TSTP Solution File: SCT171+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 : 300s
% DateTime : Thu Aug 31 14:10:27 EDT 2023
% Result : Theorem 1.62s 1.66s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 16:20:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.52/1.59 %-------------------------------------------
% 1.52/1.59 % File :CSE---1.6
% 1.52/1.59 % Problem :theBenchmark
% 1.52/1.59 % Transform :cnf
% 1.52/1.59 % Format :tptp:raw
% 1.52/1.59 % Command :java -jar mcs_scs.jar %d %s
% 1.52/1.59
% 1.52/1.59 % Result :Theorem 0.230000s
% 1.52/1.59 % Output :CNFRefutation 0.230000s
% 1.52/1.59 %-------------------------------------------
% 1.52/1.60 %------------------------------------------------------------------------------
% 1.52/1.60 % File : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% 1.52/1.60 % Domain : Social Choice Theory
% 1.52/1.60 % Problem : Arrow's Impossibility Theorem line 309, 500 axioms selected
% 1.52/1.60 % Version : Especial.
% 1.52/1.60 % English :
% 1.52/1.60
% 1.52/1.60 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.52/1.60 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 1.52/1.60 % Source : [Bla11]
% 1.52/1.60 % Names : arrow_500_fofmg_l309 [Bla11]
% 1.52/1.60
% 1.52/1.60 % Status : Theorem
% 1.52/1.60 % Rating : 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.20 v6.0.0, 0.13 v5.5.0, 0.33 v5.4.0, 0.36 v5.3.0
% 1.52/1.60 % Syntax : Number of formulae : 885 ( 252 unt; 0 def)
% 1.52/1.60 % Number of atoms : 2217 ( 403 equ)
% 1.52/1.60 % Maximal formula atoms : 16 ( 2 avg)
% 1.52/1.60 % Number of connectives : 1618 ( 286 ~; 39 |; 125 &)
% 1.52/1.60 % ( 179 <=>; 989 =>; 0 <=; 0 <~>)
% 1.52/1.60 % Maximal formula depth : 18 ( 5 avg)
% 1.52/1.60 % Maximal term depth : 12 ( 2 avg)
% 1.52/1.60 % Number of predicates : 12 ( 11 usr; 0 prp; 1-2 aty)
% 1.52/1.60 % Number of functors : 440 ( 440 usr; 140 con; 0-3 aty)
% 1.52/1.60 % Number of variables : 1964 (1948 !; 16 ?)
% 1.52/1.60 % SPC : FOF_THM_RFO_SEQ
% 1.52/1.60
% 1.52/1.60 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 1.52/1.60 % 2011-08-09 14:33:32
% 1.52/1.60 % : Encoded with monomorphized guards.
% 1.52/1.60 %------------------------------------------------------------------------------
% 1.52/1.60 %----Explicit typings (127)
% 1.52/1.60 fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OIIA,axiom,
% 1.52/1.60 is_fun292781289l_bool(arrow_885770895le_IIA) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OLin,axiom,
% 1.52/1.60 is_fun1420103068l_bool(arrow_912654623le_Lin) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf,axiom,
% 1.52/1.60 is_fun701126715l_bool(arrow_583275979e_Prof) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Obelow,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1,B_3_1] :
% 1.52/1.60 ( ( is_fun20916972t_bool(B_1_1)
% 1.52/1.60 & is_Arr723427730le_alt(B_2_1)
% 1.52/1.60 & is_Arr723427730le_alt(B_3_1) )
% 1.52/1.60 => is_fun20916972t_bool(arrow_207701375_below(B_1_1,B_2_1,B_3_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Ounanimity,axiom,
% 1.52/1.60 is_fun292781289l_bool(arrow_1550141362nimity) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Finite__Set_Ofinite_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsun,axiom,
% 1.52/1.60 is_fun1420103068l_bool(finite955821396le_alt) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_FunDef_Oin__rel_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1,B_3_1] :
% 1.52/1.60 ( ( is_fun20916972t_bool(B_1_1)
% 1.52/1.60 & is_Arr723427730le_alt(B_2_1)
% 1.52/1.60 & is_Arr723427730le_alt(B_3_1) )
% 1.52/1.60 => is_bool(in_rel1361124802le_alt(B_1_1,B_2_1,B_3_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Fun_Oinj__on_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O,axiom,
% 1.52/1.60 ! [B_1_1] :
% 1.52/1.60 ( is_fun20916972t_bool(B_1_1)
% 1.52/1.60 => is_fun1420103068l_bool(inj_on398823523t_bool(B_1_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc_,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1] :
% 1.52/1.60 ( is_fun2015243113i_bool(B_1_1)
% 1.52/1.60 => is_fun701126715l_bool(pi_Arr1801471756t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oin,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1] :
% 1.52/1.60 ( is_fun701126715l_bool(B_1_1)
% 1.52/1.60 => is_fun292781289l_bool(pi_fun1555365306t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1] :
% 1.52/1.60 ( is_fun20916972t_bool(B_1_1)
% 1.52/1.60 => is_fun1420103068l_bool(pi_Pro1873779901t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt,axiom,
% 1.52/1.60 is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi,axiom,
% 1.52/1.60 is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_HOL_Oundefined_000tc__HOL__Obool,axiom,
% 1.52/1.60 is_bool(undefined_bool(bool)) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy,axiom,
% 1.52/1.60 is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____wylsunqmt,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1] :
% 1.52/1.60 ( is_fun2015243113i_bool(B_1_1)
% 1.52/1.60 => is_fun1084921220e_indi(hilber951314860di_nat(B_1_1,B_2_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool,axiom,
% 1.52/1.60 is_bool(top_top_bool) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____,axiom,
% 1.52/1.60 is_fun2015243113i_bool(top_to207207712i_bool) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL,axiom,
% 1.52/1.60 is_fun1568535512t_bool(top_to1257323279t_bool) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira,axiom,
% 1.52/1.60 is_fun701126715l_bool(top_to935749874l_bool) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde,axiom,
% 1.52/1.60 is_fun292781289l_bool(top_to1849101472l_bool) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord,axiom,
% 1.52/1.60 is_fun1420103068l_bool(top_to846262053l_bool) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir,axiom,
% 1.52/1.60 is_fun20916972t_bool(top_to1773227171t_bool) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi,axiom,
% 1.52/1.60 ! [B_1_1] :
% 1.52/1.60 ( is_fun2015243113i_bool(B_1_1)
% 1.52/1.60 => is_fun2015243113i_bool(collec279390863e_indi(B_1_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Set_OCollect_000tc__Product____Type__Ounit,axiom,
% 1.52/1.60 ! [B_1_1] :
% 1.52/1.60 ( is_fun1568535512t_bool(B_1_1)
% 1.52/1.60 => is_fun1568535512t_bool(collect_Product_unit(B_1_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oi,axiom,
% 1.52/1.60 ! [B_1_1] :
% 1.52/1.60 ( is_fun701126715l_bool(B_1_1)
% 1.52/1.60 => is_fun701126715l_bool(collec1567922785t_bool(B_1_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsu,axiom,
% 1.52/1.60 ! [B_1_1] :
% 1.52/1.60 ( is_fun292781289l_bool(B_1_1)
% 1.52/1.60 => is_fun292781289l_bool(collec1517527055t_bool(B_1_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyls,axiom,
% 1.52/1.60 ! [B_1_1] :
% 1.52/1.60 ( is_fun1420103068l_bool(B_1_1)
% 1.52/1.60 => is_fun1420103068l_bool(collec612883262t_bool(B_1_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O,axiom,
% 1.52/1.60 ! [B_1_1] :
% 1.52/1.60 ( is_fun20916972t_bool(B_1_1)
% 1.52/1.60 => is_fun20916972t_bool(collec1376511890le_alt(B_1_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_fFalse,axiom,
% 1.52/1.60 is_bool(fFalse) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_fTrue,axiom,
% 1.52/1.60 is_bool(fTrue) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1] :
% 1.52/1.60 ( is_Arr723427730le_alt(B_2_1)
% 1.52/1.60 => is_bool(hAPP_A1120018583t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1] :
% 1.52/1.60 ( is_Arr723427730le_alt(B_2_1)
% 1.52/1.60 => is_fun1420103068l_bool(hAPP_A433435097l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_001,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1] :
% 1.52/1.60 ( is_Arr723427730le_alt(B_2_1)
% 1.52/1.60 => is_fun20916972t_bool(hAPP_A1014090479t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.60
% 1.52/1.60 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__HOL__O,axiom,
% 1.52/1.60 ! [B_1_1,B_2_1] :
% 1.52/1.60 ( ( is_fun2015243113i_bool(B_1_1)
% 1.52/1.61 & is_Arr859726945e_indi(B_2_1) )
% 1.52/1.61 => is_bool(hAPP_A416869060i_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_Arr859726945e_indi(B_2_1)
% 1.52/1.61 => is_fun701126715l_bool(hAPP_A701636433l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_002,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_Arr859726945e_indi(B_2_1)
% 1.52/1.61 => is_fun292781289l_bool(hAPP_A955165183l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_003,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_Arr859726945e_indi(B_2_1)
% 1.52/1.61 => is_fun1420103068l_bool(hAPP_A659996934l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_004,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_Arr859726945e_indi(B_2_1)
% 1.52/1.61 => is_fun20916972t_bool(hAPP_A340536322t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_bool(B_2_1)
% 1.52/1.61 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_bool(B_2_1)
% 1.52/1.61 => is_fun2015243113i_bool(hAPP_b2116075462i_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Ob,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_bool(B_2_1)
% 1.52/1.61 => is_fun1568535512t_bool(hAPP_b1096750261t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_bool(B_2_1)
% 1.52/1.61 => is_fun701126715l_bool(hAPP_b1461182872l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_bool(B_2_1)
% 1.52/1.61 => is_fun292781289l_bool(hAPP_b651754310l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_bool(B_2_1)
% 1.52/1.61 => is_fun1420103068l_bool(hAPP_b805997823l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_bool(B_2_1)
% 1.52/1.61 => is_fun20916972t_bool(hAPP_b763490121t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oi,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun1084921220e_indi(B_1_1)
% 1.52/1.61 => is_Arr859726945e_indi(hAPP_n619554777e_indi(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsu,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun2015243113i_bool(hAPP_n1600508401i_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obo,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun1568535512t_bool(hAPP_n454528608t_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__HOL__Obool,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun1568535512t_bool(B_1_1)
% 1.52/1.61 => is_bool(hAPP_P1676879539t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__Arrow____Order,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun701126715l_bool(hAPP_P667392034l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun292781289l_bool(hAPP_P1305865168l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__prod_Itc__Arro,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun1420103068l_bool(hAPP_P288224245l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__prod_Itc__Arrow____Orde,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun20916972t_bool(hAPP_P401722323t_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f212509069l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc_,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun2015243113i_bool(B_2_1)
% 1.52/1.61 => is_bool(hAPP_f160177134l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__005,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun2015243113i_bool(B_2_1)
% 1.52/1.61 => is_fun2015243113i_bool(hAPP_f1282033109i_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__006,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_Arr859726945e_indi(hAPP_f350403485e_indi(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__007,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun701126715l_bool(B_1_1)
% 1.52/1.61 => is_bool(hAPP_f1378099862l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__008,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun2015243113i_bool(hAPP_f1570138413i_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__009,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun1568535512t_bool(hAPP_f1009478556t_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__010,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun1420103068l_bool(hAPP_f1895971544l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__011,hypothesis,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun20916972t_bool(hAPP_f1817389232t_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f387058535l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__HOL__,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun1568535512t_bool(B_2_1)
% 1.52/1.61 => is_bool(hAPP_f2028818269l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__fun_I,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun1568535512t_bool(B_2_1)
% 1.52/1.61 => is_fun1568535512t_bool(hAPP_f427533077t_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f599997089l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_012,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1898839893l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_013,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f2016919811l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_014,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun701126715l_bool(B_2_1)
% 1.52/1.61 => is_bool(hAPP_f147218624l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_015,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun701126715l_bool(B_2_1)
% 1.52/1.61 => is_fun701126715l_bool(hAPP_f189058133l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_016,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_Arr859726945e_indi(hAPP_f2043811403e_indi(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_017,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] :
% 1.52/1.61 ( is_fun292781289l_bool(B_1_1)
% 1.52/1.61 => is_bool(hAPP_f446648900l_bool(B_1_1,B_2_1)) ) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_018,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun2015243113i_bool(hAPP_f783549695i_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_019,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_fun1568535512t_bool(hAPP_f1841347694t_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_020,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1291635206l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__Nat__Onat_J_Mtc__HOL__Obool_,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f67777128l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f620747982l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f740740988l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f937100551l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f2053170815l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Arrow____Order____Mirabelle__,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1428735377l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1637334154l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Nat__Onat_J_Mtc__HOL__Obool_J,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1426445843l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Product____Type__Ounit_J_Mtc_,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f537623936l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__Nat__Onat_J_Mtc_,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f339859954l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__Arrow__,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f866114756l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__fun_Itc,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1597773170l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__prod_It,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1965705105l_bool(B_1_1,B_2_1)) ).
% 1.52/1.61
% 1.52/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__prod_Itc__Arrow_,axiom,
% 1.52/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1117143157l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f882250837l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_021,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1138659662l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_022,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1082951236l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_023,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] :
% 1.58/1.61 ( is_fun292781289l_bool(B_2_1)
% 1.58/1.61 => is_bool(hAPP_f322109294l_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_024,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] :
% 1.58/1.61 ( is_fun292781289l_bool(B_2_1)
% 1.58/1.61 => is_fun292781289l_bool(hAPP_f1028172757l_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f742658307l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_025,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f750478076l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_026,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f966397426l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1021828400l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_027,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f560261801l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_028,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1384787615l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_029,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f1363425282l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f817344902l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_030,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] :
% 1.58/1.61 ( is_fun1420103068l_bool(B_2_1)
% 1.58/1.61 => is_bool(hAPP_f560517119l_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_031,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] :
% 1.58/1.61 ( is_fun1420103068l_bool(B_2_1)
% 1.58/1.61 => is_fun1420103068l_bool(hAPP_f574392641l_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_032,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] : is_bool(hAPP_f557371893l_bool(B_1_1,B_2_1)) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] :
% 1.58/1.61 ( is_fun20916972t_bool(B_2_1)
% 1.58/1.61 => is_Arr859726945e_indi(hAPP_f1283454584e_indi(B_1_1,B_2_1)) ) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___033,hypothesis,
% 1.58/1.61 ! [B_1_1,B_2_1] :
% 1.58/1.61 ( ( is_fun1420103068l_bool(B_1_1)
% 1.58/1.61 & is_fun20916972t_bool(B_2_1) )
% 1.58/1.61 => is_bool(hAPP_f1733357041l_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.61
% 1.58/1.61 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___034,axiom,
% 1.58/1.61 ! [B_1_1,B_2_1] :
% 1.58/1.61 ( is_fun20916972t_bool(B_2_1)
% 1.58/1.61 => is_fun2015243113i_bool(hAPP_f431432850i_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.61
% 1.58/1.62 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___035,axiom,
% 1.58/1.62 ! [B_1_1,B_2_1] :
% 1.58/1.62 ( is_fun20916972t_bool(B_2_1)
% 1.58/1.62 => is_fun1568535512t_bool(hAPP_f649586561t_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___036,axiom,
% 1.58/1.62 ! [B_1_1,B_2_1] :
% 1.58/1.62 ( is_fun20916972t_bool(B_2_1)
% 1.58/1.62 => is_fun701126715l_bool(hAPP_f1332130404l_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___037,axiom,
% 1.58/1.62 ! [B_1_1,B_2_1] :
% 1.58/1.62 ( is_fun20916972t_bool(B_2_1)
% 1.58/1.62 => is_fun1420103068l_bool(hAPP_f1344932147l_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___038,axiom,
% 1.58/1.62 ! [B_1_1,B_2_1] :
% 1.58/1.62 ( is_fun20916972t_bool(B_2_1)
% 1.58/1.62 => is_fun20916972t_bool(hAPP_f137597973t_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc_,axiom,
% 1.58/1.62 ! [B_1_1,B_2_1] : is_Arr859726945e_indi(hAPP_P1645359566e_indi(B_1_1,B_2_1)) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__039,axiom,
% 1.58/1.62 ! [B_1_1,B_2_1] :
% 1.58/1.62 ( is_fun20916972t_bool(B_1_1)
% 1.58/1.62 => is_bool(hAPP_P1813625415t_bool(B_1_1,B_2_1)) ) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__040,axiom,
% 1.58/1.62 ! [B_1_1,B_2_1] : is_fun2015243113i_bool(hAPP_P957402556i_bool(B_1_1,B_2_1)) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__041,axiom,
% 1.58/1.62 ! [B_1_1,B_2_1] : is_fun1568535512t_bool(hAPP_P822772139t_bool(B_1_1,B_2_1)) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__042,hypothesis,
% 1.58/1.62 ! [B_1_1,B_2_1] : is_fun1420103068l_bool(hAPP_P1151433609l_bool(B_1_1,B_2_1)) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_v_Lab____,axiom,
% 1.58/1.62 is_fun20916972t_bool(lab) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_v_Lba____,axiom,
% 1.58/1.62 is_fun20916972t_bool(lba) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_v_a____,axiom,
% 1.58/1.62 is_Arr723427730le_alt(a) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_v_b____,axiom,
% 1.58/1.62 is_Arr723427730le_alt(b) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_v_c____,hypothesis,
% 1.58/1.62 is_Arr723427730le_alt(c) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_v_d____,hypothesis,
% 1.58/1.62 is_Arr723427730le_alt(d) ).
% 1.58/1.62
% 1.58/1.62 fof(gsy_v_e____,axiom,
% 1.58/1.62 is_Arr723427730le_alt(e) ).
% 1.58/1.62
% 1.58/1.62 %----Relevant facts (700)
% 1.58/1.62 fof(fact_0_assms_I3_J,axiom,
% 1.58/1.62 hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_1_u,axiom,
% 1.58/1.62 hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_2__096c_A_126_061_Ad_096,axiom,
% 1.58/1.62 c != d ).
% 1.58/1.62
% 1.58/1.62 fof(fact_3__096P_A_058_AProf_096,axiom,
% 1.58/1.62 hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_4_in__mkbot,axiom,
% 1.58/1.62 ! [X_2,Y_2,L_3,Z_1] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(X_2)
% 1.58/1.62 & is_Arr723427730le_alt(Y_2)
% 1.58/1.62 & is_Arr723427730le_alt(Z_1) )
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,L_3),Z_1)))
% 1.58/1.62 <=> ( Y_2 != Z_1
% 1.58/1.62 & ( X_2 = Z_1
% 1.58/1.62 => X_2 != Y_2 )
% 1.58/1.62 & ( X_2 != Z_1
% 1.58/1.62 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),L_3)) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_5_in__mktop,axiom,
% 1.58/1.62 ! [X_2,Y_2,L_3,Z_1] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(X_2)
% 1.58/1.62 & is_Arr723427730le_alt(Y_2)
% 1.58/1.62 & is_Arr723427730le_alt(Z_1) )
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,L_3),Z_1)))
% 1.58/1.62 <=> ( X_2 != Z_1
% 1.58/1.62 & ( Y_2 = Z_1
% 1.58/1.62 => X_2 != Y_2 )
% 1.58/1.62 & ( Y_2 != Z_1
% 1.58/1.62 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),L_3)) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_6__C2_C,axiom,
% 1.58/1.62 ! [P_1,Pa,A_34,B_32,Aa,Ba] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(A_34)
% 1.58/1.62 & is_Arr723427730le_alt(B_32)
% 1.58/1.62 & is_Arr723427730le_alt(Aa)
% 1.58/1.62 & is_Arr723427730le_alt(Ba) )
% 1.58/1.62 => ( Aa != Ba
% 1.58/1.62 => ( A_34 != B_32
% 1.58/1.62 => ( Aa != B_32
% 1.58/1.62 => ( Ba != A_34
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Pa),arrow_583275979e_Prof))
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,P_1),arrow_583275979e_Prof))
% 1.58/1.62 => ( ! [I_2] :
% 1.58/1.62 ( is_Arr859726945e_indi(I_2)
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_A340536322t_bool(Pa,I_2)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_34),B_32)),hAPP_A340536322t_bool(P_1,I_2))) ) )
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_f1817389232t_bool(f,Pa)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_34),B_32)),hAPP_f1817389232t_bool(f,P_1))) ) ) ) ) ) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_7__C1_C,axiom,
% 1.58/1.62 ! [P_1,Pa,A_34,B_32,Aa,Ba] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(A_34)
% 1.58/1.62 & is_Arr723427730le_alt(B_32)
% 1.58/1.62 & is_Arr723427730le_alt(Aa)
% 1.58/1.62 & is_Arr723427730le_alt(Ba) )
% 1.58/1.62 => ( Aa != Ba
% 1.58/1.62 => ( A_34 != B_32
% 1.58/1.62 => ( Aa != B_32
% 1.58/1.62 => ( Ba != A_34
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Pa),arrow_583275979e_Prof))
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,P_1),arrow_583275979e_Prof))
% 1.58/1.62 => ( ! [I_2] :
% 1.58/1.62 ( is_Arr859726945e_indi(I_2)
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_A340536322t_bool(Pa,I_2)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_34),B_32)),hAPP_A340536322t_bool(P_1,I_2))) ) )
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_f1817389232t_bool(f,Pa)))
% 1.58/1.62 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_34),B_32)),hAPP_f1817389232t_bool(f,P_1))) ) ) ) ) ) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_8__C4_C,axiom,
% 1.58/1.62 ! [P_1,Pa,Ca,Aa,Ba] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(Ca)
% 1.58/1.62 & is_Arr723427730le_alt(Aa)
% 1.58/1.62 & is_Arr723427730le_alt(Ba) )
% 1.58/1.62 => ( Aa != Ba
% 1.58/1.62 => ( Ba != Ca
% 1.58/1.62 => ( Aa != Ca
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Pa),arrow_583275979e_Prof))
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,P_1),arrow_583275979e_Prof))
% 1.58/1.62 => ( ! [I_2] :
% 1.58/1.62 ( is_Arr859726945e_indi(I_2)
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_A340536322t_bool(Pa,I_2)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Ba),Ca)),hAPP_A340536322t_bool(P_1,I_2))) ) )
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_f1817389232t_bool(f,Pa)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Ba),Ca)),hAPP_f1817389232t_bool(f,P_1))) ) ) ) ) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_9_pairwise__neutrality,axiom,
% 1.58/1.62 ! [P_1,Pa,A_34,B_32,Aa,Ba] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(A_34)
% 1.58/1.62 & is_Arr723427730le_alt(B_32)
% 1.58/1.62 & is_Arr723427730le_alt(Aa)
% 1.58/1.62 & is_Arr723427730le_alt(Ba) )
% 1.58/1.62 => ( Aa != Ba
% 1.58/1.62 => ( A_34 != B_32
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Pa),arrow_583275979e_Prof))
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,P_1),arrow_583275979e_Prof))
% 1.58/1.62 => ( ! [I_2] :
% 1.58/1.62 ( is_Arr859726945e_indi(I_2)
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_A340536322t_bool(Pa,I_2)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_34),B_32)),hAPP_A340536322t_bool(P_1,I_2))) ) )
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_f1817389232t_bool(f,Pa)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_34),B_32)),hAPP_f1817389232t_bool(f,P_1))) ) ) ) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_10__C3_C,axiom,
% 1.58/1.62 ! [P_1,Pa,Aa,Ba] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(Aa)
% 1.58/1.62 & is_Arr723427730le_alt(Ba) )
% 1.58/1.62 => ( Aa != Ba
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Pa),arrow_583275979e_Prof))
% 1.58/1.62 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,P_1),arrow_583275979e_Prof))
% 1.58/1.62 => ( ! [I_2] :
% 1.58/1.62 ( is_Arr859726945e_indi(I_2)
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_A340536322t_bool(Pa,I_2)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Ba),Aa)),hAPP_A340536322t_bool(P_1,I_2))) ) )
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),hAPP_f1817389232t_bool(f,Pa)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Ba),Aa)),hAPP_f1817389232t_bool(f,P_1))) ) ) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J,axiom,
% 1.58/1.62 ! [I_2] :
% 1.58/1.62 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,I_2)))
% 1.58/1.62 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),n))
% 1.58/1.62 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,I_2)),e))) )
% 1.58/1.62 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),n))
% 1.58/1.62 => ( ( hAPP_A1895296483di_nat(h,I_2) = n
% 1.58/1.62 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,I_2)),c),e))) )
% 1.58/1.62 & ( hAPP_A1895296483di_nat(h,I_2) != n
% 1.58/1.62 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,I_2)),e))) ) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0,axiom,
% 1.58/1.62 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
% 1.58/1.62 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_14_PW,axiom,
% 1.58/1.62 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_15_split__paired__All,axiom,
% 1.58/1.62 ! [Pa] :
% 1.58/1.62 ( ! [X1] : hBOOL(hAPP_P1813625415t_bool(Pa,X1))
% 1.58/1.62 <=> ! [A_1,B_25] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(A_1)
% 1.58/1.62 & is_Arr723427730le_alt(B_25) )
% 1.58/1.62 => hBOOL(hAPP_P1813625415t_bool(Pa,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25))) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai,axiom,
% 1.58/1.62 hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
% 1.58/1.62 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
% 1.58/1.62 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_19_n_I1_J,axiom,
% 1.58/1.62 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_20_injh,axiom,
% 1.58/1.62 hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_21_Pair__inject,axiom,
% 1.58/1.62 ! [A_36,B_34,A_35,B_33] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(A_36)
% 1.58/1.62 & is_Arr723427730le_alt(B_34)
% 1.58/1.62 & is_Arr723427730le_alt(A_35)
% 1.58/1.62 & is_Arr723427730le_alt(B_33) )
% 1.58/1.62 => ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_36),B_34) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_35),B_33)
% 1.58/1.62 => ~ ( A_36 = A_35
% 1.58/1.62 => B_34 != B_33 ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_22_Pair__eq,axiom,
% 1.58/1.62 ! [Aa,Ba,A_34,B_32] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(Aa)
% 1.58/1.62 & is_Arr723427730le_alt(Ba)
% 1.58/1.62 & is_Arr723427730le_alt(A_34)
% 1.58/1.62 & is_Arr723427730le_alt(B_32) )
% 1.58/1.62 => ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_34),B_32)
% 1.58/1.62 <=> ( Aa = A_34
% 1.58/1.62 & Ba = B_32 ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_23_IIA__def,axiom,
% 1.58/1.62 ! [Fa] :
% 1.58/1.62 ( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,Fa))
% 1.58/1.62 <=> ! [X_1] :
% 1.58/1.62 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),arrow_583275979e_Prof))
% 1.58/1.62 => ! [Xa] :
% 1.58/1.62 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Xa),arrow_583275979e_Prof))
% 1.58/1.62 => ! [A_1,B_25] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(A_1)
% 1.58/1.62 & is_Arr723427730le_alt(B_25) )
% 1.58/1.62 => ( ! [I_2] :
% 1.58/1.62 ( is_Arr859726945e_indi(I_2)
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25)),hAPP_A340536322t_bool(X_1,I_2)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25)),hAPP_A340536322t_bool(Xa,I_2))) ) )
% 1.58/1.62 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25)),hAPP_f1817389232t_bool(Fa,X_1)))
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25)),hAPP_f1817389232t_bool(Fa,Xa))) ) ) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_24_unanimity__def,axiom,
% 1.58/1.62 ! [Fa] :
% 1.58/1.62 ( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,Fa))
% 1.58/1.62 <=> ! [X_1] :
% 1.58/1.62 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),arrow_583275979e_Prof))
% 1.58/1.62 => ! [A_1,B_25] :
% 1.58/1.62 ( ( is_Arr723427730le_alt(A_1)
% 1.58/1.62 & is_Arr723427730le_alt(B_25) )
% 1.58/1.62 => ( ! [I_2] :
% 1.58/1.62 ( is_Arr859726945e_indi(I_2)
% 1.58/1.62 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25)),hAPP_A340536322t_bool(X_1,I_2))) )
% 1.58/1.62 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25)),hAPP_f1817389232t_bool(Fa,X_1))) ) ) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_25_top1I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X_2)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_26_top1I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X_2)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_27_top1I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X_2)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_28_top1I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X_2)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_29_top1I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X_2)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_30_top1I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X_2)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_31_top1I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X_2)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_32_UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),top_to1647826457l_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_33_UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),top_to207207712i_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_34_UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),top_to1257323279t_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_35_UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),top_to1773227171t_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_36_UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),top_to935749874l_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_37_UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),top_to1849101472l_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_38_UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),top_to846262053l_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_39_UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),top_top_fun_nat_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_40_iso__tuple__UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),top_to1647826457l_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_41_iso__tuple__UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),top_to207207712i_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_42_iso__tuple__UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),top_to1257323279t_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_43_iso__tuple__UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),top_to1773227171t_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_44_iso__tuple__UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),top_to935749874l_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_45_iso__tuple__UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),top_to1849101472l_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_46_iso__tuple__UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),top_to846262053l_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_47_iso__tuple__UNIV__I,axiom,
% 1.58/1.62 ! [X_2] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),top_top_fun_nat_bool)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_48_top__apply,axiom,
% 1.58/1.62 ! [X_2] :
% 1.58/1.62 ( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X_2))
% 1.58/1.62 <=> hBOOL(top_top_bool) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_49_top__apply,axiom,
% 1.58/1.62 ! [X_2] :
% 1.58/1.62 ( hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X_2))
% 1.58/1.62 <=> hBOOL(top_top_bool) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_50_top__apply,axiom,
% 1.58/1.62 ! [X_2] :
% 1.58/1.62 ( hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X_2))
% 1.58/1.62 <=> hBOOL(top_top_bool) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_51_top__apply,axiom,
% 1.58/1.62 ! [X_2] :
% 1.58/1.62 ( hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X_2))
% 1.58/1.62 <=> hBOOL(top_top_bool) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_52_top__apply,axiom,
% 1.58/1.62 ! [X_2] :
% 1.58/1.62 ( hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X_2))
% 1.58/1.62 <=> hBOOL(top_top_bool) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_53_top__apply,axiom,
% 1.58/1.62 ! [X_2] :
% 1.58/1.62 ( hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X_2))
% 1.58/1.62 <=> hBOOL(top_top_bool) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_54_top__apply,axiom,
% 1.58/1.62 ! [X_2] :
% 1.58/1.62 ( hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X_2))
% 1.58/1.62 <=> hBOOL(top_top_bool) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_55_not__top__less,axiom,
% 1.58/1.62 ! [Aa] : ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),Aa)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_56_not__top__less,axiom,
% 1.58/1.62 ! [Aa] : ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),Aa)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_57_not__top__less,axiom,
% 1.58/1.62 ! [Aa] : ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),Aa)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_58_not__top__less,axiom,
% 1.58/1.62 ! [Aa] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),Aa)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_59_not__top__less,axiom,
% 1.58/1.62 ! [Aa] : ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),Aa)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_60_not__top__less,axiom,
% 1.58/1.62 ! [Aa] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),Aa)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_61_not__top__less,axiom,
% 1.58/1.62 ! [Aa] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),Aa)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_62_not__top__less,axiom,
% 1.58/1.62 ! [Aa] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),Aa)) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_63_less__top,axiom,
% 1.58/1.62 ! [Aa] :
% 1.58/1.62 ( is_fun1420103068l_bool(Aa)
% 1.58/1.62 => ( Aa != top_to846262053l_bool
% 1.58/1.62 <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,Aa),top_to846262053l_bool)) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_64_less__top,axiom,
% 1.58/1.62 ! [Aa] :
% 1.58/1.62 ( is_fun701126715l_bool(Aa)
% 1.58/1.62 => ( Aa != top_to935749874l_bool
% 1.58/1.62 <=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,Aa),top_to935749874l_bool)) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_65_less__top,axiom,
% 1.58/1.62 ! [Aa] :
% 1.58/1.62 ( is_fun292781289l_bool(Aa)
% 1.58/1.62 => ( Aa != top_to1849101472l_bool
% 1.58/1.62 <=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,Aa),top_to1849101472l_bool)) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_66_less__top,axiom,
% 1.58/1.62 ! [Aa] :
% 1.58/1.62 ( ~ ( hBOOL(Aa)
% 1.58/1.62 <=> hBOOL(top_top_bool) )
% 1.58/1.62 <=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Aa),top_top_bool)) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_67_less__top,axiom,
% 1.58/1.62 ! [Aa] :
% 1.58/1.62 ( is_fun20916972t_bool(Aa)
% 1.58/1.62 => ( Aa != top_to1773227171t_bool
% 1.58/1.62 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,Aa),top_to1773227171t_bool)) ) ) ).
% 1.58/1.62
% 1.58/1.62 fof(fact_68_less__top,axiom,
% 1.58/1.62 ! [Aa] :
% 1.58/1.62 ( is_fun2015243113i_bool(Aa)
% 1.58/1.62 => ( Aa != top_to207207712i_bool
% 1.58/1.63 <=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Aa),top_to207207712i_bool)) ) ) ).
% 1.58/1.63
% 1.58/1.63 fof(fact_69_less__top,axiom,
% 1.58/1.63 ! [Aa] :
% 1.58/1.63 ( is_fun1568535512t_bool(Aa)
% 1.58/1.63 => ( Aa != top_to1257323279t_bool
% 1.58/1.63 <=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Aa),top_to1257323279t_bool)) ) ) ).
% 1.58/1.63
% 1.58/1.63 fof(fact_70_less__top,axiom,
% 1.58/1.63 ! [Aa] :
% 1.58/1.63 ( Aa != top_top_fun_nat_bool
% 1.58/1.63 <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),top_top_fun_nat_bool)) ) ).
% 1.58/1.63
% 1.58/1.63 fof(fact_71_assms_I1_J,axiom,
% 1.62/1.63 hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_72__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amk,axiom,
% 1.62/1.63 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
% 1.62/1.63 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_73__096Lab_A_058_ALin_096,axiom,
% 1.62/1.63 hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_74__096Lba_A_058_ALin_096,axiom,
% 1.62/1.63 hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_75__096a_A_126_061_Ab_096,axiom,
% 1.62/1.63 a != b ).
% 1.62/1.63
% 1.62/1.63 fof(fact_76__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096,axiom,
% 1.62/1.63 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_77__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096,axiom,
% 1.62/1.63 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_78__096_Ia_M_Ab_J_A_126_058_ALba_096,axiom,
% 1.62/1.63 ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_79__096_Ib_M_Aa_J_A_126_058_ALab_096,axiom,
% 1.62/1.63 ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_80_PiProf,axiom,
% 1.62/1.63 ! [Na] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),Na))),lab)),lba)),arrow_583275979e_Prof)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_81__096_B_Bthesis_O_A_I_B_BLab_O_A_091_124_Aa_A_060_092_060_094bsub_062Lab_,axiom,
% 1.62/1.63 ~ ! [Lab] :
% 1.62/1.63 ( is_fun20916972t_bool(Lab)
% 1.62/1.63 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),Lab))
% 1.62/1.63 => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,Lab),arrow_912654623le_Lin)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_82__096_B_Bthesis_O_A_I_B_BLba_O_A_091_124_Ab_A_060_092_060_094bsub_062Lba_,axiom,
% 1.62/1.63 ~ ! [Lba] :
% 1.62/1.63 ( is_fun20916972t_bool(Lba)
% 1.62/1.63 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),Lba))
% 1.62/1.63 => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,Lba),arrow_912654623le_Lin)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_83__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Amk,axiom,
% 1.62/1.63 ! [I_2] :
% 1.62/1.63 ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),n))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,I_2)),e))) )
% 1.62/1.63 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),n))
% 1.62/1.63 => ( ( hAPP_A1895296483di_nat(h,I_2) = n
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,I_2)),c),e))) )
% 1.62/1.63 & ( hAPP_A1895296483di_nat(h,I_2) != n
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,I_2)),e))) ) ) ) )
% 1.62/1.63 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),n))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
% 1.62/1.63 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),n))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_84_n_I2_J,axiom,
% 1.62/1.63 ! [M] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),n))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),M))),lab)),lba)))) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_85_notin__Lin__iff,axiom,
% 1.62/1.63 ! [X_2,Y_2,L_3] :
% 1.62/1.63 ( ( is_Arr723427730le_alt(X_2)
% 1.62/1.63 & is_Arr723427730le_alt(Y_2) )
% 1.62/1.63 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.63 => ( X_2 != Y_2
% 1.62/1.63 => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),L_3))
% 1.62/1.63 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Y_2),X_2)),L_3)) ) ) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_86_Lin__irrefl,axiom,
% 1.62/1.63 ! [Aa,Ba,L_3] :
% 1.62/1.63 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.63 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),L_3))
% 1.62/1.63 => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Ba),Aa)),L_3)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_87_mktop__Lin,axiom,
% 1.62/1.63 ! [X_2,L_3] :
% 1.62/1.63 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.63 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,L_3),X_2)),arrow_912654623le_Lin)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_88_mkbot__Lin,axiom,
% 1.62/1.63 ! [X_2,L_3] :
% 1.62/1.63 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.63 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,L_3),X_2)),arrow_912654623le_Lin)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_89_above__Lin,axiom,
% 1.62/1.63 ! [L_3,X_2,Y_2] :
% 1.62/1.63 ( ( is_Arr723427730le_alt(X_2)
% 1.62/1.63 & is_Arr723427730le_alt(Y_2) )
% 1.62/1.63 => ( X_2 != Y_2
% 1.62/1.63 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.63 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,L_3),X_2),Y_2)),arrow_912654623le_Lin)) ) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_90_const__Lin__Prof,axiom,
% 1.62/1.63 ! [L_3] :
% 1.62/1.63 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.63 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,L_3)),arrow_583275979e_Prof)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_91_linorder__cases,axiom,
% 1.62/1.63 ! [X_32,Y_30] :
% 1.62/1.63 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_32),Y_30))
% 1.62/1.63 => ( X_32 != Y_30
% 1.62/1.63 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_30),X_32)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_92_order__less__asym,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_93_order__less__asym,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_94_order__less__asym,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_95_order__less__asym,axiom,
% 1.62/1.63 ! [X_31,Y_29] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_31),Y_29))
% 1.62/1.63 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_29),X_31)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_96_xt1_I10_J,axiom,
% 1.62/1.63 ! [Z_1,Y_2,X_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_2))
% 1.62/1.63 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_1),Y_2))
% 1.62/1.63 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_1),X_2)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_97_xt1_I10_J,axiom,
% 1.62/1.63 ! [Z_1,Y_2,X_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Y_2),X_2))
% 1.62/1.63 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Z_1),Y_2))
% 1.62/1.63 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Z_1),X_2)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_98_xt1_I10_J,axiom,
% 1.62/1.63 ! [Z_1,Y_2,X_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Y_2),X_2))
% 1.62/1.63 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Z_1),Y_2))
% 1.62/1.63 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Z_1),X_2)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_99_xt1_I10_J,axiom,
% 1.62/1.63 ! [Z_9,Y_28,X_30] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_28),X_30))
% 1.62/1.63 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_9),Y_28))
% 1.62/1.63 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_9),X_30)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_100_order__less__trans,axiom,
% 1.62/1.63 ! [Z_1,X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.63 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),Z_1))
% 1.62/1.63 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Z_1)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_101_order__less__trans,axiom,
% 1.62/1.63 ! [Z_1,X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.63 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Y_2),Z_1))
% 1.62/1.63 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Z_1)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_102_order__less__trans,axiom,
% 1.62/1.63 ! [Z_1,X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.63 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Y_2),Z_1))
% 1.62/1.63 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Z_1)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_103_order__less__trans,axiom,
% 1.62/1.63 ! [Z_8,X_29,Y_27] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_29),Y_27))
% 1.62/1.63 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_27),Z_8))
% 1.62/1.63 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_29),Z_8)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_104_xt1_I2_J,axiom,
% 1.62/1.63 ! [Ca,Ba,Aa] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa))
% 1.62/1.63 => ( Ba = Ca
% 1.62/1.63 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ca),Aa)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_105_xt1_I2_J,axiom,
% 1.62/1.63 ! [Ca,Ba,Aa] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ba),Aa))
% 1.62/1.63 => ( Ba = Ca
% 1.62/1.63 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ca),Aa)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_106_xt1_I2_J,axiom,
% 1.62/1.63 ! [Ca,Ba,Aa] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ba),Aa))
% 1.62/1.63 => ( Ba = Ca
% 1.62/1.63 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ca),Aa)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_107_xt1_I2_J,axiom,
% 1.62/1.63 ! [C_24,B_31,A_33] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_31),A_33))
% 1.62/1.63 => ( B_31 = C_24
% 1.62/1.63 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_24),A_33)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_108_ord__less__eq__trans,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba))
% 1.62/1.63 => ( Ba = Ca
% 1.62/1.63 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ca)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_109_ord__less__eq__trans,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Aa),Ba))
% 1.62/1.63 => ( Ba = Ca
% 1.62/1.63 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Aa),Ca)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_110_ord__less__eq__trans,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Aa),Ba))
% 1.62/1.63 => ( Ba = Ca
% 1.62/1.63 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Aa),Ca)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_111_ord__less__eq__trans,axiom,
% 1.62/1.63 ! [C_23,A_32,B_30] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_32),B_30))
% 1.62/1.63 => ( B_30 = C_23
% 1.62/1.63 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_32),C_23)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_112_xt1_I1_J,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( Aa = Ba
% 1.62/1.63 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ca),Ba))
% 1.62/1.63 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ca),Aa)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_113_xt1_I1_J,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( Aa = Ba
% 1.62/1.63 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ca),Ba))
% 1.62/1.63 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ca),Aa)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_114_xt1_I1_J,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( Aa = Ba
% 1.62/1.63 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ca),Ba))
% 1.62/1.63 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ca),Aa)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_115_xt1_I1_J,axiom,
% 1.62/1.63 ! [C_22,A_31,B_29] :
% 1.62/1.63 ( A_31 = B_29
% 1.62/1.63 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_22),B_29))
% 1.62/1.63 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_22),A_31)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_116_ord__eq__less__trans,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( Aa = Ba
% 1.62/1.63 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Ca))
% 1.62/1.63 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ca)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_117_ord__eq__less__trans,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( Aa = Ba
% 1.62/1.63 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ba),Ca))
% 1.62/1.63 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Aa),Ca)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_118_ord__eq__less__trans,axiom,
% 1.62/1.63 ! [Ca,Aa,Ba] :
% 1.62/1.63 ( Aa = Ba
% 1.62/1.63 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ba),Ca))
% 1.62/1.63 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Aa),Ca)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_119_ord__eq__less__trans,axiom,
% 1.62/1.63 ! [C_21,A_30,B_28] :
% 1.62/1.63 ( A_30 = B_28
% 1.62/1.63 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_28),C_21))
% 1.62/1.63 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_30),C_21)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_120_xt1_I9_J,axiom,
% 1.62/1.63 ! [Ba,Aa] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa))
% 1.62/1.63 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_121_xt1_I9_J,axiom,
% 1.62/1.63 ! [Ba,Aa] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ba),Aa))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Aa),Ba)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_122_xt1_I9_J,axiom,
% 1.62/1.63 ! [Ba,Aa] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ba),Aa))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Aa),Ba)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_123_xt1_I9_J,axiom,
% 1.62/1.63 ! [B_27,A_29] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_27),A_29))
% 1.62/1.63 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_29),B_27)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_124_order__less__asym_H,axiom,
% 1.62/1.63 ! [Aa,Ba] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba))
% 1.62/1.63 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_125_order__less__asym_H,axiom,
% 1.62/1.63 ! [Aa,Ba] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Aa),Ba))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ba),Aa)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_126_order__less__asym_H,axiom,
% 1.62/1.63 ! [Aa,Ba] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Aa),Ba))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ba),Aa)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_127_order__less__asym_H,axiom,
% 1.62/1.63 ! [A_28,B_26] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_28),B_26))
% 1.62/1.63 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_26),A_28)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_128_order__less__imp__triv,axiom,
% 1.62/1.63 ! [Pa,X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.63 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_2))
% 1.62/1.63 => hBOOL(Pa) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_129_order__less__imp__triv,axiom,
% 1.62/1.63 ! [Pa,X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.63 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Y_2),X_2))
% 1.62/1.63 => hBOOL(Pa) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_130_order__less__imp__triv,axiom,
% 1.62/1.63 ! [Pa,X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.63 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Y_2),X_2))
% 1.62/1.63 => hBOOL(Pa) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_131_order__less__imp__triv,axiom,
% 1.62/1.63 ! [Pa,X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.63 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_2))
% 1.62/1.63 => hBOOL(Pa) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_132_order__less__imp__not__eq2,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.63 => Y_2 != X_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_133_order__less__imp__not__eq2,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.63 => Y_2 != X_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_134_order__less__imp__not__eq2,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.63 => Y_2 != X_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_135_order__less__imp__not__eq2,axiom,
% 1.62/1.63 ! [X_28,Y_26] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_28),Y_26))
% 1.62/1.63 => Y_26 != X_28 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_136_order__less__imp__not__eq,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.63 => X_2 != Y_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_137_order__less__imp__not__eq,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.63 => X_2 != Y_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_138_order__less__imp__not__eq,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.63 => X_2 != Y_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_139_order__less__imp__not__eq,axiom,
% 1.62/1.63 ! [X_27,Y_25] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_27),Y_25))
% 1.62/1.63 => X_27 != Y_25 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_140_order__less__imp__not__less,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_141_order__less__imp__not__less,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_142_order__less__imp__not__less,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_143_order__less__imp__not__less,axiom,
% 1.62/1.63 ! [X_26,Y_24] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_26),Y_24))
% 1.62/1.63 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_24),X_26)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_144_order__less__not__sym,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_145_order__less__not__sym,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_146_order__less__not__sym,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Y_2),X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_147_order__less__not__sym,axiom,
% 1.62/1.63 ! [X_25,Y_23] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_25),Y_23))
% 1.62/1.63 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_23),X_25)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_148_less__imp__neq,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.63 => X_2 != Y_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_149_less__imp__neq,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.63 => X_2 != Y_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_150_less__imp__neq,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.63 => X_2 != Y_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_151_less__imp__neq,axiom,
% 1.62/1.63 ! [X_24,Y_22] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_24),Y_22))
% 1.62/1.63 => X_24 != Y_22 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_152_linorder__neqE,axiom,
% 1.62/1.63 ! [X_23,Y_21] :
% 1.62/1.63 ( X_23 != Y_21
% 1.62/1.63 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_23),Y_21))
% 1.62/1.63 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_21),X_23)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_153_linorder__antisym__conv3,axiom,
% 1.62/1.63 ! [Y_2,X_2] :
% 1.62/1.63 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_2))
% 1.62/1.63 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.63 <=> X_2 = Y_2 ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_154_linorder__less__linear,axiom,
% 1.62/1.63 ! [X_22,Y_20] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_22),Y_20))
% 1.62/1.63 | X_22 = Y_20
% 1.62/1.63 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_20),X_22)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_155_not__less__iff__gr__or__eq,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.63 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_2))
% 1.62/1.63 | X_2 = Y_2 ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_156_linorder__neq__iff,axiom,
% 1.62/1.63 ! [X_2,Y_2] :
% 1.62/1.63 ( X_2 != Y_2
% 1.62/1.63 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.63 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_2)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_157_order__less__irrefl,axiom,
% 1.62/1.63 ! [X_2] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),X_2)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_158_order__less__irrefl,axiom,
% 1.62/1.63 ! [X_2] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),X_2)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_159_order__less__irrefl,axiom,
% 1.62/1.63 ! [X_2] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),X_2)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_160_order__less__irrefl,axiom,
% 1.62/1.63 ! [X_21] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_21),X_21)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_161_UNIV__def,axiom,
% 1.62/1.63 top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_162_UNIV__def,axiom,
% 1.62/1.63 top_to935749874l_bool = collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_163_UNIV__def,axiom,
% 1.62/1.63 top_to1849101472l_bool = collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_164_UNIV__def,axiom,
% 1.62/1.63 top_to1773227171t_bool = collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_165_UNIV__def,axiom,
% 1.62/1.63 top_to207207712i_bool = collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_166_UNIV__def,axiom,
% 1.62/1.63 top_to1257323279t_bool = collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_167_UNIV__def,axiom,
% 1.62/1.63 top_top_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_168_mem__def,axiom,
% 1.62/1.63 ! [X_2,A] :
% 1.62/1.63 ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.63 <=> hBOOL(hAPP_A416869060i_bool(A,X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_169_mem__def,axiom,
% 1.62/1.63 ! [X_2,A] :
% 1.62/1.63 ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A))
% 1.62/1.63 <=> hBOOL(hAPP_bool_bool(A,X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_170_mem__def,axiom,
% 1.62/1.63 ! [X_2,A] :
% 1.62/1.63 ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A))
% 1.62/1.63 <=> hBOOL(hAPP_P1676879539t_bool(A,X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_171_mem__def,axiom,
% 1.62/1.63 ! [X_2,A] :
% 1.62/1.63 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A))
% 1.62/1.63 <=> hBOOL(hAPP_P1813625415t_bool(A,X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_172_mem__def,axiom,
% 1.62/1.63 ! [X_2,A] :
% 1.62/1.63 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A))
% 1.62/1.63 <=> hBOOL(hAPP_f1378099862l_bool(A,X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_173_mem__def,axiom,
% 1.62/1.63 ! [X_2,A] :
% 1.62/1.63 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A))
% 1.62/1.63 <=> hBOOL(hAPP_f446648900l_bool(A,X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_174_mem__def,axiom,
% 1.62/1.63 ! [X_2,A] :
% 1.62/1.63 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A))
% 1.62/1.63 <=> hBOOL(hAPP_f1733357041l_bool(A,X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_175_mem__def,axiom,
% 1.62/1.63 ! [X_2,A] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.63 <=> hBOOL(hAPP_nat_bool(A,X_2)) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_176_Collect__def,axiom,
% 1.62/1.63 ! [Pa] :
% 1.62/1.63 ( is_fun1568535512t_bool(Pa)
% 1.62/1.63 => collect_Product_unit(Pa) = Pa ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_177_Collect__def,axiom,
% 1.62/1.63 ! [Pa] :
% 1.62/1.63 ( is_fun2015243113i_bool(Pa)
% 1.62/1.63 => collec279390863e_indi(Pa) = Pa ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_178_Collect__def,axiom,
% 1.62/1.63 ! [Pa] : collect_nat(Pa) = Pa ).
% 1.62/1.63
% 1.62/1.63 fof(fact_179_in__above,axiom,
% 1.62/1.63 ! [X_2,Y_2,L_3,Aa,Ba] :
% 1.62/1.63 ( ( is_Arr723427730le_alt(X_2)
% 1.62/1.63 & is_Arr723427730le_alt(Y_2)
% 1.62/1.63 & is_Arr723427730le_alt(Aa)
% 1.62/1.63 & is_Arr723427730le_alt(Ba) )
% 1.62/1.63 => ( Aa != Ba
% 1.62/1.63 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.63 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,L_3),Aa),Ba)))
% 1.62/1.63 <=> ( X_2 != Y_2
% 1.62/1.63 & ( X_2 = Ba
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Y_2)),L_3)) )
% 1.62/1.63 & ( X_2 != Ba
% 1.62/1.63 => ( ( Y_2 = Ba
% 1.62/1.63 => ( X_2 = Aa
% 1.62/1.63 | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Aa)),L_3)) ) )
% 1.62/1.63 & ( Y_2 != Ba
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),L_3)) ) ) ) ) ) ) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_180_pred__equals__eq2,axiom,
% 1.62/1.63 ! [S_1,R_1] :
% 1.62/1.63 ( ( is_fun20916972t_bool(S_1)
% 1.62/1.63 & is_fun20916972t_bool(R_1) )
% 1.62/1.63 => ( ! [X_1,Xa] :
% 1.62/1.63 ( ( is_Arr723427730le_alt(X_1)
% 1.62/1.63 & is_Arr723427730le_alt(Xa) )
% 1.62/1.63 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Xa)),R_1))
% 1.62/1.63 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_1),Xa)),S_1)) ) )
% 1.62/1.63 <=> R_1 = S_1 ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_181_n_I3_J,axiom,
% 1.62/1.63 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_182__096_Ic_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am,axiom,
% 1.62/1.63 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
% 1.62/1.63 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_183__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am,axiom,
% 1.62/1.63 ! [I_2] :
% 1.62/1.63 ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),n))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,I_2)),e))) )
% 1.62/1.63 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),n))
% 1.62/1.63 => ( ( hAPP_A1895296483di_nat(h,I_2) = n
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,I_2)),c),e))) )
% 1.62/1.63 & ( hAPP_A1895296483di_nat(h,I_2) != n
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,I_2)),e))) ) ) ) )
% 1.62/1.63 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
% 1.62/1.63 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,I_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_184_inv__f__eq,axiom,
% 1.62/1.63 ! [X_2,Y_2,F] :
% 1.62/1.63 ( is_Arr859726945e_indi(X_2)
% 1.62/1.63 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),top_to207207712i_bool))
% 1.62/1.63 => ( hAPP_A1895296483di_nat(F,X_2) = Y_2
% 1.62/1.63 => hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,F),Y_2) = X_2 ) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_185_inv__f__eq,axiom,
% 1.62/1.63 ! [X_2,Y_2,F] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),top_top_fun_nat_bool))
% 1.62/1.63 => ( hAPP_nat_nat(F,X_2) = Y_2
% 1.62/1.63 => hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,F),Y_2) = X_2 ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_186_inv__f__f,axiom,
% 1.62/1.63 ! [X_2,F] :
% 1.62/1.63 ( is_Arr859726945e_indi(X_2)
% 1.62/1.63 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),top_to207207712i_bool))
% 1.62/1.63 => hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,F),hAPP_A1895296483di_nat(F,X_2)) = X_2 ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_187_inv__f__f,axiom,
% 1.62/1.63 ! [X_2,F] :
% 1.62/1.63 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),top_top_fun_nat_bool))
% 1.62/1.63 => hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,F),hAPP_nat_nat(F,X_2)) = X_2 ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_188_dictatorI,axiom,
% 1.62/1.63 ! [I_1,Fa] :
% 1.62/1.63 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,Fa),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
% 1.62/1.63 => ( ! [X_1] :
% 1.62/1.63 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),arrow_583275979e_Prof))
% 1.62/1.63 => ! [A_1,B_25] :
% 1.62/1.63 ( ( is_Arr723427730le_alt(A_1)
% 1.62/1.63 & is_Arr723427730le_alt(B_25) )
% 1.62/1.63 => ( A_1 != B_25
% 1.62/1.63 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25)),hAPP_A340536322t_bool(X_1,I_1)))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,A_1),B_25)),hAPP_f1817389232t_bool(Fa,X_1))) ) ) ) )
% 1.62/1.63 => hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,Fa),I_1)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_189_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_2)),hAPP_P1122857141l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_190_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,F),pi_Arr1064242500le_alt(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(F,X_2)),hAPP_A340536322t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_191_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,F),pi_boo1542163389le_alt(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(F,X_2)),hAPP_b763490121t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_192_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,F),pi_Pro1208494515le_alt(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(F,X_2)),hAPP_P401722323t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_193_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,F),pi_Arr656802323t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(F,X_2)),hAPP_A701636433l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_194_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,F),pi_boo679625100t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(F,X_2)),hAPP_b1461182872l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_195_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,F),pi_Pro1114473858t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(F,X_2)),hAPP_P667392034l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_196_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,F),pi_Arr742795713t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(F,X_2)),hAPP_A955165183l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_197_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,F),pi_boo68262458t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(F,X_2)),hAPP_b651754310l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_198_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,F),pi_Pro831923248t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(F,X_2)),hAPP_P1305865168l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_199_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,F),pi_boo1746012499t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(F,X_2)),hAPP_b805997823l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_200_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,F),pi_Pro1925515229t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(F,X_2)),hAPP_P288224245l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_201_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,F),pi_Arr604548589di_nat(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(F,X_2)),hAPP_A1948275303t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_202_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,F),pi_bool_nat(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(F,X_2)),hAPP_b1013836512t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_203_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,F),pi_Product_unit_nat(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(F,X_2)),hAPP_P32877782t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_204_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,F),pi_Pro58544964e_indi(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(F,X_2)),hAPP_P957402556i_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_205_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,F),pi_Pro269694131t_unit(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(F,X_2)),hAPP_P822772139t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_206_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,F),pi_fun268174099e_indi(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(F,X_2)),hAPP_f1570138413i_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_207_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,F),pi_fun1236347660l_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(F,X_2)),hAPP_f591334822l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_208_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,F),pi_fun623621634t_unit(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(F,X_2)),hAPP_f1009478556t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_209_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,F),pi_fun1353458625e_indi(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(F,X_2)),hAPP_f783549695i_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_210_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,F),pi_fun187048122l_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(F,X_2)),hAPP_f721327224l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_211_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,F),pi_fun1390764464t_unit(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(F,X_2)),hAPP_f1841347694t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_212_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,F),pi_fun596906370e_indi(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(F,X_2)),hAPP_f431432850i_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_213_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,F),pi_fun568395771l_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(F,X_2)),hAPP_f812095627l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_214_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,F),pi_fun1012573681t_unit(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(F,X_2)),hAPP_f649586561t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_215_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,F),pi_nat1476290531e_indi(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(F,X_2)),hAPP_n1600508401i_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_216_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,F),pi_nat_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(F,X_2)),hAPP_n1006566506l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_217_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,F),pi_nat_Product_unit(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(F,X_2)),hAPP_n454528608t_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_218_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_2)),hAPP_f1895971544l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_219_PiE,axiom,
% 1.62/1.63 ! [X_2,F,A,B] :
% 1.62/1.63 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,B)))
% 1.62/1.63 => ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_2)),hAPP_A659996934l_bool(B,X_2)))
% 1.62/1.63 => ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A)) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_220_complete__Lin,axiom,
% 1.62/1.63 ! [Aa,Ba] :
% 1.62/1.63 ( ( is_Arr723427730le_alt(Aa)
% 1.62/1.63 & is_Arr723427730le_alt(Ba) )
% 1.62/1.63 => ( Aa != Ba
% 1.62/1.63 => ? [X_1] :
% 1.62/1.63 ( is_fun20916972t_bool(X_1)
% 1.62/1.63 & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),arrow_912654623le_Lin))
% 1.62/1.63 & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Aa),Ba)),X_1)) ) ) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_221_Pi__UNIV,axiom,
% 1.62/1.63 ! [A] : pi_Pro1873779901t_bool(A,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool ).
% 1.62/1.63
% 1.62/1.63 fof(fact_222_Pi__UNIV,axiom,
% 1.62/1.63 ! [A] : pi_fun1555365306t_bool(A,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool ).
% 1.62/1.63
% 1.62/1.63 fof(fact_223_Pi__UNIV,axiom,
% 1.62/1.63 ! [A] : pi_Arr1801471756t_bool(A,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool ).
% 1.62/1.63
% 1.62/1.63 fof(fact_224_order__refl,axiom,
% 1.62/1.63 ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),X_2)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_225_order__refl,axiom,
% 1.62/1.63 ! [X_20] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_20),X_20)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_226_order__refl,axiom,
% 1.62/1.63 ! [X_2] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),X_2)) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_227__096EX_An_060N_O_A_IALL_Am_060_061n_O_Ab_A_060_092_060_094bsub_062F_A_I,axiom,
% 1.62/1.63 ? [N] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),finite354462354e_indi(top_to207207712i_bool)))
% 1.62/1.63 & ! [M] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),M))),lab)),lba)))) )
% 1.62/1.63 & hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)))),lab)),lba)))) ) ).
% 1.62/1.63
% 1.62/1.63 fof(fact_228__096_B_Bthesis_O_A_I_B_Bn_O_A_091_124_An_A_060_AN_059_AALL_Am_060_061n_,axiom,
% 1.62/1.63 ~ ! [N] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),finite354462354e_indi(top_to207207712i_bool)))
% 1.62/1.63 => ( ! [M] :
% 1.62/1.63 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 1.62/1.63 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),M))),lab)),lba)))) )
% 1.62/1.64 => ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)))),lab)),lba)))) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_229_linorder__le__cases,axiom,
% 1.62/1.64 ! [X_19,Y_19] :
% 1.62/1.64 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_19),Y_19))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_19),X_19)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_230_le__funE,axiom,
% 1.62/1.64 ! [X_2,F,G] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G,X_2))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_231_xt1_I6_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_232_xt1_I6_J,axiom,
% 1.62/1.64 ! [Z_7,Y_18,X_18] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_18),X_18))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_7),Y_18))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_7),X_18)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_233_xt1_I6_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_234_xt1_I5_J,axiom,
% 1.62/1.64 ! [Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(X_2)
% 1.62/1.64 <=> hBOOL(Y_2) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_235_xt1_I5_J,axiom,
% 1.62/1.64 ! [Y_17,X_17] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_17),X_17))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_17),Y_17))
% 1.62/1.64 => X_17 = Y_17 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_236_xt1_I5_J,axiom,
% 1.62/1.64 ! [Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 => X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_237_order__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_238_order__trans,axiom,
% 1.62/1.64 ! [Z_6,X_16,Y_16] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_16),Y_16))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_16),Z_6))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_16),Z_6)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_239_order__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_240_order__antisym,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(X_2)
% 1.62/1.64 <=> hBOOL(Y_2) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_241_order__antisym,axiom,
% 1.62/1.64 ! [X_15,Y_15] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_15),Y_15))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_15),X_15))
% 1.62/1.64 => X_15 = Y_15 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_242_order__antisym,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_2))
% 1.62/1.64 => X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_243_xt1_I4_J,axiom,
% 1.62/1.64 ! [Ca,Ba,Aa] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Ba),Aa))
% 1.62/1.64 => ( ( hBOOL(Ba)
% 1.62/1.64 <=> hBOOL(Ca) )
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Ca),Aa)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_244_xt1_I4_J,axiom,
% 1.62/1.64 ! [C_20,B_24,A_27] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_24),A_27))
% 1.62/1.64 => ( B_24 = C_20
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_20),A_27)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_245_xt1_I4_J,axiom,
% 1.62/1.64 ! [Ca,Ba,Aa] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))
% 1.62/1.64 => ( Ba = Ca
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ca),Aa)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_246_ord__le__eq__trans,axiom,
% 1.62/1.64 ! [Ca,Aa,Ba] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Aa),Ba))
% 1.62/1.64 => ( ( hBOOL(Ba)
% 1.62/1.64 <=> hBOOL(Ca) )
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Aa),Ca)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_247_ord__le__eq__trans,axiom,
% 1.62/1.64 ! [C_19,A_26,B_23] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_26),B_23))
% 1.62/1.64 => ( B_23 = C_19
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_26),C_19)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_248_ord__le__eq__trans,axiom,
% 1.62/1.64 ! [Ca,Aa,Ba] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))
% 1.62/1.64 => ( Ba = Ca
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ca)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_249_xt1_I3_J,axiom,
% 1.62/1.64 ! [Ca,Ba,Aa] :
% 1.62/1.64 ( ( hBOOL(Aa)
% 1.62/1.64 <=> hBOOL(Ba) )
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Ca),Ba))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Ca),Aa)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_250_xt1_I3_J,axiom,
% 1.62/1.64 ! [C_18,A_25,B_22] :
% 1.62/1.64 ( A_25 = B_22
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_18),B_22))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_18),A_25)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_251_xt1_I3_J,axiom,
% 1.62/1.64 ! [Ca,Aa,Ba] :
% 1.62/1.64 ( Aa = Ba
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ca),Ba))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ca),Aa)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_252_ord__eq__le__trans,axiom,
% 1.62/1.64 ! [Ca,Ba,Aa] :
% 1.62/1.64 ( ( hBOOL(Aa)
% 1.62/1.64 <=> hBOOL(Ba) )
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Ba),Ca))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Aa),Ca)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_253_ord__eq__le__trans,axiom,
% 1.62/1.64 ! [C_17,A_24,B_21] :
% 1.62/1.64 ( A_24 = B_21
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_21),C_17))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_24),C_17)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_254_ord__eq__le__trans,axiom,
% 1.62/1.64 ! [Ca,Aa,Ba] :
% 1.62/1.64 ( Aa = Ba
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Ca))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ca)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_255_order__antisym__conv,axiom,
% 1.62/1.64 ! [Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(X_2)
% 1.62/1.64 <=> hBOOL(Y_2) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_256_order__antisym__conv,axiom,
% 1.62/1.64 ! [Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2))
% 1.62/1.64 <=> X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_257_order__antisym__conv,axiom,
% 1.62/1.64 ! [Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 <=> X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_258_le__funD,axiom,
% 1.62/1.64 ! [X_2,F,G] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G,X_2))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_259_order__eq__refl,axiom,
% 1.62/1.64 ! [Y_2,X_2] :
% 1.62/1.64 ( ( hBOOL(X_2)
% 1.62/1.64 <=> hBOOL(Y_2) )
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_260_order__eq__refl,axiom,
% 1.62/1.64 ! [X_14,Y_14] :
% 1.62/1.64 ( X_14 = Y_14
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_14),Y_14)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_261_order__eq__refl,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( X_2 = Y_2
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_262_order__eq__iff,axiom,
% 1.62/1.64 ! [Y_2,X_2] :
% 1.62/1.64 ( ( hBOOL(X_2)
% 1.62/1.64 <=> hBOOL(Y_2) )
% 1.62/1.64 <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 & hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_263_order__eq__iff,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( X_2 = Y_2
% 1.62/1.64 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2))
% 1.62/1.64 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_2),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_264_order__eq__iff,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( X_2 = Y_2
% 1.62/1.64 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_265_linorder__linear,axiom,
% 1.62/1.64 ! [X_13,Y_13] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_13),Y_13))
% 1.62/1.64 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_13),X_13)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_266_le__fun__def,axiom,
% 1.62/1.64 ! [F,G] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))
% 1.62/1.64 <=> ! [X_1] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G,X_1))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_267_linorder__not__less,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.64 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_2),X_2)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_268_linorder__not__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2))
% 1.62/1.64 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_2)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_269_linorder__le__less__linear,axiom,
% 1.62/1.64 ! [X_12,Y_12] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_12),Y_12))
% 1.62/1.64 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_12)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_270_order__less__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ( is_fun1568535512t_bool(X_2)
% 1.62/1.64 & is_fun1568535512t_bool(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X_2),Y_2))
% 1.62/1.64 & X_2 != Y_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_271_order__less__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ( is_fun2015243113i_bool(X_2)
% 1.62/1.64 & is_fun2015243113i_bool(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X_2),Y_2))
% 1.62/1.64 & X_2 != Y_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_272_order__less__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 & ~ ( hBOOL(X_2)
% 1.62/1.64 <=> hBOOL(Y_2) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_273_order__less__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 & X_2 != Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_274_order__less__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2))
% 1.62/1.64 & X_2 != Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_275_less__le__not__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X_2),Y_2))
% 1.62/1.64 & ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Y_2),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_276_less__le__not__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X_2),Y_2))
% 1.62/1.64 & ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Y_2),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_277_less__le__not__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 & ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_278_less__le__not__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 & ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_279_less__le__not__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2))
% 1.62/1.64 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_2),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_280_order__le__less,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ( is_fun1568535512t_bool(X_2)
% 1.62/1.64 & is_fun1568535512t_bool(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.64 | X_2 = Y_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_281_order__le__less,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ( is_fun2015243113i_bool(X_2)
% 1.62/1.64 & is_fun2015243113i_bool(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.64 | X_2 = Y_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_282_order__le__less,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X_2),Y_2))
% 1.62/1.64 | ( hBOOL(X_2)
% 1.62/1.64 <=> hBOOL(Y_2) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_283_order__le__less,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.64 | X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_284_order__le__less,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2))
% 1.62/1.64 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.64 | X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_285_leI,axiom,
% 1.62/1.64 ! [X_11,Y_11] :
% 1.62/1.64 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_11))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_11),X_11)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_286_not__leE,axiom,
% 1.62/1.64 ! [Y_10,X_10] :
% 1.62/1.64 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_10),X_10))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_10)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_287_linorder__antisym__conv1,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2))
% 1.62/1.64 <=> X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_288_order__neq__le__trans,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( ( is_fun1568535512t_bool(Aa)
% 1.62/1.64 & is_fun1568535512t_bool(Ba) )
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Aa),Ba))
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Aa),Ba)) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_289_order__neq__le__trans,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( ( is_fun2015243113i_bool(Aa)
% 1.62/1.64 & is_fun2015243113i_bool(Ba) )
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Aa),Ba))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Aa),Ba)) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_290_order__neq__le__trans,axiom,
% 1.62/1.64 ! [Ba,Aa] :
% 1.62/1.64 ( ~ ( hBOOL(Aa)
% 1.62/1.64 <=> hBOOL(Ba) )
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Aa),Ba))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Aa),Ba)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_291_order__neq__le__trans,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( Aa != Ba
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_292_order__neq__le__trans,axiom,
% 1.62/1.64 ! [A_23,B_20] :
% 1.62/1.64 ( A_23 != B_20
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_23),B_20))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_23),B_20)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_293_xt1_I12_J,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( ( is_fun1568535512t_bool(Aa)
% 1.62/1.64 & is_fun1568535512t_bool(Ba) )
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Ba),Aa))
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ba),Aa)) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_294_xt1_I12_J,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( ( is_fun2015243113i_bool(Aa)
% 1.62/1.64 & is_fun2015243113i_bool(Ba) )
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Ba),Aa))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ba),Aa)) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_295_xt1_I12_J,axiom,
% 1.62/1.64 ! [Ba,Aa] :
% 1.62/1.64 ( ~ ( hBOOL(Aa)
% 1.62/1.64 <=> hBOOL(Ba) )
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Ba),Aa))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Ba),Aa)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_296_xt1_I12_J,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( Aa != Ba
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_297_xt1_I12_J,axiom,
% 1.62/1.64 ! [A_22,B_19] :
% 1.62/1.64 ( A_22 != B_19
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_19),A_22))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_19),A_22)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_298_leD,axiom,
% 1.62/1.64 ! [Y_9,X_9] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_9),X_9))
% 1.62/1.64 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_9)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_299_order__less__imp__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X_2),Y_2)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_300_order__less__imp__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X_2),Y_2)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_301_order__less__imp__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X_2),Y_2))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_302_order__less__imp__le,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_303_order__less__imp__le,axiom,
% 1.62/1.64 ! [X_8,Y_8] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),Y_8))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_8),Y_8)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_304_linorder__antisym__conv2,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2))
% 1.62/1.64 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))
% 1.62/1.64 <=> X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_305_order__le__imp__less__or__eq,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ( is_fun1568535512t_bool(X_2)
% 1.62/1.64 & is_fun1568535512t_bool(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.64 | X_2 = Y_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_306_order__le__imp__less__or__eq,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( ( is_fun2015243113i_bool(X_2)
% 1.62/1.64 & is_fun2015243113i_bool(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.64 | X_2 = Y_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_307_order__le__imp__less__or__eq,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X_2),Y_2))
% 1.62/1.64 | ( hBOOL(X_2)
% 1.62/1.64 <=> hBOOL(Y_2) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_308_order__le__imp__less__or__eq,axiom,
% 1.62/1.64 ! [X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.64 | X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_309_order__le__imp__less__or__eq,axiom,
% 1.62/1.64 ! [X_7,Y_7] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_7),Y_7))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_7),Y_7))
% 1.62/1.64 | X_7 = Y_7 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_310_order__le__neq__trans,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( ( is_fun1568535512t_bool(Aa)
% 1.62/1.64 & is_fun1568535512t_bool(Ba) )
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Aa),Ba))
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Aa),Ba)) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_311_order__le__neq__trans,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( ( is_fun2015243113i_bool(Aa)
% 1.62/1.64 & is_fun2015243113i_bool(Ba) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Aa),Ba))
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Aa),Ba)) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_312_order__le__neq__trans,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Aa),Ba))
% 1.62/1.64 => ( ~ ( hBOOL(Aa)
% 1.62/1.64 <=> hBOOL(Ba) )
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Aa),Ba)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_313_order__le__neq__trans,axiom,
% 1.62/1.64 ! [Aa,Ba] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_314_order__le__neq__trans,axiom,
% 1.62/1.64 ! [A_21,B_18] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_21),B_18))
% 1.62/1.64 => ( A_21 != B_18
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_21),B_18)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_315_xt1_I11_J,axiom,
% 1.62/1.64 ! [Ba,Aa] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_316_xt1_I11_J,axiom,
% 1.62/1.64 ! [Ba,Aa] :
% 1.62/1.64 ( ( is_fun1568535512t_bool(Ba)
% 1.62/1.64 & is_fun1568535512t_bool(Aa) )
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Ba),Aa))
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Ba),Aa)) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_317_xt1_I11_J,axiom,
% 1.62/1.64 ! [Ba,Aa] :
% 1.62/1.64 ( ( is_fun2015243113i_bool(Ba)
% 1.62/1.64 & is_fun2015243113i_bool(Aa) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Ba),Aa))
% 1.62/1.64 => ( Aa != Ba
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Ba),Aa)) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_318_xt1_I11_J,axiom,
% 1.62/1.64 ! [B_17,A_20] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_17),A_20))
% 1.62/1.64 => ( A_20 != B_17
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_17),A_20)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_319_xt1_I11_J,axiom,
% 1.62/1.64 ! [Ba,Aa] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Ba),Aa))
% 1.62/1.64 => ( ~ ( hBOOL(Aa)
% 1.62/1.64 <=> hBOOL(Ba) )
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Ba),Aa)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_320_order__less__le__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_321_order__less__le__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_322_order__less__le__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_323_order__less__le__trans,axiom,
% 1.62/1.64 ! [Z_5,X_6,Y_6] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_6),Y_6))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_6),Z_5))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_6),Z_5)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_324_order__less__le__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_325_xt1_I7_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_326_xt1_I7_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_327_xt1_I7_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_328_xt1_I7_J,axiom,
% 1.62/1.64 ! [Z_4,Y_5,X_5] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_5),X_5))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_4),Y_5))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_4),X_5)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_329_xt1_I7_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_330_order__le__less__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_331_order__le__less__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_332_order__le__less__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_333_order__le__less__trans,axiom,
% 1.62/1.64 ! [Z_3,X_4,Y_4] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_4),Y_4))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_4),Z_3))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_4),Z_3)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_334_order__le__less__trans,axiom,
% 1.62/1.64 ! [Z_1,X_2,Y_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_2),Y_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Y_2),Z_1))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X_2),Z_1)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_335_xt1_I8_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_336_xt1_I8_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_337_xt1_I8_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_338_xt1_I8_J,axiom,
% 1.62/1.64 ! [Z_2,Y_3,X_3] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_3),X_3))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),Y_3))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_3)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_339_xt1_I8_J,axiom,
% 1.62/1.64 ! [Z_1,Y_2,X_2] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_2))
% 1.62/1.64 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Z_1),Y_2))
% 1.62/1.64 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Z_1),X_2)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_340_top__greatest,axiom,
% 1.62/1.64 ! [Aa] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Aa),top_top_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_341_top__greatest,axiom,
% 1.62/1.64 ! [Aa] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,Aa),top_to846262053l_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_342_top__greatest,axiom,
% 1.62/1.64 ! [Aa] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,Aa),top_to1849101472l_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_343_top__greatest,axiom,
% 1.62/1.64 ! [Aa] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,Aa),top_to935749874l_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_344_top__greatest,axiom,
% 1.62/1.64 ! [Aa] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,Aa),top_to1773227171t_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_345_top__greatest,axiom,
% 1.62/1.64 ! [Aa] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),top_top_fun_nat_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_346_top__greatest,axiom,
% 1.62/1.64 ! [Aa] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,Aa),top_to1257323279t_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_347_top__greatest,axiom,
% 1.62/1.64 ! [Aa] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,Aa),top_to207207712i_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_348_top__unique,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),Aa))
% 1.62/1.64 <=> ( hBOOL(Aa)
% 1.62/1.64 <=> hBOOL(top_top_bool) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_349_top__unique,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun1420103068l_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),Aa))
% 1.62/1.64 <=> Aa = top_to846262053l_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_350_top__unique,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun292781289l_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),Aa))
% 1.62/1.64 <=> Aa = top_to1849101472l_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_351_top__unique,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun701126715l_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),Aa))
% 1.62/1.64 <=> Aa = top_to935749874l_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_352_top__unique,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun20916972t_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),Aa))
% 1.62/1.64 <=> Aa = top_to1773227171t_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_353_top__unique,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),Aa))
% 1.62/1.64 <=> Aa = top_top_fun_nat_bool ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_354_top__unique,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun1568535512t_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),Aa))
% 1.62/1.64 <=> Aa = top_to1257323279t_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_355_top__unique,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun2015243113i_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),Aa))
% 1.62/1.64 <=> Aa = top_to207207712i_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_356_top__le,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),Aa))
% 1.62/1.64 => ( hBOOL(Aa)
% 1.62/1.64 <=> hBOOL(top_top_bool) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_357_top__le,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun1420103068l_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),Aa))
% 1.62/1.64 => Aa = top_to846262053l_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_358_top__le,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun292781289l_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),Aa))
% 1.62/1.64 => Aa = top_to1849101472l_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_359_top__le,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun701126715l_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),Aa))
% 1.62/1.64 => Aa = top_to935749874l_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_360_top__le,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun20916972t_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),Aa))
% 1.62/1.64 => Aa = top_to1773227171t_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_361_top__le,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),Aa))
% 1.62/1.64 => Aa = top_top_fun_nat_bool ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_362_top__le,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun1568535512t_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),Aa))
% 1.62/1.64 => Aa = top_to1257323279t_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_363_top__le,axiom,
% 1.62/1.64 ! [Aa] :
% 1.62/1.64 ( is_fun2015243113i_bool(Aa)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),Aa))
% 1.62/1.64 => Aa = top_to207207712i_bool ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_364_inj__on__def,axiom,
% 1.62/1.64 ! [F,A] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A))
% 1.62/1.64 <=> ! [X_1] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 1.62/1.64 => ! [Xa] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),A))
% 1.62/1.64 => ( hAPP_nat_nat(F,X_1) = hAPP_nat_nat(F,Xa)
% 1.62/1.64 => X_1 = Xa ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_365_inj__on__def,axiom,
% 1.62/1.64 ! [F,A] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A))
% 1.62/1.64 <=> ! [X_1] :
% 1.62/1.64 ( is_Arr859726945e_indi(X_1)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A))
% 1.62/1.64 => ! [Xa] :
% 1.62/1.64 ( is_Arr859726945e_indi(Xa)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Xa),A))
% 1.62/1.64 => ( hAPP_A1895296483di_nat(F,X_1) = hAPP_A1895296483di_nat(F,Xa)
% 1.62/1.64 => X_1 = Xa ) ) ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_366_inj__on__contraD,axiom,
% 1.62/1.64 ! [X_2,Y_2,F,A] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A))
% 1.62/1.64 => ( X_2 != Y_2
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_2),A))
% 1.62/1.64 => hAPP_nat_nat(F,X_2) != hAPP_nat_nat(F,Y_2) ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_367_inj__on__contraD,axiom,
% 1.62/1.64 ! [X_2,Y_2,F,A] :
% 1.62/1.64 ( ( is_Arr859726945e_indi(X_2)
% 1.62/1.64 & is_Arr859726945e_indi(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A))
% 1.62/1.64 => ( X_2 != Y_2
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Y_2),A))
% 1.62/1.64 => hAPP_A1895296483di_nat(F,X_2) != hAPP_A1895296483di_nat(F,Y_2) ) ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_368_inj__on__iff,axiom,
% 1.62/1.64 ! [Y_2,X_2,F,A] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_2),A))
% 1.62/1.64 => ( hAPP_nat_nat(F,X_2) = hAPP_nat_nat(F,Y_2)
% 1.62/1.64 <=> X_2 = Y_2 ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_369_inj__on__iff,axiom,
% 1.62/1.64 ! [Y_2,X_2,F,A] :
% 1.62/1.64 ( ( is_Arr859726945e_indi(Y_2)
% 1.62/1.64 & is_Arr859726945e_indi(X_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Y_2),A))
% 1.62/1.64 => ( hAPP_A1895296483di_nat(F,X_2) = hAPP_A1895296483di_nat(F,Y_2)
% 1.62/1.64 <=> X_2 = Y_2 ) ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_370_inj__onD,axiom,
% 1.62/1.64 ! [X_2,Y_2,F,A] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A))
% 1.62/1.64 => ( hAPP_nat_nat(F,X_2) = hAPP_nat_nat(F,Y_2)
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_2),A))
% 1.62/1.64 => X_2 = Y_2 ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_371_inj__onD,axiom,
% 1.62/1.64 ! [X_2,Y_2,F,A] :
% 1.62/1.64 ( ( is_Arr859726945e_indi(X_2)
% 1.62/1.64 & is_Arr859726945e_indi(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A))
% 1.62/1.64 => ( hAPP_A1895296483di_nat(F,X_2) = hAPP_A1895296483di_nat(F,Y_2)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Y_2),A))
% 1.62/1.64 => X_2 = Y_2 ) ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_372_Pi__mem,axiom,
% 1.62/1.64 ! [X_2,F,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,B)))
% 1.62/1.64 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A))
% 1.62/1.64 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_2)),hAPP_P1122857141l_bool(B,X_2))) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_373_Pi__mem,axiom,
% 1.62/1.64 ! [X_2,F,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,B)))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_2)),hAPP_A659996934l_bool(B,X_2))) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_374_Pi__mem,axiom,
% 1.62/1.64 ! [X_2,F,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,B)))
% 1.62/1.64 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A))
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_2)),hAPP_f1895971544l_bool(B,X_2))) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_375_Prof__def,axiom,
% 1.62/1.64 arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_376_inj__on__id2,axiom,
% 1.62/1.64 ! [A] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),A)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_377_funcset__mem,axiom,
% 1.62/1.64 ! [X_2,F,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,B))))
% 1.62/1.64 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A))
% 1.62/1.64 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_2)),B)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_378_funcset__mem,axiom,
% 1.62/1.64 ! [X_2,F,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,B))))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_2)),B)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_379_funcset__mem,axiom,
% 1.62/1.64 ! [X_2,F,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,B))))
% 1.62/1.64 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A))
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_2)),B)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_380_dictator__def,axiom,
% 1.62/1.64 ! [Fa,I_1] :
% 1.62/1.64 ( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,Fa),I_1))
% 1.62/1.64 <=> ! [X_1] :
% 1.62/1.64 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),arrow_583275979e_Prof))
% 1.62/1.64 => hAPP_f1817389232t_bool(Fa,X_1) = hAPP_A340536322t_bool(X_1,I_1) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_381_inj__eq,axiom,
% 1.62/1.64 ! [X_2,Y_2,F] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),top_top_fun_nat_bool))
% 1.62/1.64 => ( hAPP_nat_nat(F,X_2) = hAPP_nat_nat(F,Y_2)
% 1.62/1.64 <=> X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_382_inj__eq,axiom,
% 1.62/1.64 ! [X_2,Y_2,F] :
% 1.62/1.64 ( ( is_Arr859726945e_indi(X_2)
% 1.62/1.64 & is_Arr859726945e_indi(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),top_to207207712i_bool))
% 1.62/1.64 => ( hAPP_A1895296483di_nat(F,X_2) = hAPP_A1895296483di_nat(F,Y_2)
% 1.62/1.64 <=> X_2 = Y_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_383_injD,axiom,
% 1.62/1.64 ! [X_2,Y_2,F] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),top_top_fun_nat_bool))
% 1.62/1.64 => ( hAPP_nat_nat(F,X_2) = hAPP_nat_nat(F,Y_2)
% 1.62/1.64 => X_2 = Y_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_384_injD,axiom,
% 1.62/1.64 ! [X_2,Y_2,F] :
% 1.62/1.64 ( ( is_Arr859726945e_indi(X_2)
% 1.62/1.64 & is_Arr859726945e_indi(Y_2) )
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),top_to207207712i_bool))
% 1.62/1.64 => ( hAPP_A1895296483di_nat(F,X_2) = hAPP_A1895296483di_nat(F,Y_2)
% 1.62/1.64 => X_2 = Y_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_385_inv__into__f__f,axiom,
% 1.62/1.64 ! [X_2,F,A] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.64 => hAPP_nat_nat(hilber195283148at_nat(A,F),hAPP_nat_nat(F,X_2)) = X_2 ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_386_inv__into__f__f,axiom,
% 1.62/1.64 ! [X_2,F,A] :
% 1.62/1.64 ( is_Arr859726945e_indi(X_2)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.64 => hAPP_n619554777e_indi(hilber951314860di_nat(A,F),hAPP_A1895296483di_nat(F,X_2)) = X_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_387_inv__into__f__eq,axiom,
% 1.62/1.64 ! [Y_2,X_2,F,A] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.64 => ( hAPP_nat_nat(F,X_2) = Y_2
% 1.62/1.64 => hAPP_nat_nat(hilber195283148at_nat(A,F),Y_2) = X_2 ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_388_inv__into__f__eq,axiom,
% 1.62/1.64 ! [Y_2,X_2,F,A] :
% 1.62/1.64 ( is_Arr859726945e_indi(X_2)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.64 => ( hAPP_A1895296483di_nat(F,X_2) = Y_2
% 1.62/1.64 => hAPP_n619554777e_indi(hilber951314860di_nat(A,F),Y_2) = X_2 ) ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_389_Pi__I,axiom,
% 1.62/1.64 ! [F,B,A] :
% 1.62/1.64 ( ! [X_1] :
% 1.62/1.64 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A))
% 1.62/1.64 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_1)),hAPP_P1122857141l_bool(B,X_1))) )
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,B))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_390_Pi__I,axiom,
% 1.62/1.64 ! [F,B,A] :
% 1.62/1.64 ( ! [X_1] :
% 1.62/1.64 ( is_Arr859726945e_indi(X_1)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A))
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_1)),hAPP_A659996934l_bool(B,X_1))) ) )
% 1.62/1.64 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,B))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_391_Pi__I,axiom,
% 1.62/1.64 ! [F,B,A] :
% 1.62/1.64 ( ! [X_1] :
% 1.62/1.64 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A))
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_1)),hAPP_f1895971544l_bool(B,X_1))) )
% 1.62/1.64 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,B))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_392_inj__imp__inv__eq,axiom,
% 1.62/1.64 ! [G,F] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),top_top_fun_nat_bool))
% 1.62/1.64 => ( ! [X_1] : hAPP_nat_nat(F,hAPP_nat_nat(G,X_1)) = X_1
% 1.62/1.64 => hilber195283148at_nat(top_top_fun_nat_bool,F) = G ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_393_inj__imp__inv__eq,axiom,
% 1.62/1.64 ! [G,F] :
% 1.62/1.64 ( is_fun1084921220e_indi(G)
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),top_to207207712i_bool))
% 1.62/1.64 => ( ! [X_1] : hAPP_A1895296483di_nat(F,hAPP_n619554777e_indi(G,X_1)) = X_1
% 1.62/1.64 => hilber951314860di_nat(top_to207207712i_bool,F) = G ) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_394_less__add__one,axiom,
% 1.62/1.64 ! [A_19] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_19),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_19),one_one_nat))) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_395_add__less__le__mono,axiom,
% 1.62/1.64 ! [C_16,D_3,A_18,B_16] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_18),B_16))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_16),D_3))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_18),C_16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_16),D_3))) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_396_add__le__less__mono,axiom,
% 1.62/1.64 ! [C_15,D_2,A_17,B_15] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_17),B_15))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_15),D_2))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_17),C_15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_15),D_2))) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_397_injI,axiom,
% 1.62/1.64 ! [F] :
% 1.62/1.64 ( ! [X_1,Y_1] :
% 1.62/1.64 ( hAPP_nat_nat(F,X_1) = hAPP_nat_nat(F,Y_1)
% 1.62/1.64 => X_1 = Y_1 )
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),top_top_fun_nat_bool)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_398_injI,axiom,
% 1.62/1.64 ! [F] :
% 1.62/1.64 ( ! [X_1,Y_1] :
% 1.62/1.64 ( ( is_Arr859726945e_indi(X_1)
% 1.62/1.64 & is_Arr859726945e_indi(Y_1) )
% 1.62/1.64 => ( hAPP_A1895296483di_nat(F,X_1) = hAPP_A1895296483di_nat(F,Y_1)
% 1.62/1.64 => X_1 = Y_1 ) )
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),top_to207207712i_bool)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_399_less__fun__def,axiom,
% 1.62/1.64 ! [F,G] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,F),G))
% 1.62/1.64 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))
% 1.62/1.64 & ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,G),F)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_400_less__fun__def,axiom,
% 1.62/1.64 ! [F,G] :
% 1.62/1.64 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,F),G))
% 1.62/1.64 <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,F),G))
% 1.62/1.64 & ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,G),F)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_401_less__fun__def,axiom,
% 1.62/1.64 ! [F,G] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,F),G))
% 1.62/1.64 <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,F),G))
% 1.62/1.64 & ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,G),F)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_402_Pi__anti__mono,axiom,
% 1.62/1.64 ! [B,A_16,A] :
% 1.62/1.64 ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,A_16),A))
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(A,B)),pi_Pro1873779901t_bool(A_16,B))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_403_Pi__anti__mono,axiom,
% 1.62/1.64 ! [B,A_16,A] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A_16),A))
% 1.62/1.64 => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(A,B)),pi_Arr1801471756t_bool(A_16,B))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_404_Pi__anti__mono,axiom,
% 1.62/1.64 ! [B,A_16,A] :
% 1.62/1.64 ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,A_16),A))
% 1.62/1.64 => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(A,B)),pi_fun1555365306t_bool(A_16,B))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_405_pred__subset__eq2,axiom,
% 1.62/1.64 ! [R_1,S_1] :
% 1.62/1.64 ( hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),R_1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),S_1)))
% 1.62/1.64 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,R_1),S_1)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_406_subset__UNIV,axiom,
% 1.62/1.64 ! [A] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,A),top_to846262053l_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_407_subset__UNIV,axiom,
% 1.62/1.64 ! [A] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,A),top_to1849101472l_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_408_subset__UNIV,axiom,
% 1.62/1.64 ! [A] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,A),top_to935749874l_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_409_subset__UNIV,axiom,
% 1.62/1.64 ! [A] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,A),top_to1773227171t_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_410_subset__UNIV,axiom,
% 1.62/1.64 ! [A] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),top_top_fun_nat_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_411_subset__UNIV,axiom,
% 1.62/1.64 ! [A] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),top_to1257323279t_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_412_subset__UNIV,axiom,
% 1.62/1.64 ! [A] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),top_to207207712i_bool)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_413_subset__inj__on,axiom,
% 1.62/1.64 ! [A,F,B] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),B))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_414_subset__inj__on,axiom,
% 1.62/1.64 ! [A,F,B] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),B))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_415_add__right__imp__eq,axiom,
% 1.62/1.64 ! [B_14,A_15,C_14] :
% 1.62/1.64 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_14),A_15) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_14),A_15)
% 1.62/1.64 => B_14 = C_14 ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_416_add__imp__eq,axiom,
% 1.62/1.64 ! [A_14,B_13,C_13] :
% 1.62/1.64 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_14),B_13) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_14),C_13)
% 1.62/1.64 => B_13 = C_13 ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_417_add__left__imp__eq,axiom,
% 1.62/1.64 ! [A_13,B_12,C_12] :
% 1.62/1.64 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),B_12) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),C_12)
% 1.62/1.64 => B_12 = C_12 ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_418_add__right__cancel,axiom,
% 1.62/1.64 ! [Ba,Aa,Ca] :
% 1.62/1.64 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ca),Aa)
% 1.62/1.64 <=> Ba = Ca ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_419_add__left__cancel,axiom,
% 1.62/1.64 ! [Aa,Ba,Ca] :
% 1.62/1.64 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ba) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ca)
% 1.62/1.64 <=> Ba = Ca ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_420_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 1.62/1.64 ! [A_12,B_11,C_11] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),B_11)),C_11) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_11),C_11)) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_421_one__reorient,axiom,
% 1.62/1.64 ! [X_2] :
% 1.62/1.64 ( one_one_nat = X_2
% 1.62/1.64 <=> X_2 = one_one_nat ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_422_add__le__imp__le__left,axiom,
% 1.62/1.64 ! [C_10,A_11,B_10] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_10),A_11)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_10),B_10)))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_11),B_10)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_423_add__le__imp__le__right,axiom,
% 1.62/1.64 ! [A_10,C_9,B_9] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_10),C_9)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_9),C_9)))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_10),B_9)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_424_add__mono,axiom,
% 1.62/1.64 ! [C_8,D_1,A_9,B_8] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_9),B_8))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_8),D_1))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_9),C_8)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_8),D_1))) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_425_add__left__mono,axiom,
% 1.62/1.64 ! [C_7,A_8,B_7] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_8),B_7))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_7),A_8)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_7),B_7))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_426_add__right__mono,axiom,
% 1.62/1.64 ! [C_6,A_7,B_6] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_7),B_6))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_7),C_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_6),C_6))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_427_add__le__cancel__left,axiom,
% 1.62/1.64 ! [Ca,Aa,Ba] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ca),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ca),Ba)))
% 1.62/1.64 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Aa),Ba)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_428_add__le__cancel__right,axiom,
% 1.62/1.64 ! [Aa,Ca,Ba] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ca)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Ca)))
% 1.62/1.64 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Aa),Ba)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_429_add__less__imp__less__left,axiom,
% 1.62/1.64 ! [C_5,A_6,B_5] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_5),A_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_5),B_5)))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),B_5)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_430_add__less__imp__less__right,axiom,
% 1.62/1.64 ! [A_5,C_4,B_4] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_5),C_4)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_4),C_4)))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_5),B_4)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_431_add__strict__mono,axiom,
% 1.62/1.64 ! [C_3,D,A_4,B_3] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_4),B_3))
% 1.62/1.64 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_3),D))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_4),C_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D))) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_432_add__strict__left__mono,axiom,
% 1.62/1.64 ! [C_2,A_3,B_2] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_3),B_2))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),A_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_2),B_2))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_433_add__strict__right__mono,axiom,
% 1.62/1.64 ! [C_1,A_2,B_1] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_1))
% 1.62/1.64 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_1),C_1))) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_434_add__less__cancel__left,axiom,
% 1.62/1.64 ! [Ca,Aa,Ba] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ca),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ca),Ba)))
% 1.62/1.64 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_435_add__less__cancel__right,axiom,
% 1.62/1.64 ! [Aa,Ca,Ba] :
% 1.62/1.64 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ca)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Ca)))
% 1.62/1.64 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_436_le__funI,axiom,
% 1.62/1.64 ! [F,G] :
% 1.62/1.64 ( ! [X_1] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G,X_1)))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G)) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_437_equalityI,axiom,
% 1.62/1.64 ! [A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))
% 1.62/1.64 => A = B ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_438_subsetD,axiom,
% 1.62/1.64 ! [Ca,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,A),B))
% 1.62/1.64 => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Ca),A))
% 1.62/1.64 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Ca),B)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_439_subsetD,axiom,
% 1.62/1.64 ! [Ca,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B))
% 1.62/1.64 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,Ca),A))
% 1.62/1.64 => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,Ca),B)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_440_subsetD,axiom,
% 1.62/1.64 ! [Ca,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B))
% 1.62/1.64 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Ca),A))
% 1.62/1.64 => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Ca),B)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_441_subsetD,axiom,
% 1.62/1.64 ! [Ca,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.64 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Ca),A))
% 1.62/1.64 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Ca),B)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_442_subsetD,axiom,
% 1.62/1.64 ! [Ca,A,B] :
% 1.62/1.64 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,A),B))
% 1.62/1.64 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,Ca),A))
% 1.62/1.64 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,Ca),B)) ) ) ).
% 1.62/1.64
% 1.62/1.64 fof(fact_443_subsetD,axiom,
% 1.62/1.64 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_444_subsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_445_subsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_446_psubset__eq,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))
% 1.62/1.65 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 & A != B ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_447_psubset__eq,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( ( is_fun1568535512t_bool(A)
% 1.62/1.65 & is_fun1568535512t_bool(B) )
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),B))
% 1.62/1.65 <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B))
% 1.62/1.65 & A != B ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_448_psubset__eq,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( ( is_fun2015243113i_bool(A)
% 1.62/1.65 & is_fun2015243113i_bool(B) )
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),B))
% 1.62/1.65 <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B))
% 1.62/1.65 & A != B ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_449_subset__iff__psubset__eq,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))
% 1.62/1.65 | A = B ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_450_subset__iff__psubset__eq,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( ( is_fun1568535512t_bool(A)
% 1.62/1.65 & is_fun1568535512t_bool(B) )
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B))
% 1.62/1.65 <=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),B))
% 1.62/1.65 | A = B ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_451_subset__iff__psubset__eq,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( ( is_fun2015243113i_bool(A)
% 1.62/1.65 & is_fun2015243113i_bool(B) )
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B))
% 1.62/1.65 <=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),B))
% 1.62/1.65 | A = B ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_452_psubset__imp__subset,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_453_psubset__imp__subset,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_454_psubset__imp__subset,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_455_psubset__subset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_456_psubset__subset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_457_psubset__subset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_458_subset__psubset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_459_subset__psubset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_460_subset__psubset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_461_equalityE,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( A = B
% 1.62/1.65 => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_462_subset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_463_set__mp,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_464_set__mp,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_465_set__mp,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_466_set__mp,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_467_set__mp,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_468_set__mp,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_469_set__mp,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_470_set__mp,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_471_set__rev__mp,axiom,
% 1.62/1.65 ! [B,X_2,A] :
% 1.62/1.65 ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A))
% 1.62/1.65 => ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_472_set__rev__mp,axiom,
% 1.62/1.65 ! [B,X_2,A] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A))
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_473_set__rev__mp,axiom,
% 1.62/1.65 ! [B,X_2,A] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_474_set__rev__mp,axiom,
% 1.62/1.65 ! [B,X_2,A] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_475_set__rev__mp,axiom,
% 1.62/1.65 ! [B,X_2,A] :
% 1.62/1.65 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_476_set__rev__mp,axiom,
% 1.62/1.65 ! [B,X_2,A] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A))
% 1.62/1.65 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_477_set__rev__mp,axiom,
% 1.62/1.65 ! [B,X_2,A] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_478_set__rev__mp,axiom,
% 1.62/1.65 ! [B,X_2,A] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,A),B))
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_479_predicate1D,axiom,
% 1.62/1.65 ! [X_2,Pa,Q_1] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Pa),Q_1))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(Pa,X_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(Q_1,X_2)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_480_in__mono,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_481_in__mono,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_482_in__mono,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_483_in__mono,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_484_in__mono,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_485_in__mono,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_486_in__mono,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_487_in__mono,axiom,
% 1.62/1.65 ! [X_2,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),A))
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_2),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_488_equalityD2,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( A = B
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_489_equalityD1,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( A = B
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_490_rev__predicate1D,axiom,
% 1.62/1.65 ! [Q_1,Pa,X_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(Pa,X_2))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Pa),Q_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(Q_1,X_2)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_491_set__eq__subset,axiom,
% 1.62/1.65 ! [A,B] :
% 1.62/1.65 ( A = B
% 1.62/1.65 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 1.62/1.65 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_492_subset__refl,axiom,
% 1.62/1.65 ! [A] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),A)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_493_pred__subset__eq,axiom,
% 1.62/1.65 ! [R_1,S_1] :
% 1.62/1.65 ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),R_1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),S_1)))
% 1.62/1.65 <=> hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,R_1),S_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_494_pred__subset__eq,axiom,
% 1.62/1.65 ! [R_1,S_1] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),R_1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),S_1)))
% 1.62/1.65 <=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,R_1),S_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_495_pred__subset__eq,axiom,
% 1.62/1.65 ! [R_1,S_1] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),R_1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),S_1)))
% 1.62/1.65 <=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,R_1),S_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_496_pred__subset__eq,axiom,
% 1.62/1.65 ! [R_1,S_1] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),R_1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),S_1)))
% 1.62/1.65 <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,R_1),S_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_497_pred__subset__eq,axiom,
% 1.62/1.65 ! [R_1,S_1] :
% 1.62/1.65 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),R_1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),S_1)))
% 1.62/1.65 <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,R_1),S_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_498_pred__subset__eq,axiom,
% 1.62/1.65 ! [R_1,S_1] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),R_1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),S_1)))
% 1.62/1.65 <=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,R_1),S_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_499_pred__subset__eq,axiom,
% 1.62/1.65 ! [R_1,S_1] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),R_1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),S_1)))
% 1.62/1.65 <=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,R_1),S_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_500_pred__subset__eq,axiom,
% 1.62/1.65 ! [R_1,S_1] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),R_1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),S_1)))
% 1.62/1.65 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,R_1),S_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_501_Pi__mono,axiom,
% 1.62/1.65 ! [B,C,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(B,X_1)),hAPP_P1122857141l_bool(C,X_1))) )
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(A,B)),pi_Pro1873779901t_bool(A,C))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_502_Pi__mono,axiom,
% 1.62/1.65 ! [B,C,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( is_Arr859726945e_indi(X_1)
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(B,X_1)),hAPP_A659996934l_bool(C,X_1))) ) )
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(A,B)),pi_Arr1801471756t_bool(A,C))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_503_Pi__mono,axiom,
% 1.62/1.65 ! [B,C,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(B,X_1)),hAPP_f1895971544l_bool(C,X_1))) )
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(A,B)),pi_fun1555365306t_bool(A,C))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_504_subsetI,axiom,
% 1.62/1.65 ! [B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( is_bool(X_1)
% 1.62/1.65 => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X_1),B)) ) )
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_505_subsetI,axiom,
% 1.62/1.65 ! [B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X_1),B)) )
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_506_subsetI,axiom,
% 1.62/1.65 ! [B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( is_Arr859726945e_indi(X_1)
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),B)) ) )
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_507_subsetI,axiom,
% 1.62/1.65 ! [B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) )
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_508_subsetI,axiom,
% 1.62/1.65 ! [B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( is_fun20916972t_bool(X_1)
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X_1),B)) ) )
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_509_subsetI,axiom,
% 1.62/1.65 ! [B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X_1),B)) )
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_510_subsetI,axiom,
% 1.62/1.65 ! [B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),B)) )
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_511_subsetI,axiom,
% 1.62/1.65 ! [B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),B)) )
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,A),B)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_512_psubsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_513_psubsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_514_psubsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_515_psubsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_516_psubsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_517_psubsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_518_psubsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_519_psubsetD,axiom,
% 1.62/1.65 ! [Ca,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,Ca),A))
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,Ca),B)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_520_psubset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_521_psubset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_522_psubset__trans,axiom,
% 1.62/1.65 ! [C,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),B))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,B),C))
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,A),C)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_523_in__below,axiom,
% 1.62/1.65 ! [X_2,Y_2,L_3,Aa,Ba] :
% 1.62/1.65 ( ( is_Arr723427730le_alt(X_2)
% 1.62/1.65 & is_Arr723427730le_alt(Y_2)
% 1.62/1.65 & is_Arr723427730le_alt(Aa)
% 1.62/1.65 & is_Arr723427730le_alt(Ba) )
% 1.62/1.65 => ( Aa != Ba
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),arrow_207701375_below(L_3,Aa,Ba)))
% 1.62/1.65 <=> ( X_2 != Y_2
% 1.62/1.65 & ( Y_2 = Aa
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Ba)),L_3)) )
% 1.62/1.65 & ( Y_2 != Aa
% 1.62/1.65 => ( ( X_2 = Aa
% 1.62/1.65 => ( Y_2 = Ba
% 1.62/1.65 | hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,Ba),Y_2)),L_3)) ) )
% 1.62/1.65 & ( X_2 != Aa
% 1.62/1.65 => hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),L_3)) ) ) ) ) ) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_524_add__leE,axiom,
% 1.62/1.65 ! [M_2,K_1,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),K_1)),N_1))
% 1.62/1.65 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1))
% 1.62/1.65 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N_1)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_525_add__leD1,axiom,
% 1.62/1.65 ! [M_2,K_1,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),K_1)),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_526_add__leD2,axiom,
% 1.62/1.65 ! [M_2,K_1,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),K_1)),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_527_less__not__refl,axiom,
% 1.62/1.65 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_528_nat__neq__iff,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( M_4 != Na
% 1.62/1.65 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na))
% 1.62/1.65 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_4)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_529_linorder__neqE__nat,axiom,
% 1.62/1.65 ! [X,Y] :
% 1.62/1.65 ( X != Y
% 1.62/1.65 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_530_less__irrefl__nat,axiom,
% 1.62/1.65 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_531_less__not__refl2,axiom,
% 1.62/1.65 ! [N_1,M_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_2))
% 1.62/1.65 => M_2 != N_1 ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_532_less__not__refl3,axiom,
% 1.62/1.65 ! [S,T] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))
% 1.62/1.65 => S != T ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_533_nat__less__cases,axiom,
% 1.62/1.65 ! [Pa,M_4,Na] :
% 1.62/1.65 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_4)) )
% 1.62/1.65 => ( ( M_4 = Na
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_4)) )
% 1.62/1.65 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_4))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_4)) )
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_4)) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_534_nat__add__commute,axiom,
% 1.62/1.65 ! [M_2,N_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),N_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_2) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_535_nat__add__left__commute,axiom,
% 1.62/1.65 ! [X,Y,Z] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Z)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_536_nat__add__assoc,axiom,
% 1.62/1.65 ! [M_2,N_1,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),N_1)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_537_nat__add__left__cancel,axiom,
% 1.62/1.65 ! [K,M_4,Na] :
% 1.62/1.65 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M_4) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)
% 1.62/1.65 <=> M_4 = Na ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_538_nat__add__right__cancel,axiom,
% 1.62/1.65 ! [M_4,K,Na] :
% 1.62/1.65 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_4),K) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),K)
% 1.62/1.65 <=> M_4 = Na ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_539_le__refl,axiom,
% 1.62/1.65 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_540_nat__le__linear,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1))
% 1.62/1.65 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_2)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_541_eq__imp__le,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( M_2 = N_1
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_542_le__trans,axiom,
% 1.62/1.65 ! [K_1,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_2),K_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),K_1)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_543_le__antisym,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_2))
% 1.62/1.65 => M_2 = N_1 ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_544_below__Lin,axiom,
% 1.62/1.65 ! [L_3,X_2,Y_2] :
% 1.62/1.65 ( ( is_Arr723427730le_alt(X_2)
% 1.62/1.65 & is_Arr723427730le_alt(Y_2) )
% 1.62/1.65 => ( X_2 != Y_2
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_3),arrow_912654623le_Lin))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(L_3,X_2,Y_2)),arrow_912654623le_Lin)) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_545_inj__on__add__nat,axiom,
% 1.62/1.65 ! [K,N_2] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K)),N_2)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_546_not__add__less1,axiom,
% 1.62/1.65 ! [I,J_2] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J_2)),I)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_547_not__add__less2,axiom,
% 1.62/1.65 ! [J_2,I] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),I)),I)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_548_nat__add__left__cancel__less,axiom,
% 1.62/1.65 ! [K,M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M_4)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_549_trans__less__add1,axiom,
% 1.62/1.65 ! [M_2,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),M_2))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_550_trans__less__add2,axiom,
% 1.62/1.65 ! [M_2,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),J_2))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_551_add__less__mono1,axiom,
% 1.62/1.65 ! [K_1,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),K_1))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_552_add__less__mono,axiom,
% 1.62/1.65 ! [K_1,L_2,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),L_2))) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_553_less__add__eq__less,axiom,
% 1.62/1.65 ! [M_2,N_1,K_1,L_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_2))
% 1.62/1.65 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),L_2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N_1)
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_554_add__lessD1,axiom,
% 1.62/1.65 ! [I,J_2,K_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J_2)),K_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_555_nat__less__le,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na))
% 1.62/1.65 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),Na))
% 1.62/1.65 & M_4 != Na ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_556_le__eq__less__or__eq,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),Na))
% 1.62/1.65 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na))
% 1.62/1.65 | M_4 = Na ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_557_less__imp__le__nat,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_558_le__neq__implies__less,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1))
% 1.62/1.65 => ( M_2 != N_1
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_559_less__or__eq__imp__le,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 | M_2 = N_1 )
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_560_le__add2,axiom,
% 1.62/1.65 ! [N_1,M_2] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),N_1))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_561_le__add1,axiom,
% 1.62/1.65 ! [N_1,M_2] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_2))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_562_le__iff__add,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),Na))
% 1.62/1.65 <=> ? [K_2] : Na = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_4),K_2) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_563_nat__add__left__cancel__le,axiom,
% 1.62/1.65 ! [K,M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M_4)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),Na)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_564_trans__le__add1,axiom,
% 1.62/1.65 ! [M_2,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),M_2))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_565_trans__le__add2,axiom,
% 1.62/1.65 ! [M_2,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),J_2))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_566_add__le__mono1,axiom,
% 1.62/1.65 ! [K_1,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),K_1))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_567_add__le__mono,axiom,
% 1.62/1.65 ! [K_1,L_2,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),L_2))) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_568_mono__nat__linear__lb,axiom,
% 1.62/1.65 ! [M_4,K,F] :
% 1.62/1.65 ( ! [M,N] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M)),hAPP_nat_nat(F,N))) )
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M_4)),K)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_4),K)))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_569_less__mono__imp__le__mono,axiom,
% 1.62/1.65 ! [I_1,J_1,F] :
% 1.62/1.65 ( ! [I_2,J] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J))) )
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_570_termination__basic__simps_I3_J,axiom,
% 1.62/1.65 ! [Z,X,Y] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_571_termination__basic__simps_I4_J,axiom,
% 1.62/1.65 ! [Y,X,Z] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Z))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_572_termination__basic__simps_I2_J,axiom,
% 1.62/1.65 ! [Y,X,Z] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_573_termination__basic__simps_I1_J,axiom,
% 1.62/1.65 ! [Z,X,Y] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_574_termination__basic__simps_I5_J,axiom,
% 1.62/1.65 ! [X,Y] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_575_in__rel__def,axiom,
% 1.62/1.65 ! [R_1,X_2,Y_2] :
% 1.62/1.65 ( hBOOL(in_rel1361124802le_alt(R_1,X_2,Y_2))
% 1.62/1.65 <=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X_2),Y_2)),R_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_576_funcsetI,axiom,
% 1.62/1.65 ! [F,B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_1)),B)) )
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,B)))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_577_funcsetI,axiom,
% 1.62/1.65 ! [F,B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( is_Arr859726945e_indi(X_1)
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_1)),B)) ) )
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,B)))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_578_funcsetI,axiom,
% 1.62/1.65 ! [F,B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_1)),B)) )
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,B)))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_579_linear__alt,axiom,
% 1.62/1.65 ? [L_1] :
% 1.62/1.65 ( is_fun20916972t_bool(L_1)
% 1.62/1.65 & hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,L_1),arrow_912654623le_Lin)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_580_Pi__cong,axiom,
% 1.62/1.65 ! [B,G,F,A] :
% 1.62/1.65 ( ! [W] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,W),A))
% 1.62/1.65 => ( hBOOL(hAPP_P1813625415t_bool(F,W))
% 1.62/1.65 <=> hBOOL(hAPP_P1813625415t_bool(G,W)) ) )
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,B)))
% 1.62/1.65 <=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,G),pi_Pro1873779901t_bool(A,B))) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_581_Pi__cong,axiom,
% 1.62/1.65 ! [B,F,G,A] :
% 1.62/1.65 ( ! [W] :
% 1.62/1.65 ( is_Arr859726945e_indi(W)
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,W),A))
% 1.62/1.65 => hAPP_A340536322t_bool(F,W) = hAPP_A340536322t_bool(G,W) ) )
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,B)))
% 1.62/1.65 <=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,G),pi_Arr1801471756t_bool(A,B))) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_582_Pi__cong,axiom,
% 1.62/1.65 ! [B,F,G,A] :
% 1.62/1.65 ( ! [W] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,W),A))
% 1.62/1.65 => hAPP_f1817389232t_bool(F,W) = hAPP_f1817389232t_bool(G,W) )
% 1.62/1.65 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,B)))
% 1.62/1.65 <=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,G),pi_fun1555365306t_bool(A,B))) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_583_Pi__I_H,axiom,
% 1.62/1.65 ! [F,B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(F,X_1)),hAPP_P1122857141l_bool(B,X_1))) )
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,B))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_584_Pi__I_H,axiom,
% 1.62/1.65 ! [F,B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( is_Arr859726945e_indi(X_1)
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(F,X_1)),hAPP_A659996934l_bool(B,X_1))) ) )
% 1.62/1.65 => hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,B))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_585_Pi__I_H,axiom,
% 1.62/1.65 ! [F,B,A] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X_1),A))
% 1.62/1.65 => hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(F,X_1)),hAPP_f1895971544l_bool(B,X_1))) )
% 1.62/1.65 => hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,B))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_586_card__inj,axiom,
% 1.62/1.65 ! [F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,F),pi_nat_nat(A,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(A)),finite_card_nat(B))) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_587_card__inj,axiom,
% 1.62/1.65 ! [F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,F),pi_Arr604548589di_nat(A,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(A)),finite_card_nat(B))) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_588_card__inj,axiom,
% 1.62/1.65 ! [F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f387058535l_bool(finite_finite_bool,B))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(A)),finite_card_bool(B))) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_589_card__inj,axiom,
% 1.62/1.65 ! [F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,B))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(A)),finite945540987t_bool(B))) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_590_card__inj,axiom,
% 1.62/1.65 ! [F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,B))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(A)),finite945540987t_bool(B))) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_591_inj__onI,axiom,
% 1.62/1.65 ! [F,A] :
% 1.62/1.65 ( ! [X_1,Y_1] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Y_1),A))
% 1.62/1.65 => ( hAPP_nat_nat(F,X_1) = hAPP_nat_nat(F,Y_1)
% 1.62/1.65 => X_1 = Y_1 ) ) )
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_592_inj__onI,axiom,
% 1.62/1.65 ! [F,A] :
% 1.62/1.65 ( ! [X_1,Y_1] :
% 1.62/1.65 ( ( is_Arr859726945e_indi(X_1)
% 1.62/1.65 & is_Arr859726945e_indi(Y_1) )
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X_1),A))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,Y_1),A))
% 1.62/1.65 => ( hAPP_A1895296483di_nat(F,X_1) = hAPP_A1895296483di_nat(F,Y_1)
% 1.62/1.65 => X_1 = Y_1 ) ) ) )
% 1.62/1.65 => hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_593_inj__on__cong,axiom,
% 1.62/1.65 ! [F,G,A] :
% 1.62/1.65 ( ! [A_1] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_1),A))
% 1.62/1.65 => hAPP_nat_nat(F,A_1) = hAPP_nat_nat(G,A_1) )
% 1.62/1.65 => ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(F),A))
% 1.62/1.65 <=> hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(G),A)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_594_inj__on__cong,axiom,
% 1.62/1.65 ! [F,G,A] :
% 1.62/1.65 ( ! [A_1] :
% 1.62/1.65 ( is_Arr859726945e_indi(A_1)
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,A_1),A))
% 1.62/1.65 => hAPP_A1895296483di_nat(F,A_1) = hAPP_A1895296483di_nat(G,A_1) ) )
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(F),A))
% 1.62/1.65 <=> hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(G),A)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_595_finite__indi,axiom,
% 1.62/1.65 hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_596_card__bij,axiom,
% 1.62/1.65 ! [G,F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,F),pi_fun596906370e_indi(A,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,G),pi_Arr1801471756t_bool(B,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,A))))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(G),B))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,A))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,B))
% 1.62/1.65 => finite945540987t_bool(A) = finite354462354e_indi(B) ) ) ) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_597_card__bij,axiom,
% 1.62/1.65 ! [G,F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,F),pi_fun328162388t_bool(A,hAPP_f23348649l_bool(cOMBK_761999167t_bool,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,G),pi_fun1555365306t_bool(B,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,A))))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(G),B))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,A))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,B))
% 1.62/1.65 => finite945540987t_bool(A) = finite1524925796t_bool(B) ) ) ) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_598_card__bij,axiom,
% 1.62/1.65 ! [G,F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,F),pi_Pro1873779901t_bool(A,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,G),pi_boo1542163389le_alt(B,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,A))))
% 1.62/1.65 => ( hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(G),B))
% 1.62/1.65 => ( hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,A))
% 1.62/1.65 => ( hBOOL(hAPP_f387058535l_bool(finite_finite_bool,B))
% 1.62/1.65 => finite1044330389le_alt(A) = finite_card_bool(B) ) ) ) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_599_card__bij,axiom,
% 1.62/1.65 ! [G,F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,F),pi_Arr1801471756t_bool(A,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,G),pi_fun596906370e_indi(B,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,A))))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(G),B))
% 1.62/1.65 => ( hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,A))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,B))
% 1.62/1.65 => finite354462354e_indi(A) = finite945540987t_bool(B) ) ) ) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_600_card__bij,axiom,
% 1.62/1.65 ! [G,F,A,B] :
% 1.62/1.65 ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,F),pi_fun1555365306t_bool(A,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,B))))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(F),A))
% 1.62/1.65 => ( hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,G),pi_fun328162388t_bool(B,hAPP_f23348649l_bool(cOMBK_761999167t_bool,A))))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(G),B))
% 1.62/1.65 => ( hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,A))
% 1.62/1.65 => ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,B))
% 1.62/1.65 => finite1524925796t_bool(A) = finite945540987t_bool(B) ) ) ) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_601_finite__Collect__less__nat,axiom,
% 1.62/1.65 ! [K] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),K)))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_602_finite__Collect__le__nat,axiom,
% 1.62/1.65 ! [K] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),K)))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_603_card__UNIV__unit,axiom,
% 1.62/1.65 finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat ).
% 1.62/1.65
% 1.62/1.65 fof(fact_604_card__Collect__less__nat,axiom,
% 1.62/1.65 ! [Na] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),Na))) = Na ).
% 1.62/1.65
% 1.62/1.65 fof(fact_605_infinite__UNIV__nat,axiom,
% 1.62/1.65 ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_606_finite__M__bounded__by__nat,axiom,
% 1.62/1.65 ! [Pa,I_1] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),Pa),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),I_1))))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_607_finite__nat__set__iff__bounded__le,axiom,
% 1.62/1.65 ! [N_2] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))
% 1.62/1.65 <=> ? [M] :
% 1.62/1.65 ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),M)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_608_finite__nat__set__iff__bounded,axiom,
% 1.62/1.65 ! [N_2] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))
% 1.62/1.65 <=> ? [M] :
% 1.62/1.65 ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),M)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_609_finite__less__ub,axiom,
% 1.62/1.65 ! [U,F] :
% 1.62/1.65 ( ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),hAPP_nat_nat(F,N)))
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),F)),U)))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_610_bounded__nat__set__is__finite,axiom,
% 1.62/1.65 ! [Na,N_2] :
% 1.62/1.65 ( ! [X_1] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_2))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Na)) )
% 1.62/1.65 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_611_less__zeroE,axiom,
% 1.62/1.65 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_612_le0,axiom,
% 1.62/1.65 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_613_gr0I,axiom,
% 1.62/1.65 ! [N_1] :
% 1.62/1.65 ( N_1 != zero_zero_nat
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_614_gr__implies__not0,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 => N_1 != zero_zero_nat ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_615_less__nat__zero__code,axiom,
% 1.62/1.65 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_616_neq0__conv,axiom,
% 1.62/1.65 ! [Na] :
% 1.62/1.65 ( Na != zero_zero_nat
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_617_not__less0,axiom,
% 1.62/1.65 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_618_plus__nat_Oadd__0,axiom,
% 1.62/1.65 ! [N_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N_1) = N_1 ).
% 1.62/1.65
% 1.62/1.65 fof(fact_619_Nat_Oadd__0__right,axiom,
% 1.62/1.65 ! [M_2] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),zero_zero_nat) = M_2 ).
% 1.62/1.65
% 1.62/1.65 fof(fact_620_add__is__0,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_4),Na) = zero_zero_nat
% 1.62/1.65 <=> ( M_4 = zero_zero_nat
% 1.62/1.65 & Na = zero_zero_nat ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_621_add__eq__self__zero,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),N_1) = M_2
% 1.62/1.65 => N_1 = zero_zero_nat ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_622_le__0__eq,axiom,
% 1.62/1.65 ! [Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),zero_zero_nat))
% 1.62/1.65 <=> Na = zero_zero_nat ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_623_less__eq__nat_Osimps_I1_J,axiom,
% 1.62/1.65 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_624_add__gr__0,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_4),Na)))
% 1.62/1.65 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_4))
% 1.62/1.65 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_625_ex__least__nat__less,axiom,
% 1.62/1.65 ! [Na,Pa] :
% 1.62/1.65 ( ~ hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(Pa,Na))
% 1.62/1.65 => ? [K_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),Na))
% 1.62/1.65 & ! [I_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),K_2))
% 1.62/1.65 => ~ hBOOL(hAPP_nat_bool(Pa,I_2)) )
% 1.62/1.65 & hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),one_one_nat))) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_626_ex__least__nat__le,axiom,
% 1.62/1.65 ! [Na,Pa] :
% 1.62/1.65 ( ~ hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(Pa,Na))
% 1.62/1.65 => ? [K_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),Na))
% 1.62/1.65 & ! [I_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K_2))
% 1.62/1.65 => ~ hBOOL(hAPP_nat_bool(Pa,I_2)) )
% 1.62/1.65 & hBOOL(hAPP_nat_bool(Pa,K_2)) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_627_less__imp__add__positive,axiom,
% 1.62/1.65 ! [I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 1.62/1.65 => ? [K_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))
% 1.62/1.65 & hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_2) = J_2 ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_628_lessI,axiom,
% 1.62/1.65 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,N_1))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_629_Suc__mono,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_2)),hAPP_nat_nat(suc,N_1))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_630_zero__less__Suc,axiom,
% 1.62/1.65 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N_1))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_631_Suc__n__not__le__n,axiom,
% 1.62/1.65 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N_1)),N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_632_not__less__eq__eq,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),Na))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M_4)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_633_le__Suc__eq,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),hAPP_nat_nat(suc,Na)))
% 1.62/1.65 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),Na))
% 1.62/1.65 | M_4 = hAPP_nat_nat(suc,Na) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_634_Suc__le__mono,axiom,
% 1.62/1.65 ! [Na,M_4] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M_4)))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),M_4)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_635_le__SucI,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),hAPP_nat_nat(suc,N_1))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_636_le__SucE,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),hAPP_nat_nat(suc,N_1)))
% 1.62/1.65 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1))
% 1.62/1.65 => M_2 = hAPP_nat_nat(suc,N_1) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_637_Suc__leD,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_2)),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_638_Suc__inject,axiom,
% 1.62/1.65 ! [X,Y] :
% 1.62/1.65 ( hAPP_nat_nat(suc,X) = hAPP_nat_nat(suc,Y)
% 1.62/1.65 => X = Y ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_639_nat_Oinject,axiom,
% 1.62/1.65 ! [Nat_4,Nat_3] :
% 1.62/1.65 ( hAPP_nat_nat(suc,Nat_4) = hAPP_nat_nat(suc,Nat_3)
% 1.62/1.65 <=> Nat_4 = Nat_3 ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_640_Suc__n__not__n,axiom,
% 1.62/1.65 ! [N_1] : hAPP_nat_nat(suc,N_1) != N_1 ).
% 1.62/1.65
% 1.62/1.65 fof(fact_641_n__not__Suc__n,axiom,
% 1.62/1.65 ! [N_1] : N_1 != hAPP_nat_nat(suc,N_1) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_642_add__Suc__shift,axiom,
% 1.62/1.65 ! [M_2,N_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_2)),N_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),hAPP_nat_nat(suc,N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_643_add__Suc,axiom,
% 1.62/1.65 ! [M_2,N_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_2)),N_1) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_644_add__Suc__right,axiom,
% 1.62/1.65 ! [M_2,N_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),hAPP_nat_nat(suc,N_1)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),N_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_645_not__less__eq,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_4))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_646_less__Suc__eq,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),hAPP_nat_nat(suc,Na)))
% 1.62/1.65 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na))
% 1.62/1.65 | M_4 = Na ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_647_Suc__less__eq,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_4)),hAPP_nat_nat(suc,Na)))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_648_not__less__less__Suc__eq,axiom,
% 1.62/1.65 ! [Na,M_4] :
% 1.62/1.65 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_4))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_4)))
% 1.62/1.65 <=> Na = M_4 ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_649_less__antisym,axiom,
% 1.62/1.65 ! [N_1,M_2] :
% 1.62/1.65 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_2))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_2)))
% 1.62/1.65 => M_2 = N_1 ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_650_less__SucI,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),hAPP_nat_nat(suc,N_1))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_651_Suc__lessI,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 => ( hAPP_nat_nat(suc,M_2) != N_1
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_2)),N_1)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_652_less__trans__Suc,axiom,
% 1.62/1.65 ! [K_1,I,J_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K_1)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_653_less__SucE,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),hAPP_nat_nat(suc,N_1)))
% 1.62/1.65 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 => M_2 = N_1 ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_654_Suc__lessD,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_2)),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_655_Suc__less__SucD,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_2)),hAPP_nat_nat(suc,N_1)))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_656_One__nat__def,axiom,
% 1.62/1.65 one_one_nat = hAPP_nat_nat(suc,zero_zero_nat) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_657_Suc__le__lessD,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_2)),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_658_le__less__Suc__eq,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),Na))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_4)))
% 1.62/1.65 <=> Na = M_4 ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_659_Suc__leI,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_2)),N_1)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_660_le__imp__less__Suc,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_1))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),hAPP_nat_nat(suc,N_1))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_661_Suc__le__eq,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_4)),Na))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_662_less__Suc__eq__le,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),hAPP_nat_nat(suc,Na)))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_4),Na)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_663_less__eq__Suc__le,axiom,
% 1.62/1.65 ! [Na,M_4] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_4))
% 1.62/1.65 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M_4)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_664_less__iff__Suc__add,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),Na))
% 1.62/1.65 <=> ? [K_2] : Na = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_4),K_2)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_665_less__add__Suc2,axiom,
% 1.62/1.65 ! [I,M_2] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),I)))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_666_less__add__Suc1,axiom,
% 1.62/1.65 ! [I,M_2] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M_2)))) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_667_one__is__add,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_4),Na)
% 1.62/1.65 <=> ( ( M_4 = hAPP_nat_nat(suc,zero_zero_nat)
% 1.62/1.65 & Na = zero_zero_nat )
% 1.62/1.65 | ( M_4 = zero_zero_nat
% 1.62/1.65 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_668_add__is__1,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_4),Na) = hAPP_nat_nat(suc,zero_zero_nat)
% 1.62/1.65 <=> ( ( M_4 = hAPP_nat_nat(suc,zero_zero_nat)
% 1.62/1.65 & Na = zero_zero_nat )
% 1.62/1.65 | ( M_4 = zero_zero_nat
% 1.62/1.65 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_669_gr0__conv__Suc,axiom,
% 1.62/1.65 ! [Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))
% 1.62/1.65 <=> ? [M] : Na = hAPP_nat_nat(suc,M) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_670_less__Suc0,axiom,
% 1.62/1.65 ! [Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))
% 1.62/1.65 <=> Na = zero_zero_nat ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_671_less__Suc__eq__0__disj,axiom,
% 1.62/1.65 ! [M_4,Na] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_4),hAPP_nat_nat(suc,Na)))
% 1.62/1.65 <=> ( M_4 = zero_zero_nat
% 1.62/1.65 | ? [J] :
% 1.62/1.65 ( M_4 = hAPP_nat_nat(suc,J)
% 1.62/1.65 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),Na)) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_672_inj__Suc,axiom,
% 1.62/1.65 ! [N_2] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),N_2)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_673_Suc__neq__Zero,axiom,
% 1.62/1.65 ! [M_2] : hAPP_nat_nat(suc,M_2) != zero_zero_nat ).
% 1.62/1.65
% 1.62/1.65 fof(fact_674_Zero__neq__Suc,axiom,
% 1.62/1.65 ! [M_2] : zero_zero_nat != hAPP_nat_nat(suc,M_2) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_675_nat_Osimps_I3_J,axiom,
% 1.62/1.65 ! [Nat_2] : hAPP_nat_nat(suc,Nat_2) != zero_zero_nat ).
% 1.62/1.65
% 1.62/1.65 fof(fact_676_Suc__not__Zero,axiom,
% 1.62/1.65 ! [M_2] : hAPP_nat_nat(suc,M_2) != zero_zero_nat ).
% 1.62/1.65
% 1.62/1.65 fof(fact_677_nat_Osimps_I2_J,axiom,
% 1.62/1.65 ! [Nat_1] : zero_zero_nat != hAPP_nat_nat(suc,Nat_1) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_678_Zero__not__Suc,axiom,
% 1.62/1.65 ! [M_2] : zero_zero_nat != hAPP_nat_nat(suc,M_2) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_679_less__eq__Suc__le__raw,axiom,
% 1.62/1.65 ! [X_1] : hAPP_n1699378549t_bool(ord_less_nat,X_1) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X_1)) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_680_card__Collect__le__nat,axiom,
% 1.62/1.65 ! [Na] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),Na))) = hAPP_nat_nat(suc,Na) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_681_card__less__Suc,axiom,
% 1.62/1.65 ! [I_1,M_3] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))
% 1.62/1.65 => hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),M_3)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),I_1))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),M_3)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1))))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_682_card__less,axiom,
% 1.62/1.65 ! [I_1,M_3] :
% 1.62/1.65 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))
% 1.62/1.65 => finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),M_3)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1))))) != zero_zero_nat ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_683_card__less__Suc2,axiom,
% 1.62/1.65 ! [I_1,M_3] :
% 1.62/1.65 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))
% 1.62/1.65 => finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),M_3)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),I_1)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),M_3)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1))))) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_684_inc__induct,axiom,
% 1.62/1.65 ! [Pa,I_1,J_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(Pa,J_1))
% 1.62/1.65 => ( ! [I_2] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 1.62/1.65 => ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,I_2)))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(Pa,I_2)) ) )
% 1.62/1.65 => hBOOL(hAPP_nat_bool(Pa,I_1)) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_685_less__imp__Suc__add,axiom,
% 1.62/1.65 ! [M_2,N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 1.62/1.65 => ? [K_2] : N_1 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_2),K_2)) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_686_gr0__implies__Suc,axiom,
% 1.62/1.65 ! [N_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))
% 1.62/1.65 => ? [M] : N_1 = hAPP_nat_nat(suc,M) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_687_Suc__eq__plus1__left,axiom,
% 1.62/1.65 ! [N_1] : hAPP_nat_nat(suc,N_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N_1) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_688_Suc__eq__plus1,axiom,
% 1.62/1.65 ! [N_1] : hAPP_nat_nat(suc,N_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_689_Suc__le__D,axiom,
% 1.62/1.65 ! [N_1,M_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N_1)),M_1))
% 1.62/1.65 => ? [M] : M_1 = hAPP_nat_nat(suc,M) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_690_lessE,axiom,
% 1.62/1.65 ! [I,K_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_1))
% 1.62/1.65 => ( K_1 != hAPP_nat_nat(suc,I)
% 1.62/1.65 => ~ ! [J] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))
% 1.62/1.65 => K_1 != hAPP_nat_nat(suc,J) ) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_691_Suc__lessE,axiom,
% 1.62/1.65 ! [I,K_1] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K_1))
% 1.62/1.65 => ~ ! [J] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))
% 1.62/1.65 => K_1 != hAPP_nat_nat(suc,J) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_692_not0__implies__Suc,axiom,
% 1.62/1.65 ! [N_1] :
% 1.62/1.65 ( N_1 != zero_zero_nat
% 1.62/1.65 => ? [M] : N_1 = hAPP_nat_nat(suc,M) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_693_nat_Oexhaust,axiom,
% 1.62/1.65 ! [Y] :
% 1.62/1.65 ( Y != zero_zero_nat
% 1.62/1.65 => ~ ! [Nat] : Y != hAPP_nat_nat(suc,Nat) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_694_zero__induct,axiom,
% 1.62/1.65 ! [Pa,K] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(Pa,K))
% 1.62/1.65 => ( ! [N] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N)))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(Pa,N)) )
% 1.62/1.65 => hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_695_nat__induct,axiom,
% 1.62/1.65 ! [Na,Pa] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))
% 1.62/1.65 => ( ! [N] :
% 1.62/1.65 ( hBOOL(hAPP_nat_bool(Pa,N))
% 1.62/1.65 => hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N))) )
% 1.62/1.65 => hBOOL(hAPP_nat_bool(Pa,Na)) ) ) ).
% 1.62/1.65
% 1.62/1.65 fof(fact_696_surjh,axiom,
% 1.62/1.66 image_837079859di_nat(h,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) ).
% 1.62/1.66
% 1.62/1.66 fof(fact_697_finite__atLeastLessThan,axiom,
% 1.62/1.66 ! [L,U] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(L),U))) ).
% 1.62/1.66
% 1.62/1.66 fof(fact_698__096_B_Bthesis_O_A_I_B_Bh_O_A_091_124_Ainj_Ah_059_Arange_Ah_A_061_A_123,axiom,
% 1.62/1.66 ~ ! [H] :
% 1.62/1.66 ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(H),top_to207207712i_bool))
% 1.62/1.66 => image_837079859di_nat(H,top_to207207712i_bool) != hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) ) ).
% 1.62/1.66
% 1.62/1.66 fof(fact_699_subset__card__intvl__is__intvl,axiom,
% 1.62/1.66 ! [A,K] :
% 1.62/1.66 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_n1699378549t_bool(ord_at4362885an_nat(K),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),finite_card_nat(A)))))
% 1.62/1.66 => A = hAPP_n1699378549t_bool(ord_at4362885an_nat(K),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),finite_card_nat(A))) ) ).
% 1.62/1.66
% 1.62/1.66 %----Helper facts (57)
% 1.62/1.66 fof(help_fTrue_1_1_U,axiom,
% 1.62/1.66 hBOOL(fTrue) ).
% 1.62/1.66
% 1.62/1.66 fof(help_fTrue_1_1_T,axiom,
% 1.62/1.66 ! [P] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => ( P = fTrue
% 1.62/1.66 | P = fFalse ) ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_fconj_1_1_U,axiom,
% 1.62/1.66 ! [Q,P] :
% 1.62/1.66 ( ~ hBOOL(P)
% 1.62/1.66 | ~ hBOOL(Q)
% 1.62/1.66 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_fconj_2_1_U,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 1.62/1.66 | hBOOL(P) ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_fconj_3_1_U,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 1.62/1.66 | hBOOL(Q) ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBI_1_1_COMBI_000tc__Nat__Onat_U,axiom,
% 1.62/1.66 ! [P] : hAPP_nat_nat(cOMBI_nat,P) = P ).
% 1.62/1.66
% 1.62/1.66 fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom,
% 1.62/1.66 ! [X,Y] :
% 1.62/1.66 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y))
% 1.62/1.66 | X = Y ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom,
% 1.62/1.66 ! [X,Y] :
% 1.62/1.66 ( X != Y
% 1.62/1.66 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Product____Type__Ounit_U,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__Nat__Onat_U,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,P),Q),R) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,P),Q),R) = hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona,axiom,
% 1.62/1.66 ! [P,Q] : hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,P),Q) = P ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(P),Q),R) = hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,P),Q),R) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(P),Q),R) = hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,P),Q),R) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,P),Q),R) = hAPP_nat_bool(hAPP_A1948275303t_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Arrow___,axiom,
% 1.62/1.66 ! [P,Q] : hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,P),Q) = P ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HO,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(P),Q),R) = hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Product____Type__Ounit_000tc__fun_Itc__Product____Ty,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,P),Q),R) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__043,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(P),Q),R) = hAPP_n1699378549t_bool(P,hAPP_A1895296483di_nat(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm,axiom,
% 1.62/1.66 ! [X,Y] :
% 1.62/1.66 ( is_fun20916972t_bool(X)
% 1.62/1.66 => hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X),Y) = X ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm,axiom,
% 1.62/1.66 ! [X,Y] :
% 1.62/1.66 ( is_fun20916972t_bool(Y)
% 1.62/1.66 => hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X),Y) = Y ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm,axiom,
% 1.62/1.66 ! [P] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => ( P = fTrue
% 1.62/1.66 | P = fFalse ) ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_044,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,P),Q),R) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It,axiom,
% 1.62/1.66 ! [P,Q] : hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,P),Q) = P ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_fun20916972t_bool(P)
% 1.62/1.66 => hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_045,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_fun20916972t_bool(P)
% 1.62/1.66 => hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,P),Q),R) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_fun2015243113i_bool(P)
% 1.62/1.66 => hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_fun1420103068l_bool(P)
% 1.62/1.66 => hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_046,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,P),Q),R) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t_047,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,P),Q),R) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,P),Q),R) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_048,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,P),Q),R) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,P),Q),R) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(P),Q),R) = hAPP_P1151433609l_bool(P,hAPP_A1561816353le_alt(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_049,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,P),Q),R) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A340536322t_bool(cOMBS_178315313t_bool(P,Q),R) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(P,R),hAPP_A340536322t_bool(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_bool(P)
% 1.62/1.66 => hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_fun701126715l_bool(P)
% 1.62/1.66 => hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_050,axiom,
% 1.62/1.66 ! [P,Q] :
% 1.62/1.66 ( is_fun1420103068l_bool(P)
% 1.62/1.66 => hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,P),Q) = P ) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(P),Q),R) = hAPP_f102394819t_bool(P,hAPP_A340536322t_bool(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,P),Q),R) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(P),Q),R) = hAPP_f1656652505l_bool(P,hAPP_A1171966089le_alt(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_051,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(P),Q),R) = hAPP_f684072049t_bool(P,hAPP_A340536322t_bool(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_052,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,P),Q),R) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_053,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A1906804694t_bool(cOMBS_995062533t_bool(P,Q),R) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(P,R),hAPP_A340536322t_bool(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___054,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(P),Q),R) = hAPP_f372913425t_bool(P,hAPP_A643475905l_bool(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(P),Q),R) = hAPP_b910261233t_bool(P,hAPP_A416869060i_bool(Q,R)) ).
% 1.62/1.66
% 1.62/1.66 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl,axiom,
% 1.62/1.66 ! [P,Q,R] : hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,P),Q),R) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(P,R),Q) ).
% 1.62/1.66
% 1.62/1.66 %----Conjectures (1)
% 1.62/1.66 fof(conj_0,conjecture,
% 1.62/1.66 hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ).
% 1.62/1.66
% 1.62/1.66 %------------------------------------------------------------------------------
% 1.62/1.66 %-------------------------------------------
% 1.62/1.66 % Proof found
% 1.62/1.66 % SZS status Theorem for theBenchmark
% 1.62/1.66 % SZS output start Proof
% 1.62/1.66 %ClaNum:2075(EqnAxiom:788)
% 1.62/1.66 %VarNum:5381(SingletonVarNum:1981)
% 1.62/1.66 %MaxLitNum:14
% 1.62/1.66 %MaxfuncDepth:11
% 1.62/1.66 %SharedTerms:438
% 1.62/1.66 %goalClause: 1053
% 1.62/1.66 %singleGoalClaCount:1
% 1.62/1.66 [790]P1(a3)
% 1.62/1.66 [791]P1(a4)
% 1.62/1.66 [792]P1(a525)
% 1.62/1.66 [793]P2(a14)
% 1.62/1.66 [794]P2(a180)
% 1.62/1.66 [795]P2(a528)
% 1.62/1.66 [796]P11(a10)
% 1.62/1.66 [797]P11(a530)
% 1.62/1.66 [798]P8(a526)
% 1.62/1.66 [799]P8(a185)
% 1.62/1.66 [800]P8(a425)
% 1.62/1.66 [801]P8(a15)
% 1.62/1.66 [802]P8(a82)
% 1.62/1.66 [803]P8(a83)
% 1.62/1.66 [804]P3(a5)
% 1.62/1.66 [805]P3(a16)
% 1.62/1.66 [806]P3(a17)
% 1.62/1.66 [807]P3(a19)
% 1.62/1.66 [808]P3(a73)
% 1.62/1.66 [809]P5(a531)
% 1.62/1.66 [810]P5(a132)
% 1.62/1.66 [811]P5(a173)
% 1.62/1.66 [812]P9(a529)
% 1.62/1.66 [813]P10(a1)
% 1.62/1.66 [814]P4(a173)
% 1.62/1.66 [1020]~E(a16,a5)
% 1.62/1.66 [1021]~E(a19,a17)
% 1.62/1.66 [789]E(f2(a1),a179)
% 1.62/1.66 [815]P3(f532(a6))
% 1.62/1.66 [816]P5(f535(a18))
% 1.62/1.66 [817]P6(f533(a7))
% 1.62/1.66 [818]E(f186(a20,a173),a534)
% 1.62/1.66 [819]E(f237(a465,a537),a179)
% 1.62/1.66 [827]P4(f248(a181,a529))
% 1.62/1.66 [828]P4(f301(a3,a133))
% 1.62/1.66 [829]P4(f301(a4,a133))
% 1.62/1.66 [1030]~P4(f354(a191,a534))
% 1.62/1.66 [821]E(f64(f238(a49,a173)),a529)
% 1.62/1.66 [822]E(f71(f239(a50,a173)),a1)
% 1.62/1.66 [823]E(f65(f240(a51,a173)),a530)
% 1.62/1.66 [824]E(f66(f243(a52,a173)),a525)
% 1.62/1.66 [825]E(f72(f246(a60,a173)),a528)
% 1.62/1.66 [826]E(f67(f247(a53,a173)),a526)
% 1.62/1.66 [889]E(f407(f466(a537),f182(a529)),f412(a188,a529))
% 1.62/1.66 [890]E(f407(f466(a537),f182(a529)),f412(a134,a529))
% 1.62/1.66 [891]E(f467(a529,f305(a58,a14)),a10)
% 1.62/1.66 [892]P4(f248(f416(a188),a529))
% 1.62/1.66 [893]P4(f248(f416(a134),a529))
% 1.62/1.66 [907]P4(f293(f373(a426,a489),a10))
% 1.62/1.66 [908]P4(f361(f281(a433,a185),a14))
% 1.62/1.66 [909]P4(f361(f281(a433,a425),a14))
% 1.62/1.66 [910]P4(f361(f281(a433,a15),a14))
% 1.62/1.66 [911]P4(f361(f281(a433,a82),a14))
% 1.62/1.66 [912]P4(f361(f281(a433,a83),a14))
% 1.62/1.66 [953]P4(f353(f407(a488,a464),f182(a529)))
% 1.62/1.66 [954]P4(f353(f407(a488,a84),f182(a529)))
% 1.62/1.66 [955]P4(f353(f407(a488,a92),f182(a529)))
% 1.62/1.66 [1053]~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f312(a133,a489)))
% 1.62/1.66 [990]P8(f536(f193(f523(a6,a6),a18)))
% 1.62/1.66 [996]P4(f347(f401(a436,a133),f491(a10,f372(a59,a14))))
% 1.62/1.66 [1004]P4(f302(f208(a440,f195(f197(a524,a5),a16)),a185))
% 1.62/1.66 [1005]P4(f302(f208(a440,f195(f197(a524,a5),a16)),a15))
% 1.62/1.66 [1006]P4(f302(f208(a440,f195(f197(a524,a16),a5)),a425))
% 1.62/1.66 [1007]P4(f302(f208(a440,f195(f197(a524,a16),a5)),a82))
% 1.62/1.66 [1011]P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,f409(f413(a529,a188),a464))))
% 1.62/1.66 [1049]~P4(f302(f208(a440,f195(f197(a524,a5),a16)),a425))
% 1.62/1.66 [1050]~P4(f302(f208(a440,f195(f197(a524,a16),a5)),a185))
% 1.62/1.66 [1016]P4(f293(f373(a426,f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),a464)),f215(f397(a44,f336(f28(a11),a489)),a73)),f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a175),a188)),a464)),f215(f397(a44,f218(f271(a38,f263(f30(a8),a489)),a17)),a73)),f215(f397(a44,f336(f28(a12),a489)),a73)))),a10))
% 1.62/1.66 [1017]P4(f302(f208(a440,f195(f197(a524,a17),a19)),f312(a133,f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),a464)),f215(f397(a44,f336(f28(a11),a489)),a73)),f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a175),a188)),a464)),f215(f397(a44,f218(f271(a38,f263(f30(a8),a489)),a17)),a73)),f215(f397(a44,f336(f28(a12),a489)),a73))))))
% 1.62/1.66 [1018]P4(f302(f208(a440,f195(f197(a524,a17),a73)),f312(a133,f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),a464)),f215(f397(a44,f336(f28(a11),a489)),a73)),f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a175),a188)),a464)),f215(f397(a44,f218(f271(a38,f263(f30(a8),a489)),a17)),a73)),f215(f397(a44,f336(f28(a12),a489)),a73))))))
% 1.62/1.66 [1019]P4(f302(f208(a440,f195(f197(a524,a73),a19)),f312(a133,f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),a464)),f215(f397(a44,f336(f28(a11),a489)),a73)),f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a175),a188)),a464)),f215(f397(a44,f218(f271(a38,f263(f30(a8),a489)),a17)),a73)),f215(f397(a44,f336(f28(a12),a489)),a73))))))
% 1.62/1.66 [1013]P4(f302(f208(a440,f195(f197(a524,a5),a16)),f312(a133,f364(f329(a36,f322(f278(a39,f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),f237(f411(a512,a464),a179)))),a185)),a425))))
% 1.62/1.66 [1014]P4(f302(f208(a440,f195(f197(a524,a5),a16)),f312(a133,f364(f329(a36,f322(f278(a39,f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),f237(f411(a512,a84),a179)))),a185)),a425))))
% 1.62/1.66 [1015]P4(f302(f208(a440,f195(f197(a524,a5),a16)),f312(a133,f364(f329(a36,f322(f278(a39,f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),f237(f411(a512,a92),a179)))),a185)),a425))))
% 1.62/1.66 [820]E(f237(a21,x8201),x8201)
% 1.62/1.66 [830]P4(f187(a529,x8301))
% 1.62/1.66 [831]P4(f353(a534,x8311))
% 1.62/1.66 [832]P4(f206(a1,x8321))
% 1.62/1.66 [833]P4(f249(a530,x8331))
% 1.62/1.66 [834]P4(f301(a525,x8341))
% 1.62/1.66 [835]P4(f302(a528,x8351))
% 1.62/1.66 [836]P4(f226(a526,x8361))
% 1.62/1.66 [1027]~E(f237(a465,x10271),a537)
% 1.62/1.66 [1029]~E(f237(a465,x10291),x10291)
% 1.62/1.66 [894]E(f467(x8941,f305(a58,a528)),a530)
% 1.62/1.66 [895]E(f491(x8951,f372(a59,a528)),a525)
% 1.62/1.66 [896]E(f492(x8961,f379(a54,a527)),a528)
% 1.62/1.66 [897]E(f237(f411(a512,a537),x8971),x8971)
% 1.62/1.66 [898]E(f237(f411(a512,x8981),a537),x8981)
% 1.62/1.66 [899]P4(f354(f418(a21),x8991))
% 1.62/1.66 [900]P4(f354(f418(a465),x9001))
% 1.62/1.66 [904]E(f237(f411(a512,a179),x9041),f237(a465,x9041))
% 1.62/1.66 [905]E(f407(a468,f237(a465,x9051)),f407(a488,x9051))
% 1.62/1.66 [906]E(f237(f411(a512,x9061),a179),f237(a465,x9061))
% 1.62/1.66 [914]P4(f353(f407(a468,a537),x9141))
% 1.62/1.66 [916]P4(f255(f244(a469,x9161),a531))
% 1.62/1.66 [918]P4(f248(f210(a434,x9181),a529))
% 1.62/1.66 [920]P4(f248(f362(a470,x9201),a529))
% 1.62/1.66 [922]P4(f341(f241(a438,x9221),a527))
% 1.62/1.66 [924]P4(f354(f408(a460,x9241),a534))
% 1.62/1.66 [926]P4(f354(f260(a471,x9261),a534))
% 1.62/1.66 [928]P4(f335(f232(a439,x9281),a1))
% 1.62/1.66 [930]P4(f335(f345(a476,x9301),a1))
% 1.62/1.66 [932]P4(f293(f373(a426,x9321),a530))
% 1.62/1.66 [934]P4(f293(f296(a472,x9341),a530))
% 1.62/1.66 [936]P4(f347(f401(a436,x9361),a525))
% 1.62/1.66 [938]P4(f347(f269(a478,x9381),a525))
% 1.62/1.66 [940]P4(f361(f281(a433,x9401),a528))
% 1.62/1.66 [942]P4(f361(f306(a473,x9421),a528))
% 1.62/1.66 [944]P4(f302(f283(a483,x9441),a526))
% 1.62/1.66 [946]P4(f302(f208(a440,x9461),a526))
% 1.62/1.66 [948]P4(f255(f244(a469,x9481),x9481))
% 1.62/1.66 [950]P4(f353(f407(a468,x9501),x9501))
% 1.62/1.66 [952]P4(f354(f260(a471,x9521),x9521))
% 1.62/1.66 [971]P4(f353(f407(a488,a537),f237(a465,x9711)))
% 1.62/1.66 [972]P4(f353(f407(a488,x9721),f237(a465,x9721)))
% 1.62/1.66 [1031]~P4(f255(f244(a486,a531),x10311))
% 1.62/1.66 [1032]~P4(f248(f362(a477,a529),x10321))
% 1.62/1.66 [1033]~P4(f354(f260(a484,a534),x10331))
% 1.62/1.66 [1034]~P4(f335(f345(a479,a1),x10341))
% 1.62/1.66 [1035]~P4(f293(f296(a480,a530),x10351))
% 1.62/1.66 [1036]~P4(f347(f269(a474,a525),x10361))
% 1.62/1.66 [1037]~P4(f361(f306(a475,a528),x10371))
% 1.62/1.66 [1038]~P4(f302(f283(a482,a526),x10381))
% 1.62/1.66 [1041]~P4(f353(f407(a488,x10411),a537))
% 1.62/1.66 [1044]~P4(f353(f407(a488,x10441),x10441))
% 1.62/1.66 [1045]~P4(f248(f362(a477,x10451),x10451))
% 1.62/1.66 [1046]~P4(f354(f260(a484,x10461),x10461))
% 1.62/1.66 [1047]~P4(f335(f345(a479,x10471),x10471))
% 1.62/1.66 [915]E(f189(f407(f343(a22,a488),x9151)),x9151)
% 1.62/1.66 [956]E(f189(f407(f343(a22,a468),x9561)),f237(a465,x9561))
% 1.62/1.66 [993]P4(f354(a191,f407(f343(a22,a488),x9931)))
% 1.62/1.66 [994]P4(f354(a191,f407(f343(a22,a468),x9941)))
% 1.62/1.66 [997]P4(f353(f407(a488,x9971),f237(f411(a512,x9971),a179)))
% 1.62/1.66 [1048]~P4(f353(f407(a468,f237(a465,x10481)),x10481))
% 1.62/1.66 [1012]P4(f293(f373(a426,f364(f329(a36,f322(f278(a39,f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),x10121))),a185)),a425)),a10))
% 1.62/1.66 [837]P1(f207(x8371,x8372))
% 1.62/1.66 [838]P2(f227(x8381,x8382))
% 1.62/1.66 [839]P2(f311(x8391,x8392))
% 1.62/1.66 [840]P2(f208(x8401,x8402))
% 1.62/1.66 [841]P11(f229(x8411,x8412))
% 1.62/1.66 [842]P8(f230(x8421,x8422))
% 1.62/1.66 [843]P8(f312(x8431,x8432))
% 1.62/1.66 [844]P5(f353(x8441,x8442))
% 1.62/1.66 [845]P5(f320(x8451,x8452))
% 1.62/1.66 [846]P5(f341(x8461,x8462))
% 1.62/1.66 [847]P5(f354(x8471,x8472))
% 1.62/1.66 [848]P5(f357(x8481,x8482))
% 1.62/1.66 [849]P5(f321(x8491,x8492))
% 1.62/1.66 [850]P5(f323(x8501,x8502))
% 1.62/1.66 [851]P5(f250(x8511,x8512))
% 1.62/1.66 [852]P5(f368(x8521,x8522))
% 1.62/1.66 [853]P5(f369(x8531,x8532))
% 1.62/1.66 [854]P5(f378(x8541,x8542))
% 1.62/1.66 [855]P5(f383(x8551,x8552))
% 1.62/1.66 [856]P5(f333(x8561,x8562))
% 1.62/1.66 [857]P5(f286(x8571,x8572))
% 1.62/1.66 [858]P5(f303(x8581,x8582))
% 1.62/1.66 [859]P5(f287(x8591,x8592))
% 1.62/1.66 [860]P5(f355(x8601,x8602))
% 1.62/1.66 [861]P5(f342(x8611,x8612))
% 1.62/1.66 [862]P5(f384(x8621,x8622))
% 1.62/1.66 [863]P5(f291(x8631,x8632))
% 1.62/1.66 [864]P5(f324(x8641,x8642))
% 1.62/1.66 [865]P5(f251(x8651,x8652))
% 1.62/1.66 [866]P5(f400(x8661,x8662))
% 1.62/1.66 [867]P5(f268(x8671,x8672))
% 1.62/1.66 [868]P5(f252(x8681,x8682))
% 1.62/1.66 [869]P5(f385(x8691,x8692))
% 1.62/1.66 [870]P5(f386(x8701,x8702))
% 1.62/1.66 [871]P5(f402(x8711,x8712))
% 1.62/1.66 [872]P5(f253(x8721,x8722))
% 1.62/1.66 [873]P5(f358(x8731,x8732))
% 1.62/1.66 [874]P5(f288(x8741,x8742))
% 1.62/1.66 [875]P5(f280(x8751,x8752))
% 1.62/1.66 [876]P5(f388(x8761,x8762))
% 1.62/1.66 [877]P5(f359(x8771,x8772))
% 1.62/1.66 [878]P9(f404(x8781,x8782))
% 1.62/1.66 [879]P9(f292(x8791,x8792))
% 1.62/1.66 [880]P9(f389(x8801,x8802))
% 1.62/1.66 [881]P9(f234(x8811,x8812))
% 1.62/1.66 [882]P6(f348(x8821,x8822))
% 1.62/1.66 [883]P6(f334(x8831,x8832))
% 1.62/1.66 [884]P6(f225(x8841,x8842))
% 1.62/1.66 [885]P10(f406(x8851,x8852))
% 1.62/1.66 [886]P10(f254(x8861,x8862))
% 1.62/1.66 [887]P10(f315(x8871,x8872))
% 1.62/1.66 [888]P10(f235(x8881,x8882))
% 1.62/1.66 [901]E(f407(f299(a61,x9011),x9012),x9011)
% 1.62/1.66 [902]E(f209(f379(a54,x9021),x9022),x9021)
% 1.62/1.66 [903]E(f194(f289(a55,x9031),x9032),x9031)
% 1.62/1.66 [947]E(f237(f411(a512,x9471),x9472),f237(f411(a512,x9472),x9471))
% 1.62/1.66 [967]P4(f354(a191,f407(f466(x9671),x9672)))
% 1.62/1.66 [991]E(f237(f411(a512,f237(a465,x9911)),x9912),f237(f411(a512,x9911),f237(a465,x9912)))
% 1.62/1.66 [992]E(f237(f411(a512,x9921),f237(a465,x9922)),f237(a465,f237(f411(a512,x9921),x9922)))
% 1.62/1.66 [995]E(f237(f411(a512,f237(a465,x9951)),x9952),f237(a465,f237(f411(a512,x9951),x9952)))
% 1.62/1.66 [999]P4(f353(f407(a468,x9991),f237(f411(a512,x9992),x9991)))
% 1.62/1.66 [1000]P4(f353(f407(a468,x10001),f237(f411(a512,x10001),x10002)))
% 1.62/1.66 [1003]P4(f354(f418(f411(f351(a48,a512),x10031)),x10032))
% 1.62/1.66 [1008]P4(f353(f407(a488,x10081),f237(a465,f237(f411(a512,x10082),x10081))))
% 1.62/1.66 [1009]P4(f353(f407(a488,x10091),f237(a465,f237(f411(a512,x10091),x10092))))
% 1.62/1.66 [1010]P4(f354(a191,f69(f270(f25(a174),x10101),f407(f343(a22,a488),x10102))))
% 1.62/1.66 [1051]~P4(f353(f407(a488,f237(f411(a512,x10511),x10512)),x10512))
% 1.62/1.66 [1052]~P4(f353(f407(a488,f237(f411(a512,x10521),x10522)),x10521))
% 1.62/1.66 [968]E(f285(f203(x9681,x9682),f204(x9683,x9682)),f204(f68(x9681,x9683),x9682))
% 1.62/1.66 [969]E(f255(f405(x9691,x9692),f353(x9693,x9692)),f353(f69(x9691,x9693),x9692))
% 1.62/1.66 [970]E(f258(f217(x9701,x9702),f204(x9703,x9702)),f203(f70(x9701,x9703),x9702))
% 1.62/1.66 [957]E(f211(f307(f23(x9571),x9572),x9573),f208(x9571,f195(x9572,x9573)))
% 1.62/1.66 [958]E(f407(f370(f29(x9581),x9582),x9583),f407(x9581,f237(x9582,x9583)))
% 1.62/1.66 [959]E(f408(f375(f24(x9591),x9592),x9593),f408(x9591,f237(x9592,x9593)))
% 1.62/1.66 [960]E(f194(f318(f26(x9601),x9602),x9603),f407(x9601,f201(x9602,x9603)))
% 1.62/1.66 [961]E(f405(f270(f25(x9611),x9612),x9613),f244(x9611,f353(x9612,x9613)))
% 1.62/1.66 [962]E(f212(f336(f28(x9621),x9622),x9623),f261(x9621,f204(x9622,x9623)))
% 1.62/1.66 [963]E(f213(f267(f27(x9631),x9632),x9633),f349(x9631,f214(x9632,x9633)))
% 1.62/1.66 [964]E(f196(f263(f30(x9641),x9642),x9643),f380(x9641,f204(x9642,x9643)))
% 1.62/1.66 [965]E(f214(f313(f31(x9651),x9652),x9653),f307(x9651,f197(x9652,x9653)))
% 1.62/1.66 [966]E(f217(f325(f32(x9661),x9662),x9663),f256(x9661,f187(x9662,x9663)))
% 1.62/1.66 [973]E(f198(f264(f349(a33,x9731),x9732),x9733),f302(f211(x9731,x9733),x9732))
% 1.62/1.66 [974]E(f187(f404(f363(a34,x9741),x9742),x9743),f353(f194(x9741,x9743),x9742))
% 1.62/1.66 [975]E(f187(f276(f376(a35,x9751),x9752),x9753),f248(f210(x9751,x9753),x9752))
% 1.62/1.66 [976]E(f204(f215(f397(a44,x9761),x9762),x9763),f199(f212(x9761,x9763),x9762))
% 1.62/1.66 [977]E(f204(f364(f329(a36,x9771),x9772),x9773),f285(f203(x9771,x9773),x9772))
% 1.62/1.66 [978]E(f255(f403(f330(a37,x9781),x9782),x9783),f341(f241(x9781,x9783),x9782))
% 1.62/1.66 [979]E(f353(f407(f343(a22,x9791),x9792),x9793),f353(f407(x9791,x9793),x9792))
% 1.62/1.66 [980]E(f353(f393(f309(a42,x9801),x9802),x9803),f354(f408(x9801,x9803),x9802))
% 1.62/1.66 [981]E(f206(f350(f294(a43,x9811),x9812),x9813),f335(f232(x9811,x9813),x9812))
% 1.62/1.66 [982]E(f249(f319(f297(a40,x9821),x9822),x9823),f293(f373(x9821,x9823),x9822))
% 1.62/1.66 [983]E(f301(f262(f398(a41,x9831),x9832),x9833),f347(f401(x9831,x9833),x9832))
% 1.62/1.66 [984]E(f302(f365(f308(a45,x9841),x9842),x9843),f361(f281(x9841,x9843),x9842))
% 1.62/1.66 [985]E(f226(f285(f273(a46,x9851),x9852),x9853),f302(f208(x9851,x9853),x9852))
% 1.62/1.66 [986]E(f237(f411(f351(a48,x9861),x9862),x9863),f237(f411(x9861,x9863),x9862))
% 1.62/1.66 [987]E(f212(f218(f271(a38,x9871),x9872),x9873),f205(f196(x9871,x9873),x9872))
% 1.62/1.66 [988]E(f202(f316(f390(a47,x9881),x9882),x9883),f264(f213(x9881,x9883),x9882))
% 1.62/1.66 [989]E(f203(f322(f278(a39,x9891),x9892),x9893),f258(f217(x9891,x9893),x9892))
% 1.62/1.66 [998]E(f237(f411(a512,x9981),f237(f411(a512,x9982),x9983)),f237(f411(a512,x9982),f237(f411(a512,x9981),x9983)))
% 1.62/1.66 [1002]E(f237(f411(a512,f237(f411(a512,x10021),x10022)),x10023),f237(f411(a512,x10021),f237(f411(a512,x10022),x10023)))
% 1.62/1.66 [2061]P4(f302(f208(a440,f195(f197(a524,a17),a19)),f312(a133,a489)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f312(a133,f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),a464)),f215(f397(a44,f336(f28(a11),a489)),a73)),f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a175),a188)),a464)),f215(f397(a44,f218(f271(a38,f263(f30(a8),a489)),a17)),a73)),f215(f397(a44,f336(f28(a12),a489)),a73))))))
% 1.62/1.66 [2068]~P4(f302(f208(a440,f195(f197(a524,a73),a19)),f312(a133,f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),a464)),f215(f397(a44,f336(f28(a11),a489)),a73)),f68(f70(f325(f32(a415),f404(f363(a34,f318(f26(a175),a188)),a464)),f215(f397(a44,f218(f271(a38,f263(f30(a8),a489)),a17)),a73)),f215(f397(a44,f336(f28(a12),a489)),a73))))))+P4(f302(f208(a440,f195(f197(a524,a16),a5)),f312(a133,f364(f329(a36,f322(f278(a39,f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),a464))),a185)),a425))))
% 1.62/1.66 [1056]~P9(x10561)+E(f64(x10561),x10561)
% 1.62/1.66 [1057]~P10(x10571)+E(f71(x10571),x10571)
% 1.62/1.66 [1058]~P1(x10581)+P1(f66(x10581))
% 1.62/1.66 [1059]~P8(x10591)+P2(f419(x10591))
% 1.62/1.66 [1060]~P2(x10601)+P2(f72(x10601))
% 1.62/1.66 [1061]~P11(x10611)+P11(f65(x10611))
% 1.62/1.66 [1062]~P8(x10621)+P8(f67(x10621))
% 1.62/1.66 [1063]~P9(x10631)+P9(f64(x10631))
% 1.62/1.66 [1064]~P10(x10641)+P10(f71(x10641))
% 1.62/1.66 [1113]P3(f74(x11131))+P4(f301(a3,x11131))
% 1.62/1.66 [1114]P3(f77(x11141))+P4(f301(a3,x11141))
% 1.62/1.66 [1115]P3(f78(x11151))+P4(f301(a4,x11151))
% 1.62/1.66 [1116]P3(f81(x11161))+P4(f301(a4,x11161))
% 1.62/1.66 [1137]P4(a531)+~P4(f187(a529,x11371))
% 1.62/1.66 [1138]P4(a531)+~P4(f353(a534,x11381))
% 1.62/1.66 [1139]P4(a531)+~P4(f206(a1,x11391))
% 1.62/1.66 [1140]P4(a531)+~P4(f249(a530,x11401))
% 1.62/1.66 [1141]P4(a531)+~P4(f301(a525,x11411))
% 1.62/1.66 [1142]P4(a531)+~P4(f302(a528,x11421))
% 1.62/1.66 [1143]P4(a531)+~P4(f226(a526,x11431))
% 1.62/1.66 [1065]E(x10651,a537)+E(f237(a465,f135(x10651)),x10651)
% 1.62/1.66 [1066]E(x10661,a537)+E(f237(a465,f169(x10661)),x10661)
% 1.62/1.66 [1147]P6(f93(x11471))+P4(f248(f416(x11471),a529))
% 1.62/1.66 [1148]P6(f109(x11481))+P4(f248(f416(x11481),a529))
% 1.62/1.66 [1149]~E(f109(x11491),f93(x11491))+P4(f248(f416(x11491),a529))
% 1.62/1.66 [1150]~E(f94(x11501),f107(x11501))+P4(f354(f418(x11501),a534))
% 1.62/1.66 [1159]E(x11591,a537)+P4(f353(f407(a488,a537),x11591))
% 1.62/1.66 [1165]E(x11651,a534)+P4(f354(f260(a484,x11651),a534))
% 1.62/1.66 [1195]E(f201(x11951,f109(x11951)),f201(x11951,f93(x11951)))+P4(f248(f416(x11951),a529))
% 1.62/1.66 [1196]E(f237(x11961,f94(x11961)),f237(x11961,f107(x11961)))+P4(f354(f418(x11961),a534))
% 1.62/1.66 [1238]E(x12381,a534)+~P4(f354(f260(a471,a534),x12381))
% 1.62/1.66 [1240]E(x12401,a537)+~P4(f353(f407(a468,x12401),a537))
% 1.62/1.66 [1323]E(f237(a465,f155(x13231)),x13231)+~P4(f353(f407(a488,a537),x13231))
% 1.62/1.66 [1324]E(f237(a465,f165(x13241)),x13241)+~P4(f353(f407(a488,a537),x13241))
% 1.62/1.66 [1370]E(x13701,a537)+~P4(f353(f407(a488,x13701),f237(a465,a537)))
% 1.62/1.66 [1316]P4(f301(a3,x13161))+P4(f293(f373(a426,f75(x13161)),a10))
% 1.62/1.66 [1317]P4(f301(a3,x13171))+P4(f293(f373(a426,f76(x13171)),a10))
% 1.62/1.66 [1318]P4(f301(a4,x13181))+P4(f293(f373(a426,f79(x13181)),a10))
% 1.62/1.66 [1602]~P4(f361(f281(a433,x16021),a14))+P4(f293(f373(a426,f364(a62,x16021)),a10))
% 1.62/1.66 [1902]P4(f301(a4,x19021))+~P4(f302(f208(a440,f195(f197(a524,f78(x19021)),f81(x19021))),f312(x19021,f79(x19021))))
% 1.62/1.66 [2053]~P4(f353(f407(a468,x20531),a464))+P4(f302(f208(a440,f195(f197(a524,a16),a5)),f312(a133,f364(f329(a36,f322(f278(a39,f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),x20531))),a185)),a425))))
% 1.62/1.66 [2054]~P4(f353(f407(a468,x20541),a84))+P4(f302(f208(a440,f195(f197(a524,a16),a5)),f312(a133,f364(f329(a36,f322(f278(a39,f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),x20541))),a185)),a425))))
% 1.62/1.66 [2055]~P4(f353(f407(a468,x20551),a92))+P4(f302(f208(a440,f195(f197(a524,a16),a5)),f312(a133,f364(f329(a36,f322(f278(a39,f325(f32(a415),f404(f363(a34,f318(f26(a488),a188)),x20551))),a185)),a425))))
% 1.62/1.66 [1074]~P11(x10741)+P1(f491(x10741,x10742))
% 1.62/1.66 [1075]~P6(x10752)+P1(f222(x10751,x10752))
% 1.62/1.66 [1076]~P5(x10762)+P1(f243(x10761,x10762))
% 1.62/1.66 [1077]~P1(x10772)+P1(f262(x10771,x10772))
% 1.62/1.66 [1078]~P8(x10781)+P2(f492(x10781,x10782))
% 1.62/1.66 [1079]~P3(x10792)+P2(f211(x10791,x10792))
% 1.62/1.66 [1080]~P6(x10802)+P2(f219(x10801,x10802))
% 1.62/1.66 [1081]~P5(x10812)+P2(f246(x10811,x10812))
% 1.62/1.66 [1082]~P2(x10822)+P2(f365(x10821,x10822))
% 1.62/1.66 [1083]~P8(x10832)+P2(f283(x10831,x10832))
% 1.62/1.66 [1084]~P9(x10841)+P11(f467(x10841,x10842))
% 1.62/1.66 [1085]~P6(x10852)+P11(f220(x10851,x10852))
% 1.62/1.66 [1086]~P5(x10862)+P11(f240(x10861,x10862))
% 1.62/1.66 [1087]~P11(x10872)+P11(f319(x10871,x10872))
% 1.62/1.66 [1088]~P8(x10882)+P11(f282(x10881,x10882))
% 1.62/1.66 [1089]~P3(x10892)+P8(f199(x10891,x10892))
% 1.62/1.66 [1090]~P6(x10902)+P8(f204(x10901,x10902))
% 1.62/1.66 [1091]~P5(x10912)+P8(f247(x10911,x10912))
% 1.62/1.66 [1092]~P8(x10922)+P8(f285(x10921,x10922))
% 1.62/1.66 [1093]~P3(x10932)+P5(f198(x10931,x10932))
% 1.62/1.66 [1094]~P5(x10942)+P5(f255(x10941,x10942))
% 1.62/1.66 [1095]~P10(x10951)+P5(f206(x10951,x10952))
% 1.62/1.66 [1096]~P9(x10962)+P5(f248(x10961,x10962))
% 1.62/1.66 [1097]~P11(x10971)+P5(f249(x10971,x10972))
% 1.62/1.66 [1098]~P10(x10982)+P5(f335(x10981,x10982))
% 1.62/1.66 [1099]~P11(x10992)+P5(f293(x10991,x10992))
% 1.62/1.66 [1100]~P1(x11001)+P5(f301(x11001,x11002))
% 1.62/1.66 [1101]~P1(x11012)+P5(f347(x11011,x11012))
% 1.62/1.66 [1102]~P2(x11022)+P5(f361(x11021,x11022))
% 1.62/1.66 [1103]~P8(x11031)+P5(f226(x11031,x11032))
% 1.62/1.66 [1104]~P5(x11042)+P9(f238(x11041,x11042))
% 1.62/1.66 [1105]~P9(x11052)+P9(f276(x11051,x11052))
% 1.62/1.66 [1106]~P8(x11062)+P9(f352(x11061,x11062))
% 1.62/1.66 [1107]~P7(x11071)+P6(f409(x11071,x11072))
% 1.62/1.66 [1108]~P8(x11082)+P6(f279(x11081,x11082))
% 1.62/1.66 [1109]~P9(x11091)+P7(f413(x11091,x11092))
% 1.62/1.66 [1110]~P5(x11102)+P10(f239(x11101,x11102))
% 1.62/1.66 [1111]~P10(x11112)+P10(f350(x11111,x11112))
% 1.62/1.66 [1112]~P8(x11122)+P10(f377(x11121,x11122))
% 1.62/1.66 [1117]P3(f136(x11171))+P4(f226(x11171,x11172))
% 1.62/1.66 [1118]P3(f154(x11181))+P4(f226(x11181,x11182))
% 1.62/1.66 [1120]E(x11201,x11202)+~E(f237(a465,x11201),f237(a465,x11202))
% 1.62/1.66 [1124]~P5(x11241)+E(f187(f238(a49,x11241),x11242),x11241)
% 1.62/1.66 [1125]~P2(x11251)+E(f219(f305(a58,x11251),x11252),x11251)
% 1.62/1.66 [1126]~P8(x11261)+E(f204(f364(a62,x11261),x11262),x11261)
% 1.62/1.66 [1127]~P8(x11271)+E(f247(f366(a57,x11271),x11272),x11271)
% 1.62/1.66 [1128]~P5(x11281)+E(f353(f186(a20,x11281),x11282),x11281)
% 1.62/1.66 [1129]~P5(x11291)+E(f206(f239(a50,x11291),x11292),x11291)
% 1.62/1.66 [1130]~P5(x11301)+E(f249(f240(a51,x11301),x11302),x11301)
% 1.62/1.66 [1131]~P2(x11311)+E(f311(f372(a59,x11311),x11312),x11311)
% 1.62/1.66 [1132]~P5(x11321)+E(f301(f243(a52,x11321),x11322),x11321)
% 1.62/1.66 [1133]~P5(x11331)+E(f302(f246(a60,x11331),x11332),x11331)
% 1.62/1.66 [1134]~P9(x11341)+E(f352(f266(a56,x11341),x11342),x11341)
% 1.62/1.66 [1135]~P11(x11351)+E(f282(f346(a63,x11351),x11352),x11351)
% 1.62/1.66 [1136]~P5(x11361)+E(f226(f247(a53,x11361),x11362),x11361)
% 1.62/1.66 [1151]E(x11511,a537)+~E(f237(f411(a512,x11512),x11511),a537)
% 1.62/1.66 [1152]E(x11521,a537)+~E(f237(f411(a512,x11521),x11522),a537)
% 1.62/1.66 [1153]E(x11531,a537)+~E(f237(f411(a512,x11532),x11531),x11532)
% 1.62/1.66 [1161]P6(f95(x11611,x11612))+P4(f248(f416(x11611),x11612))
% 1.62/1.66 [1162]P6(f100(x11621,x11622))+P4(f248(f416(x11621),x11622))
% 1.62/1.66 [1163]P6(f137(x11631,x11632))+P4(f248(f416(x11631),x11632))
% 1.62/1.66 [1164]P6(f147(x11641,x11642))+P4(f248(f416(x11641),x11642))
% 1.62/1.66 [1176]~E(x11761,x11762)+P4(f353(f407(a175,x11761),x11762))
% 1.62/1.66 [1183]~E(x11831,x11832)+P4(f353(f407(a468,x11831),x11832))
% 1.62/1.66 [1184]~E(x11842,x11841)+P4(f354(f260(a471,x11841),x11842))
% 1.62/1.66 [1194]~E(x11941,x11942)+P4(f354(f260(a471,x11941),x11942))
% 1.62/1.66 [1210]~E(f100(x12101,x12102),f95(x12101,x12102))+P4(f248(f416(x12101),x12102))
% 1.62/1.66 [1211]~E(f147(x12111,x12112),f137(x12111,x12112))+P4(f248(f416(x12111),x12112))
% 1.62/1.66 [1212]~E(f96(x12121,x12122),f98(x12121,x12122))+P4(f354(f418(x12121),x12122))
% 1.62/1.66 [1213]~E(f138(x12131,x12132),f146(x12131,x12132))+P4(f354(f418(x12131),x12132))
% 1.62/1.66 [1225]~E(x12251,f237(a465,x12252))+P4(f353(f407(a488,a537),x12251))
% 1.62/1.66 [1232]P8(f110(x12321,x12322))+P4(f361(f306(a473,x12322),x12321))
% 1.62/1.66 [1233]P5(f111(x12331,x12332))+P4(f341(f371(a487,x12332),x12331))
% 1.62/1.66 [1234]P6(f116(x12341,x12342))+P4(f248(f362(a470,x12342),x12341))
% 1.62/1.66 [1266]E(x12661,x12662)+~P4(f353(f407(a175,x12661),x12662))
% 1.62/1.66 [1267]~E(x12671,a537)+~P4(f353(f407(a488,x12672),x12671))
% 1.62/1.66 [1269]E(f201(x12691,f100(x12691,x12692)),f201(x12691,f95(x12691,x12692)))+P4(f248(f416(x12691),x12692))
% 1.62/1.66 [1270]E(f201(x12701,f147(x12701,x12702)),f201(x12701,f137(x12701,x12702)))+P4(f248(f416(x12701),x12702))
% 1.62/1.66 [1271]E(f237(x12711,f96(x12711,x12712)),f237(x12711,f98(x12711,x12712)))+P4(f354(f418(x12711),x12712))
% 1.62/1.66 [1272]E(f237(x12721,f138(x12721,x12722)),f237(x12721,f146(x12721,x12722)))+P4(f354(f418(x12721),x12722))
% 1.62/1.66 [1286]~E(x12861,x12862)+~P4(f353(f407(a488,x12861),x12862))
% 1.62/1.66 [1289]~E(x12891,x12892)+~P4(f248(f362(a477,x12891),x12892))
% 1.62/1.66 [1294]~E(x12941,x12942)+~P4(f354(f260(a484,x12941),x12942))
% 1.62/1.66 [1297]~E(x12971,x12972)+~P4(f335(f345(a479,x12971),x12972))
% 1.62/1.66 [1298]~P4(f187(x12982,x12981))+P4(f248(f210(a434,x12981),x12982))
% 1.62/1.66 [1299]~P4(f255(x12992,x12991))+P4(f341(f241(a438,x12991),x12992))
% 1.62/1.66 [1300]~P4(f353(x13002,x13001))+P4(f354(f408(a460,x13001),x13002))
% 1.62/1.66 [1301]~P4(f206(x13012,x13011))+P4(f335(f232(a439,x13011),x13012))
% 1.62/1.66 [1302]~P4(f249(x13022,x13021))+P4(f293(f373(a426,x13021),x13022))
% 1.62/1.66 [1303]~P4(f301(x13032,x13031))+P4(f347(f401(a436,x13031),x13032))
% 1.62/1.66 [1304]~P4(f302(x13042,x13041))+P4(f361(f281(a433,x13041),x13042))
% 1.62/1.66 [1305]~P4(f226(x13052,x13051))+P4(f302(f208(a440,x13051),x13052))
% 1.62/1.66 [1306]P4(x13061)+~P4(f255(f244(a174,x13062),x13061))
% 1.62/1.66 [1307]P4(x13071)+~P4(f255(f244(a174,x13071),x13072))
% 1.62/1.66 [1308]~E(x13081,a537)+P4(f353(f407(a488,x13081),f237(a465,x13082)))
% 1.62/1.66 [1319]~E(x13191,x13192)+P4(f353(f407(a488,x13191),f237(a465,x13192)))
% 1.62/1.66 [1320]E(f237(f414(a534,x13201),f237(x13201,x13202)),x13202)+~P4(f354(f418(x13201),a534))
% 1.62/1.66 [1341]P4(f187(x13411,x13412))+~P4(f248(f210(a434,x13412),x13411))
% 1.62/1.66 [1342]P4(f255(x13421,x13422))+~P4(f341(f241(a438,x13422),x13421))
% 1.62/1.66 [1343]P4(f353(x13431,x13432))+~P4(f354(f408(a460,x13432),x13431))
% 1.62/1.66 [1344]P4(f206(x13441,x13442))+~P4(f335(f232(a439,x13442),x13441))
% 1.62/1.66 [1345]P4(f249(x13451,x13452))+~P4(f293(f373(a426,x13452),x13451))
% 1.62/1.66 [1346]P4(f301(x13461,x13462))+~P4(f347(f401(a436,x13462),x13461))
% 1.62/1.66 [1347]P4(f302(x13471,x13472))+~P4(f361(f281(a433,x13472),x13471))
% 1.62/1.66 [1348]P4(f226(x13481,x13482))+~P4(f302(f208(a440,x13482),x13481))
% 1.62/1.66 [1353]P4(f353(f407(a468,x13532),x13531))+P4(f353(f407(a488,x13531),x13532))
% 1.62/1.66 [1356]P4(f353(f407(a468,x13562),x13561))+P4(f353(f407(a468,x13561),x13562))
% 1.62/1.66 [1371]E(f237(f411(a512,x13711),f120(x13711,x13712)),x13712)+~P4(f353(f407(a468,x13711),x13712))
% 1.62/1.66 [1372]E(f237(f411(a512,x13721),f160(x13721,x13722)),x13722)+~P4(f353(f407(a488,x13721),x13722))
% 1.62/1.66 [1377]~P4(f255(f244(a486,x13771),x13772))+P4(f255(f244(a469,x13771),x13772))
% 1.62/1.66 [1386]~P4(f353(f407(a488,x13861),x13862))+P4(f353(f407(a468,x13861),x13862))
% 1.62/1.66 [1390]~P4(f248(f362(a477,x13901),x13902))+P4(f248(f362(a470,x13901),x13902))
% 1.62/1.66 [1398]~P4(f354(f260(a484,x13981),x13982))+P4(f354(f260(a471,x13981),x13982))
% 1.62/1.66 [1402]~P4(f335(f345(a479,x14021),x14022))+P4(f335(f345(a476,x14021),x14022))
% 1.62/1.66 [1403]P4(f353(f407(a488,x14031),x14032))+P4(f353(f407(a488,x14032),f237(a465,x14031)))
% 1.62/1.66 [1428]~E(f312(x14281,f101(x14281,x14282)),f204(f101(x14281,x14282),x14282))+P4(f187(f389(a9,x14281),x14282))
% 1.62/1.66 [1499]~P4(f255(f244(a469,x14992),x14991))+~P4(f255(f244(a486,x14991),x14992))
% 1.62/1.66 [1505]~P4(f353(f407(a488,x15052),x15051))+~P4(f353(f407(a488,x15051),x15052))
% 1.62/1.66 [1509]~P4(f353(f407(a468,x15092),x15091))+~P4(f353(f407(a488,x15091),x15092))
% 1.62/1.66 [1514]~P4(f248(f362(a477,x15142),x15141))+~P4(f248(f362(a477,x15141),x15142))
% 1.62/1.66 [1516]~P4(f248(f362(a470,x15162),x15161))+~P4(f248(f362(a477,x15161),x15162))
% 1.62/1.66 [1521]~P4(f354(f260(a484,x15212),x15211))+~P4(f354(f260(a484,x15211),x15212))
% 1.62/1.66 [1523]~P4(f354(f260(a471,x15232),x15231))+~P4(f354(f260(a484,x15231),x15232))
% 1.62/1.66 [1528]~P4(f335(f345(a479,x15282),x15281))+~P4(f335(f345(a479,x15281),x15282))
% 1.62/1.66 [1530]~P4(f335(f345(a476,x15302),x15301))+~P4(f335(f345(a479,x15301),x15302))
% 1.62/1.66 [1532]~P4(f353(f407(a488,x15321),x15322))+P4(f353(f407(a488,x15321),f237(a465,x15322)))
% 1.62/1.66 [1534]~P4(f353(f407(a468,x15341),x15342))+P4(f353(f407(a488,x15341),f237(a465,x15342)))
% 1.62/1.66 [1536]~P4(f353(f407(a468,x15361),x15362))+P4(f353(f407(a468,x15361),f237(a465,x15362)))
% 1.62/1.66 [1537]P4(f353(f407(a488,a537),f160(x15371,x15372)))+~P4(f353(f407(a488,x15371),x15372))
% 1.62/1.66 [1589]P4(f353(f407(a468,x15891),x15892))+~P4(f353(f407(a488,x15891),f237(a465,x15892)))
% 1.62/1.66 [1614]~P4(f353(f407(a488,x16141),x16142))+~P4(f353(f407(a488,x16142),f237(a465,x16141)))
% 1.62/1.66 [1708]~P4(f353(f407(a488,x17081),x17082))+P4(f353(f407(a488,f237(a465,x17081)),f237(a465,x17082)))
% 1.62/1.66 [1709]~P4(f353(f407(a468,x17091),x17092))+P4(f353(f407(a468,f237(a465,x17091)),f237(a465,x17092)))
% 1.62/1.66 [1752]P4(f353(f407(a488,x17521),x17522))+~P4(f353(f407(a488,f237(a465,x17521)),f237(a465,x17522)))
% 1.62/1.66 [1753]P4(f353(f407(a468,x17531),x17532))+~P4(f353(f407(a468,f237(a465,x17531)),f237(a465,x17532)))
% 1.62/1.66 [1214]~P8(x12142)+E(f285(f258(f256(a415,a132),x12141),x12142),x12142)
% 1.62/1.66 [1215]~P8(x12151)+E(f285(f258(f256(a415,a173),x12151),x12152),x12151)
% 1.62/1.66 [1434]P4(f354(a191,x14341))+P4(f354(f408(a460,f157(x14342,x14341)),x14341))
% 1.62/1.66 [1435]P4(f354(a191,x14351))+P4(f354(f408(a460,f148(x14351,x14352)),x14351))
% 1.62/1.66 [1436]P4(f354(a191,x14361))+P4(f354(f408(a460,f152(x14361,x14362)),x14361))
% 1.62/1.66 [1485]P4(f248(f416(x14851),x14852))+P4(f248(f210(a434,f95(x14851,x14852)),x14852))
% 1.62/1.66 [1486]P4(f248(f416(x14861),x14862))+P4(f248(f210(a434,f100(x14861,x14862)),x14862))
% 1.62/1.66 [1487]P4(f248(f416(x14871),x14872))+P4(f248(f210(a434,f137(x14871,x14872)),x14872))
% 1.62/1.66 [1488]P4(f248(f416(x14881),x14882))+P4(f248(f210(a434,f147(x14881,x14882)),x14882))
% 1.62/1.66 [1489]P4(f354(f418(x14891),x14892))+P4(f354(f408(a460,f96(x14891,x14892)),x14892))
% 1.62/1.66 [1490]P4(f354(f418(x14901),x14902))+P4(f354(f408(a460,f98(x14901,x14902)),x14902))
% 1.62/1.66 [1491]P4(f354(f418(x14911),x14912))+P4(f354(f408(a460,f138(x14911,x14912)),x14912))
% 1.62/1.66 [1492]P4(f354(f418(x14921),x14922))+P4(f354(f408(a460,f146(x14921,x14922)),x14922))
% 1.62/1.66 [1551]P4(f353(f407(a468,x15511),x15512))+P4(f353(f407(a468,f237(a465,x15512)),x15511))
% 1.62/1.66 [1569]P4(f187(f389(a9,x15691),x15692))+P4(f293(f373(a426,f101(x15691,x15692)),a10))
% 1.62/1.66 [1574]P4(f248(f362(a470,x15741),x15742))+P4(f248(f210(a434,f116(x15742,x15741)),x15741))
% 1.62/1.66 [1575]P4(f341(f371(a487,x15751),x15752))+P4(f341(f241(a438,f111(x15752,x15751)),x15751))
% 1.62/1.66 [1576]P4(f354(f260(a471,x15761),x15762))+P4(f354(f408(a460,f118(x15762,x15761)),x15761))
% 1.62/1.66 [1577]P4(f335(f345(a476,x15771),x15772))+P4(f335(f232(a439,f117(x15772,x15771)),x15771))
% 1.62/1.66 [1578]P4(f293(f296(a472,x15781),x15782))+P4(f293(f373(a426,f121(x15782,x15781)),x15781))
% 1.62/1.66 [1579]P4(f347(f269(a478,x15791),x15792))+P4(f347(f401(a436,f122(x15792,x15791)),x15791))
% 1.62/1.66 [1580]P4(f361(f306(a473,x15801),x15802))+P4(f361(f281(a433,f110(x15802,x15801)),x15801))
% 1.62/1.66 [1581]P4(f302(f283(a483,x15811),x15812))+P4(f302(f208(a440,f123(x15812,x15811)),x15811))
% 1.62/1.66 [1582]E(f237(a465,f237(f411(a512,x15821),f161(x15821,x15822))),x15822)+~P4(f353(f407(a488,x15821),x15822))
% 1.62/1.66 [1583]E(f237(a465,f237(f411(a512,x15831),f163(x15831,x15832))),x15832)+~P4(f353(f407(a488,x15831),x15832))
% 1.62/1.66 [1607]~P4(f353(f407(a488,x16071),x16072))+P4(f353(f407(a468,f237(a465,x16071)),x16072))
% 1.62/1.66 [1609]E(f237(a465,f167(x16091,x16092)),x16092)+~P4(f353(f407(a468,f237(a465,x16091)),x16092))
% 1.62/1.67 [1610]E(f237(a465,f168(x16101,x16102)),x16102)+~P4(f353(f407(a488,f237(a465,x16101)),x16102))
% 1.62/1.67 [1611]P4(f354(a191,x16111))+~P4(f353(f407(a488,f157(x16112,x16111)),x16112))
% 1.62/1.67 [1612]P4(f354(a191,x16121))+~P4(f353(f407(a488,f152(x16121,x16122)),x16122))
% 1.62/1.67 [1613]P4(f354(a191,x16131))+~P4(f353(f407(a468,f148(x16131,x16132)),x16132))
% 1.62/1.67 [1718]P4(f353(f407(a488,x17181),x17182))+~P4(f353(f407(a488,f237(a465,x17181)),x17182))
% 1.62/1.67 [1721]P4(f353(f407(a488,x17211),x17212))+~P4(f353(f407(a468,f237(a465,x17211)),x17212))
% 1.62/1.67 [1722]P4(f353(f407(a468,x17221),x17222))+~P4(f353(f407(a468,f237(a465,x17221)),x17222))
% 1.62/1.67 [1735]P4(f248(f362(a470,x17351),x17352))+~P4(f248(f210(a434,f116(x17352,x17351)),x17352))
% 1.62/1.67 [1736]P4(f341(f371(a487,x17361),x17362))+~P4(f341(f241(a438,f111(x17362,x17361)),x17362))
% 1.62/1.67 [1737]P4(f354(f260(a471,x17371),x17372))+~P4(f354(f408(a460,f118(x17372,x17371)),x17372))
% 1.62/1.67 [1738]P4(f335(f345(a476,x17381),x17382))+~P4(f335(f232(a439,f117(x17382,x17381)),x17382))
% 1.62/1.67 [1739]P4(f293(f296(a472,x17391),x17392))+~P4(f293(f373(a426,f121(x17392,x17391)),x17392))
% 1.62/1.67 [1740]P4(f347(f269(a478,x17401),x17402))+~P4(f347(f401(a436,f122(x17402,x17401)),x17402))
% 1.62/1.67 [1741]P4(f361(f306(a473,x17411),x17412))+~P4(f361(f281(a433,f110(x17412,x17411)),x17412))
% 1.62/1.67 [1742]P4(f302(f283(a483,x17421),x17422))+~P4(f302(f208(a440,f123(x17422,x17421)),x17422))
% 1.62/1.67 [1748]~P4(f353(f407(a468,x17481),x17482))+~P4(f353(f407(a468,f237(a465,x17482)),x17481))
% 1.62/1.67 [1749]P4(f353(f407(a488,x17491),f168(x17491,x17492)))+~P4(f353(f407(a488,f237(a465,x17491)),x17492))
% 1.62/1.67 [1754]P4(f226(x17541,x17542))+~P4(f226(x17541,f195(f197(a524,f136(x17541)),f154(x17541))))
% 1.62/1.67 [1811]~P4(f248(f362(a470,x18111),x18112))+P4(f248(f362(a470,f276(f376(a35,a434),x18111)),f276(f376(a35,a434),x18112)))
% 1.62/1.67 [1812]~P4(f341(f371(a487,x18121),x18122))+P4(f341(f371(a487,f403(f330(a37,a438),x18121)),f403(f330(a37,a438),x18122)))
% 1.62/1.67 [1813]~P4(f354(f260(a471,x18131),x18132))+P4(f354(f260(a471,f393(f309(a42,a460),x18131)),f393(f309(a42,a460),x18132)))
% 1.62/1.67 [1814]~P4(f335(f345(a476,x18141),x18142))+P4(f335(f345(a476,f350(f294(a43,a439),x18141)),f350(f294(a43,a439),x18142)))
% 1.62/1.67 [1815]~P4(f293(f296(a472,x18151),x18152))+P4(f293(f296(a472,f319(f297(a40,a426),x18151)),f319(f297(a40,a426),x18152)))
% 1.62/1.67 [1816]~P4(f347(f269(a478,x18161),x18162))+P4(f347(f269(a478,f262(f398(a41,a436),x18161)),f262(f398(a41,a436),x18162)))
% 1.62/1.67 [1817]~P4(f361(f306(a473,x18171),x18172))+P4(f361(f306(a473,f365(f308(a45,a433),x18171)),f365(f308(a45,a433),x18172)))
% 1.62/1.67 [1818]~P4(f302(f283(a483,x18181),x18182))+P4(f302(f283(a483,f285(f273(a46,a440),x18181)),f285(f273(a46,a440),x18182)))
% 1.62/1.67 [1867]P4(f248(f362(a470,x18671),x18672))+~P4(f248(f362(a470,f276(f376(a35,a434),x18671)),f276(f376(a35,a434),x18672)))
% 1.62/1.67 [1868]P4(f341(f371(a487,x18681),x18682))+~P4(f341(f371(a487,f403(f330(a37,a438),x18681)),f403(f330(a37,a438),x18682)))
% 1.62/1.67 [1869]P4(f354(f260(a471,x18691),x18692))+~P4(f354(f260(a471,f393(f309(a42,a460),x18691)),f393(f309(a42,a460),x18692)))
% 1.62/1.67 [1870]P4(f335(f345(a476,x18701),x18702))+~P4(f335(f345(a476,f350(f294(a43,a439),x18701)),f350(f294(a43,a439),x18702)))
% 1.62/1.67 [1871]P4(f293(f296(a472,x18711),x18712))+~P4(f293(f296(a472,f319(f297(a40,a426),x18711)),f319(f297(a40,a426),x18712)))
% 1.62/1.67 [1872]P4(f347(f269(a478,x18721),x18722))+~P4(f347(f269(a478,f262(f398(a41,a436),x18721)),f262(f398(a41,a436),x18722)))
% 1.62/1.67 [1873]P4(f361(f306(a473,x18731),x18732))+~P4(f361(f306(a473,f365(f308(a45,a433),x18731)),f365(f308(a45,a433),x18732)))
% 1.62/1.67 [1874]P4(f302(f283(a483,x18741),x18742))+~P4(f302(f283(a483,f285(f273(a46,a440),x18741)),f285(f273(a46,a440),x18742)))
% 1.62/1.67 [1900]P4(f354(f260(a471,x19001),x19002))+~P4(f255(f244(a469,f353(x19001,f97(x19001,x19002))),f353(x19002,f97(x19001,x19002))))
% 1.62/1.67 [1901]P4(f354(f260(a471,x19011),x19012))+~P4(f255(f244(a469,f353(x19011,f114(x19011,x19012))),f353(x19012,f114(x19011,x19012))))
% 1.62/1.67 [1760]~P4(f361(f281(a433,x17601),a14))+P4(f361(f281(a433,f199(f261(a12,x17601),x17602)),a14))
% 1.62/1.67 [1761]~P4(f361(f281(a433,x17611),a14))+P4(f361(f281(a433,f199(f261(a11,x17611),x17612)),a14))
% 1.62/1.67 [1893]E(f407(f466(x18931),f237(f411(a512,x18931),f189(x18932))),x18932)+~P4(f354(f260(a471,x18932),f407(f466(x18931),f237(f411(a512,x18931),f189(x18932)))))
% 1.62/1.67 [1904]~P4(f354(f408(a460,a537),x19041))+~E(f189(f69(f270(f25(a174),f393(f309(a42,a460),x19041)),f407(f343(a22,a488),f237(a465,x19042)))),a537)
% 1.62/1.67 [1944]E(f189(f69(f270(f25(a174),f393(f309(a42,f375(f24(a460),a465)),x19441)),f407(f343(a22,a488),x19442))),f189(f69(f270(f25(a174),f393(f309(a42,a460),x19441)),f407(f343(a22,a488),f237(a465,x19442)))))+P4(f354(f408(a460,a537),x19441))
% 1.62/1.67 [1903]~P4(f353(f407(a468,f158(x19032,x19031)),f237(x19031,f158(x19032,x19031))))+P4(f354(a191,f407(f343(a22,f370(f29(a468),x19031)),x19032)))
% 1.62/1.67 [2011]~P4(f354(f408(a460,a537),x20111))+E(f237(a465,f189(f69(f270(f25(a174),f393(f309(a42,f375(f24(a460),a465)),x20111)),f407(f343(a22,a488),x20112)))),f189(f69(f270(f25(a174),f393(f309(a42,a460),x20111)),f407(f343(a22,a488),f237(a465,x20112)))))
% 1.62/1.67 [2028]~P4(f302(f283(a483,x20281),x20282))+P4(f320(f340(a485,f316(f390(a47,f267(f27(a33),f313(f31(f23(a440)),a524))),x20281)),f316(f390(a47,f267(f27(a33),f313(f31(f23(a440)),a524))),x20282)))
% 1.62/1.67 [2039]P4(f302(f283(a483,x20391),x20392))+~P4(f320(f340(a485,f316(f390(a47,f267(f27(a33),f313(f31(f23(a440)),a524))),x20391)),f316(f390(a47,f267(f27(a33),f313(f31(f23(a440)),a524))),x20392)))
% 1.62/1.67 [1246]E(x12461,x12462)+~E(f237(f411(a512,x12463),x12461),f237(f411(a512,x12463),x12462))
% 1.62/1.67 [1249]E(x12491,x12492)+~E(f237(f411(a512,x12491),x12493),f237(f411(a512,x12492),x12493))
% 1.62/1.67 [1330]~E(x13302,f237(f411(a512,x13301),x13303))+P4(f353(f407(a468,x13301),x13302))
% 1.62/1.67 [1497]P6(f102(x14971,x14972,x14973))+P4(f293(f373(a426,x14971),f467(x14973,x14972)))
% 1.62/1.67 [1498]P6(f139(x14981,x14982,x14983))+P4(f293(f373(a426,x14981),f467(x14983,x14982)))
% 1.62/1.67 [1723]P6(f112(x17231,x17232,x17233))+P4(f293(f296(a472,f467(x17233,x17231)),f467(x17233,x17232)))
% 1.62/1.67 [1726]~P4(f354(f260(a471,x17261),x17263))+P4(f255(f244(a469,f353(x17261,x17262)),f353(x17263,x17262)))
% 1.62/1.67 [1727]~P4(f248(f362(a470,x17273),x17271))+P4(f293(f296(a472,f467(x17271,x17272)),f467(x17273,x17272)))
% 1.62/1.67 [1728]~P4(f293(f296(a472,x17283),x17281))+P4(f347(f269(a478,f491(x17281,x17282)),f491(x17283,x17282)))
% 1.62/1.67 [1729]~P4(f302(f283(a483,x17293),x17291))+P4(f361(f306(a473,f492(x17291,x17292)),f492(x17293,x17292)))
% 1.62/1.67 [1451]~E(x14512,f237(a465,f237(f411(a512,x14511),x14513)))+P4(f353(f407(a488,x14511),x14512))
% 1.62/1.67 [1706]P6(f124(x17061,x17062,x17063))+P4(f293(f373(a426,x17061),f467(x17063,f305(a58,x17062))))
% 1.62/1.67 [1711]~P4(f353(f407(a488,x17111),x17113))+P4(f353(f407(a488,x17111),f237(f411(a512,x17112),x17113)))
% 1.62/1.67 [1713]~P4(f353(f407(a488,x17131),x17132))+P4(f353(f407(a488,x17131),f237(f411(a512,x17132),x17133)))
% 1.62/1.67 [1715]~P4(f353(f407(a468,x17151),x17153))+P4(f353(f407(a468,x17151),f237(f411(a512,x17152),x17153)))
% 1.62/1.67 [1717]~P4(f353(f407(a468,x17171),x17172))+P4(f353(f407(a468,x17171),f237(f411(a512,x17172),x17173)))
% 1.62/1.67 [1826]~P4(f353(f407(a488,x18262),x18263))+P4(f353(f407(a488,f237(f411(a512,x18261),x18262)),f237(f411(a512,x18261),x18263)))
% 1.62/1.67 [1829]~P4(f353(f407(a488,x18291),x18293))+P4(f353(f407(a488,f237(f411(a512,x18291),x18292)),f237(f411(a512,x18293),x18292)))
% 1.62/1.67 [1832]~P4(f353(f407(a468,x18322),x18323))+P4(f353(f407(a468,f237(f411(a512,x18321),x18322)),f237(f411(a512,x18321),x18323)))
% 1.62/1.67 [1835]~P4(f353(f407(a468,x18351),x18353))+P4(f353(f407(a468,f237(f411(a512,x18351),x18352)),f237(f411(a512,x18353),x18352)))
% 1.62/1.67 [1836]P4(f293(f373(a426,x18361),f467(x18362,x18363)))+P4(f248(f210(a434,f102(x18361,x18363,x18362)),x18362))
% 1.62/1.67 [1837]P4(f293(f373(a426,x18371),f467(x18372,x18373)))+P4(f248(f210(a434,f139(x18371,x18373,x18372)),x18372))
% 1.62/1.67 [1838]P4(f347(f401(a436,x18381),f491(x18382,x18383)))+P4(f293(f373(a426,f105(x18381,x18383,x18382)),x18382))
% 1.62/1.67 [1839]P4(f347(f401(a436,x18391),f491(x18392,x18393)))+P4(f293(f373(a426,f145(x18391,x18393,x18392)),x18392))
% 1.62/1.67 [1840]P4(f361(f281(a433,x18401),f492(x18402,x18403)))+P4(f302(f208(a440,f103(x18401,x18403,x18402)),x18402))
% 1.62/1.67 [1841]P4(f361(f281(a433,x18411),f492(x18412,x18413)))+P4(f302(f208(a440,f140(x18411,x18413,x18412)),x18412))
% 1.62/1.67 [1854]P4(f248(f210(a434,f124(x18541,x18542,x18543)),x18543))+P4(f293(f373(a426,x18541),f467(x18543,f305(a58,x18542))))
% 1.62/1.67 [1855]P4(f293(f373(a426,f131(x18551,x18552,x18553)),x18553))+P4(f347(f401(a436,x18551),f491(x18553,f372(a59,x18552))))
% 1.62/1.67 [1856]P4(f302(f208(a440,f125(x18561,x18562,x18563)),x18563))+P4(f361(f281(a433,x18561),f492(x18563,f379(a54,x18562))))
% 1.62/1.67 [1858]P4(f293(f296(a472,f467(x18583,x18581)),f467(x18583,x18582)))+P4(f248(f210(a434,f112(x18581,x18582,x18583)),x18583))
% 1.62/1.67 [1859]P4(f347(f269(a478,f491(x18593,x18591)),f491(x18593,x18592)))+P4(f293(f373(a426,f115(x18591,x18592,x18593)),x18593))
% 1.62/1.67 [1860]P4(f361(f306(a473,f492(x18603,x18601)),f492(x18603,x18602)))+P4(f302(f208(a440,f113(x18601,x18602,x18603)),x18603))
% 1.62/1.67 [1885]P4(f353(f407(a488,x18851),x18852))+~P4(f353(f407(a488,f237(f411(a512,x18853),x18851)),f237(f411(a512,x18853),x18852)))
% 1.62/1.67 [1887]P4(f353(f407(a488,x18871),x18872))+~P4(f353(f407(a488,f237(f411(a512,x18871),x18873)),f237(f411(a512,x18872),x18873)))
% 1.62/1.67 [1890]P4(f353(f407(a468,x18901),x18902))+~P4(f353(f407(a468,f237(f411(a512,x18903),x18901)),f237(f411(a512,x18903),x18902)))
% 1.62/1.67 [1892]P4(f353(f407(a468,x18921),x18922))+~P4(f353(f407(a468,f237(f411(a512,x18921),x18923)),f237(f411(a512,x18922),x18923)))
% 1.62/1.67 [1998]P4(f293(f373(a426,x19981),f467(x19982,x19983)))+~P4(f361(f281(a433,f204(x19981,f102(x19981,x19983,x19982))),f219(x19983,f102(x19981,x19983,x19982))))
% 1.62/1.67 [1999]P4(f293(f373(a426,x19991),f467(x19992,x19993)))+~P4(f361(f281(a433,f204(x19991,f139(x19991,x19993,x19992))),f219(x19993,f139(x19991,x19993,x19992))))
% 1.62/1.67 [2000]P4(f347(f401(a436,x20001),f491(x20002,x20003)))+~P4(f361(f281(a433,f312(x20001,f105(x20001,x20003,x20002))),f311(x20003,f105(x20001,x20003,x20002))))
% 1.62/1.67 [2001]P4(f347(f401(a436,x20011),f491(x20012,x20013)))+~P4(f361(f281(a433,f312(x20011,f145(x20011,x20013,x20012))),f311(x20013,f145(x20011,x20013,x20012))))
% 1.62/1.67 [2002]P4(f361(f281(a433,x20021),f492(x20022,x20023)))+~P4(f341(f241(a438,f226(x20021,f103(x20021,x20023,x20022))),f209(x20023,f103(x20021,x20023,x20022))))
% 1.62/1.67 [2003]P4(f361(f281(a433,x20031),f492(x20032,x20033)))+~P4(f341(f241(a438,f226(x20031,f140(x20031,x20033,x20032))),f209(x20033,f140(x20031,x20033,x20032))))
% 1.62/1.67 [2007]P4(f293(f296(a472,f467(x20071,x20072)),f467(x20071,x20073)))+~P4(f361(f306(a473,f219(x20072,f112(x20072,x20073,x20071))),f219(x20073,f112(x20072,x20073,x20071))))
% 1.62/1.67 [2008]P4(f347(f269(a478,f491(x20081,x20082)),f491(x20081,x20083)))+~P4(f361(f306(a473,f311(x20082,f115(x20082,x20083,x20081))),f311(x20083,f115(x20082,x20083,x20081))))
% 1.62/1.67 [2009]P4(f361(f306(a473,f492(x20091,x20092)),f492(x20091,x20093)))+~P4(f341(f371(a487,f209(x20092,f113(x20092,x20093,x20091))),f209(x20093,f113(x20092,x20093,x20091))))
% 1.62/1.67 [1769]~P4(f417(x17693,x17691,x17692))+P4(f302(f208(a440,f195(f197(a524,x17691),x17692)),x17693))
% 1.62/1.67 [1846]P4(f353(f407(a488,x18461),x18462))+~P4(f353(f407(a488,f237(f411(a512,x18461),x18463)),x18462))
% 1.62/1.67 [1849]P4(f353(f407(a468,x18491),x18492))+~P4(f353(f407(a468,f237(f411(a512,x18493),x18491)),x18492))
% 1.62/1.67 [1850]P4(f353(f407(a468,x18501),x18502))+~P4(f353(f407(a468,f237(f411(a512,x18501),x18503)),x18502))
% 1.62/1.67 [1851]P4(f417(x18511,x18512,x18513))+~P4(f302(f208(a440,f195(f197(a524,x18512),x18513)),x18511))
% 1.62/1.67 [1954]P4(f353(f407(a488,f127(x19541,x19542,x19543)),f128(x19541,x19542,x19543)))+P4(f353(f407(a468,f237(f411(a512,f237(x19543,x19541)),x19542)),f237(x19543,f237(f411(a512,x19541),x19542))))
% 1.62/1.67 [1957]P4(f293(f373(a426,x19571),f467(x19572,f305(a58,x19573))))+~P4(f361(f281(a433,f204(x19571,f124(x19571,x19573,x19572))),x19573))
% 1.62/1.67 [1958]P4(f347(f401(a436,x19581),f491(x19582,f372(a59,x19583))))+~P4(f361(f281(a433,f312(x19581,f131(x19581,x19583,x19582))),x19583))
% 1.62/1.67 [1959]P4(f361(f281(a433,x19591),f492(x19592,f379(a54,x19593))))+~P4(f341(f241(a438,f226(x19591,f125(x19591,x19593,x19592))),x19593))
% 1.62/1.67 [2024]~P4(f353(f407(a488,f237(x20241,f127(x20242,x20243,x20241))),f237(x20241,f128(x20242,x20243,x20241))))+P4(f353(f407(a468,f237(f411(a512,f237(x20241,x20242)),x20243)),f237(x20241,f237(f411(a512,x20242),x20243))))
% 1.62/1.67 [1055]~P5(x10551)+E(x10551,a173)+E(x10551,a132)
% 1.62/1.67 [1170]~P9(x11701)+~E(x11701,a529)+P4(f248(f362(a470,a529),x11701))
% 1.62/1.67 [1171]~P10(x11711)+~E(x11711,a1)+P4(f335(f345(a476,a1),x11711))
% 1.62/1.67 [1172]~P11(x11721)+~E(x11721,a530)+P4(f293(f296(a472,a530),x11721))
% 1.62/1.67 [1173]~P1(x11731)+~E(x11731,a525)+P4(f347(f269(a478,a525),x11731))
% 1.62/1.67 [1174]~P2(x11741)+~E(x11741,a528)+P4(f361(f306(a473,a528),x11741))
% 1.62/1.67 [1175]~P8(x11751)+~E(x11751,a526)+P4(f302(f283(a483,a526),x11751))
% 1.62/1.67 [1197]~P9(x11971)+E(x11971,a529)+P4(f248(f362(a477,x11971),a529))
% 1.62/1.67 [1198]~P10(x11981)+E(x11981,a1)+P4(f335(f345(a479,x11981),a1))
% 1.62/1.67 [1199]~P11(x11991)+E(x11991,a530)+P4(f293(f296(a480,x11991),a530))
% 1.62/1.67 [1200]~P1(x12001)+E(x12001,a525)+P4(f347(f269(a474,x12001),a525))
% 1.62/1.67 [1201]~P2(x12011)+E(x12011,a528)+P4(f361(f306(a475,x12011),a528))
% 1.62/1.67 [1202]~P8(x12021)+E(x12021,a526)+P4(f302(f283(a482,x12021),a526))
% 1.62/1.67 [1204]P4(x12041)+~P4(a531)+P4(f255(f244(a486,x12041),a531))
% 1.62/1.67 [1205]~P4(x12051)+P4(a531)+P4(f255(f244(a486,x12051),a531))
% 1.62/1.67 [1251]~P9(x12511)+E(x12511,a529)+~P4(f248(f362(a470,a529),x12511))
% 1.62/1.67 [1253]~P10(x12531)+E(x12531,a1)+~P4(f335(f345(a476,a1),x12531))
% 1.62/1.67 [1255]~P11(x12551)+E(x12551,a530)+~P4(f293(f296(a472,a530),x12551))
% 1.62/1.67 [1257]~P1(x12571)+E(x12571,a525)+~P4(f347(f269(a478,a525),x12571))
% 1.62/1.67 [1259]~P2(x12591)+E(x12591,a528)+~P4(f361(f306(a473,a528),x12591))
% 1.62/1.67 [1261]~P8(x12611)+E(x12611,a526)+~P4(f302(f283(a483,a526),x12611))
% 1.62/1.67 [1263]P4(x12631)+~P4(a531)+~P4(f255(f244(a469,a531),x12631))
% 1.62/1.67 [1265]~P4(x12651)+P4(a531)+~P4(f255(f244(a469,a531),x12651))
% 1.62/1.67 [1312]~P11(x13121)+~E(x13121,a530)+~P4(f293(f296(a480,x13121),a530))
% 1.62/1.67 [1313]~P1(x13131)+~E(x13131,a525)+~P4(f347(f269(a474,x13131),a525))
% 1.62/1.67 [1314]~P2(x13141)+~E(x13141,a528)+~P4(f361(f306(a475,x13141),a528))
% 1.62/1.67 [1315]~P8(x13151)+~E(x13151,a526)+~P4(f302(f283(a482,x13151),a526))
% 1.62/1.67 [1914]P4(f301(a3,x19141))+P4(f302(f208(a440,f195(f197(a524,f74(x19141)),f77(x19141))),f312(x19141,f76(x19141))))+P4(f302(f208(a440,f195(f197(a524,f74(x19141)),f77(x19141))),f312(x19141,f75(x19141))))
% 1.62/1.67 [1962]P4(f301(a3,x19621))+~P4(f302(f208(a440,f195(f197(a524,f74(x19621)),f77(x19621))),f312(x19621,f76(x19621))))+~P4(f302(f208(a440,f195(f197(a524,f74(x19621)),f77(x19621))),f312(x19621,f75(x19621))))
% 1.62/1.67 [1934]~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x19341)))+~P4(f353(f407(a488,f201(a188,x19341)),a464))+P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a11,f204(a489,x19341)),a73)))
% 1.62/1.67 [1940]~P4(f353(f407(a488,f201(a188,x19401)),a464))+P4(f302(f208(a440,f195(f197(a524,a16),a5)),a185))+~P4(f302(f208(a440,f195(f197(a524,a73),a19)),f199(f261(a11,f204(a489,x19401)),a73)))
% 1.62/1.67 [1946]P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x19461)))+~P4(f353(f407(a488,f201(a188,x19461)),a464))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a11,f204(a489,x19461)),a73)))
% 1.62/1.67 [1122]~P9(x11221)+~P6(x11222)+P5(f187(x11221,x11222))
% 1.62/1.67 [1123]~P2(x11231)+~P8(x11232)+P5(f302(x11231,x11232))
% 1.62/1.67 [1121]~E(x11212,a537)+~E(x11211,a537)+E(f237(f411(a512,x11211),x11212),a537)
% 1.62/1.67 [1156]~E(x11562,a537)+~E(x11561,f237(a465,a537))+E(f237(f411(a512,x11561),x11562),f237(a465,a537))
% 1.62/1.67 [1157]~E(x11571,a537)+~E(x11572,f237(a465,a537))+E(f237(f411(a512,x11571),x11572),f237(a465,a537))
% 1.62/1.67 [1169]E(x11691,a537)+E(x11692,a537)+~E(f237(f411(a512,x11692),x11691),f237(a465,a537))
% 1.62/1.67 [1209]P4(x12091)+P4(x12092)+P4(f255(f244(a469,x12092),x12091))
% 1.62/1.67 [1218]E(x12181,a537)+E(x12181,f237(a465,a537))+~E(f237(f411(a512,x12182),x12181),f237(a465,a537))
% 1.62/1.67 [1219]E(x12191,a537)+E(x12191,f237(a465,a537))+~E(f237(f411(a512,x12191),x12192),f237(a465,a537))
% 1.62/1.67 [1223]~P4(x12232)+~P4(x12231)+P4(f255(f244(a469,x12231),x12232))
% 1.62/1.67 [1224]~P4(x12242)+~P4(x12241)+P4(f255(f244(a174,x12241),x12242))
% 1.62/1.67 [1231]E(x12312,f237(a465,a537))+E(x12311,f237(a465,a537))+~E(f237(f411(a512,x12311),x12312),f237(a465,a537))
% 1.62/1.67 [1322]P4(x13221)+P4(x13222)+~P4(f255(f244(a486,x13222),x13221))
% 1.62/1.67 [1328]~P6(x13282)+E(f409(f413(a529,x13281),f201(x13281,x13282)),x13282)+~P4(f248(f416(x13281),a529))
% 1.62/1.67 [1329]~P4(x13291)+~P4(x13292)+~P4(f255(f244(a486,x13292),x13291))
% 1.62/1.67 [1335]~P4(f353(x13351,x13352))+P4(f353(x13351,a537))+~P4(f353(x13351,f170(x13351)))
% 1.62/1.67 [1364]E(x13641,x13642)+P4(f353(f407(a488,x13642),x13641))+P4(f353(f407(a488,x13641),x13642))
% 1.62/1.67 [1365]P4(f353(x13651,x13652))+~P4(f353(x13651,a537))+P4(f353(x13651,f171(x13652,x13651)))
% 1.62/1.67 [1367]~P4(f353(x13671,x13672))+P4(f353(x13671,a537))+P4(f353(x13671,f156(x13672,x13671)))
% 1.62/1.67 [1368]E(x13681,f237(a465,x13682))+E(f237(a465,f166(x13682,x13681)),x13681)+~P4(f353(f407(a488,x13682),x13681))
% 1.62/1.67 [1406]E(x14061,x14062)+P4(f353(f407(a488,x14062),x14061))+~P4(f353(f407(a468,x14062),x14061))
% 1.62/1.67 [1417]E(x14171,x14172)+P4(f353(f407(a488,x14171),x14172))+~P4(f353(f407(a468,x14171),x14172))
% 1.62/1.67 [1418]E(x14181,x14182)+P4(f354(f260(a484,x14182),x14181))+~P4(f354(f260(a471,x14182),x14181))
% 1.62/1.67 [1426]E(x14261,x14262)+P4(f354(f260(a484,x14261),x14262))+~P4(f354(f260(a471,x14261),x14262))
% 1.62/1.67 [1495]E(x14951,a537)+E(f237(a465,f162(x14951,x14952)),x14951)+~P4(f353(f407(a488,x14951),f237(a465,x14952)))
% 1.62/1.67 [1542]E(x15421,x15422)+~P4(f353(f407(a468,x15422),x15421))+~P4(f353(f407(a468,x15421),x15422))
% 1.62/1.67 [1548]E(x15481,x15482)+~P4(f354(f260(a471,x15482),x15481))+~P4(f354(f260(a471,x15481),x15482))
% 1.62/1.67 [1558]~P4(f354(a191,x15582))+~P4(f354(f408(a460,x15581),x15582))+P4(f353(f407(a488,x15581),f153(x15582)))
% 1.62/1.67 [1559]~P4(f354(a191,x15592))+~P4(f354(f408(a460,x15591),x15592))+P4(f353(f407(a468,x15591),f151(x15592)))
% 1.62/1.67 [1586]E(x15861,f237(a465,x15862))+~P4(f353(f407(a488,x15862),x15861))+P4(f353(f407(a488,x15862),f166(x15862,x15861)))
% 1.62/1.67 [1593]E(x15931,x15932)+P4(f353(f407(a488,x15931),x15932))+~P4(f353(f407(a488,x15931),f237(a465,x15932)))
% 1.62/1.67 [1594]P4(f255(f244(a469,x15942),x15941))+~P4(f255(f244(a469,x15941),x15942))+P4(f255(f244(a486,x15941),x15942))
% 1.62/1.67 [1597]P4(f248(f362(a470,x15972),x15971))+~P4(f248(f362(a470,x15971),x15972))+P4(f248(f362(a477,x15971),x15972))
% 1.62/1.67 [1599]P4(f354(f260(a471,x15992),x15991))+~P4(f354(f260(a471,x15991),x15992))+P4(f354(f260(a484,x15991),x15992))
% 1.62/1.67 [1601]P4(f335(f345(a476,x16012),x16011))+~P4(f335(f345(a476,x16011),x16012))+P4(f335(f345(a479,x16011),x16012))
% 1.62/1.67 [1604]E(x16041,f237(a465,x16042))+P4(f353(f407(a468,x16041),x16042))+~P4(f353(f407(a468,x16041),f237(a465,x16042)))
% 1.62/1.67 [1616]E(x16161,x16162)+~P4(f353(f407(a468,x16162),x16161))+~P4(f353(f407(a488,x16161),f237(a465,x16162)))
% 1.62/1.67 [1369]~P4(f353(x13691,x13692))+P4(f353(x13691,a537))+P4(f353(x13691,f237(a465,f170(x13691))))
% 1.62/1.67 [1549]E(f414(a534,x15491),x15492)+~E(f237(x15491,f237(x15492,f104(x15492,x15491))),f104(x15492,x15491))+~P4(f354(f418(x15491),a534))
% 1.62/1.67 [1571]~P4(f353(x15711,x15712))+P4(f353(x15711,a537))+P4(f353(f407(a488,f159(x15712,x15711)),x15712))
% 1.62/1.67 [1572]~P4(f353(x15721,x15722))+P4(f353(x15721,a537))+P4(f353(f407(a468,f156(x15722,x15721)),x15722))
% 1.62/1.67 [1608]E(f237(a465,x16081),x16082)+~P4(f353(f407(a488,x16081),x16082))+P4(f353(f407(a488,f237(a465,x16081)),x16082))
% 1.62/1.67 [1734]P4(f353(x17341,x17342))+~P4(f353(x17341,a537))+~P4(f353(x17341,f237(a465,f171(x17342,x17341))))
% 1.62/1.67 [1747]E(x17471,a537)+~P4(f353(f407(a488,x17471),f237(a465,x17472)))+P4(f353(f407(a488,f162(x17471,x17472)),x17472))
% 1.62/1.67 [1755]P3(f89(x17551,x17552))+P4(f187(f389(a9,x17552),x17551))+~P4(f347(f401(a436,x17552),f491(a10,f372(a59,a14))))
% 1.62/1.67 [1756]P3(f91(x17561,x17562))+P4(f187(f389(a9,x17562),x17561))+~P4(f347(f401(a436,x17562),f491(a10,f372(a59,a14))))
% 1.62/1.67 [1758]~E(f91(x17582,x17581),f89(x17582,x17581))+P4(f187(f389(a9,x17581),x17582))+~P4(f347(f401(a436,x17581),f491(a10,f372(a59,a14))))
% 1.62/1.67 [1762]P4(f353(f407(a488,a537),x17622))+P4(f353(f407(a488,a537),x17621))+~P4(f353(f407(a488,a537),f237(f411(a512,x17622),x17621)))
% 1.62/1.67 [1809]P4(f187(f389(a9,x18091),x18092))+~P4(f347(f401(a436,x18091),f491(a10,f372(a59,a14))))+P4(f293(f373(a426,f90(x18092,x18091)),a10))
% 1.62/1.67 [1823]~P6(x18232)+P4(f301(a4,x18231))+P4(f302(f208(a440,f195(f197(a524,f78(x18231)),f81(x18231))),f204(f79(x18231),x18232)))
% 1.62/1.67 [1936]P4(f187(f389(a9,x19361),x19362))+~P4(f347(f401(a436,x19361),f491(a10,f372(a59,a14))))+P4(f302(f208(a440,f195(f197(a524,f89(x19362,x19361)),f91(x19362,x19361))),f204(f90(x19362,x19361),x19362)))
% 1.62/1.67 [1984]P4(f187(f389(a9,x19841),x19842))+~P4(f347(f401(a436,x19841),f491(a10,f372(a59,a14))))+~P4(f302(f208(a440,f195(f197(a524,f89(x19842,x19841)),f91(x19842,x19841))),f312(x19841,f90(x19842,x19841))))
% 1.62/1.67 [1759]~P4(f353(x17591,x17592))+P4(f353(x17591,a537))+P4(f353(x17591,f237(f411(a512,f159(x17592,x17591)),a179)))
% 1.62/1.67 [1236]E(x12361,x12362)+~E(f237(x12363,x12361),f237(x12363,x12362))+~P4(f354(f418(x12363),a534))
% 1.62/1.67 [1309]~E(f237(x13091,x13093),x13092)+E(f237(f414(a534,x13091),x13092),x13093)+~P4(f354(f418(x13091),a534))
% 1.62/1.67 [1405]P4(f353(x14051,x14052))+~P4(f353(x14053,x14052))+~P4(f354(f260(a471,x14053),x14051))
% 1.62/1.67 [1483]P6(f149(x14831,x14832,x14833))+P4(f248(f416(x14831),x14833))+~P4(f248(f416(x14832),x14833))
% 1.62/1.67 [1484]P6(f149(x14841,x14842,x14843))+P4(f248(f416(x14842),x14843))+~P4(f248(f416(x14841),x14843))
% 1.62/1.67 [1493]P4(f248(f416(x14931),x14932))+~P4(f248(f416(x14931),x14933))+~P4(f248(f362(a470,x14932),x14933))
% 1.62/1.67 [1494]P4(f354(f418(x14941),x14942))+~P4(f354(f418(x14941),x14943))+~P4(f354(f260(a471,x14942),x14943))
% 1.62/1.67 [1570]E(f237(f414(x15701,x15702),f237(x15702,x15703)),x15703)+~P4(f354(f418(x15702),x15701))+~P4(f354(f408(a460,x15703),x15701))
% 1.62/1.67 [1587]E(f312(x15871,x15872),f204(x15872,x15873))+~P4(f187(f389(a9,x15871),x15873))+~P4(f293(f373(a426,x15872),a10))
% 1.62/1.67 [1588]~E(x15881,f237(a465,x15883))+~P4(f353(f407(a488,x15883),x15882))+P4(f353(f407(a488,x15881),f237(a465,x15882)))
% 1.62/1.67 [1619]~P4(f255(f244(a469,x16191),x16193))+P4(f255(f244(a486,x16191),x16192))+~P4(f255(f244(a486,x16193),x16192))
% 1.62/1.67 [1620]~P4(f255(f244(a486,x16201),x16203))+~P4(f255(f244(a469,x16203),x16202))+P4(f255(f244(a486,x16201),x16202))
% 1.62/1.67 [1622]~P4(f255(f244(a469,x16221),x16223))+P4(f255(f244(a469,x16221),x16222))+~P4(f255(f244(a469,x16223),x16222))
% 1.62/1.67 [1626]~P4(f353(f407(a488,x16261),x16263))+P4(f353(f407(a488,x16261),x16262))+~P4(f353(f407(a488,x16263),x16262))
% 1.62/1.67 [1627]~P4(f353(f407(a468,x16271),x16273))+P4(f353(f407(a488,x16271),x16272))+~P4(f353(f407(a488,x16273),x16272))
% 1.62/1.67 [1628]~P4(f353(f407(a488,x16281),x16283))+~P4(f353(f407(a468,x16283),x16282))+P4(f353(f407(a488,x16281),x16282))
% 1.62/1.67 [1631]~P4(f353(f407(a468,x16311),x16313))+P4(f353(f407(a468,x16311),x16312))+~P4(f353(f407(a468,x16313),x16312))
% 1.62/1.67 [1632]~P4(f248(f210(a434,x16321),x16323))+~P4(f248(f362(a477,x16323),x16322))+P4(f248(f210(a434,x16321),x16322))
% 1.62/1.67 [1636]~P4(f248(f210(a434,x16361),x16363))+~P4(f248(f362(a470,x16363),x16362))+P4(f248(f210(a434,x16361),x16362))
% 1.62/1.67 [1641]~P4(f248(f362(a477,x16411),x16413))+P4(f248(f362(a477,x16411),x16412))+~P4(f248(f362(a477,x16413),x16412))
% 1.62/1.67 [1643]~P4(f248(f362(a470,x16431),x16433))+P4(f248(f362(a477,x16431),x16432))+~P4(f248(f362(a477,x16433),x16432))
% 1.62/1.67 [1645]~P4(f248(f362(a477,x16451),x16453))+~P4(f248(f362(a470,x16453),x16452))+P4(f248(f362(a477,x16451),x16452))
% 1.62/1.67 [1649]~P4(f341(f241(a438,x16491),x16493))+~P4(f341(f371(a481,x16493),x16492))+P4(f341(f241(a438,x16491),x16492))
% 1.62/1.67 [1650]~P4(f341(f241(a438,x16501),x16503))+~P4(f341(f371(a487,x16503),x16502))+P4(f341(f241(a438,x16501),x16502))
% 1.62/1.67 [1651]~P4(f354(f408(a460,x16511),x16513))+~P4(f354(f260(a484,x16513),x16512))+P4(f354(f408(a460,x16511),x16512))
% 1.62/1.67 [1655]~P4(f354(f408(a460,x16551),x16553))+~P4(f354(f260(a471,x16553),x16552))+P4(f354(f408(a460,x16551),x16552))
% 1.62/1.67 [1660]~P4(f354(f260(a484,x16601),x16603))+P4(f354(f260(a484,x16601),x16602))+~P4(f354(f260(a484,x16603),x16602))
% 1.62/1.67 [1662]~P4(f354(f260(a471,x16621),x16623))+P4(f354(f260(a484,x16621),x16622))+~P4(f354(f260(a484,x16623),x16622))
% 1.62/1.67 [1664]~P4(f354(f260(a484,x16641),x16643))+~P4(f354(f260(a471,x16643),x16642))+P4(f354(f260(a484,x16641),x16642))
% 1.62/1.67 [1667]~P4(f354(f260(a471,x16671),x16673))+P4(f354(f260(a471,x16671),x16672))+~P4(f354(f260(a471,x16673),x16672))
% 1.62/1.67 [1668]~P4(f335(f232(a439,x16681),x16683))+~P4(f335(f345(a479,x16683),x16682))+P4(f335(f232(a439,x16681),x16682))
% 1.62/1.67 [1672]~P4(f335(f232(a439,x16721),x16723))+~P4(f335(f345(a476,x16723),x16722))+P4(f335(f232(a439,x16721),x16722))
% 1.62/1.67 [1677]~P4(f335(f345(a479,x16771),x16773))+P4(f335(f345(a479,x16771),x16772))+~P4(f335(f345(a479,x16773),x16772))
% 1.62/1.67 [1679]~P4(f335(f345(a476,x16791),x16793))+P4(f335(f345(a479,x16791),x16792))+~P4(f335(f345(a479,x16793),x16792))
% 1.62/1.67 [1681]~P4(f335(f345(a479,x16811),x16813))+~P4(f335(f345(a476,x16813),x16812))+P4(f335(f345(a479,x16811),x16812))
% 1.62/1.67 [1682]~P4(f293(f373(a426,x16821),x16823))+~P4(f293(f296(a480,x16823),x16822))+P4(f293(f373(a426,x16821),x16822))
% 1.62/1.67 [1686]~P4(f293(f373(a426,x16861),x16863))+~P4(f293(f296(a472,x16863),x16862))+P4(f293(f373(a426,x16861),x16862))
% 1.62/1.67 [1687]~P4(f347(f401(a436,x16871),x16873))+~P4(f347(f269(a474,x16873),x16872))+P4(f347(f401(a436,x16871),x16872))
% 1.62/1.67 [1691]~P4(f347(f401(a436,x16911),x16913))+~P4(f347(f269(a478,x16913),x16912))+P4(f347(f401(a436,x16911),x16912))
% 1.62/1.67 [1692]~P4(f361(f281(a433,x16921),x16923))+~P4(f361(f306(a475,x16923),x16922))+P4(f361(f281(a433,x16921),x16922))
% 1.62/1.67 [1696]~P4(f361(f281(a433,x16961),x16963))+~P4(f361(f306(a473,x16963),x16962))+P4(f361(f281(a433,x16961),x16962))
% 1.62/1.67 [1697]~P4(f302(f208(a440,x16971),x16973))+P4(f302(f208(a440,x16971),x16972))+~P4(f302(f283(a482,x16973),x16972))
% 1.62/1.67 [1701]~P4(f302(f208(a440,x17011),x17013))+P4(f302(f208(a440,x17011),x17012))+~P4(f302(f283(a483,x17013),x17012))
% 1.62/1.67 [1763]~E(f201(x17633,f149(x17631,x17633,x17632)),f201(x17631,f149(x17631,x17633,x17632)))+~P4(f248(f416(x17633),x17632))+P4(f248(f416(x17631),x17632))
% 1.62/1.67 [1764]~E(f201(x17643,f149(x17643,x17641,x17642)),f201(x17641,f149(x17643,x17641,x17642)))+~P4(f248(f416(x17643),x17642))+P4(f248(f416(x17641),x17642))
% 1.62/1.67 [1765]~E(f237(x17653,f150(x17651,x17653,x17652)),f237(x17651,f150(x17651,x17653,x17652)))+~P4(f354(f418(x17653),x17652))+P4(f354(f418(x17651),x17652))
% 1.62/1.67 [1766]~E(f237(x17663,f150(x17663,x17661,x17662)),f237(x17661,f150(x17663,x17661,x17662)))+~P4(f354(f418(x17663),x17662))+P4(f354(f418(x17661),x17662))
% 1.62/1.67 [1906]P4(f353(f407(a488,f126(x19062,x19063,x19061)),f129(x19062,x19063,x19061)))+~P4(f353(f407(a468,x19062),x19063))+P4(f353(f407(a468,f237(x19061,x19062)),f237(x19061,x19063)))
% 1.62/1.67 [1750]~P4(f353(f407(a488,x17501),x17503))+~P4(f353(f407(a488,x17503),x17502))+P4(f353(f407(a488,f237(a465,x17501)),x17502))
% 1.62/1.67 [1819]~P4(f248(f416(x18193),x18192))+P4(f248(f416(x18191),x18192))+P4(f248(f210(a434,f149(x18191,x18193,x18192)),x18192))
% 1.62/1.67 [1820]~P4(f248(f416(x18203),x18202))+P4(f248(f416(x18201),x18202))+P4(f248(f210(a434,f149(x18203,x18201,x18202)),x18202))
% 1.62/1.67 [1821]~P4(f354(f418(x18213),x18212))+P4(f354(f418(x18211),x18212))+P4(f354(f408(a460,f150(x18211,x18213,x18212)),x18212))
% 1.62/1.67 [1822]~P4(f354(f418(x18223),x18222))+P4(f354(f418(x18221),x18222))+P4(f354(f408(a460,f150(x18223,x18221,x18222)),x18222))
% 1.62/1.67 [2013]~P4(f353(f407(a468,x20132),x20133))+P4(f353(f407(a468,f237(x20131,x20132)),f237(x20131,x20133)))+~P4(f353(f407(a488,f237(x20131,f126(x20132,x20133,x20131))),f237(x20131,f129(x20132,x20133,x20131))))
% 1.62/1.67 [1916]~P4(f361(f281(a433,x19161),a14))+~P4(f302(f208(a440,f195(f197(a524,x19163),x19162)),x19161))+~P4(f302(f208(a440,f195(f197(a524,x19162),x19163)),x19161))
% 1.62/1.67 [1615]~E(f237(f411(a512,x16153),x16152),f237(f411(a512,x16151),x16154))+~P4(f353(f407(a488,x16153),x16154))+P4(f353(f407(a488,x16151),x16152))
% 1.62/1.67 [1770]~P4(f286(f360(a441,x17701),f513(x17704,x17703)))+P4(f248(f210(a434,f409(x17701,x17702)),f404(x17703,x17702)))+~P4(f354(f408(a460,x17702),x17704))
% 1.62/1.67 [1771]~P4(f400(f272(a437,x17711),f514(x17714,x17713)))+P4(f248(f210(a434,f348(x17711,x17712)),f292(x17713,x17712)))+~P4(f293(f373(a426,x17712),x17714))
% 1.62/1.67 [1772]~P4(f385(f387(a443,x17721),f498(x17724,x17723)))+P4(f248(f210(a434,f334(x17721,x17722)),f389(x17723,x17722)))+~P4(f347(f401(a436,x17722),x17724))
% 1.62/1.67 [1773]~P4(f253(f337(a444,x17731),f516(x17734,x17733)))+P4(f248(f210(a434,f279(x17731,x17732)),f352(x17733,x17732)))+~P4(f361(f281(a433,x17732),x17734))
% 1.62/1.67 [1774]~P4(f388(f290(a445,x17741),f499(x17744,x17743)))+P4(f248(f210(a434,f225(x17741,x17742)),f234(x17743,x17742)))+~P4(f302(f208(a440,x17742),x17744))
% 1.62/1.67 [1775]~P4(f303(f326(a461,x17751),f520(x17754,x17753)))+P4(f341(f241(a438,f353(x17751,x17752)),f405(x17753,x17752)))+~P4(f354(f408(a460,x17752),x17754))
% 1.62/1.67 [1776]~P4(f268(f284(a435,x17761),f502(x17764,x17763)))+P4(f341(f241(a438,f249(x17761,x17762)),f367(x17763,x17762)))+~P4(f293(f373(a426,x17762),x17764))
% 1.62/1.67 [1777]~P4(f386(f339(a449,x17771),f515(x17774,x17773)))+P4(f341(f241(a438,f301(x17771,x17772)),f382(x17773,x17772)))+~P4(f347(f401(a436,x17772),x17774))
% 1.62/1.67 [1778]~P4(f358(f274(a446,x17781),f517(x17784,x17783)))+P4(f341(f241(a438,f302(x17781,x17782)),f395(x17783,x17782)))+~P4(f361(f281(a433,x17782),x17784))
% 1.62/1.67 [1780]~P4(f361(f281(a433,x17801),f492(x17804,x17803)))+P4(f341(f241(a438,f226(x17801,x17802)),f209(x17803,x17802)))+~P4(f302(f208(a440,x17802),x17804))
% 1.62/1.67 [1781]~P4(f357(f391(a455,x17811),f493(x17814,x17813)))+P4(f354(f408(a460,f201(x17811,x17812)),f194(x17813,x17812)))+~P4(f248(f210(a434,x17812),x17814))
% 1.62/1.67 [1782]~P4(f368(f295(a462,x17821),f503(x17824,x17823)))+P4(f354(f408(a460,f259(x17821,x17822)),f186(x17823,x17822)))+~P4(f341(f241(a438,x17822),x17824))
% 1.62/1.67 [1783]~P4(f342(f327(a456,x17831),f504(x17834,x17833)))+P4(f354(f408(a460,f233(x17831,x17832)),f231(x17833,x17832)))+~P4(f335(f232(a439,x17832),x17834))
% 1.62/1.67 [1784]~P4(f359(f394(a427,x17841),f500(x17844,x17843)))+P4(f335(f232(a439,f236(x17841,x17842)),f235(x17843,x17842)))+~P4(f302(f208(a440,x17842),x17844))
% 1.62/1.67 [1785]~P4(f252(f275(a457,x17851),f519(x17854,x17853)))+P4(f335(f232(a439,f392(x17851,x17852)),f254(x17853,x17852)))+~P4(f293(f373(a426,x17852),x17854))
% 1.62/1.67 [1786]~P4(f402(f328(a447,x17861),f511(x17864,x17863)))+P4(f335(f232(a439,f310(x17861,x17862)),f315(x17863,x17862)))+~P4(f347(f401(a436,x17862),x17864))
% 1.62/1.67 [1787]~P4(f288(f381(a450,x17871),f510(x17874,x17873)))+P4(f335(f232(a439,f304(x17871,x17872)),f377(x17873,x17872)))+~P4(f361(f281(a433,x17872),x17874))
% 1.62/1.67 [1788]~P4(f355(f300(a428,x17881),f521(x17884,x17883)))+P4(f335(f232(a439,f410(x17881,x17882)),f406(x17883,x17882)))+~P4(f354(f408(a460,x17882),x17884))
% 1.62/1.67 [1789]~P4(f321(f317(a429,x17891),f494(x17894,x17893)))+P4(f293(f373(a426,f221(x17891,x17892)),f220(x17893,x17892)))+~P4(f248(f210(a434,x17892),x17894))
% 1.62/1.67 [1790]~P4(f369(f298(a430,x17901),f506(x17904,x17903)))+P4(f293(f373(a426,f257(x17901,x17902)),f240(x17903,x17902)))+~P4(f341(f241(a438,x17902),x17904))
% 1.62/1.67 [1791]~P4(f384(f396(a431,x17911),f495(x17914,x17913)))+P4(f293(f373(a426,f223(x17911,x17912)),f229(x17913,x17912)))+~P4(f335(f232(a439,x17912),x17914))
% 1.62/1.67 [1792]~P4(f323(f265(a453,x17921),f496(x17924,x17923)))+P4(f347(f401(a436,f200(x17921,x17922)),f222(x17923,x17922)))+~P4(f248(f210(a434,x17922),x17924))
% 1.62/1.67 [1793]~P4(f378(f344(a458,x17931),f509(x17934,x17933)))+P4(f347(f401(a436,f245(x17931,x17932)),f243(x17933,x17932)))+~P4(f341(f241(a438,x17932),x17934))
% 1.62/1.67 [1794]~P4(f291(f374(a442,x17941),f505(x17944,x17943)))+P4(f347(f401(a436,f224(x17941,x17942)),f207(x17943,x17942)))+~P4(f335(f232(a439,x17942),x17944))
% 1.62/1.67 [1796]~P4(f293(f373(a426,x17961),f467(x17964,x17963)))+P4(f361(f281(a433,f204(x17961,x17962)),f219(x17963,x17962)))+~P4(f248(f210(a434,x17962),x17964))
% 1.62/1.67 [1797]~P4(f383(f399(a432,x17971),f507(x17974,x17973)))+P4(f361(f281(a433,f247(x17971,x17972)),f246(x17973,x17972)))+~P4(f341(f241(a438,x17972),x17974))
% 1.62/1.67 [1798]~P4(f324(f314(a459,x17981),f501(x17984,x17983)))+P4(f361(f281(a433,f230(x17981,x17982)),f227(x17983,x17982)))+~P4(f335(f232(a439,x17982),x17984))
% 1.62/1.67 [1800]~P4(f347(f401(a436,x18001),f491(x18004,x18003)))+P4(f361(f281(a433,f312(x18001,x18002)),f311(x18003,x18002)))+~P4(f293(f373(a426,x18002),x18004))
% 1.62/1.67 [1801]~P4(f250(f277(a448,x18011),f490(x18014,x18013)))+P4(f302(f208(a440,f216(x18011,x18012)),f204(x18013,x18012)))+~P4(f248(f210(a434,x18012),x18014))
% 1.62/1.67 [1802]~P4(f333(f356(a451,x18021),f508(x18024,x18023)))+P4(f302(f208(a440,f242(x18021,x18022)),f247(x18023,x18022)))+~P4(f341(f241(a438,x18022),x18024))
% 1.62/1.67 [1803]~P4(f251(f332(a454,x18031),f497(x18034,x18033)))+P4(f302(f208(a440,f228(x18031,x18032)),f230(x18033,x18032)))+~P4(f335(f232(a439,x18032),x18034))
% 1.62/1.67 [1879]P6(f141(x18791,x18792,x18793,x18794))+P4(f293(f373(a426,x18792),f467(x18794,x18791)))+~P4(f293(f373(a426,x18793),f467(x18794,x18791)))
% 1.62/1.67 [1880]P6(f141(x18801,x18802,x18803,x18804))+P4(f293(f373(a426,x18803),f467(x18804,x18801)))+~P4(f293(f373(a426,x18802),f467(x18804,x18801)))
% 1.62/1.67 [1969]~E(f204(x19694,f141(x19693,x19691,x19694,x19692)),f204(x19691,f141(x19693,x19691,x19694,x19692)))+P4(f293(f373(a426,x19691),f467(x19692,x19693)))+~P4(f293(f373(a426,x19694),f467(x19692,x19693)))
% 1.62/1.67 [1970]~E(f204(x19704,f141(x19703,x19704,x19701,x19702)),f204(x19701,f141(x19703,x19704,x19701,x19702)))+P4(f293(f373(a426,x19701),f467(x19702,x19703)))+~P4(f293(f373(a426,x19704),f467(x19702,x19703)))
% 1.62/1.67 [1971]~E(f312(x19714,f143(x19713,x19711,x19714,x19712)),f312(x19711,f143(x19713,x19711,x19714,x19712)))+P4(f347(f401(a436,x19711),f491(x19712,x19713)))+~P4(f347(f401(a436,x19714),f491(x19712,x19713)))
% 1.62/1.67 [1972]~E(f312(x19724,f143(x19723,x19724,x19721,x19722)),f312(x19721,f143(x19723,x19724,x19721,x19722)))+P4(f347(f401(a436,x19721),f491(x19722,x19723)))+~P4(f347(f401(a436,x19724),f491(x19722,x19723)))
% 1.62/1.67 [1843]~P4(f302(f208(a440,x18432),x18434))+P4(f341(f241(a438,f226(x18431,x18432)),x18433))+~P4(f361(f281(a433,x18431),f492(x18434,f379(a54,x18433))))
% 1.62/1.67 [1844]~P4(f248(f210(a434,x18442),x18444))+P4(f361(f281(a433,f204(x18441,x18442)),x18443))+~P4(f293(f373(a426,x18441),f467(x18444,f305(a58,x18443))))
% 1.62/1.67 [1845]~P4(f293(f373(a426,x18452),x18454))+P4(f361(f281(a433,f312(x18451,x18452)),x18453))+~P4(f347(f401(a436,x18451),f491(x18454,f372(a59,x18453))))
% 1.62/1.67 [1862]~P4(f353(f407(a488,x18622),x18624))+~P4(f353(f407(a488,x18621),x18623))+P4(f353(f407(a488,f237(f411(a512,x18621),x18622)),f237(f411(a512,x18623),x18624)))
% 1.62/1.67 [1863]~P4(f353(f407(a488,x18632),x18634))+~P4(f353(f407(a468,x18631),x18633))+P4(f353(f407(a488,f237(f411(a512,x18631),x18632)),f237(f411(a512,x18633),x18634)))
% 1.62/1.67 [1864]~P4(f353(f407(a488,x18641),x18643))+~P4(f353(f407(a468,x18642),x18644))+P4(f353(f407(a488,f237(f411(a512,x18641),x18642)),f237(f411(a512,x18643),x18644)))
% 1.62/1.67 [1866]~P4(f353(f407(a468,x18662),x18664))+~P4(f353(f407(a468,x18661),x18663))+P4(f353(f407(a468,f237(f411(a512,x18661),x18662)),f237(f411(a512,x18663),x18664)))
% 1.62/1.67 [1989]P4(f293(f373(a426,x19891),f467(x19892,x19893)))+~P4(f293(f373(a426,x19894),f467(x19892,x19893)))+P4(f248(f210(a434,f141(x19893,x19891,x19894,x19892)),x19892))
% 1.62/1.67 [1990]P4(f293(f373(a426,x19901),f467(x19902,x19903)))+~P4(f293(f373(a426,x19904),f467(x19902,x19903)))+P4(f248(f210(a434,f141(x19903,x19904,x19901,x19902)),x19902))
% 1.62/1.67 [1991]P4(f347(f401(a436,x19911),f491(x19912,x19913)))+~P4(f347(f401(a436,x19914),f491(x19912,x19913)))+P4(f293(f373(a426,f143(x19913,x19911,x19914,x19912)),x19912))
% 1.62/1.67 [1992]P4(f347(f401(a436,x19921),f491(x19922,x19923)))+~P4(f347(f401(a436,x19924),f491(x19922,x19923)))+P4(f293(f373(a426,f143(x19923,x19924,x19921,x19922)),x19922))
% 1.62/1.67 [1993]P4(f361(f281(a433,x19931),f492(x19932,x19933)))+~P4(f361(f281(a433,x19934),f492(x19932,x19933)))+P4(f302(f208(a440,f142(x19933,x19931,x19934,x19932)),x19932))
% 1.62/1.67 [1994]P4(f361(f281(a433,x19941),f492(x19942,x19943)))+~P4(f361(f281(a433,x19944),f492(x19942,x19943)))+P4(f302(f208(a440,f142(x19943,x19944,x19941,x19942)),x19942))
% 1.62/1.67 [1923]E(f201(a188,x19231),a464)+P4(f353(f407(a488,f201(a188,x19231)),a464))+P4(f302(f208(a440,f195(f197(a524,a73),a19)),f199(f261(a12,f204(a489,x19231)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a16),a5)),a425))
% 1.62/1.67 [1924]E(f201(a188,x19241),a464)+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x19241)))+P4(f353(f407(a488,f201(a188,x19241)),a464))+P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a12,f204(a489,x19241)),a73)))
% 1.62/1.67 [1939]E(f201(a188,x19391),a464)+P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x19391)))+P4(f353(f407(a488,f201(a188,x19391)),a464))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a12,f204(a489,x19391)),a73)))
% 1.62/1.67 [1965]~P4(f353(f407(a488,f201(a188,x19651)),f237(f411(a512,a464),a179)))+~P4(f353(f407(a488,f201(a188,x19651)),a464))+P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a11,f204(a489,x19651)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a5),a16)),a185))
% 1.62/1.67 [1996]E(f201(a188,x19961),a464)+P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x19961)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a11,f204(a489,x19961)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a12,f204(a489,x19961)),a73)))
% 1.62/1.67 [1947]~E(f201(a188,x19471),a464)+P4(f353(f407(a488,f201(a188,x19471)),a464))+P4(f302(f208(a440,f195(f197(a524,a73),a19)),f199(f205(f380(a8,f204(a489,x19471)),a17),a73)))+~P4(f302(f208(a440,f195(f197(a524,a16),a5)),a425))
% 1.62/1.67 [1949]~E(f201(a188,x19491),a464)+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x19491)))+P4(f353(f407(a488,f201(a188,x19491)),a464))+P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f205(f380(a8,f204(a489,x19491)),a17),a73)))
% 1.62/1.67 [1982]~E(f201(a188,x19821),a464)+P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x19821)))+P4(f353(f407(a488,f201(a188,x19821)),a464))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f205(f380(a8,f204(a489,x19821)),a17),a73)))
% 1.62/1.67 [2015]~E(f201(a188,x20151),a464)+P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x20151)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a11,f204(a489,x20151)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f205(f380(a8,f204(a489,x20151)),a17),a73)))
% 1.62/1.67 [2019]P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x20191)))+P4(f353(f407(a488,f201(a188,x20191)),a464))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a12,f204(a489,x20191)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f205(f380(a8,f204(a489,x20191)),a17),a73)))
% 1.62/1.67 [2033]P4(f302(f208(a440,f195(f197(a524,a17),a19)),f204(a489,x20331)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a11,f204(a489,x20331)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f261(a12,f204(a489,x20331)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a19)),f199(f205(f380(a8,f204(a489,x20331)),a17),a73)))
% 1.62/1.67 [1144]~P3(x11442)+~P3(x11441)+E(x11441,x11442)+P8(f85(x11441,x11442))
% 1.62/1.67 [1145]~P8(x11452)+~P8(x11451)+E(x11451,x11452)+P3(f86(x11451,x11452))
% 1.62/1.67 [1146]~P8(x11462)+~P8(x11461)+E(x11461,x11462)+P3(f88(x11461,x11462))
% 1.62/1.67 [1227]~E(x12271,x12272)+~P9(x12272)+~P9(x12271)+P4(f248(f362(a470,x12271),x12272))
% 1.62/1.67 [1229]~E(x12291,x12292)+~P10(x12292)+~P10(x12291)+P4(f335(f345(a476,x12291),x12292))
% 1.62/1.67 [1443]~P4(x14432)+P4(x14431)+~P4(f255(f244(a469,x14431),x14432))+P4(f255(f244(a486,x14431),x14432))
% 1.62/1.67 [1450]~P4(x14502)+P4(x14501)+~P4(f255(f244(a469,x14502),x14501))+P4(f255(f244(a486,x14502),x14501))
% 1.62/1.67 [1567]P4(x15671)+~P4(x15672)+~P4(f255(f244(a469,x15671),x15672))+~P4(f255(f244(a469,x15672),x15671))
% 1.62/1.67 [1757]~P3(x17572)+~P3(x17571)+E(x17571,x17572)+P4(f302(f208(a440,f195(f197(a524,x17571),x17572)),f85(x17571,x17572)))
% 1.62/1.67 [1373]~P3(x13732)+~P3(x13731)+E(x13731,x13732)+P4(f361(f281(a433,f85(x13731,x13732)),a14))
% 1.62/1.67 [1557]~P7(x15572)+E(f413(a529,x15571),x15572)+~E(f201(x15571,f409(x15572,f106(x15572,x15571))),f106(x15572,x15571))+~P4(f248(f416(x15571),a529))
% 1.62/1.67 [1937]~P6(x19372)+P4(f301(a3,x19371))+~P4(f302(f208(a440,f195(f197(a524,f74(x19371)),f77(x19371))),f204(f76(x19371),x19372)))+P4(f302(f208(a440,f195(f197(a524,f74(x19371)),f77(x19371))),f204(f75(x19371),x19372)))
% 1.62/1.67 [1938]~P6(x19382)+P4(f301(a3,x19381))+~P4(f302(f208(a440,f195(f197(a524,f74(x19381)),f77(x19381))),f204(f75(x19381),x19382)))+P4(f302(f208(a440,f195(f197(a524,f74(x19381)),f77(x19381))),f204(f76(x19381),x19382)))
% 1.62/1.67 [1326]~P8(x13261)+~P3(x13263)+~P3(x13262)+P8(f13(x13261,x13262,x13263))
% 1.62/1.67 [1327]~P8(x13271)+~P3(x13273)+~P3(x13272)+P5(f417(x13271,x13272,x13273))
% 1.62/1.67 [1325]~P6(x13253)+~E(f201(x13251,x13253),x13252)+E(f409(f413(a529,x13251),x13252),x13253)+~P4(f248(f416(x13251),a529))
% 1.62/1.67 [1430]P4(x14301)+P4(x14302)+~P4(f255(f244(a469,x14303),x14301))+P4(f255(f244(a469,x14303),x14302))
% 1.62/1.67 [1432]P4(x14321)+P4(x14322)+~P4(f255(f244(a469,x14321),x14323))+P4(f255(f244(a469,x14322),x14323))
% 1.62/1.67 [1453]~P4(x14532)+~P4(x14533)+~P4(f255(f244(a469,x14531),x14533))+P4(f255(f244(a469,x14531),x14532))
% 1.62/1.67 [1455]~P4(x14551)+~P4(x14553)+~P4(f255(f244(a469,x14553),x14552))+P4(f255(f244(a469,x14551),x14552))
% 1.62/1.67 [1585]~P6(x15853)+E(f409(f413(x15851,x15852),f201(x15852,x15853)),x15853)+~P4(f248(f416(x15852),x15851))+~P4(f248(f210(a434,x15853),x15851))
% 1.62/1.67 [1704]~P4(f353(x17041,x17042))+~P4(f353(x17041,x17043))+P4(f353(x17041,a537))+~P4(f353(f407(a488,x17043),f156(x17042,x17041)))
% 1.62/1.67 [1705]~P4(f353(x17051,x17052))+~P4(f353(x17051,x17053))+P4(f353(x17051,a537))+~P4(f353(f407(a468,x17053),f159(x17052,x17051)))
% 1.62/1.67 [1810]P4(f353(x18101,x18102))+~P4(f353(x18101,x18103))+~P4(f353(x18101,f164(x18101,x18102,x18103)))+~P4(f353(f407(a468,x18102),x18103))
% 1.62/1.67 [1573]~P3(x15733)+~P3(x15732)+~P4(f226(x15731,f144(x15731)))+P4(f226(x15731,f195(f197(a524,x15732),x15733)))
% 1.62/1.67 [1804]~P4(f354(a191,x18042))+~P4(f248(f416(x18043),x18041))+P4(f353(f407(a468,f182(x18041)),f189(x18042)))+~P4(f357(f391(a455,x18043),f493(x18041,f289(a55,x18042))))
% 1.62/1.67 [1805]~P4(f361(a183,x18052))+~P4(f248(f420(x18053),x18051))+P4(f353(f407(a468,f182(x18051)),f184(x18052)))+~P4(f293(f373(a426,x18053),f467(x18051,f305(a58,x18052))))
% 1.62/1.67 [1806]~P4(f354(a191,x18062))+~P4(f354(f418(x18063),x18061))+P4(f353(f407(a468,f189(x18061)),f189(x18062)))+~P4(f287(f338(a463,x18063),f522(x18061,f299(a61,x18062))))
% 1.62/1.67 [1807]~P4(f341(a192,x18072))+~P4(f302(f419(x18073),x18071))+P4(f353(f407(a468,f176(x18071)),f190(x18072)))+~P4(f361(f281(a433,x18073),f492(x18071,f379(a54,x18072))))
% 1.62/1.67 [1808]~P4(f361(a183,x18082))+~P4(f293(f421(x18083),x18081))+P4(f353(f407(a468,f177(x18081)),f184(x18082)))+~P4(f347(f401(a436,x18083),f491(x18081,f372(a59,x18082))))
% 1.62/1.67 [1852]~P4(f353(x18521,x18523))+P4(f353(x18521,x18522))+~P4(f353(f407(a468,x18522),x18523))+P4(f353(x18521,f237(a465,f164(x18521,x18522,x18523))))
% 1.62/1.67 [1853]~P4(f353(x18531,x18533))+P4(f353(x18531,x18532))+~P4(f353(f407(a468,x18532),x18533))+P4(f353(f407(a488,f164(x18531,x18532,x18533)),x18533))
% 1.62/1.67 [1568]~E(f237(x15682,x15684),x15683)+E(f237(f414(x15681,x15682),x15683),x15684)+~P4(f354(f418(x15682),x15681))+~P4(f354(f408(a460,x15684),x15681))
% 1.62/1.67 [1987]P4(f226(x19871,f142(x19872,x19871,x19873,x19874)))+P4(f226(x19873,f142(x19872,x19871,x19873,x19874)))+P4(f361(f281(a433,x19871),f492(x19874,x19872)))+~P4(f361(f281(a433,x19873),f492(x19874,x19872)))
% 1.62/1.67 [1988]P4(f226(x19881,f142(x19882,x19883,x19881,x19884)))+P4(f226(x19883,f142(x19882,x19883,x19881,x19884)))+P4(f361(f281(a433,x19881),f492(x19884,x19882)))+~P4(f361(f281(a433,x19883),f492(x19884,x19882)))
% 1.62/1.67 [2025]~P4(f226(x20251,f142(x20253,x20251,x20254,x20252)))+~P4(f226(x20254,f142(x20253,x20251,x20254,x20252)))+P4(f361(f281(a433,x20251),f492(x20252,x20253)))+~P4(f361(f281(a433,x20254),f492(x20252,x20253)))
% 1.62/1.67 [2026]~P4(f226(x20261,f142(x20263,x20264,x20261,x20262)))+~P4(f226(x20264,f142(x20263,x20264,x20261,x20262)))+P4(f361(f281(a433,x20261),f492(x20262,x20263)))+~P4(f361(f281(a433,x20264),f492(x20262,x20263)))
% 1.62/1.67 [1950]E(f201(a188,x19501),a464)+~P4(f353(f407(a488,f201(a188,x19501)),f237(f411(a512,a464),a179)))+P4(f353(f407(a488,f201(a188,x19501)),a464))+P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a12,f204(a489,x19501)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a5),a16)),a185))
% 1.62/1.67 [1953]E(f201(a188,x19531),a464)+P4(f353(f407(a488,f201(a188,x19531)),f237(f411(a512,a464),a179)))+P4(f353(f407(a488,f201(a188,x19531)),a464))+P4(f302(f208(a440,f195(f197(a524,a5),a16)),a425))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a12,f204(a489,x19531)),a73)))
% 1.62/1.67 [2012]E(f201(a188,x20121),a464)+P4(f353(f407(a488,f201(a188,x20121)),f237(f411(a512,a464),a179)))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a11,f204(a489,x20121)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a12,f204(a489,x20121)),a73)))+P4(f302(f208(a440,f195(f197(a524,a5),a16)),a425))
% 1.62/1.67 [1983]~E(f201(a188,x19831),a464)+~P4(f353(f407(a488,f201(a188,x19831)),f237(f411(a512,a464),a179)))+P4(f353(f407(a488,f201(a188,x19831)),a464))+P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f205(f380(a8,f204(a489,x19831)),a17),a73)))+~P4(f302(f208(a440,f195(f197(a524,a5),a16)),a185))
% 1.62/1.67 [1995]~E(f201(a188,x19951),a464)+P4(f353(f407(a488,f201(a188,x19951)),f237(f411(a512,a464),a179)))+P4(f353(f407(a488,f201(a188,x19951)),a464))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f205(f380(a8,f204(a489,x19951)),a17),a73)))+P4(f302(f208(a440,f195(f197(a524,a5),a16)),a425))
% 1.62/1.67 [2021]~E(f201(a188,x20211),a464)+P4(f353(f407(a488,f201(a188,x20211)),f237(f411(a512,a464),a179)))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a11,f204(a489,x20211)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f205(f380(a8,f204(a489,x20211)),a17),a73)))+P4(f302(f208(a440,f195(f197(a524,a5),a16)),a425))
% 1.62/1.67 [2022]P4(f353(f407(a488,f201(a188,x20221)),f237(f411(a512,a464),a179)))+P4(f353(f407(a488,f201(a188,x20221)),a464))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a12,f204(a489,x20221)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f205(f380(a8,f204(a489,x20221)),a17),a73)))+P4(f302(f208(a440,f195(f197(a524,a5),a16)),a425))
% 1.62/1.67 [2036]P4(f353(f407(a488,f201(a188,x20361)),f237(f411(a512,a464),a179)))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a11,f204(a489,x20361)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f261(a12,f204(a489,x20361)),a73)))+~P4(f302(f208(a440,f195(f197(a524,a17),a73)),f199(f205(f380(a8,f204(a489,x20361)),a17),a73)))+P4(f302(f208(a440,f195(f197(a524,a5),a16)),a425))
% 1.62/1.67 [1465]~P9(x14652)+~P9(x14651)+E(x14651,x14652)+P4(f248(f362(a477,x14652),x14651))+~P4(f248(f362(a470,x14652),x14651))
% 1.62/1.67 [1473]~P9(x14732)+~P9(x14731)+E(x14731,x14732)+P4(f248(f362(a477,x14731),x14732))+~P4(f248(f362(a470,x14731),x14732))
% 1.62/1.67 [1474]~P10(x14742)+~P10(x14741)+E(x14741,x14742)+P4(f335(f345(a479,x14742),x14741))+~P4(f335(f345(a476,x14742),x14741))
% 1.62/1.67 [1482]~P10(x14822)+~P10(x14821)+E(x14821,x14822)+P4(f335(f345(a479,x14821),x14822))+~P4(f335(f345(a476,x14821),x14822))
% 1.62/1.67 [1974]~P8(x19742)+~P8(x19741)+E(x19741,x19742)+P4(f302(f208(a440,f195(f197(a524,f86(x19741,x19742)),f88(x19741,x19742))),x19741))+P4(f302(f208(a440,f195(f197(a524,f86(x19741,x19742)),f88(x19741,x19742))),x19742))
% 1.62/1.67 [2017]~P8(x20172)+~P8(x20171)+E(x20171,x20172)+~P4(f302(f208(a440,f195(f197(a524,f86(x20171,x20172)),f88(x20171,x20172))),x20171))+~P4(f302(f208(a440,f195(f197(a524,f86(x20171,x20172)),f88(x20171,x20172))),x20172))
% 1.62/1.67 [1274]~P6(x12742)+~P6(x12741)+E(x12741,x12742)+~E(f201(x12743,x12741),f201(x12743,x12742))+~P4(f248(f416(x12743),a529))
% 1.62/1.67 [1842]~P3(x18422)+~P3(x18421)+E(x18421,x18422)+~P4(f361(f281(a433,x18423),a14))+P4(f361(f281(a433,f13(x18423,x18421,x18422)),a14))
% 1.62/1.67 [1894]~P3(x18942)+~P3(x18941)+E(x18941,x18942)+~P4(f361(f281(a433,x18943),a14))+P4(f361(f281(a433,f199(f205(f380(a8,x18943),x18941),x18942)),a14))
% 1.62/1.67 [1584]~P6(x15844)+~E(f201(x15842,x15844),x15843)+E(f409(f413(x15841,x15842),x15843),x15844)+~P4(f248(f416(x15842),x15841))+~P4(f248(f210(a434,x15844),x15841))
% 1.62/1.67 [1733]E(x17331,x17332)+~E(f237(x17333,x17331),f237(x17333,x17332))+~P4(f354(f418(x17333),x17334))+~P4(f354(f408(a460,x17332),x17334))+~P4(f354(f408(a460,x17331),x17334))
% 1.62/1.67 [1875]~P3(x18752)+~P3(x18751)+~E(x18751,x18752)+~P3(x18753)+~P4(f302(f208(a440,f195(f197(a524,x18753),x18751)),f199(f261(a12,x18754),x18752)))
% 1.62/1.67 [1876]~P3(x18762)+~P3(x18761)+~E(x18761,x18762)+~P3(x18763)+~P4(f302(f208(a440,f195(f197(a524,x18761),x18763)),f199(f261(a11,x18764),x18762)))
% 1.62/1.67 [1881]~P3(x18812)+~P3(x18811)+E(x18811,x18812)+~P4(f361(f281(a433,x18813),a14))+P4(f302(f208(a440,f195(f197(a524,x18811),x18812)),x18813))+P4(f302(f208(a440,f195(f197(a524,x18812),x18811)),x18813))
% 1.62/1.67 [1338]~P3(x13384)+~P3(x13383)+~P3(x13382)+~P3(x13381)+E(x13381,x13382)+~E(f195(f197(a524,x13383),x13381),f195(f197(a524,x13384),x13382))
% 1.62/1.67 [1340]~P3(x13404)+~P3(x13403)+~P3(x13402)+~P3(x13401)+E(x13401,x13402)+~E(f195(f197(a524,x13401),x13403),f195(f197(a524,x13402),x13404))
% 1.62/1.67 [1907]~P3(x19074)+~P3(x19073)+P6(f80(x19071,x19072,x19073,x19074))+~P4(f301(a4,x19071))+P4(f302(f208(a440,f195(f197(a524,x19073),x19074)),f312(x19071,x19072)))+~P4(f293(f373(a426,x19072),a10))
% 1.62/1.67 [1877]~P3(x18772)+~P3(x18773)+~P3(x18771)+~E(x18771,x18772)+~E(x18771,x18773)+~P4(f302(f208(a440,f195(f197(a524,x18772),x18771)),f199(f261(a11,x18774),x18773)))
% 1.62/1.67 [1878]~P3(x18782)+~P3(x18783)+~P3(x18781)+~E(x18781,x18782)+~E(x18781,x18783)+~P4(f302(f208(a440,f195(f197(a524,x18781),x18782)),f199(f261(a12,x18784),x18783)))
% 1.62/1.67 [2037]~P3(x20372)+~P3(x20371)+~P4(f301(a4,x20373))+P4(f302(f208(a440,f195(f197(a524,x20371),x20372)),f312(x20373,x20374)))+~P4(f293(f373(a426,x20374),a10))+~P4(f302(f208(a440,f195(f197(a524,x20371),x20372)),f204(x20374,f80(x20373,x20374,x20371,x20372))))
% 1.62/1.67 [1912]~P3(x19123)+~P3(x19122)+~P3(x19121)+E(x19121,x19122)+~P4(f302(f208(a440,f195(f197(a524,x19123),x19121)),f199(f261(a11,x19124),x19122)))+P4(f302(f208(a440,f195(f197(a524,x19123),x19121)),x19124))
% 1.62/1.67 [1913]~P3(x19133)+~P3(x19132)+~P3(x19131)+E(x19131,x19132)+~P4(f302(f208(a440,f195(f197(a524,x19131),x19133)),f199(f261(a12,x19134),x19132)))+P4(f302(f208(a440,f195(f197(a524,x19131),x19133)),x19134))
% 1.62/1.67 [1746]~P6(x17462)+~P6(x17461)+E(x17461,x17462)+~E(f201(x17463,x17461),f201(x17463,x17462))+~P4(f248(f416(x17463),x17464))+~P4(f248(f210(a434,x17462),x17464))+~P4(f248(f210(a434,x17461),x17464))
% 1.62/1.67 [1767]~E(x17673,x17671)+~P3(x17672)+~P3(x17671)+~P3(x17673)+E(x17671,x17672)+E(x17673,x17672)+P4(f302(f208(a440,f195(f197(a524,x17672),x17673)),f199(f261(a11,x17674),x17671)))
% 1.62/1.67 [1768]~E(x17683,x17681)+~P3(x17682)+~P3(x17681)+~P3(x17683)+E(x17681,x17682)+E(x17683,x17682)+P4(f302(f208(a440,f195(f197(a524,x17683),x17682)),f199(f261(a12,x17684),x17681)))
% 1.62/1.67 [1895]E(f190(x18951),f176(x18952))+~P4(f341(a192,x18951))+~P4(f302(a180,x18952))+~P4(f341(f423(x18953),x18951))+~P4(f302(f419(x18954),x18952))+~P4(f333(f356(a451,x18953),f508(x18951,f366(a57,x18952))))+~P4(f361(f281(a433,x18954),f492(x18952,f379(a54,x18951))))
% 1.62/1.67 [1897]E(f184(x18971),f182(x18972))+~P4(f248(a181,x18972))+~P4(f361(a183,x18971))+~P4(f248(f420(x18973),x18972))+~P4(f361(f422(x18974),x18971))+~P4(f293(f373(a426,x18973),f467(x18972,f305(a58,x18971))))+~P4(f253(f337(a444,x18974),f516(x18971,f266(a56,x18972))))
% 1.62/1.67 [1899]E(f177(x18991),f184(x18992))+~P4(f293(a178,x18991))+~P4(f361(a183,x18992))+~P4(f293(f421(x18993),x18991))+~P4(f361(f424(x18994),x18992))+~P4(f347(f401(a436,x18993),f491(x18991,f372(a59,x18992))))+~P4(f280(f331(a452,x18994),f518(x18992,f346(a63,x18991))))
% 1.62/1.67 [1908]~P3(x19082)+~P3(x19081)+~P3(x19083)+E(x19081,x19082)+E(x19083,x19082)+P4(f302(f208(a440,f195(f197(a524,x19083),x19081)),f199(f261(a12,x19084),x19082)))+~P4(f302(f208(a440,f195(f197(a524,x19083),x19081)),x19084))
% 1.62/1.67 [1909]~P3(x19092)+~P3(x19091)+~P3(x19093)+E(x19091,x19092)+E(x19093,x19092)+P4(f302(f208(a440,f195(f197(a524,x19093),x19091)),f199(f261(a11,x19094),x19092)))+~P4(f302(f208(a440,f195(f197(a524,x19093),x19091)),x19094))
% 1.62/1.67 [1910]~P3(x19102)+~P3(x19101)+~P3(x19103)+E(x19101,x19102)+E(x19103,x19101)+P4(f302(f208(a440,f195(f197(a524,x19103),x19101)),f199(f261(a12,x19104),x19102)))+~P4(f302(f208(a440,f195(f197(a524,x19103),x19101)),x19104))
% 1.62/1.67 [1911]~P3(x19112)+~P3(x19113)+~P3(x19111)+E(x19111,x19112)+E(x19111,x19113)+P4(f302(f208(a440,f195(f197(a524,x19111),x19113)),f199(f261(a11,x19114),x19112)))+~P4(f302(f208(a440,f195(f197(a524,x19111),x19113)),x19114))
% 1.62/1.67 [1951]~P3(x19512)+~P3(x19511)+E(x19511,x19512)+P6(f130(x19513,x19514,x19511,x19512))+P4(f302(f208(a440,f195(f197(a524,x19512),x19511)),f312(a133,x19513)))+~P4(f302(f208(a440,f195(f197(a524,x19511),x19512)),f312(a133,x19514)))+~P4(f293(f373(a426,x19513),a10))+~P4(f293(f373(a426,x19514),a10))
% 1.62/1.67 [1952]~P3(x19522)+~P3(x19521)+E(x19521,x19522)+P6(f130(x19523,x19524,x19522,x19521))+P4(f302(f208(a440,f195(f197(a524,x19522),x19521)),f312(a133,x19524)))+~P4(f302(f208(a440,f195(f197(a524,x19521),x19522)),f312(a133,x19523)))+~P4(f293(f373(a426,x19524),a10))+~P4(f293(f373(a426,x19523),a10))
% 1.62/1.67 [1905]~P3(x19052)+~P3(x19051)+~P3(x19054)+~P3(x19053)+E(x19051,x19052)+~E(x19053,x19054)+~P4(f302(f208(a440,f195(f197(a524,x19053),x19054)),f13(x19055,x19051,x19052)))+~P4(f361(f281(a433,x19055),a14))
% 1.62/1.67 [2031]~P3(x20315)+~P3(x20314)+P6(f172(x20311,x20312,x20313,x20314,x20315))+~P4(f301(a3,x20311))+~P4(f302(f208(a440,f195(f197(a524,x20314),x20315)),f312(x20311,x20313)))+P4(f302(f208(a440,f195(f197(a524,x20314),x20315)),f312(x20311,x20312)))+~P4(f293(f373(a426,x20312),a10))+~P4(f293(f373(a426,x20313),a10))
% 1.62/1.67 [2032]~P3(x20325)+~P3(x20324)+P6(f172(x20321,x20322,x20323,x20324,x20325))+~P4(f301(a3,x20321))+~P4(f302(f208(a440,f195(f197(a524,x20324),x20325)),f312(x20321,x20322)))+P4(f302(f208(a440,f195(f197(a524,x20324),x20325)),f312(x20321,x20323)))+~P4(f293(f373(a426,x20323),a10))+~P4(f293(f373(a426,x20322),a10))
% 1.62/1.67 [1915]~P3(x19152)+~P3(x19151)+~P3(x19154)+~P3(x19153)+E(x19151,x19152)+~E(x19153,x19154)+~P4(f361(f281(a433,x19155),a14))+~P4(f302(f208(a440,f195(f197(a524,x19153),x19154)),f199(f205(f380(a8,x19155),x19151),x19152)))
% 1.62/1.67 [2040]~P3(x20402)+~P3(x20401)+E(x20401,x20402)+~P4(f302(f208(a440,f195(f197(a524,x20401),x20402)),f312(a133,x20404)))+P4(f302(f208(a440,f195(f197(a524,x20402),x20401)),f312(a133,x20403)))+~P4(f293(f373(a426,x20403),a10))+~P4(f293(f373(a426,x20404),a10))+P4(f302(f208(a440,f195(f197(a524,x20402),x20401)),f204(x20403,f130(x20403,x20404,x20401,x20402))))+P4(f302(f208(a440,f195(f197(a524,x20401),x20402)),f204(x20404,f130(x20403,x20404,x20401,x20402))))
% 1.62/1.67 [2041]~P3(x20412)+~P3(x20411)+E(x20411,x20412)+~P4(f302(f208(a440,f195(f197(a524,x20411),x20412)),f312(a133,x20414)))+P4(f302(f208(a440,f195(f197(a524,x20412),x20411)),f312(a133,x20413)))+~P4(f293(f373(a426,x20413),a10))+~P4(f293(f373(a426,x20414),a10))+P4(f302(f208(a440,f195(f197(a524,x20412),x20411)),f204(x20413,f130(x20414,x20413,x20412,x20411))))+P4(f302(f208(a440,f195(f197(a524,x20411),x20412)),f204(x20414,f130(x20414,x20413,x20412,x20411))))
% 1.62/1.67 [2042]~P3(x20422)+~P3(x20421)+E(x20421,x20422)+~P4(f302(f208(a440,f195(f197(a524,x20421),x20422)),f312(a133,x20424)))+P4(f302(f208(a440,f195(f197(a524,x20422),x20421)),f312(a133,x20423)))+~P4(f293(f373(a426,x20423),a10))+~P4(f293(f373(a426,x20424),a10))+~P4(f302(f208(a440,f195(f197(a524,x20422),x20421)),f204(x20423,f130(x20423,x20424,x20421,x20422))))+~P4(f302(f208(a440,f195(f197(a524,x20421),x20422)),f204(x20424,f130(x20423,x20424,x20421,x20422))))
% 1.62/1.67 [2043]~P3(x20432)+~P3(x20431)+E(x20431,x20432)+~P4(f302(f208(a440,f195(f197(a524,x20431),x20432)),f312(a133,x20434)))+P4(f302(f208(a440,f195(f197(a524,x20432),x20431)),f312(a133,x20433)))+~P4(f293(f373(a426,x20433),a10))+~P4(f293(f373(a426,x20434),a10))+~P4(f302(f208(a440,f195(f197(a524,x20432),x20431)),f204(x20433,f130(x20434,x20433,x20432,x20431))))+~P4(f302(f208(a440,f195(f197(a524,x20431),x20432)),f204(x20434,f130(x20434,x20433,x20432,x20431))))
% 1.62/1.67 [2051]~P3(x20512)+~P3(x20511)+~P4(f301(a3,x20513))+~P4(f302(f208(a440,f195(f197(a524,x20511),x20512)),f312(x20513,x20515)))+P4(f302(f208(a440,f195(f197(a524,x20511),x20512)),f312(x20513,x20514)))+~P4(f293(f373(a426,x20514),a10))+~P4(f293(f373(a426,x20515),a10))+P4(f302(f208(a440,f195(f197(a524,x20511),x20512)),f204(x20515,f172(x20513,x20514,x20515,x20511,x20512))))+P4(f302(f208(a440,f195(f197(a524,x20511),x20512)),f204(x20514,f172(x20513,x20514,x20515,x20511,x20512))))
% 1.62/1.67 [2052]~P3(x20522)+~P3(x20521)+~P4(f301(a3,x20523))+~P4(f302(f208(a440,f195(f197(a524,x20521),x20522)),f312(x20523,x20525)))+P4(f302(f208(a440,f195(f197(a524,x20521),x20522)),f312(x20523,x20524)))+~P4(f293(f373(a426,x20524),a10))+~P4(f293(f373(a426,x20525),a10))+P4(f302(f208(a440,f195(f197(a524,x20521),x20522)),f204(x20525,f172(x20523,x20525,x20524,x20521,x20522))))+P4(f302(f208(a440,f195(f197(a524,x20521),x20522)),f204(x20524,f172(x20523,x20525,x20524,x20521,x20522))))
% 1.62/1.67 [2058]~P3(x20582)+~P3(x20581)+~P4(f301(a3,x20583))+~P4(f302(f208(a440,f195(f197(a524,x20581),x20582)),f312(x20583,x20585)))+P4(f302(f208(a440,f195(f197(a524,x20581),x20582)),f312(x20583,x20584)))+~P4(f293(f373(a426,x20584),a10))+~P4(f293(f373(a426,x20585),a10))+~P4(f302(f208(a440,f195(f197(a524,x20581),x20582)),f204(x20585,f172(x20583,x20584,x20585,x20581,x20582))))+~P4(f302(f208(a440,f195(f197(a524,x20581),x20582)),f204(x20584,f172(x20583,x20584,x20585,x20581,x20582))))
% 1.62/1.67 [2059]~P3(x20592)+~P3(x20591)+~P4(f301(a3,x20593))+~P4(f302(f208(a440,f195(f197(a524,x20591),x20592)),f312(x20593,x20595)))+P4(f302(f208(a440,f195(f197(a524,x20591),x20592)),f312(x20593,x20594)))+~P4(f293(f373(a426,x20594),a10))+~P4(f293(f373(a426,x20595),a10))+~P4(f302(f208(a440,f195(f197(a524,x20591),x20592)),f204(x20595,f172(x20593,x20595,x20594,x20591,x20592))))+~P4(f302(f208(a440,f195(f197(a524,x20591),x20592)),f204(x20594,f172(x20593,x20595,x20594,x20591,x20592))))
% 1.62/1.67 [1926]~P3(x19262)+~P3(x19263)+~P3(x19261)+~P3(x19265)+E(x19261,x19262)+~E(x19265,x19261)+~P4(f302(f208(a440,f195(f197(a524,x19263),x19265)),f13(x19264,x19261,x19262)))+~P4(f361(f281(a433,x19264),a14))+P4(f302(f208(a440,f195(f197(a524,x19263),x19262)),x19264))
% 1.62/1.67 [1941]~P3(x19413)+~P3(x19412)+~P3(x19411)+~P3(x19415)+E(x19411,x19412)+~E(x19415,x19411)+~P4(f361(f281(a433,x19414),a14))+P4(f302(f208(a440,f195(f197(a524,x19412),x19413)),x19414))+~P4(f302(f208(a440,f195(f197(a524,x19415),x19413)),f199(f205(f380(a8,x19414),x19412),x19411)))
% 1.62/1.67 [1918]~E(x19183,x19181)+~P3(x19182)+~P3(x19184)+~P3(x19181)+~P3(x19183)+E(x19181,x19182)+E(x19183,x19184)+P4(f302(f208(a440,f195(f197(a524,x19184),x19183)),f13(x19185,x19181,x19182)))+~P4(f361(f281(a433,x19185),a14))+~P4(f302(f208(a440,f195(f197(a524,x19184),x19182)),x19185))
% 1.62/1.67 [1927]~P3(x19272)+~P3(x19273)+~P3(x19271)+~P3(x19274)+E(x19271,x19272)+E(x19271,x19273)+E(x19274,x19271)+~P4(f302(f208(a440,f195(f197(a524,x19274),x19273)),f13(x19275,x19271,x19272)))+~P4(f361(f281(a433,x19275),a14))+P4(f302(f208(a440,f195(f197(a524,x19274),x19273)),x19275))
% 1.62/1.67 [1929]~E(x19293,x19291)+~P3(x19294)+~P3(x19292)+~P3(x19291)+~P3(x19293)+E(x19291,x19292)+E(x19293,x19294)+~P4(f361(f281(a433,x19295),a14))+~P4(f302(f208(a440,f195(f197(a524,x19292),x19294)),x19295))+P4(f302(f208(a440,f195(f197(a524,x19293),x19294)),f199(f205(f380(a8,x19295),x19292),x19291)))
% 1.62/1.67 [1942]~P3(x19422)+~P3(x19423)+~P3(x19421)+~P3(x19424)+E(x19421,x19422)+E(x19421,x19423)+E(x19424,x19421)+~P4(f361(f281(a433,x19425),a14))+~P4(f302(f208(a440,f195(f197(a524,x19423),x19424)),f199(f205(f380(a8,x19425),x19422),x19421)))+P4(f302(f208(a440,f195(f197(a524,x19423),x19424)),x19425))
% 1.62/1.67 [1857]~E(x18573,x18572)+~E(x18574,x18571)+~P3(x18572)+~P3(x18573)+~P3(x18571)+~P3(x18574)+E(x18571,x18572)+E(x18571,x18573)+E(x18574,x18573)+P4(f302(f208(a440,f195(f197(a524,x18574),x18573)),f13(x18575,x18571,x18572)))+~P4(f361(f281(a433,x18575),a14))
% 1.62/1.67 [2029]E(x20293,x20291)+~P3(x20292)+~P3(x20291)+~P3(x20293)+E(x20291,x20292)+E(x20293,x20292)+P6(f108(x20294,x20295,x20292,x20293,x20291))+P4(f302(f208(a440,f195(f197(a524,x20291),x20292)),f312(a133,x20294)))+~P4(f302(f208(a440,f195(f197(a524,x20293),x20291)),f312(a133,x20295)))+~P4(f293(f373(a426,x20294),a10))+~P4(f293(f373(a426,x20295),a10))
% 1.62/1.67 [2030]E(x20303,x20301)+~P3(x20302)+~P3(x20301)+~P3(x20303)+E(x20301,x20302)+E(x20303,x20302)+P6(f108(x20304,x20305,x20301,x20302,x20303))+P4(f302(f208(a440,f195(f197(a524,x20302),x20303)),f312(a133,x20305)))+~P4(f302(f208(a440,f195(f197(a524,x20303),x20301)),f312(a133,x20304)))+~P4(f293(f373(a426,x20305),a10))+~P4(f293(f373(a426,x20304),a10))
% 1.62/1.67 [1882]~E(x18823,x18822)+~E(x18824,x18821)+~P3(x18822)+~P3(x18823)+~P3(x18821)+~P3(x18824)+E(x18821,x18822)+E(x18821,x18823)+E(x18824,x18823)+~P4(f361(f281(a433,x18825),a14))+P4(f302(f208(a440,f195(f197(a524,x18823),x18824)),f199(f205(f380(a8,x18825),x18822),x18821)))
% 1.62/1.67 [1919]E(x19194,x19193)+~P3(x19192)+~P3(x19191)+~P3(x19193)+~P3(x19194)+E(x19191,x19192)+E(x19193,x19191)+E(x19194,x19191)+P4(f302(f208(a440,f195(f197(a524,x19194),x19193)),f13(x19195,x19191,x19192)))+~P4(f361(f281(a433,x19195),a14))+~P4(f302(f208(a440,f195(f197(a524,x19194),x19193)),x19195))
% 1.62/1.67 [1920]~E(x19203,x19201)+~P3(x19202)+~P3(x19201)+~P3(x19203)+~P3(x19204)+E(x19201,x19202)+E(x19203,x19202)+E(x19204,x19203)+P4(f302(f208(a440,f195(f197(a524,x19204),x19203)),f13(x19205,x19202,x19201)))+~P4(f361(f281(a433,x19205),a14))+~P4(f302(f208(a440,f195(f197(a524,x19204),x19203)),x19205))
% 1.62/1.67 [1921]~E(x19214,x19211)+~P3(x19212)+~P3(x19213)+~P3(x19211)+~P3(x19214)+E(x19211,x19212)+E(x19211,x19213)+E(x19214,x19212)+P4(f302(f208(a440,f195(f197(a524,x19214),x19212)),f13(x19215,x19211,x19213)))+~P4(f361(f281(a433,x19215),a14))+~P4(f302(f208(a440,f195(f197(a524,x19213),x19212)),x19215))
% 1.62/1.67 [1922]~E(x19224,x19222)+~E(x19223,x19221)+~P3(x19222)+~P3(x19224)+~P3(x19221)+~P3(x19223)+E(x19221,x19222)+E(x19223,x19224)+P4(f302(f208(a440,f195(f197(a524,x19223),x19224)),f13(x19225,x19221,x19222)))+~P4(f361(f281(a433,x19225),a14))+~P4(f302(f208(a440,f195(f197(a524,x19223),x19222)),x19225))
% 1.62/1.67 [1928]E(x19283,x19281)+~P3(x19282)+~P3(x19281)+~P3(x19283)+~P3(x19285)+E(x19281,x19282)+E(x19283,x19282)+~E(x19285,x19283)+~P4(f302(f208(a440,f195(f197(a524,x19285),x19281)),f13(x19284,x19283,x19282)))+~P4(f361(f281(a433,x19284),a14))+P4(f302(f208(a440,f195(f197(a524,x19282),x19281)),x19284))
% 1.62/1.67 [1930]E(x19304,x19303)+~P3(x19302)+~P3(x19301)+~P3(x19303)+~P3(x19304)+E(x19301,x19302)+E(x19303,x19301)+E(x19304,x19301)+~P4(f361(f281(a433,x19305),a14))+~P4(f302(f208(a440,f195(f197(a524,x19304),x19303)),x19305))+P4(f302(f208(a440,f195(f197(a524,x19304),x19303)),f199(f205(f380(a8,x19305),x19302),x19301)))
% 1.62/1.67 [1931]~E(x19313,x19311)+~P3(x19312)+~P3(x19311)+~P3(x19314)+~P3(x19313)+E(x19311,x19312)+E(x19313,x19312)+E(x19313,x19314)+~P4(f361(f281(a433,x19315),a14))+~P4(f302(f208(a440,f195(f197(a524,x19313),x19314)),x19315))+P4(f302(f208(a440,f195(f197(a524,x19313),x19314)),f199(f205(f380(a8,x19315),x19311),x19312)))
% 1.62/1.67 [1932]~E(x19324,x19321)+~P3(x19322)+~P3(x19323)+~P3(x19321)+~P3(x19324)+E(x19321,x19322)+E(x19321,x19323)+E(x19324,x19323)+~P4(f361(f281(a433,x19325),a14))+~P4(f302(f208(a440,f195(f197(a524,x19323),x19322)),x19325))+P4(f302(f208(a440,f195(f197(a524,x19323),x19324)),f199(f205(f380(a8,x19325),x19322),x19321)))
% 1.62/1.67 [1933]~E(x19334,x19332)+~E(x19333,x19331)+~P3(x19332)+~P3(x19334)+~P3(x19331)+~P3(x19333)+E(x19331,x19332)+E(x19333,x19334)+~P4(f361(f281(a433,x19335),a14))+~P4(f302(f208(a440,f195(f197(a524,x19332),x19333)),x19335))+P4(f302(f208(a440,f195(f197(a524,x19334),x19333)),f199(f205(f380(a8,x19335),x19332),x19331)))
% 1.62/1.67 [1943]E(x19433,x19431)+~P3(x19432)+~P3(x19431)+~P3(x19433)+~P3(x19435)+E(x19431,x19432)+E(x19433,x19432)+~E(x19435,x19433)+~P4(f361(f281(a433,x19434),a14))+P4(f302(f208(a440,f195(f197(a524,x19431),x19432)),x19434))+~P4(f302(f208(a440,f195(f197(a524,x19431),x19435)),f199(f205(f380(a8,x19434),x19432),x19433)))
% 1.62/1.67 [1960]~P3(x19602)+~P3(x19601)+~P3(x19603)+~P3(x19604)+E(x19601,x19602)+E(x19603,x19602)+E(x19604,x19603)+P4(f302(f208(a440,f195(f197(a524,x19604),x19603)),f13(x19605,x19602,x19601)))+~P4(f361(f281(a433,x19605),a14))+~P4(f302(f208(a440,f195(f197(a524,x19604),x19603)),x19605))+~P4(f302(f208(a440,f195(f197(a524,x19601),x19603)),x19605))
% 1.62/1.67 [1961]~P3(x19612)+~P3(x19611)+~P3(x19614)+~P3(x19613)+E(x19611,x19612)+E(x19613,x19611)+E(x19613,x19614)+P4(f302(f208(a440,f195(f197(a524,x19613),x19614)),f13(x19615,x19611,x19612)))+~P4(f361(f281(a433,x19615),a14))+~P4(f302(f208(a440,f195(f197(a524,x19613),x19614)),x19615))+~P4(f302(f208(a440,f195(f197(a524,x19613),x19612)),x19615))
% 1.62/1.67 [1963]~E(x19634,x19631)+~P3(x19632)+~P3(x19631)+~P3(x19634)+~P3(x19633)+E(x19631,x19632)+E(x19633,x19634)+P4(f302(f208(a440,f195(f197(a524,x19633),x19634)),f13(x19635,x19632,x19631)))+~P4(f361(f281(a433,x19635),a14))+~P4(f302(f208(a440,f195(f197(a524,x19633),x19634)),x19635))+~P4(f302(f208(a440,f195(f197(a524,x19633),x19631)),x19635))
% 1.62/1.67 [1964]~E(x19643,x19641)+~P3(x19644)+~P3(x19642)+~P3(x19641)+~P3(x19643)+E(x19641,x19642)+E(x19643,x19644)+P4(f302(f208(a440,f195(f197(a524,x19643),x19644)),f13(x19645,x19641,x19642)))+~P4(f361(f281(a433,x19645),a14))+~P4(f302(f208(a440,f195(f197(a524,x19643),x19642)),x19645))+~P4(f302(f208(a440,f195(f197(a524,x19642),x19644)),x19645))
% 1.62/1.67 [1975]~P3(x19752)+~P3(x19751)+~P3(x19753)+~P3(x19754)+E(x19751,x19752)+E(x19753,x19751)+E(x19754,x19753)+~P4(f361(f281(a433,x19755),a14))+~P4(f302(f208(a440,f195(f197(a524,x19754),x19753)),x19755))+~P4(f302(f208(a440,f195(f197(a524,x19752),x19753)),x19755))+P4(f302(f208(a440,f195(f197(a524,x19754),x19753)),f199(f205(f380(a8,x19755),x19752),x19751)))
% 1.62/1.67 [1976]~P3(x19762)+~P3(x19761)+~P3(x19764)+~P3(x19763)+E(x19761,x19762)+E(x19763,x19762)+E(x19763,x19764)+~P4(f361(f281(a433,x19765),a14))+~P4(f302(f208(a440,f195(f197(a524,x19763),x19764)),x19765))+~P4(f302(f208(a440,f195(f197(a524,x19763),x19761)),x19765))+P4(f302(f208(a440,f195(f197(a524,x19763),x19764)),f199(f205(f380(a8,x19765),x19761),x19762)))
% 1.62/1.67 [1977]~E(x19773,x19771)+~P3(x19772)+~P3(x19771)+~P3(x19774)+~P3(x19773)+E(x19771,x19772)+E(x19773,x19774)+~P4(f361(f281(a433,x19775),a14))+~P4(f302(f208(a440,f195(f197(a524,x19773),x19774)),x19775))+~P4(f302(f208(a440,f195(f197(a524,x19771),x19774)),x19775))+P4(f302(f208(a440,f195(f197(a524,x19773),x19774)),f199(f205(f380(a8,x19775),x19771),x19772)))
% 1.62/1.67 [1978]~E(x19783,x19781)+~P3(x19782)+~P3(x19784)+~P3(x19781)+~P3(x19783)+E(x19781,x19782)+E(x19783,x19784)+~P4(f361(f281(a433,x19785),a14))+~P4(f302(f208(a440,f195(f197(a524,x19784),x19782)),x19785))+~P4(f302(f208(a440,f195(f197(a524,x19782),x19783)),x19785))+P4(f302(f208(a440,f195(f197(a524,x19784),x19783)),f199(f205(f380(a8,x19785),x19782),x19781)))
% 1.62/1.67 [1997]~P3(x19972)+~P3(x19971)+~P3(x19974)+~P3(x19973)+E(x19971,x19972)+E(x19973,x19974)+P4(f302(f208(a440,f195(f197(a524,x19973),x19974)),f13(x19975,x19972,x19971)))+~P4(f361(f281(a433,x19975),a14))+~P4(f302(f208(a440,f195(f197(a524,x19973),x19974)),x19975))+~P4(f302(f208(a440,f195(f197(a524,x19973),x19971)),x19975))+~P4(f302(f208(a440,f195(f197(a524,x19971),x19974)),x19975))
% 1.62/1.67 [2006]~P3(x20062)+~P3(x20061)+~P3(x20064)+~P3(x20063)+E(x20061,x20062)+E(x20063,x20064)+~P4(f361(f281(a433,x20065),a14))+~P4(f302(f208(a440,f195(f197(a524,x20063),x20064)),x20065))+~P4(f302(f208(a440,f195(f197(a524,x20063),x20061)),x20065))+~P4(f302(f208(a440,f195(f197(a524,x20061),x20064)),x20065))+P4(f302(f208(a440,f195(f197(a524,x20063),x20064)),f199(f205(f380(a8,x20065),x20061),x20062)))
% 1.62/1.67 [2044]~P3(x20442)+~P3(x20441)+~P3(x20444)+~P3(x20443)+E(x20441,x20442)+E(x20443,x20444)+P6(f119(x20445,x20446,x20441,x20442,x20443,x20444))+P4(f302(f208(a440,f195(f197(a524,x20441),x20442)),f312(a133,x20445)))+~P4(f302(f208(a440,f195(f197(a524,x20443),x20444)),f312(a133,x20446)))+~P4(f293(f373(a426,x20445),a10))+~P4(f293(f373(a426,x20446),a10))
% 1.62/1.67 [2045]~P3(x20452)+~P3(x20451)+~P3(x20454)+~P3(x20453)+E(x20451,x20452)+E(x20453,x20454)+P6(f119(x20455,x20456,x20453,x20454,x20451,x20452))+P4(f302(f208(a440,f195(f197(a524,x20451),x20452)),f312(a133,x20456)))+~P4(f302(f208(a440,f195(f197(a524,x20453),x20454)),f312(a133,x20455)))+~P4(f293(f373(a426,x20456),a10))+~P4(f293(f373(a426,x20455),a10))
% 1.62/1.67 [2049]E(x20493,x20491)+~P3(x20492)+~P3(x20491)+~P3(x20493)+E(x20491,x20492)+E(x20493,x20492)+~P4(f302(f208(a440,f195(f197(a524,x20493),x20491)),f312(a133,x20495)))+P4(f302(f208(a440,f195(f197(a524,x20492),x20493)),f312(a133,x20494)))+~P4(f293(f373(a426,x20494),a10))+~P4(f293(f373(a426,x20495),a10))+P4(f302(f208(a440,f195(f197(a524,x20492),x20493)),f204(x20494,f108(x20495,x20494,x20491,x20492,x20493))))+P4(f302(f208(a440,f195(f197(a524,x20493),x20491)),f204(x20495,f108(x20495,x20494,x20491,x20492,x20493))))
% 1.62/1.67 [2050]E(x20503,x20501)+~P3(x20502)+~P3(x20501)+~P3(x20503)+E(x20501,x20502)+E(x20503,x20502)+~P4(f302(f208(a440,f195(f197(a524,x20503),x20501)),f312(a133,x20505)))+P4(f302(f208(a440,f195(f197(a524,x20501),x20502)),f312(a133,x20504)))+~P4(f293(f373(a426,x20504),a10))+~P4(f293(f373(a426,x20505),a10))+P4(f302(f208(a440,f195(f197(a524,x20501),x20502)),f204(x20504,f108(x20504,x20505,x20502,x20503,x20501))))+P4(f302(f208(a440,f195(f197(a524,x20503),x20501)),f204(x20505,f108(x20504,x20505,x20502,x20503,x20501))))
% 1.62/1.67 [2056]E(x20563,x20561)+~P3(x20562)+~P3(x20561)+~P3(x20563)+E(x20561,x20562)+E(x20563,x20562)+~P4(f302(f208(a440,f195(f197(a524,x20563),x20561)),f312(a133,x20565)))+P4(f302(f208(a440,f195(f197(a524,x20562),x20563)),f312(a133,x20564)))+~P4(f293(f373(a426,x20564),a10))+~P4(f293(f373(a426,x20565),a10))+~P4(f302(f208(a440,f195(f197(a524,x20562),x20563)),f204(x20564,f108(x20565,x20564,x20561,x20562,x20563))))+~P4(f302(f208(a440,f195(f197(a524,x20563),x20561)),f204(x20565,f108(x20565,x20564,x20561,x20562,x20563))))
% 1.62/1.67 [2057]E(x20573,x20571)+~P3(x20572)+~P3(x20571)+~P3(x20573)+E(x20571,x20572)+E(x20573,x20572)+~P4(f302(f208(a440,f195(f197(a524,x20573),x20571)),f312(a133,x20575)))+P4(f302(f208(a440,f195(f197(a524,x20571),x20572)),f312(a133,x20574)))+~P4(f293(f373(a426,x20574),a10))+~P4(f293(f373(a426,x20575),a10))+~P4(f302(f208(a440,f195(f197(a524,x20571),x20572)),f204(x20574,f108(x20574,x20575,x20572,x20573,x20571))))+~P4(f302(f208(a440,f195(f197(a524,x20573),x20571)),f204(x20575,f108(x20574,x20575,x20572,x20573,x20571))))
% 1.62/1.67 [2063]~P3(x20632)+~P3(x20631)+~P3(x20634)+~P3(x20633)+E(x20631,x20632)+E(x20633,x20634)+~P4(f302(f208(a440,f195(f197(a524,x20633),x20634)),f312(a133,x20636)))+P4(f302(f208(a440,f195(f197(a524,x20631),x20632)),f312(a133,x20635)))+~P4(f293(f373(a426,x20635),a10))+~P4(f293(f373(a426,x20636),a10))+P4(f302(f208(a440,f195(f197(a524,x20631),x20632)),f204(x20635,f119(x20635,x20636,x20631,x20632,x20633,x20634))))+P4(f302(f208(a440,f195(f197(a524,x20633),x20634)),f204(x20636,f119(x20635,x20636,x20631,x20632,x20633,x20634))))
% 1.62/1.67 [2064]~P3(x20642)+~P3(x20641)+~P3(x20644)+~P3(x20643)+E(x20641,x20642)+E(x20643,x20644)+~P4(f302(f208(a440,f195(f197(a524,x20643),x20644)),f312(a133,x20646)))+P4(f302(f208(a440,f195(f197(a524,x20641),x20642)),f312(a133,x20645)))+~P4(f293(f373(a426,x20645),a10))+~P4(f293(f373(a426,x20646),a10))+P4(f302(f208(a440,f195(f197(a524,x20641),x20642)),f204(x20645,f119(x20646,x20645,x20643,x20644,x20641,x20642))))+P4(f302(f208(a440,f195(f197(a524,x20643),x20644)),f204(x20646,f119(x20646,x20645,x20643,x20644,x20641,x20642))))
% 1.62/1.67 [2071]~P3(x20712)+~P3(x20711)+~P3(x20714)+~P3(x20713)+E(x20711,x20712)+E(x20713,x20714)+~P4(f302(f208(a440,f195(f197(a524,x20713),x20714)),f312(a133,x20716)))+P4(f302(f208(a440,f195(f197(a524,x20711),x20712)),f312(a133,x20715)))+~P4(f293(f373(a426,x20715),a10))+~P4(f293(f373(a426,x20716),a10))+~P4(f302(f208(a440,f195(f197(a524,x20711),x20712)),f204(x20715,f119(x20715,x20716,x20711,x20712,x20713,x20714))))+~P4(f302(f208(a440,f195(f197(a524,x20713),x20714)),f204(x20716,f119(x20715,x20716,x20711,x20712,x20713,x20714))))
% 1.62/1.67 [2072]~P3(x20722)+~P3(x20721)+~P3(x20724)+~P3(x20723)+E(x20721,x20722)+E(x20723,x20724)+~P4(f302(f208(a440,f195(f197(a524,x20723),x20724)),f312(a133,x20726)))+P4(f302(f208(a440,f195(f197(a524,x20721),x20722)),f312(a133,x20725)))+~P4(f293(f373(a426,x20725),a10))+~P4(f293(f373(a426,x20726),a10))+~P4(f302(f208(a440,f195(f197(a524,x20721),x20722)),f204(x20725,f119(x20726,x20725,x20723,x20724,x20721,x20722))))+~P4(f302(f208(a440,f195(f197(a524,x20723),x20724)),f204(x20726,f119(x20726,x20725,x20723,x20724,x20721,x20722))))
% 1.62/1.67 [2046]E(x20464,x20463)+~P3(x20462)+~P3(x20461)+~P3(x20463)+~P3(x20464)+E(x20461,x20462)+E(x20463,x20461)+E(x20464,x20462)+P6(f99(x20465,x20466,x20464,x20463,x20461,x20462))+P4(f302(f208(a440,f195(f197(a524,x20464),x20463)),f312(a133,x20465)))+~P4(f302(f208(a440,f195(f197(a524,x20461),x20462)),f312(a133,x20466)))+~P4(f293(f373(a426,x20466),a10))+~P4(f293(f373(a426,x20465),a10))
% 1.62/1.67 [2047]E(x20474,x20473)+~P3(x20472)+~P3(x20471)+~P3(x20473)+~P3(x20474)+E(x20471,x20472)+E(x20473,x20471)+E(x20474,x20472)+P6(f87(x20475,x20476,x20471,x20472,x20474,x20473))+P4(f302(f208(a440,f195(f197(a524,x20471),x20472)),f312(a133,x20475)))+~P4(f302(f208(a440,f195(f197(a524,x20474),x20473)),f312(a133,x20476)))+~P4(f293(f373(a426,x20475),a10))+~P4(f293(f373(a426,x20476),a10))
% 1.62/1.67 [2048]E(x20484,x20483)+~P3(x20482)+~P3(x20481)+~P3(x20483)+~P3(x20484)+E(x20481,x20482)+E(x20483,x20481)+E(x20484,x20482)+P6(f87(x20485,x20486,x20484,x20483,x20481,x20482))+P4(f302(f208(a440,f195(f197(a524,x20481),x20482)),f312(a133,x20486)))+~P4(f302(f208(a440,f195(f197(a524,x20484),x20483)),f312(a133,x20485)))+~P4(f293(f373(a426,x20486),a10))+~P4(f293(f373(a426,x20485),a10))
% 1.62/1.67 [2065]E(x20654,x20653)+~P3(x20652)+~P3(x20651)+~P3(x20653)+~P3(x20654)+E(x20651,x20652)+E(x20653,x20651)+E(x20654,x20652)+~P4(f302(f208(a440,f195(f197(a524,x20654),x20653)),f312(a133,x20656)))+P4(f302(f208(a440,f195(f197(a524,x20651),x20652)),f312(a133,x20655)))+~P4(f293(f373(a426,x20655),a10))+~P4(f293(f373(a426,x20656),a10))+P4(f302(f208(a440,f195(f197(a524,x20651),x20652)),f204(x20655,f99(x20655,x20656,x20651,x20652,x20654,x20653))))+P4(f302(f208(a440,f195(f197(a524,x20654),x20653)),f204(x20656,f99(x20655,x20656,x20651,x20652,x20654,x20653))))
% 1.62/1.67 [2066]E(x20664,x20663)+~P3(x20662)+~P3(x20661)+~P3(x20663)+~P3(x20664)+E(x20661,x20662)+E(x20663,x20661)+E(x20664,x20662)+~P4(f302(f208(a440,f195(f197(a524,x20664),x20663)),f312(a133,x20666)))+P4(f302(f208(a440,f195(f197(a524,x20661),x20662)),f312(a133,x20665)))+~P4(f293(f373(a426,x20665),a10))+~P4(f293(f373(a426,x20666),a10))+P4(f302(f208(a440,f195(f197(a524,x20661),x20662)),f204(x20665,f87(x20665,x20666,x20661,x20662,x20664,x20663))))+P4(f302(f208(a440,f195(f197(a524,x20664),x20663)),f204(x20666,f87(x20665,x20666,x20661,x20662,x20664,x20663))))
% 1.62/1.67 [2067]E(x20674,x20673)+~P3(x20672)+~P3(x20671)+~P3(x20673)+~P3(x20674)+E(x20671,x20672)+E(x20673,x20671)+E(x20674,x20672)+~P4(f302(f208(a440,f195(f197(a524,x20674),x20673)),f312(a133,x20676)))+P4(f302(f208(a440,f195(f197(a524,x20671),x20672)),f312(a133,x20675)))+~P4(f293(f373(a426,x20675),a10))+~P4(f293(f373(a426,x20676),a10))+P4(f302(f208(a440,f195(f197(a524,x20671),x20672)),f204(x20675,f87(x20676,x20675,x20674,x20673,x20671,x20672))))+P4(f302(f208(a440,f195(f197(a524,x20674),x20673)),f204(x20676,f87(x20676,x20675,x20674,x20673,x20671,x20672))))
% 1.62/1.67 [2073]E(x20734,x20733)+~P3(x20732)+~P3(x20731)+~P3(x20733)+~P3(x20734)+E(x20731,x20732)+E(x20733,x20731)+E(x20734,x20732)+~P4(f302(f208(a440,f195(f197(a524,x20734),x20733)),f312(a133,x20736)))+P4(f302(f208(a440,f195(f197(a524,x20731),x20732)),f312(a133,x20735)))+~P4(f293(f373(a426,x20735),a10))+~P4(f293(f373(a426,x20736),a10))+~P4(f302(f208(a440,f195(f197(a524,x20731),x20732)),f204(x20735,f99(x20735,x20736,x20731,x20732,x20734,x20733))))+~P4(f302(f208(a440,f195(f197(a524,x20734),x20733)),f204(x20736,f99(x20735,x20736,x20731,x20732,x20734,x20733))))
% 1.62/1.67 [2074]E(x20744,x20743)+~P3(x20742)+~P3(x20741)+~P3(x20743)+~P3(x20744)+E(x20741,x20742)+E(x20743,x20741)+E(x20744,x20742)+~P4(f302(f208(a440,f195(f197(a524,x20744),x20743)),f312(a133,x20746)))+P4(f302(f208(a440,f195(f197(a524,x20741),x20742)),f312(a133,x20745)))+~P4(f293(f373(a426,x20745),a10))+~P4(f293(f373(a426,x20746),a10))+~P4(f302(f208(a440,f195(f197(a524,x20741),x20742)),f204(x20745,f87(x20745,x20746,x20741,x20742,x20744,x20743))))+~P4(f302(f208(a440,f195(f197(a524,x20744),x20743)),f204(x20746,f87(x20745,x20746,x20741,x20742,x20744,x20743))))
% 1.62/1.67 [2075]E(x20754,x20753)+~P3(x20752)+~P3(x20751)+~P3(x20753)+~P3(x20754)+E(x20751,x20752)+E(x20753,x20751)+E(x20754,x20752)+~P4(f302(f208(a440,f195(f197(a524,x20754),x20753)),f312(a133,x20756)))+P4(f302(f208(a440,f195(f197(a524,x20751),x20752)),f312(a133,x20755)))+~P4(f293(f373(a426,x20755),a10))+~P4(f293(f373(a426,x20756),a10))+~P4(f302(f208(a440,f195(f197(a524,x20751),x20752)),f204(x20755,f87(x20756,x20755,x20754,x20753,x20751,x20752))))+~P4(f302(f208(a440,f195(f197(a524,x20754),x20753)),f204(x20756,f87(x20756,x20755,x20754,x20753,x20751,x20752))))
% 1.62/1.67 %EqnAxiom
% 1.62/1.67 [1]E(x11,x11)
% 1.62/1.67 [2]E(x22,x21)+~E(x21,x22)
% 1.62/1.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.62/1.67 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.62/1.67 [5]~E(x51,x52)+E(f532(x51),f532(x52))
% 1.62/1.67 [6]~E(x61,x62)+E(f535(x61),f535(x62))
% 1.62/1.67 [7]~E(x71,x72)+E(f533(x71),f533(x72))
% 1.62/1.67 [8]~E(x81,x82)+E(f186(x81,x83),f186(x82,x83))
% 1.62/1.67 [9]~E(x91,x92)+E(f186(x93,x91),f186(x93,x92))
% 1.62/1.67 [10]~E(x101,x102)+E(f237(x101,x103),f237(x102,x103))
% 1.62/1.67 [11]~E(x111,x112)+E(f237(x113,x111),f237(x113,x112))
% 1.62/1.67 [12]~E(x121,x122)+E(f87(x121,x123,x124,x125,x126,x127),f87(x122,x123,x124,x125,x126,x127))
% 1.62/1.67 [13]~E(x131,x132)+E(f87(x133,x131,x134,x135,x136,x137),f87(x133,x132,x134,x135,x136,x137))
% 1.62/1.67 [14]~E(x141,x142)+E(f87(x143,x144,x141,x145,x146,x147),f87(x143,x144,x142,x145,x146,x147))
% 1.62/1.67 [15]~E(x151,x152)+E(f87(x153,x154,x155,x151,x156,x157),f87(x153,x154,x155,x152,x156,x157))
% 1.62/1.67 [16]~E(x161,x162)+E(f87(x163,x164,x165,x166,x161,x167),f87(x163,x164,x165,x166,x162,x167))
% 1.62/1.67 [17]~E(x171,x172)+E(f87(x173,x174,x175,x176,x177,x171),f87(x173,x174,x175,x176,x177,x172))
% 1.62/1.67 [18]~E(x181,x182)+E(f238(x181,x183),f238(x182,x183))
% 1.62/1.67 [19]~E(x191,x192)+E(f238(x193,x191),f238(x193,x192))
% 1.62/1.67 [20]~E(x201,x202)+E(f64(x201),f64(x202))
% 1.62/1.67 [21]~E(x211,x212)+E(f239(x211,x213),f239(x212,x213))
% 1.62/1.67 [22]~E(x221,x222)+E(f239(x223,x221),f239(x223,x222))
% 1.62/1.67 [23]~E(x231,x232)+E(f71(x231),f71(x232))
% 1.62/1.67 [24]~E(x241,x242)+E(f240(x241,x243),f240(x242,x243))
% 1.62/1.67 [25]~E(x251,x252)+E(f240(x253,x251),f240(x253,x252))
% 1.62/1.67 [26]~E(x261,x262)+E(f65(x261),f65(x262))
% 1.62/1.67 [27]~E(x271,x272)+E(f243(x271,x273),f243(x272,x273))
% 1.62/1.67 [28]~E(x281,x282)+E(f243(x283,x281),f243(x283,x282))
% 1.62/1.67 [29]~E(x291,x292)+E(f66(x291),f66(x292))
% 1.62/1.67 [30]~E(x301,x302)+E(f246(x301,x303),f246(x302,x303))
% 1.62/1.67 [31]~E(x311,x312)+E(f246(x313,x311),f246(x313,x312))
% 1.62/1.67 [32]~E(x321,x322)+E(f72(x321),f72(x322))
% 1.62/1.67 [33]~E(x331,x332)+E(f247(x331,x333),f247(x332,x333))
% 1.62/1.67 [34]~E(x341,x342)+E(f247(x343,x341),f247(x343,x342))
% 1.62/1.67 [35]~E(x351,x352)+E(f67(x351),f67(x352))
% 1.62/1.67 [36]~E(x361,x362)+E(f248(x361,x363),f248(x362,x363))
% 1.62/1.67 [37]~E(x371,x372)+E(f248(x373,x371),f248(x373,x372))
% 1.62/1.67 [38]~E(x381,x382)+E(f301(x381,x383),f301(x382,x383))
% 1.62/1.67 [39]~E(x391,x392)+E(f301(x393,x391),f301(x393,x392))
% 1.62/1.67 [40]~E(x401,x402)+E(f302(x401,x403),f302(x402,x403))
% 1.62/1.67 [41]~E(x411,x412)+E(f302(x413,x411),f302(x413,x412))
% 1.62/1.67 [42]~E(x421,x422)+E(f187(x421,x423),f187(x422,x423))
% 1.62/1.67 [43]~E(x431,x432)+E(f187(x433,x431),f187(x433,x432))
% 1.62/1.67 [44]~E(x441,x442)+E(f353(x441,x443),f353(x442,x443))
% 1.62/1.67 [45]~E(x451,x452)+E(f353(x453,x451),f353(x453,x452))
% 1.62/1.67 [46]~E(x461,x462)+E(f206(x461,x463),f206(x462,x463))
% 1.62/1.67 [47]~E(x471,x472)+E(f206(x473,x471),f206(x473,x472))
% 1.62/1.67 [48]~E(x481,x482)+E(f249(x481,x483),f249(x482,x483))
% 1.62/1.67 [49]~E(x491,x492)+E(f249(x493,x491),f249(x493,x492))
% 1.62/1.67 [50]~E(x501,x502)+E(f204(x501,x503),f204(x502,x503))
% 1.62/1.67 [51]~E(x511,x512)+E(f204(x513,x511),f204(x513,x512))
% 1.62/1.67 [52]~E(x521,x522)+E(f197(x521,x523),f197(x522,x523))
% 1.62/1.67 [53]~E(x531,x532)+E(f197(x533,x531),f197(x533,x532))
% 1.62/1.67 [54]~E(x541,x542)+E(f226(x541,x543),f226(x542,x543))
% 1.62/1.67 [55]~E(x551,x552)+E(f226(x553,x551),f226(x553,x552))
% 1.62/1.67 [56]~E(x561,x562)+E(f207(x561,x563),f207(x562,x563))
% 1.62/1.67 [57]~E(x571,x572)+E(f207(x573,x571),f207(x573,x572))
% 1.62/1.67 [58]~E(x581,x582)+E(f227(x581,x583),f227(x582,x583))
% 1.62/1.67 [59]~E(x591,x592)+E(f227(x593,x591),f227(x593,x592))
% 1.62/1.67 [60]~E(x601,x602)+E(f311(x601,x603),f311(x602,x603))
% 1.62/1.67 [61]~E(x611,x612)+E(f311(x613,x611),f311(x613,x612))
% 1.62/1.67 [62]~E(x621,x622)+E(f208(x621,x623),f208(x622,x623))
% 1.62/1.67 [63]~E(x631,x632)+E(f208(x633,x631),f208(x633,x632))
% 1.62/1.67 [64]~E(x641,x642)+E(f229(x641,x643),f229(x642,x643))
% 1.62/1.67 [65]~E(x651,x652)+E(f229(x653,x651),f229(x653,x652))
% 1.62/1.67 [66]~E(x661,x662)+E(f230(x661,x663),f230(x662,x663))
% 1.62/1.67 [67]~E(x671,x672)+E(f230(x673,x671),f230(x673,x672))
% 1.62/1.67 [68]~E(x681,x682)+E(f312(x681,x683),f312(x682,x683))
% 1.62/1.67 [69]~E(x691,x692)+E(f312(x693,x691),f312(x693,x692))
% 1.62/1.67 [70]~E(x701,x702)+E(f115(x701,x703,x704),f115(x702,x703,x704))
% 1.62/1.67 [71]~E(x711,x712)+E(f115(x713,x711,x714),f115(x713,x712,x714))
% 1.62/1.67 [72]~E(x721,x722)+E(f115(x723,x724,x721),f115(x723,x724,x722))
% 1.62/1.67 [73]~E(x731,x732)+E(f320(x731,x733),f320(x732,x733))
% 1.62/1.67 [74]~E(x741,x742)+E(f320(x743,x741),f320(x743,x742))
% 1.62/1.67 [75]~E(x751,x752)+E(f341(x751,x753),f341(x752,x753))
% 1.62/1.67 [76]~E(x761,x762)+E(f341(x763,x761),f341(x763,x762))
% 1.62/1.67 [77]~E(x771,x772)+E(f354(x771,x773),f354(x772,x773))
% 1.62/1.67 [78]~E(x781,x782)+E(f354(x783,x781),f354(x783,x782))
% 1.62/1.67 [79]~E(x791,x792)+E(f357(x791,x793),f357(x792,x793))
% 1.62/1.67 [80]~E(x801,x802)+E(f357(x803,x801),f357(x803,x802))
% 1.62/1.67 [81]~E(x811,x812)+E(f321(x811,x813),f321(x812,x813))
% 1.62/1.67 [82]~E(x821,x822)+E(f321(x823,x821),f321(x823,x822))
% 1.62/1.67 [83]~E(x831,x832)+E(f323(x831,x833),f323(x832,x833))
% 1.62/1.67 [84]~E(x841,x842)+E(f323(x843,x841),f323(x843,x842))
% 1.62/1.67 [85]~E(x851,x852)+E(f250(x851,x853),f250(x852,x853))
% 1.62/1.67 [86]~E(x861,x862)+E(f250(x863,x861),f250(x863,x862))
% 1.62/1.67 [87]~E(x871,x872)+E(f368(x871,x873),f368(x872,x873))
% 1.62/1.67 [88]~E(x881,x882)+E(f368(x883,x881),f368(x883,x882))
% 1.62/1.67 [89]~E(x891,x892)+E(f369(x891,x893),f369(x892,x893))
% 1.62/1.67 [90]~E(x901,x902)+E(f369(x903,x901),f369(x903,x902))
% 1.62/1.67 [91]~E(x911,x912)+E(f378(x911,x913),f378(x912,x913))
% 1.62/1.67 [92]~E(x921,x922)+E(f378(x923,x921),f378(x923,x922))
% 1.62/1.67 [93]~E(x931,x932)+E(f383(x931,x933),f383(x932,x933))
% 1.62/1.67 [94]~E(x941,x942)+E(f383(x943,x941),f383(x943,x942))
% 1.62/1.67 [95]~E(x951,x952)+E(f333(x951,x953),f333(x952,x953))
% 1.62/1.67 [96]~E(x961,x962)+E(f333(x963,x961),f333(x963,x962))
% 1.62/1.67 [97]~E(x971,x972)+E(f286(x971,x973),f286(x972,x973))
% 1.62/1.67 [98]~E(x981,x982)+E(f286(x983,x981),f286(x983,x982))
% 1.62/1.67 [99]~E(x991,x992)+E(f303(x991,x993),f303(x992,x993))
% 1.62/1.67 [100]~E(x1001,x1002)+E(f303(x1003,x1001),f303(x1003,x1002))
% 1.62/1.67 [101]~E(x1011,x1012)+E(f287(x1011,x1013),f287(x1012,x1013))
% 1.62/1.67 [102]~E(x1021,x1022)+E(f287(x1023,x1021),f287(x1023,x1022))
% 1.62/1.67 [103]~E(x1031,x1032)+E(f355(x1031,x1033),f355(x1032,x1033))
% 1.62/1.67 [104]~E(x1041,x1042)+E(f355(x1043,x1041),f355(x1043,x1042))
% 1.62/1.67 [105]~E(x1051,x1052)+E(f342(x1051,x1053),f342(x1052,x1053))
% 1.62/1.67 [106]~E(x1061,x1062)+E(f342(x1063,x1061),f342(x1063,x1062))
% 1.62/1.67 [107]~E(x1071,x1072)+E(f384(x1071,x1073),f384(x1072,x1073))
% 1.62/1.67 [108]~E(x1081,x1082)+E(f384(x1083,x1081),f384(x1083,x1082))
% 1.62/1.67 [109]~E(x1091,x1092)+E(f291(x1091,x1093),f291(x1092,x1093))
% 1.62/1.67 [110]~E(x1101,x1102)+E(f291(x1103,x1101),f291(x1103,x1102))
% 1.62/1.67 [111]~E(x1111,x1112)+E(f324(x1111,x1113),f324(x1112,x1113))
% 1.62/1.67 [112]~E(x1121,x1122)+E(f324(x1123,x1121),f324(x1123,x1122))
% 1.62/1.67 [113]~E(x1131,x1132)+E(f251(x1131,x1133),f251(x1132,x1133))
% 1.62/1.67 [114]~E(x1141,x1142)+E(f251(x1143,x1141),f251(x1143,x1142))
% 1.62/1.67 [115]~E(x1151,x1152)+E(f400(x1151,x1153),f400(x1152,x1153))
% 1.62/1.67 [116]~E(x1161,x1162)+E(f400(x1163,x1161),f400(x1163,x1162))
% 1.62/1.67 [117]~E(x1171,x1172)+E(f268(x1171,x1173),f268(x1172,x1173))
% 1.62/1.67 [118]~E(x1181,x1182)+E(f268(x1183,x1181),f268(x1183,x1182))
% 1.62/1.67 [119]~E(x1191,x1192)+E(f252(x1191,x1193),f252(x1192,x1193))
% 1.62/1.67 [120]~E(x1201,x1202)+E(f252(x1203,x1201),f252(x1203,x1202))
% 1.62/1.67 [121]~E(x1211,x1212)+E(f385(x1211,x1213),f385(x1212,x1213))
% 1.62/1.67 [122]~E(x1221,x1222)+E(f385(x1223,x1221),f385(x1223,x1222))
% 1.62/1.67 [123]~E(x1231,x1232)+E(f386(x1231,x1233),f386(x1232,x1233))
% 1.62/1.67 [124]~E(x1241,x1242)+E(f386(x1243,x1241),f386(x1243,x1242))
% 1.62/1.67 [125]~E(x1251,x1252)+E(f402(x1251,x1253),f402(x1252,x1253))
% 1.62/1.67 [126]~E(x1261,x1262)+E(f402(x1263,x1261),f402(x1263,x1262))
% 1.62/1.67 [127]~E(x1271,x1272)+E(f253(x1271,x1273),f253(x1272,x1273))
% 1.62/1.67 [128]~E(x1281,x1282)+E(f253(x1283,x1281),f253(x1283,x1282))
% 1.62/1.67 [129]~E(x1291,x1292)+E(f358(x1291,x1293),f358(x1292,x1293))
% 1.62/1.67 [130]~E(x1301,x1302)+E(f358(x1303,x1301),f358(x1303,x1302))
% 1.62/1.67 [131]~E(x1311,x1312)+E(f288(x1311,x1313),f288(x1312,x1313))
% 1.62/1.67 [132]~E(x1321,x1322)+E(f288(x1323,x1321),f288(x1323,x1322))
% 1.62/1.67 [133]~E(x1331,x1332)+E(f280(x1331,x1333),f280(x1332,x1333))
% 1.62/1.67 [134]~E(x1341,x1342)+E(f280(x1343,x1341),f280(x1343,x1342))
% 1.62/1.67 [135]~E(x1351,x1352)+E(f388(x1351,x1353),f388(x1352,x1353))
% 1.62/1.67 [136]~E(x1361,x1362)+E(f388(x1363,x1361),f388(x1363,x1362))
% 1.62/1.67 [137]~E(x1371,x1372)+E(f359(x1371,x1373),f359(x1372,x1373))
% 1.62/1.67 [138]~E(x1381,x1382)+E(f359(x1383,x1381),f359(x1383,x1382))
% 1.62/1.67 [139]~E(x1391,x1392)+E(f404(x1391,x1393),f404(x1392,x1393))
% 1.62/1.67 [140]~E(x1401,x1402)+E(f404(x1403,x1401),f404(x1403,x1402))
% 1.62/1.67 [141]~E(x1411,x1412)+E(f292(x1411,x1413),f292(x1412,x1413))
% 1.62/1.67 [142]~E(x1421,x1422)+E(f292(x1423,x1421),f292(x1423,x1422))
% 1.62/1.67 [143]~E(x1431,x1432)+E(f389(x1431,x1433),f389(x1432,x1433))
% 1.62/1.67 [144]~E(x1441,x1442)+E(f389(x1443,x1441),f389(x1443,x1442))
% 1.62/1.67 [145]~E(x1451,x1452)+E(f234(x1451,x1453),f234(x1452,x1453))
% 1.62/1.67 [146]~E(x1461,x1462)+E(f234(x1463,x1461),f234(x1463,x1462))
% 1.62/1.67 [147]~E(x1471,x1472)+E(f348(x1471,x1473),f348(x1472,x1473))
% 1.62/1.67 [148]~E(x1481,x1482)+E(f348(x1483,x1481),f348(x1483,x1482))
% 1.62/1.67 [149]~E(x1491,x1492)+E(f334(x1491,x1493),f334(x1492,x1493))
% 1.62/1.67 [150]~E(x1501,x1502)+E(f334(x1503,x1501),f334(x1503,x1502))
% 1.62/1.67 [151]~E(x1511,x1512)+E(f225(x1511,x1513),f225(x1512,x1513))
% 1.62/1.67 [152]~E(x1521,x1522)+E(f225(x1523,x1521),f225(x1523,x1522))
% 1.62/1.67 [153]~E(x1531,x1532)+E(f406(x1531,x1533),f406(x1532,x1533))
% 1.62/1.67 [154]~E(x1541,x1542)+E(f406(x1543,x1541),f406(x1543,x1542))
% 1.62/1.67 [155]~E(x1551,x1552)+E(f254(x1551,x1553),f254(x1552,x1553))
% 1.62/1.67 [156]~E(x1561,x1562)+E(f254(x1563,x1561),f254(x1563,x1562))
% 1.62/1.67 [157]~E(x1571,x1572)+E(f315(x1571,x1573),f315(x1572,x1573))
% 1.62/1.67 [158]~E(x1581,x1582)+E(f315(x1583,x1581),f315(x1583,x1582))
% 1.62/1.67 [159]~E(x1591,x1592)+E(f235(x1591,x1593),f235(x1592,x1593))
% 1.62/1.67 [160]~E(x1601,x1602)+E(f235(x1603,x1601),f235(x1603,x1602))
% 1.62/1.67 [161]~E(x1611,x1612)+E(f466(x1611),f466(x1612))
% 1.62/1.67 [162]~E(x1621,x1622)+E(f182(x1621),f182(x1622))
% 1.62/1.67 [163]~E(x1631,x1632)+E(f407(x1631,x1633),f407(x1632,x1633))
% 1.62/1.67 [164]~E(x1641,x1642)+E(f407(x1643,x1641),f407(x1643,x1642))
% 1.62/1.67 [165]~E(x1651,x1652)+E(f412(x1651,x1653),f412(x1652,x1653))
% 1.62/1.67 [166]~E(x1661,x1662)+E(f412(x1663,x1661),f412(x1663,x1662))
% 1.62/1.67 [167]~E(x1671,x1672)+E(f516(x1671,x1673),f516(x1672,x1673))
% 1.62/1.67 [168]~E(x1681,x1682)+E(f516(x1683,x1681),f516(x1683,x1682))
% 1.62/1.67 [169]~E(x1691,x1692)+E(f467(x1691,x1693),f467(x1692,x1693))
% 1.62/1.67 [170]~E(x1701,x1702)+E(f467(x1703,x1701),f467(x1703,x1702))
% 1.62/1.67 [171]~E(x1711,x1712)+E(f195(x1711,x1713),f195(x1712,x1713))
% 1.62/1.67 [172]~E(x1721,x1722)+E(f195(x1723,x1721),f195(x1723,x1722))
% 1.62/1.67 [173]~E(x1731,x1732)+E(f201(x1731,x1733),f201(x1732,x1733))
% 1.62/1.67 [174]~E(x1741,x1742)+E(f201(x1743,x1741),f201(x1743,x1742))
% 1.62/1.67 [175]~E(x1751,x1752)+E(f305(x1751,x1753),f305(x1752,x1753))
% 1.62/1.67 [176]~E(x1761,x1762)+E(f305(x1763,x1761),f305(x1763,x1762))
% 1.62/1.67 [177]~E(x1771,x1772)+E(f411(x1771,x1773),f411(x1772,x1773))
% 1.62/1.67 [178]~E(x1781,x1782)+E(f411(x1783,x1781),f411(x1783,x1782))
% 1.62/1.67 [179]~E(x1791,x1792)+E(f416(x1791),f416(x1792))
% 1.62/1.67 [180]~E(x1801,x1802)+E(f361(x1801,x1803),f361(x1802,x1803))
% 1.62/1.67 [181]~E(x1811,x1812)+E(f361(x1813,x1811),f361(x1813,x1812))
% 1.62/1.67 [182]~E(x1821,x1822)+E(f296(x1821,x1823),f296(x1822,x1823))
% 1.62/1.67 [183]~E(x1831,x1832)+E(f296(x1833,x1831),f296(x1833,x1832))
% 1.62/1.67 [184]~E(x1841,x1842)+E(f261(x1841,x1843),f261(x1842,x1843))
% 1.62/1.67 [185]~E(x1851,x1852)+E(f261(x1853,x1851),f261(x1853,x1852))
% 1.62/1.67 [186]~E(x1861,x1862)+E(f80(x1861,x1863,x1864,x1865),f80(x1862,x1863,x1864,x1865))
% 1.62/1.67 [187]~E(x1871,x1872)+E(f80(x1873,x1871,x1874,x1875),f80(x1873,x1872,x1874,x1875))
% 1.62/1.67 [188]~E(x1881,x1882)+E(f80(x1883,x1884,x1881,x1885),f80(x1883,x1884,x1882,x1885))
% 1.62/1.67 [189]~E(x1891,x1892)+E(f80(x1893,x1894,x1895,x1891),f80(x1893,x1894,x1895,x1892))
% 1.62/1.67 [190]~E(x1901,x1902)+E(f418(x1901),f418(x1902))
% 1.62/1.67 [191]~E(x1911,x1912)+E(f372(x1911,x1913),f372(x1912,x1913))
% 1.62/1.67 [192]~E(x1921,x1922)+E(f372(x1923,x1921),f372(x1923,x1922))
% 1.62/1.67 [193]~E(x1931,x1932)+E(f491(x1931,x1933),f491(x1932,x1933))
% 1.62/1.67 [194]~E(x1941,x1942)+E(f491(x1943,x1941),f491(x1943,x1942))
% 1.62/1.67 [195]~E(x1951,x1952)+E(f379(x1951,x1953),f379(x1952,x1953))
% 1.62/1.67 [196]~E(x1961,x1962)+E(f379(x1963,x1961),f379(x1963,x1962))
% 1.62/1.67 [197]~E(x1971,x1972)+E(f492(x1971,x1973),f492(x1972,x1973))
% 1.62/1.67 [198]~E(x1981,x1982)+E(f492(x1983,x1981),f492(x1983,x1982))
% 1.62/1.67 [199]~E(x1991,x1992)+E(f263(x1991,x1993),f263(x1992,x1993))
% 1.62/1.67 [200]~E(x2001,x2002)+E(f263(x2003,x2001),f263(x2003,x2002))
% 1.62/1.67 [201]~E(x2011,x2012)+E(f408(x2011,x2013),f408(x2012,x2013))
% 1.62/1.67 [202]~E(x2021,x2022)+E(f408(x2023,x2021),f408(x2023,x2022))
% 1.62/1.67 [203]~E(x2031,x2032)+E(f150(x2031,x2033,x2034),f150(x2032,x2033,x2034))
% 1.62/1.67 [204]~E(x2041,x2042)+E(f150(x2043,x2041,x2044),f150(x2043,x2042,x2044))
% 1.62/1.67 [205]~E(x2051,x2052)+E(f150(x2053,x2054,x2051),f150(x2053,x2054,x2052))
% 1.62/1.67 [206]~E(x2061,x2062)+E(f26(x2061),f26(x2062))
% 1.62/1.67 [207]~E(x2071,x2072)+E(f281(x2071,x2073),f281(x2072,x2073))
% 1.62/1.67 [208]~E(x2081,x2082)+E(f281(x2083,x2081),f281(x2083,x2082))
% 1.62/1.67 [209]~E(x2091,x2092)+E(f260(x2091,x2093),f260(x2092,x2093))
% 1.62/1.67 [210]~E(x2101,x2102)+E(f260(x2103,x2101),f260(x2103,x2102))
% 1.62/1.67 [211]~E(x2111,x2112)+E(f306(x2111,x2113),f306(x2112,x2113))
% 1.62/1.67 [212]~E(x2121,x2122)+E(f306(x2123,x2121),f306(x2123,x2122))
% 1.62/1.67 [213]~E(x2131,x2132)+E(f271(x2131,x2133),f271(x2132,x2133))
% 1.62/1.67 [214]~E(x2141,x2142)+E(f271(x2143,x2141),f271(x2143,x2142))
% 1.62/1.67 [215]~E(x2151,x2152)+E(f299(x2151,x2153),f299(x2152,x2153))
% 1.62/1.67 [216]~E(x2161,x2162)+E(f299(x2163,x2161),f299(x2163,x2162))
% 1.62/1.67 [217]~E(x2171,x2172)+E(f184(x2171),f184(x2172))
% 1.62/1.67 [218]~E(x2181,x2182)+E(f345(x2181,x2183),f345(x2182,x2183))
% 1.62/1.67 [219]~E(x2191,x2192)+E(f345(x2193,x2191),f345(x2193,x2192))
% 1.62/1.67 [220]~E(x2201,x2202)+E(f209(x2201,x2203),f209(x2202,x2203))
% 1.62/1.67 [221]~E(x2211,x2212)+E(f209(x2213,x2211),f209(x2213,x2212))
% 1.62/1.67 [222]~E(x2221,x2222)+E(f289(x2221,x2223),f289(x2222,x2223))
% 1.62/1.67 [223]~E(x2231,x2232)+E(f289(x2233,x2231),f289(x2233,x2232))
% 1.62/1.67 [224]~E(x2241,x2242)+E(f194(x2241,x2243),f194(x2242,x2243))
% 1.62/1.67 [225]~E(x2251,x2252)+E(f194(x2253,x2251),f194(x2253,x2252))
% 1.62/1.67 [226]~E(x2261,x2262)+E(f362(x2261,x2263),f362(x2262,x2263))
% 1.62/1.67 [227]~E(x2271,x2272)+E(f362(x2273,x2271),f362(x2273,x2272))
% 1.62/1.67 [228]~E(x2281,x2282)+E(f232(x2281,x2283),f232(x2282,x2283))
% 1.62/1.67 [229]~E(x2291,x2292)+E(f232(x2293,x2291),f232(x2293,x2292))
% 1.62/1.67 [230]~E(x2301,x2302)+E(f74(x2301),f74(x2302))
% 1.62/1.67 [231]~E(x2311,x2312)+E(f199(x2311,x2313),f199(x2312,x2313))
% 1.62/1.67 [232]~E(x2321,x2322)+E(f199(x2323,x2321),f199(x2323,x2322))
% 1.62/1.67 [233]~E(x2331,x2332)+E(f335(x2331,x2333),f335(x2332,x2333))
% 1.62/1.67 [234]~E(x2341,x2342)+E(f335(x2343,x2341),f335(x2343,x2342))
% 1.62/1.67 [235]~E(x2351,x2352)+E(f401(x2351,x2353),f401(x2352,x2353))
% 1.62/1.67 [236]~E(x2361,x2362)+E(f401(x2363,x2361),f401(x2363,x2362))
% 1.62/1.67 [237]~E(x2371,x2372)+E(f130(x2371,x2373,x2374,x2375),f130(x2372,x2373,x2374,x2375))
% 1.62/1.67 [238]~E(x2381,x2382)+E(f130(x2383,x2381,x2384,x2385),f130(x2383,x2382,x2384,x2385))
% 1.62/1.67 [239]~E(x2391,x2392)+E(f130(x2393,x2394,x2391,x2395),f130(x2393,x2394,x2392,x2395))
% 1.62/1.67 [240]~E(x2401,x2402)+E(f130(x2403,x2404,x2405,x2401),f130(x2403,x2404,x2405,x2402))
% 1.62/1.67 [241]~E(x2411,x2412)+E(f126(x2411,x2413,x2414),f126(x2412,x2413,x2414))
% 1.62/1.67 [242]~E(x2421,x2422)+E(f126(x2423,x2421,x2424),f126(x2423,x2422,x2424))
% 1.62/1.67 [243]~E(x2431,x2432)+E(f126(x2433,x2434,x2431),f126(x2433,x2434,x2432))
% 1.62/1.67 [244]~E(x2441,x2442)+E(f210(x2441,x2443),f210(x2442,x2443))
% 1.62/1.67 [245]~E(x2451,x2452)+E(f210(x2453,x2451),f210(x2453,x2452))
% 1.62/1.67 [246]~E(x2461,x2462)+E(f373(x2461,x2463),f373(x2462,x2463))
% 1.62/1.67 [247]~E(x2471,x2472)+E(f373(x2473,x2471),f373(x2473,x2472))
% 1.62/1.67 [248]~E(x2481,x2482)+E(f293(x2481,x2483),f293(x2482,x2483))
% 1.62/1.67 [249]~E(x2491,x2492)+E(f293(x2493,x2491),f293(x2493,x2492))
% 1.62/1.67 [250]~E(x2501,x2502)+E(f28(x2501),f28(x2502))
% 1.62/1.67 [251]~E(x2511,x2512)+E(f255(x2511,x2513),f255(x2512,x2513))
% 1.62/1.67 [252]~E(x2521,x2522)+E(f255(x2523,x2521),f255(x2523,x2522))
% 1.62/1.67 [253]~E(x2531,x2532)+E(f371(x2531,x2533),f371(x2532,x2533))
% 1.62/1.67 [254]~E(x2541,x2542)+E(f371(x2543,x2541),f371(x2543,x2542))
% 1.62/1.67 [255]~E(x2551,x2552)+E(f166(x2551,x2553),f166(x2552,x2553))
% 1.62/1.67 [256]~E(x2561,x2562)+E(f166(x2563,x2561),f166(x2563,x2562))
% 1.62/1.67 [257]~E(x2571,x2572)+E(f241(x2571,x2573),f241(x2572,x2573))
% 1.62/1.67 [258]~E(x2581,x2582)+E(f241(x2583,x2581),f241(x2583,x2582))
% 1.62/1.67 [259]~E(x2591,x2592)+E(f96(x2591,x2593),f96(x2592,x2593))
% 1.62/1.67 [260]~E(x2601,x2602)+E(f96(x2603,x2601),f96(x2603,x2602))
% 1.62/1.67 [261]~E(x2611,x2612)+E(f336(x2611,x2613),f336(x2612,x2613))
% 1.62/1.67 [262]~E(x2621,x2622)+E(f336(x2623,x2621),f336(x2623,x2622))
% 1.62/1.67 [263]~E(x2631,x2632)+E(f318(x2631,x2633),f318(x2632,x2633))
% 1.62/1.67 [264]~E(x2641,x2642)+E(f318(x2643,x2641),f318(x2643,x2642))
% 1.62/1.67 [265]~E(x2651,x2652)+E(f244(x2651,x2653),f244(x2652,x2653))
% 1.62/1.67 [266]~E(x2661,x2662)+E(f244(x2663,x2661),f244(x2663,x2662))
% 1.62/1.67 [267]~E(x2671,x2672)+E(f363(x2671,x2673),f363(x2672,x2673))
% 1.62/1.67 [268]~E(x2681,x2682)+E(f363(x2683,x2681),f363(x2683,x2682))
% 1.62/1.67 [269]~E(x2691,x2692)+E(f32(x2691),f32(x2692))
% 1.62/1.67 [270]~E(x2701,x2702)+E(f89(x2701,x2703),f89(x2702,x2703))
% 1.62/1.67 [271]~E(x2711,x2712)+E(f89(x2713,x2711),f89(x2713,x2712))
% 1.62/1.67 [272]~E(x2721,x2722)+E(f343(x2721,x2723),f343(x2722,x2723))
% 1.62/1.67 [273]~E(x2731,x2732)+E(f343(x2733,x2731),f343(x2733,x2732))
% 1.62/1.67 [274]~E(x2741,x2742)+E(f205(x2741,x2743),f205(x2742,x2743))
% 1.62/1.67 [275]~E(x2751,x2752)+E(f205(x2753,x2751),f205(x2753,x2752))
% 1.62/1.67 [276]~E(x2761,x2762)+E(f380(x2761,x2763),f380(x2762,x2763))
% 1.62/1.67 [277]~E(x2771,x2772)+E(f380(x2773,x2771),f380(x2773,x2772))
% 1.62/1.67 [278]~E(x2781,x2782)+E(f508(x2781,x2783),f508(x2782,x2783))
% 1.62/1.67 [279]~E(x2791,x2792)+E(f508(x2793,x2791),f508(x2793,x2792))
% 1.62/1.67 [280]~E(x2801,x2802)+E(f189(x2801),f189(x2802))
% 1.62/1.67 [281]~E(x2811,x2812)+E(f419(x2811),f419(x2812))
% 1.62/1.67 [282]~E(x2821,x2822)+E(f124(x2821,x2823,x2824),f124(x2822,x2823,x2824))
% 1.62/1.67 [283]~E(x2831,x2832)+E(f124(x2833,x2831,x2834),f124(x2833,x2832,x2834))
% 1.62/1.67 [284]~E(x2841,x2842)+E(f124(x2843,x2844,x2841),f124(x2843,x2844,x2842))
% 1.62/1.67 [285]~E(x2851,x2852)+E(f160(x2851,x2853),f160(x2852,x2853))
% 1.62/1.67 [286]~E(x2861,x2862)+E(f160(x2863,x2861),f160(x2863,x2862))
% 1.62/1.67 [287]~E(x2871,x2872)+E(f145(x2871,x2873,x2874),f145(x2872,x2873,x2874))
% 1.62/1.67 [288]~E(x2881,x2882)+E(f145(x2883,x2881,x2884),f145(x2883,x2882,x2884))
% 1.62/1.67 [289]~E(x2891,x2892)+E(f145(x2893,x2894,x2891),f145(x2893,x2894,x2892))
% 1.62/1.67 [290]~E(x2901,x2902)+E(f347(x2901,x2903),f347(x2902,x2903))
% 1.62/1.67 [291]~E(x2911,x2912)+E(f347(x2913,x2911),f347(x2913,x2912))
% 1.62/1.67 [292]~E(x2921,x2922)+E(f105(x2921,x2923,x2924),f105(x2922,x2923,x2924))
% 1.62/1.67 [293]~E(x2931,x2932)+E(f105(x2933,x2931,x2934),f105(x2933,x2932,x2934))
% 1.62/1.67 [294]~E(x2941,x2942)+E(f105(x2943,x2944,x2941),f105(x2943,x2944,x2942))
% 1.62/1.67 [295]~E(x2951,x2952)+E(f269(x2951,x2953),f269(x2952,x2953))
% 1.62/1.67 [296]~E(x2961,x2962)+E(f269(x2963,x2961),f269(x2963,x2962))
% 1.62/1.67 [297]~E(x2971,x2972)+E(f505(x2971,x2973),f505(x2972,x2973))
% 1.62/1.67 [298]~E(x2981,x2982)+E(f505(x2983,x2981),f505(x2983,x2982))
% 1.62/1.67 [299]~E(x2991,x2992)+E(f270(x2991,x2993),f270(x2992,x2993))
% 1.62/1.67 [300]~E(x3001,x3002)+E(f270(x3003,x3001),f270(x3003,x3002))
% 1.62/1.67 [301]~E(x3011,x3012)+E(f111(x3011,x3013),f111(x3012,x3013))
% 1.62/1.67 [302]~E(x3021,x3022)+E(f111(x3023,x3021),f111(x3023,x3022))
% 1.62/1.67 [303]~E(x3031,x3032)+E(f392(x3031,x3033),f392(x3032,x3033))
% 1.62/1.67 [304]~E(x3041,x3042)+E(f392(x3043,x3041),f392(x3043,x3042))
% 1.62/1.67 [305]~E(x3051,x3052)+E(f136(x3051),f136(x3052))
% 1.62/1.67 [306]~E(x3061,x3062)+E(f76(x3061),f76(x3062))
% 1.62/1.67 [307]~E(x3071,x3072)+E(f98(x3071,x3073),f98(x3072,x3073))
% 1.62/1.67 [308]~E(x3081,x3082)+E(f98(x3083,x3081),f98(x3083,x3082))
% 1.62/1.67 [309]~E(x3091,x3092)+E(f273(x3091,x3093),f273(x3092,x3093))
% 1.62/1.67 [310]~E(x3101,x3102)+E(f273(x3103,x3101),f273(x3103,x3102))
% 1.62/1.67 [311]~E(x3111,x3112)+E(f25(x3111),f25(x3112))
% 1.62/1.67 [312]~E(x3121,x3122)+E(f278(x3121,x3123),f278(x3122,x3123))
% 1.62/1.67 [313]~E(x3131,x3132)+E(f278(x3133,x3131),f278(x3133,x3132))
% 1.62/1.67 [314]~E(x3141,x3142)+E(f69(x3141,x3143),f69(x3142,x3143))
% 1.62/1.67 [315]~E(x3151,x3152)+E(f69(x3153,x3151),f69(x3153,x3152))
% 1.62/1.67 [316]~E(x3161,x3162)+E(f397(x3161,x3163),f397(x3162,x3163))
% 1.62/1.67 [317]~E(x3171,x3172)+E(f397(x3173,x3171),f397(x3173,x3172))
% 1.62/1.67 [318]~E(x3181,x3182)+E(f420(x3181),f420(x3182))
% 1.62/1.67 [319]~E(x3191,x3192)+E(f167(x3191,x3193),f167(x3192,x3193))
% 1.62/1.67 [320]~E(x3201,x3202)+E(f167(x3203,x3201),f167(x3203,x3202))
% 1.62/1.67 [321]~E(x3211,x3212)+E(f81(x3211),f81(x3212))
% 1.62/1.67 [322]~E(x3221,x3222)+E(f110(x3221,x3223),f110(x3222,x3223))
% 1.62/1.67 [323]~E(x3231,x3232)+E(f110(x3233,x3231),f110(x3233,x3232))
% 1.62/1.67 [324]~E(x3241,x3242)+E(f364(x3241,x3243),f364(x3242,x3243))
% 1.62/1.67 [325]~E(x3251,x3252)+E(f364(x3253,x3251),f364(x3253,x3252))
% 1.62/1.67 [326]~E(x3261,x3262)+E(f325(x3261,x3263),f325(x3262,x3263))
% 1.62/1.67 [327]~E(x3271,x3272)+E(f325(x3273,x3271),f325(x3273,x3272))
% 1.62/1.67 [328]~E(x3281,x3282)+E(f218(x3281,x3283),f218(x3282,x3283))
% 1.62/1.67 [329]~E(x3291,x3292)+E(f218(x3293,x3291),f218(x3293,x3292))
% 1.62/1.67 [330]~E(x3301,x3302)+E(f168(x3301,x3303),f168(x3302,x3303))
% 1.62/1.67 [331]~E(x3311,x3312)+E(f168(x3313,x3311),f168(x3313,x3312))
% 1.62/1.67 [332]~E(x3321,x3322)+E(f88(x3321,x3323),f88(x3322,x3323))
% 1.62/1.67 [333]~E(x3331,x3332)+E(f88(x3333,x3331),f88(x3333,x3332))
% 1.62/1.67 [334]~E(x3341,x3342)+E(f393(x3341,x3343),f393(x3342,x3343))
% 1.62/1.67 [335]~E(x3351,x3352)+E(f393(x3353,x3351),f393(x3353,x3352))
% 1.62/1.67 [336]~E(x3361,x3362)+E(f147(x3361,x3363),f147(x3362,x3363))
% 1.62/1.67 [337]~E(x3371,x3372)+E(f147(x3373,x3371),f147(x3373,x3372))
% 1.62/1.67 [338]~E(x3381,x3382)+E(f403(x3381,x3383),f403(x3382,x3383))
% 1.62/1.67 [339]~E(x3391,x3392)+E(f403(x3393,x3391),f403(x3393,x3392))
% 1.62/1.67 [340]~E(x3401,x3402)+E(f337(x3401,x3403),f337(x3402,x3403))
% 1.62/1.67 [341]~E(x3411,x3412)+E(f337(x3413,x3411),f337(x3413,x3412))
% 1.62/1.67 [342]~E(x3421,x3422)+E(f119(x3421,x3423,x3424,x3425,x3426,x3427),f119(x3422,x3423,x3424,x3425,x3426,x3427))
% 1.62/1.67 [343]~E(x3431,x3432)+E(f119(x3433,x3431,x3434,x3435,x3436,x3437),f119(x3433,x3432,x3434,x3435,x3436,x3437))
% 1.62/1.67 [344]~E(x3441,x3442)+E(f119(x3443,x3444,x3441,x3445,x3446,x3447),f119(x3443,x3444,x3442,x3445,x3446,x3447))
% 1.62/1.67 [345]~E(x3451,x3452)+E(f119(x3453,x3454,x3455,x3451,x3456,x3457),f119(x3453,x3454,x3455,x3452,x3456,x3457))
% 1.62/1.67 [346]~E(x3461,x3462)+E(f119(x3463,x3464,x3465,x3466,x3461,x3467),f119(x3463,x3464,x3465,x3466,x3462,x3467))
% 1.62/1.67 [347]~E(x3471,x3472)+E(f119(x3473,x3474,x3475,x3476,x3477,x3471),f119(x3473,x3474,x3475,x3476,x3477,x3472))
% 1.62/1.67 [348]~E(x3481,x3482)+E(f142(x3481,x3483,x3484,x3485),f142(x3482,x3483,x3484,x3485))
% 1.62/1.67 [349]~E(x3491,x3492)+E(f142(x3493,x3491,x3494,x3495),f142(x3493,x3492,x3494,x3495))
% 1.62/1.67 [350]~E(x3501,x3502)+E(f142(x3503,x3504,x3501,x3505),f142(x3503,x3504,x3502,x3505))
% 1.62/1.67 [351]~E(x3511,x3512)+E(f142(x3513,x3514,x3515,x3511),f142(x3513,x3514,x3515,x3512))
% 1.62/1.67 [352]~E(x3521,x3522)+E(f215(x3521,x3523),f215(x3522,x3523))
% 1.62/1.67 [353]~E(x3531,x3532)+E(f215(x3533,x3531),f215(x3533,x3532))
% 1.62/1.67 [354]~E(x3541,x3542)+E(f219(x3541,x3543),f219(x3542,x3543))
% 1.62/1.67 [355]~E(x3551,x3552)+E(f219(x3553,x3551),f219(x3553,x3552))
% 1.62/1.67 [356]~E(x3561,x3562)+E(f31(x3561),f31(x3562))
% 1.62/1.67 [357]~E(x3571,x3572)+E(f177(x3571),f177(x3572))
% 1.62/1.67 [358]~E(x3581,x3582)+E(f95(x3581,x3583),f95(x3582,x3583))
% 1.62/1.67 [359]~E(x3591,x3592)+E(f95(x3593,x3591),f95(x3593,x3592))
% 1.62/1.67 [360]~E(x3601,x3602)+E(f316(x3601,x3603),f316(x3602,x3603))
% 1.62/1.67 [361]~E(x3611,x3612)+E(f316(x3613,x3611),f316(x3613,x3612))
% 1.62/1.67 [362]~E(x3621,x3622)+E(f242(x3621,x3623),f242(x3622,x3623))
% 1.62/1.67 [363]~E(x3631,x3632)+E(f242(x3633,x3631),f242(x3633,x3632))
% 1.62/1.67 [364]~E(x3641,x3642)+E(f329(x3641,x3643),f329(x3642,x3643))
% 1.62/1.67 [365]~E(x3651,x3652)+E(f329(x3653,x3651),f329(x3653,x3652))
% 1.62/1.67 [366]~E(x3661,x3662)+E(f228(x3661,x3663),f228(x3662,x3663))
% 1.62/1.67 [367]~E(x3671,x3672)+E(f228(x3673,x3671),f228(x3673,x3672))
% 1.62/1.67 [368]~E(x3681,x3682)+E(f276(x3681,x3683),f276(x3682,x3683))
% 1.62/1.67 [369]~E(x3691,x3692)+E(f276(x3693,x3691),f276(x3693,x3692))
% 1.62/1.67 [370]~E(x3701,x3702)+E(f94(x3701),f94(x3702))
% 1.62/1.67 [371]~E(x3711,x3712)+E(f13(x3711,x3713,x3714),f13(x3712,x3713,x3714))
% 1.62/1.67 [372]~E(x3721,x3722)+E(f13(x3723,x3721,x3724),f13(x3723,x3722,x3724))
% 1.62/1.67 [373]~E(x3731,x3732)+E(f13(x3733,x3734,x3731),f13(x3733,x3734,x3732))
% 1.62/1.67 [374]~E(x3741,x3742)+E(f123(x3741,x3743),f123(x3742,x3743))
% 1.62/1.67 [375]~E(x3751,x3752)+E(f123(x3753,x3751),f123(x3753,x3752))
% 1.62/1.67 [376]~E(x3761,x3762)+E(f295(x3761,x3763),f295(x3762,x3763))
% 1.62/1.67 [377]~E(x3771,x3772)+E(f295(x3773,x3771),f295(x3773,x3772))
% 1.62/1.67 [378]~E(x3781,x3782)+E(f352(x3781,x3783),f352(x3782,x3783))
% 1.62/1.67 [379]~E(x3791,x3792)+E(f352(x3793,x3791),f352(x3793,x3792))
% 1.62/1.67 [380]~E(x3801,x3802)+E(f108(x3801,x3803,x3804,x3805,x3806),f108(x3802,x3803,x3804,x3805,x3806))
% 1.62/1.67 [381]~E(x3811,x3812)+E(f108(x3813,x3811,x3814,x3815,x3816),f108(x3813,x3812,x3814,x3815,x3816))
% 1.62/1.67 [382]~E(x3821,x3822)+E(f108(x3823,x3824,x3821,x3825,x3826),f108(x3823,x3824,x3822,x3825,x3826))
% 1.62/1.67 [383]~E(x3831,x3832)+E(f108(x3833,x3834,x3835,x3831,x3836),f108(x3833,x3834,x3835,x3832,x3836))
% 1.62/1.67 [384]~E(x3841,x3842)+E(f108(x3843,x3844,x3845,x3846,x3841),f108(x3843,x3844,x3845,x3846,x3842))
% 1.62/1.67 [385]~E(x3851,x3852)+E(f68(x3851,x3853),f68(x3852,x3853))
% 1.62/1.67 [386]~E(x3861,x3862)+E(f68(x3863,x3861),f68(x3863,x3862))
% 1.62/1.67 [387]~E(x3871,x3872)+E(f127(x3871,x3873,x3874),f127(x3872,x3873,x3874))
% 1.62/1.67 [388]~E(x3881,x3882)+E(f127(x3883,x3881,x3884),f127(x3883,x3882,x3884))
% 1.62/1.67 [389]~E(x3891,x3892)+E(f127(x3893,x3894,x3891),f127(x3893,x3894,x3892))
% 1.62/1.67 [390]~E(x3901,x3902)+E(f283(x3901,x3903),f283(x3902,x3903))
% 1.62/1.67 [391]~E(x3911,x3912)+E(f283(x3913,x3911),f283(x3913,x3912))
% 1.62/1.67 [392]~E(x3921,x3922)+E(f490(x3921,x3923),f490(x3922,x3923))
% 1.62/1.67 [393]~E(x3931,x3932)+E(f490(x3933,x3931),f490(x3933,x3932))
% 1.62/1.67 [394]~E(x3941,x3942)+E(f236(x3941,x3943),f236(x3942,x3943))
% 1.62/1.67 [395]~E(x3951,x3952)+E(f236(x3953,x3951),f236(x3953,x3952))
% 1.62/1.67 [396]~E(x3961,x3962)+E(f319(x3961,x3963),f319(x3962,x3963))
% 1.62/1.67 [397]~E(x3971,x3972)+E(f319(x3973,x3971),f319(x3973,x3972))
% 1.62/1.67 [398]~E(x3981,x3982)+E(f297(x3981,x3983),f297(x3982,x3983))
% 1.62/1.67 [399]~E(x3991,x3992)+E(f297(x3993,x3991),f297(x3993,x3992))
% 1.62/1.67 [400]~E(x4001,x4002)+E(f151(x4001),f151(x4002))
% 1.62/1.67 [401]~E(x4011,x4012)+E(f23(x4011),f23(x4012))
% 1.62/1.67 [402]~E(x4021,x4022)+E(f106(x4021,x4023),f106(x4022,x4023))
% 1.62/1.67 [403]~E(x4031,x4032)+E(f106(x4033,x4031),f106(x4033,x4032))
% 1.62/1.67 [404]~E(x4041,x4042)+E(f294(x4041,x4043),f294(x4042,x4043))
% 1.62/1.67 [405]~E(x4051,x4052)+E(f294(x4053,x4051),f294(x4053,x4052))
% 1.62/1.67 [406]~E(x4061,x4062)+E(f143(x4061,x4063,x4064,x4065),f143(x4062,x4063,x4064,x4065))
% 1.62/1.67 [407]~E(x4071,x4072)+E(f143(x4073,x4071,x4074,x4075),f143(x4073,x4072,x4074,x4075))
% 1.62/1.67 [408]~E(x4081,x4082)+E(f143(x4083,x4084,x4081,x4085),f143(x4083,x4084,x4082,x4085))
% 1.62/1.67 [409]~E(x4091,x4092)+E(f143(x4093,x4094,x4095,x4091),f143(x4093,x4094,x4095,x4092))
% 1.62/1.67 [410]~E(x4101,x4102)+E(f257(x4101,x4103),f257(x4102,x4103))
% 1.62/1.67 [411]~E(x4111,x4112)+E(f257(x4113,x4111),f257(x4113,x4112))
% 1.62/1.67 [412]~E(x4121,x4122)+E(f30(x4121),f30(x4122))
% 1.62/1.67 [413]~E(x4131,x4132)+E(f376(x4131,x4133),f376(x4132,x4133))
% 1.62/1.67 [414]~E(x4141,x4142)+E(f376(x4143,x4141),f376(x4143,x4142))
% 1.62/1.67 [415]~E(x4151,x4152)+E(f390(x4151,x4153),f390(x4152,x4153))
% 1.62/1.67 [416]~E(x4161,x4162)+E(f390(x4163,x4161),f390(x4163,x4162))
% 1.62/1.67 [417]~E(x4171,x4172)+E(f85(x4171,x4173),f85(x4172,x4173))
% 1.62/1.67 [418]~E(x4181,x4182)+E(f85(x4183,x4181),f85(x4183,x4182))
% 1.62/1.67 [419]~E(x4191,x4192)+E(f154(x4191),f154(x4192))
% 1.62/1.67 [420]~E(x4201,x4202)+E(f366(x4201,x4203),f366(x4202,x4203))
% 1.62/1.67 [421]~E(x4211,x4212)+E(f366(x4213,x4211),f366(x4213,x4212))
% 1.62/1.67 [422]~E(x4221,x4222)+E(f356(x4221,x4223),f356(x4222,x4223))
% 1.62/1.67 [423]~E(x4231,x4232)+E(f356(x4233,x4231),f356(x4233,x4232))
% 1.62/1.67 [424]~E(x4241,x4242)+E(f78(x4241),f78(x4242))
% 1.62/1.67 [425]~E(x4251,x4252)+E(f70(x4251,x4253),f70(x4252,x4253))
% 1.62/1.67 [426]~E(x4261,x4262)+E(f70(x4263,x4261),f70(x4263,x4262))
% 1.62/1.67 [427]~E(x4271,x4272)+E(f164(x4271,x4273,x4274),f164(x4272,x4273,x4274))
% 1.62/1.67 [428]~E(x4281,x4282)+E(f164(x4283,x4281,x4284),f164(x4283,x4282,x4284))
% 1.62/1.67 [429]~E(x4291,x4292)+E(f164(x4293,x4294,x4291),f164(x4293,x4294,x4292))
% 1.62/1.67 [430]~E(x4301,x4302)+E(f138(x4301,x4303),f138(x4302,x4303))
% 1.62/1.67 [431]~E(x4311,x4312)+E(f138(x4313,x4311),f138(x4313,x4312))
% 1.62/1.67 [432]~E(x4321,x4322)+E(f114(x4321,x4323),f114(x4322,x4323))
% 1.62/1.67 [433]~E(x4331,x4332)+E(f114(x4333,x4331),f114(x4333,x4332))
% 1.62/1.67 [434]~E(x4341,x4342)+E(f149(x4341,x4343,x4344),f149(x4342,x4343,x4344))
% 1.62/1.67 [435]~E(x4351,x4352)+E(f149(x4353,x4351,x4354),f149(x4353,x4352,x4354))
% 1.62/1.67 [436]~E(x4361,x4362)+E(f149(x4363,x4364,x4361),f149(x4363,x4364,x4362))
% 1.62/1.67 [437]~E(x4371,x4372)+E(f398(x4371,x4373),f398(x4372,x4373))
% 1.62/1.67 [438]~E(x4381,x4382)+E(f398(x4383,x4381),f398(x4383,x4382))
% 1.62/1.67 [439]~E(x4391,x4392)+E(f93(x4391),f93(x4392))
% 1.62/1.67 [440]~E(x4401,x4402)+E(f262(x4401,x4403),f262(x4402,x4403))
% 1.62/1.67 [441]~E(x4411,x4412)+E(f262(x4413,x4411),f262(x4413,x4412))
% 1.62/1.67 [442]~E(x4421,x4422)+E(f423(x4421),f423(x4422))
% 1.62/1.67 [443]~E(x4431,x4432)+E(f330(x4431,x4433),f330(x4432,x4433))
% 1.62/1.67 [444]~E(x4441,x4442)+E(f330(x4443,x4441),f330(x4443,x4442))
% 1.62/1.67 [445]~E(x4451,x4452)+E(f498(x4451,x4453),f498(x4452,x4453))
% 1.62/1.67 [446]~E(x4461,x4462)+E(f498(x4463,x4461),f498(x4463,x4462))
% 1.62/1.67 [447]~E(x4471,x4472)+E(f146(x4471,x4473),f146(x4472,x4473))
% 1.62/1.67 [448]~E(x4481,x4482)+E(f146(x4483,x4481),f146(x4483,x4482))
% 1.62/1.67 [449]~E(x4491,x4492)+E(f424(x4491),f424(x4492))
% 1.62/1.67 [450]~E(x4501,x4502)+E(f27(x4501),f27(x4502))
% 1.62/1.67 [451]~E(x4511,x4512)+E(f75(x4511),f75(x4512))
% 1.62/1.67 [452]~E(x4521,x4522)+E(f421(x4521),f421(x4522))
% 1.62/1.67 [453]~E(x4531,x4532)+E(f171(x4531,x4533),f171(x4532,x4533))
% 1.62/1.67 [454]~E(x4541,x4542)+E(f171(x4543,x4541),f171(x4543,x4542))
% 1.62/1.67 [455]~E(x4551,x4552)+E(f86(x4551,x4553),f86(x4552,x4553))
% 1.62/1.67 [456]~E(x4561,x4562)+E(f86(x4563,x4561),f86(x4563,x4562))
% 1.62/1.67 [457]~E(x4571,x4572)+E(f112(x4571,x4573,x4574),f112(x4572,x4573,x4574))
% 1.62/1.67 [458]~E(x4581,x4582)+E(f112(x4583,x4581,x4584),f112(x4583,x4582,x4584))
% 1.62/1.67 [459]~E(x4591,x4592)+E(f112(x4593,x4594,x4591),f112(x4593,x4594,x4592))
% 1.62/1.67 [460]~E(x4601,x4602)+E(f307(x4601,x4603),f307(x4602,x4603))
% 1.62/1.67 [461]~E(x4611,x4612)+E(f307(x4613,x4611),f307(x4613,x4612))
% 1.62/1.67 [462]~E(x4621,x4622)+E(f211(x4621,x4623),f211(x4622,x4623))
% 1.62/1.67 [463]~E(x4631,x4632)+E(f211(x4633,x4631),f211(x4633,x4632))
% 1.62/1.67 [464]~E(x4641,x4642)+E(f141(x4641,x4643,x4644,x4645),f141(x4642,x4643,x4644,x4645))
% 1.62/1.67 [465]~E(x4651,x4652)+E(f141(x4653,x4651,x4654,x4655),f141(x4653,x4652,x4654,x4655))
% 1.62/1.67 [466]~E(x4661,x4662)+E(f141(x4663,x4664,x4661,x4665),f141(x4663,x4664,x4662,x4665))
% 1.62/1.67 [467]~E(x4671,x4672)+E(f141(x4673,x4674,x4675,x4671),f141(x4673,x4674,x4675,x4672))
% 1.62/1.67 [468]~E(x4681,x4682)+E(f129(x4681,x4683,x4684),f129(x4682,x4683,x4684))
% 1.62/1.67 [469]~E(x4691,x4692)+E(f129(x4693,x4691,x4694),f129(x4693,x4692,x4694))
% 1.62/1.67 [470]~E(x4701,x4702)+E(f129(x4703,x4704,x4701),f129(x4703,x4704,x4702))
% 1.62/1.67 [471]~E(x4711,x4712)+E(f29(x4711),f29(x4712))
% 1.62/1.67 [472]~E(x4721,x4722)+E(f370(x4721,x4723),f370(x4722,x4723))
% 1.62/1.67 [473]~E(x4731,x4732)+E(f370(x4733,x4731),f370(x4733,x4732))
% 1.62/1.67 [474]~E(x4741,x4742)+E(f176(x4741),f176(x4742))
% 1.62/1.67 [475]~E(x4751,x4752)+E(f387(x4751,x4753),f387(x4752,x4753))
% 1.62/1.67 [476]~E(x4761,x4762)+E(f387(x4763,x4761),f387(x4763,x4762))
% 1.62/1.67 [477]~E(x4771,x4772)+E(f190(x4771),f190(x4772))
% 1.62/1.67 [478]~E(x4781,x4782)+E(f24(x4781),f24(x4782))
% 1.62/1.67 [479]~E(x4791,x4792)+E(f375(x4791,x4793),f375(x4792,x4793))
% 1.62/1.67 [480]~E(x4801,x4802)+E(f375(x4803,x4801),f375(x4803,x4802))
% 1.62/1.67 [481]~E(x4811,x4812)+E(f231(x4811,x4813),f231(x4812,x4813))
% 1.62/1.67 [482]~E(x4821,x4822)+E(f231(x4823,x4821),f231(x4823,x4822))
% 1.62/1.67 [483]~E(x4831,x4832)+E(f405(x4831,x4833),f405(x4832,x4833))
% 1.62/1.67 [484]~E(x4841,x4842)+E(f405(x4843,x4841),f405(x4843,x4842))
% 1.62/1.67 [485]~E(x4851,x4852)+E(f409(x4851,x4853),f409(x4852,x4853))
% 1.62/1.67 [486]~E(x4861,x4862)+E(f409(x4863,x4861),f409(x4863,x4862))
% 1.62/1.67 [487]~E(x4871,x4872)+E(f317(x4871,x4873),f317(x4872,x4873))
% 1.62/1.67 [488]~E(x4881,x4882)+E(f317(x4883,x4881),f317(x4883,x4882))
% 1.62/1.67 [489]~E(x4891,x4892)+E(f120(x4891,x4893),f120(x4892,x4893))
% 1.62/1.67 [490]~E(x4901,x4902)+E(f120(x4903,x4901),f120(x4903,x4902))
% 1.62/1.67 [491]~E(x4911,x4912)+E(f309(x4911,x4913),f309(x4912,x4913))
% 1.62/1.67 [492]~E(x4921,x4922)+E(f309(x4923,x4921),f309(x4923,x4922))
% 1.62/1.67 [493]~E(x4931,x4932)+E(f169(x4931),f169(x4932))
% 1.62/1.67 [494]~E(x4941,x4942)+E(f507(x4941,x4943),f507(x4942,x4943))
% 1.62/1.67 [495]~E(x4951,x4952)+E(f507(x4953,x4951),f507(x4953,x4952))
% 1.62/1.67 [496]~E(x4961,x4962)+E(f165(x4961),f165(x4962))
% 1.62/1.67 [497]~E(x4971,x4972)+E(f79(x4971),f79(x4972))
% 1.62/1.67 [498]~E(x4981,x4982)+E(f331(x4981,x4983),f331(x4982,x4983))
% 1.62/1.67 [499]~E(x4991,x4992)+E(f331(x4993,x4991),f331(x4993,x4992))
% 1.62/1.67 [500]~E(x5001,x5002)+E(f502(x5001,x5003),f502(x5002,x5003))
% 1.62/1.67 [501]~E(x5011,x5012)+E(f502(x5013,x5011),f502(x5013,x5012))
% 1.62/1.67 [502]~E(x5021,x5022)+E(f118(x5021,x5023),f118(x5022,x5023))
% 1.62/1.67 [503]~E(x5031,x5032)+E(f118(x5033,x5031),f118(x5033,x5032))
% 1.62/1.67 [504]~E(x5041,x5042)+E(f417(x5041,x5043,x5044),f417(x5042,x5043,x5044))
% 1.62/1.67 [505]~E(x5051,x5052)+E(f417(x5053,x5051,x5054),f417(x5053,x5052,x5054))
% 1.62/1.67 [506]~E(x5061,x5062)+E(f417(x5063,x5064,x5061),f417(x5063,x5064,x5062))
% 1.62/1.67 [507]~E(x5071,x5072)+E(f521(x5071,x5073),f521(x5072,x5073))
% 1.62/1.67 [508]~E(x5081,x5082)+E(f521(x5083,x5081),f521(x5083,x5082))
% 1.62/1.67 [509]~E(x5091,x5092)+E(f212(x5091,x5093),f212(x5092,x5093))
% 1.62/1.67 [510]~E(x5101,x5102)+E(f212(x5103,x5101),f212(x5103,x5102))
% 1.62/1.67 [511]~E(x5111,x5112)+E(f107(x5111),f107(x5112))
% 1.62/1.67 [512]~E(x5121,x5122)+E(f77(x5121),f77(x5122))
% 1.62/1.67 [513]~E(x5131,x5132)+E(f279(x5131,x5133),f279(x5132,x5133))
% 1.62/1.67 [514]~E(x5141,x5142)+E(f279(x5143,x5141),f279(x5143,x5142))
% 1.62/1.67 [515]~E(x5151,x5152)+E(f267(x5151,x5153),f267(x5152,x5153))
% 1.62/1.67 [516]~E(x5161,x5162)+E(f267(x5163,x5161),f267(x5163,x5162))
% 1.62/1.67 [517]~E(x5171,x5172)+E(f213(x5171,x5173),f213(x5172,x5173))
% 1.62/1.67 [518]~E(x5181,x5182)+E(f213(x5183,x5181),f213(x5183,x5182))
% 1.62/1.67 [519]~E(x5191,x5192)+E(f214(x5191,x5193),f214(x5192,x5193))
% 1.62/1.67 [520]~E(x5201,x5202)+E(f214(x5203,x5201),f214(x5203,x5202))
% 1.62/1.67 [521]~E(x5211,x5212)+E(f349(x5211,x5213),f349(x5212,x5213))
% 1.62/1.67 [522]~E(x5221,x5222)+E(f349(x5223,x5221),f349(x5223,x5222))
% 1.62/1.67 [523]~E(x5231,x5232)+E(f367(x5231,x5233),f367(x5232,x5233))
% 1.62/1.67 [524]~E(x5241,x5242)+E(f367(x5243,x5241),f367(x5243,x5242))
% 1.62/1.67 [525]~E(x5251,x5252)+E(f382(x5251,x5253),f382(x5252,x5253))
% 1.62/1.67 [526]~E(x5261,x5262)+E(f382(x5263,x5261),f382(x5263,x5262))
% 1.62/1.67 [527]~E(x5271,x5272)+E(f196(x5271,x5273),f196(x5272,x5273))
% 1.62/1.67 [528]~E(x5281,x5282)+E(f196(x5283,x5281),f196(x5283,x5282))
% 1.62/1.67 [529]~E(x5291,x5292)+E(f515(x5291,x5293),f515(x5292,x5293))
% 1.62/1.67 [530]~E(x5301,x5302)+E(f515(x5303,x5301),f515(x5303,x5302))
% 1.62/1.67 [531]~E(x5311,x5312)+E(f99(x5311,x5313,x5314,x5315,x5316,x5317),f99(x5312,x5313,x5314,x5315,x5316,x5317))
% 1.62/1.67 [532]~E(x5321,x5322)+E(f99(x5323,x5321,x5324,x5325,x5326,x5327),f99(x5323,x5322,x5324,x5325,x5326,x5327))
% 1.62/1.67 [533]~E(x5331,x5332)+E(f99(x5333,x5334,x5331,x5335,x5336,x5337),f99(x5333,x5334,x5332,x5335,x5336,x5337))
% 1.62/1.67 [534]~E(x5341,x5342)+E(f99(x5343,x5344,x5345,x5341,x5346,x5347),f99(x5343,x5344,x5345,x5342,x5346,x5347))
% 1.62/1.67 [535]~E(x5351,x5352)+E(f99(x5353,x5354,x5355,x5356,x5351,x5357),f99(x5353,x5354,x5355,x5356,x5352,x5357))
% 1.62/1.67 [536]~E(x5361,x5362)+E(f99(x5363,x5364,x5365,x5366,x5367,x5361),f99(x5363,x5364,x5365,x5366,x5367,x5362))
% 1.62/1.67 [537]~E(x5371,x5372)+E(f100(x5371,x5373),f100(x5372,x5373))
% 1.62/1.67 [538]~E(x5381,x5382)+E(f100(x5383,x5381),f100(x5383,x5382))
% 1.62/1.67 [539]~E(x5391,x5392)+E(f313(x5391,x5393),f313(x5392,x5393))
% 1.62/1.67 [540]~E(x5401,x5402)+E(f313(x5403,x5401),f313(x5403,x5402))
% 1.62/1.67 [541]~E(x5411,x5412)+E(f285(x5411,x5413),f285(x5412,x5413))
% 1.62/1.67 [542]~E(x5421,x5422)+E(f285(x5423,x5421),f285(x5423,x5422))
% 1.62/1.67 [543]~E(x5431,x5432)+E(f256(x5431,x5433),f256(x5432,x5433))
% 1.62/1.67 [544]~E(x5441,x5442)+E(f256(x5443,x5441),f256(x5443,x5442))
% 1.62/1.67 [545]~E(x5451,x5452)+E(f116(x5451,x5453),f116(x5452,x5453))
% 1.62/1.67 [546]~E(x5461,x5462)+E(f116(x5463,x5461),f116(x5463,x5462))
% 1.62/1.67 [547]~E(x5471,x5472)+E(f159(x5471,x5473),f159(x5472,x5473))
% 1.62/1.67 [548]~E(x5481,x5482)+E(f159(x5483,x5481),f159(x5483,x5482))
% 1.62/1.67 [549]~E(x5491,x5492)+E(f322(x5491,x5493),f322(x5492,x5493))
% 1.62/1.67 [550]~E(x5501,x5502)+E(f322(x5503,x5501),f322(x5503,x5502))
% 1.62/1.67 [551]~E(x5511,x5512)+E(f217(x5511,x5513),f217(x5512,x5513))
% 1.62/1.67 [552]~E(x5521,x5522)+E(f217(x5523,x5521),f217(x5523,x5522))
% 1.62/1.67 [553]~E(x5531,x5532)+E(f346(x5531,x5533),f346(x5532,x5533))
% 1.62/1.67 [554]~E(x5541,x5542)+E(f346(x5543,x5541),f346(x5543,x5542))
% 1.62/1.67 [555]~E(x5551,x5552)+E(f396(x5551,x5553),f396(x5552,x5553))
% 1.62/1.67 [556]~E(x5561,x5562)+E(f396(x5563,x5561),f396(x5563,x5562))
% 1.62/1.67 [557]~E(x5571,x5572)+E(f266(x5571,x5573),f266(x5572,x5573))
% 1.62/1.67 [558]~E(x5581,x5582)+E(f266(x5583,x5581),f266(x5583,x5582))
% 1.62/1.67 [559]~E(x5591,x5592)+E(f156(x5591,x5593),f156(x5592,x5593))
% 1.62/1.67 [560]~E(x5601,x5602)+E(f156(x5603,x5601),f156(x5603,x5602))
% 1.62/1.67 [561]~E(x5611,x5612)+E(f172(x5611,x5613,x5614,x5615,x5616),f172(x5612,x5613,x5614,x5615,x5616))
% 1.62/1.67 [562]~E(x5621,x5622)+E(f172(x5623,x5621,x5624,x5625,x5626),f172(x5623,x5622,x5624,x5625,x5626))
% 1.62/1.67 [563]~E(x5631,x5632)+E(f172(x5633,x5634,x5631,x5635,x5636),f172(x5633,x5634,x5632,x5635,x5636))
% 1.62/1.67 [564]~E(x5641,x5642)+E(f172(x5643,x5644,x5645,x5641,x5646),f172(x5643,x5644,x5645,x5642,x5646))
% 1.62/1.67 [565]~E(x5651,x5652)+E(f172(x5653,x5654,x5655,x5656,x5651),f172(x5653,x5654,x5655,x5656,x5652))
% 1.62/1.67 [566]~E(x5661,x5662)+E(f203(x5661,x5663),f203(x5662,x5663))
% 1.62/1.67 [567]~E(x5671,x5672)+E(f203(x5673,x5671),f203(x5673,x5672))
% 1.62/1.67 [568]~E(x5681,x5682)+E(f91(x5681,x5683),f91(x5682,x5683))
% 1.62/1.67 [569]~E(x5691,x5692)+E(f91(x5693,x5691),f91(x5693,x5692))
% 1.62/1.67 [570]~E(x5701,x5702)+E(f222(x5701,x5703),f222(x5702,x5703))
% 1.62/1.67 [571]~E(x5711,x5712)+E(f222(x5713,x5711),f222(x5713,x5712))
% 1.62/1.67 [572]~E(x5721,x5722)+E(f157(x5721,x5723),f157(x5722,x5723))
% 1.62/1.67 [573]~E(x5731,x5732)+E(f157(x5733,x5731),f157(x5733,x5732))
% 1.62/1.67 [574]~E(x5741,x5742)+E(f310(x5741,x5743),f310(x5742,x5743))
% 1.62/1.67 [575]~E(x5751,x5752)+E(f310(x5753,x5751),f310(x5753,x5752))
% 1.62/1.67 [576]~E(x5761,x5762)+E(f282(x5761,x5763),f282(x5762,x5763))
% 1.62/1.67 [577]~E(x5771,x5772)+E(f282(x5773,x5771),f282(x5773,x5772))
% 1.62/1.67 [578]~E(x5781,x5782)+E(f90(x5781,x5783),f90(x5782,x5783))
% 1.62/1.67 [579]~E(x5791,x5792)+E(f90(x5793,x5791),f90(x5793,x5792))
% 1.62/1.67 [580]~E(x5801,x5802)+E(f413(x5801,x5803),f413(x5802,x5803))
% 1.62/1.67 [581]~E(x5811,x5812)+E(f413(x5813,x5811),f413(x5813,x5812))
% 1.62/1.67 [582]~E(x5821,x5822)+E(f258(x5821,x5823),f258(x5822,x5823))
% 1.62/1.67 [583]~E(x5831,x5832)+E(f258(x5833,x5831),f258(x5833,x5832))
% 1.62/1.67 [584]~E(x5841,x5842)+E(f97(x5841,x5843),f97(x5842,x5843))
% 1.62/1.67 [585]~E(x5851,x5852)+E(f97(x5853,x5851),f97(x5853,x5852))
% 1.62/1.67 [586]~E(x5861,x5862)+E(f259(x5861,x5863),f259(x5862,x5863))
% 1.62/1.67 [587]~E(x5871,x5872)+E(f259(x5873,x5871),f259(x5873,x5872))
% 1.62/1.67 [588]~E(x5881,x5882)+E(f101(x5881,x5883),f101(x5882,x5883))
% 1.62/1.67 [589]~E(x5891,x5892)+E(f101(x5893,x5891),f101(x5893,x5892))
% 1.62/1.67 [590]~E(x5901,x5902)+E(f220(x5901,x5903),f220(x5902,x5903))
% 1.62/1.67 [591]~E(x5911,x5912)+E(f220(x5913,x5911),f220(x5913,x5912))
% 1.62/1.67 [592]~E(x5921,x5922)+E(f139(x5921,x5923,x5924),f139(x5922,x5923,x5924))
% 1.62/1.67 [593]~E(x5931,x5932)+E(f139(x5933,x5931,x5934),f139(x5933,x5932,x5934))
% 1.62/1.67 [594]~E(x5941,x5942)+E(f139(x5943,x5944,x5941),f139(x5943,x5944,x5942))
% 1.62/1.67 [595]~E(x5951,x5952)+E(f131(x5951,x5953,x5954),f131(x5952,x5953,x5954))
% 1.62/1.67 [596]~E(x5961,x5962)+E(f131(x5963,x5961,x5964),f131(x5963,x5962,x5964))
% 1.62/1.67 [597]~E(x5971,x5972)+E(f131(x5973,x5974,x5971),f131(x5973,x5974,x5972))
% 1.62/1.67 [598]~E(x5981,x5982)+E(f414(x5981,x5983),f414(x5982,x5983))
% 1.62/1.67 [599]~E(x5991,x5992)+E(f414(x5993,x5991),f414(x5993,x5992))
% 1.62/1.67 [600]~E(x6001,x6002)+E(f140(x6001,x6003,x6004),f140(x6002,x6003,x6004))
% 1.62/1.67 [601]~E(x6011,x6012)+E(f140(x6013,x6011,x6014),f140(x6013,x6012,x6014))
% 1.62/1.67 [602]~E(x6021,x6022)+E(f140(x6023,x6024,x6021),f140(x6023,x6024,x6022))
% 1.62/1.67 [603]~E(x6031,x6032)+E(f395(x6031,x6033),f395(x6032,x6033))
% 1.62/1.67 [604]~E(x6041,x6042)+E(f395(x6043,x6041),f395(x6043,x6042))
% 1.62/1.67 [605]~E(x6051,x6052)+E(f338(x6051,x6053),f338(x6052,x6053))
% 1.62/1.67 [606]~E(x6061,x6062)+E(f338(x6063,x6061),f338(x6063,x6062))
% 1.62/1.67 [607]~E(x6071,x6072)+E(f122(x6071,x6073),f122(x6072,x6073))
% 1.62/1.67 [608]~E(x6081,x6082)+E(f122(x6083,x6081),f122(x6083,x6082))
% 1.62/1.67 [609]~E(x6091,x6092)+E(f340(x6091,x6093),f340(x6092,x6093))
% 1.62/1.67 [610]~E(x6101,x6102)+E(f340(x6103,x6101),f340(x6103,x6102))
% 1.62/1.67 [611]~E(x6111,x6112)+E(f365(x6111,x6113),f365(x6112,x6113))
% 1.62/1.67 [612]~E(x6121,x6122)+E(f365(x6123,x6121),f365(x6123,x6122))
% 1.62/1.67 [613]~E(x6131,x6132)+E(f264(x6131,x6133),f264(x6132,x6133))
% 1.62/1.67 [614]~E(x6141,x6142)+E(f264(x6143,x6141),f264(x6143,x6142))
% 1.62/1.67 [615]~E(x6151,x6152)+E(f198(x6151,x6153),f198(x6152,x6153))
% 1.62/1.67 [616]~E(x6161,x6162)+E(f198(x6163,x6161),f198(x6163,x6162))
% 1.62/1.67 [617]~E(x6171,x6172)+E(f158(x6171,x6173),f158(x6172,x6173))
% 1.62/1.67 [618]~E(x6181,x6182)+E(f158(x6183,x6181),f158(x6183,x6182))
% 1.62/1.67 [619]~E(x6191,x6192)+E(f501(x6191,x6193),f501(x6192,x6193))
% 1.62/1.67 [620]~E(x6201,x6202)+E(f501(x6203,x6201),f501(x6203,x6202))
% 1.62/1.67 [621]~E(x6211,x6212)+E(f109(x6211),f109(x6212))
% 1.62/1.67 [622]~E(x6221,x6222)+E(f499(x6221,x6223),f499(x6222,x6223))
% 1.62/1.67 [623]~E(x6231,x6232)+E(f499(x6233,x6231),f499(x6233,x6232))
% 1.62/1.67 [624]~E(x6241,x6242)+E(f284(x6241,x6243),f284(x6242,x6243))
% 1.62/1.67 [625]~E(x6251,x6252)+E(f284(x6253,x6251),f284(x6253,x6252))
% 1.62/1.67 [626]~E(x6261,x6262)+E(f520(x6261,x6263),f520(x6262,x6263))
% 1.62/1.67 [627]~E(x6271,x6272)+E(f520(x6273,x6271),f520(x6273,x6272))
% 1.62/1.67 [628]~E(x6281,x6282)+E(f308(x6281,x6283),f308(x6282,x6283))
% 1.62/1.67 [629]~E(x6291,x6292)+E(f308(x6293,x6291),f308(x6293,x6292))
% 1.62/1.67 [630]~E(x6301,x6302)+E(f422(x6301),f422(x6302))
% 1.62/1.67 [631]~E(x6311,x6312)+E(f351(x6311,x6313),f351(x6312,x6313))
% 1.62/1.67 [632]~E(x6321,x6322)+E(f351(x6323,x6321),f351(x6323,x6322))
% 1.62/1.67 [633]~E(x6331,x6332)+E(f128(x6331,x6333,x6334),f128(x6332,x6333,x6334))
% 1.62/1.67 [634]~E(x6341,x6342)+E(f128(x6343,x6341,x6344),f128(x6343,x6342,x6344))
% 1.62/1.67 [635]~E(x6351,x6352)+E(f128(x6353,x6354,x6351),f128(x6353,x6354,x6352))
% 1.62/1.67 [636]~E(x6361,x6362)+E(f511(x6361,x6363),f511(x6362,x6363))
% 1.62/1.67 [637]~E(x6371,x6372)+E(f511(x6373,x6371),f511(x6373,x6372))
% 1.62/1.67 [638]~E(x6381,x6382)+E(f332(x6381,x6383),f332(x6382,x6383))
% 1.62/1.67 [639]~E(x6391,x6392)+E(f332(x6393,x6391),f332(x6393,x6392))
% 1.62/1.67 [640]~E(x6401,x6402)+E(f503(x6401,x6403),f503(x6402,x6403))
% 1.62/1.67 [641]~E(x6411,x6412)+E(f503(x6413,x6411),f503(x6413,x6412))
% 1.62/1.67 [642]~E(x6421,x6422)+E(f125(x6421,x6423,x6424),f125(x6422,x6423,x6424))
% 1.62/1.67 [643]~E(x6431,x6432)+E(f125(x6433,x6431,x6434),f125(x6433,x6432,x6434))
% 1.62/1.67 [644]~E(x6441,x6442)+E(f125(x6443,x6444,x6441),f125(x6443,x6444,x6442))
% 1.62/1.67 [645]~E(x6451,x6452)+E(f245(x6451,x6453),f245(x6452,x6453))
% 1.62/1.67 [646]~E(x6461,x6462)+E(f245(x6463,x6461),f245(x6463,x6462))
% 1.62/1.67 [647]~E(x6471,x6472)+E(f350(x6471,x6473),f350(x6472,x6473))
% 1.62/1.67 [648]~E(x6481,x6482)+E(f350(x6483,x6481),f350(x6483,x6482))
% 1.62/1.67 [649]~E(x6491,x6492)+E(f494(x6491,x6493),f494(x6492,x6493))
% 1.62/1.67 [650]~E(x6501,x6502)+E(f494(x6503,x6501),f494(x6503,x6502))
% 1.62/1.67 [651]~E(x6511,x6512)+E(f374(x6511,x6513),f374(x6512,x6513))
% 1.62/1.67 [652]~E(x6521,x6522)+E(f374(x6523,x6521),f374(x6523,x6522))
% 1.62/1.67 [653]~E(x6531,x6532)+E(f223(x6531,x6533),f223(x6532,x6533))
% 1.62/1.67 [654]~E(x6541,x6542)+E(f223(x6543,x6541),f223(x6543,x6542))
% 1.62/1.67 [655]~E(x6551,x6552)+E(f121(x6551,x6553),f121(x6552,x6553))
% 1.62/1.67 [656]~E(x6561,x6562)+E(f121(x6563,x6561),f121(x6563,x6562))
% 1.62/1.67 [657]~E(x6571,x6572)+E(f344(x6571,x6573),f344(x6572,x6573))
% 1.62/1.67 [658]~E(x6581,x6582)+E(f344(x6583,x6581),f344(x6583,x6582))
% 1.62/1.67 [659]~E(x6591,x6592)+E(f148(x6591,x6593),f148(x6592,x6593))
% 1.62/1.67 [660]~E(x6601,x6602)+E(f148(x6603,x6601),f148(x6603,x6602))
% 1.62/1.67 [661]~E(x6611,x6612)+E(f399(x6611,x6613),f399(x6612,x6613))
% 1.62/1.67 [662]~E(x6621,x6622)+E(f399(x6623,x6621),f399(x6623,x6622))
% 1.62/1.67 [663]~E(x6631,x6632)+E(f495(x6631,x6633),f495(x6632,x6633))
% 1.62/1.67 [664]~E(x6641,x6642)+E(f495(x6643,x6641),f495(x6643,x6642))
% 1.62/1.67 [665]~E(x6651,x6652)+E(f272(x6651,x6653),f272(x6652,x6653))
% 1.62/1.67 [666]~E(x6661,x6662)+E(f272(x6663,x6661),f272(x6663,x6662))
% 1.62/1.67 [667]~E(x6671,x6672)+E(f135(x6671),f135(x6672))
% 1.62/1.67 [668]~E(x6681,x6682)+E(f117(x6681,x6683),f117(x6682,x6683))
% 1.62/1.67 [669]~E(x6691,x6692)+E(f117(x6693,x6691),f117(x6693,x6692))
% 1.62/1.67 [670]~E(x6701,x6702)+E(f102(x6701,x6703,x6704),f102(x6702,x6703,x6704))
% 1.62/1.67 [671]~E(x6711,x6712)+E(f102(x6713,x6711,x6714),f102(x6713,x6712,x6714))
% 1.62/1.67 [672]~E(x6721,x6722)+E(f102(x6723,x6724,x6721),f102(x6723,x6724,x6722))
% 1.62/1.67 [673]~E(x6731,x6732)+E(f104(x6731,x6733),f104(x6732,x6733))
% 1.62/1.67 [674]~E(x6741,x6742)+E(f104(x6743,x6741),f104(x6743,x6742))
% 1.62/1.67 [675]~E(x6751,x6752)+E(f377(x6751,x6753),f377(x6752,x6753))
% 1.62/1.67 [676]~E(x6761,x6762)+E(f377(x6763,x6761),f377(x6763,x6762))
% 1.62/1.67 [677]~E(x6771,x6772)+E(f298(x6771,x6773),f298(x6772,x6773))
% 1.62/1.67 [678]~E(x6781,x6782)+E(f298(x6783,x6781),f298(x6783,x6782))
% 1.62/1.67 [679]~E(x6791,x6792)+E(f497(x6791,x6793),f497(x6792,x6793))
% 1.62/1.67 [680]~E(x6801,x6802)+E(f497(x6803,x6801),f497(x6803,x6802))
% 1.62/1.67 [681]~E(x6811,x6812)+E(f162(x6811,x6813),f162(x6812,x6813))
% 1.62/1.67 [682]~E(x6821,x6822)+E(f162(x6823,x6821),f162(x6823,x6822))
% 1.62/1.67 [683]~E(x6831,x6832)+E(f137(x6831,x6833),f137(x6832,x6833))
% 1.62/1.67 [684]~E(x6841,x6842)+E(f137(x6843,x6841),f137(x6843,x6842))
% 1.62/1.67 [685]~E(x6851,x6852)+E(f509(x6851,x6853),f509(x6852,x6853))
% 1.62/1.67 [686]~E(x6861,x6862)+E(f509(x6863,x6861),f509(x6863,x6862))
% 1.62/1.67 [687]~E(x6871,x6872)+E(f170(x6871),f170(x6872))
% 1.62/1.67 [688]~E(x6881,x6882)+E(f216(x6881,x6883),f216(x6882,x6883))
% 1.62/1.67 [689]~E(x6891,x6892)+E(f216(x6893,x6891),f216(x6893,x6892))
% 1.62/1.67 [690]~E(x6901,x6902)+E(f275(x6901,x6903),f275(x6902,x6903))
% 1.62/1.67 [691]~E(x6911,x6912)+E(f275(x6913,x6911),f275(x6913,x6912))
% 1.62/1.67 [692]~E(x6921,x6922)+E(f155(x6921),f155(x6922))
% 1.62/1.67 [693]~E(x6931,x6932)+E(f496(x6931,x6933),f496(x6932,x6933))
% 1.62/1.67 [694]~E(x6941,x6942)+E(f496(x6943,x6941),f496(x6943,x6942))
% 1.62/1.67 [695]~E(x6951,x6952)+E(f265(x6951,x6953),f265(x6952,x6953))
% 1.62/1.67 [696]~E(x6961,x6962)+E(f265(x6963,x6961),f265(x6963,x6962))
% 1.62/1.67 [697]~E(x6971,x6972)+E(f360(x6971,x6973),f360(x6972,x6973))
% 1.62/1.67 [698]~E(x6981,x6982)+E(f360(x6983,x6981),f360(x6983,x6982))
% 1.62/1.67 [699]~E(x6991,x6992)+E(f163(x6991,x6993),f163(x6992,x6993))
% 1.62/1.67 [700]~E(x7001,x7002)+E(f163(x7003,x7001),f163(x7003,x7002))
% 1.62/1.67 [701]~E(x7011,x7012)+E(f517(x7011,x7013),f517(x7012,x7013))
% 1.62/1.67 [702]~E(x7021,x7022)+E(f517(x7023,x7021),f517(x7023,x7022))
% 1.62/1.67 [703]~E(x7031,x7032)+E(f304(x7031,x7033),f304(x7032,x7033))
% 1.62/1.67 [704]~E(x7041,x7042)+E(f304(x7043,x7041),f304(x7043,x7042))
% 1.62/1.67 [705]~E(x7051,x7052)+E(f339(x7051,x7053),f339(x7052,x7053))
% 1.62/1.67 [706]~E(x7061,x7062)+E(f339(x7063,x7061),f339(x7063,x7062))
% 1.62/1.67 [707]~E(x7071,x7072)+E(f300(x7071,x7073),f300(x7072,x7073))
% 1.62/1.67 [708]~E(x7081,x7082)+E(f300(x7083,x7081),f300(x7083,x7082))
% 1.62/1.67 [709]~E(x7091,x7092)+E(f519(x7091,x7093),f519(x7092,x7093))
% 1.62/1.67 [710]~E(x7101,x7102)+E(f519(x7103,x7101),f519(x7103,x7102))
% 1.62/1.67 [711]~E(x7111,x7112)+E(f326(x7111,x7113),f326(x7112,x7113))
% 1.62/1.67 [712]~E(x7121,x7122)+E(f326(x7123,x7121),f326(x7123,x7122))
% 1.62/1.67 [713]~E(x7131,x7132)+E(f113(x7131,x7133,x7134),f113(x7132,x7133,x7134))
% 1.62/1.67 [714]~E(x7141,x7142)+E(f113(x7143,x7141,x7144),f113(x7143,x7142,x7144))
% 1.62/1.67 [715]~E(x7151,x7152)+E(f113(x7153,x7154,x7151),f113(x7153,x7154,x7152))
% 1.62/1.67 [716]~E(x7161,x7162)+E(f103(x7161,x7163,x7164),f103(x7162,x7163,x7164))
% 1.62/1.67 [717]~E(x7171,x7172)+E(f103(x7173,x7171,x7174),f103(x7173,x7172,x7174))
% 1.62/1.67 [718]~E(x7181,x7182)+E(f103(x7183,x7184,x7181),f103(x7183,x7184,x7182))
% 1.62/1.67 [719]~E(x7191,x7192)+E(f153(x7191),f153(x7192))
% 1.62/1.67 [720]~E(x7201,x7202)+E(f290(x7201,x7203),f290(x7202,x7203))
% 1.62/1.67 [721]~E(x7211,x7212)+E(f290(x7213,x7211),f290(x7213,x7212))
% 1.62/1.67 [722]~E(x7221,x7222)+E(f200(x7221,x7223),f200(x7222,x7223))
% 1.62/1.67 [723]~E(x7231,x7232)+E(f200(x7233,x7231),f200(x7233,x7232))
% 1.62/1.67 [724]~E(x7241,x7242)+E(f277(x7241,x7243),f277(x7242,x7243))
% 1.62/1.67 [725]~E(x7251,x7252)+E(f277(x7253,x7251),f277(x7253,x7252))
% 1.62/1.67 [726]~E(x7261,x7262)+E(f381(x7261,x7263),f381(x7262,x7263))
% 1.62/1.67 [727]~E(x7271,x7272)+E(f381(x7273,x7271),f381(x7273,x7272))
% 1.62/1.67 [728]~E(x7281,x7282)+E(f221(x7281,x7283),f221(x7282,x7283))
% 1.62/1.67 [729]~E(x7291,x7292)+E(f221(x7293,x7291),f221(x7293,x7292))
% 1.62/1.67 [730]~E(x7301,x7302)+E(f518(x7301,x7303),f518(x7302,x7303))
% 1.62/1.67 [731]~E(x7311,x7312)+E(f518(x7313,x7311),f518(x7313,x7312))
% 1.62/1.67 [732]~E(x7321,x7322)+E(f522(x7321,x7323),f522(x7322,x7323))
% 1.62/1.67 [733]~E(x7331,x7332)+E(f522(x7333,x7331),f522(x7333,x7332))
% 1.62/1.67 [734]~E(x7341,x7342)+E(f500(x7341,x7343),f500(x7342,x7343))
% 1.62/1.67 [735]~E(x7351,x7352)+E(f500(x7353,x7351),f500(x7353,x7352))
% 1.62/1.67 [736]~E(x7361,x7362)+E(f274(x7361,x7363),f274(x7362,x7363))
% 1.62/1.67 [737]~E(x7371,x7372)+E(f274(x7373,x7371),f274(x7373,x7372))
% 1.62/1.67 [738]~E(x7381,x7382)+E(f161(x7381,x7383),f161(x7382,x7383))
% 1.62/1.67 [739]~E(x7391,x7392)+E(f161(x7393,x7391),f161(x7393,x7392))
% 1.62/1.67 [740]~E(x7401,x7402)+E(f328(x7401,x7403),f328(x7402,x7403))
% 1.62/1.67 [741]~E(x7411,x7412)+E(f328(x7413,x7411),f328(x7413,x7412))
% 1.62/1.67 [742]~E(x7421,x7422)+E(f506(x7421,x7423),f506(x7422,x7423))
% 1.62/1.67 [743]~E(x7431,x7432)+E(f506(x7433,x7431),f506(x7433,x7432))
% 1.62/1.67 [744]~E(x7441,x7442)+E(f391(x7441,x7443),f391(x7442,x7443))
% 1.62/1.67 [745]~E(x7451,x7452)+E(f391(x7453,x7451),f391(x7453,x7452))
% 1.62/1.67 [746]~E(x7461,x7462)+E(f536(x7461),f536(x7462))
% 1.62/1.67 [747]~E(x7471,x7472)+E(f152(x7471,x7473),f152(x7472,x7473))
% 1.62/1.67 [748]~E(x7481,x7482)+E(f152(x7483,x7481),f152(x7483,x7482))
% 1.62/1.67 [749]~E(x7491,x7492)+E(f224(x7491,x7493),f224(x7492,x7493))
% 1.62/1.67 [750]~E(x7501,x7502)+E(f224(x7503,x7501),f224(x7503,x7502))
% 1.62/1.67 [751]~E(x7511,x7512)+E(f327(x7511,x7513),f327(x7512,x7513))
% 1.62/1.67 [752]~E(x7521,x7522)+E(f327(x7523,x7521),f327(x7523,x7522))
% 1.62/1.67 [753]~E(x7531,x7532)+E(f513(x7531,x7533),f513(x7532,x7533))
% 1.62/1.67 [754]~E(x7541,x7542)+E(f513(x7543,x7541),f513(x7543,x7542))
% 1.62/1.67 [755]~E(x7551,x7552)+E(f314(x7551,x7553),f314(x7552,x7553))
% 1.62/1.67 [756]~E(x7561,x7562)+E(f314(x7563,x7561),f314(x7563,x7562))
% 1.62/1.67 [757]~E(x7571,x7572)+E(f233(x7571,x7573),f233(x7572,x7573))
% 1.62/1.67 [758]~E(x7581,x7582)+E(f233(x7583,x7581),f233(x7583,x7582))
% 1.62/1.67 [759]~E(x7591,x7592)+E(f144(x7591),f144(x7592))
% 1.62/1.67 [760]~E(x7601,x7602)+E(f493(x7601,x7603),f493(x7602,x7603))
% 1.62/1.67 [761]~E(x7611,x7612)+E(f493(x7613,x7611),f493(x7613,x7612))
% 1.62/1.67 [762]~E(x7621,x7622)+E(f202(x7621,x7623),f202(x7622,x7623))
% 1.62/1.67 [763]~E(x7631,x7632)+E(f202(x7633,x7631),f202(x7633,x7632))
% 1.62/1.67 [764]~E(x7641,x7642)+E(f410(x7641,x7643),f410(x7642,x7643))
% 1.62/1.67 [765]~E(x7651,x7652)+E(f410(x7653,x7651),f410(x7653,x7652))
% 1.62/1.67 [766]~E(x7661,x7662)+E(f504(x7661,x7663),f504(x7662,x7663))
% 1.62/1.67 [767]~E(x7671,x7672)+E(f504(x7673,x7671),f504(x7673,x7672))
% 1.62/1.67 [768]~E(x7681,x7682)+E(f510(x7681,x7683),f510(x7682,x7683))
% 1.62/1.67 [769]~E(x7691,x7692)+E(f510(x7693,x7691),f510(x7693,x7692))
% 1.62/1.67 [770]~E(x7701,x7702)+E(f514(x7701,x7703),f514(x7702,x7703))
% 1.62/1.67 [771]~E(x7711,x7712)+E(f514(x7713,x7711),f514(x7713,x7712))
% 1.62/1.67 [772]~E(x7721,x7722)+E(f394(x7721,x7723),f394(x7722,x7723))
% 1.62/1.67 [773]~E(x7731,x7732)+E(f394(x7733,x7731),f394(x7733,x7732))
% 1.62/1.67 [774]~E(x7741,x7742)+E(f523(x7741,x7743),f523(x7742,x7743))
% 1.62/1.67 [775]~E(x7751,x7752)+E(f523(x7753,x7751),f523(x7753,x7752))
% 1.62/1.67 [776]~E(x7761,x7762)+E(f193(x7761,x7763),f193(x7762,x7763))
% 1.62/1.67 [777]~E(x7771,x7772)+E(f193(x7773,x7771),f193(x7773,x7772))
% 1.62/1.67 [778]~P1(x7781)+P1(x7782)+~E(x7781,x7782)
% 1.62/1.67 [779]~P4(x7791)+P4(x7792)+~E(x7791,x7792)
% 1.62/1.67 [780]~P3(x7801)+P3(x7802)+~E(x7801,x7802)
% 1.62/1.67 [781]~P2(x7811)+P2(x7812)+~E(x7811,x7812)
% 1.62/1.67 [782]~P5(x7821)+P5(x7822)+~E(x7821,x7822)
% 1.62/1.67 [783]~P11(x7831)+P11(x7832)+~E(x7831,x7832)
% 1.62/1.67 [784]~P6(x7841)+P6(x7842)+~E(x7841,x7842)
% 1.62/1.67 [785]~P8(x7851)+P8(x7852)+~E(x7851,x7852)
% 1.62/1.67 [786]~P10(x7861)+P10(x7862)+~E(x7861,x7862)
% 1.62/1.67 [787]~P9(x7871)+P9(x7872)+~E(x7871,x7872)
% 1.62/1.67 [788]~P7(x7881)+P7(x7882)+~E(x7881,x7882)
% 1.62/1.67
% 1.62/1.67 %-------------------------------------------
% 1.62/1.68 cnf(2076,plain,
% 1.62/1.68 ($false),
% 1.62/1.68 inference(scs_inference,[],[1053,1017,2061]),
% 1.62/1.68 ['proof']).
% 1.62/1.68 % SZS output end Proof
% 1.62/1.68 % Total time :0.230000s
%------------------------------------------------------------------------------