 )
= $false )
| ( ( denota1419872369iation @ SV404 @ SV189 @ SV263 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV89 )
= $false )
| ( ( member_variable_real @ ( sK22_SY755 @ SV308 @ SV89 @ SV263 @ SV189 ) @ SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3826]) ).
thf(3853,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3827]) ).
thf(3854,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( ~ ( member_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3828]) ).
thf(3855,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3829]) ).
thf(3856,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3830]) ).
thf(3857,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) ) )
= $true )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV417 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3831]) ).
thf(3858,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $true )
| ( ( SV223 = SV322 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3832]) ).
thf(3859,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) ) )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3833]) ).
thf(3860,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) ) )
= $false )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV412 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3834]) ).
thf(3861,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm,SV386: variable > real] :
( ( ( ~ ( denota1419872369iation @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3835]) ).
thf(3862,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV386: variable > real,SV343: trm,SV348: denotational_interp] :
( ( ( ~ ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3835]) ).
thf(3863,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 ) )
= $false )
| ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3839]) ).
thf(3864,plain,
! [SV229: set_variable,SV356: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) ) )
= $false )
| ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3839]) ).
thf(3865,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 ) )
= $false )
| ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3840]) ).
thf(3866,plain,
! [SV229: set_variable,SV356: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) ) )
= $false )
| ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3840]) ).
thf(3867,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) ) )
= $false )
| ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3841]) ).
thf(3868,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) ) )
= $false )
| ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3842]) ).
thf(3869,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) ) )
= $false )
| ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3843]) ).
thf(3870,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 )
| ~ ( SV293 @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) ) )
= $false )
| ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3844]) ).
thf(3871,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3853]) ).
thf(3872,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( member_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3854]) ).
thf(3873,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $true )
| ( ( SV223 = SV322 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3855]) ).
thf(3874,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) ) )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3856]) ).
thf(3875,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) ) )
= $false )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV417 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3857]) ).
thf(3876,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $false )
| ( ( SV223 = SV322 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3858]) ).
thf(3877,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $false )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3859]) ).
thf(3878,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
| ~ ~ ( member_variable @ SV288 @ SV412 ) )
= $true )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV412 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3860]) ).
thf(3879,plain,
! [SV355: real > variable > real,SV350: char,SV348: denotational_interp,SV343: trm,SV335: denotational_interp,SV323: trm,SV386: variable > real] :
( ( ( denota1419872369iation @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $true )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3861]) ).
thf(3880,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV386: variable > real,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
!= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $true )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3862]) ).
thf(3881,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( member_variable @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 )
= $true )
| ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3863]) ).
thf(3882,plain,
! [SV229: set_variable,SV356: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK44_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) )
= $true )
| ( ( member_variable @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3864]) ).
thf(3883,plain,
! [SV229: set_variable,SV293: variable > $o,SV356: variable,SV132: set_variable] :
( ( ( member_variable @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) @ SV229 )
= $true )
| ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3865]) ).
thf(3884,plain,
! [SV229: set_variable,SV356: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK45_SY751 @ SV132 @ SV356 @ SV293 @ SV229 ) )
= $true )
| ( ( SV293 @ ( sK35_SY750 @ SV356 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV356 @ ( sup_sup_set_variable @ SV132 @ SV229 ) )
= $false )
| ( ( SV293 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3866]) ).
thf(3885,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 ) )
= $false )
| ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3867]) ).
thf(3886,plain,
! [SV229: set_variable,SV360: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) ) )
= $false )
| ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3867]) ).
thf(3887,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 ) )
= $false )
| ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3868]) ).
thf(3888,plain,
! [SV229: set_variable,SV360: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) ) )
= $false )
| ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3868]) ).
thf(3889,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 ) )
= $false )
| ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3869]) ).
thf(3890,plain,
! [SV229: set_variable,SV361: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) ) )
= $false )
| ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3869]) ).
thf(3891,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( ~ ( member_variable @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 ) )
= $false )
| ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3870]) ).
thf(3892,plain,
! [SV229: set_variable,SV361: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( ~ ( SV293 @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) ) )
= $false )
| ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3870]) ).
thf(3893,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3871]) ).
thf(3894,plain,
! [SV223: set_variable,SV288: variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
!= ( insert_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3871]) ).
thf(3895,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $false )
| ( ( SV223 = SV322 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3873]) ).
thf(3896,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $false )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3874]) ).
thf(3897,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
| ~ ~ ( member_variable @ SV288 @ SV417 ) )
= $true )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV417 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3875]) ).
thf(3898,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3877]) ).
thf(3899,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
!= ( insert_variable @ SV288 @ SV412 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV288 @ SV412 ) )
= $true )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV412 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3878]) ).
thf(3900,plain,
! [SV355: real > variable > real,SV350: char,SV335: denotational_interp,SV323: trm,SV386: variable > real,SV343: trm,SV348: denotational_interp] :
( ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ ( sK43_SY808 @ SV386 @ SV323 @ SV335 @ SV343 @ SV348 @ SV350 @ SV355 ) ) )
= $false )
| ( ( denota1419872369iation @ SV386 @ ( SV355 @ zero_zero_real ) @ ( insert_variable @ ( rVar @ SV350 ) @ ( insert_variable @ ( dVar @ SV350 ) @ bot_bot_set_variable ) ) )
= $false )
| ( ( ( denota1863255036rm_sem @ SV348 @ SV343 @ SV386 )
= ( denota1863255036rm_sem @ SV335 @ SV323 @ SV386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3880]) ).
thf(3901,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( member_variable @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 )
= $true )
| ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3885]) ).
thf(3902,plain,
! [SV229: set_variable,SV360: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK46_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) )
= $true )
| ( ( member_variable @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3886]) ).
thf(3903,plain,
! [SV229: set_variable,SV293: variable > $o,SV360: variable,SV132: set_variable] :
( ( ( member_variable @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) @ SV229 )
= $true )
| ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3887]) ).
thf(3904,plain,
! [SV229: set_variable,SV360: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK47_SY751 @ SV132 @ SV360 @ SV293 @ SV229 ) )
= $true )
| ( ( SV293 @ ( sK38_SY750 @ SV360 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV360 @ SV132 )
= $false )
| ( ( SV293 @ SV360 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3888]) ).
thf(3905,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( member_variable @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 )
= $true )
| ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3889]) ).
thf(3906,plain,
! [SV229: set_variable,SV361: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK48_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) )
= $true )
| ( ( member_variable @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) @ SV132 )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3890]) ).
thf(3907,plain,
! [SV229: set_variable,SV293: variable > $o,SV361: variable,SV132: set_variable] :
( ( ( member_variable @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) @ SV229 )
= $true )
| ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3891]) ).
thf(3908,plain,
! [SV229: set_variable,SV361: variable,SV132: set_variable,SV293: variable > $o] :
( ( ( SV293 @ ( sK49_SY751 @ SV132 @ SV361 @ SV293 @ SV229 ) )
= $true )
| ( ( SV293 @ ( sK39_SY750 @ SV361 @ SV229 @ SV293 @ SV132 ) )
= $true )
| ( ( member_variable @ SV361 @ SV229 )
= $false )
| ( ( SV293 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3892]) ).
thf(3909,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3893]) ).
thf(3910,plain,
! [SV223: set_variable,SV288: variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
= ( insert_variable @ SV126 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3894]) ).
thf(3911,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3896]) ).
thf(3912,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
!= ( insert_variable @ SV288 @ SV417 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV288 @ SV417 ) )
= $true )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV417 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3897]) ).
thf(3913,plain,
! [SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3898]) ).
thf(3914,plain,
! [SV126: variable,SV322: set_variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( ~ ~ ( member_variable @ SV288 @ SV412 ) )
= $true )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV412 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3899]) ).
thf(3915,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3909]) ).
thf(3916,plain,
! [SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3911]) ).
thf(3917,plain,
! [SV126: variable,SV322: set_variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( ~ ~ ( member_variable @ SV288 @ SV417 ) )
= $true )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV417 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3912]) ).
thf(3918,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3913]) ).
thf(3919,plain,
! [SV126: variable,SV322: set_variable,SV223: set_variable,SV412: set_variable,SV288: variable] :
( ( ( ~ ( member_variable @ SV288 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV412 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3914]) ).
thf(3920,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3915]) ).
thf(3921,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( ~ ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3915]) ).
thf(3922,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3916]) ).
thf(3923,plain,
! [SV126: variable,SV322: set_variable,SV223: set_variable,SV417: set_variable,SV288: variable] :
( ( ( ~ ( member_variable @ SV288 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV417 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3917]) ).
thf(3924,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3918]) ).
thf(3925,plain,
! [SV126: variable,SV322: set_variable,SV223: set_variable,SV412: set_variable,SV288: variable] :
( ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV412 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3919]) ).
thf(3926,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
= ( insert_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3920]) ).
thf(3927,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( ~ ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3921]) ).
thf(3928,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3922]) ).
thf(3929,plain,
! [SV126: variable,SV322: set_variable,SV223: set_variable,SV417: set_variable,SV288: variable] :
( ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( SV322
!= ( insert_variable @ SV126 @ SV417 ) )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3923]) ).
thf(3930,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3924]) ).
thf(3931,plain,
! [SV288: variable,SV223: set_variable,SV412: set_variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV412 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3925]) ).
thf(3932,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( member_variable @ SV288 @ ( sK42_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3927]) ).
thf(3933,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3928]) ).
thf(3934,plain,
! [SV288: variable,SV223: set_variable,SV417: set_variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( ~ ~ ( member_variable @ SV126 @ SV417 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3929]) ).
thf(3935,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3930]) ).
thf(3936,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( ~ ~ ( member_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3930]) ).
thf(3937,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV412: set_variable,SV126: variable] :
( ( ( ~ ( member_variable @ SV126 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3931]) ).
thf(3938,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3933]) ).
thf(3939,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( ~ ~ ( member_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3933]) ).
thf(3940,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV417: set_variable,SV126: variable] :
( ( ( ~ ( member_variable @ SV126 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3934]) ).
thf(3941,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3935]) ).
thf(3942,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( ~ ( member_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3936]) ).
thf(3943,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV412: set_variable,SV126: variable] :
( ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3937]) ).
thf(3944,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3938]) ).
thf(3945,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( ~ ( member_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3939]) ).
thf(3946,plain,
! [SV322: set_variable,SV223: set_variable,SV288: variable,SV417: set_variable,SV126: variable] :
( ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( ~ ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) ) )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3940]) ).
thf(3947,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3941]) ).
thf(3948,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( member_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3942]) ).
thf(3949,plain,
! [SV412: set_variable,SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3943]) ).
thf(3950,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3944]) ).
thf(3951,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV126: variable] :
( ( ( member_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3945]) ).
thf(3952,plain,
! [SV417: set_variable,SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
| ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3946]) ).
thf(3953,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3947]) ).
thf(3954,plain,
! [SV223: set_variable,SV288: variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
!= ( insert_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3947]) ).
thf(3955,plain,
! [SV412: set_variable,SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3949]) ).
thf(3956,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3949]) ).
thf(3957,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3950]) ).
thf(3958,plain,
! [SV223: set_variable,SV288: variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
!= ( insert_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3950]) ).
thf(3959,plain,
! [SV417: set_variable,SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
!= ( insert_variable @ SV288 @ SV322 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3952]) ).
thf(3960,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3952]) ).
thf(3961,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3953]) ).
thf(3962,plain,
! [SV223: set_variable,SV288: variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
= ( insert_variable @ SV126 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3954]) ).
thf(3963,plain,
! [SV412: set_variable,SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3955]) ).
thf(3964,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3956]) ).
thf(3965,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3957]) ).
thf(3966,plain,
! [SV223: set_variable,SV288: variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
= ( insert_variable @ SV126 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3958]) ).
thf(3967,plain,
! [SV417: set_variable,SV322: set_variable,SV288: variable,SV223: set_variable,SV126: variable] :
( ( ( ( insert_variable @ SV126 @ SV223 )
= ( insert_variable @ SV288 @ SV322 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3959]) ).
thf(3968,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3960]) ).
thf(3969,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3961]) ).
thf(3970,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3964]) ).
thf(3971,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3965]) ).
thf(3972,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
| ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3968]) ).
thf(3973,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3969]) ).
thf(3974,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( ~ ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3969]) ).
thf(3975,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3970]) ).
thf(3976,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3970]) ).
thf(3977,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3971]) ).
thf(3978,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( ~ ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3971]) ).
thf(3979,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 )
| ( SV223 = SV322 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3972]) ).
thf(3980,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3972]) ).
thf(3981,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
= ( insert_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3973]) ).
thf(3982,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( ~ ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3974]) ).
thf(3983,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3975]) ).
thf(3984,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3976]) ).
thf(3985,plain,
! [SV322: set_variable,SV126: variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
= ( insert_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3977]) ).
thf(3986,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( ~ ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3978]) ).
thf(3987,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ( SV126 != SV288 )
| ( SV223 = SV322 ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3979]) ).
thf(3988,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) )
| ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3980]) ).
thf(3989,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( member_variable @ SV288 @ ( sK50_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3982]) ).
thf(3990,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $true )
| ( ( SV223 = SV322 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3983]) ).
thf(3991,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) ) )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3984]) ).
thf(3992,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV288: variable] :
( ( ( member_variable @ SV288 @ ( sK51_SY771 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $false )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3986]) ).
thf(3993,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $true )
| ( ( SV223 = SV322 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3987]) ).
thf(3994,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( ~ ( ( SV126 != SV288 ) ) )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3988]) ).
thf(3995,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $false )
| ( ( SV223 = SV322 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3990]) ).
thf(3996,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $false )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3991]) ).
thf(3997,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $false )
| ( ( SV223 = SV322 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3993]) ).
thf(3998,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 != SV288 )
= $false )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3994]) ).
thf(3999,plain,
! [SV412: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3996]) ).
thf(4000,plain,
! [SV417: set_variable,SV322: set_variable,SV223: set_variable,SV288: variable,SV126: variable] :
( ( ( SV126 = SV288 )
= $true )
| ( ( ~ ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3998]) ).
thf(4001,plain,
! [SV412: set_variable,SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3999]) ).
thf(4002,plain,
! [SV417: set_variable,SV126: variable,SV322: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ! [SY771: set_variable] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ SY771 ) )
| ~ ~ ( member_variable @ SV288 @ SY771 ) )
| ( SV322
!= ( insert_variable @ SV126 @ SY771 ) ) )
| ~ ~ ( member_variable @ SV126 @ SY771 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4000]) ).
thf(4003,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4001]) ).
thf(4004,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4002]) ).
thf(4005,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4003]) ).
thf(4006,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4004]) ).
thf(4007,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4005]) ).
thf(4008,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
| ~ ~ ( member_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4006]) ).
thf(4009,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4007]) ).
thf(4010,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV412: set_variable,SV126: variable] :
( ( ( ~ ~ ( member_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4007]) ).
thf(4011,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4008]) ).
thf(4012,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV417: set_variable,SV126: variable] :
( ( ( ~ ~ ( member_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4008]) ).
thf(4013,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4009]) ).
thf(4014,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV412: set_variable,SV126: variable] :
( ( ( ~ ( member_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4010]) ).
thf(4015,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4011]) ).
thf(4016,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV417: set_variable,SV126: variable] :
( ( ( ~ ( member_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4012]) ).
thf(4017,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4013]) ).
thf(4018,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV412: set_variable,SV126: variable] :
( ( ( member_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4014]) ).
thf(4019,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ( SV322
!= ( insert_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4015]) ).
thf(4020,plain,
! [SV223: set_variable,SV288: variable,SV322: set_variable,SV417: set_variable,SV126: variable] :
( ( ( member_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4016]) ).
thf(4021,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4017]) ).
thf(4022,plain,
! [SV223: set_variable,SV288: variable,SV412: set_variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
!= ( insert_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4017]) ).
thf(4023,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4019]) ).
thf(4024,plain,
! [SV223: set_variable,SV288: variable,SV417: set_variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
!= ( insert_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4019]) ).
thf(4025,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4021]) ).
thf(4026,plain,
! [SV223: set_variable,SV288: variable,SV412: set_variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
= ( insert_variable @ SV126 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4022]) ).
thf(4027,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ~ ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4023]) ).
thf(4028,plain,
! [SV223: set_variable,SV288: variable,SV417: set_variable,SV126: variable,SV322: set_variable] :
( ( ( SV322
= ( insert_variable @ SV126 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4024]) ).
thf(4029,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4025]) ).
thf(4030,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
| ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4027]) ).
thf(4031,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4029]) ).
thf(4032,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable] :
( ( ( ~ ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4029]) ).
thf(4033,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
!= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4030]) ).
thf(4034,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable] :
( ( ( ~ ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4030]) ).
thf(4035,plain,
! [SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
= ( insert_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4031]) ).
thf(4036,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable] :
( ( ( ~ ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4032]) ).
thf(4037,plain,
! [SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable,SV223: set_variable] :
( ( ( SV223
= ( insert_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4033]) ).
thf(4038,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable] :
( ( ( ~ ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) ) )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4034]) ).
thf(4039,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV412: set_variable,SV288: variable] :
( ( ( member_variable @ SV288 @ ( sK52_SY771 @ SV412 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV223 = SV322 )
= $false )
| ( ( SV322
= ( insert_variable @ SV126 @ SV412 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV412 ) )
= $false )
| ( ( member_variable @ SV288 @ SV412 )
= $true )
| ( ( member_variable @ SV126 @ SV412 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4036]) ).
thf(4040,plain,
! [SV223: set_variable,SV322: set_variable,SV126: variable,SV417: set_variable,SV288: variable] :
( ( ( member_variable @ SV288 @ ( sK53_SY771 @ SV417 @ SV126 @ SV322 @ SV288 @ SV223 ) )
= $false )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV126 = SV288 )
= $true )
| ( ( SV322
= ( insert_variable @ SV126 @ SV417 ) )
= $false )
| ( ( SV223
= ( insert_variable @ SV288 @ SV417 ) )
= $false )
| ( ( member_variable @ SV288 @ SV417 )
= $true )
| ( ( member_variable @ SV126 @ SV417 )
= $true )
| ( ( member_variable @ SV288 @ SV322 )
= $true )
| ( ( member_variable @ SV126 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4038]) ).
thf(4041,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[500,4040,4039,4037,4035,4028,4026,4020,4018,3997,3995,3992,3989,3985,3981,3967,3966,3963,3962,3951,3948,3932,3926,3910,3908,3907,3906,3905,3904,3903,3902,3901,3900,3895,3884,3883,3882,3881,3879,3876,3872,3852,3851,3850,3849,3848,3847,3846,3845,3838,3837,3836,3811,3809,3807,3799,3798,3797,3796,3795,3794,3793,3792,3791,3790,3789,3788,3787,3786,3785,3784,3783,3782,3781,3780,3779,3778,3777,3776,3775,3774,3773,3772,3771,3770,3769,3768,3765,3764,3763,3762,3759,3758,3757,3756,3738,3736,3735,3734,3733,3732,3731,3730,3729,3728,3727,3710,3709,3708,3707,3706,3705,3704,3703,3668,3667,3665,3659,3654,3653,3652,3651,3610,3609,3608,3607,3604,3603,3600,3599,3595,3593,3590,3580,3579,3548,3547,3546,3545,3541,3540,3539,3538,3537,3536,3535,3534,3530,3529,3528,3527,3514,3513,3512,3488,3463,3462,3461,3460,3459,3458,3457,3456,3451,3440,3431,3430,3429,3428,3420,3418,3406,3401,3398,3343,3328,3313,3312,3311,3310,3309,3308,3307,3306,3305,3298,3297,3296,3295,3294,3293,3292,3291,3283,3279,3278,3277,3276,3272,3268,3267,3266,3265,3253,3252,3188,3187,3178,3177,3176,3175,3164,3163,3159,3141,3140,3131,3115,3106,3097,3083,3066,3065,3055,3054,3042,3041,3040,3039,3038,3037,3036,3035,3034,3033,3032,3031,3030,3025,3019,3014,3010,3009,3008,3007,3006,3005,2981,2960,2959,2941,2940,2939,2938,2937,2936,2935,2934,2933,2932,2927,2926,2922,2918,2914,2903,2901,2899,2898,2897,2896,2885,2884,2868,2865,2863,2853,2851,2848,2847,2846,2845,2843,2841,2832,2831,2822,2821,2820,2819,2808,2807,2806,2805,2797,2796,2795,2794,2793,2792,2791,2790,2789,2788,2787,2786,2785,2784,2783,2782,2781,2780,2779,2778,2777,2776,2775,2774,2773,2772,2771,2770,2769,2768,2767,2766,2765,2764,2763,2762,2761,2760,2759,2758,2757,2756,2755,2754,2753,2752,2751,2750,2745,2732,2731,2721,2720,2719,2718,2712,2707,2700,2697,2694,2693,2692,2691,2689,2657,2651,2647,2646,2637,2634,2580,2549,2542,2541,2513,2505,2503,2499,2493,2490,2486,2484,2481,2480,2454,2450,2414,2399,2396,2395,2391,2389,2385,2384,2372,2369,2327,2326,2325,2324,2323,2301,2280,2275,2274,2269,2265,2264,2261,2260,2258,2257,2246,2243,2242,2241,2240,2236,2235,2228,2213,2211,2206,2205,2200,2199,2198,2197,2196,2195,2194,2182,2169,2158,2154,2152,2145,2127,2123,2109,2104,2103,2088,2085,2082,2080,2079,2075,2073,2072,2068,2065,2064,2055,2042,2031,2030,2017,2006,1997,1994,1979,1977,1976,1975,1974,1973,1972,1970,1968,1966,1964,1963,1962,1961,1960,1958,1956,1954,1952,1951,1950,1949,1948,1946,1944,1942,1940,1939,1938,1937,1936,1935,1934,1933,1932,1920,1912,1911,1910,1907,1906,1904,1903,1901,1898,1887,1885,1881,1879,1873,1869,1853,1846,1843,1840,1828,1822,1819,1817,1780,1779,1778,1777,1776,1775,1774,1773,1771,1767,1765,1764,1763,1762,1757,1756,1755,1754,1753,1752,1751,1750,1749,1748,1747,1746,1727,1721,1716,1697,1690,1689,1669,1659,1656,1630,1629,1628,1627,1626,1625,1624,1623,1622,1621,1620,1619,1618,1617,1616,1615,1614,1613,1612,1611,1595,1590,1589,1588,1587,1567,1562,1559,1549,1535,1506,1492,1433,1399,1397,1391,1380,1368,1309,1303,1299,1298,1294,1292,1284,1272,1270,1268,1258,1254,1221,1211,1209,1200,1197,1192,1186,1183,1173,1164,1161,1153,1146,1143,1140,1137,1136,1135,1128,1126,1120,1116,1113,1112,1111,1110,1109,1098,1089,1082,1071,1064,1062,1060,1050,1047,1031,1023,1019,1018,1016,1013,1009,1007,1005,1003,1001,999,998,996,995,994,993,991,990,989,987,985,984,983,978,977,976,925,908,906,904,902,899,898,894,893,889,886,878,875,873,863,861,860,859,858,856,855,854,852,850,824,805,784,769,764,762,761,760,759,758,757,754,751,747,745,744,742,738,737,730,726,724,717,716,715,705,704,703,702,623,620,607,582,527]) ).
thf(4042,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[4041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP199^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.22 % Computer : n005.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Oct 6 11:19:30 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 257.85/43.38 ..
% 257.85/43.38
% 257.85/43.38 No.of.Axioms: 139
% 257.85/43.38
% 257.85/43.38 Length.of.Defs: 0
% 257.85/43.38
% 257.85/43.38 Contains.Choice.Funs: false
% 257.85/43.38 ................................................................................................................................
% 257.85/43.38
% 257.85/43.38 ********************************
% 257.85/43.38 * All subproblems solved! *
% 257.85/43.38 ********************************
% 257.85/43.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:139,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:4041,loop_count:0,foatp_calls:1,translation:fof_full)
% 257.85/43.38
% 257.85/43.38 %**** Beginning of derivation protocol ****
% 257.85/43.38 % SZS output start CNFRefutation
% See solution above
% 43.20/43.43
% 43.20/43.43 %**** End of derivation protocol ****
% 43.20/43.43 %**** no. of clauses in derivation: 3825 ****
% 43.20/43.43 %**** clause counter: 4041 ****
% 43.20/43.43
% 43.20/43.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:139,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:4041,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------