TSTP Solution File: SWW470+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWW470+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:50:19 EDT 2022
% Result : Theorem 22.83s 23.01s
% Output : CNFRefutation 23.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 236
% Syntax : Number of formulae : 1426 ( 769 unt; 132 typ; 0 def)
% Number of atoms : 7915 (3471 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 26362 (2819 ~;2423 |; 142 &;20778 @)
% ( 40 <=>; 160 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 219 ( 219 >; 0 *; 0 +; 0 <<)
% Number of symbols : 135 ( 132 usr; 32 con; 0-6 aty)
% Number of variables : 4074 ( 0 ^4044 !; 30 ?;4074 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $i ).
thf(tp_bot_bo1687970473a_bool,type,
bot_bo1687970473a_bool: $i ).
thf(tp_bot_bot_bool,type,
bot_bot_bool: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_cOMBB_1348041619bool_a,type,
cOMBB_1348041619bool_a: $i > $i ).
thf(tp_cOMBB_1355796797bool_a,type,
cOMBB_1355796797bool_a: $i > $i ).
thf(tp_cOMBB_145932198bool_a,type,
cOMBB_145932198bool_a: $i > $i ).
thf(tp_cOMBB_160679318_state,type,
cOMBB_160679318_state: $i > $i ).
thf(tp_cOMBB_188601460_state,type,
cOMBB_188601460_state: $i > $i ).
thf(tp_cOMBB_545742339iple_a,type,
cOMBB_545742339iple_a: $i > $i ).
thf(tp_cOMBB_633860163iple_a,type,
cOMBB_633860163iple_a: $i > $i ).
thf(tp_cOMBB_650444389iple_a,type,
cOMBB_650444389iple_a: $i > $i ).
thf(tp_cOMBC_1089176504a_bool,type,
cOMBC_1089176504a_bool: $i ).
thf(tp_cOMBC_2027030106e_bool,type,
cOMBC_2027030106e_bool: $i ).
thf(tp_cOMBC_2049287834a_bool,type,
cOMBC_2049287834a_bool: $i ).
thf(tp_cOMBC_2067518550l_bool,type,
cOMBC_2067518550l_bool: $i ).
thf(tp_cOMBC_231445413l_bool,type,
cOMBC_231445413l_bool: $i ).
thf(tp_cOMBC_41962815e_bool,type,
cOMBC_41962815e_bool: $i ).
thf(tp_cOMBC_892787026e_bool,type,
cOMBC_892787026e_bool: $i ).
thf(tp_cOMBK_1150238960iple_a,type,
cOMBK_1150238960iple_a: $i > $i ).
thf(tp_cOMBK_1458035955bool_a,type,
cOMBK_1458035955bool_a: $i > $i ).
thf(tp_cOMBK_bool_state,type,
cOMBK_bool_state: $i > $i ).
thf(tp_cOMBS_1378840469l_bool,type,
cOMBS_1378840469l_bool: $i ).
thf(tp_cOMBS_213702372l_bool,type,
cOMBS_213702372l_bool: $i ).
thf(tp_collec1266446174iple_a,type,
collec1266446174iple_a: $i > $i ).
thf(tp_fFalse,type,
fFalse: $i ).
thf(tp_fNot,type,
fNot: $i ).
thf(tp_fTrue,type,
fTrue: $i ).
thf(tp_fconj,type,
fconj: $i ).
thf(tp_fdisj,type,
fdisj: $i ).
thf(tp_fequal1765155200a_bool,type,
fequal1765155200a_bool: $i ).
thf(tp_fequal1878252616iple_a,type,
fequal1878252616iple_a: $i ).
thf(tp_fequal_state,type,
fequal_state: $i ).
thf(tp_fimplies,type,
fimplies: $i ).
thf(tp_finite1734202118iple_a,type,
finite1734202118iple_a: $i > $i > $i > $i ).
thf(tp_finite1948426435iple_a,type,
finite1948426435iple_a: $i > $i > $i ).
thf(tp_finite233325225iple_a,type,
finite233325225iple_a: $i > $i ).
thf(tp_finite388748825iple_a,type,
finite388748825iple_a: $i > $i > $i ).
thf(tp_finite506133020iple_a,type,
finite506133020iple_a: $i ).
thf(tp_finite520909254iple_a,type,
finite520909254iple_a: $i > $i > $i ).
thf(tp_g,type,
g: $i ).
thf(tp_hAPP_H1816261935a_bool,type,
hAPP_H1816261935a_bool: $i > $i > $i ).
thf(tp_hAPP_H1877746411l_bool,type,
hAPP_H1877746411l_bool: $i > $i > $i ).
thf(tp_hAPP_H1926610125l_bool,type,
hAPP_H1926610125l_bool: $i > $i > $i ).
thf(tp_hAPP_H1927961489a_bool,type,
hAPP_H1927961489a_bool: $i > $i > $i ).
thf(tp_hAPP_H401672213iple_a,type,
hAPP_H401672213iple_a: $i > $i > $i ).
thf(tp_hAPP_H562195827a_bool,type,
hAPP_H562195827a_bool: $i > $i > $i ).
thf(tp_hAPP_H568064713iple_a,type,
hAPP_H568064713iple_a: $i > $i > $i ).
thf(tp_hAPP_a1200519163e_bool,type,
hAPP_a1200519163e_bool: $i > $i > $i ).
thf(tp_hAPP_a2036067514e_bool,type,
hAPP_a2036067514e_bool: $i > $i > $i ).
thf(tp_hAPP_a723219176e_bool,type,
hAPP_a723219176e_bool: $i > $i > $i ).
thf(tp_hAPP_a849909144l_bool,type,
hAPP_a849909144l_bool: $i > $i > $i ).
thf(tp_hAPP_b2019457360e_bool,type,
hAPP_b2019457360e_bool: $i > $i > $i ).
thf(tp_hAPP_b540892988e_bool,type,
hAPP_b540892988e_bool: $i > $i > $i ).
thf(tp_hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: $i > $i > $i ).
thf(tp_hAPP_bool_bool,type,
hAPP_bool_bool: $i > $i > $i ).
thf(tp_hAPP_f1104866853a_bool,type,
hAPP_f1104866853a_bool: $i > $i > $i ).
thf(tp_hAPP_f1170963427a_bool,type,
hAPP_f1170963427a_bool: $i > $i > $i ).
thf(tp_hAPP_f1259673775l_bool,type,
hAPP_f1259673775l_bool: $i > $i > $i ).
thf(tp_hAPP_f1261923407e_bool,type,
hAPP_f1261923407e_bool: $i > $i > $i ).
thf(tp_hAPP_f13210641l_bool,type,
hAPP_f13210641l_bool: $i > $i > $i ).
thf(tp_hAPP_f1400872321a_bool,type,
hAPP_f1400872321a_bool: $i > $i > $i ).
thf(tp_hAPP_f1447988451a_bool,type,
hAPP_f1447988451a_bool: $i > $i > $i ).
thf(tp_hAPP_f1509969235l_bool,type,
hAPP_f1509969235l_bool: $i > $i > $i ).
thf(tp_hAPP_f167292325e_bool,type,
hAPP_f167292325e_bool: $i > $i > $i ).
thf(tp_hAPP_f1753944735l_bool,type,
hAPP_f1753944735l_bool: $i > $i > $i ).
thf(tp_hAPP_f1759915619e_bool,type,
hAPP_f1759915619e_bool: $i > $i > $i ).
thf(tp_hAPP_f1824947087e_bool,type,
hAPP_f1824947087e_bool: $i > $i > $i ).
thf(tp_hAPP_f1826273671iple_a,type,
hAPP_f1826273671iple_a: $i > $i > $i ).
thf(tp_hAPP_f1874567875a_bool,type,
hAPP_f1874567875a_bool: $i > $i > $i ).
thf(tp_hAPP_f1915402821a_bool,type,
hAPP_f1915402821a_bool: $i > $i > $i ).
thf(tp_hAPP_f1945881407l_bool,type,
hAPP_f1945881407l_bool: $i > $i > $i ).
thf(tp_hAPP_f340725611e_bool,type,
hAPP_f340725611e_bool: $i > $i > $i ).
thf(tp_hAPP_f644196280e_bool,type,
hAPP_f644196280e_bool: $i > $i > $i ).
thf(tp_hAPP_f762886889e_bool,type,
hAPP_f762886889e_bool: $i > $i > $i ).
thf(tp_hAPP_f817621513e_bool,type,
hAPP_f817621513e_bool: $i > $i > $i ).
thf(tp_hAPP_f945663555a_bool,type,
hAPP_f945663555a_bool: $i > $i > $i ).
thf(tp_hAPP_f963367678e_bool,type,
hAPP_f963367678e_bool: $i > $i > $i ).
thf(tp_hAPP_s1806633685e_bool,type,
hAPP_s1806633685e_bool: $i > $i > $i ).
thf(tp_hAPP_s58564346l_bool,type,
hAPP_s58564346l_bool: $i > $i > $i ).
thf(tp_hAPP_state_bool,type,
hAPP_state_bool: $i > $i > $i ).
thf(tp_hBOOL,type,
hBOOL: $i > $o ).
thf(tp_hoare_1050552211iple_a,type,
hoare_1050552211iple_a: $i > $i > $i > $i ).
thf(tp_hoare_472868247rivs_a,type,
hoare_472868247rivs_a: $i > $i ).
thf(tp_insert1871499715iple_a,type,
insert1871499715iple_a: $i ).
thf(tp_is_bool,type,
is_bool: $i > $o ).
thf(tp_member564727580iple_a,type,
member564727580iple_a: $i ).
thf(tp_p,type,
p: $i ).
thf(tp_sK10_X1,type,
sK10_X1: $i > $i > $i ).
thf(tp_sK11_A_2,type,
sK11_A_2: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY273,type,
sK12_SY273: $i > $i > $i > $i > $i ).
thf(tp_sK13_Y_1,type,
sK13_Y_1: $i > $i > $i ).
thf(tp_sK14_Y_1,type,
sK14_Y_1: $i > $i > $i > $i ).
thf(tp_sK15_X_2,type,
sK15_X_2: $i > $i > $i ).
thf(tp_sK16_X_2,type,
sK16_X_2: $i > $i > $i ).
thf(tp_sK17_A_1,type,
sK17_A_1: $i > $i ).
thf(tp_sK18_SY274,type,
sK18_SY274: $i > $i ).
thf(tp_sK19_X_2,type,
sK19_X_2: $i > $i ).
thf(tp_sK1_X_2,type,
sK1_X_2: $i > $i > $i ).
thf(tp_sK20_SY275,type,
sK20_SY275: $i > $i ).
thf(tp_sK21_Z_1,type,
sK21_Z_1: $i > $i > $i > $i > $i ).
thf(tp_sK22_SY276,type,
sK22_SY276: $i > $i > $i > $i > $i ).
thf(tp_sK23_SY283,type,
sK23_SY283: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK24_Y_1,type,
sK24_Y_1: $i > $i ).
thf(tp_sK25_B,type,
sK25_B: $i > $i > $i ).
thf(tp_sK26_B,type,
sK26_B: $i > $i > $i ).
thf(tp_sK27_Fun1,type,
sK27_Fun1: $i > $i ).
thf(tp_sK28_SY286,type,
sK28_SY286: $i > $i ).
thf(tp_sK29_SY288,type,
sK29_SY288: $i > $i ).
thf(tp_sK2_SY268,type,
sK2_SY268: $i > $i > $i ).
thf(tp_sK30_X_2,type,
sK30_X_2: $i > $i ).
thf(tp_sK31_X_2,type,
sK31_X_2: $i > $i ).
thf(tp_sK32_X_2,type,
sK32_X_2: $i > $i ).
thf(tp_sK33_X_2,type,
sK33_X_2: $i > $i ).
thf(tp_sK34_Z_1,type,
sK34_Z_1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK35_SY289,type,
sK35_SY289: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK36_SY292,type,
sK36_SY292: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK37_Z_1,type,
sK37_Z_1: $i > $i > $i > $i > $i > $i ).
thf(tp_sK38_SY295,type,
sK38_SY295: $i > $i > $i > $i > $i > $i ).
thf(tp_sK39_Z_1,type,
sK39_Z_1: $i > $i > $i > $i > $i > $i ).
thf(tp_sK3_X_2,type,
sK3_X_2: $i > $i > $i ).
thf(tp_sK40_SY296,type,
sK40_SY296: $i > $i > $i > $i > $i > $i ).
thf(tp_sK4_A_2,type,
sK4_A_2: $i > $i > $i > $i ).
thf(tp_sK5_SY269,type,
sK5_SY269: $i > $i > $i > $i ).
thf(tp_sK6_SY271,type,
sK6_SY271: $i > $i > $i > $i ).
thf(tp_sK7_X1,type,
sK7_X1: $i > $i > $i > $i ).
thf(tp_sK8_X_2,type,
sK8_X_2: $i > $i > $i ).
thf(tp_sK9_SY272,type,
sK9_SY272: $i > $i > $i ).
thf(tp_semi,type,
semi: $i > $i > $i ).
thf(tp_skip,type,
skip: $i ).
thf(tp_the_Ho1745054714iple_a,type,
the_Ho1745054714iple_a: $i ).
thf(tp_the_el287271400iple_a,type,
the_el287271400iple_a: $i ).
thf(9,axiom,
! [P: $i,Q: $i,R: $i] :
( ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ P ) @ Q ) @ R )
= ( hAPP_f1759915619e_bool @ ( hAPP_a1200519163e_bool @ P @ R ) @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc) ).
thf(11,axiom,
! [P: $i,Q: $i,R: $i] :
( ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( cOMBB_650444389iple_a @ P ) @ Q ) @ R )
= ( hAPP_bool_bool @ P @ ( hAPP_H1927961489a_bool @ Q @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel) ).
thf(12,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ X ) @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).
thf(13,axiom,
! [X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ X ) @ Y ) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).
thf(15,axiom,
! [P: $i,Q: $i] :
( ( is_bool @ P )
=> ( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ P ) @ Q )
= P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__) ).
thf(22,axiom,
! [P: $i,Q: $i,R: $i] :
( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ P ) @ Q ) @ R )
= ( hAPP_bool_bool @ P @ ( hAPP_state_bool @ Q @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
thf(23,axiom,
! [P: $i,Q: $i] :
( ( hAPP_a2036067514e_bool @ ( cOMBK_1458035955bool_a @ P ) @ Q )
= P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
thf(24,axiom,
! [P: $i,Q: $i] :
( ( is_bool @ P )
=> ( ( hAPP_state_bool @ ( cOMBK_bool_state @ P ) @ Q )
= P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
thf(27,axiom,
! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) )
| ~ ( hBOOL @ P )
| ( hBOOL @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
thf(28,axiom,
! [P: $i,Q: $i] :
( ~ ( hBOOL @ Q )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
thf(29,axiom,
! [Q: $i,P: $i] :
( ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
thf(30,axiom,
! [P: $i] :
( ( is_bool @ P )
=> ( ( P = fTrue )
| ( P = fFalse ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
thf(31,axiom,
~ ( hBOOL @ fFalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
thf(32,axiom,
! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) )
| ( hBOOL @ P )
| ( hBOOL @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_3_1_U) ).
thf(33,axiom,
! [P: $i,Q: $i] :
( ~ ( hBOOL @ Q )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_2_1_U) ).
thf(34,axiom,
! [Q: $i,P: $i] :
( ~ ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_1_1_U) ).
thf(35,axiom,
! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ( hBOOL @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_3_1_U) ).
thf(36,axiom,
! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ( hBOOL @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_2_1_U) ).
thf(37,axiom,
! [Q: $i,P: $i] :
( ~ ( hBOOL @ P )
| ~ ( hBOOL @ Q )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_1_1_U) ).
thf(38,axiom,
! [P: $i] :
( ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fNot_2_1_U) ).
thf(39,axiom,
! [P: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
| ~ ( hBOOL @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fNot_1_1_U) ).
thf(42,axiom,
! [Pa: $i,F: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F ) )
=> ( ( F != bot_bo1687970473a_bool )
=> ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ bot_bo1687970473a_bool ) ) )
=> ( ! [X_2: $i,F_2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F_2 ) )
=> ( ( F_2 != bot_bo1687970473a_bool )
=> ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ F_2 ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F_2 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ F_2 ) ) ) ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_finite__ne__induct) ).
thf(45,axiom,
! [F_1: $i,A1: $i,A2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A1 ) @ A2 ) )
<=> ? [A_2: $i,A_1: $i,X_2: $i] :
( ( A1
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
& ( A2 = X_2 )
& ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_2 @ A_1 ) @ X_2 ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_2 ) @ A_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_fold1Set_Osimps) ).
thf(46,axiom,
! [F_1: $i,Z: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
=> ? [X1: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ A ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_finite__imp__fold__graph) ).
thf(47,axiom,
! [A_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) )
<=> ( ( A_3 = bot_bo1687970473a_bool )
| ? [A_1: $i,A_2: $i] :
( ( A_3
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
& ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_finite_Osimps) ).
thf(48,axiom,
! [Pa: $i,F: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ bot_bo1687970473a_bool ) )
=> ( ! [X_2: $i,F_2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F_2 ) )
=> ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ F_2 ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F_2 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ F_2 ) ) ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_finite__induct) ).
thf(49,axiom,
! [F_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
=> ( ( A != bot_bo1687970473a_bool )
=> ? [X1: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A ) @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_finite__nonempty__imp__fold1Set) ).
thf(50,axiom,
! [F_1: $i,A_3: $i,X_3: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ X_3 ) ) @ X_1 ) )
=> ~ ! [A_2: $i,A_1: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ X_3 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_2 @ A_1 ) @ X_1 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_2 ) @ A_1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_insert__fold1SetE) ).
thf(52,axiom,
! [F_1: $i,A_3: $i] :
( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) )
= A_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_fold1__singleton) ).
thf(53,axiom,
! [A_3: $i,G: $i,F_1: $i] :
( ( G
= ( finite233325225iple_a @ F_1 ) )
=> ( ( hAPP_f1826273671iple_a @ G @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) )
= A_3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_fold1__singleton__def) ).
thf(54,axiom,
! [A_3: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) )
<=> ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_finite__insert) ).
thf(57,axiom,
! [F_1: $i,Z: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ bot_bo1687970473a_bool ) @ X_1 ) )
=> ( X_1 = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_empty__fold__graphE) ).
thf(58,axiom,
! [F_1: $i,Z: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ bot_bo1687970473a_bool ) @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_fold__graph_OemptyI) ).
thf(59,axiom,
! [A: $i,F_1: $i,F: $i] :
( ( hBOOL @ ( finite520909254iple_a @ F_1 @ F ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
=> ( ( hAPP_f1826273671iple_a @ F @ A )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_folding__one_Oeq__fold) ).
thf(60,axiom,
! [Pa: $i] :
( ( collec1266446174iple_a @ Pa )
= Pa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_Collect__def) ).
thf(61,axiom,
! [X_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
<=> ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_mem__def) ).
thf(62,axiom,
! [A_3: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_finite_OinsertI) ).
thf(63,axiom,
hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ bot_bo1687970473a_bool ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_finite_OemptyI) ).
thf(65,axiom,
! [F_1: $i,A: $i] :
( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ A )
= ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ ( finite388748825iple_a @ F_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_fold1__def) ).
thf(67,axiom,
! [F_1: $i,A_3: $i,A: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_3 @ A ) @ X_1 ) )
=> ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
=> ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) @ X_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_fold1Set_Ointros) ).
thf(68,axiom,
! [F_1: $i,A: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A ) @ X_1 ) )
=> ( A != bot_bo1687970473a_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_fold1Set__nonempty) ).
thf(69,axiom,
! [F_1: $i,X_1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ bot_bo1687970473a_bool ) @ X_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_empty__fold1SetE) ).
thf(70,axiom,
! [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) )
<=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ bot_bo1687970473a_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_bot__empty__eq) ).
thf(71,axiom,
! [X_1: $i,F_1: $i,F: $i] :
( ( hBOOL @ ( finite520909254iple_a @ F_1 @ F ) )
=> ( ( hAPP_f1826273671iple_a @ F @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ bot_bo1687970473a_bool ) )
= X_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_folding__one_Osingleton) ).
thf(72,axiom,
! [F_1: $i,A_3: $i,Ba: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) @ Ba ) )
<=> ( A_3 = Ba ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_fold1Set__sing) ).
thf(73,axiom,
! [A: $i] :
( ( A != bot_bo1687970473a_bool )
<=> ? [X_2: $i,B: $i] :
( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ B ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_nonempty__iff) ).
thf(74,axiom,
! [Q_1: $i,Ga: $i,Ca: $i,Pa: $i] :
( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_1 ) @ S ) )
=> ? [P_1: $i,Q_2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_1 @ Ca @ Q_2 ) ) @ bot_bo1687970473a_bool ) ) )
& ! [S_1: $i] :
( ! [Z_2: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_1 @ Z_2 ) @ S ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_2 @ Z_2 ) @ S_1 ) ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ Z_1 ) @ S_1 ) ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_conseq) ).
thf(75,axiom,
! [Pa: $i] :
( ? [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) )
& ! [Y_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ Y_1 ) )
=> ( Y_1 = X_2 ) ) )
=> ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_theI_H) ).
thf(76,axiom,
! [A_3: $i,Pa: $i] :
( ? [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) )
& ! [Y_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ Y_1 ) )
=> ( Y_1 = X_2 ) ) )
=> ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
=> ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa )
= A_3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_the1__equality) ).
thf(77,axiom,
! [Pa: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
=> ( ! [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) )
=> ( X_2 = A_3 ) )
=> ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_theI) ).
thf(78,axiom,
! [Pa: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
=> ( ! [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) )
=> ( X_2 = A_3 ) )
=> ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa )
= A_3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_the__equality) ).
thf(79,axiom,
! [A: $i] :
( ! [Y_1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Y_1 ) @ A ) )
=> ( A = bot_bo1687970473a_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_equals0I) ).
thf(83,axiom,
! [Com1_1: $i,Com2_1: $i,Com1: $i,Com2: $i] :
( ( ( semi @ Com1_1 @ Com2_1 )
= ( semi @ Com1 @ Com2 ) )
<=> ( ( Com1_1 = Com1 )
& ( Com2_1 = Com2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_com_Osimps_I3_J) ).
thf(84,axiom,
! [A_3: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
=> ? [B: $i] :
( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ B ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_mk__disjoint__insert) ).
thf(86,axiom,
! [Com1_2: $i,Com2_2: $i] :
( skip
!= ( semi @ Com1_2 @ Com2_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_com_Osimps_I12_J) ).
thf(87,axiom,
! [Com1_2: $i,Com2_2: $i] :
( ( semi @ Com1_2 @ Com2_2 )
!= skip ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_com_Osimps_I13_J) ).
thf(88,axiom,
! [X_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
=> ~ ! [B: $i] :
( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ B ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_Set_Oset__insert) ).
thf(89,axiom,
! [Y_2: $i] :
~ ! [Fun1: $i,Com: $i,Fun2: $i] :
( Y_2
!= ( hoare_1050552211iple_a @ Fun1 @ Com @ Fun2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_triple_Oexhaust) ).
thf(90,axiom,
! [D: $i,R_1: $i,Ga: $i,Pa: $i,Ca: $i,Q_1: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Q_1 @ D @ R_1 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ ( semi @ Ca @ D ) @ R_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_Comp) ).
thf(91,axiom,
! [Ga: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ skip @ Pa ) ) @ bot_bo1687970473a_bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_hoare__derivs_OSkip) ).
thf(92,axiom,
! [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) )
<=> ( hBOOL @ bot_bot_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_bot__fun__def) ).
thf(93,axiom,
! [X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_1 ) )
<=> ( hBOOL @ bot_bot_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_bot__apply) ).
thf(94,axiom,
! [X_1: $i] :
( ( hAPP_f1826273671iple_a @ the_el287271400iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ bot_bo1687970473a_bool ) )
= X_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_the__elem__eq) ).
thf(95,axiom,
! [A_3: $i,A: $i] :
( bot_bo1687970473a_bool
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_empty__not__insert) ).
thf(96,axiom,
! [A_3: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A )
!= bot_bo1687970473a_bool ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_insert__not__empty) ).
thf(97,axiom,
! [Ba: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
<=> ( Ba = A_3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_singleton__iff) ).
thf(98,axiom,
! [A_3: $i,Ba: $i,Ca: $i,D: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
<=> ( ( ( A_3 = Ca )
& ( Ba = D ) )
| ( ( A_3 = D )
& ( Ba = Ca ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_doubleton__eq__iff) ).
thf(99,axiom,
! [Ba: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
=> ( Ba = A_3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_singletonE) ).
thf(100,axiom,
! [A_3: $i,Ba: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
=> ( A_3 = Ba ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_singleton__inject) ).
thf(102,axiom,
! [A_3: $i,B_1: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ B_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_insertI1) ).
thf(105,axiom,
! [X_1: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_insert__absorb2) ).
thf(106,axiom,
! [X_1: $i,Y_2: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_insert__commute) ).
thf(107,axiom,
! [A_3: $i,Ba: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) )
<=> ( ( A_3 = Ba )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_insert__iff) ).
thf(108,axiom,
! [Y_2: $i,A: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) @ X_1 ) )
<=> ( ( Y_2 = X_1 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_insert__code) ).
thf(109,axiom,
! [B_1: $i,X_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
=> ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ B_1 ) )
=> ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ B_1 ) )
<=> ( A = B_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_insert__ident) ).
thf(110,axiom,
! [Ba: $i,A_3: $i,B_1: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B_1 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_insertI2) ).
thf(111,axiom,
! [A_3: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
=> ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_insert__absorb) ).
thf(112,axiom,
( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ ( cOMBK_1150238960iple_a @ fFalse ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_empty__def) ).
thf(113,axiom,
! [A: $i] :
( ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ A ) )
<=> ( A = bot_bo1687970473a_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_all__not__in__conv) ).
thf(114,axiom,
! [A: $i] :
( ? [X_2: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ A ) )
<=> ( A != bot_bo1687970473a_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_ex__in__conv) ).
thf(115,axiom,
! [Pa: $i] :
( ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ Pa ) )
<=> ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_empty__Collect__eq) ).
thf(116,axiom,
! [Ca: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ca ) @ bot_bo1687970473a_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_empty__iff) ).
thf(117,axiom,
! [Pa: $i] :
( ( ( collec1266446174iple_a @ Pa )
= bot_bo1687970473a_bool )
<=> ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_Collect__empty__eq) ).
thf(118,axiom,
! [A_3: $i,A: $i] :
( ( A = bot_bo1687970473a_bool )
=> ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_equals0D) ).
thf(123,axiom,
! [A_3: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_emptyE) ).
thf(124,axiom,
! [Ba: $i,A_3: $i,B_1: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B_1 ) )
=> ( A_3 = Ba ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_insertCI) ).
thf(125,axiom,
! [A_3: $i,Ba: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) )
=> ( ( A_3 != Ba )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_insertE) ).
thf(126,axiom,
! [Q_1: $i,Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_2 @ Ca @ Q_3 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_1 ) @ S ) )
=> ! [S_1: $i] :
( ! [Z_2: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ Z_2 ) @ S ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_3 @ Z_2 ) @ S_1 ) ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ Z_1 ) @ S_1 ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_conseq12) ).
thf(127,axiom,
! [Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_1: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_2 @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_1 ) @ S ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ Z_1 ) @ S ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_conseq1) ).
thf(128,axiom,
! [Q_1: $i,Ga: $i,Pa: $i,Ca: $i,Q_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_3 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_3 @ Z_1 ) @ S ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ Z_1 ) @ S ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_conseq2) ).
thf(131,axiom,
! [Ts: $i,Ga: $i,T: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ T ) @ bot_bo1687970473a_bool ) ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ T ) @ Ts ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_hoare__derivs_Oinsert) ).
thf(132,axiom,
! [Ga: $i,G_1: $i,Ts: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ G_1 ) @ Ts ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ G_1 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_cut) ).
thf(133,axiom,
! [Fun1_2: $i,Com_2: $i,Fun2_2: $i,Fun1_1: $i,Com_1: $i,Fun2_1: $i] :
( ( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) )
<=> ( ( Fun1_2 = Fun1_1 )
& ( Com_2 = Com_1 )
& ( Fun2_2 = Fun2_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_triple_Oinject) ).
thf(134,axiom,
! [Ga: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ bot_bo1687970473a_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
thf(135,axiom,
! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_H1927961489a_bool @ B_1_1 @ B_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_000tc__HOL__) ).
thf(136,axiom,
! [B_1_1: $i,B_2: $i] :
( ( is_bool @ B_2 )
=> ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
thf(137,axiom,
! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_state_bool @ B_1_1 @ B_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool) ).
thf(138,axiom,
is_bool @ fTrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fTrue) ).
thf(139,axiom,
is_bool @ bot_bot_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).
thf(140,axiom,
! [B_1_1: $i,B_2: $i] : ( is_bool @ ( finite1948426435iple_a @ B_1_1 @ B_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____jfehddehev__O) ).
thf(141,axiom,
! [B_1_1: $i,B_2: $i] : ( is_bool @ ( finite520909254iple_a @ B_1_1 @ B_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____jfehddehev__Otriple) ).
thf(142,axiom,
! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_f1753944735l_bool @ B_1_1 @ B_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc) ).
thf(143,axiom,
is_bool @ fFalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fFalse) ).
thf(144,conjecture,
hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(145,negated_conjecture,
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[144]) ).
thf(146,plain,
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ) )
= $false ),
inference(unfold_def,[status(thm)],[145]) ).
thf(147,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( cOMBB_650444389iple_a @ P ) @ Q ) @ R )
= ( hAPP_bool_bool @ P @ ( hAPP_H1927961489a_bool @ Q @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(148,plain,
( ( ! [P: $i,Q: $i] :
( ( is_bool @ P )
=> ( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ P ) @ Q )
= P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(149,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) )
| ~ ( hBOOL @ P )
| ( hBOOL @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(150,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ Q )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(151,plain,
( ( ! [Q: $i,P: $i] :
( ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(152,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) )
| ( hBOOL @ P )
| ( hBOOL @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(153,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ Q )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(154,plain,
( ( ! [Q: $i,P: $i] :
( ~ ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(155,plain,
( ( ! [Pa: $i,F: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F ) )
=> ( ( F != bot_bo1687970473a_bool )
=> ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ bot_bo1687970473a_bool ) ) )
=> ( ! [X_2: $i,F_2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F_2 ) )
=> ( ( F_2 != bot_bo1687970473a_bool )
=> ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ F_2 ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F_2 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ F_2 ) ) ) ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(156,plain,
( ( ! [F_1: $i,A1: $i,A2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A1 ) @ A2 ) )
<=> ? [A_2: $i,A_1: $i,X_2: $i] :
( ( A1
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
& ( A2 = X_2 )
& ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_2 @ A_1 ) @ X_2 ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_2 ) @ A_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(157,plain,
( ( ! [F_1: $i,Z: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
=> ? [X1: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ A ) @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(158,plain,
( ( ! [Pa: $i,F: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ bot_bo1687970473a_bool ) )
=> ( ! [X_2: $i,F_2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F_2 ) )
=> ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ F_2 ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F_2 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ F_2 ) ) ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(159,plain,
( ( ! [F_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
=> ( ( A != bot_bo1687970473a_bool )
=> ? [X1: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A ) @ X1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(160,plain,
( ( ! [F_1: $i,A_3: $i,X_3: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ X_3 ) ) @ X_1 ) )
=> ~ ! [A_2: $i,A_1: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ X_3 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_2 @ A_1 ) @ X_1 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_2 ) @ A_1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(161,plain,
( ( ! [A: $i,F_1: $i,F: $i] :
( ( hBOOL @ ( finite520909254iple_a @ F_1 @ F ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
=> ( ( hAPP_f1826273671iple_a @ F @ A )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(162,plain,
( ( ! [Pa: $i] :
( ( collec1266446174iple_a @ Pa )
= Pa ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(163,plain,
( ( ! [X_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
<=> ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(164,plain,
( ( ! [F_1: $i,A: $i] :
( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ A )
= ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ ( finite388748825iple_a @ F_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(165,plain,
( ( ! [F_1: $i,A_3: $i,A: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_3 @ A ) @ X_1 ) )
=> ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
=> ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) @ X_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(166,plain,
( ( ! [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) )
<=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(167,plain,
( ( ! [Pa: $i] :
( ? [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) )
& ! [Y_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ Y_1 ) )
=> ( Y_1 = X_2 ) ) )
=> ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(168,plain,
( ( ! [A_3: $i,Pa: $i] :
( ? [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) )
& ! [Y_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ Y_1 ) )
=> ( Y_1 = X_2 ) ) )
=> ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
=> ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa )
= A_3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(169,plain,
( ( ! [Pa: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
=> ( ! [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) )
=> ( X_2 = A_3 ) )
=> ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(170,plain,
( ( ! [Pa: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
=> ( ! [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) )
=> ( X_2 = A_3 ) )
=> ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa )
= A_3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(171,plain,
( ( ! [Com1_1: $i,Com2_1: $i,Com1: $i,Com2: $i] :
( ( ( semi @ Com1_1 @ Com2_1 )
= ( semi @ Com1 @ Com2 ) )
<=> ( ( Com1_1 = Com1 )
& ( Com2_1 = Com2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(172,plain,
( ( ! [Com1_2: $i,Com2_2: $i] :
( skip
!= ( semi @ Com1_2 @ Com2_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(173,plain,
( ( ! [Com1_2: $i,Com2_2: $i] :
( ( semi @ Com1_2 @ Com2_2 )
!= skip ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(174,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_H1927961489a_bool @ B_1_1 @ B_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(175,plain,
( ( ! [B_1_1: $i,B_2: $i] :
( ( is_bool @ B_2 )
=> ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(176,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_state_bool @ B_1_1 @ B_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(177,plain,
( ( is_bool @ fTrue )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(178,plain,
( ( is_bool @ bot_bot_bool )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(179,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( finite1948426435iple_a @ B_1_1 @ B_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(180,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( finite520909254iple_a @ B_1_1 @ B_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(181,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ P ) @ Q ) @ R )
= ( hAPP_f1759915619e_bool @ ( hAPP_a1200519163e_bool @ P @ R ) @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(182,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ X ) @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(183,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ X ) @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(184,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ P ) @ Q ) @ R )
= ( hAPP_bool_bool @ P @ ( hAPP_state_bool @ Q @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(185,plain,
( ( ! [P: $i,Q: $i] :
( ( hAPP_a2036067514e_bool @ ( cOMBK_1458035955bool_a @ P ) @ Q )
= P ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(186,plain,
( ( ! [P: $i,Q: $i] :
( ( is_bool @ P )
=> ( ( hAPP_state_bool @ ( cOMBK_bool_state @ P ) @ Q )
= P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(187,plain,
( ( ! [P: $i] :
( ( is_bool @ P )
=> ( ( P = fTrue )
| ( P = fFalse ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(188,plain,
( ( ~ ( hBOOL @ fFalse ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(189,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ( hBOOL @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(190,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ( hBOOL @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(191,plain,
( ( ! [Q: $i,P: $i] :
( ~ ( hBOOL @ P )
| ~ ( hBOOL @ Q )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(192,plain,
( ( ! [P: $i] :
( ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(193,plain,
( ( ! [P: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
| ~ ( hBOOL @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(194,plain,
( ( ! [A_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) )
<=> ( ( A_3 = bot_bo1687970473a_bool )
| ? [A_1: $i,A_2: $i] :
( ( A_3
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
& ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(195,plain,
( ( ! [F_1: $i,A_3: $i] :
( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) )
= A_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(196,plain,
( ( ! [A_3: $i,G: $i,F_1: $i] :
( ( G
= ( finite233325225iple_a @ F_1 ) )
=> ( ( hAPP_f1826273671iple_a @ G @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) )
= A_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(197,plain,
( ( ! [A_3: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) )
<=> ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(198,plain,
( ( ! [F_1: $i,Z: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ bot_bo1687970473a_bool ) @ X_1 ) )
=> ( X_1 = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(199,plain,
( ( ! [F_1: $i,Z: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ bot_bo1687970473a_bool ) @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(200,plain,
( ( ! [A_3: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(201,plain,
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ bot_bo1687970473a_bool ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(202,plain,
( ( ! [F_1: $i,A: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A ) @ X_1 ) )
=> ( A != bot_bo1687970473a_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(203,plain,
( ( ! [F_1: $i,X_1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ bot_bo1687970473a_bool ) @ X_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(204,plain,
( ( ! [X_1: $i,F_1: $i,F: $i] :
( ( hBOOL @ ( finite520909254iple_a @ F_1 @ F ) )
=> ( ( hAPP_f1826273671iple_a @ F @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ bot_bo1687970473a_bool ) )
= X_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(205,plain,
( ( ! [F_1: $i,A_3: $i,Ba: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) @ Ba ) )
<=> ( A_3 = Ba ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(206,plain,
( ( ! [A: $i] :
( ( A != bot_bo1687970473a_bool )
<=> ? [X_2: $i,B: $i] :
( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ B ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(207,plain,
( ( ! [Q_1: $i,Ga: $i,Ca: $i,Pa: $i] :
( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_1 ) @ S ) )
=> ? [P_1: $i,Q_2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_1 @ Ca @ Q_2 ) ) @ bot_bo1687970473a_bool ) ) )
& ! [S_1: $i] :
( ! [Z_2: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_1 @ Z_2 ) @ S ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_2 @ Z_2 ) @ S_1 ) ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ Z_1 ) @ S_1 ) ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(208,plain,
( ( ! [A: $i] :
( ! [Y_1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Y_1 ) @ A ) )
=> ( A = bot_bo1687970473a_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(209,plain,
( ( ! [A_3: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
=> ? [B: $i] :
( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ B ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(210,plain,
( ( ! [X_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
=> ~ ! [B: $i] :
( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ B ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(211,plain,
( ( ! [Y_2: $i] :
~ ! [Fun1: $i,Com: $i,Fun2: $i] :
( Y_2
!= ( hoare_1050552211iple_a @ Fun1 @ Com @ Fun2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(212,plain,
( ( ! [D: $i,R_1: $i,Ga: $i,Pa: $i,Ca: $i,Q_1: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Q_1 @ D @ R_1 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ ( semi @ Ca @ D ) @ R_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(213,plain,
( ( ! [Ga: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ skip @ Pa ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(214,plain,
( ( ! [X_2: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) )
<=> ( hBOOL @ bot_bot_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(215,plain,
( ( ! [X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_1 ) )
<=> ( hBOOL @ bot_bot_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(216,plain,
( ( ! [X_1: $i] :
( ( hAPP_f1826273671iple_a @ the_el287271400iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ bot_bo1687970473a_bool ) )
= X_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(217,plain,
( ( ! [A_3: $i,A: $i] :
( bot_bo1687970473a_bool
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(218,plain,
( ( ! [A_3: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A )
!= bot_bo1687970473a_bool ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(219,plain,
( ( ! [Ba: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
<=> ( Ba = A_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(220,plain,
( ( ! [A_3: $i,Ba: $i,Ca: $i,D: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
<=> ( ( ( A_3 = Ca )
& ( Ba = D ) )
| ( ( A_3 = D )
& ( Ba = Ca ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(221,plain,
( ( ! [Ba: $i,A_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
=> ( Ba = A_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(222,plain,
( ( ! [A_3: $i,Ba: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
=> ( A_3 = Ba ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(223,plain,
( ( ! [A_3: $i,B_1: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ B_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(224,plain,
( ( ! [X_1: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(225,plain,
( ( ! [X_1: $i,Y_2: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(226,plain,
( ( ! [A_3: $i,Ba: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) )
<=> ( ( A_3 = Ba )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(227,plain,
( ( ! [Y_2: $i,A: $i,X_1: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) @ X_1 ) )
<=> ( ( Y_2 = X_1 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(228,plain,
( ( ! [B_1: $i,X_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
=> ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ B_1 ) )
=> ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ B_1 ) )
<=> ( A = B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(229,plain,
( ( ! [Ba: $i,A_3: $i,B_1: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B_1 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(230,plain,
( ( ! [A_3: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
=> ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(231,plain,
( ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ ( cOMBK_1150238960iple_a @ fFalse ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(232,plain,
( ( ! [A: $i] :
( ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ A ) )
<=> ( A = bot_bo1687970473a_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(233,plain,
( ( ! [A: $i] :
( ? [X_2: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ A ) )
<=> ( A != bot_bo1687970473a_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(234,plain,
( ( ! [Pa: $i] :
( ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ Pa ) )
<=> ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(235,plain,
( ( ! [Ca: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ca ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(236,plain,
( ( ! [Pa: $i] :
( ( ( collec1266446174iple_a @ Pa )
= bot_bo1687970473a_bool )
<=> ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(237,plain,
( ( ! [A_3: $i,A: $i] :
( ( A = bot_bo1687970473a_bool )
=> ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(238,plain,
( ( ! [A_3: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(239,plain,
( ( ! [Ba: $i,A_3: $i,B_1: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B_1 ) )
=> ( A_3 = Ba ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(240,plain,
( ( ! [A_3: $i,Ba: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) )
=> ( ( A_3 != Ba )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(241,plain,
( ( ! [Q_1: $i,Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_2 @ Ca @ Q_3 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_1 ) @ S ) )
=> ! [S_1: $i] :
( ! [Z_2: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ Z_2 ) @ S ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_3 @ Z_2 ) @ S_1 ) ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ Z_1 ) @ S_1 ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(242,plain,
( ( ! [Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_1: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_2 @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_1 ) @ S ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ Z_1 ) @ S ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(243,plain,
( ( ! [Q_1: $i,Ga: $i,Pa: $i,Ca: $i,Q_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_3 ) ) @ bot_bo1687970473a_bool ) ) )
=> ( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_3 @ Z_1 ) @ S ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ Z_1 ) @ S ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(244,plain,
( ( ! [Ts: $i,Ga: $i,T: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ T ) @ bot_bo1687970473a_bool ) ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ T ) @ Ts ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(245,plain,
( ( ! [Ga: $i,G_1: $i,Ts: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ G_1 ) @ Ts ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ G_1 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(246,plain,
( ( ! [Fun1_2: $i,Com_2: $i,Fun2_2: $i,Fun1_1: $i,Com_1: $i,Fun2_1: $i] :
( ( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) )
<=> ( ( Fun1_2 = Fun1_1 )
& ( Com_2 = Com_1 )
& ( Fun2_2 = Fun2_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(247,plain,
( ( ! [Ga: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(248,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_f1753944735l_bool @ B_1_1 @ B_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(249,plain,
( ( is_bool @ fFalse )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(250,plain,
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[146]) ).
thf(251,plain,
( ( ! [P: $i] :
( ~ ( is_bool @ P )
| ! [Q: $i] :
( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ P ) @ Q )
= P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[148]) ).
thf(252,plain,
( ( ! [P: $i,Q: $i] :
( ( hBOOL @ Q )
| ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) )
| ~ ( hBOOL @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[149]) ).
thf(253,plain,
( ( ! [P: $i,Q: $i] :
( ( hBOOL @ Q )
| ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) )
| ( hBOOL @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[152]) ).
thf(254,plain,
( ( ! [Pa: $i,F: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F ) )
| ( F = bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ F @ Pa ) ) @ bot_bo1687970473a_bool ) ) )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ F @ Pa ) ) )
& ( ( sK2_SY268 @ F @ Pa )
!= bot_bo1687970473a_bool )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ F @ Pa ) ) @ ( sK2_SY268 @ F @ Pa ) ) )
& ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( sK2_SY268 @ F @ Pa ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ F @ Pa ) ) @ ( sK2_SY268 @ F @ Pa ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[155]) ).
thf(255,plain,
( ( ! [F_1: $i] :
( ! [A1: $i,A2: $i] :
( ! [A_2: $i,A_1: $i] :
( ! [X_2: $i] :
( ( A1
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
| ( A2 != X_2 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_2 @ A_1 ) @ X_2 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_2 ) @ A_1 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A1 ) @ A2 ) ) )
& ! [A1: $i,A2: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A1 ) @ A2 ) )
| ( ( A1
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ A2 @ A1 @ F_1 ) ) @ ( sK5_SY269 @ A2 @ A1 @ F_1 ) ) )
& ( A2
= ( sK6_SY271 @ A2 @ A1 @ F_1 ) )
& ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ ( sK4_A_2 @ A2 @ A1 @ F_1 ) @ ( sK5_SY269 @ A2 @ A1 @ F_1 ) ) @ ( sK6_SY271 @ A2 @ A1 @ F_1 ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ A2 @ A1 @ F_1 ) ) @ ( sK5_SY269 @ A2 @ A1 @ F_1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[156]) ).
thf(256,plain,
( ( ! [F_1: $i,Z: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ A ) @ ( sK7_X1 @ A @ Z @ F_1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[157]) ).
thf(257,plain,
( ( ! [Pa: $i,F: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ bot_bo1687970473a_bool ) )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ F @ Pa ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ F @ Pa ) ) @ ( sK9_SY272 @ F @ Pa ) ) )
& ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( sK9_SY272 @ F @ Pa ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ F @ Pa ) ) @ ( sK9_SY272 @ F @ Pa ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[158]) ).
thf(258,plain,
( ( ! [F_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( A = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A ) @ ( sK10_X1 @ A @ F_1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[159]) ).
thf(259,plain,
( ( ! [F_1: $i,A_3: $i,X_3: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ X_3 ) ) @ X_1 ) )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ X_3 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ X_1 @ X_3 @ A_3 @ F_1 ) ) @ ( sK12_SY273 @ X_1 @ X_3 @ A_3 @ F_1 ) ) )
& ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ ( sK11_A_2 @ X_1 @ X_3 @ A_3 @ F_1 ) @ ( sK12_SY273 @ X_1 @ X_3 @ A_3 @ F_1 ) ) @ X_1 ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ X_1 @ X_3 @ A_3 @ F_1 ) ) @ ( sK12_SY273 @ X_1 @ X_3 @ A_3 @ F_1 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[160]) ).
thf(260,plain,
( ( ! [A: $i,F_1: $i,F: $i] :
( ~ ( hBOOL @ ( finite520909254iple_a @ F_1 @ F ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( ( hAPP_f1826273671iple_a @ F @ A )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[161]) ).
thf(261,plain,
( ( ! [X_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) ) )
& ! [X_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(262,plain,
( ( ! [F_1: $i,A_3: $i,A: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_3 @ A ) @ X_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) @ X_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[165]) ).
thf(263,plain,
( ( ! [X_2: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ bot_bo1687970473a_bool ) ) )
& ! [X_2: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ bot_bo1687970473a_bool ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[166]) ).
thf(264,plain,
( ( ! [Pa: $i] :
( ! [X_2: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK13_Y_1 @ X_2 @ Pa ) ) )
& ( ( sK13_Y_1 @ X_2 @ Pa )
!= X_2 ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[167]) ).
thf(265,plain,
( ( ! [A_3: $i,Pa: $i] :
( ! [X_2: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK14_Y_1 @ X_2 @ Pa @ A_3 ) ) )
& ( ( sK14_Y_1 @ X_2 @ Pa @ A_3 )
!= X_2 ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa )
= A_3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[168]) ).
thf(266,plain,
( ( ! [Pa: $i,A_3: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK15_X_2 @ A_3 @ Pa ) ) )
& ( ( sK15_X_2 @ A_3 @ Pa )
!= A_3 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[169]) ).
thf(267,plain,
( ( ! [Pa: $i,A_3: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK16_X_2 @ A_3 @ Pa ) ) )
& ( ( sK16_X_2 @ A_3 @ Pa )
!= A_3 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa )
= A_3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[170]) ).
thf(268,plain,
( ( ! [Com1_1: $i,Com2_1: $i] :
( ! [Com1: $i,Com2: $i] :
( ( Com1_1 != Com1 )
| ( Com2_1 != Com2 )
| ( ( semi @ Com1_1 @ Com2_1 )
= ( semi @ Com1 @ Com2 ) ) )
& ! [Com1: $i] :
( ! [Com2: $i] :
( ( semi @ Com1_1 @ Com2_1 )
!= ( semi @ Com1 @ Com2 ) )
| ( Com1_1 = Com1 ) )
& ! [Com1: $i,Com2: $i] :
( ( ( semi @ Com1_1 @ Com2_1 )
!= ( semi @ Com1 @ Com2 ) )
| ( Com2_1 = Com2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[171]) ).
thf(269,plain,
( ( ! [Com1_2: $i,Com2_2: $i] :
( skip
!= ( semi @ Com1_2 @ Com2_2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[172]) ).
thf(270,plain,
( ( ! [Com1_2: $i,Com2_2: $i] :
( ( semi @ Com1_2 @ Com2_2 )
!= skip ) )
= $true ),
inference(extcnf_combined,[status(esa)],[173]) ).
thf(271,plain,
( ( ! [B_1_1: $i,B_2: $i] :
( ~ ( is_bool @ B_2 )
| ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[175]) ).
thf(272,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ X ) @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[182]) ).
thf(273,plain,
( ( ! [P: $i] :
( ~ ( is_bool @ P )
| ! [Q: $i] :
( ( hAPP_state_bool @ ( cOMBK_bool_state @ P ) @ Q )
= P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[186]) ).
thf(274,plain,
( ( ! [P: $i] :
( ~ ( is_bool @ P )
| ( P = fTrue )
| ( P = fFalse ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[187]) ).
thf(275,plain,
( ( ! [P: $i] :
( ! [Q: $i] :
~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ( hBOOL @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[190]) ).
thf(276,plain,
( ( ! [Q: $i,P: $i] :
( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ~ ( hBOOL @ P )
| ~ ( hBOOL @ Q ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[191]) ).
thf(277,plain,
( ( ! [A_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) )
| ( A_3 = bot_bo1687970473a_bool )
| ( ( A_3
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ A_3 ) ) @ ( sK17_A_1 @ A_3 ) ) )
& ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ A_3 ) ) ) ) )
& ! [A_3: $i] :
( ( A_3 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) ) )
& ! [A_3: $i] :
( ! [A_1: $i] :
( ! [A_2: $i] :
( A_3
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[194]) ).
thf(278,plain,
( ( ! [A_3: $i,G: $i] :
( ! [F_1: $i] :
( G
!= ( finite233325225iple_a @ F_1 ) )
| ( ( hAPP_f1826273671iple_a @ G @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) )
= A_3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[196]) ).
thf(279,plain,
( ( ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) ) )
& ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[197]) ).
thf(280,plain,
( ( ! [F_1: $i,Z: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ bot_bo1687970473a_bool ) @ X_1 ) )
| ( X_1 = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[198]) ).
thf(281,plain,
( ( ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[200]) ).
thf(282,plain,
( ( ! [F_1: $i,A: $i] :
( ! [X_1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A ) @ X_1 ) )
| ( A != bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[202]) ).
thf(283,plain,
( ( ! [X_1: $i,F_1: $i,F: $i] :
( ~ ( hBOOL @ ( finite520909254iple_a @ F_1 @ F ) )
| ( ( hAPP_f1826273671iple_a @ F @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ bot_bo1687970473a_bool ) )
= X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[204]) ).
thf(284,plain,
( ( ! [F_1: $i] :
( ! [A_3: $i,Ba: $i] :
( ( A_3 != Ba )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) @ Ba ) ) )
& ! [A_3: $i,Ba: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) @ Ba ) )
| ( A_3 = Ba ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[205]) ).
thf(285,plain,
( ( ! [A: $i] :
( ( A = bot_bo1687970473a_bool )
| ( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ A ) ) @ ( sK20_SY275 @ A ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ A ) ) @ ( sK20_SY275 @ A ) ) ) ) )
& ! [A: $i] :
( ! [X_2: $i,B: $i] :
( ( A
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ B ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ B ) ) )
| ( A != bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[206]) ).
thf(286,plain,
( ( ! [Q_1: $i,Ga: $i,Ca: $i,Pa: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ ( sK21_Z_1 @ Pa @ Ca @ Ga @ Q_1 ) ) @ ( sK22_SY276 @ Pa @ Ca @ Ga @ Q_1 ) ) )
& ! [SY281: $i,SY282: $i] :
( ( ! [SY285: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY281 @ SY285 ) @ ( sK22_SY276 @ Pa @ Ca @ Ga @ Q_1 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY282 @ SY285 ) @ ( sK23_SY283 @ SY282 @ SY281 @ Pa @ Ca @ Ga @ Q_1 ) ) ) )
& ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ ( sK21_Z_1 @ Pa @ Ca @ Ga @ Q_1 ) ) @ ( sK23_SY283 @ SY282 @ SY281 @ Pa @ Ca @ Ga @ Q_1 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY281 @ Ca @ SY282 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[207]) ).
thf(287,plain,
( ( ! [A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK24_Y_1 @ A ) ) @ A ) )
| ( A = bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[208]) ).
thf(288,plain,
( ( ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
| ( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( sK25_B @ A @ A_3 ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( sK25_B @ A @ A_3 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[209]) ).
thf(289,plain,
( ( ! [X_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
| ( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ ( sK26_B @ A @ X_1 ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ ( sK26_B @ A @ X_1 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[210]) ).
thf(290,plain,
( ( ! [Y_2: $i] :
( Y_2
= ( hoare_1050552211iple_a @ ( sK27_Fun1 @ Y_2 ) @ ( sK28_SY286 @ Y_2 ) @ ( sK29_SY288 @ Y_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[211]) ).
thf(291,plain,
( ( ! [D: $i,R_1: $i,Ga: $i,Pa: $i,Ca: $i,Q_1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Q_1 @ D @ R_1 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ ( semi @ Ca @ D ) @ R_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[212]) ).
thf(292,plain,
( ( ( ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) )
| ( hBOOL @ bot_bot_bool ) )
& ( ~ ( hBOOL @ bot_bot_bool )
| ! [X_2: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[214]) ).
thf(293,plain,
( ( ( ! [X_1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_1 ) )
| ( hBOOL @ bot_bot_bool ) )
& ( ~ ( hBOOL @ bot_bot_bool )
| ! [X_1: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[215]) ).
thf(294,plain,
( ( ! [A_3: $i,A: $i] :
( bot_bo1687970473a_bool
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[217]) ).
thf(295,plain,
( ( ! [A_3: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A )
!= bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_combined,[status(esa)],[218]) ).
thf(296,plain,
( ( ! [Ba: $i,A_3: $i] :
( ( Ba != A_3 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) ) )
& ! [Ba: $i,A_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
| ( Ba = A_3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(297,plain,
( ( ! [A_3: $i,Ba: $i] :
( ! [Ca: $i,D: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
| ( A_3 = Ca )
| ( A_3 = D ) )
& ! [Ca: $i] :
( ! [D: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
| ( A_3 = Ca )
| ( Ba = Ca ) )
& ! [Ca: $i,D: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
| ( Ba = D )
| ( A_3 = D ) )
& ! [Ca: $i,D: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
| ( Ba = D )
| ( Ba = Ca ) )
& ! [Ca: $i,D: $i] :
( ( A_3 != Ca )
| ( Ba != D )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) ) )
& ! [Ca: $i,D: $i] :
( ( A_3 != D )
| ( Ba != Ca )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(298,plain,
( ( ! [Ba: $i,A_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
| ( Ba = A_3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[221]) ).
thf(299,plain,
( ( ! [A_3: $i,Ba: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
| ( A_3 = Ba ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(300,plain,
( ( ! [A_3: $i] :
( ! [Ba: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) )
| ( A_3 = Ba )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) )
& ! [Ba: $i] :
( ( A_3 != Ba )
| ! [A: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) ) )
& ! [Ba: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(301,plain,
( ( ! [Y_2: $i] :
( ! [A: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) @ X_1 ) )
| ( Y_2 = X_1 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) ) )
& ! [A: $i,X_1: $i] :
( ( Y_2 != X_1 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) @ X_1 ) ) )
& ! [A: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) @ X_1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[227]) ).
thf(302,plain,
( ( ! [B_1: $i] :
( ! [X_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ B_1 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ B_1 ) )
| ( A = B_1 ) )
& ! [X_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ B_1 ) )
| ( A != B_1 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ B_1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[228]) ).
thf(303,plain,
( ( ! [Ba: $i,A_3: $i,B_1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[229]) ).
thf(304,plain,
( ( ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A )
= A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[230]) ).
thf(305,plain,
( ( ! [A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK30_X_2 @ A ) ) @ A ) )
| ( A = bot_bo1687970473a_bool ) )
& ! [A: $i] :
( ( A != bot_bo1687970473a_bool )
| ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[232]) ).
thf(306,plain,
( ( ! [A: $i] :
( ( A = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK31_X_2 @ A ) ) @ A ) ) )
& ! [A: $i] :
( ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ A ) )
| ( A != bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[233]) ).
thf(307,plain,
( ( ! [Pa: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK32_X_2 @ Pa ) ) )
| ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ Pa ) ) )
& ! [Pa: $i] :
( ( bot_bo1687970473a_bool
!= ( collec1266446174iple_a @ Pa ) )
| ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[234]) ).
thf(308,plain,
( ( ! [Pa: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK33_X_2 @ Pa ) ) )
| ( ( collec1266446174iple_a @ Pa )
= bot_bo1687970473a_bool ) )
& ! [Pa: $i] :
( ( ( collec1266446174iple_a @ Pa )
!= bot_bo1687970473a_bool )
| ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[236]) ).
thf(309,plain,
( ( ! [A_3: $i,A: $i] :
( ( A != bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[237]) ).
thf(310,plain,
( ( ! [Ba: $i] :
( ! [A_3: $i,B_1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) )
& ! [A_3: $i] :
( ( A_3 != Ba )
| ! [B_1: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[239]) ).
thf(311,plain,
( ( ! [A_3: $i,Ba: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) )
| ( A_3 = Ba )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[240]) ).
thf(312,plain,
( ( ! [Q_1: $i,Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_2 @ Ca @ Q_3 ) ) @ bot_bo1687970473a_bool ) ) )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ ( sK34_Z_1 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) @ ( sK35_SY289 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) )
& ! [SY294: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ SY294 ) @ ( sK35_SY289 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_3 @ SY294 ) @ ( sK36_SY292 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) ) )
& ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ ( sK34_Z_1 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) @ ( sK36_SY292 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[241]) ).
thf(313,plain,
( ( ! [Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_2 @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ ( sK37_Z_1 @ Q_1 @ Ca @ P_2 @ Ga @ Pa ) ) @ ( sK38_SY295 @ Q_1 @ Ca @ P_2 @ Ga @ Pa ) ) )
& ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ ( sK37_Z_1 @ Q_1 @ Ca @ P_2 @ Ga @ Pa ) ) @ ( sK38_SY295 @ Q_1 @ Ca @ P_2 @ Ga @ Pa ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[242]) ).
thf(314,plain,
( ( ! [Q_1: $i,Ga: $i,Pa: $i,Ca: $i,Q_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_3 ) ) @ bot_bo1687970473a_bool ) ) )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_3 @ ( sK39_Z_1 @ Q_3 @ Ca @ Pa @ Ga @ Q_1 ) ) @ ( sK40_SY296 @ Q_3 @ Ca @ Pa @ Ga @ Q_1 ) ) )
& ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ ( sK39_Z_1 @ Q_3 @ Ca @ Pa @ Ga @ Q_1 ) ) @ ( sK40_SY296 @ Q_3 @ Ca @ Pa @ Ga @ Q_1 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[243]) ).
thf(315,plain,
( ( ! [Ts: $i,Ga: $i,T: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ T ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ T ) @ Ts ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[244]) ).
thf(316,plain,
( ( ! [Ga: $i,G_1: $i,Ts: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ G_1 ) @ Ts ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ G_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[245]) ).
thf(317,plain,
( ( ! [Fun1_2: $i,Com_2: $i,Fun2_2: $i,Fun1_1: $i] :
( ! [Com_1: $i,Fun2_1: $i] :
( ( Fun1_2 != Fun1_1 )
| ( Com_2 != Com_1 )
| ( Fun2_2 != Fun2_1 )
| ( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) ) )
& ( ! [Com_1: $i,Fun2_1: $i] :
( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
!= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) )
| ( Fun1_2 = Fun1_1 ) )
& ! [Com_1: $i] :
( ! [Fun2_1: $i] :
( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
!= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) )
| ( Com_2 = Com_1 ) )
& ! [Com_1: $i,Fun2_1: $i] :
( ( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
!= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) )
| ( Fun2_2 = Fun2_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[246]) ).
thf(318,plain,
( ( is_bool @ fFalse )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(319,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_f1753944735l_bool @ B_1_1 @ B_2 ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(320,plain,
( ( ! [Ga: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(321,plain,
( ( ! [Fun1_2: $i,Com_2: $i,Fun2_2: $i,Fun1_1: $i] :
( ! [Com_1: $i,Fun2_1: $i] :
( ( Fun1_2 != Fun1_1 )
| ( Com_2 != Com_1 )
| ( Fun2_2 != Fun2_1 )
| ( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) ) )
& ( ! [Com_1: $i,Fun2_1: $i] :
( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
!= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) )
| ( Fun1_2 = Fun1_1 ) )
& ! [Com_1: $i] :
( ! [Fun2_1: $i] :
( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
!= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) )
| ( Com_2 = Com_1 ) )
& ! [Com_1: $i,Fun2_1: $i] :
( ( ( hoare_1050552211iple_a @ Fun1_2 @ Com_2 @ Fun2_2 )
!= ( hoare_1050552211iple_a @ Fun1_1 @ Com_1 @ Fun2_1 ) )
| ( Fun2_2 = Fun2_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(322,plain,
( ( ! [Ga: $i,G_1: $i,Ts: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ G_1 ) @ Ts ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ G_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(323,plain,
( ( ! [Ts: $i,Ga: $i,T: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ T ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ T ) @ Ts ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(324,plain,
( ( ! [Q_1: $i,Ga: $i,Pa: $i,Ca: $i,Q_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_3 ) ) @ bot_bo1687970473a_bool ) ) )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_3 @ ( sK39_Z_1 @ Q_3 @ Ca @ Pa @ Ga @ Q_1 ) ) @ ( sK40_SY296 @ Q_3 @ Ca @ Pa @ Ga @ Q_1 ) ) )
& ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ ( sK39_Z_1 @ Q_3 @ Ca @ Pa @ Ga @ Q_1 ) ) @ ( sK40_SY296 @ Q_3 @ Ca @ Pa @ Ga @ Q_1 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(325,plain,
( ( ! [Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_2 @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ ( sK37_Z_1 @ Q_1 @ Ca @ P_2 @ Ga @ Pa ) ) @ ( sK38_SY295 @ Q_1 @ Ca @ P_2 @ Ga @ Pa ) ) )
& ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ ( sK37_Z_1 @ Q_1 @ Ca @ P_2 @ Ga @ Pa ) ) @ ( sK38_SY295 @ Q_1 @ Ca @ P_2 @ Ga @ Pa ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(326,plain,
( ( ! [Q_1: $i,Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ P_2 @ Ca @ Q_3 ) ) @ bot_bo1687970473a_bool ) ) )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ ( sK34_Z_1 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) @ ( sK35_SY289 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) )
& ! [SY294: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ SY294 ) @ ( sK35_SY289 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_3 @ SY294 ) @ ( sK36_SY292 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) ) )
& ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ ( sK34_Z_1 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) @ ( sK36_SY292 @ Q_3 @ Ca @ P_2 @ Ga @ Pa @ Q_1 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(327,plain,
( ( ! [A_3: $i,Ba: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) )
| ( A_3 = Ba )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(328,plain,
( ( ! [Ba: $i] :
( ! [A_3: $i,B_1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) )
& ! [A_3: $i] :
( ( A_3 != Ba )
| ! [B_1: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(329,plain,
( ( ! [A_3: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(330,plain,
( ( ! [A_3: $i,A: $i] :
( ( A != bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(331,plain,
( ( ! [Pa: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK33_X_2 @ Pa ) ) )
| ( ( collec1266446174iple_a @ Pa )
= bot_bo1687970473a_bool ) )
& ! [Pa: $i] :
( ( ( collec1266446174iple_a @ Pa )
!= bot_bo1687970473a_bool )
| ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(332,plain,
( ( ! [Ca: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ca ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(333,plain,
( ( ! [Pa: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK32_X_2 @ Pa ) ) )
| ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ Pa ) ) )
& ! [Pa: $i] :
( ( bot_bo1687970473a_bool
!= ( collec1266446174iple_a @ Pa ) )
| ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(334,plain,
( ( ! [A: $i] :
( ( A = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK31_X_2 @ A ) ) @ A ) ) )
& ! [A: $i] :
( ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ A ) )
| ( A != bot_bo1687970473a_bool ) ) )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(335,plain,
( ( ! [A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK30_X_2 @ A ) ) @ A ) )
| ( A = bot_bo1687970473a_bool ) )
& ! [A: $i] :
( ( A != bot_bo1687970473a_bool )
| ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(336,plain,
( ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ ( cOMBK_1150238960iple_a @ fFalse ) ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(337,plain,
( ( ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(338,plain,
( ( ! [Ba: $i,A_3: $i,B_1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ B_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(339,plain,
( ( ! [B_1: $i] :
( ! [X_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ B_1 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ B_1 ) )
| ( A = B_1 ) )
& ! [X_1: $i,A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ B_1 ) )
| ( A != B_1 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(340,plain,
( ( ! [Y_2: $i] :
( ! [A: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) @ X_1 ) )
| ( Y_2 = X_1 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) ) )
& ! [A: $i,X_1: $i] :
( ( Y_2 != X_1 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) @ X_1 ) ) )
& ! [A: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) @ X_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(341,plain,
( ( ! [A_3: $i] :
( ! [Ba: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) )
| ( A_3 = Ba )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) ) )
& ! [Ba: $i] :
( ( A_3 != Ba )
| ! [A: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) ) )
& ! [Ba: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(342,plain,
( ( ! [X_1: $i,Y_2: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ A ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Y_2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(343,plain,
( ( ! [X_1: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(344,plain,
( ( ! [A_3: $i,B_1: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ B_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(345,plain,
( ( ! [A_3: $i,Ba: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
| ( A_3 = Ba ) ) )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(346,plain,
( ( ! [Ba: $i,A_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
| ( Ba = A_3 ) ) )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(347,plain,
( ( ! [A_3: $i,Ba: $i] :
( ! [Ca: $i,D: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
| ( A_3 = Ca )
| ( A_3 = D ) )
& ! [Ca: $i] :
( ! [D: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
| ( A_3 = Ca )
| ( Ba = Ca ) )
& ! [Ca: $i,D: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
| ( Ba = D )
| ( A_3 = D ) )
& ! [Ca: $i,D: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) )
| ( Ba = D )
| ( Ba = Ca ) )
& ! [Ca: $i,D: $i] :
( ( A_3 != Ca )
| ( Ba != D )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) ) )
& ! [Ca: $i,D: $i] :
( ( A_3 != D )
| ( Ba != Ca )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ba ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ Ca ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ D ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(348,plain,
( ( ! [Ba: $i,A_3: $i] :
( ( Ba != A_3 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) ) )
& ! [Ba: $i,A_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ Ba ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) )
| ( Ba = A_3 ) ) )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(349,plain,
( ( ! [A_3: $i,A: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A )
!= bot_bo1687970473a_bool ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(350,plain,
( ( ! [A_3: $i,A: $i] :
( bot_bo1687970473a_bool
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(351,plain,
( ( ! [X_1: $i] :
( ( hAPP_f1826273671iple_a @ the_el287271400iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ bot_bo1687970473a_bool ) )
= X_1 ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(352,plain,
( ( ( ! [X_1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_1 ) )
| ( hBOOL @ bot_bot_bool ) )
& ( ~ ( hBOOL @ bot_bot_bool )
| ! [X_1: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(353,plain,
( ( ( ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) )
| ( hBOOL @ bot_bot_bool ) )
& ( ~ ( hBOOL @ bot_bot_bool )
| ! [X_2: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(354,plain,
( ( ! [Ga: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ skip @ Pa ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[213]) ).
thf(355,plain,
( ( ! [D: $i,R_1: $i,Ga: $i,Pa: $i,Ca: $i,Q_1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Q_1 @ D @ R_1 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ ( semi @ Ca @ D ) @ R_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(356,plain,
( ( ! [Y_2: $i] :
( Y_2
= ( hoare_1050552211iple_a @ ( sK27_Fun1 @ Y_2 ) @ ( sK28_SY286 @ Y_2 ) @ ( sK29_SY288 @ Y_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(357,plain,
( ( ! [X_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
| ( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ ( sK26_B @ A @ X_1 ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ ( sK26_B @ A @ X_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(358,plain,
( ( ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
| ( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ ( sK25_B @ A @ A_3 ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ ( sK25_B @ A @ A_3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(359,plain,
( ( ! [A: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK24_Y_1 @ A ) ) @ A ) )
| ( A = bot_bo1687970473a_bool ) ) )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(360,plain,
( ( ! [Q_1: $i,Ga: $i,Ca: $i,Pa: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ ( sK21_Z_1 @ Pa @ Ca @ Ga @ Q_1 ) ) @ ( sK22_SY276 @ Pa @ Ca @ Ga @ Q_1 ) ) )
& ! [SY281: $i,SY282: $i] :
( ( ! [SY285: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY281 @ SY285 ) @ ( sK22_SY276 @ Pa @ Ca @ Ga @ Q_1 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY282 @ SY285 ) @ ( sK23_SY283 @ SY282 @ SY281 @ Pa @ Ca @ Ga @ Q_1 ) ) ) )
& ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Q_1 @ ( sK21_Z_1 @ Pa @ Ca @ Ga @ Q_1 ) ) @ ( sK23_SY283 @ SY282 @ SY281 @ Pa @ Ca @ Ga @ Q_1 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY281 @ Ca @ SY282 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(361,plain,
( ( ! [A: $i] :
( ( A = bot_bo1687970473a_bool )
| ( ( A
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ A ) ) @ ( sK20_SY275 @ A ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ A ) ) @ ( sK20_SY275 @ A ) ) ) ) )
& ! [A: $i] :
( ! [X_2: $i,B: $i] :
( ( A
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_2 ) @ B ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ B ) ) )
| ( A != bot_bo1687970473a_bool ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(362,plain,
( ( ! [F_1: $i] :
( ! [A_3: $i,Ba: $i] :
( ( A_3 != Ba )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) @ Ba ) ) )
& ! [A_3: $i,Ba: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) ) @ Ba ) )
| ( A_3 = Ba ) ) ) )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(363,plain,
( ( ! [X_1: $i,F_1: $i,F: $i] :
( ~ ( hBOOL @ ( finite520909254iple_a @ F_1 @ F ) )
| ( ( hAPP_f1826273671iple_a @ F @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ X_1 ) @ bot_bo1687970473a_bool ) )
= X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(364,plain,
( ( ! [F_1: $i,X_1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ bot_bo1687970473a_bool ) @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(365,plain,
( ( ! [F_1: $i,A: $i] :
( ! [X_1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A ) @ X_1 ) )
| ( A != bot_bo1687970473a_bool ) ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(366,plain,
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ bot_bo1687970473a_bool ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(367,plain,
( ( ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(368,plain,
( ( ! [F_1: $i,Z: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ bot_bo1687970473a_bool ) @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(369,plain,
( ( ! [F_1: $i,Z: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ bot_bo1687970473a_bool ) @ X_1 ) )
| ( X_1 = Z ) ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(370,plain,
( ( ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) ) )
& ! [A_3: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(371,plain,
( ( ! [A_3: $i,G: $i] :
( ! [F_1: $i] :
( G
!= ( finite233325225iple_a @ F_1 ) )
| ( ( hAPP_f1826273671iple_a @ G @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) )
= A_3 ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(372,plain,
( ( ! [F_1: $i,A_3: $i] :
( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ bot_bo1687970473a_bool ) )
= A_3 ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(373,plain,
( ( ! [A_3: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) )
| ( A_3 = bot_bo1687970473a_bool )
| ( ( A_3
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ A_3 ) ) @ ( sK17_A_1 @ A_3 ) ) )
& ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ A_3 ) ) ) ) )
& ! [A_3: $i] :
( ( A_3 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) ) )
& ! [A_3: $i] :
( ! [A_1: $i] :
( ! [A_2: $i] :
( A_3
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(374,plain,
( ( ! [P: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
| ~ ( hBOOL @ P ) ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(375,plain,
( ( ! [P: $i] :
( ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(376,plain,
( ( ! [Q: $i,P: $i] :
( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ~ ( hBOOL @ P )
| ~ ( hBOOL @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(377,plain,
( ( ! [P: $i] :
( ! [Q: $i] :
~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ( hBOOL @ P ) ) )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(378,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ P ) @ Q ) )
| ( hBOOL @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(379,plain,
( ( ~ ( hBOOL @ fFalse ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(380,plain,
( ( ! [P: $i] :
( ~ ( is_bool @ P )
| ( P = fTrue )
| ( P = fFalse ) ) )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(381,plain,
( ( ! [P: $i] :
( ~ ( is_bool @ P )
| ! [Q: $i] :
( ( hAPP_state_bool @ ( cOMBK_bool_state @ P ) @ Q )
= P ) ) )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(382,plain,
( ( ! [P: $i,Q: $i] :
( ( hAPP_a2036067514e_bool @ ( cOMBK_1458035955bool_a @ P ) @ Q )
= P ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(383,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ P ) @ Q ) @ R )
= ( hAPP_bool_bool @ P @ ( hAPP_state_bool @ Q @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(384,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ X ) @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(385,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ X ) @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(386,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ P ) @ Q ) @ R )
= ( hAPP_f1759915619e_bool @ ( hAPP_a1200519163e_bool @ P @ R ) @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(387,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( finite520909254iple_a @ B_1_1 @ B_2 ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(388,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( finite1948426435iple_a @ B_1_1 @ B_2 ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(389,plain,
( ( is_bool @ bot_bot_bool )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(390,plain,
( ( is_bool @ fTrue )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(391,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_state_bool @ B_1_1 @ B_2 ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(392,plain,
( ( ! [B_1_1: $i,B_2: $i] :
( ~ ( is_bool @ B_2 )
| ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[271]) ).
thf(393,plain,
( ( ! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_H1927961489a_bool @ B_1_1 @ B_2 ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(394,plain,
( ( ! [Com1_2: $i,Com2_2: $i] :
( ( semi @ Com1_2 @ Com2_2 )
!= skip ) )
= $true ),
inference(copy,[status(thm)],[270]) ).
thf(395,plain,
( ( ! [Com1_2: $i,Com2_2: $i] :
( skip
!= ( semi @ Com1_2 @ Com2_2 ) ) )
= $true ),
inference(copy,[status(thm)],[269]) ).
thf(396,plain,
( ( ! [Com1_1: $i,Com2_1: $i] :
( ! [Com1: $i,Com2: $i] :
( ( Com1_1 != Com1 )
| ( Com2_1 != Com2 )
| ( ( semi @ Com1_1 @ Com2_1 )
= ( semi @ Com1 @ Com2 ) ) )
& ! [Com1: $i] :
( ! [Com2: $i] :
( ( semi @ Com1_1 @ Com2_1 )
!= ( semi @ Com1 @ Com2 ) )
| ( Com1_1 = Com1 ) )
& ! [Com1: $i,Com2: $i] :
( ( ( semi @ Com1_1 @ Com2_1 )
!= ( semi @ Com1 @ Com2 ) )
| ( Com2_1 = Com2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[268]) ).
thf(397,plain,
( ( ! [Pa: $i,A_3: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK16_X_2 @ A_3 @ Pa ) ) )
& ( ( sK16_X_2 @ A_3 @ Pa )
!= A_3 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa )
= A_3 ) ) )
= $true ),
inference(copy,[status(thm)],[267]) ).
thf(398,plain,
( ( ! [Pa: $i,A_3: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK15_X_2 @ A_3 @ Pa ) ) )
& ( ( sK15_X_2 @ A_3 @ Pa )
!= A_3 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(399,plain,
( ( ! [A_3: $i,Pa: $i] :
( ! [X_2: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK14_Y_1 @ X_2 @ Pa @ A_3 ) ) )
& ( ( sK14_Y_1 @ X_2 @ Pa @ A_3 )
!= X_2 ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ A_3 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa )
= A_3 ) ) )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(400,plain,
( ( ! [Pa: $i] :
( ! [X_2: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( sK13_Y_1 @ X_2 @ Pa ) ) )
& ( ( sK13_Y_1 @ X_2 @ Pa )
!= X_2 ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(401,plain,
( ( ! [X_2: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ bot_bo1687970473a_bool ) ) )
& ! [X_2: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_2 ) @ bot_bo1687970473a_bool ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(402,plain,
( ( ! [F_1: $i,A_3: $i,A: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_3 @ A ) @ X_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_3 ) @ A ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ A ) ) @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(403,plain,
( ( ! [F_1: $i,A: $i] :
( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ A )
= ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ ( finite388748825iple_a @ F_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(404,plain,
( ( ! [X_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) ) )
& ! [X_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ A @ X_1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ X_1 ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(405,plain,
( ( ! [Pa: $i] :
( ( collec1266446174iple_a @ Pa )
= Pa ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(406,plain,
( ( ! [A: $i,F_1: $i,F: $i] :
( ~ ( hBOOL @ ( finite520909254iple_a @ F_1 @ F ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( ( hAPP_f1826273671iple_a @ F @ A )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ F_1 ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(407,plain,
( ( ! [F_1: $i,A_3: $i,X_3: $i,X_1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ X_3 ) ) @ X_1 ) )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_3 ) @ X_3 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ X_1 @ X_3 @ A_3 @ F_1 ) ) @ ( sK12_SY273 @ X_1 @ X_3 @ A_3 @ F_1 ) ) )
& ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ ( sK11_A_2 @ X_1 @ X_3 @ A_3 @ F_1 ) @ ( sK12_SY273 @ X_1 @ X_3 @ A_3 @ F_1 ) ) @ X_1 ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ X_1 @ X_3 @ A_3 @ F_1 ) ) @ ( sK12_SY273 @ X_1 @ X_3 @ A_3 @ F_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(408,plain,
( ( ! [F_1: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( A = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A ) @ ( sK10_X1 @ A @ F_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(409,plain,
( ( ! [Pa: $i,F: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ bot_bo1687970473a_bool ) )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ F @ Pa ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ F @ Pa ) ) @ ( sK9_SY272 @ F @ Pa ) ) )
& ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( sK9_SY272 @ F @ Pa ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ F @ Pa ) ) @ ( sK9_SY272 @ F @ Pa ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F ) ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(410,plain,
( ( ! [F_1: $i,Z: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ Z @ A ) @ ( sK7_X1 @ A @ Z @ F_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(411,plain,
( ( ! [F_1: $i] :
( ! [A1: $i,A2: $i] :
( ! [A_2: $i,A_1: $i] :
( ! [X_2: $i] :
( ( A1
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) )
| ( A2 != X_2 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ A_2 @ A_1 ) @ X_2 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ A_2 ) @ A_1 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A1 ) @ A2 ) ) )
& ! [A1: $i,A2: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ F_1 @ A1 ) @ A2 ) )
| ( ( A1
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ A2 @ A1 @ F_1 ) ) @ ( sK5_SY269 @ A2 @ A1 @ F_1 ) ) )
& ( A2
= ( sK6_SY271 @ A2 @ A1 @ F_1 ) )
& ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ F_1 @ ( sK4_A_2 @ A2 @ A1 @ F_1 ) @ ( sK5_SY269 @ A2 @ A1 @ F_1 ) ) @ ( sK6_SY271 @ A2 @ A1 @ F_1 ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ A2 @ A1 @ F_1 ) ) @ ( sK5_SY269 @ A2 @ A1 @ F_1 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(412,plain,
( ( ! [Pa: $i,F: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ F ) )
| ( F = bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ F @ Pa ) ) @ bot_bo1687970473a_bool ) ) )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ F @ Pa ) ) )
& ( ( sK2_SY268 @ F @ Pa )
!= bot_bo1687970473a_bool )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ F @ Pa ) ) @ ( sK2_SY268 @ F @ Pa ) ) )
& ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( sK2_SY268 @ F @ Pa ) ) )
& ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ F @ Pa ) ) @ ( sK2_SY268 @ F @ Pa ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ Pa @ F ) ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(413,plain,
( ( ! [Q: $i,P: $i] :
( ~ ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(414,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ Q )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(415,plain,
( ( ! [P: $i,Q: $i] :
( ( hBOOL @ Q )
| ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ P ) @ Q ) )
| ( hBOOL @ P ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(416,plain,
( ( ! [Q: $i,P: $i] :
( ( hBOOL @ P )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(417,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( hBOOL @ Q )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(418,plain,
( ( ! [P: $i,Q: $i] :
( ( hBOOL @ Q )
| ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ P ) @ Q ) )
| ~ ( hBOOL @ P ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(419,plain,
( ( ! [P: $i] :
( ~ ( is_bool @ P )
| ! [Q: $i] :
( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ P ) @ Q )
= P ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(420,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( cOMBB_650444389iple_a @ P ) @ Q ) @ R )
= ( hAPP_bool_bool @ P @ ( hAPP_H1927961489a_bool @ Q @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(421,plain,
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(422,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ bot_bo1687970473a_bool ) ) )
| ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ bot_bo1687970473a_bool ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(423,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX3 ) @ bot_bo1687970473a_bool ) ) )
| ( SX0 = SX2 )
| ( SX0 = SX3 ) )
| ~ ! [SX2: $i] :
( ! [SX3: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX3 ) @ bot_bo1687970473a_bool ) ) )
| ( SX0 = SX2 )
| ( SX1 = SX2 ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX3 ) @ bot_bo1687970473a_bool ) ) )
| ( SX1 = SX3 )
| ( SX0 = SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX3 ) @ bot_bo1687970473a_bool ) ) )
| ( SX1 = SX3 )
| ( SX1 = SX2 ) ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX0 != SX2 )
| ( SX1 != SX3 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX3 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( SX0 != SX3 )
| ( SX1 != SX2 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX3 ) @ bot_bo1687970473a_bool ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(424,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX3 @ ( sK21_Z_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK22_SY276 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( ~ ! [SX6: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX4 @ SX6 ) @ ( sK22_SY276 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX5 @ SX6 ) @ ( sK23_SY283 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX0 @ ( sK21_Z_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK23_SY283 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SX1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SX4 @ SX2 @ SX5 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SX1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SX3 @ SX2 @ SX0 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(425,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ! [SX3: $i,SX4: $i] :
( ! [SX5: $i] :
( ( SX1
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX3 ) @ SX4 ) )
| ( SX2 != SX5 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SX0 @ SX3 @ SX4 ) @ SX5 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX3 ) @ SX4 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SX0 @ SX1 ) @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SX0 @ SX1 ) @ SX2 ) )
| ~ ( ~ ~ ( ~ ~ ( ( SX1
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SX2 @ SX1 @ SX0 ) ) @ ( sK5_SY269 @ SX2 @ SX1 @ SX0 ) ) )
| ( SX2
!= ( sK6_SY271 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SX0 @ ( sK4_A_2 @ SX2 @ SX1 @ SX0 ) @ ( sK5_SY269 @ SX2 @ SX1 @ SX0 ) ) @ ( sK6_SY271 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SX2 @ SX1 @ SX0 ) ) @ ( sK5_SY269 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(426,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX0 != SX2 )
| ( SX1 != SX3 )
| ( ( semi @ SX0 @ SX1 )
= ( semi @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ! [SX3: $i] :
( ( semi @ SX0 @ SX1 )
!= ( semi @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( semi @ SX0 @ SX1 )
!= ( semi @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(427,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 ) ) )
| ( SX0 = SX1 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX2 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(428,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) )
| ~ ( ( SX1
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ ( sK25_B @ SX1 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( sK25_B @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(429,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) )
| ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK16_X_2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK16_X_2 @ SX1 @ SX0 )
!= SX1 ) ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(430,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SX0 @ bot_bo1687970473a_bool ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SX1 @ SX0 ) ) @ ( sK9_SY272 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SX0 @ ( sK9_SY272 @ SX1 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SX0 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SX1 @ SX0 ) ) @ ( sK9_SY272 @ SX1 @ SX0 ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(431,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ bot_bot_bool ) )
| ~ ( ~ ( hBOOL @ bot_bot_bool )
| ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(432,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 = bot_bo1687970473a_bool )
| ~ ( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SX0 ) ) @ ( sK20_SY275 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SX0 ) ) @ ( sK20_SY275 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX2 ) ) )
| ( SX0 != bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(433,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SX1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SX2 @ SX3 @ SX4 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX0 @ ( sK37_Z_1 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK38_SY295 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX2 @ ( sK37_Z_1 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK38_SY295 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SX1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SX0 @ SX3 @ SX4 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(434,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) )
| ( SX1 = bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SX0 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SX1 @ SX0 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SX1 @ SX0 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SX1 @ SX0 ) ) @ ( sK2_SY268 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SX0 @ ( sK2_SY268 @ SX1 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SX0 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SX1 @ SX0 ) ) @ ( sK2_SY268 @ SX1 @ SX0 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(435,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(436,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK30_X_2 @ SX0 ) ) @ SX0 ) )
| ( SX0 = bot_bo1687970473a_bool ) )
| ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(437,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK13_Y_1 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK13_Y_1 @ SX1 @ SX0 )
!= SX1 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(438,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) @ SX2 ) )
| ( SX0 = SX2 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( SX0 != SX2 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX2 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(439,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SX1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SX2 @ SX3 @ SX4 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX4 @ ( sK39_Z_1 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK40_SY296 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX0 @ ( sK39_Z_1 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK40_SY296 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SX1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SX2 @ SX3 @ SX0 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(440,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) )
| ( SX0 = bot_bo1687970473a_bool )
| ~ ( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SX0 ) ) @ ( sK17_A_1 @ SX0 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ SX1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(441,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( SX1 != SX2 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SX0 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SX0 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) @ SX2 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[362]) ).
thf(442,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(443,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ! [SX4: $i,SX5: $i] :
( ( SX0 != SX3 )
| ( SX1 != SX4 )
| ( SX2 != SX5 )
| ( ( hoare_1050552211iple_a @ SX0 @ SX1 @ SX2 )
= ( hoare_1050552211iple_a @ SX3 @ SX4 @ SX5 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX4: $i,SX5: $i] :
( ( hoare_1050552211iple_a @ SX0 @ SX1 @ SX2 )
!= ( hoare_1050552211iple_a @ SX3 @ SX4 @ SX5 ) )
| ( SX0 = SX3 ) )
| ~ ! [SX4: $i] :
( ! [SX5: $i] :
( ( hoare_1050552211iple_a @ SX0 @ SX1 @ SX2 )
!= ( hoare_1050552211iple_a @ SX3 @ SX4 @ SX5 ) )
| ( SX1 = SX4 ) ) )
| ~ ! [SX4: $i,SX5: $i] :
( ( ( hoare_1050552211iple_a @ SX0 @ SX1 @ SX2 )
!= ( hoare_1050552211iple_a @ SX3 @ SX4 @ SX5 ) )
| ( SX2 = SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(444,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX0 ) )
| ( SX2 = SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) )
| ( SX2 != SX0 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(445,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK33_X_2 @ SX0 ) ) )
| ( ( collec1266446174iple_a @ SX0 )
= bot_bo1687970473a_bool ) )
| ~ ! [SX0: $i] :
( ( ( collec1266446174iple_a @ SX0 )
!= bot_bo1687970473a_bool )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(446,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SX0 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 ) ) @ SX3 ) )
| ~ ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK12_SY273 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SX0 @ ( sK11_A_2 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK12_SY273 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ SX3 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK12_SY273 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(447,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ ( sK14_Y_1 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK14_Y_1 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX2 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SX1 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(448,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK32_X_2 @ SX0 ) ) )
| ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( bot_bo1687970473a_bool
!= ( collec1266446174iple_a @ SX0 ) )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(449,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) )
| ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK15_X_2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK15_X_2 @ SX1 @ SX0 )
!= SX1 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(450,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK31_X_2 @ SX0 ) ) @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) )
| ( SX0 != bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(451,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(452,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ bot_bot_bool ) )
| ~ ( ~ ( hBOOL @ bot_bot_bool )
| ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(453,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 != SX0 )
| ! [SX2: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(454,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SX2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SX3 @ SX4 @ SX5 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX1 @ ( sK34_Z_1 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK35_SY289 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX6: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX3 @ SX6 ) @ ( sK35_SY289 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX5 @ SX6 ) @ ( sK36_SY292 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SX0 @ ( sK34_Z_1 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK36_SY292 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SX2 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SX1 @ SX4 @ SX0 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(455,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) )
| ~ ( ( SX1
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ ( sK26_B @ SX1 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( sK26_B @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(456,plain,
! [SV1: $i] :
( ( ! [SY297: $i] : ( is_bool @ ( hAPP_f1753944735l_bool @ SV1 @ SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(457,plain,
! [SV2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV2 ) @ bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(458,plain,
! [SV3: $i] :
( ( ! [SY298: $i,SY299: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY298 ) @ SY299 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SY298 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(459,plain,
! [SV4: $i] :
( ( ! [SY300: $i,SY301: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY300 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY301 ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY300 ) @ SV4 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY300 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY301 ) @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(460,plain,
! [SV5: $i] :
( ( ! [SY302: $i,SY303: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY302 ) @ SY303 ) ) )
| ( SV5 = SY302 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ SY303 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(461,plain,
! [SV6: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV6 ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(462,plain,
! [SV7: $i] :
( ( ! [SY304: $i] :
( ( SY304 != bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV7 ) @ SY304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(463,plain,
! [SV8: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV8 ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(464,plain,
! [SV9: $i] :
( ( ! [SY305: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV9 ) @ SY305 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV9 ) @ SY305 )
= SY305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(465,plain,
! [SV10: $i] :
( ( ! [SY306: $i,SY307: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY306 ) @ SY307 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY306 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV10 ) @ SY307 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(466,plain,
! [SV11: $i] :
( ( ! [SY308: $i,SY309: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV11 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY308 ) @ SY309 ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY308 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV11 ) @ SY309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(467,plain,
! [SV12: $i] :
( ( ! [SY310: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV12 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV12 ) @ SY310 ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV12 ) @ SY310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(468,plain,
! [SV13: $i] :
( ( ! [SY311: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV13 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV13 ) @ SY311 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(469,plain,
! [SV14: $i] :
( ( ! [SY312: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV14 ) @ bot_bo1687970473a_bool )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY312 ) @ bot_bo1687970473a_bool ) )
| ( SV14 = SY312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(470,plain,
! [SV15: $i] :
( ( ! [SY313: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV15 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY313 ) @ bot_bo1687970473a_bool ) ) )
| ( SV15 = SY313 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(471,plain,
! [SV16: $i] :
( ( ! [SY314: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV16 ) @ SY314 )
!= bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(472,plain,
! [SV17: $i] :
( ( ! [SY315: $i] :
( bot_bo1687970473a_bool
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV17 ) @ SY315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(473,plain,
! [SV18: $i] :
( ( ( hAPP_f1826273671iple_a @ the_el287271400iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV18 ) @ bot_bo1687970473a_bool ) )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(474,plain,
! [SV19: $i] :
( ( ! [SY316: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV19 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY316 @ skip @ SY316 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(475,plain,
! [SV20: $i] :
( ( ! [SY317: $i,SY318: $i,SY319: $i,SY320: $i,SY321: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY318 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY319 @ SY320 @ SY321 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY318 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY321 @ SV20 @ SY317 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY318 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY319 @ ( semi @ SY320 @ SV20 ) @ SY317 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(476,plain,
! [SV21: $i] :
( ( SV21
= ( hoare_1050552211iple_a @ ( sK27_Fun1 @ SV21 ) @ ( sK28_SY286 @ SV21 ) @ ( sK29_SY288 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(477,plain,
! [SV22: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK24_Y_1 @ SV22 ) ) @ SV22 ) )
| ( SV22 = bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(478,plain,
! [SV23: $i] :
( ( ! [SY322: $i,SY323: $i] :
( ~ ( hBOOL @ ( finite520909254iple_a @ SY322 @ SY323 ) )
| ( ( hAPP_f1826273671iple_a @ SY323 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV23 ) @ bot_bo1687970473a_bool ) )
= SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(479,plain,
! [SV24: $i] :
( ( ! [SY324: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV24 @ bot_bo1687970473a_bool ) @ SY324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(480,plain,
! [SV25: $i] :
( ( ! [SY325: $i] :
( ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV25 @ SY325 ) @ SY326 ) )
| ( SY325 != bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(481,plain,
! [SV26: $i] :
( ( ! [SY327: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY327 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV26 ) @ SY327 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(482,plain,
! [SV27: $i] :
( ( ! [SY328: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV27 @ SY328 @ bot_bo1687970473a_bool ) @ SY328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(483,plain,
! [SV28: $i] :
( ( ! [SY329: $i,SY330: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV28 @ SY329 @ bot_bo1687970473a_bool ) @ SY330 ) )
| ( SY330 = SY329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(484,plain,
! [SV29: $i] :
( ( ! [SY331: $i] :
( ! [F_1: $i] :
( SY331
!= ( finite233325225iple_a @ F_1 ) )
| ( ( hAPP_f1826273671iple_a @ SY331 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV29 ) @ bot_bo1687970473a_bool ) )
= SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(485,plain,
! [SV30: $i] :
( ( ! [SY333: $i] :
( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV30 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY333 ) @ bot_bo1687970473a_bool ) )
= SY333 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(486,plain,
! [SV31: $i] :
( ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV31 ) )
| ~ ( hBOOL @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(487,plain,
! [SV32: $i] :
( ( ( hBOOL @ SV32 )
| ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(488,plain,
! [SV33: $i] :
( ( ! [SY334: $i] :
( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SY334 ) @ SV33 ) )
| ~ ( hBOOL @ SY334 )
| ~ ( hBOOL @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(489,plain,
! [SV34: $i] :
( ( ! [SY335: $i] :
~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV34 ) @ SY335 ) )
| ( hBOOL @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(490,plain,
! [SV35: $i] :
( ( ! [SY336: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV35 ) @ SY336 ) )
| ( hBOOL @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(491,plain,
( ( hBOOL @ fFalse )
= $false ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(492,plain,
! [SV36: $i] :
( ( ~ ( is_bool @ SV36 )
| ( SV36 = fTrue )
| ( SV36 = fFalse ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(493,plain,
! [SV37: $i] :
( ( ~ ( is_bool @ SV37 )
| ! [SY337: $i] :
( ( hAPP_state_bool @ ( cOMBK_bool_state @ SV37 ) @ SY337 )
= SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(494,plain,
! [SV38: $i] :
( ( ! [SY338: $i] :
( ( hAPP_a2036067514e_bool @ ( cOMBK_1458035955bool_a @ SV38 ) @ SY338 )
= SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(495,plain,
! [SV39: $i] :
( ( ! [SY339: $i,SY340: $i] :
( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ SV39 ) @ SY339 ) @ SY340 )
= ( hAPP_bool_bool @ SV39 @ ( hAPP_state_bool @ SY339 @ SY340 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(496,plain,
! [SV40: $i] :
( ( ! [SY341: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ SV40 ) @ SY341 ) )
| ( SV40 = SY341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(497,plain,
! [SV41: $i] :
( ( ! [SY342: $i] :
( ( SV41 != SY342 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ SV41 ) @ SY342 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(498,plain,
! [SV42: $i] :
( ( ! [SY343: $i,SY344: $i] :
( ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ SV42 ) @ SY343 ) @ SY344 )
= ( hAPP_f1759915619e_bool @ ( hAPP_a1200519163e_bool @ SV42 @ SY344 ) @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(499,plain,
! [SV43: $i] :
( ( ! [SY345: $i] : ( is_bool @ ( finite520909254iple_a @ SV43 @ SY345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(500,plain,
! [SV44: $i] :
( ( ! [SY346: $i] : ( is_bool @ ( finite1948426435iple_a @ SV44 @ SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(501,plain,
! [SV45: $i] :
( ( ! [SY347: $i] : ( is_bool @ ( hAPP_state_bool @ SV45 @ SY347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(502,plain,
! [SV46: $i] :
( ( ! [SY348: $i] :
( ~ ( is_bool @ SY348 )
| ( is_bool @ ( hAPP_bool_bool @ SV46 @ SY348 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(503,plain,
! [SV47: $i] :
( ( ! [SY349: $i] : ( is_bool @ ( hAPP_H1927961489a_bool @ SV47 @ SY349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(504,plain,
! [SV48: $i] :
( ( ! [SY350: $i] :
( ( semi @ SV48 @ SY350 )
!= skip ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(505,plain,
! [SV49: $i] :
( ( ! [SY351: $i] :
( skip
!= ( semi @ SV49 @ SY351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(506,plain,
! [SV50: $i] :
( ( ! [SY352: $i,SY353: $i,SY354: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV50 @ SY352 @ SY353 ) @ SY354 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY352 ) @ SY353 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV50 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY352 ) @ SY353 ) ) @ SY354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(507,plain,
! [SV51: $i] :
( ( ! [SY355: $i] :
( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV51 ) @ SY355 )
= ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ ( finite388748825iple_a @ SV51 @ SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(508,plain,
! [SV52: $i] :
( ( ( collec1266446174iple_a @ SV52 )
= SV52 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(509,plain,
! [SV53: $i] :
( ( ! [SY356: $i,SY357: $i] :
( ~ ( hBOOL @ ( finite520909254iple_a @ SY356 @ SY357 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV53 ) )
| ( ( hAPP_f1826273671iple_a @ SY357 @ SV53 )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SY356 ) @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(510,plain,
! [SV54: $i] :
( ( ! [SY358: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY358 ) )
| ( SY358 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV54 @ SY358 ) @ ( sK10_X1 @ SY358 @ SV54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(511,plain,
! [SV55: $i] :
( ( ! [SY359: $i,SY360: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY360 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV55 @ SY359 @ SY360 ) @ ( sK7_X1 @ SY360 @ SY359 @ SV55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(512,plain,
! [SV56: $i] :
( ( ! [SY361: $i] :
( ~ ( hBOOL @ SY361 )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SY361 ) @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(513,plain,
! [SV57: $i] :
( ( ! [SY362: $i] :
( ~ ( hBOOL @ SY362 )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV57 ) @ SY362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(514,plain,
! [SV58: $i] :
( ( ! [SY363: $i] :
( ( hBOOL @ SY363 )
| ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV58 ) @ SY363 ) )
| ( hBOOL @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(515,plain,
! [SV59: $i] :
( ( ! [SY364: $i] :
( ( hBOOL @ SY364 )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SY364 ) @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(516,plain,
! [SV60: $i] :
( ( ! [SY365: $i] :
( ~ ( hBOOL @ SY365 )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV60 ) @ SY365 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(517,plain,
! [SV61: $i] :
( ( ! [SY366: $i] :
( ( hBOOL @ SY366 )
| ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV61 ) @ SY366 ) )
| ~ ( hBOOL @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(518,plain,
! [SV62: $i] :
( ( ~ ( is_bool @ SV62 )
| ! [SY367: $i] :
( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ SV62 ) @ SY367 )
= SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(519,plain,
! [SV63: $i] :
( ( ! [SY368: $i,SY369: $i] :
( ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( cOMBB_650444389iple_a @ SV63 ) @ SY368 ) @ SY369 )
= ( hAPP_bool_bool @ SV63 @ ( hAPP_H1927961489a_bool @ SY368 @ SY369 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(520,plain,
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(521,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ bot_bo1687970473a_bool ) ) )
| ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ bot_bo1687970473a_bool ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(522,plain,
! [SV64: $i] :
( ( ! [SY370: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY371: $i,SY372: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY370 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY371 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY372 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY371 )
| ( SV64 = SY372 ) )
| ~ ! [SY373: $i] :
( ! [SY374: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY370 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY373 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY374 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY373 )
| ( SY370 = SY373 ) ) )
| ~ ~ ( ~ ! [SY375: $i,SY376: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY370 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY375 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY376 ) @ bot_bo1687970473a_bool ) ) )
| ( SY370 = SY376 )
| ( SV64 = SY376 ) )
| ~ ! [SY377: $i,SY378: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY370 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY377 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY378 ) @ bot_bo1687970473a_bool ) ) )
| ( SY370 = SY378 )
| ( SY370 = SY377 ) ) ) )
| ~ ~ ( ~ ! [SY379: $i,SY380: $i] :
( ( SV64 != SY379 )
| ( SY370 != SY380 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY370 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY379 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY380 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SY381: $i,SY382: $i] :
( ( SV64 != SY382 )
| ( SY370 != SY381 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY370 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY381 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY382 ) @ bot_bo1687970473a_bool ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(523,plain,
! [SV65: $i] :
( ( ! [SY383: $i,SY384: $i,SY385: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY385 @ ( sK21_Z_1 @ SY385 @ SY384 @ SY383 @ SV65 ) ) @ ( sK22_SY276 @ SY385 @ SY384 @ SY383 @ SV65 ) ) )
| ~ ! [SY386: $i,SY387: $i] :
( ~ ( ~ ! [SY388: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY386 @ SY388 ) @ ( sK22_SY276 @ SY385 @ SY384 @ SY383 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY387 @ SY388 ) @ ( sK23_SY283 @ SY387 @ SY386 @ SY385 @ SY384 @ SY383 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SY385 @ SY384 @ SY383 @ SV65 ) ) @ ( sK23_SY283 @ SY387 @ SY386 @ SY385 @ SY384 @ SY383 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY383 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY386 @ SY384 @ SY387 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY383 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY385 @ SY384 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(524,plain,
! [SV66: $i] :
( ( ~ ( ~ ! [SY389: $i,SY390: $i] :
( ! [SY391: $i,SY392: $i] :
( ! [SY393: $i] :
( ( SY389
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY391 ) @ SY392 ) )
| ( SY390 != SY393 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SY391 @ SY392 ) @ SY393 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY391 ) @ SY392 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SY389 ) @ SY390 ) ) )
| ~ ! [SY394: $i,SY395: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SY394 ) @ SY395 ) )
| ~ ( ~ ~ ( ~ ~ ( ( SY394
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) )
| ( SY395
!= ( sK6_SY271 @ SY395 @ SY394 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) @ ( sK6_SY271 @ SY395 @ SY394 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(525,plain,
! [SV67: $i] :
( ( ! [SY396: $i] :
~ ( ~ ! [SY397: $i,SY398: $i] :
( ( SV67 != SY397 )
| ( SY396 != SY398 )
| ( ( semi @ SV67 @ SY396 )
= ( semi @ SY397 @ SY398 ) ) )
| ~ ~ ( ~ ! [SY399: $i] :
( ! [SY400: $i] :
( ( semi @ SV67 @ SY396 )
!= ( semi @ SY399 @ SY400 ) )
| ( SV67 = SY399 ) )
| ~ ! [SY401: $i,SY402: $i] :
( ( ( semi @ SV67 @ SY396 )
!= ( semi @ SY401 @ SY402 ) )
| ( SY396 = SY402 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(526,plain,
! [SV68: $i] :
( ( ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY403 ) @ SY404 ) ) )
| ( SV68 = SY403 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY404 ) ) )
| ~ ~ ( ~ ! [SY405: $i] :
( ( SV68 != SY405 )
| ! [SY406: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY405 ) @ SY406 ) ) ) )
| ~ ! [SY407: $i,SY408: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY408 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY407 ) @ SY408 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(527,plain,
! [SV69: $i] :
( ( ! [SY409: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SY409 ) )
| ~ ( ( SY409
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV69 ) @ ( sK25_B @ SY409 @ SV69 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ ( sK25_B @ SY409 @ SV69 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(528,plain,
! [SV70: $i] :
( ( ! [SY410: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SY410 ) )
| ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ ( sK16_X_2 @ SY410 @ SV70 ) ) )
| ~ ( ( ( sK16_X_2 @ SY410 @ SV70 )
!= SY410 ) ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SY410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(529,plain,
! [SV71: $i] :
( ( ! [SY411: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY411 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SY411 @ SV71 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SY411 @ SV71 ) ) @ ( sK9_SY272 @ SY411 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SY411 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SY411 @ SV71 ) ) @ ( sK9_SY272 @ SY411 @ SV71 ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SY411 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(530,plain,
( ( ~ ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ bot_bot_bool ) )
| ~ ( ~ ( hBOOL @ bot_bot_bool )
| ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(531,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 = bot_bo1687970473a_bool )
| ~ ( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SX0 ) ) @ ( sK20_SY275 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SX0 ) ) @ ( sK20_SY275 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX2 ) ) )
| ( SX0 != bot_bo1687970473a_bool ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(532,plain,
! [SV72: $i] :
( ( ! [SY412: $i,SY413: $i,SY414: $i,SY415: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY412 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY413 @ SY414 @ SY415 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SY415 @ SY414 @ SY413 @ SY412 @ SV72 ) ) @ ( sK38_SY295 @ SY415 @ SY414 @ SY413 @ SY412 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY413 @ ( sK37_Z_1 @ SY415 @ SY414 @ SY413 @ SY412 @ SV72 ) ) @ ( sK38_SY295 @ SY415 @ SY414 @ SY413 @ SY412 @ SV72 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY412 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SY414 @ SY415 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(533,plain,
! [SV73: $i] :
( ( ! [SY416: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY416 ) )
| ( SY416 = bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SY416 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SY416 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SY416 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SY416 @ SV73 ) ) @ ( sK2_SY268 @ SY416 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SY416 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SY416 @ SV73 ) ) @ ( sK2_SY268 @ SY416 @ SV73 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SY416 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(534,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(535,plain,
( ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK30_X_2 @ SX0 ) ) @ SX0 ) )
| ( SX0 = bot_bo1687970473a_bool ) )
| ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(536,plain,
! [SV74: $i] :
( ( ! [SY417: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( sK13_Y_1 @ SY417 @ SV74 ) ) )
| ~ ( ( ( sK13_Y_1 @ SY417 @ SV74 )
!= SY417 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SY417 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(537,plain,
! [SV75: $i] :
( ( ~ ( ~ ! [SY418: $i,SY419: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY418 ) @ SY419 ) )
| ( SV75 = SY419 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SY418 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY420: $i,SY421: $i] :
( ( SV75 != SY421 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY420 ) @ SY421 ) ) )
| ~ ! [SY422: $i,SY423: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY422 @ SY423 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY422 ) @ SY423 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(538,plain,
! [SV76: $i] :
( ( ! [SY424: $i,SY425: $i,SY426: $i,SY427: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY424 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY425 @ SY426 @ SY427 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY427 @ ( sK39_Z_1 @ SY427 @ SY426 @ SY425 @ SY424 @ SV76 ) ) @ ( sK40_SY296 @ SY427 @ SY426 @ SY425 @ SY424 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SY427 @ SY426 @ SY425 @ SY424 @ SV76 ) ) @ ( sK40_SY296 @ SY427 @ SY426 @ SY425 @ SY424 @ SV76 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY424 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY425 @ SY426 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(539,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) )
| ( SX0 = bot_bo1687970473a_bool )
| ~ ( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SX0 ) ) @ ( sK17_A_1 @ SX0 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ SX1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(540,plain,
! [SV77: $i] :
( ( ~ ( ~ ! [SY428: $i,SY429: $i] :
( ( SY428 != SY429 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY428 ) @ bot_bo1687970473a_bool ) ) @ SY429 ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY430 ) @ bot_bo1687970473a_bool ) ) @ SY431 ) )
| ( SY430 = SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(541,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(542,plain,
! [SV78: $i] :
( ( ! [SY432: $i,SY433: $i,SY434: $i] :
~ ( ~ ! [SY435: $i,SY436: $i] :
( ( SV78 != SY434 )
| ( SY432 != SY435 )
| ( SY433 != SY436 )
| ( ( hoare_1050552211iple_a @ SV78 @ SY432 @ SY433 )
= ( hoare_1050552211iple_a @ SY434 @ SY435 @ SY436 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY437: $i,SY438: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SY432 @ SY433 )
!= ( hoare_1050552211iple_a @ SY434 @ SY437 @ SY438 ) )
| ( SV78 = SY434 ) )
| ~ ! [SY439: $i] :
( ! [SY440: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SY432 @ SY433 )
!= ( hoare_1050552211iple_a @ SY434 @ SY439 @ SY440 ) )
| ( SY432 = SY439 ) ) )
| ~ ! [SY441: $i,SY442: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SY432 @ SY433 )
!= ( hoare_1050552211iple_a @ SY434 @ SY441 @ SY442 ) )
| ( SY433 = SY442 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(543,plain,
! [SV79: $i] :
( ( ~ ( ~ ! [SY443: $i,SY444: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY443 ) @ SY444 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY443 ) @ SV79 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY443 ) @ SY444 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY443 ) @ SV79 ) )
| ( SY444 = SV79 ) )
| ~ ! [SY445: $i,SY446: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY445 ) @ SY446 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY445 ) @ SV79 ) )
| ( SY446 != SV79 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY445 ) @ SY446 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY445 ) @ SV79 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(544,plain,
( ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK33_X_2 @ SX0 ) ) )
| ( ( collec1266446174iple_a @ SX0 )
= bot_bo1687970473a_bool ) )
| ~ ! [SX0: $i] :
( ( ( collec1266446174iple_a @ SX0 )
!= bot_bo1687970473a_bool )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(545,plain,
! [SV80: $i] :
( ( ! [SY447: $i,SY448: $i,SY449: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY447 ) @ SY448 ) ) @ SY449 ) )
| ~ ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY447 ) @ SY448 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SY449 @ SY448 @ SY447 @ SV80 ) ) @ ( sK12_SY273 @ SY449 @ SY448 @ SY447 @ SV80 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SY449 @ SY448 @ SY447 @ SV80 ) @ ( sK12_SY273 @ SY449 @ SY448 @ SY447 @ SV80 ) ) @ SY449 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SY449 @ SY448 @ SY447 @ SV80 ) ) @ ( sK12_SY273 @ SY449 @ SY448 @ SY447 @ SV80 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(546,plain,
! [SV81: $i] :
( ( ! [SY450: $i] :
( ! [SY451: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY450 @ ( sK14_Y_1 @ SY451 @ SY450 @ SV81 ) ) )
| ~ ( ( ( sK14_Y_1 @ SY451 @ SY450 @ SV81 )
!= SY451 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY450 @ SY451 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY450 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SY450 )
= SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(547,plain,
( ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK32_X_2 @ SX0 ) ) )
| ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( bot_bo1687970473a_bool
!= ( collec1266446174iple_a @ SX0 ) )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(548,plain,
! [SV82: $i] :
( ( ! [SY452: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SY452 ) )
| ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( sK15_X_2 @ SY452 @ SV82 ) ) )
| ~ ( ( ( sK15_X_2 @ SY452 @ SV82 )
!= SY452 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(549,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK31_X_2 @ SX0 ) ) @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) )
| ( SX0 != bot_bo1687970473a_bool ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(550,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(551,plain,
( ( ~ ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ bot_bot_bool ) )
| ~ ( ~ ( hBOOL @ bot_bot_bool )
| ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(552,plain,
! [SV83: $i] :
( ( ~ ( ~ ! [SY453: $i,SY454: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY453 ) @ SY454 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY453 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY454 ) ) ) )
| ~ ! [SY455: $i] :
( ( SY455 != SV83 )
| ! [SY456: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY455 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY456 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(553,plain,
! [SV84: $i] :
( ( ! [SY457: $i,SY458: $i,SY459: $i,SY460: $i,SY461: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY458 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY459 @ SY460 @ SY461 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY457 @ ( sK34_Z_1 @ SY461 @ SY460 @ SY459 @ SY458 @ SY457 @ SV84 ) ) @ ( sK35_SY289 @ SY461 @ SY460 @ SY459 @ SY458 @ SY457 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY462: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY459 @ SY462 ) @ ( sK35_SY289 @ SY461 @ SY460 @ SY459 @ SY458 @ SY457 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY461 @ SY462 ) @ ( sK36_SY292 @ SY461 @ SY460 @ SY459 @ SY458 @ SY457 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SY461 @ SY460 @ SY459 @ SY458 @ SY457 @ SV84 ) ) @ ( sK36_SY292 @ SY461 @ SY460 @ SY459 @ SY458 @ SY457 @ SV84 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY458 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY457 @ SY460 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(554,plain,
! [SV85: $i] :
( ( ! [SY463: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SY463 ) )
| ~ ( ( SY463
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV85 ) @ ( sK26_B @ SY463 @ SV85 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ ( sK26_B @ SY463 @ SV85 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(555,plain,
! [SV86: $i,SV1: $i] :
( ( is_bool @ ( hAPP_f1753944735l_bool @ SV1 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(556,plain,
! [SV3: $i,SV87: $i] :
( ( ! [SY464: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV87 ) @ SY464 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV87 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SY464 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(557,plain,
! [SV4: $i,SV88: $i] :
( ( ! [SY465: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY465 ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ SV4 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY465 ) @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(558,plain,
! [SV89: $i,SV5: $i] :
( ( ! [SY466: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV89 ) @ SY466 ) ) )
| ( SV5 = SV89 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ SY466 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(559,plain,
! [SV6: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV6 ) @ bot_bo1687970473a_bool ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(560,plain,
! [SV7: $i,SV90: $i] :
( ( ( SV90 != bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV7 ) @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(561,plain,
! [SV8: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV8 ) @ bot_bo1687970473a_bool ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(562,plain,
! [SV91: $i,SV9: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV9 ) @ SV91 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV9 ) @ SV91 )
= SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(563,plain,
! [SV10: $i,SV92: $i] :
( ( ! [SY467: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV92 ) @ SY467 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV92 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV10 ) @ SY467 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(564,plain,
! [SV93: $i,SV11: $i] :
( ( ! [SY468: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV11 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV93 ) @ SY468 ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV93 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV11 ) @ SY468 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(565,plain,
! [SV94: $i,SV12: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV12 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV12 ) @ SV94 ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV12 ) @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(566,plain,
! [SV95: $i,SV13: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV13 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV13 ) @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(567,plain,
! [SV96: $i,SV14: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV14 ) @ bot_bo1687970473a_bool )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV96 ) @ bot_bo1687970473a_bool ) )
| ( SV14 = SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(568,plain,
! [SV97: $i,SV15: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV15 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV97 ) @ bot_bo1687970473a_bool ) ) )
| ( SV15 = SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(569,plain,
! [SV98: $i,SV16: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV16 ) @ SV98 )
!= bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(570,plain,
! [SV99: $i,SV17: $i] :
( ( ( bot_bo1687970473a_bool
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV17 ) @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(571,plain,
! [SV100: $i,SV19: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV19 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV100 @ skip @ SV100 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(572,plain,
! [SV101: $i,SV20: $i] :
( ( ! [SY469: $i,SY470: $i,SY471: $i,SY472: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY469 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY470 @ SY471 @ SY472 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY469 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY472 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY469 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY470 @ ( semi @ SY471 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(573,plain,
! [SV22: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK24_Y_1 @ SV22 ) ) @ SV22 ) )
= $true )
| ( ( SV22 = bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(574,plain,
! [SV23: $i,SV102: $i] :
( ( ! [SY473: $i] :
( ~ ( hBOOL @ ( finite520909254iple_a @ SV102 @ SY473 ) )
| ( ( hAPP_f1826273671iple_a @ SY473 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV23 ) @ bot_bo1687970473a_bool ) )
= SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(575,plain,
! [SV103: $i,SV24: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV24 @ bot_bo1687970473a_bool ) @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(576,plain,
! [SV104: $i,SV25: $i] :
( ( ! [SY474: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV25 @ SV104 ) @ SY474 ) )
| ( SV104 != bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(577,plain,
! [SV26: $i,SV105: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV105 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV26 ) @ SV105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(578,plain,
! [SV106: $i,SV27: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV27 @ SV106 @ bot_bo1687970473a_bool ) @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(579,plain,
! [SV107: $i,SV28: $i] :
( ( ! [SY475: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV28 @ SV107 @ bot_bo1687970473a_bool ) @ SY475 ) )
| ( SY475 = SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(580,plain,
! [SV29: $i,SV108: $i] :
( ( ! [SY476: $i] :
( SV108
!= ( finite233325225iple_a @ SY476 ) )
| ( ( hAPP_f1826273671iple_a @ SV108 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV29 ) @ bot_bo1687970473a_bool ) )
= SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(581,plain,
! [SV109: $i,SV30: $i] :
( ( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV30 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV109 ) @ bot_bo1687970473a_bool ) )
= SV109 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(582,plain,
! [SV31: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV31 ) ) )
= $true )
| ( ( ~ ( hBOOL @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(583,plain,
! [SV32: $i] :
( ( ( hBOOL @ SV32 )
= $true )
| ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(584,plain,
! [SV33: $i,SV110: $i] :
( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV110 ) @ SV33 ) )
| ~ ( hBOOL @ SV110 )
| ~ ( hBOOL @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(585,plain,
! [SV34: $i] :
( ( ( ! [SY335: $i] :
~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV34 ) @ SY335 ) ) )
= $true )
| ( ( hBOOL @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(586,plain,
! [SV111: $i,SV35: $i] :
( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV35 ) @ SV111 ) )
| ( hBOOL @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(587,plain,
! [SV36: $i] :
( ( ( ~ ( is_bool @ SV36 ) )
= $true )
| ( ( ( SV36 = fTrue )
| ( SV36 = fFalse ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(588,plain,
! [SV37: $i] :
( ( ( ~ ( is_bool @ SV37 ) )
= $true )
| ( ( ! [SY337: $i] :
( ( hAPP_state_bool @ ( cOMBK_bool_state @ SV37 ) @ SY337 )
= SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(589,plain,
! [SV112: $i,SV38: $i] :
( ( ( hAPP_a2036067514e_bool @ ( cOMBK_1458035955bool_a @ SV38 ) @ SV112 )
= SV38 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(590,plain,
! [SV113: $i,SV39: $i] :
( ( ! [SY477: $i] :
( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ SV39 ) @ SV113 ) @ SY477 )
= ( hAPP_bool_bool @ SV39 @ ( hAPP_state_bool @ SV113 @ SY477 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(591,plain,
! [SV114: $i,SV40: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ SV40 ) @ SV114 ) )
| ( SV40 = SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(592,plain,
! [SV115: $i,SV41: $i] :
( ( ( SV41 != SV115 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ SV41 ) @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(593,plain,
! [SV116: $i,SV42: $i] :
( ( ! [SY478: $i] :
( ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ SV42 ) @ SV116 ) @ SY478 )
= ( hAPP_f1759915619e_bool @ ( hAPP_a1200519163e_bool @ SV42 @ SY478 ) @ SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(594,plain,
! [SV117: $i,SV43: $i] :
( ( is_bool @ ( finite520909254iple_a @ SV43 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(595,plain,
! [SV118: $i,SV44: $i] :
( ( is_bool @ ( finite1948426435iple_a @ SV44 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(596,plain,
! [SV119: $i,SV45: $i] :
( ( is_bool @ ( hAPP_state_bool @ SV45 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(597,plain,
! [SV46: $i,SV120: $i] :
( ( ~ ( is_bool @ SV120 )
| ( is_bool @ ( hAPP_bool_bool @ SV46 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(598,plain,
! [SV121: $i,SV47: $i] :
( ( is_bool @ ( hAPP_H1927961489a_bool @ SV47 @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(599,plain,
! [SV122: $i,SV48: $i] :
( ( ( ( semi @ SV48 @ SV122 )
!= skip ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(600,plain,
! [SV123: $i,SV49: $i] :
( ( ( skip
!= ( semi @ SV49 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(601,plain,
! [SV124: $i,SV50: $i] :
( ( ! [SY479: $i,SY480: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV50 @ SV124 @ SY479 ) @ SY480 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV124 ) @ SY479 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV50 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV124 ) @ SY479 ) ) @ SY480 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(602,plain,
! [SV125: $i,SV51: $i] :
( ( ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV51 ) @ SV125 )
= ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ ( finite388748825iple_a @ SV51 @ SV125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(603,plain,
! [SV53: $i,SV126: $i] :
( ( ! [SY481: $i] :
( ~ ( hBOOL @ ( finite520909254iple_a @ SV126 @ SY481 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV53 ) )
| ( ( hAPP_f1826273671iple_a @ SY481 @ SV53 )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV126 ) @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(604,plain,
! [SV54: $i,SV127: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV127 ) )
| ( SV127 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV54 @ SV127 ) @ ( sK10_X1 @ SV127 @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(605,plain,
! [SV128: $i,SV55: $i] :
( ( ! [SY482: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY482 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV55 @ SV128 @ SY482 ) @ ( sK7_X1 @ SY482 @ SV128 @ SV55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(606,plain,
! [SV56: $i,SV129: $i] :
( ( ~ ( hBOOL @ SV129 )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV129 ) @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(607,plain,
! [SV57: $i,SV130: $i] :
( ( ~ ( hBOOL @ SV130 )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV57 ) @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(608,plain,
! [SV58: $i,SV131: $i] :
( ( ( hBOOL @ SV131 )
| ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV58 ) @ SV131 ) )
| ( hBOOL @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(609,plain,
! [SV59: $i,SV132: $i] :
( ( ( hBOOL @ SV132 )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV132 ) @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(610,plain,
! [SV60: $i,SV133: $i] :
( ( ~ ( hBOOL @ SV133 )
| ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV60 ) @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(611,plain,
! [SV61: $i,SV134: $i] :
( ( ( hBOOL @ SV134 )
| ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV61 ) @ SV134 ) )
| ~ ( hBOOL @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(612,plain,
! [SV62: $i] :
( ( ( ~ ( is_bool @ SV62 ) )
= $true )
| ( ( ! [SY367: $i] :
( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ SV62 ) @ SY367 )
= SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(613,plain,
! [SV135: $i,SV63: $i] :
( ( ! [SY483: $i] :
( ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( cOMBB_650444389iple_a @ SV63 ) @ SV135 ) @ SY483 )
= ( hAPP_bool_bool @ SV63 @ ( hAPP_H1927961489a_bool @ SV135 @ SY483 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(614,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ bot_bo1687970473a_bool ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(615,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ bot_bo1687970473a_bool ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(616,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) )
| ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) )
| ~ ~ ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) )
| ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) ) )
| ~ ~ ( ~ ! [SY492: $i,SY493: $i] :
( ( SV64 != SY492 )
| ( SV136 != SY493 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY492 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY493 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SY494: $i,SY495: $i] :
( ( SV64 != SY495 )
| ( SV136 != SY494 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY494 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY495 ) @ bot_bo1687970473a_bool ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(617,plain,
! [SV65: $i,SV137: $i] :
( ( ! [SY496: $i,SY497: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY497 @ ( sK21_Z_1 @ SY497 @ SY496 @ SV137 @ SV65 ) ) @ ( sK22_SY276 @ SY497 @ SY496 @ SV137 @ SV65 ) ) )
| ~ ! [SY498: $i,SY499: $i] :
( ~ ( ~ ! [SY500: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY498 @ SY500 ) @ ( sK22_SY276 @ SY497 @ SY496 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY499 @ SY500 ) @ ( sK23_SY283 @ SY499 @ SY498 @ SY497 @ SY496 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SY497 @ SY496 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SY499 @ SY498 @ SY497 @ SY496 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY498 @ SY496 @ SY499 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY497 @ SY496 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(618,plain,
! [SV66: $i] :
( ( ~ ! [SY389: $i,SY390: $i] :
( ! [SY391: $i,SY392: $i] :
( ! [SY393: $i] :
( ( SY389
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY391 ) @ SY392 ) )
| ( SY390 != SY393 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SY391 @ SY392 ) @ SY393 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY391 ) @ SY392 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SY389 ) @ SY390 ) ) )
| ~ ! [SY394: $i,SY395: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SY394 ) @ SY395 ) )
| ~ ( ~ ~ ( ~ ~ ( ( SY394
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) )
| ( SY395
!= ( sK6_SY271 @ SY395 @ SY394 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) @ ( sK6_SY271 @ SY395 @ SY394 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(619,plain,
! [SV138: $i,SV67: $i] :
( ( ~ ( ~ ! [SY501: $i,SY502: $i] :
( ( SV67 != SY501 )
| ( SV138 != SY502 )
| ( ( semi @ SV67 @ SV138 )
= ( semi @ SY501 @ SY502 ) ) )
| ~ ~ ( ~ ! [SY503: $i] :
( ! [SY504: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SY503 @ SY504 ) )
| ( SV67 = SY503 ) )
| ~ ! [SY505: $i,SY506: $i] :
( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SY505 @ SY506 ) )
| ( SV138 = SY506 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(620,plain,
! [SV68: $i] :
( ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY403 ) @ SY404 ) ) )
| ( SV68 = SY403 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY404 ) ) )
| ~ ~ ( ~ ! [SY405: $i] :
( ( SV68 != SY405 )
| ! [SY406: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY405 ) @ SY406 ) ) ) )
| ~ ! [SY407: $i,SY408: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY408 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY407 ) @ SY408 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(621,plain,
! [SV139: $i,SV69: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) )
| ~ ( ( SV139
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(622,plain,
! [SV140: $i,SV70: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
| ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ ( sK16_X_2 @ SV140 @ SV70 ) ) )
| ~ ( ( ( sK16_X_2 @ SV140 @ SV70 )
!= SV140 ) ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(623,plain,
! [SV71: $i,SV141: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(624,plain,
( ( ~ ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ bot_bot_bool ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(625,plain,
( ( ~ ( ~ ( hBOOL @ bot_bot_bool )
| ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(626,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 = bot_bo1687970473a_bool )
| ~ ( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SX0 ) ) @ ( sK20_SY275 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SX0 ) ) @ ( sK20_SY275 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(627,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX2 ) ) )
| ( SX0 != bot_bo1687970473a_bool ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(628,plain,
! [SV72: $i,SV142: $i] :
( ( ! [SY507: $i,SY508: $i,SY509: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY507 @ SY508 @ SY509 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SY509 @ SY508 @ SY507 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SY509 @ SY508 @ SY507 @ SV142 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY507 @ ( sK37_Z_1 @ SY509 @ SY508 @ SY507 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SY509 @ SY508 @ SY507 @ SV142 @ SV72 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SY508 @ SY509 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(629,plain,
! [SV73: $i,SV143: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
| ( SV143 = bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(630,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(631,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(632,plain,
( ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK30_X_2 @ SX0 ) ) @ SX0 ) )
| ( SX0 = bot_bo1687970473a_bool ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(633,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(634,plain,
! [SV74: $i] :
( ( ( ! [SY417: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( sK13_Y_1 @ SY417 @ SV74 ) ) )
| ~ ( ( ( sK13_Y_1 @ SY417 @ SV74 )
!= SY417 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SY417 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(635,plain,
! [SV75: $i] :
( ( ~ ! [SY418: $i,SY419: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY418 ) @ SY419 ) )
| ( SV75 = SY419 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SY418 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY420: $i,SY421: $i] :
( ( SV75 != SY421 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY420 ) @ SY421 ) ) )
| ~ ! [SY422: $i,SY423: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY422 @ SY423 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY422 ) @ SY423 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(636,plain,
! [SV76: $i,SV144: $i] :
( ( ! [SY510: $i,SY511: $i,SY512: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY510 @ SY511 @ SY512 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY512 @ ( sK39_Z_1 @ SY512 @ SY511 @ SY510 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SY512 @ SY511 @ SY510 @ SV144 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SY512 @ SY511 @ SY510 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SY512 @ SY511 @ SY510 @ SV144 @ SV76 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY510 @ SY511 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(637,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) )
| ( SX0 = bot_bo1687970473a_bool )
| ~ ( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SX0 ) ) @ ( sK17_A_1 @ SX0 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(638,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ SX1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(639,plain,
! [SV77: $i] :
( ( ~ ! [SY428: $i,SY429: $i] :
( ( SY428 != SY429 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY428 ) @ bot_bo1687970473a_bool ) ) @ SY429 ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY430 ) @ bot_bo1687970473a_bool ) ) @ SY431 ) )
| ( SY430 = SY431 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(640,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(641,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(642,plain,
! [SV145: $i,SV78: $i] :
( ( ! [SY513: $i,SY514: $i] :
~ ( ~ ! [SY515: $i,SY516: $i] :
( ( SV78 != SY514 )
| ( SV145 != SY515 )
| ( SY513 != SY516 )
| ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SY513 )
= ( hoare_1050552211iple_a @ SY514 @ SY515 @ SY516 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY517: $i,SY518: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SY513 )
!= ( hoare_1050552211iple_a @ SY514 @ SY517 @ SY518 ) )
| ( SV78 = SY514 ) )
| ~ ! [SY519: $i] :
( ! [SY520: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SY513 )
!= ( hoare_1050552211iple_a @ SY514 @ SY519 @ SY520 ) )
| ( SV145 = SY519 ) ) )
| ~ ! [SY521: $i,SY522: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SY513 )
!= ( hoare_1050552211iple_a @ SY514 @ SY521 @ SY522 ) )
| ( SY513 = SY522 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(643,plain,
! [SV79: $i] :
( ( ~ ! [SY443: $i,SY444: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY443 ) @ SY444 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY443 ) @ SV79 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY443 ) @ SY444 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY443 ) @ SV79 ) )
| ( SY444 = SV79 ) )
| ~ ! [SY445: $i,SY446: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY445 ) @ SY446 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY445 ) @ SV79 ) )
| ( SY446 != SV79 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY445 ) @ SY446 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY445 ) @ SV79 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(644,plain,
( ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK33_X_2 @ SX0 ) ) )
| ( ( collec1266446174iple_a @ SX0 )
= bot_bo1687970473a_bool ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(645,plain,
( ( ~ ! [SX0: $i] :
( ( ( collec1266446174iple_a @ SX0 )
!= bot_bo1687970473a_bool )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(646,plain,
! [SV146: $i,SV80: $i] :
( ( ! [SY523: $i,SY524: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SY523 ) ) @ SY524 ) )
| ~ ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SY523 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SY524 @ SY523 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SY524 @ SY523 @ SV146 @ SV80 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SY524 @ SY523 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SY524 @ SY523 @ SV146 @ SV80 ) ) @ SY524 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SY524 @ SY523 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SY524 @ SY523 @ SV146 @ SV80 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(647,plain,
! [SV81: $i,SV147: $i] :
( ( ! [SY525: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SY525 @ SV147 @ SV81 ) ) )
| ~ ( ( ( sK14_Y_1 @ SY525 @ SV147 @ SV81 )
!= SY525 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SY525 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(648,plain,
( ( ~ ! [SX0: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK32_X_2 @ SX0 ) ) )
| ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(649,plain,
( ( ~ ! [SX0: $i] :
( ( bot_bo1687970473a_bool
!= ( collec1266446174iple_a @ SX0 ) )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(650,plain,
! [SV148: $i,SV82: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
| ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( sK15_X_2 @ SV148 @ SV82 ) ) )
| ~ ( ( ( sK15_X_2 @ SV148 @ SV82 )
!= SV148 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(651,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK31_X_2 @ SX0 ) ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(652,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) )
| ( SX0 != bot_bo1687970473a_bool ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(653,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(654,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(655,plain,
( ( ~ ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ bot_bot_bool ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(656,plain,
( ( ~ ( ~ ( hBOOL @ bot_bot_bool )
| ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(657,plain,
! [SV83: $i] :
( ( ~ ! [SY453: $i,SY454: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY453 ) @ SY454 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY453 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY454 ) ) ) )
| ~ ! [SY455: $i] :
( ( SY455 != SV83 )
| ! [SY456: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY455 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY456 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(658,plain,
! [SV84: $i,SV149: $i] :
( ( ! [SY526: $i,SY527: $i,SY528: $i,SY529: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY526 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY527 @ SY528 @ SY529 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SY529 @ SY528 @ SY527 @ SY526 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SY529 @ SY528 @ SY527 @ SY526 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY530: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY527 @ SY530 ) @ ( sK35_SY289 @ SY529 @ SY528 @ SY527 @ SY526 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY529 @ SY530 ) @ ( sK36_SY292 @ SY529 @ SY528 @ SY527 @ SY526 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SY529 @ SY528 @ SY527 @ SY526 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SY529 @ SY528 @ SY527 @ SY526 @ SV149 @ SV84 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SY526 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SY528 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(659,plain,
! [SV150: $i,SV85: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) )
| ~ ( ( SV150
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(660,plain,
! [SV3: $i,SV151: $i,SV87: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV87 ) @ SV151 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV87 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(661,plain,
! [SV4: $i,SV152: $i,SV88: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ SV4 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(662,plain,
! [SV153: $i,SV89: $i,SV5: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV89 ) @ SV153 ) ) )
| ( SV5 = SV89 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(663,plain,
! [SV7: $i,SV90: $i] :
( ( ( ( SV90 != bot_bo1687970473a_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV7 ) @ SV90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(664,plain,
! [SV91: $i,SV9: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV9 ) @ SV91 ) ) )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV9 ) @ SV91 )
= SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(665,plain,
! [SV10: $i,SV154: $i,SV92: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV92 ) @ SV154 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV92 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV10 ) @ SV154 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(666,plain,
! [SV155: $i,SV93: $i,SV11: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV11 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV93 ) @ SV155 ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV93 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV11 ) @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(667,plain,
! [SV96: $i,SV14: $i] :
( ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV14 ) @ bot_bo1687970473a_bool )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV96 ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( SV14 = SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(668,plain,
! [SV97: $i,SV15: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV15 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV97 ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( SV15 = SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(669,plain,
! [SV98: $i,SV16: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV16 ) @ SV98 )
= bot_bo1687970473a_bool )
= $false ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(670,plain,
! [SV99: $i,SV17: $i] :
( ( bot_bo1687970473a_bool
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV17 ) @ SV99 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(671,plain,
! [SV101: $i,SV20: $i,SV156: $i] :
( ( ! [SY531: $i,SY532: $i,SY533: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY531 @ SY532 @ SY533 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY533 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY531 @ ( semi @ SY532 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(672,plain,
! [SV23: $i,SV157: $i,SV102: $i] :
( ( ~ ( hBOOL @ ( finite520909254iple_a @ SV102 @ SV157 ) )
| ( ( hAPP_f1826273671iple_a @ SV157 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV23 ) @ bot_bo1687970473a_bool ) )
= SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(673,plain,
! [SV103: $i,SV24: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV24 @ bot_bo1687970473a_bool ) @ SV103 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(674,plain,
! [SV104: $i,SV25: $i] :
( ( ( ! [SY474: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV25 @ SV104 ) @ SY474 ) ) )
= $true )
| ( ( ( SV104 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(675,plain,
! [SV26: $i,SV105: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV105 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV26 ) @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(676,plain,
! [SV158: $i,SV107: $i,SV28: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV28 @ SV107 @ bot_bo1687970473a_bool ) @ SV158 ) )
| ( SV158 = SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(677,plain,
! [SV29: $i,SV108: $i] :
( ( ( ! [SY476: $i] :
( SV108
!= ( finite233325225iple_a @ SY476 ) ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ SV108 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV29 ) @ bot_bo1687970473a_bool ) )
= SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(678,plain,
! [SV31: $i] :
( ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV31 ) )
= $false )
| ( ( ~ ( hBOOL @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(679,plain,
! [SV33: $i,SV110: $i] :
( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV110 ) @ SV33 ) )
= $true )
| ( ( ~ ( hBOOL @ SV110 )
| ~ ( hBOOL @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(680,plain,
! [SV159: $i,SV34: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV34 ) @ SV159 ) ) )
= $true )
| ( ( hBOOL @ SV34 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(681,plain,
! [SV111: $i,SV35: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV35 ) @ SV111 ) ) )
= $true )
| ( ( hBOOL @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(682,plain,
! [SV36: $i] :
( ( ( is_bool @ SV36 )
= $false )
| ( ( ( SV36 = fTrue )
| ( SV36 = fFalse ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(683,plain,
! [SV37: $i] :
( ( ( is_bool @ SV37 )
= $false )
| ( ( ! [SY337: $i] :
( ( hAPP_state_bool @ ( cOMBK_bool_state @ SV37 ) @ SY337 )
= SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(684,plain,
! [SV160: $i,SV113: $i,SV39: $i] :
( ( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ SV39 ) @ SV113 ) @ SV160 )
= ( hAPP_bool_bool @ SV39 @ ( hAPP_state_bool @ SV113 @ SV160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(685,plain,
! [SV114: $i,SV40: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ SV40 ) @ SV114 ) ) )
= $true )
| ( ( SV40 = SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(686,plain,
! [SV115: $i,SV41: $i] :
( ( ( ( SV41 != SV115 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ SV41 ) @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(687,plain,
! [SV161: $i,SV116: $i,SV42: $i] :
( ( ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ SV42 ) @ SV116 ) @ SV161 )
= ( hAPP_f1759915619e_bool @ ( hAPP_a1200519163e_bool @ SV42 @ SV161 ) @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(688,plain,
! [SV46: $i,SV120: $i] :
( ( ( ~ ( is_bool @ SV120 ) )
= $true )
| ( ( is_bool @ ( hAPP_bool_bool @ SV46 @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(689,plain,
! [SV122: $i,SV48: $i] :
( ( ( semi @ SV48 @ SV122 )
= skip )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(690,plain,
! [SV123: $i,SV49: $i] :
( ( skip
= ( semi @ SV49 @ SV123 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(691,plain,
! [SV162: $i,SV124: $i,SV50: $i] :
( ( ! [SY534: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV50 @ SV124 @ SV162 ) @ SY534 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV124 ) @ SV162 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV50 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV124 ) @ SV162 ) ) @ SY534 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(692,plain,
! [SV53: $i,SV163: $i,SV126: $i] :
( ( ~ ( hBOOL @ ( finite520909254iple_a @ SV126 @ SV163 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV53 ) )
| ( ( hAPP_f1826273671iple_a @ SV163 @ SV53 )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV126 ) @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(693,plain,
! [SV54: $i,SV127: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV127 ) ) )
= $true )
| ( ( ( SV127 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV54 @ SV127 ) @ ( sK10_X1 @ SV127 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(694,plain,
! [SV128: $i,SV55: $i,SV164: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV164 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV55 @ SV128 @ SV164 ) @ ( sK7_X1 @ SV164 @ SV128 @ SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(695,plain,
! [SV56: $i,SV129: $i] :
( ( ( ~ ( hBOOL @ SV129 ) )
= $true )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV129 ) @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(696,plain,
! [SV57: $i,SV130: $i] :
( ( ( ~ ( hBOOL @ SV130 ) )
= $true )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV57 ) @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(697,plain,
! [SV58: $i,SV131: $i] :
( ( ( hBOOL @ SV131 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV58 ) @ SV131 ) )
| ( hBOOL @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(698,plain,
! [SV59: $i,SV132: $i] :
( ( ( hBOOL @ SV132 )
= $true )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV132 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(699,plain,
! [SV60: $i,SV133: $i] :
( ( ( ~ ( hBOOL @ SV133 ) )
= $true )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV60 ) @ SV133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(700,plain,
! [SV61: $i,SV134: $i] :
( ( ( hBOOL @ SV134 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV61 ) @ SV134 ) )
| ~ ( hBOOL @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(701,plain,
! [SV62: $i] :
( ( ( is_bool @ SV62 )
= $false )
| ( ( ! [SY367: $i] :
( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ SV62 ) @ SY367 )
= SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(702,plain,
! [SV165: $i,SV135: $i,SV63: $i] :
( ( ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( cOMBB_650444389iple_a @ SV63 ) @ SV135 ) @ SV165 )
= ( hAPP_bool_bool @ SV63 @ ( hAPP_H1927961489a_bool @ SV135 @ SV165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(703,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(704,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ bot_bo1687970473a_bool ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(705,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) )
| ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) )
| ~ ~ ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) )
| ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) ) )
| ~ ~ ( ~ ! [SY492: $i,SY493: $i] :
( ( SV64 != SY492 )
| ( SV136 != SY493 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY492 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY493 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SY494: $i,SY495: $i] :
( ( SV64 != SY495 )
| ( SV136 != SY494 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY494 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY495 ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(706,plain,
! [SV65: $i,SV137: $i,SV166: $i] :
( ( ! [SY535: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY535 @ ( sK21_Z_1 @ SY535 @ SV166 @ SV137 @ SV65 ) ) @ ( sK22_SY276 @ SY535 @ SV166 @ SV137 @ SV65 ) ) )
| ~ ! [SY536: $i,SY537: $i] :
( ~ ( ~ ! [SY538: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY536 @ SY538 ) @ ( sK22_SY276 @ SY535 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY537 @ SY538 ) @ ( sK23_SY283 @ SY537 @ SY536 @ SY535 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SY535 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SY537 @ SY536 @ SY535 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY536 @ SV166 @ SY537 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY535 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(707,plain,
! [SV66: $i] :
( ( ~ ! [SY389: $i,SY390: $i] :
( ! [SY391: $i,SY392: $i] :
( ! [SY393: $i] :
( ( SY389
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY391 ) @ SY392 ) )
| ( SY390 != SY393 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SY391 @ SY392 ) @ SY393 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY391 ) @ SY392 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SY389 ) @ SY390 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(708,plain,
! [SV66: $i] :
( ( ~ ! [SY394: $i,SY395: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SY394 ) @ SY395 ) )
| ~ ( ~ ~ ( ~ ~ ( ( SY394
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) )
| ( SY395
!= ( sK6_SY271 @ SY395 @ SY394 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) @ ( sK6_SY271 @ SY395 @ SY394 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(709,plain,
! [SV138: $i,SV67: $i] :
( ( ~ ! [SY501: $i,SY502: $i] :
( ( SV67 != SY501 )
| ( SV138 != SY502 )
| ( ( semi @ SV67 @ SV138 )
= ( semi @ SY501 @ SY502 ) ) )
| ~ ~ ( ~ ! [SY503: $i] :
( ! [SY504: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SY503 @ SY504 ) )
| ( SV67 = SY503 ) )
| ~ ! [SY505: $i,SY506: $i] :
( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SY505 @ SY506 ) )
| ( SV138 = SY506 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(710,plain,
! [SV68: $i] :
( ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY403 ) @ SY404 ) ) )
| ( SV68 = SY403 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY404 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(711,plain,
! [SV68: $i] :
( ( ~ ~ ( ~ ! [SY405: $i] :
( ( SV68 != SY405 )
| ! [SY406: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY405 ) @ SY406 ) ) ) )
| ~ ! [SY407: $i,SY408: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY408 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY407 ) @ SY408 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(712,plain,
! [SV139: $i,SV69: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) ) )
= $true )
| ( ( ~ ( ( SV139
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(713,plain,
! [SV140: $i,SV70: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ ( sK16_X_2 @ SV140 @ SV70 ) ) )
| ~ ( ( ( sK16_X_2 @ SV140 @ SV70 )
!= SV140 ) ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(714,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(715,plain,
( ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ bot_bot_bool ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(716,plain,
( ( ~ ( hBOOL @ bot_bot_bool )
| ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(717,plain,
( ( ! [SX0: $i] :
( ( SX0 = bot_bo1687970473a_bool )
| ~ ( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SX0 ) ) @ ( sK20_SY275 @ SX0 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SX0 ) ) @ ( sK20_SY275 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(718,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX2 ) ) )
| ( SX0 != bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(719,plain,
! [SV72: $i,SV167: $i,SV142: $i] :
( ( ! [SY539: $i,SY540: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SY539 @ SY540 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SY540 @ SY539 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SY540 @ SY539 @ SV167 @ SV142 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SY540 @ SY539 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SY540 @ SY539 @ SV167 @ SV142 @ SV72 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SY539 @ SY540 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(720,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) ) )
= $true )
| ( ( ( SV143 = bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(721,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(722,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(723,plain,
( ( ! [SX0: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK30_X_2 @ SX0 ) ) @ SX0 ) )
| ( SX0 = bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(724,plain,
( ( ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(725,plain,
! [SV168: $i,SV74: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( sK13_Y_1 @ SV168 @ SV74 ) ) )
| ~ ( ( ( sK13_Y_1 @ SV168 @ SV74 )
!= SV168 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(726,plain,
! [SV75: $i] :
( ( ~ ! [SY418: $i,SY419: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY418 ) @ SY419 ) )
| ( SV75 = SY419 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SY418 @ SY419 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(727,plain,
! [SV75: $i] :
( ( ~ ~ ( ~ ! [SY420: $i,SY421: $i] :
( ( SV75 != SY421 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY420 ) @ SY421 ) ) )
| ~ ! [SY422: $i,SY423: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY422 @ SY423 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY422 ) @ SY423 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(728,plain,
! [SV76: $i,SV169: $i,SV144: $i] :
( ( ! [SY541: $i,SY542: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SY541 @ SY542 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY542 @ ( sK39_Z_1 @ SY542 @ SY541 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SY542 @ SY541 @ SV169 @ SV144 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SY542 @ SY541 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SY542 @ SY541 @ SV169 @ SV144 @ SV76 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SY541 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(729,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) )
| ( SX0 = bot_bo1687970473a_bool )
| ~ ( ( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SX0 ) ) @ ( sK17_A_1 @ SX0 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(730,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ SX1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(731,plain,
! [SV77: $i] :
( ( ~ ! [SY428: $i,SY429: $i] :
( ( SY428 != SY429 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY428 ) @ bot_bo1687970473a_bool ) ) @ SY429 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[639]) ).
thf(732,plain,
! [SV77: $i] :
( ( ~ ! [SY430: $i,SY431: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY430 ) @ bot_bo1687970473a_bool ) ) @ SY431 ) )
| ( SY430 = SY431 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[639]) ).
thf(733,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(734,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX1 ) @ bot_bo1687970473a_bool ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(735,plain,
! [SV170: $i,SV145: $i,SV78: $i] :
( ( ! [SY543: $i] :
~ ( ~ ! [SY544: $i,SY545: $i] :
( ( SV78 != SY543 )
| ( SV145 != SY544 )
| ( SV170 != SY545 )
| ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SY543 @ SY544 @ SY545 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY546: $i,SY547: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SY543 @ SY546 @ SY547 ) )
| ( SV78 = SY543 ) )
| ~ ! [SY548: $i] :
( ! [SY549: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SY543 @ SY548 @ SY549 ) )
| ( SV145 = SY548 ) ) )
| ~ ! [SY550: $i,SY551: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SY543 @ SY550 @ SY551 ) )
| ( SV170 = SY551 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(736,plain,
! [SV79: $i] :
( ( ~ ! [SY443: $i,SY444: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY443 ) @ SY444 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY443 ) @ SV79 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY443 ) @ SY444 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY443 ) @ SV79 ) )
| ( SY444 = SV79 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(737,plain,
! [SV79: $i] :
( ( ~ ! [SY445: $i,SY446: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY445 ) @ SY446 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY445 ) @ SV79 ) )
| ( SY446 != SV79 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY445 ) @ SY446 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY445 ) @ SV79 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(738,plain,
( ( ! [SX0: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK33_X_2 @ SX0 ) ) )
| ( ( collec1266446174iple_a @ SX0 )
= bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(739,plain,
( ( ! [SX0: $i] :
( ( ( collec1266446174iple_a @ SX0 )
!= bot_bo1687970473a_bool )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(740,plain,
! [SV171: $i,SV146: $i,SV80: $i] :
( ( ! [SY552: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SY552 ) )
| ~ ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SY552 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SY552 @ SV171 @ SV146 @ SV80 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SY552 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SY552 @ SV171 @ SV146 @ SV80 ) ) @ SY552 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SY552 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SY552 @ SV171 @ SV146 @ SV80 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(741,plain,
! [SV81: $i,SV147: $i] :
( ( ( ! [SY525: $i] :
( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SY525 @ SV147 @ SV81 ) ) )
| ~ ( ( ( sK14_Y_1 @ SY525 @ SV147 @ SV81 )
!= SY525 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SY525 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(742,plain,
( ( ! [SX0: $i] :
( ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ ( sK32_X_2 @ SX0 ) ) )
| ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(743,plain,
( ( ! [SX0: $i] :
( ( bot_bo1687970473a_bool
!= ( collec1266446174iple_a @ SX0 ) )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(744,plain,
! [SV148: $i,SV82: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( sK15_X_2 @ SV148 @ SV82 ) ) )
| ~ ( ( ( sK15_X_2 @ SV148 @ SV82 )
!= SV148 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(745,plain,
( ( ! [SX0: $i] :
( ( SX0 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK31_X_2 @ SX0 ) ) @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(746,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX1 ) @ SX0 ) )
| ( SX0 != bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(747,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(748,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(749,plain,
( ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) )
| ( hBOOL @ bot_bot_bool ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(750,plain,
( ( ~ ( hBOOL @ bot_bot_bool )
| ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(751,plain,
! [SV83: $i] :
( ( ~ ! [SY453: $i,SY454: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY453 ) @ SY454 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY453 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY454 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(752,plain,
! [SV83: $i] :
( ( ~ ! [SY455: $i] :
( ( SY455 != SV83 )
| ! [SY456: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY455 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY456 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(753,plain,
! [SV84: $i,SV149: $i,SV172: $i] :
( ( ! [SY553: $i,SY554: $i,SY555: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY553 @ SY554 @ SY555 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SY555 @ SY554 @ SY553 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SY555 @ SY554 @ SY553 @ SV172 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY556: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY553 @ SY556 ) @ ( sK35_SY289 @ SY555 @ SY554 @ SY553 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY555 @ SY556 ) @ ( sK36_SY292 @ SY555 @ SY554 @ SY553 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SY555 @ SY554 @ SY553 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SY555 @ SY554 @ SY553 @ SV172 @ SV149 @ SV84 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SY554 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(754,plain,
! [SV150: $i,SV85: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) ) )
= $true )
| ( ( ~ ( ( SV150
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(755,plain,
! [SV3: $i,SV151: $i,SV87: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV87 ) @ SV151 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV87 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV151 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(756,plain,
! [SV4: $i,SV152: $i,SV88: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ SV4 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(757,plain,
! [SV153: $i,SV89: $i,SV5: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV89 ) @ SV153 ) ) ) )
= $true )
| ( ( ( SV5 = SV89 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ SV153 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(758,plain,
! [SV7: $i,SV90: $i] :
( ( ( SV90 = bot_bo1687970473a_bool )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV7 ) @ SV90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(759,plain,
! [SV91: $i,SV9: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV9 ) @ SV91 ) )
= $false )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV9 ) @ SV91 )
= SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(760,plain,
! [SV10: $i,SV154: $i,SV92: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV92 ) @ SV154 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV92 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV10 ) @ SV154 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(761,plain,
! [SV96: $i,SV14: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV14 ) @ bot_bo1687970473a_bool )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV96 ) @ bot_bo1687970473a_bool ) )
= $false )
| ( ( SV14 = SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(762,plain,
! [SV97: $i,SV15: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV15 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV97 ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV15 = SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(763,plain,
! [SV101: $i,SV20: $i,SV173: $i,SV156: $i] :
( ( ! [SY557: $i,SY558: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ SY557 @ SY558 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY558 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ ( semi @ SY557 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(764,plain,
! [SV23: $i,SV157: $i,SV102: $i] :
( ( ( ~ ( hBOOL @ ( finite520909254iple_a @ SV102 @ SV157 ) ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ SV157 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV23 ) @ bot_bo1687970473a_bool ) )
= SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(765,plain,
! [SV174: $i,SV104: $i,SV25: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV25 @ SV104 ) @ SV174 ) ) )
= $true )
| ( ( ( SV104 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(766,plain,
! [SV26: $i,SV105: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV105 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV26 ) @ SV105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(767,plain,
! [SV158: $i,SV107: $i,SV28: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV28 @ SV107 @ bot_bo1687970473a_bool ) @ SV158 ) ) )
= $true )
| ( ( SV158 = SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(768,plain,
! [SV29: $i,SV175: $i,SV108: $i] :
( ( ( ( SV108
!= ( finite233325225iple_a @ SV175 ) ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ SV108 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV29 ) @ bot_bo1687970473a_bool ) )
= SV29 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(769,plain,
! [SV31: $i] :
( ( ( hBOOL @ SV31 )
= $false )
| ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(770,plain,
! [SV33: $i,SV110: $i] :
( ( ( ~ ( hBOOL @ SV110 ) )
= $true )
| ( ( ~ ( hBOOL @ SV33 ) )
= $true )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV110 ) @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(771,plain,
! [SV159: $i,SV34: $i] :
( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV34 ) @ SV159 ) )
= $false )
| ( ( hBOOL @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(772,plain,
! [SV111: $i,SV35: $i] :
( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV35 ) @ SV111 ) )
= $false )
| ( ( hBOOL @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(773,plain,
! [SV36: $i] :
( ( ( SV36 = fTrue )
= $true )
| ( ( SV36 = fFalse )
= $true )
| ( ( is_bool @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(774,plain,
! [SV176: $i,SV37: $i] :
( ( ( ( hAPP_state_bool @ ( cOMBK_bool_state @ SV37 ) @ SV176 )
= SV37 )
= $true )
| ( ( is_bool @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(775,plain,
! [SV114: $i,SV40: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ SV40 ) @ SV114 ) )
= $false )
| ( ( SV40 = SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(776,plain,
! [SV115: $i,SV41: $i] :
( ( ( SV41 = SV115 )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_f1945881407l_bool @ fequal1765155200a_bool @ SV41 ) @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(777,plain,
! [SV46: $i,SV120: $i] :
( ( ( is_bool @ SV120 )
= $false )
| ( ( is_bool @ ( hAPP_bool_bool @ SV46 @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(778,plain,
! [SV177: $i,SV162: $i,SV124: $i,SV50: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV50 @ SV124 @ SV162 ) @ SV177 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV124 ) @ SV162 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV50 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV124 ) @ SV162 ) ) @ SV177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(779,plain,
! [SV53: $i,SV163: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( finite520909254iple_a @ SV126 @ SV163 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV53 ) )
| ( ( hAPP_f1826273671iple_a @ SV163 @ SV53 )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV126 ) @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(780,plain,
! [SV54: $i,SV127: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV127 ) )
= $false )
| ( ( ( SV127 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV54 @ SV127 ) @ ( sK10_X1 @ SV127 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(781,plain,
! [SV128: $i,SV55: $i,SV164: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV164 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV55 @ SV128 @ SV164 ) @ ( sK7_X1 @ SV164 @ SV128 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(782,plain,
! [SV56: $i,SV129: $i] :
( ( ( hBOOL @ SV129 )
= $false )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV129 ) @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(783,plain,
! [SV57: $i,SV130: $i] :
( ( ( hBOOL @ SV130 )
= $false )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV57 ) @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(784,plain,
! [SV131: $i,SV58: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV58 ) @ SV131 ) ) )
= $true )
| ( ( hBOOL @ SV58 )
= $true )
| ( ( hBOOL @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(785,plain,
! [SV60: $i,SV133: $i] :
( ( ( hBOOL @ SV133 )
= $false )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV60 ) @ SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(786,plain,
! [SV134: $i,SV61: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV61 ) @ SV134 ) ) )
= $true )
| ( ( ~ ( hBOOL @ SV61 ) )
= $true )
| ( ( hBOOL @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(787,plain,
! [SV178: $i,SV62: $i] :
( ( ( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ SV62 ) @ SV178 )
= SV62 )
= $true )
| ( ( is_bool @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(788,plain,
! [SV179: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV179 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV179 ) @ bot_bo1687970473a_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(789,plain,
! [SV180: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV180 ) @ bot_bo1687970473a_bool ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(790,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) )
| ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) )
| ~ ~ ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) )
| ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(791,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ~ ( ~ ! [SY492: $i,SY493: $i] :
( ( SV64 != SY492 )
| ( SV136 != SY493 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY492 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY493 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SY494: $i,SY495: $i] :
( ( SV64 != SY495 )
| ( SV136 != SY494 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY494 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY495 ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(792,plain,
! [SV65: $i,SV137: $i,SV166: $i,SV181: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV181 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ~ ! [SY559: $i,SY560: $i] :
( ~ ( ~ ! [SY561: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY559 @ SY561 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY560 @ SY561 ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY559 @ SV166 @ SY560 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(793,plain,
! [SV66: $i] :
( ( ! [SY389: $i,SY390: $i] :
( ! [SY391: $i,SY392: $i] :
( ! [SY393: $i] :
( ( SY389
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY391 ) @ SY392 ) )
| ( SY390 != SY393 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SY391 @ SY392 ) @ SY393 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY391 ) @ SY392 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SY389 ) @ SY390 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(794,plain,
! [SV66: $i] :
( ( ! [SY394: $i,SY395: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SY394 ) @ SY395 ) )
| ~ ( ~ ~ ( ~ ~ ( ( SY394
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) )
| ( SY395
!= ( sK6_SY271 @ SY395 @ SY394 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) @ ( sK6_SY271 @ SY395 @ SY394 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SY395 @ SY394 @ SV66 ) ) @ ( sK5_SY269 @ SY395 @ SY394 @ SV66 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(795,plain,
! [SV138: $i,SV67: $i] :
( ( ~ ! [SY501: $i,SY502: $i] :
( ( SV67 != SY501 )
| ( SV138 != SY502 )
| ( ( semi @ SV67 @ SV138 )
= ( semi @ SY501 @ SY502 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(796,plain,
! [SV138: $i,SV67: $i] :
( ( ~ ~ ( ~ ! [SY503: $i] :
( ! [SY504: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SY503 @ SY504 ) )
| ( SV67 = SY503 ) )
| ~ ! [SY505: $i,SY506: $i] :
( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SY505 @ SY506 ) )
| ( SV138 = SY506 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(797,plain,
! [SV68: $i] :
( ( ! [SY403: $i,SY404: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY403 ) @ SY404 ) ) )
| ( SV68 = SY403 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY404 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(798,plain,
! [SV68: $i] :
( ( ~ ( ~ ! [SY405: $i] :
( ( SV68 != SY405 )
| ! [SY406: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY405 ) @ SY406 ) ) ) )
| ~ ! [SY407: $i,SY408: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY408 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY407 ) @ SY408 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(799,plain,
! [SV139: $i,SV69: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) )
= $false )
| ( ( ~ ( ( SV139
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(800,plain,
! [SV140: $i,SV70: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ ( sK16_X_2 @ SV140 @ SV70 ) ) )
| ~ ( ( ( sK16_X_2 @ SV140 @ SV70 )
!= SV140 ) ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(801,plain,
! [SV71: $i,SV141: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(802,plain,
( ( ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) )
= $true )
| ( ( hBOOL @ bot_bot_bool )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(803,plain,
( ( ( ~ ( hBOOL @ bot_bot_bool ) )
= $true )
| ( ( ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(804,plain,
! [SV182: $i] :
( ( ( SV182 = bot_bo1687970473a_bool )
| ~ ( ( SV182
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(805,plain,
! [SV183: $i] :
( ( ! [SY562: $i,SY563: $i] :
( ( SV183
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY562 ) @ SY563 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY562 ) @ SY563 ) ) )
| ( SV183 != bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(806,plain,
! [SV72: $i,SV184: $i,SV167: $i,SV142: $i] :
( ( ! [SY564: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SY564 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SY564 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SY564 @ SV184 @ SV167 @ SV142 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SY564 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SY564 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SY564 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(807,plain,
! [SV73: $i,SV143: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false )
| ( ( ( SV143 = bot_bo1687970473a_bool )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(808,plain,
! [SV185: $i] :
( ( ! [SY565: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV185 ) @ SY565 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY565 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(809,plain,
! [SV186: $i] :
( ( ! [SY566: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY566 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV186 ) @ SY566 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(810,plain,
! [SV187: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK30_X_2 @ SV187 ) ) @ SV187 ) )
| ( SV187 = bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(811,plain,
! [SV188: $i] :
( ( ( SV188 != bot_bo1687970473a_bool )
| ! [SY567: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY567 ) @ SV188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(812,plain,
! [SV168: $i,SV74: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( sK13_Y_1 @ SV168 @ SV74 ) ) )
| ~ ( ( ( sK13_Y_1 @ SV168 @ SV74 )
!= SV168 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(813,plain,
! [SV75: $i] :
( ( ! [SY418: $i,SY419: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY418 ) @ SY419 ) )
| ( SV75 = SY419 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SY418 @ SY419 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(814,plain,
! [SV75: $i] :
( ( ~ ( ~ ! [SY420: $i,SY421: $i] :
( ( SV75 != SY421 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY420 ) @ SY421 ) ) )
| ~ ! [SY422: $i,SY423: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY422 @ SY423 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY422 ) @ SY423 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(815,plain,
! [SV76: $i,SV189: $i,SV169: $i,SV144: $i] :
( ( ! [SY568: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SY568 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY568 @ ( sK39_Z_1 @ SY568 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SY568 @ SV189 @ SV169 @ SV144 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SY568 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SY568 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(816,plain,
! [SV190: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) )
| ( SV190 = bot_bo1687970473a_bool )
| ~ ( ( SV190
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SV190 ) ) @ ( sK17_A_1 @ SV190 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SV190 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(817,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ SX1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(818,plain,
! [SV77: $i] :
( ( ! [SY428: $i,SY429: $i] :
( ( SY428 != SY429 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY428 ) @ bot_bo1687970473a_bool ) ) @ SY429 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(819,plain,
! [SV77: $i] :
( ( ! [SY430: $i,SY431: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY430 ) @ bot_bo1687970473a_bool ) ) @ SY431 ) )
| ( SY430 = SY431 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(820,plain,
! [SV191: $i] :
( ( ! [SY569: $i] :
( ( SV191 != SY569 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV191 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY569 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(821,plain,
! [SV192: $i] :
( ( ! [SY570: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV192 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY570 ) @ bot_bo1687970473a_bool ) ) )
| ( SV192 = SY570 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(822,plain,
! [SV170: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ~ ( ~ ! [SY571: $i,SY572: $i] :
( ( SV78 != SV193 )
| ( SV145 != SY571 )
| ( SV170 != SY572 )
| ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SY571 @ SY572 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
| ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) )
| ~ ! [SY577: $i,SY578: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY577 @ SY578 ) )
| ( SV170 = SY578 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(823,plain,
! [SV79: $i] :
( ( ! [SY443: $i,SY444: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY443 ) @ SY444 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY443 ) @ SV79 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY443 ) @ SY444 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY443 ) @ SV79 ) )
| ( SY444 = SV79 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(824,plain,
! [SV79: $i] :
( ( ! [SY445: $i,SY446: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY445 ) @ SY446 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY445 ) @ SV79 ) )
| ( SY446 != SV79 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY445 ) @ SY446 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY445 ) @ SV79 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(825,plain,
! [SV194: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV194 @ ( sK33_X_2 @ SV194 ) ) )
| ( ( collec1266446174iple_a @ SV194 )
= bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(826,plain,
! [SV195: $i] :
( ( ( ( collec1266446174iple_a @ SV195 )
!= bot_bo1687970473a_bool )
| ! [SY579: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV195 @ SY579 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(827,plain,
! [SV196: $i,SV171: $i,SV146: $i,SV80: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
| ~ ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(828,plain,
! [SV81: $i,SV197: $i,SV147: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SV197 @ SV147 @ SV81 ) ) )
| ~ ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
!= SV197 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(829,plain,
! [SV198: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV198 @ ( sK32_X_2 @ SV198 ) ) )
| ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(830,plain,
! [SV199: $i] :
( ( ( bot_bo1687970473a_bool
!= ( collec1266446174iple_a @ SV199 ) )
| ! [SY580: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV199 @ SY580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(831,plain,
! [SV148: $i,SV82: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( sK15_X_2 @ SV148 @ SV82 ) ) )
| ~ ( ( ( sK15_X_2 @ SV148 @ SV82 )
!= SV148 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(832,plain,
! [SV200: $i] :
( ( ( SV200 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK31_X_2 @ SV200 ) ) @ SV200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(833,plain,
! [SV201: $i] :
( ( ! [SY581: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY581 ) @ SV201 ) )
| ( SV201 != bot_bo1687970473a_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(834,plain,
! [SV202: $i] :
( ( ! [SY582: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV202 ) @ SY582 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SY582 @ SV202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(835,plain,
! [SV203: $i] :
( ( ! [SY583: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY583 @ SV203 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV203 ) @ SY583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(836,plain,
( ( ( ! [SX0: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) )
= $true )
| ( ( hBOOL @ bot_bot_bool )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(837,plain,
( ( ( ~ ( hBOOL @ bot_bot_bool ) )
= $true )
| ( ( ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(838,plain,
! [SV83: $i] :
( ( ! [SY453: $i,SY454: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY453 ) @ SY454 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY453 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY454 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(839,plain,
! [SV83: $i] :
( ( ! [SY455: $i] :
( ( SY455 != SV83 )
| ! [SY456: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY455 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY456 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(840,plain,
! [SV84: $i,SV149: $i,SV204: $i,SV172: $i] :
( ( ! [SY584: $i,SY585: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SY584 @ SY585 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SY585 @ SY584 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SY585 @ SY584 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY586: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY586 ) @ ( sK35_SY289 @ SY585 @ SY584 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY585 @ SY586 ) @ ( sK36_SY292 @ SY585 @ SY584 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SY585 @ SY584 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SY585 @ SY584 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SY584 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(841,plain,
! [SV150: $i,SV85: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) )
= $false )
| ( ( ~ ( ( SV150
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(842,plain,
! [SV3: $i,SV151: $i,SV87: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV87 ) @ SV151 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV87 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV151 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(843,plain,
! [SV4: $i,SV152: $i,SV88: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ SV4 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(844,plain,
! [SV153: $i,SV89: $i,SV5: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV89 ) @ SV153 ) ) )
= $false )
| ( ( ( SV5 = SV89 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ SV153 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(845,plain,
! [SV90: $i,SV7: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV7 ) @ SV90 ) )
= $false )
| ( ( SV90 = bot_bo1687970473a_bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(846,plain,
! [SV10: $i,SV154: $i,SV92: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV92 ) @ SV154 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV92 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV10 ) @ SV154 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(847,plain,
! [SV101: $i,SV20: $i,SV205: $i,SV173: $i,SV156: $i] :
( ( ! [SY587: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ SV205 @ SY587 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY587 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ ( semi @ SV205 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(848,plain,
! [SV23: $i,SV157: $i,SV102: $i] :
( ( ( hBOOL @ ( finite520909254iple_a @ SV102 @ SV157 ) )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ SV157 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV23 ) @ bot_bo1687970473a_bool ) )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(849,plain,
! [SV174: $i,SV104: $i,SV25: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV25 @ SV104 ) @ SV174 ) )
= $false )
| ( ( ( SV104 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(850,plain,
! [SV158: $i,SV107: $i,SV28: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV28 @ SV107 @ bot_bo1687970473a_bool ) @ SV158 ) )
= $false )
| ( ( SV158 = SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(851,plain,
! [SV29: $i,SV175: $i,SV108: $i] :
( ( ( SV108
= ( finite233325225iple_a @ SV175 ) )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ SV108 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV29 ) @ bot_bo1687970473a_bool ) )
= SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(852,plain,
! [SV33: $i,SV110: $i] :
( ( ( hBOOL @ SV110 )
= $false )
| ( ( ~ ( hBOOL @ SV33 ) )
= $true )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV110 ) @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(853,plain,
! [SV177: $i,SV162: $i,SV124: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV50 @ SV124 @ SV162 ) @ SV177 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV124 ) @ SV162 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV50 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV124 ) @ SV162 ) ) @ SV177 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(854,plain,
! [SV53: $i,SV163: $i,SV126: $i] :
( ( ( hBOOL @ ( finite520909254iple_a @ SV126 @ SV163 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV53 ) )
| ( ( hAPP_f1826273671iple_a @ SV163 @ SV53 )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV126 ) @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(855,plain,
! [SV54: $i,SV127: $i] :
( ( ( SV127 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV54 @ SV127 ) @ ( sK10_X1 @ SV127 @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV127 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(856,plain,
! [SV128: $i,SV55: $i,SV164: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV164 ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV55 @ SV128 @ SV164 ) @ ( sK7_X1 @ SV164 @ SV128 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(857,plain,
! [SV131: $i,SV58: $i] :
( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fdisj @ SV58 ) @ SV131 ) )
= $false )
| ( ( hBOOL @ SV58 )
= $true )
| ( ( hBOOL @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(858,plain,
! [SV134: $i,SV61: $i] :
( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV61 ) @ SV134 ) )
= $false )
| ( ( ~ ( hBOOL @ SV61 ) )
= $true )
| ( ( hBOOL @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(859,plain,
! [SV179: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV179 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV179 ) @ bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(860,plain,
! [SV180: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV180 ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(861,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) )
| ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) )
| ~ ~ ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) )
| ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(862,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ( ~ ! [SY492: $i,SY493: $i] :
( ( SV64 != SY492 )
| ( SV136 != SY493 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY492 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY493 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SY494: $i,SY495: $i] :
( ( SV64 != SY495 )
| ( SV136 != SY494 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY494 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY495 ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(863,plain,
! [SV65: $i,SV137: $i,SV166: $i,SV181: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV181 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ~ ! [SY559: $i,SY560: $i] :
( ~ ( ~ ! [SY561: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY559 @ SY561 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY560 @ SY561 ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY559 @ SV166 @ SY560 ) ) @ bot_bo1687970473a_bool ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(864,plain,
! [SV66: $i,SV206: $i] :
( ( ! [SY588: $i] :
( ! [SY589: $i,SY590: $i] :
( ! [SY591: $i] :
( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY589 ) @ SY590 ) )
| ( SY588 != SY591 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SY589 @ SY590 ) @ SY591 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY589 ) @ SY590 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SY588 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(865,plain,
! [SV207: $i,SV66: $i] :
( ( ! [SY592: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SY592 ) )
| ~ ( ~ ~ ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SY592 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SY592 @ SV207 @ SV66 ) ) )
| ( SY592
!= ( sK6_SY271 @ SY592 @ SV207 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SY592 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SY592 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SY592 @ SV207 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SY592 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SY592 @ SV207 @ SV66 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(866,plain,
! [SV138: $i,SV67: $i] :
( ( ! [SY501: $i,SY502: $i] :
( ( SV67 != SY501 )
| ( SV138 != SY502 )
| ( ( semi @ SV67 @ SV138 )
= ( semi @ SY501 @ SY502 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(867,plain,
! [SV138: $i,SV67: $i] :
( ( ~ ( ~ ! [SY503: $i] :
( ! [SY504: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SY503 @ SY504 ) )
| ( SV67 = SY503 ) )
| ~ ! [SY505: $i,SY506: $i] :
( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SY505 @ SY506 ) )
| ( SV138 = SY506 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(868,plain,
! [SV208: $i,SV68: $i] :
( ( ! [SY593: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV208 ) @ SY593 ) ) )
| ( SV68 = SV208 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY593 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(869,plain,
! [SV68: $i] :
( ( ~ ! [SY405: $i] :
( ( SV68 != SY405 )
| ! [SY406: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY405 ) @ SY406 ) ) ) )
| ~ ! [SY407: $i,SY408: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY408 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY407 ) @ SY408 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(870,plain,
! [SV69: $i,SV139: $i] :
( ( ( ( SV139
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(871,plain,
! [SV140: $i,SV70: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ ( sK16_X_2 @ SV140 @ SV70 ) ) )
| ~ ( ( ( sK16_X_2 @ SV140 @ SV70 )
!= SV140 ) ) ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(872,plain,
! [SV141: $i,SV71: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(873,plain,
! [SV209: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV209 ) ) )
= $true )
| ( ( hBOOL @ bot_bot_bool )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(874,plain,
( ( ( hBOOL @ bot_bot_bool )
= $false )
| ( ( ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(875,plain,
! [SV182: $i] :
( ( ( SV182 = bot_bo1687970473a_bool )
= $true )
| ( ( ~ ( ( SV182
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(876,plain,
! [SV183: $i] :
( ( ( ! [SY562: $i,SY563: $i] :
( ( SV183
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY562 ) @ SY563 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY562 ) @ SY563 ) ) ) )
= $true )
| ( ( ( SV183 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(877,plain,
! [SV72: $i,SV210: $i,SV184: $i,SV167: $i,SV142: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(878,plain,
! [SV73: $i,SV143: $i] :
( ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(879,plain,
! [SV211: $i,SV185: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV185 ) @ SV211 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(880,plain,
! [SV186: $i,SV212: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV212 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV186 ) @ SV212 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(881,plain,
! [SV187: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK30_X_2 @ SV187 ) ) @ SV187 ) )
= $true )
| ( ( SV187 = bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(882,plain,
! [SV188: $i] :
( ( ( ( SV188 != bot_bo1687970473a_bool ) )
= $true )
| ( ( ! [SY567: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY567 ) @ SV188 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(883,plain,
! [SV168: $i,SV74: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( sK13_Y_1 @ SV168 @ SV74 ) ) )
| ~ ( ( ( sK13_Y_1 @ SV168 @ SV74 )
!= SV168 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(884,plain,
! [SV213: $i,SV75: $i] :
( ( ! [SY594: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV213 ) @ SY594 ) )
| ( SV75 = SY594 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV213 @ SY594 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(885,plain,
! [SV75: $i] :
( ( ~ ! [SY420: $i,SY421: $i] :
( ( SV75 != SY421 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY420 ) @ SY421 ) ) )
| ~ ! [SY422: $i,SY423: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY422 @ SY423 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY422 ) @ SY423 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(886,plain,
! [SV76: $i,SV214: $i,SV189: $i,SV169: $i,SV144: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV214 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(887,plain,
! [SV190: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) ) )
= $true )
| ( ( ( SV190 = bot_bo1687970473a_bool )
| ~ ( ( SV190
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SV190 ) ) @ ( sK17_A_1 @ SV190 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SV190 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(888,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(889,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ SX1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(890,plain,
! [SV77: $i,SV215: $i] :
( ( ! [SY595: $i] :
( ( SV215 != SY595 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV215 ) @ bot_bo1687970473a_bool ) ) @ SY595 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(891,plain,
! [SV216: $i,SV77: $i] :
( ( ! [SY596: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV216 ) @ bot_bo1687970473a_bool ) ) @ SY596 ) )
| ( SV216 = SY596 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(892,plain,
! [SV217: $i,SV191: $i] :
( ( ( SV191 != SV217 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV191 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV217 ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(893,plain,
! [SV218: $i,SV192: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV192 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV218 ) @ bot_bo1687970473a_bool ) ) )
| ( SV192 = SV218 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(894,plain,
! [SV170: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ~ ! [SY571: $i,SY572: $i] :
( ( SV78 != SV193 )
| ( SV145 != SY571 )
| ( SV170 != SY572 )
| ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SY571 @ SY572 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
| ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) )
| ~ ! [SY577: $i,SY578: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY577 @ SY578 ) )
| ( SV170 = SY578 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(895,plain,
! [SV79: $i,SV219: $i] :
( ( ! [SY597: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SY597 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV79 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SY597 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV79 ) )
| ( SY597 = SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(896,plain,
! [SV79: $i,SV220: $i] :
( ( ! [SY598: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SY598 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV79 ) )
| ( SY598 != SV79 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SY598 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(897,plain,
! [SV194: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV194 @ ( sK33_X_2 @ SV194 ) ) )
= $true )
| ( ( ( collec1266446174iple_a @ SV194 )
= bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(898,plain,
! [SV195: $i] :
( ( ( ( ( collec1266446174iple_a @ SV195 )
!= bot_bo1687970473a_bool ) )
= $true )
| ( ( ! [SY579: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV195 @ SY579 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(899,plain,
! [SV196: $i,SV171: $i,SV146: $i,SV80: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) ) )
= $true )
| ( ( ~ ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(900,plain,
! [SV81: $i,SV197: $i,SV147: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SV197 @ SV147 @ SV81 ) ) )
| ~ ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
!= SV197 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(901,plain,
! [SV198: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV198 @ ( sK32_X_2 @ SV198 ) ) )
= $true )
| ( ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SV198 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(902,plain,
! [SV199: $i] :
( ( ( ( bot_bo1687970473a_bool
!= ( collec1266446174iple_a @ SV199 ) ) )
= $true )
| ( ( ! [SY580: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV199 @ SY580 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[830]) ).
thf(903,plain,
! [SV148: $i,SV82: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( sK15_X_2 @ SV148 @ SV82 ) ) )
| ~ ( ( ( sK15_X_2 @ SV148 @ SV82 )
!= SV148 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(904,plain,
! [SV200: $i] :
( ( ( SV200 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK31_X_2 @ SV200 ) ) @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[832]) ).
thf(905,plain,
! [SV201: $i] :
( ( ( ! [SY581: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY581 ) @ SV201 ) ) )
= $true )
| ( ( ( SV201 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(906,plain,
! [SV221: $i,SV202: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV202 ) @ SV221 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV221 @ SV202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(907,plain,
! [SV203: $i,SV222: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV222 @ SV203 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV203 ) @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(908,plain,
! [SV223: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV223 ) ) )
= $true )
| ( ( hBOOL @ bot_bot_bool )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(909,plain,
( ( ( hBOOL @ bot_bot_bool )
= $false )
| ( ( ! [SX0: $i] : ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(910,plain,
! [SV83: $i,SV224: $i] :
( ( ! [SY599: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV224 ) @ SY599 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV224 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY599 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(911,plain,
! [SV83: $i,SV225: $i] :
( ( ( SV225 != SV83 )
| ! [SY600: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV225 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY600 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(912,plain,
! [SV84: $i,SV149: $i,SV226: $i,SV204: $i,SV172: $i] :
( ( ! [SY601: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SY601 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SY601 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SY601 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY602: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY602 ) @ ( sK35_SY289 @ SY601 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY601 @ SY602 ) @ ( sK36_SY292 @ SY601 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SY601 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SY601 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(913,plain,
! [SV85: $i,SV150: $i] :
( ( ( ( SV150
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(914,plain,
! [SV151: $i,SV87: $i,SV3: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV87 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV151 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV87 ) @ SV151 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(915,plain,
! [SV152: $i,SV4: $i,SV88: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ SV4 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ SV4 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(916,plain,
! [SV153: $i,SV89: $i,SV5: $i] :
( ( ( SV5 = SV89 )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ SV153 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV5 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV89 ) @ SV153 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(917,plain,
! [SV101: $i,SV20: $i,SV227: $i,SV205: $i,SV173: $i,SV156: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ SV205 @ SV227 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV227 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ ( semi @ SV205 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(918,plain,
! [SV174: $i,SV25: $i,SV104: $i] :
( ( ( SV104 = bot_bo1687970473a_bool )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV25 @ SV104 ) @ SV174 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(919,plain,
! [SV110: $i,SV33: $i] :
( ( ( hBOOL @ SV33 )
= $false )
| ( ( hBOOL @ SV110 )
= $false )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fconj @ SV110 ) @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(920,plain,
! [SV177: $i,SV162: $i,SV124: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV50 @ SV124 @ SV162 ) @ SV177 ) )
= $false )
| ( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV124 ) @ SV162 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV50 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV124 ) @ SV162 ) ) @ SV177 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(921,plain,
! [SV126: $i,SV163: $i,SV53: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV53 ) ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ SV163 @ SV53 )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV126 ) @ SV53 ) )
= $true )
| ( ( hBOOL @ ( finite520909254iple_a @ SV126 @ SV163 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(922,plain,
! [SV134: $i,SV61: $i] :
( ( ( hBOOL @ SV61 )
= $false )
| ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ fimplies @ SV61 ) @ SV134 ) )
= $false )
| ( ( hBOOL @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(923,plain,
! [SV179: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV179 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV179 ) @ bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(924,plain,
! [SV180: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV180 ) @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(925,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ~ ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) )
| ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) )
| ~ ~ ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) )
| ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(926,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY492: $i,SY493: $i] :
( ( SV64 != SY492 )
| ( SV136 != SY493 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY492 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY493 ) @ bot_bo1687970473a_bool ) ) ) )
| ~ ! [SY494: $i,SY495: $i] :
( ( SV64 != SY495 )
| ( SV136 != SY494 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY494 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY495 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(927,plain,
! [SV65: $i,SV137: $i,SV166: $i,SV181: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV181 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ~ ! [SY559: $i,SY560: $i] :
( ~ ( ~ ! [SY561: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY559 @ SY561 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY560 @ SY561 ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY559 @ SV166 @ SY560 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(928,plain,
! [SV66: $i,SV228: $i,SV206: $i] :
( ( ! [SY603: $i,SY604: $i] :
( ! [SY605: $i] :
( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY603 ) @ SY604 ) )
| ( SV228 != SY605 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SY603 @ SY604 ) @ SY605 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY603 ) @ SY604 ) ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(929,plain,
! [SV229: $i,SV207: $i,SV66: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
| ~ ( ~ ~ ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(930,plain,
! [SV138: $i,SV230: $i,SV67: $i] :
( ( ! [SY606: $i] :
( ( SV67 != SV230 )
| ( SV138 != SY606 )
| ( ( semi @ SV67 @ SV138 )
= ( semi @ SV230 @ SY606 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(931,plain,
! [SV138: $i,SV67: $i] :
( ( ~ ! [SY503: $i] :
( ! [SY504: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SY503 @ SY504 ) )
| ( SV67 = SY503 ) )
| ~ ! [SY505: $i,SY506: $i] :
( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SY505 @ SY506 ) )
| ( SV138 = SY506 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(932,plain,
! [SV231: $i,SV208: $i,SV68: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV208 ) @ SV231 ) ) )
| ( SV68 = SV208 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SV231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(933,plain,
! [SV68: $i] :
( ( ~ ! [SY405: $i] :
( ( SV68 != SY405 )
| ! [SY406: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY405 ) @ SY406 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[869]) ).
thf(934,plain,
! [SV68: $i] :
( ( ~ ! [SY407: $i,SY408: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY408 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY407 ) @ SY408 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[869]) ).
thf(935,plain,
! [SV69: $i,SV139: $i] :
( ( ( ( SV139
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(936,plain,
! [SV139: $i,SV69: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(937,plain,
! [SV140: $i,SV70: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ ( sK16_X_2 @ SV140 @ SV70 ) ) )
| ~ ( ( ( sK16_X_2 @ SV140 @ SV70 )
!= SV140 ) ) )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(938,plain,
! [SV141: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(939,plain,
! [SV209: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV209 ) )
= $false )
| ( ( hBOOL @ bot_bot_bool )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(940,plain,
! [SV232: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV232 ) )
= $true )
| ( ( hBOOL @ bot_bot_bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(941,plain,
! [SV182: $i] :
( ( ( ( SV182
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) ) )
= $false )
| ( ( SV182 = bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(942,plain,
! [SV233: $i,SV183: $i] :
( ( ( ! [SY607: $i] :
( ( SV183
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV233 ) @ SY607 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV233 ) @ SY607 ) ) ) )
= $true )
| ( ( ( SV183 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(943,plain,
! [SV72: $i,SV210: $i,SV184: $i,SV167: $i,SV142: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(944,plain,
! [SV143: $i,SV73: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) ) )
= $true )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(945,plain,
! [SV211: $i,SV185: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV185 ) @ SV211 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(946,plain,
! [SV186: $i,SV212: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV212 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV186 ) @ SV212 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(947,plain,
! [SV188: $i] :
( ( ( SV188 = bot_bo1687970473a_bool )
= $false )
| ( ( ! [SY567: $i] :
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY567 ) @ SV188 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(948,plain,
! [SV168: $i,SV74: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( sK13_Y_1 @ SV168 @ SV74 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(949,plain,
! [SV74: $i,SV168: $i] :
( ( ( ~ ( ( ( sK13_Y_1 @ SV168 @ SV74 )
!= SV168 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(950,plain,
! [SV234: $i,SV213: $i,SV75: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV213 ) @ SV234 ) )
| ( SV75 = SV234 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV213 @ SV234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(951,plain,
! [SV75: $i] :
( ( ~ ! [SY420: $i,SY421: $i] :
( ( SV75 != SY421 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY420 ) @ SY421 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(952,plain,
! [SV75: $i] :
( ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY422 @ SY423 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY422 ) @ SY423 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(953,plain,
! [SV76: $i,SV214: $i,SV189: $i,SV169: $i,SV144: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV214 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(954,plain,
! [SV190: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) )
= $false )
| ( ( ( SV190 = bot_bo1687970473a_bool )
| ~ ( ( SV190
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SV190 ) ) @ ( sK17_A_1 @ SV190 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SV190 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(955,plain,
( ( ! [SX0: $i] :
( ( SX0 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[888]) ).
thf(956,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SX2 ) @ SX1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(957,plain,
! [SV77: $i,SV235: $i,SV215: $i] :
( ( ( SV215 != SV235 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV215 ) @ bot_bo1687970473a_bool ) ) @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(958,plain,
! [SV236: $i,SV216: $i,SV77: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV216 ) @ bot_bo1687970473a_bool ) ) @ SV236 ) )
| ( SV216 = SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(959,plain,
! [SV217: $i,SV191: $i] :
( ( ( ( SV191 != SV217 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV191 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV217 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(960,plain,
! [SV218: $i,SV192: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV192 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV218 ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( SV192 = SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(961,plain,
! [SV170: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ~ ! [SY571: $i,SY572: $i] :
( ( SV78 != SV193 )
| ( SV145 != SY571 )
| ( SV170 != SY572 )
| ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SY571 @ SY572 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(962,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
| ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) )
| ~ ! [SY577: $i,SY578: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY577 @ SY578 ) )
| ( SV170 = SY578 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(963,plain,
! [SV79: $i,SV237: $i,SV219: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV237 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV79 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV237 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV79 ) )
| ( SV237 = SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(964,plain,
! [SV79: $i,SV238: $i,SV220: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV238 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV79 ) )
| ( SV238 != SV79 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV238 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(965,plain,
! [SV195: $i] :
( ( ( ( collec1266446174iple_a @ SV195 )
= bot_bo1687970473a_bool )
= $false )
| ( ( ! [SY579: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV195 @ SY579 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(966,plain,
! [SV196: $i,SV171: $i,SV146: $i,SV80: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false )
| ( ( ~ ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(967,plain,
! [SV81: $i,SV197: $i,SV147: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SV197 @ SV147 @ SV81 ) ) )
| ~ ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
!= SV197 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(968,plain,
! [SV199: $i] :
( ( ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SV199 ) )
= $false )
| ( ( ! [SY580: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV199 @ SY580 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(969,plain,
! [SV148: $i,SV82: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( sK15_X_2 @ SV148 @ SV82 ) ) )
| ~ ( ( ( sK15_X_2 @ SV148 @ SV82 )
!= SV148 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(970,plain,
! [SV201: $i,SV239: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV239 ) @ SV201 ) ) )
= $true )
| ( ( ( SV201 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(971,plain,
! [SV221: $i,SV202: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV202 ) @ SV221 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV221 @ SV202 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(972,plain,
! [SV203: $i,SV222: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV222 @ SV203 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV203 ) @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(973,plain,
! [SV223: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV223 ) )
= $false )
| ( ( hBOOL @ bot_bot_bool )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(974,plain,
! [SV240: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ SV240 ) )
= $true )
| ( ( hBOOL @ bot_bot_bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(975,plain,
! [SV83: $i,SV241: $i,SV224: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV224 ) @ SV241 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV224 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SV241 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(976,plain,
! [SV83: $i,SV225: $i] :
( ( ( ( SV225 != SV83 ) )
= $true )
| ( ( ! [SY600: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV225 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY600 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(977,plain,
! [SV84: $i,SV149: $i,SV242: $i,SV226: $i,SV204: $i,SV172: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(978,plain,
! [SV85: $i,SV150: $i] :
( ( ( ( SV150
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(979,plain,
! [SV150: $i,SV85: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(980,plain,
! [SV151: $i,SV87: $i,SV3: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV87 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV3 ) @ SV151 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV87 ) @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(981,plain,
! [SV152: $i,SV4: $i,SV88: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ SV4 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ SV4 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV88 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV152 ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(982,plain,
! [SV101: $i,SV20: $i,SV227: $i,SV205: $i,SV173: $i,SV156: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ SV205 @ SV227 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV227 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ ( semi @ SV205 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(983,plain,
! [SV177: $i,SV50: $i,SV162: $i,SV124: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV124 ) @ SV162 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV50 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV124 ) @ SV162 ) ) @ SV177 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV50 @ SV124 @ SV162 ) @ SV177 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(984,plain,
! [SV126: $i,SV163: $i,SV53: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV53 ) )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ SV163 @ SV53 )
= ( hAPP_f1826273671iple_a @ ( finite233325225iple_a @ SV126 ) @ SV53 ) )
= $true )
| ( ( hBOOL @ ( finite520909254iple_a @ SV126 @ SV163 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(985,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ~ ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) )
| ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(986,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ~ ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) )
| ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(987,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY492: $i,SY493: $i] :
( ( SV64 != SY492 )
| ( SV136 != SY493 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY492 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY493 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(988,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY494: $i,SY495: $i] :
( ( SV64 != SY495 )
| ( SV136 != SY494 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY494 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY495 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(989,plain,
! [SV65: $i,SV137: $i,SV166: $i,SV181: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV181 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(990,plain,
! [SV65: $i,SV137: $i,SV166: $i,SV181: $i] :
( ( ( ~ ! [SY559: $i,SY560: $i] :
( ~ ( ~ ! [SY561: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY559 @ SY561 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY560 @ SY561 ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY559 @ SV166 @ SY560 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(991,plain,
! [SV66: $i,SV228: $i,SV206: $i] :
( ( ( ! [SY603: $i,SY604: $i] :
( ! [SY605: $i] :
( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY603 ) @ SY604 ) )
| ( SV228 != SY605 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SY603 @ SY604 ) @ SY605 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SY603 ) @ SY604 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(992,plain,
! [SV229: $i,SV207: $i,SV66: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(993,plain,
! [SV243: $i,SV138: $i,SV230: $i,SV67: $i] :
( ( ( SV67 != SV230 )
| ( SV138 != SV243 )
| ( ( semi @ SV67 @ SV138 )
= ( semi @ SV230 @ SV243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(994,plain,
! [SV138: $i,SV67: $i] :
( ( ~ ! [SY503: $i] :
( ! [SY504: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SY503 @ SY504 ) )
| ( SV67 = SY503 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(995,plain,
! [SV138: $i,SV67: $i] :
( ( ~ ! [SY505: $i,SY506: $i] :
( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SY505 @ SY506 ) )
| ( SV138 = SY506 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(996,plain,
! [SV231: $i,SV208: $i,SV68: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV208 ) @ SV231 ) ) ) )
= $true )
| ( ( ( SV68 = SV208 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SV231 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(997,plain,
! [SV68: $i] :
( ( ! [SY405: $i] :
( ( SV68 != SY405 )
| ! [SY406: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY405 ) @ SY406 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(998,plain,
! [SV68: $i] :
( ( ! [SY407: $i,SY408: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY408 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY407 ) @ SY408 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(999,plain,
! [SV69: $i,SV139: $i] :
( ( ( SV139
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(1000,plain,
! [SV139: $i,SV69: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(1001,plain,
! [SV140: $i,SV70: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ ( sK16_X_2 @ SV140 @ SV70 ) ) ) )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(1002,plain,
! [SV70: $i,SV140: $i] :
( ( ( ~ ( ( ( sK16_X_2 @ SV140 @ SV70 )
!= SV140 ) ) )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(1003,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(1004,plain,
! [SV182: $i] :
( ( ( ( SV182
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) ) )
= $false )
| ( ( SV182 = bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(1005,plain,
! [SV182: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) ) )
= $false )
| ( ( SV182 = bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(1006,plain,
! [SV244: $i,SV233: $i,SV183: $i] :
( ( ( ( SV183
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV233 ) @ SV244 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV233 ) @ SV244 ) ) )
= $true )
| ( ( ( SV183 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1007,plain,
! [SV72: $i,SV210: $i,SV184: $i,SV167: $i,SV142: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1008,plain,
! [SV143: $i,SV73: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) ) )
= $true )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1009,plain,
! [SV211: $i,SV185: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV185 ) @ SV211 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1010,plain,
! [SV186: $i,SV212: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV212 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV186 ) @ SV212 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1011,plain,
! [SV188: $i,SV245: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV245 ) @ SV188 ) ) )
= $true )
| ( ( SV188 = bot_bo1687970473a_bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1012,plain,
! [SV168: $i,SV74: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( sK13_Y_1 @ SV168 @ SV74 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(1013,plain,
! [SV74: $i,SV168: $i] :
( ( ( ( ( sK13_Y_1 @ SV168 @ SV74 )
!= SV168 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1014,plain,
! [SV234: $i,SV213: $i,SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV213 ) @ SV234 ) ) )
= $true )
| ( ( ( SV75 = SV234 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV213 @ SV234 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1015,plain,
! [SV75: $i] :
( ( ! [SY420: $i,SY421: $i] :
( ( SV75 != SY421 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY420 ) @ SY421 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(1016,plain,
! [SV75: $i] :
( ( ! [SY422: $i,SY423: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SY422 @ SY423 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SY422 ) @ SY423 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1017,plain,
! [SV76: $i,SV214: $i,SV189: $i,SV169: $i,SV144: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV214 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1018,plain,
! [SV190: $i] :
( ( ( SV190 = bot_bo1687970473a_bool )
= $true )
| ( ( ~ ( ( SV190
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SV190 ) ) @ ( sK17_A_1 @ SV190 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SV190 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1019,plain,
! [SV246: $i] :
( ( ( SV246 != bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1020,plain,
! [SV247: $i] :
( ( ! [SY609: $i] :
( ! [SY610: $i] :
( SV247
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY610 ) @ SY609 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY609 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1021,plain,
! [SV77: $i,SV235: $i,SV215: $i] :
( ( ( ( SV215 != SV235 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV215 ) @ bot_bo1687970473a_bool ) ) @ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1022,plain,
! [SV236: $i,SV216: $i,SV77: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV216 ) @ bot_bo1687970473a_bool ) ) @ SV236 ) ) )
= $true )
| ( ( SV216 = SV236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(1023,plain,
! [SV217: $i,SV191: $i] :
( ( ( SV191 = SV217 )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV191 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV217 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1024,plain,
! [SV218: $i,SV192: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV192 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV218 ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV192 = SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1025,plain,
! [SV170: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ! [SY571: $i,SY572: $i] :
( ( SV78 != SV193 )
| ( SV145 != SY571 )
| ( SV170 != SY572 )
| ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SY571 @ SY572 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1026,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
| ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) )
| ~ ! [SY577: $i,SY578: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY577 @ SY578 ) )
| ( SV170 = SY578 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1027,plain,
! [SV79: $i,SV237: $i,SV219: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV237 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV79 ) )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV237 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV79 ) )
| ( SV237 = SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1028,plain,
! [SV79: $i,SV238: $i,SV220: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV238 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV79 ) )
| ( SV238 != SV79 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV238 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(1029,plain,
! [SV248: $i,SV195: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV195 @ SV248 ) ) )
= $true )
| ( ( ( collec1266446174iple_a @ SV195 )
= bot_bo1687970473a_bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1030,plain,
! [SV80: $i,SV196: $i,SV171: $i,SV146: $i] :
( ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1031,plain,
! [SV81: $i,SV197: $i,SV147: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SV197 @ SV147 @ SV81 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[967]) ).
thf(1032,plain,
! [SV81: $i,SV147: $i,SV197: $i] :
( ( ( ~ ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
!= SV197 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[967]) ).
thf(1033,plain,
! [SV249: $i,SV199: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV199 @ SV249 ) ) )
= $true )
| ( ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SV199 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1034,plain,
! [SV148: $i,SV82: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( sK15_X_2 @ SV148 @ SV82 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1035,plain,
! [SV82: $i,SV148: $i] :
( ( ( ~ ( ( ( sK15_X_2 @ SV148 @ SV82 )
!= SV148 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1036,plain,
! [SV201: $i,SV239: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV239 ) @ SV201 ) )
= $false )
| ( ( ( SV201 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1037,plain,
! [SV221: $i,SV202: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV202 ) @ SV221 ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV221 @ SV202 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1038,plain,
! [SV203: $i,SV222: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV222 @ SV203 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV203 ) @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1039,plain,
! [SV83: $i,SV241: $i,SV224: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV224 ) @ SV241 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV224 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SV241 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1040,plain,
! [SV83: $i,SV225: $i] :
( ( ( SV225 = SV83 )
= $false )
| ( ( ! [SY600: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV225 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SY600 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1041,plain,
! [SV84: $i,SV149: $i,SV242: $i,SV226: $i,SV204: $i,SV172: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1042,plain,
! [SV85: $i,SV150: $i] :
( ( ( SV150
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1043,plain,
! [SV150: $i,SV85: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1044,plain,
! [SV101: $i,SV20: $i,SV227: $i,SV205: $i,SV173: $i,SV156: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ SV205 @ SV227 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV227 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ ( semi @ SV205 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1045,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) )
| ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1046,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) )
| ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[986]) ).
thf(1047,plain,
! [SV136: $i,SV64: $i] :
( ( ! [SY492: $i,SY493: $i] :
( ( SV64 != SY492 )
| ( SV136 != SY493 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY492 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY493 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1048,plain,
! [SV136: $i,SV64: $i] :
( ( ! [SY494: $i,SY495: $i] :
( ( SV64 != SY495 )
| ( SV136 != SY494 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY494 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY495 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1049,plain,
! [SV65: $i,SV137: $i,SV166: $i,SV181: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV181 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1050,plain,
! [SV65: $i,SV137: $i,SV166: $i,SV181: $i] :
( ( ( ! [SY559: $i,SY560: $i] :
( ~ ( ~ ! [SY561: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY559 @ SY561 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY560 @ SY561 ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SY560 @ SY559 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SY559 @ SV166 @ SY560 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1051,plain,
! [SV66: $i,SV228: $i,SV250: $i,SV206: $i] :
( ( ( ! [SY611: $i] :
( ! [SY612: $i] :
( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SY611 ) )
| ( SV228 != SY612 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SY611 ) @ SY612 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SY611 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1052,plain,
! [SV229: $i,SV207: $i,SV66: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1053,plain,
! [SV243: $i,SV138: $i,SV230: $i,SV67: $i] :
( ( ( ( SV67 != SV230 )
| ( SV138 != SV243 ) )
= $true )
| ( ( ( semi @ SV67 @ SV138 )
= ( semi @ SV230 @ SV243 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[993]) ).
thf(1054,plain,
! [SV138: $i,SV67: $i] :
( ( ! [SY503: $i] :
( ! [SY504: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SY503 @ SY504 ) )
| ( SV67 = SY503 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1055,plain,
! [SV138: $i,SV67: $i] :
( ( ! [SY505: $i,SY506: $i] :
( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SY505 @ SY506 ) )
| ( SV138 = SY506 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1056,plain,
! [SV231: $i,SV208: $i,SV68: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV208 ) @ SV231 ) ) )
= $false )
| ( ( ( SV68 = SV208 )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SV231 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1057,plain,
! [SV251: $i,SV68: $i] :
( ( ( SV68 != SV251 )
| ! [SY613: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV251 ) @ SY613 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1058,plain,
! [SV252: $i,SV68: $i] :
( ( ! [SY614: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SY614 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV252 ) @ SY614 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1059,plain,
! [SV139: $i,SV69: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ ( sK25_B @ SV139 @ SV69 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV69 ) @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1060,plain,
! [SV140: $i,SV70: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ ( sK16_X_2 @ SV140 @ SV70 ) ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1061,plain,
! [SV70: $i,SV140: $i] :
( ( ( ( ( sK16_X_2 @ SV140 @ SV70 )
!= SV140 ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1062,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1063,plain,
! [SV182: $i] :
( ( ( SV182
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) )
= $true )
| ( ( SV182 = bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1064,plain,
! [SV182: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) ) )
= $true )
| ( ( SV182 = bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1005]) ).
thf(1065,plain,
! [SV244: $i,SV233: $i,SV183: $i] :
( ( ( ( SV183
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV233 ) @ SV244 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV233 ) @ SV244 ) )
= $true )
| ( ( ( SV183 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1066,plain,
! [SV142: $i,SV167: $i,SV184: $i,SV210: $i,SV72: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1067,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1068,plain,
! [SV188: $i,SV245: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV245 ) @ SV188 ) )
= $false )
| ( ( SV188 = bot_bo1687970473a_bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1069,plain,
! [SV168: $i,SV74: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( sK13_Y_1 @ SV168 @ SV74 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1070,plain,
! [SV74: $i,SV168: $i] :
( ( ( ( sK13_Y_1 @ SV168 @ SV74 )
= SV168 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1071,plain,
! [SV234: $i,SV213: $i,SV75: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV213 ) @ SV234 ) )
= $false )
| ( ( ( SV75 = SV234 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ SV213 @ SV234 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1072,plain,
! [SV253: $i,SV75: $i] :
( ( ! [SY615: $i] :
( ( SV75 != SY615 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV253 ) @ SY615 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1073,plain,
! [SV75: $i,SV254: $i] :
( ( ! [SY616: $i] :
( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV254 @ SY616 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV254 ) @ SY616 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1074,plain,
! [SV76: $i,SV144: $i,SV169: $i,SV189: $i,SV214: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV214 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1075,plain,
! [SV190: $i] :
( ( ( ( SV190
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SV190 ) ) @ ( sK17_A_1 @ SV190 ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SV190 ) ) ) )
= $false )
| ( ( SV190 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1076,plain,
! [SV246: $i] :
( ( ( ( SV246 != bot_bo1687970473a_bool ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV246 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1019]) ).
thf(1077,plain,
! [SV247: $i] :
( ( ( ! [SY609: $i] :
( ! [SY610: $i] :
( SV247
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY610 ) @ SY609 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SY609 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV247 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1078,plain,
! [SV77: $i,SV235: $i,SV215: $i] :
( ( ( SV215 = SV235 )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV215 ) @ bot_bo1687970473a_bool ) ) @ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1079,plain,
! [SV236: $i,SV216: $i,SV77: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV77 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV216 ) @ bot_bo1687970473a_bool ) ) @ SV236 ) )
= $false )
| ( ( SV216 = SV236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1080,plain,
! [SV170: $i,SV255: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ! [SY617: $i] :
( ( SV78 != SV193 )
| ( SV145 != SV255 )
| ( SV170 != SY617 )
| ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV255 @ SY617 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1081,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ~ ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
| ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) )
| ~ ! [SY577: $i,SY578: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY577 @ SY578 ) )
| ( SV170 = SY578 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1082,plain,
! [SV237: $i,SV79: $i,SV219: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV79 ) )
= $true )
| ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV237 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV79 ) )
| ( SV237 = SV79 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV237 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1027]) ).
thf(1083,plain,
! [SV238: $i,SV79: $i,SV220: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV79 ) )
= $true )
| ( ( ( SV238 != SV79 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV238 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV79 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV238 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1084,plain,
! [SV248: $i,SV195: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV195 @ SV248 ) )
= $false )
| ( ( ( collec1266446174iple_a @ SV195 )
= bot_bo1687970473a_bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1085,plain,
! [SV80: $i,SV196: $i,SV171: $i,SV146: $i] :
( ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1086,plain,
! [SV146: $i,SV171: $i,SV196: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1087,plain,
! [SV81: $i,SV197: $i,SV147: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SV197 @ SV147 @ SV81 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1088,plain,
! [SV81: $i,SV147: $i,SV197: $i] :
( ( ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
!= SV197 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1032]) ).
thf(1089,plain,
! [SV249: $i,SV199: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV199 @ SV249 ) )
= $false )
| ( ( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ SV199 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1090,plain,
! [SV148: $i,SV82: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( sK15_X_2 @ SV148 @ SV82 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1091,plain,
! [SV82: $i,SV148: $i] :
( ( ( ( ( sK15_X_2 @ SV148 @ SV82 )
!= SV148 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1092,plain,
! [SV239: $i,SV201: $i] :
( ( ( SV201 = bot_bo1687970473a_bool )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV239 ) @ SV201 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1093,plain,
! [SV83: $i,SV241: $i,SV224: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV224 ) @ SV241 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV224 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SV241 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1094,plain,
! [SV256: $i,SV83: $i,SV225: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV225 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV83 ) @ SV256 ) ) )
= $true )
| ( ( SV225 = SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1095,plain,
! [SV84: $i,SV149: $i,SV242: $i,SV226: $i,SV204: $i,SV172: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1096,plain,
! [SV150: $i,SV85: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ ( sK26_B @ SV150 @ SV85 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV85 ) @ SV150 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1097,plain,
! [SV205: $i,SV173: $i,SV101: $i,SV20: $i,SV227: $i,SV156: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV227 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ ( semi @ SV205 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ SV205 @ SV227 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1098,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) )
| ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1099,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) )
| ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1100,plain,
! [SV136: $i,SV257: $i,SV64: $i] :
( ( ! [SY618: $i] :
( ( SV64 != SV257 )
| ( SV136 != SY618 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV257 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY618 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1101,plain,
! [SV258: $i,SV136: $i,SV64: $i] :
( ( ! [SY619: $i] :
( ( SV64 != SY619 )
| ( SV136 != SV258 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV258 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY619 ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1102,plain,
! [SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV259: $i] :
( ( ( ! [SY620: $i] :
( ~ ( ~ ! [SY621: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SY621 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SY620 @ SY621 ) @ ( sK23_SY283 @ SY620 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SY620 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SY620 ) ) @ bot_bo1687970473a_bool ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1103,plain,
! [SV66: $i,SV228: $i,SV260: $i,SV250: $i,SV206: $i] :
( ( ( ! [SY622: $i] :
( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SV260 ) )
| ( SV228 != SY622 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SV260 ) @ SY622 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SV260 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1104,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1105,plain,
! [SV243: $i,SV138: $i,SV230: $i,SV67: $i] :
( ( ( ( SV67 != SV230 ) )
= $true )
| ( ( ( SV138 != SV243 ) )
= $true )
| ( ( ( semi @ SV67 @ SV138 )
= ( semi @ SV230 @ SV243 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1106,plain,
! [SV261: $i,SV138: $i,SV67: $i] :
( ( ! [SY623: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SV261 @ SY623 ) )
| ( SV67 = SV261 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1107,plain,
! [SV262: $i,SV138: $i,SV67: $i] :
( ( ! [SY624: $i] :
( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SV262 @ SY624 ) )
| ( SV138 = SY624 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1108,plain,
! [SV231: $i,SV208: $i,SV68: $i] :
( ( ( SV68 = SV208 )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SV231 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV208 ) @ SV231 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1109,plain,
! [SV251: $i,SV68: $i] :
( ( ( ( SV68 != SV251 ) )
= $true )
| ( ( ! [SY613: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV251 ) @ SY613 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1110,plain,
! [SV252: $i,SV263: $i,SV68: $i] :
( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SV263 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV252 ) @ SV263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1058]) ).
thf(1111,plain,
! [SV70: $i,SV140: $i] :
( ( ( ( sK16_X_2 @ SV140 @ SV70 )
= SV140 )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV70 )
= SV140 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV70 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1112,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1113,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1114,plain,
! [SV182: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK19_X_2 @ SV182 ) ) @ ( sK20_SY275 @ SV182 ) ) )
= $false )
| ( ( SV182 = bot_bo1687970473a_bool )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1115,plain,
! [SV244: $i,SV233: $i,SV183: $i] :
( ( ( SV183
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV233 ) @ SV244 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV233 ) @ SV244 ) )
= $true )
| ( ( ( SV183 != bot_bo1687970473a_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1116,plain,
! [SV142: $i,SV167: $i,SV184: $i,SV210: $i,SV72: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1117,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1118,plain,
! [SV168: $i,SV74: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ SV168 ) )
= $false )
| ( ( ( sK13_Y_1 @ SV168 @ SV74 )
= SV168 )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV74 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1119,plain,
! [SV213: $i,SV234: $i,SV75: $i] :
( ( ( SV75 = SV234 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV213 @ SV234 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV213 ) @ SV234 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1120,plain,
! [SV253: $i,SV264: $i,SV75: $i] :
( ( ( SV75 != SV264 )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV253 ) @ SV264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1121,plain,
! [SV75: $i,SV265: $i,SV254: $i] :
( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV254 @ SV265 ) )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV254 ) @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1122,plain,
! [SV76: $i,SV144: $i,SV169: $i,SV189: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV214 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1123,plain,
! [SV190: $i] :
( ( ( ( SV190
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SV190 ) ) @ ( sK17_A_1 @ SV190 ) ) ) )
= $false )
| ( ( SV190 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1124,plain,
! [SV190: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SV190 ) ) ) )
= $false )
| ( ( SV190 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1125,plain,
! [SV246: $i] :
( ( ( SV246 = bot_bo1687970473a_bool )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV246 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1126,plain,
! [SV266: $i,SV247: $i] :
( ( ( ! [SY625: $i] :
( SV247
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY625 ) @ SV266 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV266 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV247 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1127,plain,
! [SV267: $i,SV170: $i,SV255: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ( SV78 != SV193 )
| ( SV145 != SV255 )
| ( SV170 != SV267 )
| ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV255 @ SV267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1128,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ~ ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
| ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1081]) ).
thf(1129,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ! [SY577: $i,SY578: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY577 @ SY578 ) )
| ( SV170 = SY578 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1081]) ).
thf(1130,plain,
! [SV79: $i,SV237: $i,SV219: $i] :
( ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV237 )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV79 ) ) )
= $true )
| ( ( SV237 = SV79 )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV79 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV237 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1131,plain,
! [SV220: $i,SV79: $i,SV238: $i] :
( ( ( ( SV238 != SV79 ) )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV238 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV79 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV79 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV238 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1132,plain,
! [SV80: $i,SV196: $i,SV171: $i,SV146: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1133,plain,
! [SV146: $i,SV171: $i,SV196: $i,SV80: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1086]) ).
thf(1134,plain,
! [SV81: $i,SV197: $i,SV147: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SV197 @ SV147 @ SV81 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1135,plain,
! [SV81: $i,SV147: $i,SV197: $i] :
( ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
= SV197 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1136,plain,
! [SV82: $i,SV148: $i] :
( ( ( ( sK15_X_2 @ SV148 @ SV82 )
= SV148 )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV82 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV82 @ SV148 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1137,plain,
! [SV84: $i,SV172: $i,SV204: $i,SV226: $i,SV242: $i,SV149: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1138,plain,
! [SV205: $i,SV173: $i,SV101: $i,SV20: $i,SV227: $i,SV156: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV227 @ SV20 @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ ( semi @ SV205 @ SV20 ) @ SV101 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV156 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV173 @ SV205 @ SV227 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1139,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1140,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1141,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1142,plain,
! [SV136: $i,SV64: $i] :
( ( ~ ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1143,plain,
! [SV268: $i,SV136: $i,SV257: $i,SV64: $i] :
( ( ( SV64 != SV257 )
| ( SV136 != SV268 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV257 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV268 ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1144,plain,
! [SV258: $i,SV136: $i,SV269: $i,SV64: $i] :
( ( ( SV64 != SV269 )
| ( SV136 != SV258 )
| ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV258 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV269 ) @ bot_bo1687970473a_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1145,plain,
! [SV270: $i,SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV259: $i] :
( ( ( ~ ( ~ ! [SY626: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SY626 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SY626 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1102]) ).
thf(1146,plain,
! [SV66: $i,SV228: $i,SV260: $i,SV250: $i,SV206: $i] :
( ( ( ! [SY622: $i] :
( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SV260 ) )
| ( SV228 != SY622 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SV260 ) @ SY622 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SV260 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1147,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1148,plain,
! [SV66: $i,SV207: $i,SV229: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1149,plain,
! [SV243: $i,SV138: $i,SV230: $i,SV67: $i] :
( ( ( SV67 = SV230 )
= $false )
| ( ( ( SV138 != SV243 ) )
= $true )
| ( ( ( semi @ SV67 @ SV138 )
= ( semi @ SV230 @ SV243 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1150,plain,
! [SV261: $i,SV138: $i,SV67: $i] :
( ( ( ! [SY623: $i] :
( ( semi @ SV67 @ SV138 )
!= ( semi @ SV261 @ SY623 ) ) )
= $true )
| ( ( SV67 = SV261 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1151,plain,
! [SV271: $i,SV262: $i,SV138: $i,SV67: $i] :
( ( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SV262 @ SV271 ) )
| ( SV138 = SV271 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1152,plain,
! [SV251: $i,SV68: $i] :
( ( ( SV68 = SV251 )
= $false )
| ( ( ! [SY613: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV251 ) @ SY613 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1153,plain,
! [SV252: $i,SV263: $i,SV68: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SV263 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV252 ) @ SV263 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1154,plain,
! [SV71: $i,SV141: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1155,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1156,plain,
! [SV244: $i,SV233: $i,SV183: $i] :
( ( ( SV183 = bot_bo1687970473a_bool )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV233 ) @ SV244 ) )
= $true )
| ( ( SV183
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV233 ) @ SV244 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1157,plain,
! [SV142: $i,SV167: $i,SV184: $i,SV210: $i,SV72: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1158,plain,
! [SV72: $i,SV142: $i,SV184: $i,SV210: $i,SV167: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1159,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1160,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1161,plain,
! [SV253: $i,SV264: $i,SV75: $i] :
( ( ( ( SV75 != SV264 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV253 ) @ SV264 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1162,plain,
! [SV75: $i,SV265: $i,SV254: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV254 @ SV265 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV254 ) @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1163,plain,
! [SV76: $i,SV144: $i,SV169: $i,SV189: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV214 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1164,plain,
! [SV144: $i,SV169: $i,SV189: $i,SV214: $i,SV76: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1165,plain,
! [SV190: $i] :
( ( ( SV190
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK18_SY274 @ SV190 ) ) @ ( sK17_A_1 @ SV190 ) ) )
= $true )
| ( ( SV190 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1166,plain,
! [SV190: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK17_A_1 @ SV190 ) ) )
= $true )
| ( ( SV190 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1167,plain,
! [SV266: $i,SV247: $i] :
( ( ( ! [SY625: $i] :
( SV247
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY625 ) @ SV266 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV266 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV247 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1168,plain,
! [SV267: $i,SV170: $i,SV255: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ( ( SV78 != SV193 )
| ( SV145 != SV255 )
| ( SV170 != SV267 ) )
= $true )
| ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV255 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1169,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
| ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1128]) ).
thf(1170,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ! [SY577: $i,SY578: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY577 @ SY578 ) )
| ( SV170 = SY578 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1171,plain,
! [SV79: $i,SV237: $i,SV219: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV237 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV219 ) @ SV79 ) )
= $false )
| ( ( SV237 = SV79 )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV79 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV219 ) @ SV237 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1172,plain,
! [SV220: $i,SV79: $i,SV238: $i] :
( ( ( SV238 = SV79 )
= $false )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV238 )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV220 ) @ SV79 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV79 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV220 ) @ SV238 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1173,plain,
! [SV146: $i,SV171: $i,SV196: $i,SV80: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1174,plain,
! [SV197: $i,SV81: $i,SV147: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SV197 @ SV147 @ SV81 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1175,plain,
! [SV81: $i,SV197: $i,SV147: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) )
= $false )
| ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
= SV197 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
| ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1176,plain,
! [SV84: $i,SV172: $i,SV204: $i,SV226: $i,SV242: $i,SV149: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ~ ~ ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1177,plain,
! [SV136: $i,SV64: $i] :
( ( ! [SY484: $i,SY485: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY484 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY485 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY484 )
| ( SV64 = SY485 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1178,plain,
! [SV136: $i,SV64: $i] :
( ( ! [SY486: $i] :
( ! [SY487: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY486 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY487 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SY486 )
| ( SV136 = SY486 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1140]) ).
thf(1179,plain,
! [SV136: $i,SV64: $i] :
( ( ! [SY488: $i,SY489: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY488 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY489 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY489 )
| ( SV64 = SY489 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1180,plain,
! [SV136: $i,SV64: $i] :
( ( ! [SY490: $i,SY491: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY490 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY491 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY491 )
| ( SV136 = SY490 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1181,plain,
! [SV268: $i,SV136: $i,SV257: $i,SV64: $i] :
( ( ( ( SV64 != SV257 )
| ( SV136 != SV268 ) )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV257 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV268 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1143]) ).
thf(1182,plain,
! [SV258: $i,SV136: $i,SV269: $i,SV64: $i] :
( ( ( ( SV64 != SV269 )
| ( SV136 != SV258 ) )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV258 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV269 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1183,plain,
! [SV270: $i,SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV259: $i] :
( ( ( ~ ( ~ ! [SY626: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SY626 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SY626 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1184,plain,
! [SV66: $i,SV272: $i,SV228: $i,SV260: $i,SV250: $i,SV206: $i] :
( ( ( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SV260 ) )
| ( SV228 != SV272 )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SV260 ) @ SV272 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SV260 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1185,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( ~ ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1186,plain,
! [SV66: $i,SV207: $i,SV229: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1187,plain,
! [SV230: $i,SV67: $i,SV243: $i,SV138: $i] :
( ( ( SV138 = SV243 )
= $false )
| ( ( SV67 = SV230 )
= $false )
| ( ( ( semi @ SV67 @ SV138 )
= ( semi @ SV230 @ SV243 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1188,plain,
! [SV273: $i,SV261: $i,SV138: $i,SV67: $i] :
( ( ( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SV261 @ SV273 ) ) )
= $true )
| ( ( SV67 = SV261 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1189,plain,
! [SV271: $i,SV262: $i,SV138: $i,SV67: $i] :
( ( ( ( ( semi @ SV67 @ SV138 )
!= ( semi @ SV262 @ SV271 ) ) )
= $true )
| ( ( SV138 = SV271 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1190,plain,
! [SV274: $i,SV251: $i,SV68: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV251 ) @ SV274 ) ) )
= $true )
| ( ( SV68 = SV251 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1191,plain,
! [SV252: $i,SV263: $i,SV68: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ SV263 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV68 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV252 ) @ SV263 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1192,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1193,plain,
! [SV142: $i,SV167: $i,SV184: $i,SV210: $i,SV72: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV72 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1194,plain,
! [SV72: $i,SV142: $i,SV184: $i,SV210: $i,SV167: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1195,plain,
! [SV73: $i,SV143: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1196,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1197,plain,
! [SV253: $i,SV264: $i,SV75: $i] :
( ( ( SV75 = SV264 )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV253 ) @ SV264 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1198,plain,
! [SV75: $i,SV265: $i,SV254: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV254 @ SV265 ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV75 ) @ SV254 ) @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1199,plain,
! [SV76: $i,SV144: $i,SV169: $i,SV189: $i,SV214: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV214 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1200,plain,
! [SV144: $i,SV169: $i,SV189: $i,SV214: $i,SV76: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1201,plain,
! [SV266: $i,SV275: $i,SV247: $i] :
( ( ( ( SV247
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV275 ) @ SV266 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV266 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV247 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1202,plain,
! [SV267: $i,SV170: $i,SV255: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ( ( SV78 != SV193 )
| ( SV145 != SV255 ) )
= $true )
| ( ( ( SV170 != SV267 ) )
= $true )
| ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV255 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1168]) ).
thf(1203,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
| ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1204,plain,
! [SV276: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ! [SY627: $i] :
( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SV276 @ SY627 ) )
| ( SV170 = SY627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1205,plain,
! [SV146: $i,SV171: $i,SV196: $i,SV80: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1206,plain,
! [SV80: $i,SV146: $i,SV171: $i,SV196: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1207,plain,
! [SV197: $i,SV81: $i,SV147: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ ( sK14_Y_1 @ SV197 @ SV147 @ SV81 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1208,plain,
! [SV197: $i,SV81: $i,SV147: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) ) )
= $true )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 )
= $true )
| ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
= SV197 )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1175]) ).
thf(1209,plain,
! [SV84: $i,SV172: $i,SV204: $i,SV226: $i,SV242: $i,SV149: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1210,plain,
! [SV84: $i,SV149: $i,SV172: $i,SV226: $i,SV242: $i,SV204: $i] :
( ( ( ~ ~ ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1211,plain,
! [SV277: $i,SV136: $i,SV64: $i] :
( ( ! [SY628: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV277 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY628 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SV277 )
| ( SV64 = SY628 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1212,plain,
! [SV278: $i,SV136: $i,SV64: $i] :
( ( ! [SY629: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV278 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY629 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SV278 )
| ( SV136 = SV278 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1213,plain,
! [SV279: $i,SV136: $i,SV64: $i] :
( ( ! [SY630: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV279 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY630 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY630 )
| ( SV64 = SY630 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1214,plain,
! [SV280: $i,SV136: $i,SV64: $i] :
( ( ! [SY631: $i] :
( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV280 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY631 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SY631 )
| ( SV136 = SV280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1215,plain,
! [SV268: $i,SV136: $i,SV257: $i,SV64: $i] :
( ( ( ( SV64 != SV257 ) )
= $true )
| ( ( ( SV136 != SV268 ) )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV257 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV268 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1216,plain,
! [SV258: $i,SV136: $i,SV269: $i,SV64: $i] :
( ( ( ( SV64 != SV269 ) )
= $true )
| ( ( ( SV136 != SV258 ) )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV258 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV269 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1217,plain,
! [SV270: $i,SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV259: $i] :
( ( ( ~ ! [SY626: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SY626 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SY626 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1218,plain,
! [SV66: $i,SV272: $i,SV228: $i,SV260: $i,SV250: $i,SV206: $i] :
( ( ( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SV260 ) )
| ( SV228 != SV272 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SV260 ) @ SV272 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SV260 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1184]) ).
thf(1219,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
| ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1220,plain,
! [SV66: $i,SV207: $i,SV229: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1221,plain,
! [SV273: $i,SV261: $i,SV138: $i,SV67: $i] :
( ( ( ( semi @ SV67 @ SV138 )
= ( semi @ SV261 @ SV273 ) )
= $false )
| ( ( SV67 = SV261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1222,plain,
! [SV271: $i,SV262: $i,SV138: $i,SV67: $i] :
( ( ( ( semi @ SV67 @ SV138 )
= ( semi @ SV262 @ SV271 ) )
= $false )
| ( ( SV138 = SV271 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1223,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1224,plain,
! [SV141: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1225,plain,
! [SV72: $i,SV142: $i,SV184: $i,SV210: $i,SV167: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV167 @ ( sK37_Z_1 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) @ ( sK38_SY295 @ SV210 @ SV184 @ SV167 @ SV142 @ SV72 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV72 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV142 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV167 @ SV184 @ SV210 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1226,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
| ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1227,plain,
! [SV144: $i,SV169: $i,SV189: $i,SV214: $i,SV76: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV76 @ ( sK39_Z_1 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) @ ( sK40_SY296 @ SV214 @ SV189 @ SV169 @ SV144 @ SV76 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV76 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV144 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV169 @ SV189 @ SV214 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1228,plain,
! [SV266: $i,SV275: $i,SV247: $i] :
( ( ( SV247
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV275 ) @ SV266 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV266 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV247 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1229,plain,
! [SV267: $i,SV170: $i,SV255: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ( ( SV78 != SV193 ) )
= $true )
| ( ( ( SV145 != SV255 ) )
= $true )
| ( ( ( SV170 != SV267 ) )
= $true )
| ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV255 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1202]) ).
thf(1230,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1231,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ~ ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1232,plain,
! [SV281: $i,SV276: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SV276 @ SV281 ) )
| ( SV170 = SV281 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1233,plain,
! [SV146: $i,SV171: $i,SV196: $i,SV80: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV80 @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ SV196 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1234,plain,
! [SV80: $i,SV146: $i,SV171: $i,SV196: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1235,plain,
! [SV197: $i,SV81: $i,SV147: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV81 ) )
= $false )
| ( ( ( hAPP_f1826273671iple_a @ the_Ho1745054714iple_a @ SV147 )
= SV81 )
= $true )
| ( ( ( sK14_Y_1 @ SV197 @ SV147 @ SV81 )
= SV197 )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ SV147 @ SV197 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1236,plain,
! [SV84: $i,SV172: $i,SV204: $i,SV226: $i,SV242: $i,SV149: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV149 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1237,plain,
! [SV84: $i,SV149: $i,SV172: $i,SV226: $i,SV242: $i,SV204: $i] :
( ( ( ~ ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1238,plain,
! [SV282: $i,SV277: $i,SV136: $i,SV64: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV277 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV282 ) @ bot_bo1687970473a_bool ) ) )
| ( SV64 = SV277 )
| ( SV64 = SV282 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1211]) ).
thf(1239,plain,
! [SV278: $i,SV136: $i,SV64: $i] :
( ( ( ! [SY629: $i] :
( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV278 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SY629 ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ( SV64 = SV278 )
| ( SV136 = SV278 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1240,plain,
! [SV283: $i,SV279: $i,SV136: $i,SV64: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV279 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV283 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SV283 )
| ( SV64 = SV283 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1241,plain,
! [SV284: $i,SV280: $i,SV136: $i,SV64: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV280 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV284 ) @ bot_bo1687970473a_bool ) ) )
| ( SV136 = SV284 )
| ( SV136 = SV280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1242,plain,
! [SV268: $i,SV136: $i,SV257: $i,SV64: $i] :
( ( ( SV64 = SV257 )
= $false )
| ( ( ( SV136 != SV268 ) )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV257 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV268 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1243,plain,
! [SV258: $i,SV136: $i,SV269: $i,SV64: $i] :
( ( ( SV64 = SV269 )
= $false )
| ( ( ( SV136 != SV258 ) )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV258 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV269 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1244,plain,
! [SV270: $i,SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV259: $i] :
( ( ( ~ ! [SY626: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SY626 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SY626 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1245,plain,
! [SV259: $i,SV270: $i,SV137: $i,SV166: $i,SV181: $i,SV65: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1246,plain,
! [SV66: $i,SV272: $i,SV228: $i,SV260: $i,SV250: $i,SV206: $i] :
( ( ( ( SV206
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SV260 ) ) )
= $true )
| ( ( ( SV228 != SV272 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SV260 ) @ SV272 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SV260 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1247,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( ~ ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1248,plain,
! [SV207: $i,SV229: $i,SV66: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1249,plain,
! [SV71: $i,SV141: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1250,plain,
! [SV141: $i,SV71: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1251,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1252,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1253,plain,
! [SV275: $i,SV247: $i,SV266: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV266 ) )
= $false )
| ( ( SV247
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV275 ) @ SV266 ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV247 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1254,plain,
! [SV267: $i,SV170: $i,SV255: $i,SV145: $i,SV193: $i,SV78: $i] :
( ( ( SV78 = SV193 )
= $false )
| ( ( ( SV145 != SV255 ) )
= $true )
| ( ( ( SV170 != SV267 ) )
= $true )
| ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV255 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1255,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) )
| ( SV78 = SV193 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1256,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ! [SY575: $i] :
( ! [SY576: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY575 @ SY576 ) )
| ( SV145 = SY575 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1257,plain,
! [SV281: $i,SV276: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SV276 @ SV281 ) ) )
= $true )
| ( ( SV170 = SV281 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1258,plain,
! [SV80: $i,SV146: $i,SV171: $i,SV196: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK11_A_2 @ SV196 @ SV171 @ SV146 @ SV80 ) ) @ ( sK12_SY273 @ SV196 @ SV171 @ SV146 @ SV80 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV80 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV146 ) @ SV171 ) ) @ SV196 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1259,plain,
! [SV84: $i,SV149: $i,SV172: $i,SV226: $i,SV242: $i,SV204: $i] :
( ( ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
| ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1260,plain,
! [SV282: $i,SV277: $i,SV136: $i,SV64: $i] :
( ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV277 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV282 ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ( SV64 = SV277 )
| ( SV64 = SV282 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1261,plain,
! [SV285: $i,SV278: $i,SV136: $i,SV64: $i] :
( ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV278 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV285 ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ( SV64 = SV278 )
| ( SV136 = SV278 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1262,plain,
! [SV283: $i,SV279: $i,SV136: $i,SV64: $i] :
( ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV279 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV283 ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ( SV136 = SV283 )
| ( SV64 = SV283 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1240]) ).
thf(1263,plain,
! [SV284: $i,SV280: $i,SV136: $i,SV64: $i] :
( ( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV280 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV284 ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( ( SV136 = SV284 )
| ( SV136 = SV280 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1264,plain,
! [SV257: $i,SV64: $i,SV268: $i,SV136: $i] :
( ( ( SV136 = SV268 )
= $false )
| ( ( SV64 = SV257 )
= $false )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV257 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV268 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1265,plain,
! [SV269: $i,SV64: $i,SV258: $i,SV136: $i] :
( ( ( SV136 = SV258 )
= $false )
| ( ( SV64 = SV269 )
= $false )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV258 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV269 ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1266,plain,
! [SV270: $i,SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV259: $i] :
( ( ( ! [SY626: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SY626 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SY626 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1267,plain,
! [SV259: $i,SV270: $i,SV137: $i,SV166: $i,SV181: $i,SV65: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1268,plain,
! [SV66: $i,SV272: $i,SV228: $i,SV260: $i,SV250: $i,SV206: $i] :
( ( ( SV206
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SV260 ) )
= $false )
| ( ( ( SV228 != SV272 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SV260 ) @ SV272 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SV260 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1269,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( ~ ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1270,plain,
! [SV207: $i,SV229: $i,SV66: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) @ ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1271,plain,
! [SV71: $i,SV141: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1272,plain,
! [SV141: $i,SV71: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1273,plain,
! [SV73: $i,SV143: $i] :
( ( ( ( ( sK2_SY268 @ SV143 @ SV73 )
!= bot_bo1687970473a_bool ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1274,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1252]) ).
thf(1275,plain,
! [SV267: $i,SV170: $i,SV193: $i,SV78: $i,SV255: $i,SV145: $i] :
( ( ( SV145 = SV255 )
= $false )
| ( ( SV78 = SV193 )
= $false )
| ( ( ( SV170 != SV267 ) )
= $true )
| ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV255 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1276,plain,
! [SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ! [SY573: $i,SY574: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SY573 @ SY574 ) ) )
= $true )
| ( ( SV78 = SV193 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1255]) ).
thf(1277,plain,
! [SV286: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ! [SY632: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SV286 @ SY632 ) )
| ( SV145 = SV286 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1278,plain,
! [SV281: $i,SV276: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV276 @ SV281 ) )
= $false )
| ( ( SV170 = SV281 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1279,plain,
! [SV84: $i,SV149: $i,SV172: $i,SV226: $i,SV242: $i,SV204: $i] :
( ( ( ~ ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1280,plain,
! [SV149: $i,SV172: $i,SV204: $i,SV226: $i,SV242: $i,SV84: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1281,plain,
! [SV282: $i,SV277: $i,SV136: $i,SV64: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV277 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV282 ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ( SV64 = SV277 )
| ( SV64 = SV282 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1282,plain,
! [SV285: $i,SV278: $i,SV136: $i,SV64: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV278 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV285 ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ( SV64 = SV278 )
| ( SV136 = SV278 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1283,plain,
! [SV283: $i,SV279: $i,SV136: $i,SV64: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV279 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV283 ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ( SV136 = SV283 )
| ( SV64 = SV283 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1284,plain,
! [SV284: $i,SV280: $i,SV136: $i,SV64: $i] :
( ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV280 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV284 ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( ( SV136 = SV284 )
| ( SV136 = SV280 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1285,plain,
! [SV270: $i,SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV287: $i,SV259: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SV287 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SV287 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1286,plain,
! [SV259: $i,SV270: $i,SV137: $i,SV166: $i,SV181: $i,SV65: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1287,plain,
! [SV66: $i,SV260: $i,SV250: $i,SV206: $i,SV272: $i,SV228: $i] :
( ( ( SV228 = SV272 )
= $false )
| ( ( SV206
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SV260 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SV260 ) @ SV272 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SV260 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1288,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
| ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1289,plain,
! [SV141: $i,SV71: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1272]) ).
thf(1290,plain,
! [SV141: $i,SV71: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1272]) ).
thf(1291,plain,
! [SV73: $i,SV143: $i] :
( ( ( ( sK2_SY268 @ SV143 @ SV73 )
= bot_bo1687970473a_bool )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1292,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1293,plain,
! [SV255: $i,SV145: $i,SV193: $i,SV78: $i,SV267: $i,SV170: $i] :
( ( ( SV170 = SV267 )
= $false )
| ( ( SV78 = SV193 )
= $false )
| ( ( SV145 = SV255 )
= $false )
| ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV255 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1275]) ).
thf(1294,plain,
! [SV288: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ! [SY633: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SV288 @ SY633 ) ) )
= $true )
| ( ( SV78 = SV193 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1295,plain,
! [SV286: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ! [SY632: $i] :
( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SV286 @ SY632 ) ) )
= $true )
| ( ( SV145 = SV286 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1296,plain,
! [SV84: $i,SV149: $i,SV172: $i,SV226: $i,SV242: $i,SV204: $i] :
( ( ( ! [SY608: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SY608 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SY608 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1297,plain,
! [SV149: $i,SV172: $i,SV204: $i,SV226: $i,SV242: $i,SV84: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1298,plain,
! [SV136: $i,SV282: $i,SV277: $i,SV64: $i] :
( ( ( SV64 = SV277 )
= $true )
| ( ( SV64 = SV282 )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV277 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV282 ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1299,plain,
! [SV285: $i,SV136: $i,SV278: $i,SV64: $i] :
( ( ( SV64 = SV278 )
= $true )
| ( ( SV136 = SV278 )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV278 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV285 ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1282]) ).
thf(1300,plain,
! [SV279: $i,SV64: $i,SV283: $i,SV136: $i] :
( ( ( SV136 = SV283 )
= $true )
| ( ( SV64 = SV283 )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV279 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV283 ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1301,plain,
! [SV64: $i,SV280: $i,SV284: $i,SV136: $i] :
( ( ( SV136 = SV284 )
= $true )
| ( ( SV136 = SV280 )
= $true )
| ( ( ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV64 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV136 ) @ bot_bo1687970473a_bool ) )
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV280 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV284 ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1284]) ).
thf(1302,plain,
! [SV270: $i,SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV287: $i,SV259: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SV287 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SV287 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1285]) ).
thf(1303,plain,
! [SV181: $i,SV65: $i,SV270: $i,SV166: $i,SV259: $i,SV137: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV65 @ ( sK21_Z_1 @ SV181 @ SV166 @ SV137 @ SV65 ) ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1304,plain,
! [SV228: $i,SV206: $i,SV272: $i,SV260: $i,SV250: $i,SV66: $i] :
( ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite1734202118iple_a @ SV66 @ SV250 @ SV260 ) @ SV272 ) )
= $false )
| ( ( SV206
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ SV250 ) @ SV260 ) )
= $false )
| ( ( SV228 = SV272 )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ SV250 ) @ SV260 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV206 ) @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1305,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( ( SV207
!= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1306,plain,
! [SV66: $i,SV207: $i,SV229: $i] :
( ( ( ( SV229
!= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1307,plain,
! [SV141: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( sK9_SY272 @ SV141 @ SV71 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1308,plain,
! [SV141: $i,SV71: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1309,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1292]) ).
thf(1310,plain,
! [SV143: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1292]) ).
thf(1311,plain,
! [SV289: $i,SV288: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SV288 @ SV289 ) ) )
= $true )
| ( ( SV78 = SV193 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1312,plain,
! [SV290: $i,SV286: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
!= ( hoare_1050552211iple_a @ SV193 @ SV286 @ SV290 ) ) )
= $true )
| ( ( SV145 = SV286 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1313,plain,
! [SV84: $i,SV149: $i,SV172: $i,SV226: $i,SV242: $i,SV291: $i,SV204: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SV291 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SV291 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1314,plain,
! [SV149: $i,SV172: $i,SV204: $i,SV226: $i,SV242: $i,SV84: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV84 @ ( sK34_Z_1 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1315,plain,
! [SV270: $i,SV65: $i,SV137: $i,SV166: $i,SV181: $i,SV287: $i,SV259: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SV287 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SV287 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1302]) ).
thf(1316,plain,
! [SV66: $i,SV229: $i,SV207: $i] :
( ( ( SV207
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK4_A_2 @ SV229 @ SV207 @ SV66 ) ) @ ( sK5_SY269 @ SV229 @ SV207 @ SV66 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1305]) ).
thf(1317,plain,
! [SV66: $i,SV207: $i,SV229: $i] :
( ( ( SV229
= ( sK6_SY271 @ SV229 @ SV207 @ SV66 ) )
= $true )
| ( ( hBOOL @ ( hAPP_H1927961489a_bool @ ( finite388748825iple_a @ SV66 @ SV207 ) @ SV229 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1306]) ).
thf(1318,plain,
! [SV141: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK8_X_2 @ SV141 @ SV71 ) ) @ ( sK9_SY272 @ SV141 @ SV71 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ SV141 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV71 @ bot_bo1687970473a_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1319,plain,
! [SV73: $i,SV143: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1320,plain,
! [SV143: $i,SV73: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1321,plain,
! [SV289: $i,SV288: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV288 @ SV289 ) )
= $false )
| ( ( SV78 = SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1322,plain,
! [SV290: $i,SV286: $i,SV193: $i,SV170: $i,SV145: $i,SV78: $i] :
( ( ( ( hoare_1050552211iple_a @ SV78 @ SV145 @ SV170 )
= ( hoare_1050552211iple_a @ SV193 @ SV286 @ SV290 ) )
= $false )
| ( ( SV145 = SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1323,plain,
! [SV84: $i,SV149: $i,SV172: $i,SV226: $i,SV242: $i,SV291: $i,SV204: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SV291 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SV291 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1313]) ).
thf(1324,plain,
! [SV65: $i,SV181: $i,SV287: $i,SV270: $i,SV166: $i,SV259: $i,SV137: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV259 @ SV166 @ SV270 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV270 @ SV287 ) @ ( sK23_SY283 @ SV270 @ SV259 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV259 @ SV287 ) @ ( sK22_SY276 @ SV181 @ SV166 @ SV137 @ SV65 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV137 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV181 @ SV166 @ SV65 ) ) @ bot_bo1687970473a_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1325,plain,
! [SV73: $i,SV143: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hAPP_H1926610125l_bool @ member564727580iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1326,plain,
! [SV143: $i,SV73: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
| ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1327,plain,
! [SV84: $i,SV149: $i,SV172: $i,SV226: $i,SV242: $i,SV291: $i,SV204: $i] :
( ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV204 @ SV291 ) @ ( sK35_SY289 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ SV242 @ SV291 ) @ ( sK36_SY292 @ SV242 @ SV226 @ SV204 @ SV172 @ SV149 @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV149 @ SV226 @ SV84 ) ) @ bot_bo1687970473a_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ SV172 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ SV204 @ SV226 @ SV242 ) ) @ bot_bo1687970473a_bool ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1323]) ).
thf(1328,plain,
! [SV143: $i,SV73: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1329,plain,
! [SV143: $i,SV73: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1330,plain,
! [SV143: $i,SV73: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( sK2_SY268 @ SV143 @ SV73 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1328]) ).
thf(1331,plain,
! [SV143: $i,SV73: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1332,plain,
! [SV143: $i,SV73: $i] :
( ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK1_X_2 @ SV143 @ SV73 ) ) @ ( sK2_SY268 @ SV143 @ SV73 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ SV143 ) )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ SV73 @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( sK3_X_2 @ SV143 @ SV73 ) ) @ bot_bo1687970473a_bool ) ) )
= $false )
| ( ( SV143 = bot_bo1687970473a_bool )
= $true )
| ( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1333,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[318,1332,1330,1327,1325,1324,1322,1321,1318,1317,1316,1314,1307,1304,1303,1301,1300,1299,1298,1293,1291,1278,1271,1270,1265,1264,1258,1253,1236,1235,1233,1227,1225,1222,1221,1220,1207,1199,1198,1197,1195,1193,1191,1190,1187,1172,1171,1166,1165,1156,1154,1138,1136,1132,1125,1119,1118,1114,1111,1108,1096,1094,1093,1092,1090,1089,1084,1079,1078,1069,1068,1063,1060,1059,1049,1042,1038,1037,1024,1023,1010,1009,999,984,983,981,980,974,973,940,939,924,923,922,919,918,916,904,901,897,881,857,856,855,851,850,848,846,845,787,785,783,782,777,776,775,774,773,772,771,769,766,762,761,759,702,698,690,689,687,684,673,670,669,666,602,598,596,595,594,589,583,581,578,573,571,566,565,561,559,555,520,508,491,476,473,457,390,389,366,336]) ).
thf(1334,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW470+1 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.33 % Computer : n024.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sun Jun 5 02:45:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.43 ...
% 0.20/0.56
% 0.20/0.56 No.of.Axioms: 143
% 0.20/0.56
% 0.20/0.56 Length.of.Defs: 0
% 0.20/0.56
% 0.20/0.56 Contains.Choice.Funs: false
% 0.45/0.63 ..........
% 0.48/0.71 (rf:2,axioms:103,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:145,loop_count:0,foatp_calls:0,translation:fof_full)........................................................................................................
% 22.83/23.01
% 22.83/23.01 ********************************
% 22.83/23.01 * All subproblems solved! *
% 22.83/23.01 ********************************
% 22.83/23.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:103,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1333,loop_count:0,foatp_calls:1,translation:fof_full)
% 23.77/23.96
% 23.77/23.96 %**** Beginning of derivation protocol ****
% 23.77/23.96 % SZS output start CNFRefutation
% See solution above
% 23.77/23.97
% 23.77/23.97 %**** End of derivation protocol ****
% 23.77/23.97 %**** no. of clauses in derivation: 1294 ****
% 23.77/23.97 %**** clause counter: 1333 ****
% 23.77/23.97
% 23.77/23.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:103,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1333,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------