TSTP Solution File: SWW473+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW473+3 : 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 : n016.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 : Fri Sep 1 00:14:32 EDT 2023
% Result : Theorem 15.61s 15.72s
% Output : CNFRefutation 15.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW473+3 : 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
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 18:30:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.55 start to proof:theBenchmark
% 15.56/15.64 %-------------------------------------------
% 15.56/15.64 % File :CSE---1.6
% 15.56/15.64 % Problem :theBenchmark
% 15.56/15.64 % Transform :cnf
% 15.56/15.64 % Format :tptp:raw
% 15.56/15.64 % Command :java -jar mcs_scs.jar %d %s
% 15.56/15.64
% 15.56/15.64 % Result :Theorem 13.370000s
% 15.56/15.64 % Output :CNFRefutation 13.370000s
% 15.56/15.64 %-------------------------------------------
% 15.56/15.65 %------------------------------------------------------------------------------
% 15.56/15.65 % File : SWW473+3 : TPTP v8.1.2. Released v5.3.0.
% 15.56/15.65 % Domain : Software Verification
% 15.56/15.65 % Problem : Hoare's Logic with Procedures line 383, 1000 axioms selected
% 15.56/15.65 % Version : Especial.
% 15.56/15.65 % English :
% 15.56/15.65
% 15.56/15.65 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 15.56/15.65 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 15.56/15.65 % Source : [Bla11]
% 15.56/15.65 % Names : hoare_1000_fofmg_l383 [Bla11]
% 15.56/15.65
% 15.56/15.65 % Status : Theorem
% 15.56/15.65 % Rating : 0.44 v8.1.0, 0.42 v7.5.0, 0.44 v7.4.0, 0.37 v7.3.0, 0.38 v7.2.0, 0.34 v7.1.0, 0.43 v7.0.0, 0.47 v6.4.0, 0.50 v6.3.0, 0.33 v6.2.0, 0.40 v6.1.0, 0.63 v6.0.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.68 v5.3.0
% 15.56/15.65 % Syntax : Number of formulae : 1415 ( 383 unt; 0 def)
% 15.56/15.65 % Number of atoms : 3616 ( 905 equ)
% 15.56/15.65 % Maximal formula atoms : 13 ( 2 avg)
% 15.56/15.65 % Number of connectives : 2518 ( 317 ~; 77 |; 306 &)
% 15.56/15.65 % ( 253 <=>;1565 =>; 0 <=; 0 <~>)
% 15.56/15.65 % Maximal formula depth : 15 ( 5 avg)
% 15.56/15.65 % Maximal term depth : 11 ( 2 avg)
% 15.56/15.65 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty)
% 15.56/15.65 % Number of functors : 372 ( 372 usr; 105 con; 0-2 aty)
% 15.56/15.65 % Number of variables : 3314 (3205 !; 109 ?)
% 15.56/15.65 % SPC : FOF_THM_RFO_SEQ
% 15.56/15.65
% 15.56/15.65 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 15.56/15.65 % 2011-08-09 17:58:47
% 15.56/15.65 % : Encoded with monomorphized guards.
% 15.56/15.65 %------------------------------------------------------------------------------
% 15.56/15.65 %----Explicit typings (106)
% 15.56/15.65 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_a_bool(B_2_1)
% 15.56/15.65 => is_fun_a_bool(cOMBB_bool_bool_a(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_pname_bool(B_2_1)
% 15.56/15.65 => is_fun_pname_bool(cOMBB_647938656_pname(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun949378684l_bool(B_1_1)
% 15.56/15.65 => is_fun_a_bool(cOMBB_1273333599bool_a(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_COMBK_000tc__HOL__Obool_000t__a,axiom,
% 15.56/15.65 ! [B_1_1] :
% 15.56/15.65 ( is_bool(B_1_1)
% 15.56/15.65 => is_fun_a_bool(cOMBK_bool_a(B_1_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_a_bool(B_2_1)
% 15.56/15.65 => is_fun_a_bool(cOMBS_a_bool_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_pname_bool(B_2_1)
% 15.56/15.65 => is_fun_pname_bool(cOMBS_568398431l_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun949378684l_bool(B_2_1)
% 15.56/15.65 => is_fun949378684l_bool(cOMBS_1035972772l_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun1661590463l_bool(B_2_1)
% 15.56/15.65 => is_fun1661590463l_bool(cOMBS_350070575l_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofinite_000t__a,axiom,
% 15.56/15.65 is_fun949378684l_bool(finite_finite_a) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname,hypothesis,
% 15.56/15.65 is_fun1661590463l_bool(finite_finite_pname) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofolding__one_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_bool(finite_folding_one_a(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofolding__one_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_bool(finite1282449217_pname(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofolding__one_000tc__Int__Oint,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_bool(finite1626084323ne_int(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofolding__one_000tc__Nat__Onat,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_bool(finite988810631ne_nat(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofolding__one__idem_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_bool(finite1819937229idem_a(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_bool(finite89670078_pname(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Int__Oint,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_bool(finite1432773856em_int(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Nat__Onat,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_bool(finite795500164em_nat(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_HOL_Oundefined_000t__a,axiom,
% 15.56/15.65 is_a(undefined_a(x_a)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_HOL_Oundefined_000tc__Com__Opname,axiom,
% 15.56/15.65 is_pname(undefined_pname(pname)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool,axiom,
% 15.56/15.65 is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 15.56/15.65 is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom,
% 15.56/15.65 is_bool(bot_bot_bool) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 is_fun_a_bool(bot_bot_fun_a_bool) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 is_fun_pname_bool(bot_bo844097828e_bool) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_OCollect_000t__a,axiom,
% 15.56/15.65 ! [B_1_1] :
% 15.56/15.65 ( is_fun_a_bool(B_1_1)
% 15.56/15.65 => is_fun_a_bool(collect_a(B_1_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_OCollect_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1] :
% 15.56/15.65 ( is_fun_pname_bool(B_1_1)
% 15.56/15.65 => is_fun_pname_bool(collect_pname(B_1_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1] :
% 15.56/15.65 ( is_fun949378684l_bool(B_1_1)
% 15.56/15.65 => is_fun949378684l_bool(collect_fun_a_bool(B_1_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1] :
% 15.56/15.65 ( is_fun1661590463l_bool(B_1_1)
% 15.56/15.65 => is_fun1661590463l_bool(collec1974731493e_bool(B_1_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000t__a_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_a_bool(B_2_1)
% 15.56/15.65 => is_fun_a_bool(image_a_a(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000t__a_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_a_bool(B_2_1)
% 15.56/15.65 => is_fun_pname_bool(image_a_pname(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_a_bool(B_2_1)
% 15.56/15.65 => is_fun949378684l_bool(image_a_fun_a_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_a_bool(B_2_1)
% 15.56/15.65 => is_fun1661590463l_bool(image_819518260e_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000t__a,hypothesis,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_pname_bool(B_2_1)
% 15.56/15.65 => is_fun_a_bool(image_pname_a(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_pname_bool(B_2_1)
% 15.56/15.65 => is_fun_pname_bool(image_pname_pname(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_pname_bool(B_2_1)
% 15.56/15.65 => is_fun949378684l_bool(image_112932426a_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun_pname_bool(B_2_1)
% 15.56/15.65 => is_fun1661590463l_bool(image_47868345e_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Int__Oint_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun_a_bool(image_int_a(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Int__Oint_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_int_pname(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Int__Oint_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun949378684l_bool(image_int_fun_a_bool(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Int__Oint_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(image_637364955e_bool(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun_a_bool(image_nat_a(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_nat_pname(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun949378684l_bool(image_nat_fun_a_bool(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(image_1655916159e_bool(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun949378684l_bool(B_2_1)
% 15.56/15.65 => is_fun_a_bool(image_fun_a_bool_a(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun949378684l_bool(B_2_1)
% 15.56/15.65 => is_fun_pname_bool(image_1854862208_pname(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun1661590463l_bool(B_2_1)
% 15.56/15.65 => is_fun_a_bool(image_876012084bool_a(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] :
% 15.56/15.65 ( is_fun1661590463l_bool(B_2_1)
% 15.56/15.65 => is_fun_pname_bool(image_1283814551_pname(B_1_1,B_2_1)) ) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun_a_bool(image_fun_int_bool_a(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_62782965_pname(B_1_1,B_2_1)) ).
% 15.56/15.65
% 15.56/15.65 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a,axiom,
% 15.56/15.65 ! [B_1_1,B_2_1] : is_fun_a_bool(image_fun_nat_bool_a(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_1921560913_pname(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_fFalse,axiom,
% 15.56/15.66 is_bool(fFalse) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_fTrue,axiom,
% 15.56/15.66 is_bool(fTrue) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000t__a_000t__a,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_a(B_2_1)
% 15.56/15.66 => is_a(hAPP_a_a(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000t__a_000tc__HOL__Obool,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( ( is_fun_a_bool(B_1_1)
% 15.56/15.66 & is_a(B_2_1) )
% 15.56/15.66 => is_bool(hAPP_a_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_a(B_2_1)
% 15.56/15.66 => is_fun_a_bool(hAPP_a_fun_a_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_a(B_2_1)
% 15.56/15.66 => is_fun_pname_bool(hAPP_a93125764e_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J,hypothesis,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_a(B_2_1)
% 15.56/15.66 => is_fun949378684l_bool(hAPP_a85458249l_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Com__Opname_000t__a,hypothesis,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_pname(B_2_1)
% 15.56/15.66 => is_a(hAPP_pname_a(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_pname(B_2_1)
% 15.56/15.66 => is_pname(hAPP_pname_pname(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( ( is_fun_pname_bool(B_1_1)
% 15.56/15.66 & is_pname(B_2_1) )
% 15.56/15.66 => is_bool(hAPP_pname_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_pname(B_2_1)
% 15.56/15.66 => is_fun_a_bool(hAPP_p1534023578a_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_pname(B_2_1)
% 15.56/15.66 => is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,hypothesis,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_pname(B_2_1)
% 15.56/15.66 => is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_bool(B_2_1)
% 15.56/15.66 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Int__Oint_000t__a,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_a(hAPP_int_a(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__HOL__Obool,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_int_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun_a_bool(hAPP_int_fun_a_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_i7355787e_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun949378684l_bool(hAPP_i888906320l_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(hAPP_i1587699435l_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,hypothesis,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun_a_bool(hAPP_nat_fun_a_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_n1025906991e_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun949378684l_bool(hAPP_n1414589940l_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(hAPP_n850744903l_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_fun_a_bool(B_2_1)
% 15.56/15.66 => is_a(hAPP_fun_a_bool_a(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool,hypothesis,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( ( is_fun949378684l_bool(B_1_1)
% 15.56/15.66 & is_fun_a_bool(B_2_1) )
% 15.56/15.66 => is_bool(hAPP_fun_a_bool_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J,hypothesis,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_fun_a_bool(B_2_1)
% 15.56/15.66 => is_fun_a_bool(hAPP_f2050579477a_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL,hypothesis,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_fun_a_bool(B_2_1)
% 15.56/15.66 => is_fun949378684l_bool(hAPP_f1631501043l_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_fun_pname_bool(B_2_1)
% 15.56/15.66 => is_pname(hAPP_f1297739591_pname(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool,hypothesis,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( ( is_fun1661590463l_bool(B_1_1)
% 15.56/15.66 & is_fun_pname_bool(B_2_1) )
% 15.56/15.66 => is_bool(hAPP_f1664156314l_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_fun_pname_bool(B_2_1)
% 15.56/15.66 => is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] :
% 15.56/15.66 ( is_fun_pname_bool(B_2_1)
% 15.56/15.66 => is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2_1)) ) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_f448129468l_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.56/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 15.56/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)) ).
% 15.56/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] :
% 15.61/15.66 ( is_fun949378684l_bool(B_2_1)
% 15.61/15.66 => is_bool(hAPP_f621171935l_bool(B_1_1,B_2_1)) ) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___001,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] :
% 15.61/15.66 ( is_fun949378684l_bool(B_2_1)
% 15.61/15.66 => is_fun949378684l_bool(hAPP_f2117159681l_bool(B_1_1,B_2_1)) ) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] :
% 15.61/15.66 ( is_fun1661590463l_bool(B_2_1)
% 15.61/15.66 => is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1)) ) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_002,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] :
% 15.61/15.66 ( is_fun1661590463l_bool(B_2_1)
% 15.61/15.66 => is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2_1)) ) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_f215623910l_bool(B_1_1,B_2_1)) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_f1637334154l_bool(B_1_1,B_2_1)) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_f292226953l_bool(B_1_1,B_2_1)) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_Mtc__HO,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_f1593524852l_bool(B_1_1,B_2_1)) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO,axiom,
% 15.61/15.66 ! [B_1_1,B_2_1] : is_bool(hAPP_f937997336l_bool(B_1_1,B_2_1)) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_v_G,hypothesis,
% 15.61/15.66 is_fun_a_bool(g) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_v_P,axiom,
% 15.61/15.66 ! [B_1_1] :
% 15.61/15.66 ( is_fun_a_bool(B_1_1)
% 15.61/15.66 => is_fun949378684l_bool(p(B_1_1)) ) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_v_U,hypothesis,
% 15.61/15.66 is_fun_pname_bool(u) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_v_mgt,axiom,
% 15.61/15.66 ! [B_1_1] : is_a(mgt(B_1_1)) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_v_pn,hypothesis,
% 15.61/15.66 is_pname(pn) ).
% 15.61/15.66
% 15.61/15.66 fof(gsy_v_wt,axiom,
% 15.61/15.66 ! [B_1_1] : is_bool(wt(B_1_1)) ).
% 15.61/15.66
% 15.61/15.66 %----Relevant facts (1199)
% 15.61/15.66 fof(fact_0_assms_I1_J,axiom,
% 15.61/15.66 ! [Ts,G] :
% 15.61/15.66 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Ts),G))
% 15.61/15.66 => hBOOL(hAPP_fun_a_bool_bool(p(G),Ts)) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_1_finite__Collect__subsets,axiom,
% 15.61/15.66 ! [A] :
% 15.61/15.66 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.66 => hBOOL(hAPP_f1593524852l_bool(finite2095298929l_bool,collec1409689523l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(ord_le1848167016l_bool),A)))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_2_finite__Collect__subsets,axiom,
% 15.61/15.66 ! [A] :
% 15.61/15.66 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.66 => hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A)))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_3_finite__Collect__subsets,axiom,
% 15.61/15.66 ! [A] :
% 15.61/15.66 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.66 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A)))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_4_finite__Collect__subsets,axiom,
% 15.61/15.66 ! [A] :
% 15.61/15.66 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.66 => hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A)))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_5_finite__Collect__subsets,axiom,
% 15.61/15.66 ! [A] :
% 15.61/15.66 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.66 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A)))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_6_finite__Collect__subsets,axiom,
% 15.61/15.66 ! [A] :
% 15.61/15.66 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.66 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A)))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_7_finite__Collect__subsets,axiom,
% 15.61/15.66 ! [A] :
% 15.61/15.66 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.66 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A)))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_8_finite__Collect__subsets,axiom,
% 15.61/15.66 ! [A] :
% 15.61/15.66 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.66 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(ord_le951220754t_bool),A)))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_9_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 15.61/15.66 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1512837979t_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_10_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 15.61/15.66 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_11_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 15.61/15.66 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_12_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 15.61/15.66 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_13_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.66 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_14_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.66 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_15_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.66 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_16_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.66 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_17_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.66 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_18_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))
% 15.61/15.66 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_19_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))
% 15.61/15.66 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_20_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))
% 15.61/15.66 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(H,F_1))) ) ).
% 15.61/15.66
% 15.61/15.66 fof(fact_21_finite__imageI,axiom,
% 15.61/15.66 ! [H,F_1] :
% 15.61/15.66 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))
% 15.61/15.66 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_22_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))
% 15.61/15.67 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_23_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 15.61/15.67 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_24_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_62782965_pname(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_25_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_26_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_27_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_28_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 15.61/15.67 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_29_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1431733819ol_nat(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_30_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_31_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_32_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_33_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 15.61/15.67 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_a_int(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_34_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_2069007511ol_int(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_35_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_1133522419ol_int(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_36_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_41399353ol_int(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_37_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))
% 15.61/15.67 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_fun_a_bool_int(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_38_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 15.61/15.67 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_39_finite__imageI,axiom,
% 15.61/15.67 ! [H,F_1] :
% 15.61/15.67 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.67 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(H,F_1))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_40_finite_OinsertI,axiom,
% 15.61/15.67 ! [A_2,A] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_41_finite_OinsertI,axiom,
% 15.61/15.67 ! [A_2,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_42_finite_OinsertI,axiom,
% 15.61/15.67 ! [A_2,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.67 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_43_finite_OinsertI,axiom,
% 15.61/15.67 ! [A_2,A] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.67 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_44_finite_OinsertI,axiom,
% 15.61/15.67 ! [A_2,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.67 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_45_finite_OinsertI,axiom,
% 15.61/15.67 ! [A_2,A] :
% 15.61/15.67 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.67 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_46_finite_OinsertI,axiom,
% 15.61/15.67 ! [A_2,A] :
% 15.61/15.67 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.67 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_47_finite_OinsertI,axiom,
% 15.61/15.67 ! [A_2,A] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.67 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_48_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_49_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_50_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_int_bool_a(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_51_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_52_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_53_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_54_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_55_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_56_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1431733819ol_nat(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_57_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_58_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_59_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_60_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_pname_int(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_61_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_a_int(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_62_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_2069007511ol_int(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_63_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_1133522419ol_int(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_64_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_41399353ol_int(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_65_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_fun_a_bool_int(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_66_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_67_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_68_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_int_pname(F,A))),hAPP_f957591787ol_nat(finite_card_int,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_69_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_70_card__image__le,axiom,
% 15.61/15.67 ! [F,A] :
% 15.61/15.67 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_nat_int(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_71_card__mono,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))
% 15.61/15.67 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,B))) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_72_card__mono,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))
% 15.61/15.67 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,B))) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_73_card__mono,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 15.61/15.67 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,B))) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_74_card__mono,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))
% 15.61/15.67 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,B))) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_75_card__mono,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.67 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_76_card__mono,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.67 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_77_card__mono,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.67 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_78_card__mono,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.67 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B))) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_79_card__seteq,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))
% 15.61/15.67 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))
% 15.61/15.67 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,B)),hAPP_f521865025ol_nat(finite1876863882t_bool,A)))
% 15.61/15.67 => A = B ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_80_card__seteq,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))
% 15.61/15.67 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))
% 15.61/15.67 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B)),hAPP_f696928925ol_nat(finite346522414t_bool,A)))
% 15.61/15.67 => A = B ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_81_card__seteq,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( ( is_fun1661590463l_bool(A)
% 15.61/15.67 & is_fun1661590463l_bool(B) )
% 15.61/15.67 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 15.61/15.67 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))
% 15.61/15.67 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B)),hAPP_f55526627ol_nat(finite1340463720e_bool,A)))
% 15.61/15.67 => A = B ) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_82_card__seteq,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( ( is_fun949378684l_bool(A)
% 15.61/15.67 & is_fun949378684l_bool(B) )
% 15.61/15.67 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))
% 15.61/15.67 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))
% 15.61/15.67 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))
% 15.61/15.67 => A = B ) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_83_card__seteq,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( ( is_fun_pname_bool(A)
% 15.61/15.67 & is_fun_pname_bool(B) )
% 15.61/15.67 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.67 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.67 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,B)),hAPP_f921600141ol_nat(finite_card_pname,A)))
% 15.61/15.67 => A = B ) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_84_card__seteq,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( ( is_fun_a_bool(A)
% 15.61/15.67 & is_fun_a_bool(B) )
% 15.61/15.67 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.67 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.67 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,B)),hAPP_fun_a_bool_nat(finite_card_a,A)))
% 15.61/15.67 => A = B ) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_85_card__seteq,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.67 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.67 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,B)),hAPP_f22106695ol_nat(finite_card_nat,A)))
% 15.61/15.67 => A = B ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_86_card__seteq,axiom,
% 15.61/15.67 ! [A,B] :
% 15.61/15.67 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.67 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.67 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,B)),hAPP_f957591787ol_nat(finite_card_int,A)))
% 15.61/15.67 => A = B ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_87_card__insert__le,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_88_card__insert__le,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_89_card__insert__le,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_90_card__insert__le,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_91_card__insert__le,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_92_card__insert__le,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_93_card__insert__le,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_94_card__insert__le,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.67 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)))) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_95_card__insert__if,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.67 => ( ( hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))
% 15.61/15.67 => hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)) = hAPP_f521865025ol_nat(finite1876863882t_bool,A) )
% 15.61/15.67 & ( ~ hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))
% 15.61/15.67 => hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_96_card__insert__if,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.67 => ( ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))
% 15.61/15.67 => hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)) = hAPP_f696928925ol_nat(finite346522414t_bool,A) )
% 15.61/15.67 & ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))
% 15.61/15.67 => hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_97_card__insert__if,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.67 => ( ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))
% 15.61/15.67 => hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)) = hAPP_f55526627ol_nat(finite1340463720e_bool,A) )
% 15.61/15.67 & ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))
% 15.61/15.67 => hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_98_card__insert__if,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.67 => ( ( hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))
% 15.61/15.67 => hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)) = hAPP_f2009550088ol_nat(finite1306199131a_bool,A) )
% 15.61/15.67 & ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))
% 15.61/15.67 => hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_99_card__insert__if,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.67 => ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.67 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_f921600141ol_nat(finite_card_pname,A) )
% 15.61/15.67 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.67 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)) ) ) ) ).
% 15.61/15.67
% 15.61/15.67 fof(fact_100_card__insert__if,axiom,
% 15.61/15.67 ! [X_1,A] :
% 15.61/15.67 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.67 => ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.67 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_f22106695ol_nat(finite_card_nat,A) )
% 15.61/15.67 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.67 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)) ) ) ) ).
% 15.61/15.67
% 15.61/15.68 fof(fact_101_card__insert__if,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.68 => ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.68 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_f957591787ol_nat(finite_card_int,A) )
% 15.61/15.68 & ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.68 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_102_card__insert__if,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.68 => ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.68 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_fun_a_bool_nat(finite_card_a,A) )
% 15.61/15.68 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.68 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_103_card__insert__disjoint,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.68 => ( ~ hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))
% 15.61/15.68 => hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_104_card__insert__disjoint,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.68 => ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))
% 15.61/15.68 => hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_105_card__insert__disjoint,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.68 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))
% 15.61/15.68 => hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_106_card__insert__disjoint,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.68 => ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))
% 15.61/15.68 => hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_107_card__insert__disjoint,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.68 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.68 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_108_card__insert__disjoint,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.68 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.68 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_109_card__insert__disjoint,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.68 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.68 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_110_card__insert__disjoint,axiom,
% 15.61/15.68 ! [X_1,A] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.68 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.68 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_111_finite__Collect__conjI,axiom,
% 15.61/15.68 ! [Q_3,Pa] :
% 15.61/15.68 ( ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))
% 15.61/15.68 | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3))) )
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_3)))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_112_finite__Collect__conjI,axiom,
% 15.61/15.68 ! [Q_3,Pa] :
% 15.61/15.68 ( ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa)))
% 15.61/15.68 | hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3))) )
% 15.61/15.68 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fconj,Pa),Q_3)))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_113_finite__Collect__conjI,axiom,
% 15.61/15.68 ! [Q_3,Pa] :
% 15.61/15.68 ( ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))
% 15.61/15.68 | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3))) )
% 15.61/15.68 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_3)))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_114_finite__Collect__conjI,axiom,
% 15.61/15.68 ! [Q_3,Pa] :
% 15.61/15.68 ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))
% 15.61/15.68 | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3))) )
% 15.61/15.68 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_3)))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_115_finite__Collect__conjI,axiom,
% 15.61/15.68 ! [Q_3,Pa] :
% 15.61/15.68 ( ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))
% 15.61/15.68 | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3))) )
% 15.61/15.68 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_3)))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_116_finite__Collect__conjI,axiom,
% 15.61/15.68 ! [Q_3,Pa] :
% 15.61/15.68 ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))
% 15.61/15.68 | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3))) )
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_3)))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_117_finite__Collect__conjI,axiom,
% 15.61/15.68 ! [Q_3,Pa] :
% 15.61/15.68 ( ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))
% 15.61/15.68 | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3))) )
% 15.61/15.68 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_3)))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_118_finite__Collect__conjI,axiom,
% 15.61/15.68 ! [Q_3,Pa] :
% 15.61/15.68 ( ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa)))
% 15.61/15.68 | hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3))) )
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,Pa),Q_3)))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_119_Suc__diff__le,axiom,
% 15.61/15.68 ! [N,M_1] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1))
% 15.61/15.68 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_120_finite__Collect__le__nat,axiom,
% 15.61/15.68 ! [K] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),K)))) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_121_card__Collect__le__nat,axiom,
% 15.61/15.68 ! [Na] : hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),Na))) = hAPP_nat_nat(suc,Na) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_122_Suc__inject,axiom,
% 15.61/15.68 ! [X,Y] :
% 15.61/15.68 ( hAPP_nat_nat(suc,X) = hAPP_nat_nat(suc,Y)
% 15.61/15.68 => X = Y ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_123_nat_Oinject,axiom,
% 15.61/15.68 ! [Nat_3,Nat_4] :
% 15.61/15.68 ( hAPP_nat_nat(suc,Nat_3) = hAPP_nat_nat(suc,Nat_4)
% 15.61/15.68 <=> Nat_3 = Nat_4 ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_124_Suc__n__not__n,axiom,
% 15.61/15.68 ! [N] : hAPP_nat_nat(suc,N) != N ).
% 15.61/15.68
% 15.61/15.68 fof(fact_125_n__not__Suc__n,axiom,
% 15.61/15.68 ! [N] : N != hAPP_nat_nat(suc,N) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_126_le__antisym,axiom,
% 15.61/15.68 ! [M_1,N] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.68 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1))
% 15.61/15.68 => M_1 = N ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_127_le__trans,axiom,
% 15.61/15.68 ! [K_1,I_1,J] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.68 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),K_1))
% 15.61/15.68 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),K_1)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_128_eq__imp__le,axiom,
% 15.61/15.68 ! [M_1,N] :
% 15.61/15.68 ( M_1 = N
% 15.61/15.68 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_129_nat__le__linear,axiom,
% 15.61/15.68 ! [M_1,N] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.68 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_130_le__refl,axiom,
% 15.61/15.68 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),N)) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_131_diff__commute,axiom,
% 15.61/15.68 ! [I_1,J,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),K_1)),J) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_132_finite__Collect__disjI,axiom,
% 15.61/15.68 ! [Pa,Q_3] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_3))))
% 15.61/15.68 <=> ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3))) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_133_finite__Collect__disjI,axiom,
% 15.61/15.68 ! [Pa,Q_3] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,Pa),Q_3))))
% 15.61/15.68 <=> ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa)))
% 15.61/15.68 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3))) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_134_finite__Collect__disjI,axiom,
% 15.61/15.68 ! [Pa,Q_3] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_3))))
% 15.61/15.68 <=> ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))
% 15.61/15.68 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3))) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_135_finite__Collect__disjI,axiom,
% 15.61/15.68 ! [Pa,Q_3] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_3))))
% 15.61/15.68 <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3))) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_136_finite__Collect__disjI,axiom,
% 15.61/15.68 ! [Pa,Q_3] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_3))))
% 15.61/15.68 <=> ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3))) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_137_finite__Collect__disjI,axiom,
% 15.61/15.68 ! [Pa,Q_3] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_3))))
% 15.61/15.68 <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3))) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_138_finite__Collect__disjI,axiom,
% 15.61/15.68 ! [Pa,Q_3] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_3))))
% 15.61/15.68 <=> ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))
% 15.61/15.68 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3))) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_139_finite__Collect__disjI,axiom,
% 15.61/15.68 ! [Pa,Q_3] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,Pa),Q_3))))
% 15.61/15.68 <=> ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa)))
% 15.61/15.68 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3))) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_140_finite__insert,axiom,
% 15.61/15.68 ! [A_2,A] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A)))
% 15.61/15.68 <=> hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_141_finite__insert,axiom,
% 15.61/15.68 ! [A_2,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A)))
% 15.61/15.68 <=> hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_142_finite__insert,axiom,
% 15.61/15.68 ! [A_2,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A)))
% 15.61/15.68 <=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_143_finite__insert,axiom,
% 15.61/15.68 ! [A_2,A] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A)))
% 15.61/15.68 <=> hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_144_finite__insert,axiom,
% 15.61/15.68 ! [A_2,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A)))
% 15.61/15.68 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_145_finite__insert,axiom,
% 15.61/15.68 ! [A_2,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)))
% 15.61/15.68 <=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_146_finite__insert,axiom,
% 15.61/15.68 ! [A_2,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)))
% 15.61/15.68 <=> hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_147_finite__insert,axiom,
% 15.61/15.68 ! [A_2,A] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)))
% 15.61/15.68 <=> hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_148_finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))
% 15.61/15.68 => ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))
% 15.61/15.68 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_149_finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))
% 15.61/15.68 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))
% 15.61/15.68 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_150_finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 15.61/15.68 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_151_finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))
% 15.61/15.68 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_152_finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_153_finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_154_finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.68 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_155_finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_156_rev__finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))
% 15.61/15.68 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_157_rev__finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))
% 15.61/15.68 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_158_rev__finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))
% 15.61/15.68 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_159_rev__finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))
% 15.61/15.68 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_160_rev__finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_161_rev__finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_162_rev__finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.68 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_163_rev__finite__subset,axiom,
% 15.61/15.68 ! [A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_164_Suc__leD,axiom,
% 15.61/15.68 ! [M_1,N] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_1)),N))
% 15.61/15.68 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_165_le__SucE,axiom,
% 15.61/15.68 ! [M_1,N] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(suc,N)))
% 15.61/15.68 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.68 => M_1 = hAPP_nat_nat(suc,N) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_166_le__SucI,axiom,
% 15.61/15.68 ! [M_1,N] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.68 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(suc,N))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_167_Suc__le__mono,axiom,
% 15.61/15.68 ! [Na,M] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M)))
% 15.61/15.68 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),M)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_168_le__Suc__eq,axiom,
% 15.61/15.68 ! [M,Na] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(suc,Na)))
% 15.61/15.68 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na))
% 15.61/15.68 | M = hAPP_nat_nat(suc,Na) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_169_not__less__eq__eq,axiom,
% 15.61/15.68 ! [M,Na] :
% 15.61/15.68 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na))
% 15.61/15.68 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M)) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_170_Suc__n__not__le__n,axiom,
% 15.61/15.68 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N)),N)) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_171_Suc__diff__diff,axiom,
% 15.61/15.68 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N)),hAPP_nat_nat(suc,K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),K_1) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_172_diff__Suc__Suc,axiom,
% 15.61/15.68 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_173_le__diff__iff,axiom,
% 15.61/15.68 ! [Na,K,M] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M))
% 15.61/15.68 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na))
% 15.61/15.68 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))
% 15.61/15.68 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_174_Nat_Odiff__diff__eq,axiom,
% 15.61/15.68 ! [N,K_1,M_1] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),M_1))
% 15.61/15.68 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N))
% 15.61/15.68 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_175_eq__diff__iff,axiom,
% 15.61/15.68 ! [Na,K,M] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M))
% 15.61/15.68 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na))
% 15.61/15.68 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)
% 15.61/15.68 <=> M = Na ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_176_diff__diff__cancel,axiom,
% 15.61/15.68 ! [I_1,N] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),N))
% 15.61/15.68 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),I_1)) = I_1 ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_177_diff__le__mono,axiom,
% 15.61/15.68 ! [L_1,M_1,N] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.68 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),L_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),L_1))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_178_diff__le__mono2,axiom,
% 15.61/15.68 ! [L_1,M_1,N] :
% 15.61/15.68 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.68 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),M_1))) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_179_diff__le__self,axiom,
% 15.61/15.68 ! [M_1,N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),M_1)) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_180_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_181_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A)))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_182_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A)))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_183_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_184_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_185_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.68 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_186_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_187_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_188_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_189_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_190_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A)))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_191_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.68 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_192_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_193_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_194_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_195_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_196_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A)))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_197_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.68 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_198_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_199_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_200_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_201_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_202_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_203_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_204_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_205_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_206_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_207_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_208_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_209_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_210_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_211_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_212_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_213_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_214_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_215_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_216_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_217_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))
% 15.61/15.68 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_218_finite__surj,axiom,
% 15.61/15.68 ! [B,F,A] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))
% 15.61/15.68 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_219_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_a_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16))
% 15.61/15.68 & B = image_fun_int_bool_a(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_220_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_a_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16))
% 15.61/15.68 & B = image_fun_nat_bool_a(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_221_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_a_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun1661590463l_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16))
% 15.61/15.68 & B = image_876012084bool_a(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_222_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_a_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun949378684l_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16))
% 15.61/15.68 & B = image_fun_a_bool_a(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_223_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_a_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_a_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))
% 15.61/15.68 & B = image_a_a(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_224_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_a_fun_int_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_a_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))
% 15.61/15.68 & B = image_a_fun_int_bool(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_225_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_a_fun_nat_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_a_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))
% 15.61/15.68 & B = image_a_fun_nat_bool(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_226_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun1661590463l_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_819518260e_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_a_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))
% 15.61/15.68 & B = image_819518260e_bool(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_227_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun949378684l_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_a_fun_a_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_a_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))
% 15.61/15.68 & B = image_a_fun_a_bool(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_228_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_pname_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_a_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))
% 15.61/15.68 & B = image_a_pname(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_229_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_pname_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16))
% 15.61/15.68 & B = image_62782965_pname(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_230_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_pname_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16))
% 15.61/15.68 & B = image_1921560913_pname(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_231_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_pname_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun1661590463l_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16))
% 15.61/15.68 & B = image_1283814551_pname(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_232_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_pname_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun949378684l_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16))
% 15.61/15.68 & B = image_1854862208_pname(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_233_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_a_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))
% 15.61/15.68 & B = image_a_nat(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_234_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16))
% 15.61/15.68 & B = image_1431733819ol_nat(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_235_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16))
% 15.61/15.68 & B = image_496248727ol_nat(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_236_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun1661590463l_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16))
% 15.61/15.68 & B = image_1551609309ol_nat(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_237_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun949378684l_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16))
% 15.61/15.68 & B = image_fun_a_bool_nat(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_238_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.68 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_pname_nat(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_pname_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))
% 15.61/15.68 & B = image_pname_nat(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_239_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_a_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))
% 15.61/15.68 & B = image_a_int(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_240_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16))
% 15.61/15.68 & B = image_2069007511ol_int(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_241_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16))
% 15.61/15.68 & B = image_1133522419ol_int(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_242_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun1661590463l_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16))
% 15.61/15.68 & B = image_41399353ol_int(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_243_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun949378684l_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16))
% 15.61/15.68 & B = image_fun_a_bool_int(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_244_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.68 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_pname_int(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_pname_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))
% 15.61/15.68 & B = image_pname_int(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_245_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_pname_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))
% 15.61/15.68 & B = image_1512837979t_bool(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_246_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_pname_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))
% 15.61/15.68 & B = image_2129980159t_bool(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_247_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun1661590463l_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_pname_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))
% 15.61/15.68 & B = image_47868345e_bool(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_248_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun949378684l_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_pname_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))
% 15.61/15.68 & B = image_112932426a_bool(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_249_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_pname_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( is_fun_pname_bool(C_16)
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))
% 15.61/15.68 & B = image_pname_pname(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_250_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_a_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.68 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))
% 15.61/15.68 & B = image_nat_a(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_251_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))
% 15.61/15.68 & B = image_1556378401t_bool(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_252_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))
% 15.61/15.68 & B = image_26036933t_bool(F,C_16) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_253_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun1661590463l_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))
% 15.61/15.68 & B = image_1655916159e_bool(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_254_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun949378684l_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))
% 15.61/15.68 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.68 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))
% 15.61/15.68 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))
% 15.61/15.68 & B = image_nat_fun_a_bool(F,C_16) ) ) ) ) ).
% 15.61/15.68
% 15.61/15.68 fof(fact_255_finite__subset__image,axiom,
% 15.61/15.68 ! [F,A,B] :
% 15.61/15.68 ( is_fun_pname_bool(B)
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.68 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A)))
% 15.61/15.68 => ? [C_16] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))
% 15.61/15.69 & B = image_nat_pname(F,C_16) ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_256_finite__subset__image,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( is_fun_a_bool(B)
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A)))
% 15.61/15.69 => ? [C_16] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))
% 15.61/15.69 & B = image_int_a(F,C_16) ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_257_finite__subset__image,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))
% 15.61/15.69 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A)))
% 15.61/15.69 => ? [C_16] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))
% 15.61/15.69 & B = image_275383677t_bool(F,C_16) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_258_finite__subset__image,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))
% 15.61/15.69 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A)))
% 15.61/15.69 => ? [C_16] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))
% 15.61/15.69 & B = image_892525857t_bool(F,C_16) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_259_finite__subset__image,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( is_fun1661590463l_bool(B)
% 15.61/15.69 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 15.61/15.69 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A)))
% 15.61/15.69 => ? [C_16] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))
% 15.61/15.69 & B = image_637364955e_bool(F,C_16) ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_260_finite__subset__image,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( is_fun949378684l_bool(B)
% 15.61/15.69 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))
% 15.61/15.69 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A)))
% 15.61/15.69 => ? [C_16] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))
% 15.61/15.69 & B = image_int_fun_a_bool(F,C_16) ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_261_finite__subset__image,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( is_fun_pname_bool(B)
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A)))
% 15.61/15.69 => ? [C_16] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))
% 15.61/15.69 & B = image_int_pname(F,C_16) ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_262_finite__subset__image,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( is_fun_a_bool(B)
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))
% 15.61/15.69 => ? [C_16] :
% 15.61/15.69 ( is_fun_pname_bool(C_16)
% 15.61/15.69 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))
% 15.61/15.69 & B = image_pname_a(F,C_16) ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_263_finite__subset__image,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))
% 15.61/15.69 => ? [C_16] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))
% 15.61/15.69 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))
% 15.61/15.69 & B = image_nat_int(F,C_16) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_264_lift__Suc__mono__le,axiom,
% 15.61/15.69 ! [Na,N_3,F] :
% 15.61/15.69 ( ! [N_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,N_1)),hAPP_n1025906991e_bool(F,hAPP_nat_nat(suc,N_1))))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,Na)),hAPP_n1025906991e_bool(F,N_3))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_265_lift__Suc__mono__le,axiom,
% 15.61/15.69 ! [Na,N_3,F] :
% 15.61/15.69 ( ! [N_1] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,N_1)),hAPP_nat_bool(F,hAPP_nat_nat(suc,N_1))))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,Na)),hAPP_nat_bool(F,N_3))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_266_lift__Suc__mono__le,axiom,
% 15.61/15.69 ! [Na,N_3,F] :
% 15.61/15.69 ( ! [N_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,N_1)),hAPP_nat_fun_a_bool(F,hAPP_nat_nat(suc,N_1))))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,Na)),hAPP_nat_fun_a_bool(F,N_3))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_267_lift__Suc__mono__le,axiom,
% 15.61/15.69 ! [Na,N_3,F] :
% 15.61/15.69 ( ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_1))))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_3))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_268_lift__Suc__mono__le,axiom,
% 15.61/15.69 ! [Na,N_3,F] :
% 15.61/15.69 ( ! [N_1] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,N_1)),hAPP_nat_int(F,hAPP_nat_nat(suc,N_1))))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,Na)),hAPP_nat_int(F,N_3))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_269_lift__Suc__mono__le,axiom,
% 15.61/15.69 ! [Na,N_3,F] :
% 15.61/15.69 ( ! [N_1] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,N_1)),hAPP_n1699378549t_bool(F,hAPP_nat_nat(suc,N_1))))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,Na)),hAPP_n1699378549t_bool(F,N_3))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_270_lift__Suc__mono__le,axiom,
% 15.61/15.69 ! [Na,N_3,F] :
% 15.61/15.69 ( ! [N_1] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_n1082236369t_bool(F,N_1)),hAPP_n1082236369t_bool(F,hAPP_nat_nat(suc,N_1))))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_n1082236369t_bool(F,Na)),hAPP_n1082236369t_bool(F,N_3))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_271_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.69 => ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f274826591t_bool(cOMBC_620423604l_bool(cOMBB_1123824708ol_nat(fequal_fun_int_bool,F)),hAPP_n1082236369t_bool(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_272_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.69 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,F)),hAPP_n1699378549t_bool(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_273_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.69 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,F)),hAPP_n1025906991e_bool(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_274_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.69 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,F)),hAPP_nat_fun_a_bool(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_275_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_a_fun_int_bool(cOMBC_int_a_bool(cOMBB_375279840ol_int(fequal_a,F)),hAPP_int_a(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_276_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.69 => ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(cOMBB_1761098400ol_int(fequal_fun_int_bool,F)),hAPP_i1948725293t_bool(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_277_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.69 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f183368031t_bool(cOMBC_1848398772l_bool(cOMBB_516767136ol_int(fequal_fun_nat_bool,F)),hAPP_i418383825t_bool(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_278_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.69 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f449020825t_bool(cOMBC_316919022l_bool(cOMBB_607112096ol_int(fequal533582459e_bool,F)),hAPP_i7355787e_bool(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_279_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.69 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f1812805200t_bool(cOMBC_1753430397l_bool(cOMBB_313729068ol_int(fequal_fun_a_bool,F)),hAPP_int_fun_a_bool(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_280_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( is_pname(X_2)
% 15.61/15.69 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,F)),hAPP_pname_a(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_281_pigeonhole__infinite,axiom,
% 15.61/15.69 ! [F,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(F,A)))
% 15.61/15.69 => ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_i418383825t_bool(cOMBC_nat_int_bool(cOMBB_1628441366ol_nat(fequal_int,F)),hAPP_nat_int(F,X_2)))))) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_282_image__eqI,axiom,
% 15.61/15.69 ! [A,B_3,F,X_1] :
% 15.61/15.69 ( B_3 = hAPP_nat_int(F,X_1)
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_283_image__eqI,axiom,
% 15.61/15.69 ! [A,B_3,F,X_1] :
% 15.61/15.69 ( B_3 = hAPP_pname_a(F,X_1)
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_284_equalityI,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))
% 15.61/15.69 => A = B ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_285_equalityI,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))
% 15.61/15.69 => A = B ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_286_equalityI,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( ( is_fun_a_bool(A)
% 15.61/15.69 & is_fun_a_bool(B) )
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))
% 15.61/15.69 => A = B ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_287_subsetD,axiom,
% 15.61/15.69 ! [C_6,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_288_subsetD,axiom,
% 15.61/15.69 ! [C_6,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_289_subsetD,axiom,
% 15.61/15.69 ! [C_6,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_290_subsetD,axiom,
% 15.61/15.69 ! [C_6,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_291_insertCI,axiom,
% 15.61/15.69 ! [B_3,A_2,B] :
% 15.61/15.69 ( ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))
% 15.61/15.69 => A_2 = B_3 )
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_292_insertCI,axiom,
% 15.61/15.69 ! [B_3,A_2,B] :
% 15.61/15.69 ( ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))
% 15.61/15.69 => A_2 = B_3 )
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_293_insertCI,axiom,
% 15.61/15.69 ! [B_3,A_2,B] :
% 15.61/15.69 ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))
% 15.61/15.69 => A_2 = B_3 )
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_294_insertCI,axiom,
% 15.61/15.69 ! [B_3,A_2,B] :
% 15.61/15.69 ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))
% 15.61/15.69 => A_2 = B_3 )
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_295_insertE,axiom,
% 15.61/15.69 ! [A_2,B_3,A] :
% 15.61/15.69 ( ( is_a(A_2)
% 15.61/15.69 & is_a(B_3) )
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A)))
% 15.61/15.69 => ( A_2 != B_3
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_296_insertE,axiom,
% 15.61/15.69 ! [A_2,B_3,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A)))
% 15.61/15.69 => ( A_2 != B_3
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_297_insertE,axiom,
% 15.61/15.69 ! [A_2,B_3,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A)))
% 15.61/15.69 => ( A_2 != B_3
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_298_insertE,axiom,
% 15.61/15.69 ! [A_2,B_3,A] :
% 15.61/15.69 ( ( is_pname(A_2)
% 15.61/15.69 & is_pname(B_3) )
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A)))
% 15.61/15.69 => ( A_2 != B_3
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_299_zero__induct__lemma,axiom,
% 15.61/15.69 ! [I_2,Pa,K] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(Pa,K))
% 15.61/15.69 => ( ! [N_1] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1)))
% 15.61/15.69 => hBOOL(hAPP_nat_bool(Pa,N_1)) )
% 15.61/15.69 => hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K),I_2))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_300_Suc__le__D,axiom,
% 15.61/15.69 ! [N,M_4] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N)),M_4))
% 15.61/15.69 => ? [M_2] : M_4 = hAPP_nat_nat(suc,M_2) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_301_order__refl,axiom,
% 15.61/15.69 ! [X_1] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),X_1)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_302_order__refl,axiom,
% 15.61/15.69 ! [X_1] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),X_1)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_303_order__refl,axiom,
% 15.61/15.69 ! [X_11] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_11),X_11)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_304_order__refl,axiom,
% 15.61/15.69 ! [X_11] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_11),X_11)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_305_order__refl,axiom,
% 15.61/15.69 ! [X_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),X_1)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_306_linorder__linear,axiom,
% 15.61/15.69 ! [X_10,Y_9] :
% 15.61/15.69 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_10),Y_9))
% 15.61/15.69 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_9),X_10)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_307_linorder__linear,axiom,
% 15.61/15.69 ! [X_10,Y_9] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_10),Y_9))
% 15.61/15.69 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_9),X_10)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_308_order__eq__iff,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( X_1 = Y_1
% 15.61/15.69 <=> ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_309_order__eq__iff,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( X_1 = Y_1
% 15.61/15.69 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))
% 15.61/15.69 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_310_order__eq__iff,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( X_1 = Y_1
% 15.61/15.69 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_1),Y_1))
% 15.61/15.69 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_1),X_1)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_311_order__eq__iff,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( X_1 = Y_1
% 15.61/15.69 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),Y_1))
% 15.61/15.69 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_1),X_1)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_312_order__eq__iff,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( ( is_fun_a_bool(X_1)
% 15.61/15.69 & is_fun_a_bool(Y_1) )
% 15.61/15.69 => ( X_1 = Y_1
% 15.61/15.69 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))
% 15.61/15.69 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_313_order__eq__refl,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( X_1 = Y_1
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_314_order__eq__refl,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( X_1 = Y_1
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_315_order__eq__refl,axiom,
% 15.61/15.69 ! [X_9,Y_8] :
% 15.61/15.69 ( X_9 = Y_8
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_9),Y_8)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_316_order__eq__refl,axiom,
% 15.61/15.69 ! [X_9,Y_8] :
% 15.61/15.69 ( X_9 = Y_8
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_9),Y_8)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_317_order__eq__refl,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( X_1 = Y_1
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_318_order__antisym__conv,axiom,
% 15.61/15.69 ! [Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))
% 15.61/15.69 <=> X_1 = Y_1 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_319_order__antisym__conv,axiom,
% 15.61/15.69 ! [Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))
% 15.61/15.69 <=> X_1 = Y_1 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_320_order__antisym__conv,axiom,
% 15.61/15.69 ! [Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_1),Y_1))
% 15.61/15.69 <=> X_1 = Y_1 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_321_order__antisym__conv,axiom,
% 15.61/15.69 ! [Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),Y_1))
% 15.61/15.69 <=> X_1 = Y_1 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_322_order__antisym__conv,axiom,
% 15.61/15.69 ! [Y_1,X_1] :
% 15.61/15.69 ( ( is_fun_a_bool(Y_1)
% 15.61/15.69 & is_fun_a_bool(X_1) )
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))
% 15.61/15.69 <=> X_1 = Y_1 ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_323_ord__eq__le__trans,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( A_2 = B_3
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_3),C_6))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),C_6)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_324_ord__eq__le__trans,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( A_2 = B_3
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_3),C_6))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),C_6)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_325_ord__eq__le__trans,axiom,
% 15.61/15.69 ! [C_15,A_21,B_19] :
% 15.61/15.69 ( A_21 = B_19
% 15.61/15.69 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_19),C_15))
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_21),C_15)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_326_ord__eq__le__trans,axiom,
% 15.61/15.69 ! [C_15,A_21,B_19] :
% 15.61/15.69 ( A_21 = B_19
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_19),C_15))
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_21),C_15)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_327_ord__eq__le__trans,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( A_2 = B_3
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_3),C_6))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),C_6)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_328_xt1_I3_J,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( A_2 = B_3
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),B_3))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),A_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_329_xt1_I3_J,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( A_2 = B_3
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),B_3))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),A_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_330_xt1_I3_J,axiom,
% 15.61/15.69 ! [C_14,A_20,B_18] :
% 15.61/15.69 ( A_20 = B_18
% 15.61/15.69 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_14),B_18))
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_14),A_20)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_331_xt1_I3_J,axiom,
% 15.61/15.69 ! [C_14,A_20,B_18] :
% 15.61/15.69 ( A_20 = B_18
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_14),B_18))
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_14),A_20)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_332_xt1_I3_J,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( A_2 = B_3
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),B_3))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),A_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_333_ord__le__eq__trans,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),B_3))
% 15.61/15.69 => ( B_3 = C_6
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),C_6)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_334_ord__le__eq__trans,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),B_3))
% 15.61/15.69 => ( B_3 = C_6
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),C_6)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_335_ord__le__eq__trans,axiom,
% 15.61/15.69 ! [C_13,A_19,B_17] :
% 15.61/15.69 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_19),B_17))
% 15.61/15.69 => ( B_17 = C_13
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_19),C_13)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_336_ord__le__eq__trans,axiom,
% 15.61/15.69 ! [C_13,A_19,B_17] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_19),B_17))
% 15.61/15.69 => ( B_17 = C_13
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_19),C_13)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_337_ord__le__eq__trans,axiom,
% 15.61/15.69 ! [C_6,A_2,B_3] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),B_3))
% 15.61/15.69 => ( B_3 = C_6
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),C_6)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_338_xt1_I4_J,axiom,
% 15.61/15.69 ! [C_6,B_3,A_2] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_3),A_2))
% 15.61/15.69 => ( B_3 = C_6
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),A_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_339_xt1_I4_J,axiom,
% 15.61/15.69 ! [C_6,B_3,A_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_3),A_2))
% 15.61/15.69 => ( B_3 = C_6
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),A_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_340_xt1_I4_J,axiom,
% 15.61/15.69 ! [C_12,B_16,A_18] :
% 15.61/15.69 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_16),A_18))
% 15.61/15.69 => ( B_16 = C_12
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_12),A_18)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_341_xt1_I4_J,axiom,
% 15.61/15.69 ! [C_12,B_16,A_18] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_16),A_18))
% 15.61/15.69 => ( B_16 = C_12
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_12),A_18)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_342_xt1_I4_J,axiom,
% 15.61/15.69 ! [C_6,B_3,A_2] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_3),A_2))
% 15.61/15.69 => ( B_3 = C_6
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),A_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_343_order__antisym,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))
% 15.61/15.69 => X_1 = Y_1 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_344_order__antisym,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))
% 15.61/15.69 => X_1 = Y_1 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_345_order__antisym,axiom,
% 15.61/15.69 ! [X_8,Y_7] :
% 15.61/15.69 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_8),Y_7))
% 15.61/15.69 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_7),X_8))
% 15.61/15.69 => X_8 = Y_7 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_346_order__antisym,axiom,
% 15.61/15.69 ! [X_8,Y_7] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_8),Y_7))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_7),X_8))
% 15.61/15.69 => X_8 = Y_7 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_347_order__antisym,axiom,
% 15.61/15.69 ! [X_1,Y_1] :
% 15.61/15.69 ( ( is_fun_a_bool(X_1)
% 15.61/15.69 & is_fun_a_bool(Y_1) )
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))
% 15.61/15.69 => X_1 = Y_1 ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_348_order__trans,axiom,
% 15.61/15.69 ! [Z_2,X_1,Y_1] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),Z_2))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Z_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_349_order__trans,axiom,
% 15.61/15.69 ! [Z_2,X_1,Y_1] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),Z_2))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Z_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_350_order__trans,axiom,
% 15.61/15.69 ! [Z_6,X_7,Y_6] :
% 15.61/15.69 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_7),Y_6))
% 15.61/15.69 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_6),Z_6))
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_7),Z_6)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_351_order__trans,axiom,
% 15.61/15.69 ! [Z_6,X_7,Y_6] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_7),Y_6))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_6),Z_6))
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_7),Z_6)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_352_order__trans,axiom,
% 15.61/15.69 ! [Z_2,X_1,Y_1] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),Z_2))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Z_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_353_xt1_I5_J,axiom,
% 15.61/15.69 ! [Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))
% 15.61/15.69 => X_1 = Y_1 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_354_xt1_I5_J,axiom,
% 15.61/15.69 ! [Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))
% 15.61/15.69 => X_1 = Y_1 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_355_xt1_I5_J,axiom,
% 15.61/15.69 ! [Y_5,X_6] :
% 15.61/15.69 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_5),X_6))
% 15.61/15.69 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_6),Y_5))
% 15.61/15.69 => X_6 = Y_5 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_356_xt1_I5_J,axiom,
% 15.61/15.69 ! [Y_5,X_6] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_5),X_6))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_6),Y_5))
% 15.61/15.69 => X_6 = Y_5 ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_357_xt1_I5_J,axiom,
% 15.61/15.69 ! [Y_1,X_1] :
% 15.61/15.69 ( ( is_fun_a_bool(Y_1)
% 15.61/15.69 & is_fun_a_bool(X_1) )
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))
% 15.61/15.69 => X_1 = Y_1 ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_358_xt1_I6_J,axiom,
% 15.61/15.69 ! [Z_2,Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Y_1))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),X_1)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_359_xt1_I6_J,axiom,
% 15.61/15.69 ! [Z_2,Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Y_1))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),X_1)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_360_xt1_I6_J,axiom,
% 15.61/15.69 ! [Z_5,Y_4,X_5] :
% 15.61/15.69 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_4),X_5))
% 15.61/15.69 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_5),Y_4))
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_5),X_5)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_361_xt1_I6_J,axiom,
% 15.61/15.69 ! [Z_5,Y_4,X_5] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_4),X_5))
% 15.61/15.69 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_5),Y_4))
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_5),X_5)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_362_xt1_I6_J,axiom,
% 15.61/15.69 ! [Z_2,Y_1,X_1] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_2),Y_1))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_2),X_1)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_363_linorder__le__cases,axiom,
% 15.61/15.69 ! [X_4,Y_3] :
% 15.61/15.69 ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_4),Y_3))
% 15.61/15.69 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_3),X_4)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_364_linorder__le__cases,axiom,
% 15.61/15.69 ! [X_4,Y_3] :
% 15.61/15.69 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_4),Y_3))
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_3),X_4)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_365_insertI1,axiom,
% 15.61/15.69 ! [A_2,B] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_366_insertI1,axiom,
% 15.61/15.69 ! [A_2,B] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_367_insertI1,axiom,
% 15.61/15.69 ! [A_2,B] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_368_insertI1,axiom,
% 15.61/15.69 ! [A_2,B] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_369_insert__compr,axiom,
% 15.61/15.69 ! [A_2,B] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_370_insert__compr,axiom,
% 15.61/15.69 ! [A_2,B] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_371_insert__compr,axiom,
% 15.61/15.69 ! [A_2,B] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_372_insert__compr,axiom,
% 15.61/15.69 ! [A_2,B] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_373_insert__Collect,axiom,
% 15.61/15.69 ! [A_2,Pa] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),collect_a(Pa)) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2))),Pa)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_374_insert__Collect,axiom,
% 15.61/15.69 ! [A_2,Pa] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),collect_int(Pa)) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fimplies,cOMBB_bool_bool_int(fNot,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2))),Pa)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_375_insert__Collect,axiom,
% 15.61/15.69 ! [A_2,Pa] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),collect_nat(Pa)) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2))),Pa)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_376_mem__def,axiom,
% 15.61/15.69 ! [X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.69 <=> hBOOL(hAPP_int_bool(A,X_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_377_mem__def,axiom,
% 15.61/15.69 ! [X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 <=> hBOOL(hAPP_nat_bool(A,X_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_378_mem__def,axiom,
% 15.61/15.69 ! [X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.69 <=> hBOOL(hAPP_a_bool(A,X_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_379_mem__def,axiom,
% 15.61/15.69 ! [X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 <=> hBOOL(hAPP_pname_bool(A,X_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_380_Collect__def,axiom,
% 15.61/15.69 ! [Pa] : collect_int(Pa) = Pa ).
% 15.61/15.69
% 15.61/15.69 fof(fact_381_Collect__def,axiom,
% 15.61/15.69 ! [Pa] : collect_nat(Pa) = Pa ).
% 15.61/15.69
% 15.61/15.69 fof(fact_382_insert__absorb2,axiom,
% 15.61/15.69 ! [X_1,A] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_383_insert__commute,axiom,
% 15.61/15.69 ! [X_1,Y_1,A] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_384_insert__iff,axiom,
% 15.61/15.69 ! [A_2,B_3,A] :
% 15.61/15.69 ( ( is_a(A_2)
% 15.61/15.69 & is_a(B_3) )
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A)))
% 15.61/15.69 <=> ( A_2 = B_3
% 15.61/15.69 | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_385_insert__iff,axiom,
% 15.61/15.69 ! [A_2,B_3,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A)))
% 15.61/15.69 <=> ( A_2 = B_3
% 15.61/15.69 | hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_386_insert__iff,axiom,
% 15.61/15.69 ! [A_2,B_3,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A)))
% 15.61/15.69 <=> ( A_2 = B_3
% 15.61/15.69 | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_387_insert__iff,axiom,
% 15.61/15.69 ! [A_2,B_3,A] :
% 15.61/15.69 ( ( is_pname(A_2)
% 15.61/15.69 & is_pname(B_3) )
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A)))
% 15.61/15.69 <=> ( A_2 = B_3
% 15.61/15.69 | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_388_insert__code,axiom,
% 15.61/15.69 ! [Y_1,A,X_1] :
% 15.61/15.69 ( ( is_a(Y_1)
% 15.61/15.69 & is_a(X_1) )
% 15.61/15.69 => ( hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A),X_1))
% 15.61/15.69 <=> ( Y_1 = X_1
% 15.61/15.69 | hBOOL(hAPP_a_bool(A,X_1)) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_389_insert__ident,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( ( is_fun_a_bool(B)
% 15.61/15.69 & is_fun_a_bool(A) )
% 15.61/15.69 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.69 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))
% 15.61/15.69 => ( hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)
% 15.61/15.69 <=> A = B ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_390_insert__ident,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.69 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))
% 15.61/15.69 => ( hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)
% 15.61/15.69 <=> A = B ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_391_insert__ident,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))
% 15.61/15.69 => ( hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)
% 15.61/15.69 <=> A = B ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_392_insert__ident,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( ( is_fun_pname_bool(B)
% 15.61/15.69 & is_fun_pname_bool(A) )
% 15.61/15.69 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))
% 15.61/15.69 => ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)
% 15.61/15.69 <=> A = B ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_393_insertI2,axiom,
% 15.61/15.69 ! [B_3,A_2,B] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_394_insertI2,axiom,
% 15.61/15.69 ! [B_3,A_2,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_395_insertI2,axiom,
% 15.61/15.69 ! [B_3,A_2,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_396_insertI2,axiom,
% 15.61/15.69 ! [B_3,A_2,B] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_397_insert__absorb,axiom,
% 15.61/15.69 ! [A_2,A] :
% 15.61/15.69 ( is_fun_a_bool(A)
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))
% 15.61/15.69 => hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A) = A ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_398_insert__absorb,axiom,
% 15.61/15.69 ! [A_2,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))
% 15.61/15.69 => hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A) = A ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_399_insert__absorb,axiom,
% 15.61/15.69 ! [A_2,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))
% 15.61/15.69 => hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A) = A ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_400_insert__absorb,axiom,
% 15.61/15.69 ! [A_2,A] :
% 15.61/15.69 ( is_fun_pname_bool(A)
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))
% 15.61/15.69 => hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A) = A ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_401_subset__refl,axiom,
% 15.61/15.69 ! [A] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),A)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_402_subset__refl,axiom,
% 15.61/15.69 ! [A] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),A)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_403_subset__refl,axiom,
% 15.61/15.69 ! [A] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),A)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_404_set__eq__subset,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 <=> ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_405_set__eq__subset,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_406_set__eq__subset,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( ( is_fun_a_bool(A)
% 15.61/15.69 & is_fun_a_bool(B) )
% 15.61/15.69 => ( A = B
% 15.61/15.69 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_407_equalityD1,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_408_equalityD1,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_409_equalityD1,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_410_equalityD2,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_411_equalityD2,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_412_equalityD2,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_413_in__mono,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_414_in__mono,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_415_in__mono,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_416_in__mono,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_417_set__rev__mp,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_418_set__rev__mp,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_419_set__rev__mp,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_420_set__rev__mp,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_421_set__mp,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_422_set__mp,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_423_set__mp,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_424_set__mp,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_425_subset__trans,axiom,
% 15.61/15.69 ! [C_11,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C_11))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C_11)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_426_subset__trans,axiom,
% 15.61/15.69 ! [C_11,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C_11))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C_11)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_427_subset__trans,axiom,
% 15.61/15.69 ! [C_11,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C_11))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C_11)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_428_equalityE,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => ~ ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 => ~ hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_429_equalityE,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_430_equalityE,axiom,
% 15.61/15.69 ! [A,B] :
% 15.61/15.69 ( A = B
% 15.61/15.69 => ~ ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_431_image__iff,axiom,
% 15.61/15.69 ! [Z_2,F,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Z_2),image_nat_int(F,A)))
% 15.61/15.69 <=> ? [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 & Z_2 = hAPP_nat_int(F,X_2) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_432_image__iff,axiom,
% 15.61/15.69 ! [Z_2,F,A] :
% 15.61/15.69 ( is_a(Z_2)
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_2),image_pname_a(F,A)))
% 15.61/15.69 <=> ? [X_2] :
% 15.61/15.69 ( is_pname(X_2)
% 15.61/15.69 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 15.61/15.69 & Z_2 = hAPP_pname_a(F,X_2) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_433_imageI,axiom,
% 15.61/15.69 ! [F,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(F,X_1)),image_nat_int(F,A))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_434_imageI,axiom,
% 15.61/15.69 ! [F,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_435_rev__image__eqI,axiom,
% 15.61/15.69 ! [B_3,F,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => ( B_3 = hAPP_nat_int(F,X_1)
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_436_rev__image__eqI,axiom,
% 15.61/15.69 ! [B_3,F,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => ( B_3 = hAPP_pname_a(F,X_1)
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_437_insert__compr__raw,axiom,
% 15.61/15.69 ! [X_2,Xa] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),Xa) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X_2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Xa))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_438_insert__compr__raw,axiom,
% 15.61/15.69 ! [X_2,Xa] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),Xa) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),X_2)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),Xa))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_439_insert__compr__raw,axiom,
% 15.61/15.69 ! [X_2,Xa] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),Xa) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X_2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),Xa))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_440_insert__compr__raw,axiom,
% 15.61/15.69 ! [X_2,Xa] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),Xa) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),Xa))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_441_le__fun__def,axiom,
% 15.61/15.69 ! [F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))
% 15.61/15.69 <=> ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(F,X_2)),hAPP_int_bool(G_1,X_2))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_442_le__fun__def,axiom,
% 15.61/15.69 ! [F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))
% 15.61/15.69 <=> ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G_1,X_2))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_443_le__fun__def,axiom,
% 15.61/15.69 ! [F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))
% 15.61/15.69 <=> ! [X_2] :
% 15.61/15.69 ( is_a(X_2)
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_2)),hAPP_a_bool(G_1,X_2))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_444_le__funD,axiom,
% 15.61/15.69 ! [X_1,F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G_1,X_1))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_445_le__funD,axiom,
% 15.61/15.69 ! [X_1,F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_446_le__funD,axiom,
% 15.61/15.69 ! [X_1,F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_447_le__funE,axiom,
% 15.61/15.69 ! [X_1,F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G_1,X_1))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_448_le__funE,axiom,
% 15.61/15.69 ! [X_1,F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_449_le__funE,axiom,
% 15.61/15.69 ! [X_1,F,G_1] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_450_subset__insertI,axiom,
% 15.61/15.69 ! [B,A_2] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_451_subset__insertI,axiom,
% 15.61/15.69 ! [B,A_2] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_452_subset__insertI,axiom,
% 15.61/15.69 ! [B,A_2] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_453_insert__subset,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B))
% 15.61/15.69 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))
% 15.61/15.69 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_454_insert__subset,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B))
% 15.61/15.69 <=> ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))
% 15.61/15.69 & hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_455_insert__subset,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B))
% 15.61/15.69 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))
% 15.61/15.69 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_456_insert__subset,axiom,
% 15.61/15.69 ! [X_1,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B))
% 15.61/15.69 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))
% 15.61/15.69 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_457_subset__insert,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))
% 15.61/15.69 <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_458_subset__insert,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.69 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))
% 15.61/15.69 <=> hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_459_subset__insert,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))
% 15.61/15.69 <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_460_subset__insert,axiom,
% 15.61/15.69 ! [B,X_1,A] :
% 15.61/15.69 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))
% 15.61/15.69 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_461_subset__insertI2,axiom,
% 15.61/15.69 ! [B_3,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_462_subset__insertI2,axiom,
% 15.61/15.69 ! [B_3,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_463_subset__insertI2,axiom,
% 15.61/15.69 ! [B_3,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_464_insert__mono,axiom,
% 15.61/15.69 ! [A_2,C_11,D_4] :
% 15.61/15.69 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_11),D_4))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),C_11)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),D_4))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_465_insert__mono,axiom,
% 15.61/15.69 ! [A_2,C_11,D_4] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_11),D_4))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),C_11)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),D_4))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_466_insert__mono,axiom,
% 15.61/15.69 ! [A_2,C_11,D_4] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_11),D_4))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),C_11)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),D_4))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_467_image__insert,axiom,
% 15.61/15.69 ! [F,A_2,B] : image_nat_int(F,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,hAPP_nat_int(F,A_2)),image_nat_int(F,B)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_468_image__insert,axiom,
% 15.61/15.69 ! [F,A_2,B] : image_pname_a(F,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,A_2)),image_pname_a(F,B)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_469_insert__image,axiom,
% 15.61/15.69 ! [F,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.69 => hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,hAPP_nat_int(F,X_1)),image_nat_int(F,A)) = image_nat_int(F,A) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_470_insert__image,axiom,
% 15.61/15.69 ! [F,X_1,A] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.69 => hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A)) = image_pname_a(F,A) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_471_subset__image__iff,axiom,
% 15.61/15.69 ! [B,F,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))
% 15.61/15.69 <=> ? [AA] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,AA),A))
% 15.61/15.69 & B = image_nat_int(F,AA) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_472_subset__image__iff,axiom,
% 15.61/15.69 ! [B,F,A] :
% 15.61/15.69 ( is_fun_a_bool(B)
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))
% 15.61/15.69 <=> ? [AA] :
% 15.61/15.69 ( is_fun_pname_bool(AA)
% 15.61/15.69 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A))
% 15.61/15.69 & B = image_pname_a(F,AA) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_473_image__mono,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(F,A)),image_nat_int(F,B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_474_image__mono,axiom,
% 15.61/15.69 ! [F,A,B] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),image_pname_a(F,B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_475_imageE,axiom,
% 15.61/15.69 ! [B_3,F,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A)))
% 15.61/15.69 => ~ ! [X_2] :
% 15.61/15.69 ( B_3 = hAPP_nat_int(F,X_2)
% 15.61/15.69 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_476_imageE,axiom,
% 15.61/15.69 ! [B_3,F,A] :
% 15.61/15.69 ( is_a(B_3)
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A)))
% 15.61/15.69 => ~ ! [X_2] :
% 15.61/15.69 ( is_pname(X_2)
% 15.61/15.69 => ( B_3 = hAPP_pname_a(F,X_2)
% 15.61/15.69 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) ) ) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_477_subsetI,axiom,
% 15.61/15.69 ! [B,A] :
% 15.61/15.69 ( ! [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),B)) )
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_478_subsetI,axiom,
% 15.61/15.69 ! [B,A] :
% 15.61/15.69 ( ! [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) )
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_479_subsetI,axiom,
% 15.61/15.69 ! [B,A] :
% 15.61/15.69 ( ! [X_2] :
% 15.61/15.69 ( is_a(X_2)
% 15.61/15.69 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B)) ) )
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_480_subsetI,axiom,
% 15.61/15.69 ! [B,A] :
% 15.61/15.69 ( ! [X_2] :
% 15.61/15.69 ( is_pname(X_2)
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) )
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_481_image__subsetI,axiom,
% 15.61/15.69 ! [F,B,A] :
% 15.61/15.69 ( ! [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(F,X_2)),B)) )
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(F,A)),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_482_image__subsetI,axiom,
% 15.61/15.69 ! [F,B,A] :
% 15.61/15.69 ( ! [X_2] :
% 15.61/15.69 ( is_pname(X_2)
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_2)),B)) ) )
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),B)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_483_le__funI,axiom,
% 15.61/15.69 ! [F,G_1] :
% 15.61/15.69 ( ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(F,X_2)),hAPP_int_bool(G_1,X_2)))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_484_le__funI,axiom,
% 15.61/15.69 ! [F,G_1] :
% 15.61/15.69 ( ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G_1,X_2)))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_485_le__funI,axiom,
% 15.61/15.69 ! [F,G_1] :
% 15.61/15.69 ( ! [X_2] :
% 15.61/15.69 ( is_a(X_2)
% 15.61/15.69 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_2)),hAPP_a_bool(G_1,X_2))) )
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_486_finite__nat__set__iff__bounded__le,axiom,
% 15.61/15.69 ! [N_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))
% 15.61/15.69 <=> ? [M_2] :
% 15.61/15.69 ! [X_2] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2))
% 15.61/15.69 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),M_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_487_assms_I3_J,axiom,
% 15.61/15.69 ! [G,C_6] :
% 15.61/15.69 ( hBOOL(wt(C_6))
% 15.61/15.69 => ( ! [X_2] :
% 15.61/15.69 ( is_pname(X_2)
% 15.61/15.69 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),u))
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,X_2)),bot_bot_fun_a_bool))) ) )
% 15.61/15.69 => hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(C_6)),bot_bot_fun_a_bool))) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_488_diff__eq__diff__less__eq,axiom,
% 15.61/15.69 ! [A_2,B_3,C_6,D_1] :
% 15.61/15.69 ( hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1)
% 15.61/15.69 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_2),B_3))
% 15.61/15.69 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_6),D_1)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_489_less__eq__nat_Osimps_I2_J,axiom,
% 15.61/15.69 ! [M,Na] :
% 15.61/15.69 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M)),Na))
% 15.61/15.69 <=> hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,M)),Na)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_490_emptyE,axiom,
% 15.61/15.69 ! [A_2] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),bot_bot_fun_int_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_491_emptyE,axiom,
% 15.61/15.69 ! [A_2] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),bot_bot_fun_nat_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_492_emptyE,axiom,
% 15.61/15.69 ! [A_2] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),bot_bot_fun_a_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_493_emptyE,axiom,
% 15.61/15.69 ! [A_2] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),bot_bo844097828e_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_494_finite__Diff,axiom,
% 15.61/15.69 ! [B,A] :
% 15.61/15.69 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.69 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_495_finite__Diff,axiom,
% 15.61/15.69 ! [B,A] :
% 15.61/15.69 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.69 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_496_finite__Diff,axiom,
% 15.61/15.69 ! [B,A] :
% 15.61/15.69 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.69 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_497_finite_OemptyI,axiom,
% 15.61/15.69 hBOOL(hAPP_f448129468l_bool(finite_finite_int,bot_bot_fun_int_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_498_finite_OemptyI,axiom,
% 15.61/15.69 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_499_finite_OemptyI,axiom,
% 15.61/15.69 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_500_finite_OemptyI,axiom,
% 15.61/15.69 hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_501_empty__subsetI,axiom,
% 15.61/15.69 ! [A] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_502_empty__subsetI,axiom,
% 15.61/15.69 ! [A] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_503_empty__subsetI,axiom,
% 15.61/15.69 ! [A] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_504_equals0D,axiom,
% 15.61/15.69 ! [A_2,A] :
% 15.61/15.69 ( A = bot_bot_fun_int_bool
% 15.61/15.69 => ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_505_equals0D,axiom,
% 15.61/15.69 ! [A_2,A] :
% 15.61/15.69 ( A = bot_bot_fun_nat_bool
% 15.61/15.69 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_506_equals0D,axiom,
% 15.61/15.69 ! [A_2,A] :
% 15.61/15.69 ( A = bot_bot_fun_a_bool
% 15.61/15.69 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_507_equals0D,axiom,
% 15.61/15.69 ! [A_2,A] :
% 15.61/15.69 ( A = bot_bo844097828e_bool
% 15.61/15.69 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_508_Collect__empty__eq,axiom,
% 15.61/15.69 ! [Pa] :
% 15.61/15.69 ( collect_int(Pa) = bot_bot_fun_int_bool
% 15.61/15.69 <=> ! [X_2] : ~ hBOOL(hAPP_int_bool(Pa,X_2)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_509_Collect__empty__eq,axiom,
% 15.61/15.69 ! [Pa] :
% 15.61/15.69 ( collect_nat(Pa) = bot_bot_fun_nat_bool
% 15.61/15.69 <=> ! [X_2] : ~ hBOOL(hAPP_nat_bool(Pa,X_2)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_510_Collect__empty__eq,axiom,
% 15.61/15.69 ! [Pa] :
% 15.61/15.69 ( collect_a(Pa) = bot_bot_fun_a_bool
% 15.61/15.69 <=> ! [X_2] :
% 15.61/15.69 ( is_a(X_2)
% 15.61/15.69 => ~ hBOOL(hAPP_a_bool(Pa,X_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_511_Diff__cancel,axiom,
% 15.61/15.69 ! [A] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),A) = bot_bot_fun_nat_bool ).
% 15.61/15.69
% 15.61/15.69 fof(fact_512_Diff__cancel,axiom,
% 15.61/15.69 ! [A] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),A) = bot_bot_fun_int_bool ).
% 15.61/15.69
% 15.61/15.69 fof(fact_513_Diff__cancel,axiom,
% 15.61/15.69 ! [A] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),A) = bot_bot_fun_a_bool ).
% 15.61/15.69
% 15.61/15.69 fof(fact_514_Diff__empty,axiom,
% 15.61/15.69 ! [A] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),bot_bot_fun_nat_bool) = A ).
% 15.61/15.69
% 15.61/15.69 fof(fact_515_Diff__empty,axiom,
% 15.61/15.69 ! [A] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),bot_bot_fun_int_bool) = A ).
% 15.61/15.69
% 15.61/15.69 fof(fact_516_Diff__empty,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( is_fun_a_bool(A)
% 15.61/15.69 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),bot_bot_fun_a_bool) = A ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_517_empty__iff,axiom,
% 15.61/15.69 ! [C_6] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),bot_bot_fun_int_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_518_empty__iff,axiom,
% 15.61/15.69 ! [C_6] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),bot_bot_fun_nat_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_519_empty__iff,axiom,
% 15.61/15.69 ! [C_6] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),bot_bot_fun_a_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_520_empty__iff,axiom,
% 15.61/15.69 ! [C_6] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),bot_bo844097828e_bool)) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_521_empty__Collect__eq,axiom,
% 15.61/15.69 ! [Pa] :
% 15.61/15.69 ( bot_bot_fun_int_bool = collect_int(Pa)
% 15.61/15.69 <=> ! [X_2] : ~ hBOOL(hAPP_int_bool(Pa,X_2)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_522_empty__Collect__eq,axiom,
% 15.61/15.69 ! [Pa] :
% 15.61/15.69 ( bot_bot_fun_nat_bool = collect_nat(Pa)
% 15.61/15.69 <=> ! [X_2] : ~ hBOOL(hAPP_nat_bool(Pa,X_2)) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_523_empty__Collect__eq,axiom,
% 15.61/15.69 ! [Pa] :
% 15.61/15.69 ( bot_bot_fun_a_bool = collect_a(Pa)
% 15.61/15.69 <=> ! [X_2] :
% 15.61/15.69 ( is_a(X_2)
% 15.61/15.69 => ~ hBOOL(hAPP_a_bool(Pa,X_2)) ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_524_empty__Diff,axiom,
% 15.61/15.69 ! [A] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,bot_bot_fun_nat_bool),A) = bot_bot_fun_nat_bool ).
% 15.61/15.69
% 15.61/15.69 fof(fact_525_empty__Diff,axiom,
% 15.61/15.69 ! [A] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,bot_bot_fun_int_bool),A) = bot_bot_fun_int_bool ).
% 15.61/15.69
% 15.61/15.69 fof(fact_526_empty__Diff,axiom,
% 15.61/15.69 ! [A] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,bot_bot_fun_a_bool),A) = bot_bot_fun_a_bool ).
% 15.61/15.69
% 15.61/15.69 fof(fact_527_ex__in__conv,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( ? [X_2] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))
% 15.61/15.69 <=> A != bot_bot_fun_int_bool ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_528_ex__in__conv,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( ? [X_2] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 <=> A != bot_bot_fun_nat_bool ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_529_ex__in__conv,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( is_fun_a_bool(A)
% 15.61/15.69 => ( ? [X_2] :
% 15.61/15.69 ( is_a(X_2)
% 15.61/15.69 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) )
% 15.61/15.69 <=> A != bot_bot_fun_a_bool ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_530_ex__in__conv,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( is_fun_pname_bool(A)
% 15.61/15.69 => ( ? [X_2] :
% 15.61/15.69 ( is_pname(X_2)
% 15.61/15.69 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) )
% 15.61/15.69 <=> A != bot_bo844097828e_bool ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_531_all__not__in__conv,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( ! [X_2] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))
% 15.61/15.69 <=> A = bot_bot_fun_int_bool ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_532_all__not__in__conv,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( ! [X_2] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))
% 15.61/15.69 <=> A = bot_bot_fun_nat_bool ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_533_all__not__in__conv,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( is_fun_a_bool(A)
% 15.61/15.69 => ( ! [X_2] :
% 15.61/15.69 ( is_a(X_2)
% 15.61/15.69 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) )
% 15.61/15.69 <=> A = bot_bot_fun_a_bool ) ) ).
% 15.61/15.69
% 15.61/15.69 fof(fact_534_all__not__in__conv,axiom,
% 15.61/15.69 ! [A] :
% 15.61/15.69 ( is_fun_pname_bool(A)
% 15.61/15.69 => ( ! [X_2] :
% 15.61/15.70 ( is_pname(X_2)
% 15.61/15.70 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) )
% 15.61/15.70 <=> A = bot_bo844097828e_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_535_bot__apply,axiom,
% 15.61/15.70 ! [X_1] :
% 15.61/15.70 ( hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1))
% 15.61/15.70 <=> hBOOL(bot_bot_bool) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_536_bot__apply,axiom,
% 15.61/15.70 ! [X_1] :
% 15.61/15.70 ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_1))
% 15.61/15.70 <=> hBOOL(bot_bot_bool) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_537_bot__apply,axiom,
% 15.61/15.70 ! [X_1] :
% 15.61/15.70 ( hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1))
% 15.61/15.70 <=> hBOOL(bot_bot_bool) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_538_empty__def,axiom,
% 15.61/15.70 bot_bot_fun_int_bool = collect_int(cOMBK_bool_int(fFalse)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_539_empty__def,axiom,
% 15.61/15.70 bot_bot_fun_nat_bool = collect_nat(cOMBK_bool_nat(fFalse)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_540_empty__def,axiom,
% 15.61/15.70 bot_bot_fun_a_bool = collect_a(cOMBK_bool_a(fFalse)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_541_bot__fun__def,axiom,
% 15.61/15.70 ! [X_2] :
% 15.61/15.70 ( hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_2))
% 15.61/15.70 <=> hBOOL(bot_bot_bool) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_542_bot__fun__def,axiom,
% 15.61/15.70 ! [X_2] :
% 15.61/15.70 ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_2))
% 15.61/15.70 <=> hBOOL(bot_bot_bool) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_543_bot__fun__def,axiom,
% 15.61/15.70 ! [X_2] :
% 15.61/15.70 ( hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_2))
% 15.61/15.70 <=> hBOOL(bot_bot_bool) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_544_insert__Diff,axiom,
% 15.61/15.70 ! [A_2,A] :
% 15.61/15.70 ( is_fun_a_bool(A)
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))
% 15.61/15.70 => hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))) = A ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_545_insert__Diff,axiom,
% 15.61/15.70 ! [A_2,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))
% 15.61/15.70 => hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))) = A ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_546_insert__Diff,axiom,
% 15.61/15.70 ! [A_2,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))
% 15.61/15.70 => hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))) = A ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_547_insert__Diff,axiom,
% 15.61/15.70 ! [A_2,A] :
% 15.61/15.70 ( is_fun_pname_bool(A)
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))
% 15.61/15.70 => hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool))) = A ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_548_Diff__insert__absorb,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( is_fun_a_bool(A)
% 15.61/15.70 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = A ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_549_Diff__insert__absorb,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = A ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_550_Diff__insert__absorb,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = A ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_551_Diff__insert__absorb,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( is_fun_pname_bool(A)
% 15.61/15.70 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = A ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_552_insert__Diff__single,axiom,
% 15.61/15.70 ! [A_2,A] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_553_insert__Diff__single,axiom,
% 15.61/15.70 ! [A_2,A] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_554_insert__Diff__single,axiom,
% 15.61/15.70 ! [A_2,A] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_555_Diff__insert2,axiom,
% 15.61/15.70 ! [A,A_2,B] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)) = hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))),B) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_556_Diff__insert2,axiom,
% 15.61/15.70 ! [A,A_2,B] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)) = hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))),B) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_557_Diff__insert2,axiom,
% 15.61/15.70 ! [A,A_2,B] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)) = hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))),B) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_558_Diff__insert,axiom,
% 15.61/15.70 ! [A,A_2,B] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)) = hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_559_Diff__insert,axiom,
% 15.61/15.70 ! [A,A_2,B] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)) = hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_560_Diff__insert,axiom,
% 15.61/15.70 ! [A,A_2,B] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)) = hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_561_diff__single__insert,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_562_diff__single__insert,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_563_diff__single__insert,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_564_diff__single__insert,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_565_subset__insert__iff,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))
% 15.61/15.70 <=> ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B)) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_566_subset__insert__iff,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))
% 15.61/15.70 <=> ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B)) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_567_subset__insert__iff,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))
% 15.61/15.70 <=> ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B)) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_568_subset__insert__iff,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))
% 15.61/15.70 <=> ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B)) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_569_finite__Diff2,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))
% 15.61/15.70 <=> hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_570_finite__Diff2,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))
% 15.61/15.70 <=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_571_finite__Diff2,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))
% 15.61/15.70 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_572_insert__Diff1,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))
% 15.61/15.70 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B) = hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_573_insert__Diff1,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))
% 15.61/15.70 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B) = hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_574_insert__Diff1,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))
% 15.61/15.70 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B) = hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_575_insert__Diff1,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))
% 15.61/15.70 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_576_insert__Diff__if,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))
% 15.61/15.70 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B) = hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))
% 15.61/15.70 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_577_insert__Diff__if,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))
% 15.61/15.70 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B) = hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))
% 15.61/15.70 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_578_insert__Diff__if,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))
% 15.61/15.70 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B) = hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))
% 15.61/15.70 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_579_insert__Diff__if,axiom,
% 15.61/15.70 ! [A,X_1,B] :
% 15.61/15.70 ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))
% 15.61/15.70 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))
% 15.61/15.70 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_580_double__diff,axiom,
% 15.61/15.70 ! [C_11,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C_11))
% 15.61/15.70 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C_11),A)) = A ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_581_double__diff,axiom,
% 15.61/15.70 ! [C_11,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C_11))
% 15.61/15.70 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C_11),A)) = A ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_582_double__diff,axiom,
% 15.61/15.70 ! [C_11,A,B] :
% 15.61/15.70 ( is_fun_a_bool(A)
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C_11))
% 15.61/15.70 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C_11),A)) = A ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_583_Diff__mono,axiom,
% 15.61/15.70 ! [D_4,B,A,C_11] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C_11))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,D_4),B))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C_11),D_4))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_584_Diff__mono,axiom,
% 15.61/15.70 ! [D_4,B,A,C_11] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C_11))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,D_4),B))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C_11),D_4))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_585_Diff__mono,axiom,
% 15.61/15.70 ! [D_4,B,A,C_11] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C_11))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,D_4),B))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C_11),D_4))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_586_Diff__subset,axiom,
% 15.61/15.70 ! [A,B] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),A)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_587_Diff__subset,axiom,
% 15.61/15.70 ! [A,B] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),A)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_588_Diff__subset,axiom,
% 15.61/15.70 ! [A,B] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),A)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_589_singleton__inject,axiom,
% 15.61/15.70 ! [A_2,B_3] :
% 15.61/15.70 ( ( is_a(A_2)
% 15.61/15.70 & is_a(B_3) )
% 15.61/15.70 => ( hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool)
% 15.61/15.70 => A_2 = B_3 ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_590_singleton__inject,axiom,
% 15.61/15.70 ! [A_2,B_3] :
% 15.61/15.70 ( hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool)
% 15.61/15.70 => A_2 = B_3 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_591_singleton__inject,axiom,
% 15.61/15.70 ! [A_2,B_3] :
% 15.61/15.70 ( hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool)
% 15.61/15.70 => A_2 = B_3 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_592_singletonE,axiom,
% 15.61/15.70 ! [B_3,A_2] :
% 15.61/15.70 ( ( is_a(B_3)
% 15.61/15.70 & is_a(A_2) )
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))
% 15.61/15.70 => B_3 = A_2 ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_593_singletonE,axiom,
% 15.61/15.70 ! [B_3,A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))
% 15.61/15.70 => B_3 = A_2 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_594_singletonE,axiom,
% 15.61/15.70 ! [B_3,A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))
% 15.61/15.70 => B_3 = A_2 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_595_singletonE,axiom,
% 15.61/15.70 ! [B_3,A_2] :
% 15.61/15.70 ( ( is_pname(B_3)
% 15.61/15.70 & is_pname(A_2) )
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))
% 15.61/15.70 => B_3 = A_2 ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_596_doubleton__eq__iff,axiom,
% 15.61/15.70 ! [A_2,B_3,C_6,D_1] :
% 15.61/15.70 ( ( is_a(A_2)
% 15.61/15.70 & is_a(B_3)
% 15.61/15.70 & is_a(C_6)
% 15.61/15.70 & is_a(D_1) )
% 15.61/15.70 => ( hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool))
% 15.61/15.70 <=> ( ( A_2 = C_6
% 15.61/15.70 & B_3 = D_1 )
% 15.61/15.70 | ( A_2 = D_1
% 15.61/15.70 & B_3 = C_6 ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_597_doubleton__eq__iff,axiom,
% 15.61/15.70 ! [A_2,B_3,C_6,D_1] :
% 15.61/15.70 ( hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool))
% 15.61/15.70 <=> ( ( A_2 = C_6
% 15.61/15.70 & B_3 = D_1 )
% 15.61/15.70 | ( A_2 = D_1
% 15.61/15.70 & B_3 = C_6 ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_598_doubleton__eq__iff,axiom,
% 15.61/15.70 ! [A_2,B_3,C_6,D_1] :
% 15.61/15.70 ( hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool))
% 15.61/15.70 <=> ( ( A_2 = C_6
% 15.61/15.70 & B_3 = D_1 )
% 15.61/15.70 | ( A_2 = D_1
% 15.61/15.70 & B_3 = C_6 ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_599_singleton__iff,axiom,
% 15.61/15.70 ! [B_3,A_2] :
% 15.61/15.70 ( ( is_a(B_3)
% 15.61/15.70 & is_a(A_2) )
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))
% 15.61/15.70 <=> B_3 = A_2 ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_600_singleton__iff,axiom,
% 15.61/15.70 ! [B_3,A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))
% 15.61/15.70 <=> B_3 = A_2 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_601_singleton__iff,axiom,
% 15.61/15.70 ! [B_3,A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))
% 15.61/15.70 <=> B_3 = A_2 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_602_singleton__iff,axiom,
% 15.61/15.70 ! [B_3,A_2] :
% 15.61/15.70 ( ( is_pname(B_3)
% 15.61/15.70 & is_pname(A_2) )
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))
% 15.61/15.70 <=> B_3 = A_2 ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_603_insert__not__empty,axiom,
% 15.61/15.70 ! [A_2,A] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A) != bot_bot_fun_a_bool ).
% 15.61/15.70
% 15.61/15.70 fof(fact_604_insert__not__empty,axiom,
% 15.61/15.70 ! [A_2,A] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A) != bot_bot_fun_nat_bool ).
% 15.61/15.70
% 15.61/15.70 fof(fact_605_insert__not__empty,axiom,
% 15.61/15.70 ! [A_2,A] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A) != bot_bot_fun_int_bool ).
% 15.61/15.70
% 15.61/15.70 fof(fact_606_empty__not__insert,axiom,
% 15.61/15.70 ! [A_2,A] : bot_bot_fun_a_bool != hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_607_empty__not__insert,axiom,
% 15.61/15.70 ! [A_2,A] : bot_bot_fun_nat_bool != hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_608_empty__not__insert,axiom,
% 15.61/15.70 ! [A_2,A] : bot_bot_fun_int_bool != hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_609_subset__empty,axiom,
% 15.61/15.70 ! [A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool))
% 15.61/15.70 <=> A = bot_bot_fun_nat_bool ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_610_subset__empty,axiom,
% 15.61/15.70 ! [A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool))
% 15.61/15.70 <=> A = bot_bot_fun_int_bool ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_611_subset__empty,axiom,
% 15.61/15.70 ! [A] :
% 15.61/15.70 ( is_fun_a_bool(A)
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool))
% 15.61/15.70 <=> A = bot_bot_fun_a_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_612_image__is__empty,axiom,
% 15.61/15.70 ! [F,A] :
% 15.61/15.70 ( image_nat_int(F,A) = bot_bot_fun_int_bool
% 15.61/15.70 <=> A = bot_bot_fun_nat_bool ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_613_image__is__empty,axiom,
% 15.61/15.70 ! [F,A] :
% 15.61/15.70 ( is_fun_pname_bool(A)
% 15.61/15.70 => ( image_pname_a(F,A) = bot_bot_fun_a_bool
% 15.61/15.70 <=> A = bot_bo844097828e_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_614_image__empty,axiom,
% 15.61/15.70 ! [F] : image_nat_int(F,bot_bot_fun_nat_bool) = bot_bot_fun_int_bool ).
% 15.61/15.70
% 15.61/15.70 fof(fact_615_image__empty,axiom,
% 15.61/15.70 ! [F] : image_pname_a(F,bot_bo844097828e_bool) = bot_bot_fun_a_bool ).
% 15.61/15.70
% 15.61/15.70 fof(fact_616_empty__is__image,axiom,
% 15.61/15.70 ! [F,A] :
% 15.61/15.70 ( bot_bot_fun_int_bool = image_nat_int(F,A)
% 15.61/15.70 <=> A = bot_bot_fun_nat_bool ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_617_empty__is__image,axiom,
% 15.61/15.70 ! [F,A] :
% 15.61/15.70 ( is_fun_pname_bool(A)
% 15.61/15.70 => ( bot_bot_fun_a_bool = image_pname_a(F,A)
% 15.61/15.70 <=> A = bot_bo844097828e_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_618_le__bot,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool))
% 15.61/15.70 => A_2 = bot_bot_fun_nat_bool ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_619_le__bot,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool))
% 15.61/15.70 => A_2 = bot_bot_fun_int_bool ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_620_le__bot,axiom,
% 15.61/15.70 ! [A_17] :
% 15.61/15.70 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_17),bot_bot_nat))
% 15.61/15.70 => A_17 = bot_bot_nat ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_621_le__bot,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( is_fun_a_bool(A_2)
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool))
% 15.61/15.70 => A_2 = bot_bot_fun_a_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_622_bot__unique,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool))
% 15.61/15.70 <=> A_2 = bot_bot_fun_nat_bool ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_623_bot__unique,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool))
% 15.61/15.70 <=> A_2 = bot_bot_fun_int_bool ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_624_bot__unique,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_2),bot_bot_nat))
% 15.61/15.70 <=> A_2 = bot_bot_nat ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_625_bot__unique,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( is_fun_a_bool(A_2)
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool))
% 15.61/15.70 <=> A_2 = bot_bot_fun_a_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_626_bot__least,axiom,
% 15.61/15.70 ! [A_2] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_2)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_627_bot__least,axiom,
% 15.61/15.70 ! [A_2] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A_2)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_628_bot__least,axiom,
% 15.61/15.70 ! [A_16] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,bot_bot_nat),A_16)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_629_bot__least,axiom,
% 15.61/15.70 ! [A_2] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_2)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_630_Collect__conv__if,axiom,
% 15.61/15.70 ! [Pa,A_2] :
% 15.61/15.70 ( ( hBOOL(hAPP_a_bool(Pa,A_2))
% 15.61/15.70 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2)),Pa)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_a_bool(Pa,A_2))
% 15.61/15.70 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2)),Pa)) = bot_bot_fun_a_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_631_Collect__conv__if,axiom,
% 15.61/15.70 ! [Pa,A_2] :
% 15.61/15.70 ( ( hBOOL(hAPP_int_bool(Pa,A_2))
% 15.61/15.70 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2)),Pa)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_int_bool(Pa,A_2))
% 15.61/15.70 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2)),Pa)) = bot_bot_fun_int_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_632_Collect__conv__if,axiom,
% 15.61/15.70 ! [Pa,A_2] :
% 15.61/15.70 ( ( hBOOL(hAPP_nat_bool(Pa,A_2))
% 15.61/15.70 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2)),Pa)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_nat_bool(Pa,A_2))
% 15.61/15.70 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2)),Pa)) = bot_bot_fun_nat_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_633_Collect__conv__if2,axiom,
% 15.61/15.70 ! [Pa,A_2] :
% 15.61/15.70 ( ( hBOOL(hAPP_a_bool(Pa,A_2))
% 15.61/15.70 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,A_2)),Pa)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_a_bool(Pa,A_2))
% 15.61/15.70 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,A_2)),Pa)) = bot_bot_fun_a_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_634_Collect__conv__if2,axiom,
% 15.61/15.70 ! [Pa,A_2] :
% 15.61/15.70 ( ( hBOOL(hAPP_int_bool(Pa,A_2))
% 15.61/15.70 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(fequal_int,A_2)),Pa)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_int_bool(Pa,A_2))
% 15.61/15.70 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(fequal_int,A_2)),Pa)) = bot_bot_fun_int_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_635_Collect__conv__if2,axiom,
% 15.61/15.70 ! [Pa,A_2] :
% 15.61/15.70 ( ( hBOOL(hAPP_nat_bool(Pa,A_2))
% 15.61/15.70 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,A_2)),Pa)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_nat_bool(Pa,A_2))
% 15.61/15.70 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,A_2)),Pa)) = bot_bot_fun_nat_bool ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_636_singleton__conv,axiom,
% 15.61/15.70 ! [A_2] : collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_637_singleton__conv,axiom,
% 15.61/15.70 ! [A_2] : collect_int(hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_638_singleton__conv,axiom,
% 15.61/15.70 ! [A_2] : collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_639_singleton__conv2,axiom,
% 15.61/15.70 ! [A_2] : collect_a(hAPP_a_fun_a_bool(fequal_a,A_2)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_640_singleton__conv2,axiom,
% 15.61/15.70 ! [A_2] : collect_int(hAPP_i1948725293t_bool(fequal_int,A_2)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_641_singleton__conv2,axiom,
% 15.61/15.70 ! [A_2] : collect_nat(hAPP_n1699378549t_bool(fequal_nat,A_2)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_642_card__Suc__Diff1,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) = hAPP_fun_a_bool_nat(finite_card_a,A) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_643_card__Suc__Diff1,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) = hAPP_f957591787ol_nat(finite_card_int,A) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_644_card__Suc__Diff1,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) = hAPP_f22106695ol_nat(finite_card_nat,A) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_645_card__Suc__Diff1,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) = hAPP_f921600141ol_nat(finite_card_pname,A) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_646_card__insert,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_647_card__insert,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_648_card__insert,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_649_card__insert,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_650_card__Diff1__le,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_651_card__Diff1__le,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))),hAPP_f957591787ol_nat(finite_card_int,A))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_652_card__Diff1__le,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_653_card__Diff1__le,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_654_finite__Diff__insert,axiom,
% 15.61/15.70 ! [A,A_2,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))))
% 15.61/15.70 <=> hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_655_finite__Diff__insert,axiom,
% 15.61/15.70 ! [A,A_2,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))))
% 15.61/15.70 <=> hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_656_finite__Diff__insert,axiom,
% 15.61/15.70 ! [A,A_2,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))))
% 15.61/15.70 <=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_657_finite__Diff__insert,axiom,
% 15.61/15.70 ! [A,A_2,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))))
% 15.61/15.70 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_658_image__diff__subset,axiom,
% 15.61/15.70 ! [F,A,B] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,image_nat_int(F,A)),image_nat_int(F,B))),image_nat_int(F,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_659_image__diff__subset,axiom,
% 15.61/15.70 ! [F,A,B] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,image_pname_a(F,A)),image_pname_a(F,B))),image_pname_a(F,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_660_subset__singletonD,axiom,
% 15.61/15.70 ! [A,X_1] :
% 15.61/15.70 ( is_fun_a_bool(A)
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))
% 15.61/15.70 => ( A = bot_bot_fun_a_bool
% 15.61/15.70 | A = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_661_subset__singletonD,axiom,
% 15.61/15.70 ! [A,X_1] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))
% 15.61/15.70 => ( A = bot_bot_fun_nat_bool
% 15.61/15.70 | A = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_662_subset__singletonD,axiom,
% 15.61/15.70 ! [A,X_1] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))
% 15.61/15.70 => ( A = bot_bot_fun_int_bool
% 15.61/15.70 | A = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_663_nat__case__Suc,axiom,
% 15.61/15.70 ! [F1,F2,Nat_3] : hAPP_nat_nat(nat_case_nat(F1,F2),hAPP_nat_nat(suc,Nat_3)) = hAPP_nat_nat(F2,Nat_3) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_664_nat__case__Suc,axiom,
% 15.61/15.70 ! [F1,F2,Nat_3] :
% 15.61/15.70 ( hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),hAPP_nat_nat(suc,Nat_3)))
% 15.61/15.70 <=> hBOOL(hAPP_nat_bool(F2,Nat_3)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_665_image__constant,axiom,
% 15.61/15.70 ! [C_6,X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => image_nat_int(cOMBK_int_nat(C_6),A) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),bot_bot_fun_int_bool) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_666_image__constant,axiom,
% 15.61/15.70 ! [C_6,X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => image_pname_a(cOMBK_a_pname(C_6),A) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),bot_bot_fun_a_bool) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_667_image__constant__conv,axiom,
% 15.61/15.70 ! [C_6,A] :
% 15.61/15.70 ( ( A = bot_bot_fun_nat_bool
% 15.61/15.70 => image_nat_int(cOMBK_int_nat(C_6),A) = bot_bot_fun_int_bool )
% 15.61/15.70 & ( A != bot_bot_fun_nat_bool
% 15.61/15.70 => image_nat_int(cOMBK_int_nat(C_6),A) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),bot_bot_fun_int_bool) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_668_image__constant__conv,axiom,
% 15.61/15.70 ! [C_6,A] :
% 15.61/15.70 ( is_fun_pname_bool(A)
% 15.61/15.70 => ( ( A = bot_bo844097828e_bool
% 15.61/15.70 => image_pname_a(cOMBK_a_pname(C_6),A) = bot_bot_fun_a_bool )
% 15.61/15.70 & ( A != bot_bo844097828e_bool
% 15.61/15.70 => image_pname_a(cOMBK_a_pname(C_6),A) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),bot_bot_fun_a_bool) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_669_diff__eq__diff__eq,axiom,
% 15.61/15.70 ! [A_2,B_3,C_6,D_1] :
% 15.61/15.70 ( hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1)
% 15.61/15.70 => ( A_2 = B_3
% 15.61/15.70 <=> C_6 = D_1 ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_670_card__Diff__subset,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))
% 15.61/15.70 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_671_card__Diff__subset,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))
% 15.61/15.70 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_672_card__Diff__subset,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))
% 15.61/15.70 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_673_card__Diff__subset,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))
% 15.61/15.70 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_674_diff__card__le__card__Diff,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))
% 15.61/15.70 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B))),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_675_diff__card__le__card__Diff,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))
% 15.61/15.70 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_676_diff__card__le__card__Diff,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))
% 15.61/15.70 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_677_diff__card__le__card__Diff,axiom,
% 15.61/15.70 ! [A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 15.61/15.70 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_678_finite__subset__induct,axiom,
% 15.61/15.70 ! [Pa,A,F_1] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))
% 15.61/15.70 => ( ! [A_14,F_2] :
% 15.61/15.70 ( ( is_a(A_14)
% 15.61/15.70 & is_fun_a_bool(F_2) )
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),F_2))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,F_2))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),F_2))) ) ) ) ) )
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_679_finite__subset__induct,axiom,
% 15.61/15.70 ! [Pa,A,F_1] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F_1),A))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))
% 15.61/15.70 => ( ! [A_14,F_2] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(Pa,F_2))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),F_2))) ) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(Pa,F_1)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_680_finite__subset__induct,axiom,
% 15.61/15.70 ! [Pa,A,F_1] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))
% 15.61/15.70 => ( ! [A_14,F_2] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(Pa,F_2))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),F_2))) ) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(Pa,F_1)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_681_finite__subset__induct,axiom,
% 15.61/15.70 ! [Pa,A,F_1] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))
% 15.61/15.70 => ( ! [A_14,F_2] :
% 15.61/15.70 ( ( is_pname(A_14)
% 15.61/15.70 & is_fun_pname_bool(F_2) )
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(Pa,F_2))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),F_2))) ) ) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(Pa,F_1)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_682_assms_I2_J,axiom,
% 15.61/15.70 ! [Pn,G] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(p(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,Pn)),G)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(the_com(body(Pn)))),bot_bot_fun_a_bool)))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,Pn)),bot_bot_fun_a_bool))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_683_finite__empty__induct,axiom,
% 15.61/15.70 ! [Pa,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,A))
% 15.61/15.70 => ( ! [A_14,A_15] :
% 15.61/15.70 ( ( is_a(A_14)
% 15.61/15.70 & is_fun_a_bool(A_15) )
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_15))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),A_15))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,A_15))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A_15),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),bot_bot_fun_a_bool)))) ) ) ) )
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_684_finite__empty__induct,axiom,
% 15.61/15.70 ! [Pa,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(Pa,A))
% 15.61/15.70 => ( ! [A_14,A_15] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_15))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),A_15))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(Pa,A_15))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A_15),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),bot_bot_fun_int_bool)))) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_685_finite__empty__induct,axiom,
% 15.61/15.70 ! [Pa,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(Pa,A))
% 15.61/15.70 => ( ! [A_14,A_15] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_15))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),A_15))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(Pa,A_15))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A_15),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),bot_bot_fun_nat_bool)))) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_686_finite__empty__induct,axiom,
% 15.61/15.70 ! [Pa,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(Pa,A))
% 15.61/15.70 => ( ! [A_14,A_15] :
% 15.61/15.70 ( ( is_pname(A_14)
% 15.61/15.70 & is_fun_pname_bool(A_15) )
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_15))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),A_15))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(Pa,A_15))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_15),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),bot_bo844097828e_bool)))) ) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_687_finite__induct,axiom,
% 15.61/15.70 ! [Pa,F_1] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))
% 15.61/15.70 => ( ! [X_2,F_2] :
% 15.61/15.70 ( ( is_a(X_2)
% 15.61/15.70 & is_fun_a_bool(F_2) )
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2))
% 15.61/15.70 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),F_2))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,F_2))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),F_2))) ) ) ) )
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_688_finite__induct,axiom,
% 15.61/15.70 ! [Pa,F_1] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))
% 15.61/15.70 => ( ! [X_2,F_2] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(Pa,F_2))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),F_2))) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(Pa,F_1)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_689_finite__induct,axiom,
% 15.61/15.70 ! [Pa,F_1] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))
% 15.61/15.70 => ( ! [X_2,F_2] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(Pa,F_2))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),F_2))) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(Pa,F_1)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_690_finite__induct,axiom,
% 15.61/15.70 ! [Pa,F_1] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))
% 15.61/15.70 => ( ! [X_2,F_2] :
% 15.61/15.70 ( ( is_pname(X_2)
% 15.61/15.70 & is_fun_pname_bool(F_2) )
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),F_2))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(Pa,F_2))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),F_2))) ) ) ) )
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(Pa,F_1)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_691_finite_Osimps,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( is_fun_a_bool(A_2)
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2))
% 15.61/15.70 <=> ( A_2 = bot_bot_fun_a_bool
% 15.61/15.70 | ? [A_15,A_14] :
% 15.61/15.70 ( is_fun_a_bool(A_15)
% 15.61/15.70 & is_a(A_14)
% 15.61/15.70 & A_2 = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),A_15)
% 15.61/15.70 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_15)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_692_finite_Osimps,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_2))
% 15.61/15.70 <=> ( A_2 = bot_bot_fun_int_bool
% 15.61/15.70 | ? [A_15,A_14] :
% 15.61/15.70 ( A_2 = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),A_15)
% 15.61/15.70 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_15)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_693_finite_Osimps,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_2))
% 15.61/15.70 <=> ( A_2 = bot_bot_fun_nat_bool
% 15.61/15.70 | ? [A_15,A_14] :
% 15.61/15.70 ( A_2 = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),A_15)
% 15.61/15.70 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_15)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_694_finite_Osimps,axiom,
% 15.61/15.70 ! [A_2] :
% 15.61/15.70 ( is_fun_pname_bool(A_2)
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2))
% 15.61/15.70 <=> ( A_2 = bot_bo844097828e_bool
% 15.61/15.70 | ? [A_15,A_14] :
% 15.61/15.70 ( is_fun_pname_bool(A_15)
% 15.61/15.70 & is_pname(A_14)
% 15.61/15.70 & A_2 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),A_15)
% 15.61/15.70 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_15)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_695_finite__less__ub,axiom,
% 15.61/15.70 ! [U,F] :
% 15.61/15.70 ( ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),hAPP_nat_nat(F,N_1)))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_eq_nat,F)),U)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_696_the__elem__eq,axiom,
% 15.61/15.70 ! [X_1] :
% 15.61/15.70 ( is_a(X_1)
% 15.61/15.70 => hAPP_fun_a_bool_a(the_elem_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = X_1 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_697_the__elem__eq,axiom,
% 15.61/15.70 ! [X_1] : hAPP_f22106695ol_nat(the_elem_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = X_1 ).
% 15.61/15.70
% 15.61/15.70 fof(fact_698_the__elem__eq,axiom,
% 15.61/15.70 ! [X_1] : hAPP_f1594865479ol_int(the_elem_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = X_1 ).
% 15.61/15.70
% 15.61/15.70 fof(fact_699_nonempty__iff,axiom,
% 15.61/15.70 ! [A] :
% 15.61/15.70 ( is_fun_a_bool(A)
% 15.61/15.70 => ( A != bot_bot_fun_a_bool
% 15.61/15.70 <=> ? [X_2,B_15] :
% 15.61/15.70 ( is_a(X_2)
% 15.61/15.70 & is_fun_a_bool(B_15)
% 15.61/15.70 & A = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),B_15)
% 15.61/15.70 & ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B_15)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_700_nonempty__iff,axiom,
% 15.61/15.70 ! [A] :
% 15.61/15.70 ( A != bot_bot_fun_int_bool
% 15.61/15.70 <=> ? [X_2,B_15] :
% 15.61/15.70 ( A = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),B_15)
% 15.61/15.70 & ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),B_15)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_701_nonempty__iff,axiom,
% 15.61/15.70 ! [A] :
% 15.61/15.70 ( A != bot_bot_fun_nat_bool
% 15.61/15.70 <=> ? [X_2,B_15] :
% 15.61/15.70 ( A = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),B_15)
% 15.61/15.70 & ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_15)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_702_nonempty__iff,axiom,
% 15.61/15.70 ! [A] :
% 15.61/15.70 ( is_fun_pname_bool(A)
% 15.61/15.70 => ( A != bot_bo844097828e_bool
% 15.61/15.70 <=> ? [X_2,B_15] :
% 15.61/15.70 ( is_pname(X_2)
% 15.61/15.70 & is_fun_pname_bool(B_15)
% 15.61/15.70 & A = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),B_15)
% 15.61/15.70 & ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B_15)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_703_assms_I4_J,axiom,
% 15.61/15.70 ! [Pn] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Pn),u))
% 15.61/15.70 => hBOOL(wt(the_com(body(Pn)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_704_DiffE,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))
% 15.61/15.70 => ~ ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_705_DiffE,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))
% 15.61/15.70 => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_706_DiffE,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))
% 15.61/15.70 => ~ ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_707_DiffE,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))
% 15.61/15.70 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_708_DiffI,axiom,
% 15.61/15.70 ! [B,C_6,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_709_DiffI,axiom,
% 15.61/15.70 ! [B,C_6,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_710_DiffI,axiom,
% 15.61/15.70 ! [B,C_6,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_711_DiffI,axiom,
% 15.61/15.70 ! [B,C_6,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_712_DiffD2,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))
% 15.61/15.70 => ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_713_DiffD2,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))
% 15.61/15.70 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_714_DiffD2,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))
% 15.61/15.70 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_715_DiffD2,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))
% 15.61/15.70 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_716_DiffD1,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_717_DiffD1,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_718_DiffD1,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_719_DiffD1,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_720_Diff__iff,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))
% 15.61/15.70 <=> ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))
% 15.61/15.70 & ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_721_Diff__iff,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))
% 15.61/15.70 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))
% 15.61/15.70 & ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_722_Diff__iff,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))
% 15.61/15.70 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))
% 15.61/15.70 & ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_723_Diff__iff,axiom,
% 15.61/15.70 ! [C_6,A,B] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))
% 15.61/15.70 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))
% 15.61/15.70 & ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_724_set__diff__eq,axiom,
% 15.61/15.70 ! [A,B] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),cOMBB_bool_bool_int(fNot,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B)))) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_725_set__diff__eq,axiom,
% 15.61/15.70 ! [A,B] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B)))) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_726_set__diff__eq,axiom,
% 15.61/15.70 ! [A,B] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A)),cOMBB_bool_bool_a(fNot,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B)))) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_727_set__diff__eq,axiom,
% 15.61/15.70 ! [A,B] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),cOMBB_647938656_pname(fNot,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B)))) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_728_folding__one_Oinsert__remove,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( is_a(X_1)
% 15.61/15.70 => ( hBOOL(finite_folding_one_a(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( ( hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = bot_bot_fun_a_bool
% 15.61/15.70 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = X_1 )
% 15.61/15.70 & ( hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) != bot_bot_fun_a_bool
% 15.61/15.70 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_729_folding__one_Oinsert__remove,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite1626084323ne_int(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( ( hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = bot_bot_fun_int_bool
% 15.61/15.70 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = X_1 )
% 15.61/15.70 & ( hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) != bot_bot_fun_int_bool
% 15.61/15.70 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_730_folding__one_Oinsert__remove,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite988810631ne_nat(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( ( hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = bot_bot_fun_nat_bool
% 15.61/15.70 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = X_1 )
% 15.61/15.70 & ( hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) != bot_bot_fun_nat_bool
% 15.61/15.70 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_731_folding__one_Oinsert__remove,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( is_pname(X_1)
% 15.61/15.70 => ( hBOOL(finite1282449217_pname(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
% 15.61/15.70 => hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = X_1 )
% 15.61/15.70 & ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) != bot_bo844097828e_bool
% 15.61/15.70 => hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_732_folding__one_Oremove,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( is_a(X_1)
% 15.61/15.70 => ( hBOOL(finite_folding_one_a(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => ( ( hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = bot_bot_fun_a_bool
% 15.61/15.70 => hAPP_fun_a_bool_a(F_1,A) = X_1 )
% 15.61/15.70 & ( hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) != bot_bot_fun_a_bool
% 15.61/15.70 => hAPP_fun_a_bool_a(F_1,A) = hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_733_folding__one_Oremove,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite1626084323ne_int(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => ( ( hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = bot_bot_fun_int_bool
% 15.61/15.70 => hAPP_f1594865479ol_int(F_1,A) = X_1 )
% 15.61/15.70 & ( hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) != bot_bot_fun_int_bool
% 15.61/15.70 => hAPP_f1594865479ol_int(F_1,A) = hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_734_folding__one_Oremove,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite988810631ne_nat(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => ( ( hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = bot_bot_fun_nat_bool
% 15.61/15.70 => hAPP_f22106695ol_nat(F_1,A) = X_1 )
% 15.61/15.70 & ( hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) != bot_bot_fun_nat_bool
% 15.61/15.70 => hAPP_f22106695ol_nat(F_1,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_735_folding__one_Oremove,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( is_pname(X_1)
% 15.61/15.70 => ( hBOOL(finite1282449217_pname(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
% 15.61/15.70 => hAPP_f1297739591_pname(F_1,A) = X_1 )
% 15.61/15.70 & ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) != bot_bo844097828e_bool
% 15.61/15.70 => hAPP_f1297739591_pname(F_1,A) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_736_card__Diff__singleton__if,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))) = hAPP_fun_a_bool_nat(finite_card_a,A) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_737_card__Diff__singleton__if,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))) = hAPP_f957591787ol_nat(finite_card_int,A) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_738_card__Diff__singleton__if,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))) = hAPP_f22106695ol_nat(finite_card_nat,A) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_739_card__Diff__singleton__if,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat) )
% 15.61/15.70 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))) = hAPP_f921600141ol_nat(finite_card_pname,A) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_740_card__Diff__singleton,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_741_card__Diff__singleton,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_742_card__Diff__singleton,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_743_card__Diff__singleton,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_744_one__reorient,axiom,
% 15.61/15.70 ! [X_1] :
% 15.61/15.70 ( one_one_int = X_1
% 15.61/15.70 <=> X_1 = one_one_int ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_745_one__reorient,axiom,
% 15.61/15.70 ! [X_1] :
% 15.61/15.70 ( one_one_nat = X_1
% 15.61/15.70 <=> X_1 = one_one_nat ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_746_diff__Suc__1,axiom,
% 15.61/15.70 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N)),one_one_nat) = N ).
% 15.61/15.70
% 15.61/15.70 fof(fact_747_diff__Suc__eq__diff__pred,axiom,
% 15.61/15.70 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_748_folding__one_Osingleton,axiom,
% 15.61/15.70 ! [X_1,F,F_1] :
% 15.61/15.70 ( is_a(X_1)
% 15.61/15.70 => ( hBOOL(finite_folding_one_a(F,F_1))
% 15.61/15.70 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = X_1 ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_749_folding__one_Osingleton,axiom,
% 15.61/15.70 ! [X_1,F,F_1] :
% 15.61/15.70 ( hBOOL(finite988810631ne_nat(F,F_1))
% 15.61/15.70 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = X_1 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_750_folding__one_Osingleton,axiom,
% 15.61/15.70 ! [X_1,F,F_1] :
% 15.61/15.70 ( hBOOL(finite1626084323ne_int(F,F_1))
% 15.61/15.70 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = X_1 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_751_card__Diff__insert,axiom,
% 15.61/15.70 ! [B,A_2,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))
% 15.61/15.70 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))),one_one_nat) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_752_card__Diff__insert,axiom,
% 15.61/15.70 ! [B,A_2,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))
% 15.61/15.70 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))),one_one_nat) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_753_card__Diff__insert,axiom,
% 15.61/15.70 ! [B,A_2,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))
% 15.61/15.70 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))),one_one_nat) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_754_card__Diff__insert,axiom,
% 15.61/15.70 ! [B,A_2,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))
% 15.61/15.70 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))),one_one_nat) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_755_folding__one_Oinsert,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( is_fun_a_bool(A)
% 15.61/15.70 => ( hBOOL(finite_folding_one_a(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => ( A != bot_bot_fun_a_bool
% 15.61/15.70 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,A)) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_756_folding__one_Oinsert,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite1626084323ne_int(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => ( A != bot_bot_fun_int_bool
% 15.61/15.70 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,A)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_757_folding__one_Oinsert,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite988810631ne_nat(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => ( A != bot_bot_fun_nat_bool
% 15.61/15.70 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,A)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_758_folding__one_Oinsert,axiom,
% 15.61/15.70 ! [X_1,A,F,F_1] :
% 15.61/15.70 ( is_fun_pname_bool(A)
% 15.61/15.70 => ( hBOOL(finite1282449217_pname(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => ( A != bot_bo844097828e_bool
% 15.61/15.70 => hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,A)) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_759_folding__one_Oclosed,axiom,
% 15.61/15.70 ! [A,F,F_1] :
% 15.61/15.70 ( is_fun_a_bool(A)
% 15.61/15.70 => ( hBOOL(finite_folding_one_a(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( A != bot_bot_fun_a_bool
% 15.61/15.70 => ( ! [X_2,Y_2] :
% 15.61/15.70 ( ( is_a(X_2)
% 15.61/15.70 & is_a(Y_2) )
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_a_a(hAPP_a_fun_a_a(F,X_2),Y_2)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_2),bot_bot_fun_a_bool)))) )
% 15.61/15.70 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_fun_a_bool_a(F_1,A)),A)) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_760_folding__one_Oclosed,axiom,
% 15.61/15.70 ! [A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite1626084323ne_int(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( A != bot_bot_fun_int_bool
% 15.61/15.70 => ( ! [X_2,Y_2] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(F,X_2),Y_2)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,Y_2),bot_bot_fun_int_bool))))
% 15.61/15.70 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_f1594865479ol_int(F_1,A)),A)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_761_folding__one_Oclosed,axiom,
% 15.61/15.70 ! [A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite988810631ne_nat(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( A != bot_bot_fun_nat_bool
% 15.61/15.70 => ( ! [X_2,Y_2] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_2),Y_2)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,Y_2),bot_bot_fun_nat_bool))))
% 15.61/15.70 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_f22106695ol_nat(F_1,A)),A)) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_762_folding__one_Oclosed,axiom,
% 15.61/15.70 ! [A,F,F_1] :
% 15.61/15.70 ( is_fun_pname_bool(A)
% 15.61/15.70 => ( hBOOL(finite1282449217_pname(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( A != bot_bo844097828e_bool
% 15.61/15.70 => ( ! [X_2,Y_2] :
% 15.61/15.70 ( ( is_pname(X_2)
% 15.61/15.70 & is_pname(Y_2) )
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(F,X_2),Y_2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,Y_2),bot_bo844097828e_bool)))) )
% 15.61/15.70 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(F_1,A)),A)) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_763_card_Oremove,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))
% 15.61/15.70 => hAPP_fun_a_bool_nat(finite_card_a,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_764_card_Oremove,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))
% 15.61/15.70 => hAPP_f957591787ol_nat(finite_card_int,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_765_card_Oremove,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.70 => hAPP_f22106695ol_nat(finite_card_nat,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_766_card_Oremove,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
% 15.61/15.70 => hAPP_f921600141ol_nat(finite_card_pname,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_767_card_Oinsert__remove,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.70 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_768_card_Oinsert__remove,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_769_card_Oinsert__remove,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_770_card_Oinsert__remove,axiom,
% 15.61/15.70 ! [X_1,A] :
% 15.61/15.70 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_771_folding__one__idem_Osubset__idem,axiom,
% 15.61/15.70 ! [B,A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite1432773856em_int(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.70 => ( B != bot_bot_fun_int_bool
% 15.61/15.70 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))
% 15.61/15.70 => hAPP_int_int(hAPP_int_fun_int_int(F,hAPP_f1594865479ol_int(F_1,B)),hAPP_f1594865479ol_int(F_1,A)) = hAPP_f1594865479ol_int(F_1,A) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_772_folding__one__idem_Osubset__idem,axiom,
% 15.61/15.70 ! [B,A,F,F_1] :
% 15.61/15.70 ( hBOOL(finite795500164em_nat(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.70 => ( B != bot_bot_fun_nat_bool
% 15.61/15.70 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))
% 15.61/15.70 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_f22106695ol_nat(F_1,B)),hAPP_f22106695ol_nat(F_1,A)) = hAPP_f22106695ol_nat(F_1,A) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_773_folding__one__idem_Osubset__idem,axiom,
% 15.61/15.70 ! [B,A,F,F_1] :
% 15.61/15.70 ( is_fun_pname_bool(B)
% 15.61/15.70 => ( hBOOL(finite89670078_pname(F,F_1))
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.70 => ( B != bot_bo844097828e_bool
% 15.61/15.70 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))
% 15.61/15.70 => hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(F_1,B)),hAPP_f1297739591_pname(F_1,A)) = hAPP_f1297739591_pname(F_1,A) ) ) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_774_folding__one__idem_Osubset__idem,axiom,
% 15.61/15.70 ! [B,A,F,F_1] :
% 15.61/15.70 ( is_fun_a_bool(B)
% 15.61/15.71 => ( hBOOL(finite1819937229idem_a(F,F_1))
% 15.61/15.71 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.71 => ( B != bot_bot_fun_a_bool
% 15.61/15.71 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))
% 15.61/15.71 => hAPP_a_a(hAPP_a_fun_a_a(F,hAPP_fun_a_bool_a(F_1,B)),hAPP_fun_a_bool_a(F_1,A)) = hAPP_fun_a_bool_a(F_1,A) ) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_775_folding__one__idem_Oinsert__idem,axiom,
% 15.61/15.71 ! [X_1,A,F,F_1] :
% 15.61/15.71 ( is_fun_a_bool(A)
% 15.61/15.71 => ( hBOOL(finite1819937229idem_a(F,F_1))
% 15.61/15.71 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))
% 15.61/15.71 => ( A != bot_bot_fun_a_bool
% 15.61/15.71 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,A)) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_776_folding__one__idem_Oinsert__idem,axiom,
% 15.61/15.71 ! [X_1,A,F,F_1] :
% 15.61/15.71 ( hBOOL(finite1432773856em_int(F,F_1))
% 15.61/15.71 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))
% 15.61/15.71 => ( A != bot_bot_fun_int_bool
% 15.61/15.71 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,A)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_777_folding__one__idem_Oinsert__idem,axiom,
% 15.61/15.71 ! [X_1,A,F,F_1] :
% 15.61/15.71 ( hBOOL(finite795500164em_nat(F,F_1))
% 15.61/15.71 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.71 => ( A != bot_bot_fun_nat_bool
% 15.61/15.71 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,A)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_778_folding__one__idem_Oinsert__idem,axiom,
% 15.61/15.71 ! [X_1,A,F,F_1] :
% 15.61/15.71 ( is_fun_pname_bool(A)
% 15.61/15.71 => ( hBOOL(finite89670078_pname(F,F_1))
% 15.61/15.71 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 15.61/15.71 => ( A != bot_bo844097828e_bool
% 15.61/15.71 => hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,A)) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_779_finite__ne__induct,axiom,
% 15.61/15.71 ! [Pa,F_1] :
% 15.61/15.71 ( is_fun_a_bool(F_1)
% 15.61/15.71 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 15.61/15.71 => ( F_1 != bot_bot_fun_a_bool
% 15.61/15.71 => ( ! [X_2] :
% 15.61/15.71 ( is_a(X_2)
% 15.61/15.71 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),bot_bot_fun_a_bool))) )
% 15.61/15.71 => ( ! [X_2,F_2] :
% 15.61/15.71 ( ( is_a(X_2)
% 15.61/15.71 & is_fun_a_bool(F_2) )
% 15.61/15.71 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2))
% 15.61/15.71 => ( F_2 != bot_bot_fun_a_bool
% 15.61/15.71 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),F_2))
% 15.61/15.71 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,F_2))
% 15.61/15.71 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),F_2))) ) ) ) ) )
% 15.61/15.71 => hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)) ) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_780_finite__ne__induct,axiom,
% 15.61/15.71 ! [Pa,F_1] :
% 15.61/15.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))
% 15.61/15.71 => ( F_1 != bot_bot_fun_int_bool
% 15.61/15.71 => ( ! [X_2] : hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),bot_bot_fun_int_bool)))
% 15.61/15.71 => ( ! [X_2,F_2] :
% 15.61/15.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2))
% 15.61/15.71 => ( F_2 != bot_bot_fun_int_bool
% 15.61/15.71 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),F_2))
% 15.61/15.71 => ( hBOOL(hAPP_f448129468l_bool(Pa,F_2))
% 15.61/15.71 => hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),F_2))) ) ) ) )
% 15.61/15.71 => hBOOL(hAPP_f448129468l_bool(Pa,F_1)) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_781_finite__ne__induct,axiom,
% 15.61/15.71 ! [Pa,F_1] :
% 15.61/15.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 15.61/15.71 => ( F_1 != bot_bot_fun_nat_bool
% 15.61/15.71 => ( ! [X_2] : hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),bot_bot_fun_nat_bool)))
% 15.61/15.71 => ( ! [X_2,F_2] :
% 15.61/15.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2))
% 15.61/15.71 => ( F_2 != bot_bot_fun_nat_bool
% 15.61/15.71 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),F_2))
% 15.61/15.71 => ( hBOOL(hAPP_f54304608l_bool(Pa,F_2))
% 15.61/15.71 => hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),F_2))) ) ) ) )
% 15.61/15.71 => hBOOL(hAPP_f54304608l_bool(Pa,F_1)) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_782_finite__ne__induct,axiom,
% 15.61/15.71 ! [Pa,F_1] :
% 15.61/15.71 ( is_fun_pname_bool(F_1)
% 15.61/15.71 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 15.61/15.71 => ( F_1 != bot_bo844097828e_bool
% 15.61/15.71 => ( ! [X_2] :
% 15.61/15.71 ( is_pname(X_2)
% 15.61/15.71 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),bot_bo844097828e_bool))) )
% 15.61/15.71 => ( ! [X_2,F_2] :
% 15.61/15.71 ( ( is_pname(X_2)
% 15.61/15.71 & is_fun_pname_bool(F_2) )
% 15.61/15.71 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2))
% 15.61/15.71 => ( F_2 != bot_bo844097828e_bool
% 15.61/15.71 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),F_2))
% 15.61/15.71 => ( hBOOL(hAPP_f1664156314l_bool(Pa,F_2))
% 15.61/15.71 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),F_2))) ) ) ) ) )
% 15.61/15.71 => hBOOL(hAPP_f1664156314l_bool(Pa,F_1)) ) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_783_the__elem__def,axiom,
% 15.61/15.71 ! [X_3] : hAPP_fun_a_bool_a(the_elem_a,X_3) = hAPP_fun_a_bool_a(the_a,cOMBB_1273333599bool_a(hAPP_f1631501043l_bool(fequal_fun_a_bool,X_3),hAPP_f1038053735a_bool(cOMBC_394484100a_bool(insert_a),bot_bot_fun_a_bool))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_784_the__elem__def,axiom,
% 15.61/15.71 ! [X_3] : hAPP_f22106695ol_nat(the_elem_nat,X_3) = hAPP_f22106695ol_nat(the_nat,cOMBB_955900739ol_nat(hAPP_f103356543l_bool(fequal_fun_nat_bool,X_3),hAPP_f1570313510t_bool(cOMBC_178881787t_bool(insert_nat),bot_bot_fun_nat_bool))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_785_the__elem__def,axiom,
% 15.61/15.71 ! [X_3] : hAPP_f1594865479ol_int(the_elem_int,X_3) = hAPP_f1594865479ol_int(the_int,cOMBB_1418110531ol_int(hAPP_f284875647l_bool(fequal_fun_int_bool,X_3),hAPP_f1048215610t_bool(cOMBC_1683390479t_bool(insert_int),bot_bot_fun_int_bool))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_786_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 15.61/15.71 ! [A_13,B_14,C_10] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),B_14)),C_10) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_14),C_10)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_787_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 15.61/15.71 ! [A_13,B_14,C_10] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),B_14)),C_10) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_14),C_10)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_788_add__left__cancel,axiom,
% 15.61/15.71 ! [A_2,B_3,C_6] :
% 15.61/15.71 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_3) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_6)
% 15.61/15.71 <=> B_3 = C_6 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_789_add__left__cancel,axiom,
% 15.61/15.71 ! [A_2,B_3,C_6] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_6)
% 15.61/15.71 <=> B_3 = C_6 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_790_add__right__cancel,axiom,
% 15.61/15.71 ! [B_3,A_2,C_6] :
% 15.61/15.71 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),A_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),A_2)
% 15.61/15.71 <=> B_3 = C_6 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_791_add__right__cancel,axiom,
% 15.61/15.71 ! [B_3,A_2,C_6] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),A_2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),A_2)
% 15.61/15.71 <=> B_3 = C_6 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_792_add__left__imp__eq,axiom,
% 15.61/15.71 ! [A_12,B_13,C_9] :
% 15.61/15.71 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_12),B_13) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_12),C_9)
% 15.61/15.71 => B_13 = C_9 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_793_add__left__imp__eq,axiom,
% 15.61/15.71 ! [A_12,B_13,C_9] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),B_13) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),C_9)
% 15.61/15.71 => B_13 = C_9 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_794_add__imp__eq,axiom,
% 15.61/15.71 ! [A_11,B_12,C_8] :
% 15.61/15.71 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_11),B_12) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_11),C_8)
% 15.61/15.71 => B_12 = C_8 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_795_add__imp__eq,axiom,
% 15.61/15.71 ! [A_11,B_12,C_8] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),B_12) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),C_8)
% 15.61/15.71 => B_12 = C_8 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_796_add__right__imp__eq,axiom,
% 15.61/15.71 ! [B_11,A_10,C_7] :
% 15.61/15.71 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_11),A_10) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_7),A_10)
% 15.61/15.71 => B_11 = C_7 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_797_add__right__imp__eq,axiom,
% 15.61/15.71 ! [B_11,A_10,C_7] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_11),A_10) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_7),A_10)
% 15.61/15.71 => B_11 = C_7 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_798_nat__add__commute,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_799_nat__add__left__commute,axiom,
% 15.61/15.71 ! [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)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_800_nat__add__assoc,axiom,
% 15.61/15.71 ! [M_1,N,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_1),N)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_801_nat__add__left__cancel,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)
% 15.61/15.71 <=> M = Na ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_802_nat__add__right__cancel,axiom,
% 15.61/15.71 ! [M,K,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),K)
% 15.61/15.71 <=> M = Na ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_803_add__le__cancel__right,axiom,
% 15.61/15.71 ! [A_2,C_6,B_3] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),C_6)))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_2),B_3)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_804_add__le__cancel__right,axiom,
% 15.61/15.71 ! [A_2,C_6,B_3] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),C_6)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_2),B_3)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_805_add__le__cancel__left,axiom,
% 15.61/15.71 ! [C_6,A_2,B_3] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),A_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),B_3)))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_2),B_3)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_806_add__le__cancel__left,axiom,
% 15.61/15.71 ! [C_6,A_2,B_3] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),A_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),B_3)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_2),B_3)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_807_add__right__mono,axiom,
% 15.61/15.71 ! [C_5,A_9,B_10] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_9),B_10))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_9),C_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_10),C_5))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_808_add__right__mono,axiom,
% 15.61/15.71 ! [C_5,A_9,B_10] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_9),B_10))
% 15.61/15.71 => 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_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_10),C_5))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_809_add__left__mono,axiom,
% 15.61/15.71 ! [C_4,A_8,B_9] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_8),B_9))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),A_8)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),B_9))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_810_add__left__mono,axiom,
% 15.61/15.71 ! [C_4,A_8,B_9] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_8),B_9))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_4),A_8)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_4),B_9))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_811_add__mono,axiom,
% 15.61/15.71 ! [C_3,D_3,A_7,B_8] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_7),B_8))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_3),D_3))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_7),C_3)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_8),D_3))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_812_add__mono,axiom,
% 15.61/15.71 ! [C_3,D_3,A_7,B_8] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_7),B_8))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_3),D_3))
% 15.61/15.71 => 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_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_8),D_3))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_813_add__le__imp__le__right,axiom,
% 15.61/15.71 ! [A_6,C_2,B_7] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_6),C_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_7),C_2)))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_6),B_7)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_814_add__le__imp__le__right,axiom,
% 15.61/15.71 ! [A_6,C_2,B_7] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_6),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_7),C_2)))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_6),B_7)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_815_add__le__imp__le__left,axiom,
% 15.61/15.71 ! [C_1,A_5,B_6] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),A_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),B_6)))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_5),B_6)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_816_add__le__imp__le__left,axiom,
% 15.61/15.71 ! [C_1,A_5,B_6] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_1),A_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_1),B_6)))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_5),B_6)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_817_diff__add__cancel,axiom,
% 15.61/15.71 ! [A_4,B_5] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_4),B_5)),B_5) = A_4 ).
% 15.61/15.71
% 15.61/15.71 fof(fact_818_add__diff__cancel,axiom,
% 15.61/15.71 ! [A_3,B_4] : hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_4)),B_4) = A_3 ).
% 15.61/15.71
% 15.61/15.71 fof(fact_819_add__Suc__right,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_820_add__Suc,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_821_add__Suc__shift,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_822_le__add2,axiom,
% 15.61/15.71 ! [N,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_823_le__add1,axiom,
% 15.61/15.71 ! [N,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_824_le__iff__add,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na))
% 15.61/15.71 <=> ? [K_2] : Na = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_825_nat__add__left__cancel__le,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_826_trans__le__add1,axiom,
% 15.61/15.71 ! [M_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M_1))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_827_trans__le__add2,axiom,
% 15.61/15.71 ! [M_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),J))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_828_add__le__mono1,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_829_add__le__mono,axiom,
% 15.61/15.71 ! [K_1,L_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L_1))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_830_add__leD2,axiom,
% 15.61/15.71 ! [M_1,K_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_831_add__leD1,axiom,
% 15.61/15.71 ! [M_1,K_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_832_add__leE,axiom,
% 15.61/15.71 ! [M_1,K_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N))
% 15.61/15.71 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.71 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_833_diff__add__inverse2,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)),N) = M_1 ).
% 15.61/15.71
% 15.61/15.71 fof(fact_834_diff__add__inverse,axiom,
% 15.61/15.71 ! [N,M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1)),N) = M_1 ).
% 15.61/15.71
% 15.61/15.71 fof(fact_835_diff__diff__left,axiom,
% 15.61/15.71 ! [I_1,J,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_836_diff__cancel,axiom,
% 15.61/15.71 ! [K_1,M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_837_diff__cancel2,axiom,
% 15.61/15.71 ! [M_1,K_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_838_diff__diff__right,axiom,
% 15.61/15.71 ! [I_1,K_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_839_le__diff__conv,axiom,
% 15.61/15.71 ! [J_1,K,I_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)),I_2))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_840_le__add__diff,axiom,
% 15.61/15.71 ! [M_1,K_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1)),K_1))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_841_le__add__diff__inverse,axiom,
% 15.61/15.71 ! [N,M_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) = M_1 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_842_add__diff__assoc,axiom,
% 15.61/15.71 ! [I_1,K_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_843_le__diff__conv2,axiom,
% 15.61/15.71 ! [I_2,K,J_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_1))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_844_le__add__diff__inverse2,axiom,
% 15.61/15.71 ! [N,M_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),N) = M_1 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_845_le__imp__diff__is__add,axiom,
% 15.61/15.71 ! [K,I_2,J_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 15.61/15.71 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2) = K
% 15.61/15.71 <=> J_1 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),I_2) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_846_diff__add__assoc,axiom,
% 15.61/15.71 ! [I_1,K_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_847_add__diff__assoc2,axiom,
% 15.61/15.71 ! [I_1,K_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),K_1) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_848_diff__add__assoc2,axiom,
% 15.61/15.71 ! [I_1,K_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_849_Suc__eq__plus1__left,axiom,
% 15.61/15.71 ! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_850_Suc__eq__plus1,axiom,
% 15.61/15.71 ! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_851_diff__Suc__diff__eq1,axiom,
% 15.61/15.71 ! [M_1,K_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),hAPP_nat_nat(suc,J)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_852_diff__Suc__diff__eq2,axiom,
% 15.61/15.71 ! [M_1,K_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))),M_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,J)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_853_termination__basic__simps_I4_J,axiom,
% 15.61/15.71 ! [Y,X,Z] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Z))
% 15.61/15.71 => 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))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_854_termination__basic__simps_I3_J,axiom,
% 15.61/15.71 ! [Z,X,Y] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y))
% 15.61/15.71 => 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))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_855_lessI,axiom,
% 15.61/15.71 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_856_Suc__mono,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_857_finite__Collect__less__nat,axiom,
% 15.61/15.71 ! [K] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),K)))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_858_less__not__refl,axiom,
% 15.61/15.71 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_859_nat__neq__iff,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( M != Na
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))
% 15.61/15.71 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_860_linorder__neqE__nat,axiom,
% 15.61/15.71 ! [X,Y] :
% 15.61/15.71 ( X != Y
% 15.61/15.71 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_861_less__irrefl__nat,axiom,
% 15.61/15.71 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_862_less__not__refl2,axiom,
% 15.61/15.71 ! [N,M_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M_1))
% 15.61/15.71 => M_1 != N ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_863_less__not__refl3,axiom,
% 15.61/15.71 ! [S,T] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))
% 15.61/15.71 => S != T ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_864_nat__less__cases,axiom,
% 15.61/15.71 ! [Pa,M,Na] :
% 15.61/15.71 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)) )
% 15.61/15.71 => ( ( M = Na
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)) )
% 15.61/15.71 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)) )
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_865_not__less__eq,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_866_less__Suc__eq,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))
% 15.61/15.71 | M = Na ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_867_Suc__less__eq,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_868_not__less__less__Suc__eq,axiom,
% 15.61/15.71 ! [Na,M] :
% 15.61/15.71 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))
% 15.61/15.71 <=> Na = M ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_869_less__antisym,axiom,
% 15.61/15.71 ! [N,M_1] :
% 15.61/15.71 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M_1))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M_1)))
% 15.61/15.71 => M_1 = N ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_870_less__SucI,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_871_Suc__lessI,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => ( hAPP_nat_nat(suc,M_1) != N
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_872_less__trans__Suc,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_873_less__SucE,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N)))
% 15.61/15.71 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => M_1 = N ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_874_Suc__lessD,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_875_Suc__less__SucD,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N)))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_876_not__add__less1,axiom,
% 15.61/15.71 ! [I_1,J] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),I_1)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_877_not__add__less2,axiom,
% 15.61/15.71 ! [J,I_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),I_1)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_878_nat__add__left__cancel__less,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_879_trans__less__add1,axiom,
% 15.61/15.71 ! [M_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M_1))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_880_trans__less__add2,axiom,
% 15.61/15.71 ! [M_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),J))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_881_add__less__mono1,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_882_add__less__mono,axiom,
% 15.61/15.71 ! [K_1,L_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L_1))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_883_less__add__eq__less,axiom,
% 15.61/15.71 ! [M_1,N,K_1,L_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_1))
% 15.61/15.71 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),L_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_884_add__lessD1,axiom,
% 15.61/15.71 ! [I_1,J,K_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_885_termination__basic__simps_I1_J,axiom,
% 15.61/15.71 ! [Z,X,Y] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_886_termination__basic__simps_I2_J,axiom,
% 15.61/15.71 ! [Y,X,Z] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_887_nat__less__le,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na))
% 15.61/15.71 & M != Na ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_888_le__eq__less__or__eq,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))
% 15.61/15.71 | M = Na ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_889_less__imp__le__nat,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_890_le__neq__implies__less,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.71 => ( M_1 != N
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_891_less__or__eq__imp__le,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 | M_1 = N )
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_892_termination__basic__simps_I5_J,axiom,
% 15.61/15.71 ! [X,Y] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_893_less__imp__diff__less,axiom,
% 15.61/15.71 ! [N,J,K_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),N)),K_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_894_diff__less__mono2,axiom,
% 15.61/15.71 ! [L_1,M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),L_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),M_1))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_895_finite__nat__set__iff__bounded,axiom,
% 15.61/15.71 ! [N_2] :
% 15.61/15.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))
% 15.61/15.71 <=> ? [M_2] :
% 15.61/15.71 ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),M_2)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_896_card__Collect__less__nat,axiom,
% 15.61/15.71 ! [Na] : hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),Na))) = Na ).
% 15.61/15.71
% 15.61/15.71 fof(fact_897_finite__M__bounded__by__nat,axiom,
% 15.61/15.71 ! [Pa,I_2] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2))))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_898_less__add__Suc1,axiom,
% 15.61/15.71 ! [I_1,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),M_1)))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_899_less__add__Suc2,axiom,
% 15.61/15.71 ! [I_1,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),I_1)))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_900_less__iff__Suc__add,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))
% 15.61/15.71 <=> ? [K_2] : Na = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_901_less__eq__Suc__le,axiom,
% 15.61/15.71 ! [Na,M] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_902_less__Suc__eq__le,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_903_Suc__le__eq,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M)),Na))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_904_le__imp__less__Suc,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_905_Suc__leI,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_1)),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_906_le__less__Suc__eq,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))
% 15.61/15.71 <=> Na = M ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_907_Suc__le__lessD,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_1)),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_908_diff__less__Suc,axiom,
% 15.61/15.71 ! [M_1,N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),hAPP_nat_nat(suc,M_1))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_909_less__diff__conv,axiom,
% 15.61/15.71 ! [I_2,J_1,K] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_910_add__diff__inverse,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) = M_1 ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_911_diff__less__mono,axiom,
% 15.61/15.71 ! [C,A_1,B_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_2))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_1),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_2),C))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_912_less__diff__iff,axiom,
% 15.61/15.71 ! [Na,K,M] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_913_less__eq__Suc__le__raw,axiom,
% 15.61/15.71 ! [X_2] : hAPP_n1699378549t_bool(ord_less_nat,X_2) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X_2)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_914_mono__nat__linear__lb,axiom,
% 15.61/15.71 ! [M,K,F] :
% 15.61/15.71 ( ! [M_2,N_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_2)),hAPP_nat_nat(F,N_1))) )
% 15.61/15.71 => 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)),K)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_915_inc__induct,axiom,
% 15.61/15.71 ! [Pa,I_2,J_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(Pa,J_1))
% 15.61/15.71 => ( ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_1))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,I)))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(Pa,I)) ) )
% 15.61/15.71 => hBOOL(hAPP_nat_bool(Pa,I_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_916_less__imp__Suc__add,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => ? [K_2] : N = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_917_bounded__nat__set__is__finite,axiom,
% 15.61/15.71 ! [Na,N_2] :
% 15.61/15.71 ( ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Na)) )
% 15.61/15.71 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_918_less__mono__imp__le__mono,axiom,
% 15.61/15.71 ! [I_2,J_1,F] :
% 15.61/15.71 ( ! [I,J_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I)),hAPP_nat_nat(F,J_2))) )
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J_1))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_919_lessE,axiom,
% 15.61/15.71 ! [I_1,K_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1))
% 15.61/15.71 => ( K_1 != hAPP_nat_nat(suc,I_1)
% 15.61/15.71 => ~ ! [J_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_2))
% 15.61/15.71 => K_1 != hAPP_nat_nat(suc,J_2) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_920_Suc__lessE,axiom,
% 15.61/15.71 ! [I_1,K_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1))
% 15.61/15.71 => ~ ! [J_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_2))
% 15.61/15.71 => K_1 != hAPP_nat_nat(suc,J_2) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_921_less__zeroE,axiom,
% 15.61/15.71 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_922_le0,axiom,
% 15.61/15.71 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_923_zero__less__Suc,axiom,
% 15.61/15.71 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_924_le__0__eq,axiom,
% 15.61/15.71 ! [Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),zero_zero_nat))
% 15.61/15.71 <=> Na = zero_zero_nat ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_925_less__eq__nat_Osimps_I1_J,axiom,
% 15.61/15.71 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_926_diffs0__imp__equal,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) = zero_zero_nat
% 15.61/15.71 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_1) = zero_zero_nat
% 15.61/15.71 => M_1 = N ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_927_diff__self__eq__0,axiom,
% 15.61/15.71 ! [M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),M_1) = zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_928_minus__nat_Odiff__0,axiom,
% 15.61/15.71 ! [M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),zero_zero_nat) = M_1 ).
% 15.61/15.71
% 15.61/15.71 fof(fact_929_diff__0__eq__0,axiom,
% 15.61/15.71 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N) = zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_930_bot__nat__def,axiom,
% 15.61/15.71 bot_bot_nat = zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_931_add__eq__self__zero,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N) = M_1
% 15.61/15.71 => N = zero_zero_nat ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_932_add__is__0,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na) = zero_zero_nat
% 15.61/15.71 <=> ( M = zero_zero_nat
% 15.61/15.71 & Na = zero_zero_nat ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_933_Nat_Oadd__0__right,axiom,
% 15.61/15.71 ! [M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),zero_zero_nat) = M_1 ).
% 15.61/15.71
% 15.61/15.71 fof(fact_934_plus__nat_Oadd__0,axiom,
% 15.61/15.71 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N) = N ).
% 15.61/15.71
% 15.61/15.71 fof(fact_935_gr0I,axiom,
% 15.61/15.71 ! [N] :
% 15.61/15.71 ( N != zero_zero_nat
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_936_gr__implies__not0,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))
% 15.61/15.71 => N != zero_zero_nat ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_937_less__nat__zero__code,axiom,
% 15.61/15.71 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_938_neq0__conv,axiom,
% 15.61/15.71 ! [Na] :
% 15.61/15.71 ( Na != zero_zero_nat
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_939_not__less0,axiom,
% 15.61/15.71 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_940_Suc__neq__Zero,axiom,
% 15.61/15.71 ! [M_1] : hAPP_nat_nat(suc,M_1) != zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_941_Zero__neq__Suc,axiom,
% 15.61/15.71 ! [M_1] : zero_zero_nat != hAPP_nat_nat(suc,M_1) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_942_nat_Osimps_I3_J,axiom,
% 15.61/15.71 ! [Nat_2] : hAPP_nat_nat(suc,Nat_2) != zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_943_Suc__not__Zero,axiom,
% 15.61/15.71 ! [M_1] : hAPP_nat_nat(suc,M_1) != zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_944_nat_Osimps_I2_J,axiom,
% 15.61/15.71 ! [Nat_1] : zero_zero_nat != hAPP_nat_nat(suc,Nat_1) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_945_Zero__not__Suc,axiom,
% 15.61/15.71 ! [M_1] : zero_zero_nat != hAPP_nat_nat(suc,M_1) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_946_gr0__conv__Suc,axiom,
% 15.61/15.71 ! [Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))
% 15.61/15.71 <=> ? [M_2] : Na = hAPP_nat_nat(suc,M_2) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_947_less__Suc0,axiom,
% 15.61/15.71 ! [Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))
% 15.61/15.71 <=> Na = zero_zero_nat ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_948_less__Suc__eq__0__disj,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))
% 15.61/15.71 <=> ( M = zero_zero_nat
% 15.61/15.71 | ? [J_2] :
% 15.61/15.71 ( M = hAPP_nat_nat(suc,J_2)
% 15.61/15.71 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),Na)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_949_one__is__add,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)
% 15.61/15.71 <=> ( ( M = hAPP_nat_nat(suc,zero_zero_nat)
% 15.61/15.71 & Na = zero_zero_nat )
% 15.61/15.71 | ( M = zero_zero_nat
% 15.61/15.71 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_950_add__is__1,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na) = hAPP_nat_nat(suc,zero_zero_nat)
% 15.61/15.71 <=> ( ( M = hAPP_nat_nat(suc,zero_zero_nat)
% 15.61/15.71 & Na = zero_zero_nat )
% 15.61/15.71 | ( M = zero_zero_nat
% 15.61/15.71 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_951_add__gr__0,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( 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),Na)))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))
% 15.61/15.71 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_952_zero__less__diff,axiom,
% 15.61/15.71 ! [Na,M] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),M)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_953_diff__less,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),M_1)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_954_diff__add__0,axiom,
% 15.61/15.71 ! [N,M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1)) = zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_955_diff__is__0__eq,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na) = zero_zero_nat
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_956_diff__is__0__eq_H,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) = zero_zero_nat ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_957_One__nat__def,axiom,
% 15.61/15.71 one_one_nat = hAPP_nat_nat(suc,zero_zero_nat) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_958_diff__Suc,axiom,
% 15.61/15.71 ! [M,Na] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,Na)) = hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_959_Suc__pred,axiom,
% 15.61/15.71 ! [N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 15.61/15.71 => hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))) = N ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_960_diff__Suc__less,axiom,
% 15.61/15.71 ! [I_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,I_1))),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_961_nat__diff__split,axiom,
% 15.61/15.71 ! [Pa,A_2,B_3] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))
% 15.61/15.71 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) )
% 15.61/15.71 & ! [D_2] :
% 15.61/15.71 ( A_2 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D_2)
% 15.61/15.71 => hBOOL(hAPP_nat_bool(Pa,D_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_962_nat__diff__split__asm,axiom,
% 15.61/15.71 ! [Pa,A_2,B_3] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))
% 15.61/15.71 <=> ~ ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))
% 15.61/15.71 & ~ hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) )
% 15.61/15.71 | ? [D_2] :
% 15.61/15.71 ( A_2 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D_2)
% 15.61/15.71 & ~ hBOOL(hAPP_nat_bool(Pa,D_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_963_card__less__Suc,axiom,
% 15.61/15.71 ! [I_2,M_3] :
% 15.61/15.71 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))
% 15.61/15.71 => hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2))))) = hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2))))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_964_card__less,axiom,
% 15.61/15.71 ! [I_2,M_3] :
% 15.61/15.71 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))
% 15.61/15.71 => hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2))))) != zero_zero_nat ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_965_card__less__Suc2,axiom,
% 15.61/15.71 ! [I_2,M_3] :
% 15.61/15.71 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))
% 15.61/15.71 => hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2)))) = hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2))))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_966_Suc__diff__1,axiom,
% 15.61/15.71 ! [N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 15.61/15.71 => hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)) = N ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_967_Suc__pred_H,axiom,
% 15.61/15.71 ! [N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 15.61/15.71 => N = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_968_add__eq__if,axiom,
% 15.61/15.71 ! [N,M_1] :
% 15.61/15.71 ( ( M_1 = zero_zero_nat
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N) = N )
% 15.61/15.71 & ( M_1 != zero_zero_nat
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_969_ex__least__nat__less,axiom,
% 15.61/15.71 ! [Na,Pa] :
% 15.61/15.71 ( ~ hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(Pa,Na))
% 15.61/15.71 => ? [K_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),Na))
% 15.61/15.71 & ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),K_2))
% 15.61/15.71 => ~ hBOOL(hAPP_nat_bool(Pa,I)) )
% 15.61/15.71 & hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),one_one_nat))) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_970_ex__least__nat__le,axiom,
% 15.61/15.71 ! [Na,Pa] :
% 15.61/15.71 ( ~ hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(Pa,Na))
% 15.61/15.71 => ? [K_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),Na))
% 15.61/15.71 & ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_2))
% 15.61/15.71 => ~ hBOOL(hAPP_nat_bool(Pa,I)) )
% 15.61/15.71 & hBOOL(hAPP_nat_bool(Pa,K_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_971_less__imp__add__positive,axiom,
% 15.61/15.71 ! [I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))
% 15.61/15.71 => ? [K_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))
% 15.61/15.71 & hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_2) = J ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_972_gr0__implies__Suc,axiom,
% 15.61/15.71 ! [N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 15.61/15.71 => ? [M_2] : N = hAPP_nat_nat(suc,M_2) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_973_nat_Oexhaust,axiom,
% 15.61/15.71 ! [Y] :
% 15.61/15.71 ( Y != zero_zero_nat
% 15.61/15.71 => ~ ! [Nat] : Y != hAPP_nat_nat(suc,Nat) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_974_zero__induct,axiom,
% 15.61/15.71 ! [Pa,K] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(Pa,K))
% 15.61/15.71 => ( ! [N_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1)))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(Pa,N_1)) )
% 15.61/15.71 => hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_975_not0__implies__Suc,axiom,
% 15.61/15.71 ! [N] :
% 15.61/15.71 ( N != zero_zero_nat
% 15.61/15.71 => ? [M_2] : N = hAPP_nat_nat(suc,M_2) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_976_nat__induct,axiom,
% 15.61/15.71 ! [Na,Pa] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))
% 15.61/15.71 => ( ! [N_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(Pa,N_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1))) )
% 15.61/15.71 => hBOOL(hAPP_nat_bool(Pa,Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_977_expand__Suc,axiom,
% 15.61/15.71 ! [V] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V)))
% 15.61/15.71 => number_number_of_nat(V) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,number_number_of_nat(V)),one_one_nat)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_978_mult__0,axiom,
% 15.61/15.71 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),N) = zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_979_mult__0__right,axiom,
% 15.61/15.71 ! [M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),zero_zero_nat) = zero_zero_nat ).
% 15.61/15.71
% 15.61/15.71 fof(fact_980_mult__is__0,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na) = zero_zero_nat
% 15.61/15.71 <=> ( M = zero_zero_nat
% 15.61/15.71 | Na = zero_zero_nat ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_981_mult__cancel1,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)
% 15.61/15.71 <=> ( M = Na
% 15.61/15.71 | K = zero_zero_nat ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_982_mult__cancel2,axiom,
% 15.61/15.71 ! [M,K,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)
% 15.61/15.71 <=> ( M = Na
% 15.61/15.71 | K = zero_zero_nat ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_983_Suc__mult__cancel1,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)
% 15.61/15.71 <=> M = Na ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_984_add__mult__distrib,axiom,
% 15.61/15.71 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_985_add__mult__distrib2,axiom,
% 15.61/15.71 ! [K_1,M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_986_mult__le__mono,axiom,
% 15.61/15.71 ! [K_1,L_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),L_1))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_987_mult__le__mono2,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),J))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_988_mult__le__mono1,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),K_1))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_989_le__cube,axiom,
% 15.61/15.71 ! [M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),M_1)))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_990_le__square,axiom,
% 15.61/15.71 ! [M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),M_1))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_991_diff__mult__distrib,axiom,
% 15.61/15.71 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_992_diff__mult__distrib2,axiom,
% 15.61/15.71 ! [K_1,M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_993_nat__mult__eq__1__iff,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na) = one_one_nat
% 15.61/15.71 <=> ( M = one_one_nat
% 15.61/15.71 & Na = one_one_nat ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_994_nat__mult__1__right,axiom,
% 15.61/15.71 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),one_one_nat) = N ).
% 15.61/15.71
% 15.61/15.71 fof(fact_995_nat__1__eq__mult__iff,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( one_one_nat = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)
% 15.61/15.71 <=> ( M = one_one_nat
% 15.61/15.71 & Na = one_one_nat ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_996_nat__mult__1,axiom,
% 15.61/15.71 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),N) = N ).
% 15.61/15.71
% 15.61/15.71 fof(fact_997_mult__eq__1__iff,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na) = hAPP_nat_nat(suc,zero_zero_nat)
% 15.61/15.71 <=> ( M = hAPP_nat_nat(suc,zero_zero_nat)
% 15.61/15.71 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_998_mult__less__mono2,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),J))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_999_mult__less__mono1,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),K_1))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1000_mult__less__cancel2,axiom,
% 15.61/15.71 ! [M,K,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 15.61/15.71 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1001_mult__less__cancel1,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 15.61/15.71 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1002_nat__0__less__mult__iff,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))
% 15.61/15.71 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1003_Suc__mult__less__cancel1,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1004_mult__Suc__right,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1005_mult__Suc,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,M_1)),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1006_Suc__mult__le__cancel1,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1007_mult__eq__self__implies__10,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( M_1 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)
% 15.61/15.71 => ( N = one_one_nat
% 15.61/15.71 | M_1 = zero_zero_nat ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1008_n__less__m__mult__n,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1009_n__less__n__mult__m,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M_1))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1010_one__less__mult,axiom,
% 15.61/15.71 ! [M_1,N] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1011_one__le__mult__iff,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))
% 15.61/15.71 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,zero_zero_nat)),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1012_mult__le__cancel1,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1013_mult__le__cancel2,axiom,
% 15.61/15.71 ! [M,K,Na] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))
% 15.61/15.71 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 15.61/15.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1014_mult__eq__if,axiom,
% 15.61/15.71 ! [N,M_1] :
% 15.61/15.71 ( ( M_1 = zero_zero_nat
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N) = zero_zero_nat )
% 15.61/15.71 & ( M_1 != zero_zero_nat
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1015_nat__less__add__iff2,axiom,
% 15.61/15.71 ! [U,M,Na,I_2,J_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)),U)),Na))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1016_nat__mult__commute,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M_1) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1017_nat__mult__assoc,axiom,
% 15.61/15.71 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1018_less__number__of__int__code,axiom,
% 15.61/15.71 ! [K,L] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L)))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1019_zmult__1,axiom,
% 15.61/15.71 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),Z) = Z ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1020_zmult__1__right,axiom,
% 15.61/15.71 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z),one_one_int) = Z ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1021_zmult__commute,axiom,
% 15.61/15.71 ! [Z,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z),W) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1022_times__numeral__code_I5_J,axiom,
% 15.61/15.71 ! [V,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,number_number_of_int(V)),number_number_of_int(W)) = number_number_of_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V),W)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1023_zmult__assoc,axiom,
% 15.61/15.71 ! [Z1,Z2,Z3] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),Z2)),Z3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),Z3)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1024_less__eq__number__of__int__code,axiom,
% 15.61/15.71 ! [K,L] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(K)),number_number_of_int(L)))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1025_zdiff__zmult__distrib,axiom,
% 15.61/15.71 ! [Z1,Z2,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z1),Z2)),W) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),W)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),W)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1026_zdiff__zmult__distrib2,axiom,
% 15.61/15.71 ! [W,Z1,Z2] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z1),Z2)) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z2)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1027_zadd__zmult__distrib2,axiom,
% 15.61/15.71 ! [W,Z1,Z2] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z2)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1028_plus__numeral__code_I9_J,axiom,
% 15.61/15.71 ! [V,W] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,number_number_of_int(V)),number_number_of_int(W)) = number_number_of_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),W)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1029_zadd__zmult__distrib,axiom,
% 15.61/15.71 ! [Z1,Z2,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),W)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),W)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1030_zmult__zless__mono2,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),J))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1031_pos__zmult__eq__1__iff,axiom,
% 15.61/15.71 ! [Na,M] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))
% 15.61/15.71 => ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),Na) = one_one_int
% 15.61/15.71 <=> ( M = one_one_int
% 15.61/15.71 & Na = one_one_int ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1032_odd__nonzero,axiom,
% 15.61/15.71 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z)),Z) != zero_zero_int ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1033_zadd__0__right,axiom,
% 15.61/15.71 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z),zero_zero_int) = Z ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1034_zadd__0,axiom,
% 15.61/15.71 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),Z) = Z ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1035_int__0__less__1,axiom,
% 15.61/15.71 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1036_int__one__le__iff__zero__less,axiom,
% 15.61/15.71 ! [Z_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Z_2))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1037_less__bin__lemma,axiom,
% 15.61/15.71 ! [K,L] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),L)),zero_zero_int)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1038_le__imp__0__less,axiom,
% 15.61/15.71 ! [Z] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1039_odd__less__0,axiom,
% 15.61/15.71 ! [Z_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z_2)),Z_2)),zero_zero_int))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),zero_zero_int)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1040_zadd__left__mono,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),I_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),J))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1041_zadd__assoc,axiom,
% 15.61/15.71 ! [Z1,Z2,Z3] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)),Z3) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z2),Z3)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1042_zadd__left__commute,axiom,
% 15.61/15.71 ! [X,Y,Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y),Z)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Z)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1043_zadd__commute,axiom,
% 15.61/15.71 ! [Z,W] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1044_zle__refl,axiom,
% 15.61/15.71 ! [W] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),W)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1045_zle__linear,axiom,
% 15.61/15.71 ! [Z,W] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),W))
% 15.61/15.71 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1046_zle__trans,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),J))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,J),K_1))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),K_1)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1047_zle__antisym,axiom,
% 15.61/15.71 ! [Z,W] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),W))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z))
% 15.61/15.71 => Z = W ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1048_zle__diff1__eq,axiom,
% 15.61/15.71 ! [W_1,Z_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_2),one_one_int)))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1049_zless__linear,axiom,
% 15.61/15.71 ! [X,Y] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))
% 15.61/15.71 | X = Y
% 15.61/15.71 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1050_zless__le,axiom,
% 15.61/15.71 ! [Z_2,W_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1))
% 15.61/15.71 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),W_1))
% 15.61/15.71 & Z_2 != W_1 ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1051_zadd__strict__right__mono,axiom,
% 15.61/15.71 ! [K_1,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_1),K_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,J),K_1))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1052_zadd__zless__mono,axiom,
% 15.61/15.71 ! [Z_4,Z,W_2,W] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_4),Z))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_2),Z_4)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1053_zle__add1__eq__le,axiom,
% 15.61/15.71 ! [W_1,Z_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W_1),Z_2)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1054_add1__zle__eq,axiom,
% 15.61/15.71 ! [W_1,Z_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),one_one_int)),Z_2))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1055_zless__imp__add1__zle,axiom,
% 15.61/15.71 ! [W,Z] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),one_one_int)),Z)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1056_zless__add1__eq,axiom,
% 15.61/15.71 ! [W_1,Z_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))
% 15.61/15.71 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))
% 15.61/15.71 | W_1 = Z_2 ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1057_nat__mult__eq__cancel__disj,axiom,
% 15.61/15.71 ! [K,M,Na] :
% 15.61/15.71 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)
% 15.61/15.71 <=> ( K = zero_zero_nat
% 15.61/15.71 | M = Na ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1058_left__add__mult__distrib,axiom,
% 15.61/15.71 ! [I_1,U_1,J,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U_1)),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),U_1)),K_1) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1059_nat__mult__eq__cancel1,axiom,
% 15.61/15.71 ! [M,Na,K] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 15.61/15.71 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)
% 15.61/15.71 <=> M = Na ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1060_nat__mult__less__cancel1,axiom,
% 15.61/15.71 ! [M,Na,K] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1061_nat__mult__le__cancel1,axiom,
% 15.61/15.71 ! [M,Na,K] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1062_nat__le__add__iff1,axiom,
% 15.61/15.71 ! [U,M,Na,J_1,I_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),I_2))
% 15.61/15.71 => ( 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(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na)))
% 15.61/15.71 <=> 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(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1063_nat__diff__add__eq1,axiom,
% 15.61/15.71 ! [U_1,M_1,N,J,I_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),I_1))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U_1)),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U_1)),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U_1)),M_1)),N) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1064_nat__eq__add__iff1,axiom,
% 15.61/15.71 ! [U,M,Na,J_1,I_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),I_2))
% 15.61/15.71 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na)
% 15.61/15.71 <=> hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M) = Na ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1065_nat__le__add__iff2,axiom,
% 15.61/15.71 ! [U,M,Na,I_2,J_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 15.61/15.71 => ( 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(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)),U)),Na))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1066_nat__diff__add__eq2,axiom,
% 15.61/15.71 ! [U_1,M_1,N,I_1,J] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 15.61/15.71 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U_1)),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U_1)),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)),U_1)),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1067_nat__eq__add__iff2,axiom,
% 15.61/15.71 ! [U,M,Na,I_2,J_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 15.61/15.71 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na)
% 15.61/15.71 <=> M = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)),U)),Na) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1068_nat__less__add__iff1,axiom,
% 15.61/15.71 ! [U,M,Na,J_1,I_2] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),I_2))
% 15.61/15.71 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1069_zdiv__mono2__neg__lemma,axiom,
% 15.61/15.71 ! [B_2,Q_2,R_2,B_1,Q_1,R_1] :
% 15.61/15.71 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1)
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1)),zero_zero_int))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_1),B_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),Q_2)) ) ) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1070_unique__quotient__lemma__neg,axiom,
% 15.61/15.71 ! [B_2,Q_1,R_1,Q_2,R_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_1)),R_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2)))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,R_2),zero_zero_int))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_1))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_2),Q_1)) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1071_number__of__is__id,axiom,
% 15.61/15.71 ! [K_1] : number_number_of_int(K_1) = K_1 ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1072_int__0__neq__1,axiom,
% 15.61/15.71 zero_zero_int != one_one_int ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1073_self__quotient__aux1,axiom,
% 15.61/15.71 ! [R_2,Q_2,A_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1))
% 15.61/15.71 => ( A_1 = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),Q_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),A_1))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Q_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1074_self__quotient__aux2,axiom,
% 15.61/15.71 ! [R_2,Q_2,A_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1))
% 15.61/15.71 => ( A_1 = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),Q_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_2),one_one_int)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1075_q__pos__lemma,axiom,
% 15.61/15.71 ! [B_1,Q_1,R_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1)))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Q_1)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1076_q__neg__lemma,axiom,
% 15.61/15.71 ! [B_1,Q_1,R_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1)),zero_zero_int))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),zero_zero_int)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1077_unique__quotient__lemma,axiom,
% 15.61/15.71 ! [B_2,Q_1,R_1,Q_2,R_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_1)),R_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2)))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),Q_2)) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1078_zdiv__mono2__lemma,axiom,
% 15.61/15.71 ! [B_2,Q_2,R_2,B_1,Q_1,R_1] :
% 15.61/15.71 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1)
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1)))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_1),B_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_2),Q_1)) ) ) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1079_int__less__induct,axiom,
% 15.61/15.71 ! [Pa,I_2,K] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),one_one_int)))
% 15.61/15.71 => ( ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),K))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,I))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))) ) )
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1080_int__le__induct,axiom,
% 15.61/15.71 ! [Pa,I_2,K] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),K))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,K))
% 15.61/15.71 => ( ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I),K))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,I))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))) ) )
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1081_int__gr__induct,axiom,
% 15.61/15.71 ! [Pa,K,I_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K),one_one_int)))
% 15.61/15.71 => ( ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,I))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))) ) )
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1082_int__ge__induct,axiom,
% 15.61/15.71 ! [Pa,K,I_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),I_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,K))
% 15.61/15.71 => ( ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),I))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,I))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))) ) )
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1083_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 15.61/15.71 ! [Y,X] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1084_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 15.61/15.71 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1085_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 15.61/15.71 ! [Y,X] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y))
% 15.61/15.71 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1086_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 15.61/15.71 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1087_transfer__nat__int__set__cong,axiom,
% 15.61/15.71 ! [P_1,Pa] :
% 15.61/15.71 ( ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,X_2))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(P_1,X_2)) ) )
% 15.61/15.71 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),Pa)) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),P_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1088_decr__mult__lemma,axiom,
% 15.61/15.71 ! [K,Pa,D_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))
% 15.61/15.71 => ( ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(Pa,X_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))) )
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K))
% 15.61/15.71 => ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(Pa,X_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1)))) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1089_conj__le__cong,axiom,
% 15.61/15.71 ! [P_1,Pa,X_1] :
% 15.61/15.71 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 15.61/15.71 => ( hBOOL(Pa)
% 15.61/15.71 <=> hBOOL(P_1) ) )
% 15.61/15.71 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 15.61/15.71 & hBOOL(Pa) )
% 15.61/15.71 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 15.61/15.71 & hBOOL(P_1) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1090_imp__le__cong,axiom,
% 15.61/15.71 ! [P_1,Pa,X_1] :
% 15.61/15.71 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 15.61/15.71 => ( hBOOL(Pa)
% 15.61/15.71 <=> hBOOL(P_1) ) )
% 15.61/15.71 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 15.61/15.71 => hBOOL(Pa) )
% 15.61/15.71 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 15.61/15.71 => hBOOL(P_1) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1091_incr__mult__lemma,axiom,
% 15.61/15.71 ! [K,Pa,D_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))
% 15.61/15.71 => ( ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(Pa,X_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))) )
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K))
% 15.61/15.71 => ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(Pa,X_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1)))) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1092_int__induct,axiom,
% 15.61/15.71 ! [I_2,Pa,K] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(Pa,K))
% 15.61/15.71 => ( ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),I))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,I))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))) ) )
% 15.61/15.71 => ( ! [I] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I),K))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,I))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))) ) )
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1093_minusinfinity,axiom,
% 15.61/15.71 ! [Pa,P1,D_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))
% 15.61/15.71 => ( ! [X_2,K_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(P1,X_2))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),D_1)))) )
% 15.61/15.71 => ( ? [Z_3] :
% 15.61/15.71 ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Z_3))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,X_2))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(P1,X_2)) ) )
% 15.61/15.71 => ( ? [X1] : hBOOL(hAPP_int_bool(P1,X1))
% 15.61/15.71 => ? [X1] : hBOOL(hAPP_int_bool(Pa,X1)) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1094_plusinfinity,axiom,
% 15.61/15.71 ! [Pa,P_1,D_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))
% 15.61/15.71 => ( ! [X_2,K_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(P_1,X_2))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),D_1)))) )
% 15.61/15.71 => ( ? [Z_3] :
% 15.61/15.71 ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),X_2))
% 15.61/15.71 => ( hBOOL(hAPP_int_bool(Pa,X_2))
% 15.61/15.71 <=> hBOOL(hAPP_int_bool(P_1,X_2)) ) )
% 15.61/15.71 => ( ? [X1] : hBOOL(hAPP_int_bool(P_1,X1))
% 15.61/15.71 => ? [X1] : hBOOL(hAPP_int_bool(Pa,X1)) ) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1095_tsub__def,axiom,
% 15.61/15.71 ! [Y,X] :
% 15.61/15.71 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y),X))
% 15.61/15.71 => hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y) )
% 15.61/15.71 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y),X))
% 15.61/15.71 => hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y) = zero_zero_int ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1096_zero__zle__int,axiom,
% 15.61/15.71 ! [N] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1097_int__less__0__conv,axiom,
% 15.61/15.71 ! [K_1] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_1)),zero_zero_int)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1098_int__1,axiom,
% 15.61/15.71 hAPP_nat_int(semiri1621563631at_int,one_one_nat) = one_one_int ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1099_int__0,axiom,
% 15.61/15.71 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) = zero_zero_int ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1100_int__eq__0__conv,axiom,
% 15.61/15.71 ! [Na] :
% 15.61/15.71 ( hAPP_nat_int(semiri1621563631at_int,Na) = zero_zero_int
% 15.61/15.71 <=> Na = zero_zero_nat ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1101_zless__int,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1102_zle__int,axiom,
% 15.61/15.71 ! [M,Na] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1103_zadd__int,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1104_zadd__int__left,axiom,
% 15.61/15.71 ! [M_1,N,Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,N)),Z)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))),Z) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1105_zle__iff__zadd,axiom,
% 15.61/15.71 ! [W_1,Z_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W_1),Z_2))
% 15.61/15.71 <=> ? [N_1] : Z_2 = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,N_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1106_zmult__int,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1107_int__mult,axiom,
% 15.61/15.71 ! [M_1,N] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1108_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 15.61/15.71 ! [X,Y] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1109_transfer__int__nat__relations_I2_J,axiom,
% 15.61/15.71 ! [X_1,Y_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1110_transfer__int__nat__relations_I3_J,axiom,
% 15.61/15.71 ! [X_1,Y_1] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),Y_1)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1111_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 15.61/15.71 ! [X,Y] : hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X),Y)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1112_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 15.61/15.71 ! [X,Y] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Y)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1113_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 15.61/15.71 ! [A] : hAPP_f22106695ol_nat(finite_card_nat,A) = hAPP_f957591787ol_nat(finite_card_int,image_nat_int(semiri1621563631at_int,A)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1114_transfer__nat__int__set__relations_I1_J,axiom,
% 15.61/15.71 ! [A] :
% 15.61/15.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))
% 15.61/15.71 <=> hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1115_transfer__int__nat__numerals_I2_J,axiom,
% 15.61/15.71 one_one_int = hAPP_nat_int(semiri1621563631at_int,one_one_nat) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1116_transfer__int__nat__numerals_I1_J,axiom,
% 15.61/15.71 zero_zero_int = hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1117_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 15.61/15.71 ! [Pa] : collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),Pa)) = image_nat_int(semiri1621563631at_int,collect_nat(cOMBB_int_bool_nat(Pa,semiri1621563631at_int))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1118_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 15.61/15.71 ! [Z] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z))) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1119_transfer__int__nat__quantifiers_I2_J,axiom,
% 15.61/15.71 ! [Pa] :
% 15.61/15.71 ( ? [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2))
% 15.61/15.71 & hBOOL(hAPP_int_bool(Pa,X_2)) )
% 15.61/15.71 <=> ? [X_2] : hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X_2))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1120_transfer__int__nat__quantifiers_I1_J,axiom,
% 15.61/15.71 ! [Pa] :
% 15.61/15.71 ( ! [X_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2))
% 15.61/15.71 => hBOOL(hAPP_int_bool(Pa,X_2)) )
% 15.61/15.71 <=> ! [X_2] : hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X_2))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1121_int__le__0__conv,axiom,
% 15.61/15.71 ! [Na] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))
% 15.61/15.71 <=> Na = zero_zero_nat ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1122_int__Suc0__eq__1,axiom,
% 15.61/15.71 hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat)) = one_one_int ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1123_zless__iff__Suc__zadd,axiom,
% 15.61/15.71 ! [W_1,Z_2] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))
% 15.61/15.71 <=> ? [N_1] : Z_2 = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1124_int__Suc,axiom,
% 15.61/15.71 ! [M_1] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M_1)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,M_1)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1125_zdiff__int,axiom,
% 15.61/15.71 ! [N,M_1] :
% 15.61/15.71 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1))
% 15.61/15.71 => hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1126_zero__less__int__conv,axiom,
% 15.61/15.71 ! [Na] :
% 15.61/15.71 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))
% 15.61/15.71 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_1127_zmult__zless__mono2__lemma,axiom,
% 15.61/15.72 ! [K_1,I_1,J] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))
% 15.61/15.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))
% 15.61/15.72 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,K_1)),I_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,K_1)),J))) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1128_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 15.61/15.72 ! [Y,X] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 15.61/15.72 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y))
% 15.61/15.72 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y))) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1129_zdiff__int__split,axiom,
% 15.61/15.72 ! [Pa,X_1,Y_1] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))))
% 15.61/15.72 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_1),X_1))
% 15.61/15.72 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))) )
% 15.61/15.72 & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))
% 15.61/15.72 => hBOOL(hAPP_int_bool(Pa,zero_zero_int)) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1130_tsub__eq,axiom,
% 15.61/15.72 ! [Y,X] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y),X))
% 15.61/15.72 => hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1131_zero__less__imp__eq__int,axiom,
% 15.61/15.72 ! [K_1] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))
% 15.61/15.72 => ? [N_1] :
% 15.61/15.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))
% 15.61/15.72 & K_1 = hAPP_nat_int(semiri1621563631at_int,N_1) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1132_int__int__eq,axiom,
% 15.61/15.72 ! [M,Na] :
% 15.61/15.72 ( hAPP_nat_int(semiri1621563631at_int,M) = hAPP_nat_int(semiri1621563631at_int,Na)
% 15.61/15.72 <=> M = Na ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1133_transfer__nat__int__set__relations_I4_J,axiom,
% 15.61/15.72 ! [A,B] :
% 15.61/15.72 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))
% 15.61/15.72 <=> hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,image_nat_int(semiri1621563631at_int,A)),image_nat_int(semiri1621563631at_int,B))) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1134_transfer__nat__int__set__relations_I5_J,axiom,
% 15.61/15.72 ! [A,B] :
% 15.61/15.72 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))
% 15.61/15.72 <=> hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(semiri1621563631at_int,A)),image_nat_int(semiri1621563631at_int,B))) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1135_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 15.61/15.72 bot_bot_fun_int_bool = image_nat_int(semiri1621563631at_int,bot_bot_fun_nat_bool) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1136_transfer__nat__int__set__relations_I3_J,axiom,
% 15.61/15.72 ! [A,B] :
% 15.61/15.72 ( A = B
% 15.61/15.72 <=> image_nat_int(semiri1621563631at_int,A) = image_nat_int(semiri1621563631at_int,B) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1137_transfer__nat__int__set__relations_I2_J,axiom,
% 15.61/15.72 ! [X_1,A] :
% 15.61/15.72 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))
% 15.61/15.72 <=> hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(semiri1621563631at_int,X_1)),image_nat_int(semiri1621563631at_int,A))) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1138_int__if__cong,axiom,
% 15.61/15.72 ! [X_1,Y_1,Pa] :
% 15.61/15.72 ( ( hBOOL(Pa)
% 15.61/15.72 => hAPP_nat_int(semiri1621563631at_int,X_1) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(Pa),X_1),Y_1)) )
% 15.61/15.72 & ( ~ hBOOL(Pa)
% 15.61/15.72 => hAPP_nat_int(semiri1621563631at_int,Y_1) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(Pa),X_1),Y_1)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1139_transfer__int__nat__relations_I1_J,axiom,
% 15.61/15.72 ! [X_1,Y_1] :
% 15.61/15.72 ( hAPP_nat_int(semiri1621563631at_int,X_1) = hAPP_nat_int(semiri1621563631at_int,Y_1)
% 15.61/15.72 <=> X_1 = Y_1 ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1140_nonneg__int__cases,axiom,
% 15.61/15.72 ! [K_1] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K_1))
% 15.61/15.72 => ~ ! [N_1] : K_1 != hAPP_nat_int(semiri1621563631at_int,N_1) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1141_nonneg__eq__int,axiom,
% 15.61/15.72 ! [Z] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 15.61/15.72 => ~ ! [M_2] : Z != hAPP_nat_int(semiri1621563631at_int,M_2) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1142_zero__le__imp__eq__int,axiom,
% 15.61/15.72 ! [K_1] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K_1))
% 15.61/15.72 => ? [N_1] : K_1 = hAPP_nat_int(semiri1621563631at_int,N_1) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1143_int__diff__cases,axiom,
% 15.61/15.72 ! [Z] :
% 15.61/15.72 ~ ! [M_2,N_1] : Z != hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_2)),hAPP_nat_int(semiri1621563631at_int,N_1)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1144_decr__lemma,axiom,
% 15.61/15.72 ! [X,Z,D] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))
% 15.61/15.72 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Z))),one_one_int)),D))),Z)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1145_zabs__less__one__iff,axiom,
% 15.61/15.72 ! [Z_2] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_2)),one_one_int))
% 15.61/15.72 <=> Z_2 = zero_zero_int ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1146_neg__def,axiom,
% 15.61/15.72 ! [Z_1] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(nat_neg,Z_1))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1147_not__neg__eq__ge__0,axiom,
% 15.61/15.72 ! [X_1] :
% 15.61/15.72 ( ~ hBOOL(hAPP_int_bool(nat_neg,X_1))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1148_not__neg__1,axiom,
% 15.61/15.72 ~ hBOOL(hAPP_int_bool(nat_neg,one_one_int)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1149_not__neg__0,axiom,
% 15.61/15.72 ~ hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1150_abs__zmult__eq__1,axiom,
% 15.61/15.72 ! [M_1,N] :
% 15.61/15.72 ( abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N)) = one_one_int
% 15.61/15.72 => abs_abs_int(M_1) = one_one_int ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1151_not__neg__int,axiom,
% 15.61/15.72 ! [N] : ~ hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N))) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1152_abs__int__eq,axiom,
% 15.61/15.72 ! [M_1] : abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M_1)) = hAPP_nat_int(semiri1621563631at_int,M_1) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1153_neg__imp__number__of__eq__0,axiom,
% 15.61/15.72 ! [V] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => number_number_of_nat(V) = zero_zero_nat ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1154_eq__nat__number__of,axiom,
% 15.61/15.72 ! [V_3,V_2] :
% 15.61/15.72 ( number_number_of_nat(V_3) = number_number_of_nat(V_2)
% 15.61/15.72 <=> ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))
% 15.61/15.72 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(V_2)),zero_zero_int)) )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))
% 15.61/15.72 => ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))
% 15.61/15.72 => number_number_of_int(V_3) = zero_zero_int )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))
% 15.61/15.72 => V_3 = V_2 ) ) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1155_nat__number__of__add__left,axiom,
% 15.61/15.72 ! [V_1,K_1,V] :
% 15.61/15.72 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1) )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))
% 15.61/15.72 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),K_1) )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))
% 15.61/15.72 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),V_1))),K_1) ) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1156_int__nat__number__of,axiom,
% 15.61/15.72 ! [V] :
% 15.61/15.72 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V)) = zero_zero_int )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V)) = number_number_of_int(V) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1157_incr__lemma,axiom,
% 15.61/15.72 ! [Z,X,D] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))
% 15.61/15.72 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Z))),one_one_int)),D)))) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1158_int__val__lemma,axiom,
% 15.61/15.72 ! [K,F,Na] :
% 15.61/15.72 ( ! [I] :
% 15.61/15.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))
% 15.61/15.72 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int)) )
% 15.61/15.72 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,zero_zero_nat)),K))
% 15.61/15.72 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),hAPP_nat_int(F,Na)))
% 15.61/15.72 => ? [I] :
% 15.61/15.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),Na))
% 15.61/15.72 & hAPP_nat_int(F,I) = K ) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1159_nat0__intermed__int__val,axiom,
% 15.61/15.72 ! [K,F,Na] :
% 15.61/15.72 ( ! [I] :
% 15.61/15.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))
% 15.61/15.72 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int)) )
% 15.61/15.72 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,zero_zero_nat)),K))
% 15.61/15.72 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),hAPP_nat_int(F,Na)))
% 15.61/15.72 => ? [I] :
% 15.61/15.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),Na))
% 15.61/15.72 & hAPP_nat_int(F,I) = K ) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1160_nat__intermed__int__val,axiom,
% 15.61/15.72 ! [K,F,Na,M] :
% 15.61/15.72 ( ! [I] :
% 15.61/15.72 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),I))
% 15.61/15.72 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na)) )
% 15.61/15.72 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int)) )
% 15.61/15.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))
% 15.61/15.72 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,M)),K))
% 15.61/15.72 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),hAPP_nat_int(F,Na)))
% 15.61/15.72 => ? [I] :
% 15.61/15.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),I))
% 15.61/15.72 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),Na))
% 15.61/15.72 & hAPP_nat_int(F,I) = K ) ) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1161_Suc__nat__number__of__add,axiom,
% 15.61/15.72 ! [N,V] :
% 15.61/15.72 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N) )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(succ(V))),N) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1162_succ__def,axiom,
% 15.61/15.72 ! [K_1] : succ(K_1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1163_Suc__nat__number__of,axiom,
% 15.61/15.72 ! [V] :
% 15.61/15.72 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => hAPP_nat_nat(suc,number_number_of_nat(V)) = one_one_nat )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))
% 15.61/15.72 => hAPP_nat_nat(suc,number_number_of_nat(V)) = number_number_of_nat(succ(V)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1164_nat__number__of__Bit1,axiom,
% 15.61/15.72 ! [W] :
% 15.61/15.72 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W)))
% 15.61/15.72 => number_number_of_nat(bit1(W)) = zero_zero_nat )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W)))
% 15.61/15.72 => number_number_of_nat(bit1(W)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(W)),number_number_of_nat(W))) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1165_nat__1__add__number__of,axiom,
% 15.61/15.72 ! [V] :
% 15.61/15.72 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))
% 15.61/15.72 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),number_number_of_nat(V)) = one_one_nat )
% 15.61/15.72 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))
% 15.61/15.72 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),number_number_of_nat(V)) = number_number_of_nat(succ(V)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1166_succ__Pls,axiom,
% 15.61/15.72 succ(pls) = bit1(pls) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1167_neg__number__of__Bit1,axiom,
% 15.61/15.72 ! [W_1] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(bit1(W_1))))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W_1))) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1168_not__neg__number__of__Pls,axiom,
% 15.61/15.72 ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pls))) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1169_transfer__int__nat__numerals_I4_J,axiom,
% 15.61/15.72 number_number_of_int(bit1(bit1(pls))) = hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1170_numeral__1__eq__Suc__0,axiom,
% 15.61/15.72 number_number_of_nat(bit1(pls)) = hAPP_nat_nat(suc,zero_zero_nat) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1171_numeral__3__eq__3,axiom,
% 15.61/15.72 number_number_of_nat(bit1(bit1(pls))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1172_Suc3__eq__add__3,axiom,
% 15.61/15.72 ! [N] : hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(bit1(bit1(pls)))),N) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1173_Numeral1__eq1__nat,axiom,
% 15.61/15.72 one_one_nat = number_number_of_nat(bit1(pls)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1174_nat__numeral__1__eq__1,axiom,
% 15.61/15.72 number_number_of_nat(bit1(pls)) = one_one_nat ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1175_one__is__num__one,axiom,
% 15.61/15.72 one_one_int = number_number_of_int(bit1(pls)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1176_zero__is__num__zero,axiom,
% 15.61/15.72 zero_zero_int = number_number_of_int(pls) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1177_Bit1__def,axiom,
% 15.61/15.72 ! [K_1] : bit1(K_1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_1)),K_1) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1178_nat__number__of__Pls,axiom,
% 15.61/15.72 number_number_of_nat(pls) = zero_zero_nat ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1179_semiring__norm_I113_J,axiom,
% 15.61/15.72 zero_zero_nat = number_number_of_nat(pls) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1180_Pls__def,axiom,
% 15.61/15.72 pls = zero_zero_int ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1181_rel__simps_I51_J,axiom,
% 15.61/15.72 ! [K,L] :
% 15.61/15.72 ( bit1(K) = bit1(L)
% 15.61/15.72 <=> K = L ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1182_rel__simps_I46_J,axiom,
% 15.61/15.72 ! [K_1] : bit1(K_1) != pls ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1183_rel__simps_I39_J,axiom,
% 15.61/15.72 ! [L_1] : pls != bit1(L_1) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1184_diff__bin__simps_I1_J,axiom,
% 15.61/15.72 ! [K_1] : hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),pls) = K_1 ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1185_add__Pls,axiom,
% 15.61/15.72 ! [K_1] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_1) = K_1 ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1186_add__Pls__right,axiom,
% 15.61/15.72 ! [K_1] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),pls) = K_1 ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1187_mult__Pls,axiom,
% 15.61/15.72 ! [W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W) = pls ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1188_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 15.61/15.72 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1189_rel__simps_I19_J,axiom,
% 15.61/15.72 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1190_rel__simps_I22_J,axiom,
% 15.61/15.72 ! [K] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(K)))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1191_rel__simps_I34_J,axiom,
% 15.61/15.72 ! [K,L] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),bit1(L)))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1192_less__eq__int__code_I16_J,axiom,
% 15.61/15.72 ! [K1,K2] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K1)),bit1(K2)))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1193_rel__simps_I2_J,axiom,
% 15.61/15.72 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1194_rel__simps_I12_J,axiom,
% 15.61/15.72 ! [K] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1195_rel__simps_I17_J,axiom,
% 15.61/15.72 ! [K,L] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L)))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1196_less__int__code_I16_J,axiom,
% 15.61/15.72 ! [K1,K2] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1197_rel__simps_I29_J,axiom,
% 15.61/15.72 ! [K] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),pls))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_1198_rel__simps_I5_J,axiom,
% 15.61/15.72 ! [K] :
% 15.61/15.72 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K)))
% 15.61/15.72 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ).
% 15.61/15.72
% 15.61/15.72 %----Helper facts (103)
% 15.61/15.72 fof(help_fNot_1_1_U,axiom,
% 15.61/15.72 ! [P] :
% 15.61/15.72 ( ~ hBOOL(hAPP_bool_bool(fNot,P))
% 15.61/15.72 | ~ hBOOL(P) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fNot_2_1_U,axiom,
% 15.61/15.72 ! [P] :
% 15.61/15.72 ( hBOOL(P)
% 15.61/15.72 | hBOOL(hAPP_bool_bool(fNot,P)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fconj_1_1_U,axiom,
% 15.61/15.72 ! [Q,P] :
% 15.61/15.72 ( ~ hBOOL(P)
% 15.61/15.72 | ~ hBOOL(Q)
% 15.61/15.72 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fconj_2_1_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 15.61/15.72 | hBOOL(P) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fconj_3_1_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 15.61/15.72 | hBOOL(Q) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fdisj_1_1_U,axiom,
% 15.61/15.72 ! [Q,P] :
% 15.61/15.72 ( ~ hBOOL(P)
% 15.61/15.72 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fdisj_2_1_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( ~ hBOOL(Q)
% 15.61/15.72 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fdisj_3_1_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
% 15.61/15.72 | hBOOL(P)
% 15.61/15.72 | hBOOL(Q) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fFalse_1_1_U,axiom,
% 15.61/15.72 ~ hBOOL(fFalse) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fFalse_1_1_T,axiom,
% 15.61/15.72 ! [P] :
% 15.61/15.72 ( is_bool(P)
% 15.61/15.72 => ( P = fTrue
% 15.61/15.72 | P = fFalse ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fimplies_1_1_U,axiom,
% 15.61/15.72 ! [Q,P] :
% 15.61/15.72 ( hBOOL(P)
% 15.61/15.72 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fimplies_2_1_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( ~ hBOOL(Q)
% 15.61/15.72 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fimplies_3_1_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))
% 15.61/15.72 | ~ hBOOL(P)
% 15.61/15.72 | hBOOL(Q) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_1_1_fequal_000t__a_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( ( is_a(X)
% 15.61/15.72 & is_a(Y) )
% 15.61/15.72 => ( ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X),Y))
% 15.61/15.72 | X = Y ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_2_1_fequal_000t__a_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( X != Y
% 15.61/15.72 | hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X),Y)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_If_1_1_If_000tc__Nat__Onat_T,axiom,
% 15.61/15.72 ! [X,Y] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(fTrue),X),Y) = X ).
% 15.61/15.72
% 15.61/15.72 fof(help_If_2_1_If_000tc__Nat__Onat_T,axiom,
% 15.61/15.72 ! [X,Y] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(fFalse),X),Y) = Y ).
% 15.61/15.72
% 15.61/15.72 fof(help_If_3_1_If_000tc__Nat__Onat_T,axiom,
% 15.61/15.72 ! [P] :
% 15.61/15.72 ( is_bool(P)
% 15.61/15.72 => ( P = fTrue
% 15.61/15.72 | P = fFalse ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBI_1_1_COMBI_000tc__Nat__Onat_U,axiom,
% 15.61/15.72 ! [P] : hAPP_nat_nat(cOMBI_nat,P) = P ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_1_1_fequal_000tc__Int__Oint_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fequal_int,X),Y))
% 15.61/15.72 | X = Y ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_2_1_fequal_000tc__Int__Oint_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( X != Y
% 15.61/15.72 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fequal_int,X),Y)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y))
% 15.61/15.72 | X = Y ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( X != Y
% 15.61/15.72 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_1_1_fequal_000tc__Com__Opname_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( ( is_pname(X)
% 15.61/15.72 & is_pname(Y) )
% 15.61/15.72 => ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y))
% 15.61/15.72 | X = Y ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_2_1_fequal_000tc__Com__Opname_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( X != Y
% 15.61/15.72 | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000t__a_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( is_bool(P)
% 15.61/15.72 => hAPP_a_bool(cOMBK_bool_a(P),Q) = P ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBK_1_1_COMBK_000t__a_000tc__Com__Opname_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( is_a(P)
% 15.61/15.72 => hAPP_pname_a(cOMBK_a_pname(P),Q) = P ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(P),Q),R) = hAPP_a_bool(hAPP_a_fun_a_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBK_1_1_COMBK_000tc__Int__Oint_000tc__Nat__Onat_U,axiom,
% 15.61/15.72 ! [P,Q] : hAPP_nat_int(cOMBK_int_nat(P),Q) = P ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Int__Oint_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( is_bool(P)
% 15.61/15.72 => hAPP_int_bool(cOMBK_bool_int(P),Q) = P ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
% 15.61/15.72 ! [P,Q] :
% 15.61/15.72 ( is_bool(P)
% 15.61/15.72 => hAPP_nat_bool(cOMBK_bool_nat(P),Q) = P ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( ( is_fun_a_bool(X)
% 15.61/15.72 & is_fun_a_bool(Y) )
% 15.61/15.72 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X),Y))
% 15.61/15.72 | X = Y ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( X != Y
% 15.61/15.72 | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X),Y)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000t__a_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(hAPP_a_fun_int_bool(cOMBC_int_a_bool(P),Q),R) = hAPP_a_bool(hAPP_int_fun_a_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_a_bool(cOMBB_bool_bool_a(P,Q),R) = hAPP_bool_bool(P,hAPP_a_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_a_bool(cOMBS_a_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_a_fun_bool_bool(P,R),hAPP_a_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(P),Q),R) = hAPP_a_bool(hAPP_p1534023578a_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(fequal_fun_int_bool,X),Y))
% 15.61/15.72 | X = Y ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( X != Y
% 15.61/15.72 | hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(fequal_fun_int_bool,X),Y)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X),Y))
% 15.61/15.72 | X = Y ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( X != Y
% 15.61/15.72 | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X),Y)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( ( is_fun_pname_bool(X)
% 15.61/15.72 & is_fun_pname_bool(Y) )
% 15.61/15.72 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y))
% 15.61/15.72 | X = Y ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
% 15.61/15.72 ! [X,Y] :
% 15.61/15.72 ( X != Y
% 15.61/15.72 | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__Int__Oint_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(cOMBB_int_bool_nat(P,Q),R) = hAPP_int_bool(P,hAPP_nat_int(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(hAPP_i1948725293t_bool(cOMBC_int_int_bool(P),Q),R) = hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Int__Oint_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(hAPP_i418383825t_bool(cOMBC_nat_int_bool(P),Q),R) = hAPP_int_bool(hAPP_n1082236369t_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(P),Q),R) = hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Int__Oint_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(cOMBB_bool_bool_int(P,Q),R) = hAPP_bool_bool(P,hAPP_int_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R) = hAPP_bool_bool(P,hAPP_nat_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBS_1_1_COMBS_000tc__Int__Oint_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(cOMBS_int_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_i68813070l_bool(P,R),hAPP_int_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [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)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R) = hAPP_bool_bool(P,hAPP_pname_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_pname_bool(cOMBS_568398431l_bool(P,Q),R) = hAPP_bool_bool(hAPP_p393069232l_bool(P,R),hAPP_pname_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(P),Q),R) = hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Int__Oint,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_fun_a_bool(cOMBB_375279840ol_int(P,Q),R) = hAPP_a_fun_a_bool(P,hAPP_int_a(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t__,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_a_bool(cOMBB_1273333599bool_a(P,Q),R) = hAPP_fun_a_bool_bool(P,hAPP_a_fun_a_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_p1534023578a_bool(cOMBB_1897541054_pname(P,Q),R) = hAPP_a_fun_a_bool(P,hAPP_pname_a(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(hAPP_f1812805200t_bool(cOMBC_1753430397l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_i888906320l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_a_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f198738859l_bool(P,R),hAPP_fun_a_bool_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__Int__Oint_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n1082236369t_bool(cOMBB_1628441366ol_nat(P,Q),R) = hAPP_i1948725293t_bool(P,hAPP_nat_int(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_a_fun_a_bool(hAPP_f1038053735a_bool(cOMBC_394484100a_bool(P),Q),R) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(cOMBB_1418110531ol_int(P,Q),R) = hAPP_f448129468l_bool(P,hAPP_i1948725293t_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(cOMBB_955900739ol_nat(P,Q),R) = hAPP_f54304608l_bool(P,hAPP_n1699378549t_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(hAPP_f1805168059t_bool(cOMBC_94739984l_bool(P),Q),R) = hAPP_f448129468l_bool(hAPP_i2112223885l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(hAPP_f183368031t_bool(cOMBC_1848398772l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_i1718399025l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(hAPP_f274826591t_bool(cOMBC_620423604l_bool(P),Q),R) = hAPP_f448129468l_bool(hAPP_n609083369l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_003,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_i68813070l_bool(cOMBB_1652995168ol_int(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_int_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_004,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f448129468l_bool(cOMBS_1912792529l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f1721100032l_bool(P,R),hAPP_f448129468l_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f54304608l_bool(cOMBS_1187019125l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f1748468828l_bool(P,R),hAPP_f54304608l_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_int_bool(hAPP_f449020825t_bool(cOMBC_316919022l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_i1587699435l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_n850744903l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_005,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f1664156314l_bool(cOMBS_350070575l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f1476298914l_bool(P,R),hAPP_f1664156314l_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f198738859l_bool(cOMBB_338059395a_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_fun_a_bool_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HO,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n215258509l_bool(cOMBB_1146692694ol_nat(P,Q),R) = hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool__007,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_i1948725293t_bool(hAPP_f1048215610t_bool(cOMBC_1683390479t_bool(P),Q),R) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__008,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBC_178881787t_bool(P),Q),R) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f448129468l_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(P),Q),R) = hAPP_f448129468l_bool(hAPP_f284875647l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_f103356543l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f1721100032l_bool(cOMBB_1974511970t_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f448129468l_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f1748468828l_bool(cOMBB_444170502t_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f54304608l_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_i888906320l_bool(cOMBB_313729068ol_int(P,Q),R) = hAPP_f1631501043l_bool(P,hAPP_int_fun_a_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___012,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(P,Q),R) = hAPP_f1631501043l_bool(P,hAPP_nat_fun_a_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_i2112223885l_bool(cOMBB_1761098400ol_int(P,Q),R) = hAPP_f284875647l_bool(P,hAPP_i1948725293t_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__fun_Itc__013,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n609083369l_bool(cOMBB_1123824708ol_nat(P,Q),R) = hAPP_f284875647l_bool(P,hAPP_n1082236369t_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_i1718399025l_bool(cOMBB_516767136ol_int(P,Q),R) = hAPP_f103356543l_bool(P,hAPP_i418383825t_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__014,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(P,Q),R) = hAPP_f103356543l_bool(P,hAPP_n1699378549t_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_i1587699435l_bool(cOMBB_607112096ol_int(P,Q),R) = hAPP_f434788991l_bool(P,hAPP_i7355787e_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_015,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(P,Q),R) = hAPP_f434788991l_bool(P,hAPP_n1025906991e_bool(Q,R)) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(P),Q),R) = hAPP_f621171935l_bool(hAPP_f1434722111l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_Mtc__H,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f215623910l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(P),Q),R) = hAPP_f215623910l_bool(hAPP_f317860125l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(P),Q),R) = hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 15.61/15.72 ! [P,Q,R] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(P),Q),R) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q) ).
% 15.61/15.72
% 15.61/15.72 %----Conjectures (7)
% 15.61/15.72 fof(conj_0,hypothesis,
% 15.61/15.72 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)) ).
% 15.61/15.72
% 15.61/15.72 fof(conj_1,hypothesis,
% 15.61/15.72 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ).
% 15.61/15.72
% 15.61/15.72 fof(conj_2,hypothesis,
% 15.61/15.72 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,na)),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)))) ).
% 15.61/15.72
% 15.61/15.72 fof(conj_3,hypothesis,
% 15.61/15.72 hAPP_fun_a_bool_nat(finite_card_a,g) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)) ).
% 15.61/15.72
% 15.61/15.72 fof(conj_4,hypothesis,
% 15.61/15.72 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)) ).
% 15.61/15.72
% 15.61/15.72 fof(conj_5,hypothesis,
% 15.61/15.72 ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)) ).
% 15.61/15.72
% 15.61/15.72 fof(conj_6,conjecture,
% 15.61/15.72 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))) ).
% 15.61/15.72
% 15.61/15.72 %------------------------------------------------------------------------------
% 15.61/15.72 %-------------------------------------------
% 15.61/15.72 % Proof found
% 15.61/15.72 % SZS status Theorem for theBenchmark
% 15.61/15.72 % SZS output start Proof
% 15.61/15.72 %ClaNum:3070(EqnAxiom:983)
% 15.61/15.72 %VarNum:10052(SingletonVarNum:3963)
% 15.61/15.72 %MaxLitNum:7
% 15.61/15.72 %MaxfuncDepth:10
% 15.61/15.72 %SharedTerms:285
% 15.61/15.72 %goalClause: 1359
% 15.61/15.72 %singleGoalClaCount:1
% 15.61/15.72 [984]E(a1,a2)
% 15.61/15.72 [986]E(a11,a12)
% 15.61/15.72 [991]P1(a4)
% 15.61/15.72 [992]P1(a317)
% 15.61/15.72 [993]P7(a5)
% 15.61/15.72 [994]P7(a565)
% 15.61/15.72 [995]P2(a318)
% 15.61/15.72 [996]P3(a9)
% 15.61/15.72 [997]P3(a13)
% 15.61/15.72 [998]P3(a319)
% 15.61/15.72 [999]P6(a355)
% 15.61/15.72 [1000]P8(a566)
% 15.61/15.72 [1317]~E(a548,a11)
% 15.61/15.72 [1318]~P5(a13)
% 15.61/15.72 [987]E(f14(a13),a3)
% 15.61/15.72 [988]E(f75(a13),a10)
% 15.61/15.72 [990]E(f316(a12),a1)
% 15.61/15.72 [1002]P4(f582(a581))
% 15.61/15.72 [1003]P8(f586(a569))
% 15.61/15.72 [1007]E(f362(a571,a1),a547)
% 15.61/15.72 [1010]E(f363(a570,a547),a548)
% 15.61/15.72 [1011]E(f363(a570,a1),a11)
% 15.61/15.72 [1016]P5(f364(a318,a4))
% 15.61/15.72 [1017]P5(f365(a355,a5))
% 15.61/15.72 [1018]P5(f365(a355,a565))
% 15.61/15.72 [1019]P5(f394(a356,a3))
% 15.61/15.72 [1020]P5(f420(a357,a10))
% 15.61/15.72 [1327]~P5(f449(a546,a548))
% 15.61/15.72 [1328]~P5(f449(a546,a11))
% 15.61/15.72 [1329]~P5(f449(a546,a12))
% 15.61/15.72 [1001]E(f76(f15(a13)),a4)
% 15.61/15.72 [1060]E(f363(a570,f362(a571,a1)),a548)
% 15.61/15.72 [1096]P1(f587(f359(a581,a7)))
% 15.61/15.72 [1097]P7(f583(f359(a569,a7)))
% 15.61/15.72 [1102]P5(f449(f443(a551,a11),a548))
% 15.61/15.72 [1105]P5(f449(f443(a563,a11),a548))
% 15.61/15.72 [1106]P5(f365(f471(a526,a566),a565))
% 15.61/15.72 [1204]P5(f364(f392(a552,a317),f514(a537,a565)))
% 15.61/15.72 [1239]E(f362(f464(a540,f442(a353,f514(a537,a565))),f362(a571,a543)),f442(a353,a317))
% 15.61/15.72 [1336]~P5(f449(f443(a563,a12),a12))
% 15.61/15.72 [1359]~P5(f364(f392(a552,f401(f369(a518,f475(a537,a566)),a317)),f514(a537,a565)))
% 15.61/15.72 [1210]P2(f584(f359(f359(a581,a7),a7)))
% 15.61/15.72 [1211]P6(f585(f359(f359(a569,a7),a7)))
% 15.61/15.72 [1261]P5(f458(f460(a550,f362(a571,a543)),f442(a353,f514(a537,a565))))
% 15.61/15.72 [1351]~P5(f364(f372(a530,f475(a537,a566)),a317))
% 15.61/15.72 [1220]E(f454(f453(a568,f454(f453(a568,a548),a12)),a12),a548)
% 15.61/15.72 [1240]E(f454(f453(a568,f454(f453(a568,a548),a12)),a12),f454(f453(a568,a12),a548))
% 15.61/15.72 [1280]E(f316(f454(f453(a568,f454(f453(a568,a548),a12)),a12)),a547)
% 15.61/15.72 [1281]E(f316(f454(f453(a568,f454(f453(a568,a548),a12)),a12)),f362(a571,a1))
% 15.61/15.72 [1313]E(f316(f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f362(a571,f362(a571,f362(a571,a1))))
% 15.61/15.72 [1314]P5(f449(f443(a551,a11),f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12))))
% 15.61/15.72 [1315]E(f363(a570,f316(f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12)))),f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12)))
% 15.61/15.72 [1004]P3(f588(x10041))
% 15.61/15.72 [1005]P4(f360(x10051))
% 15.61/15.72 [1012]E(f514(x10121,a5),a4)
% 15.61/15.72 [1013]E(f361(x10131,a10),a3)
% 15.61/15.72 [1014]E(f362(a16,x10141),x10141)
% 15.61/15.72 [1324]~E(f362(a571,x13241),a1)
% 15.61/15.72 [1326]~E(f362(a571,x13261),x13261)
% 15.61/15.72 [1061]E(f401(f396(a535,a4),x10611),a4)
% 15.61/15.72 [1062]E(f425(f397(a539,a10),x10621),a10)
% 15.61/15.72 [1063]E(f402(f368(a536,a3),x10631),a3)
% 15.61/15.72 [1064]E(f362(f464(a540,a1),x10641),a1)
% 15.61/15.72 [1065]E(f362(f464(a572,a1),x10651),a1)
% 15.61/15.72 [1066]E(f454(f453(a573,a12),x10661),a12)
% 15.61/15.72 [1067]E(f362(f464(a567,a1),x10671),x10671)
% 15.61/15.72 [1068]E(f362(f464(a572,a547),x10681),x10681)
% 15.61/15.72 [1069]E(f454(f453(a568,a11),x10691),x10691)
% 15.61/15.72 [1070]E(f454(f453(a568,a12),x10701),x10701)
% 15.61/15.72 [1071]E(f454(f453(a573,a548),x10711),x10711)
% 15.61/15.72 [1072]E(f362(f464(a572,x10721),a1),a1)
% 15.61/15.72 [1073]E(f425(f397(a539,x10731),a10),x10731)
% 15.61/15.72 [1074]E(f402(f368(a536,x10741),a3),x10741)
% 15.61/15.72 [1075]E(f362(f464(a540,x10751),a1),x10751)
% 15.61/15.72 [1076]E(f362(f464(a567,x10761),a1),x10761)
% 15.61/15.72 [1077]E(f362(f464(a572,x10771),a547),x10771)
% 15.61/15.72 [1078]E(f454(f453(a541,x10781),a12),x10781)
% 15.61/15.72 [1079]E(f454(f453(a568,x10791),a11),x10791)
% 15.61/15.72 [1080]E(f454(f453(a568,x10801),a12),x10801)
% 15.61/15.72 [1081]E(f454(f453(a573,x10811),a548),x10811)
% 15.61/15.72 [1082]E(f401(f396(a535,x10821),x10821),a4)
% 15.61/15.72 [1083]E(f425(f397(a539,x10831),x10831),a10)
% 15.61/15.72 [1084]E(f402(f368(a536,x10841),x10841),a3)
% 15.61/15.72 [1085]E(f362(f464(a540,x10851),x10851),a1)
% 15.61/15.72 [1086]E(f6(f363(a570,x10861)),f363(a570,x10861))
% 15.61/15.72 [1088]E(f362(f464(a567,a547),x10881),f362(a571,x10881))
% 15.61/15.72 [1091]E(f460(a550,f362(a571,x10911)),f460(a549,x10911))
% 15.61/15.72 [1092]E(f436(a352,f361(a570,x10921)),f412(a351,x10921))
% 15.61/15.72 [1093]E(f425(f461(a516,x10931),a10),f460(a322,x10931))
% 15.61/15.72 [1094]E(f362(f464(a567,x10941),a547),f362(a571,x10941))
% 15.61/15.72 [1095]E(f402(f441(a517,x10951),a3),f443(a323,x10951))
% 15.61/15.72 [1098]E(f425(f461(a516,x10981),a10),f460(f17(a322),x10981))
% 15.61/15.72 [1099]E(f402(f441(a517,x10991),a3),f443(f18(a323),x10991))
% 15.61/15.72 [1101]E(f401(f369(a518,x11011),a4),f76(f370(a324,x11011)))
% 15.61/15.72 [1107]P5(f458(f460(a550,a2),x11071))
% 15.61/15.72 [1109]P5(f458(f460(a550,a1),x11091))
% 15.61/15.72 [1111]P5(f364(f392(a552,a4),x11111))
% 15.61/15.72 [1113]P5(f394(f413(a553,a3),x11131))
% 15.61/15.72 [1115]P5(f420(f376(a554,a10),x11151))
% 15.61/15.72 [1122]P5(f449(f443(a551,x11221),x11221))
% 15.61/15.72 [1124]P5(f458(f460(a550,x11241),x11241))
% 15.61/15.72 [1126]P5(f364(f392(a552,x11261),x11261))
% 15.61/15.72 [1128]P5(f394(f413(a553,x11281),x11281))
% 15.61/15.72 [1130]P5(f420(f376(a554,x11301),x11301))
% 15.61/15.72 [1194]E(f454(f453(a568,a548),f363(a570,x11941)),f363(a570,f362(a571,x11941)))
% 15.61/15.72 [1207]P5(f449(f443(a551,a11),f363(a570,x12071)))
% 15.61/15.72 [1208]P5(f458(f460(a549,a1),f362(a571,x12081)))
% 15.61/15.72 [1209]P5(f458(f460(a549,x12091),f362(a571,x12091)))
% 15.61/15.72 [1337]~P5(f449(a546,f363(a570,x13371)))
% 15.61/15.72 [1340]~P5(f458(f460(a549,x13401),a1))
% 15.61/15.72 [1342]~P5(f364(f372(a530,x13421),a4))
% 15.61/15.72 [1344]~P5(f365(f471(a526,x13441),a5))
% 15.61/15.72 [1346]~P5(f394(f445(a528,x13461),a3))
% 15.61/15.72 [1348]~P5(f420(f462(a527,x13481),a10))
% 15.61/15.72 [1350]~P5(f458(f460(a549,x13501),x13501))
% 15.61/15.72 [1087]E(f412(a351,f460(f17(a549),x10871)),x10871)
% 15.61/15.72 [1100]E(f412(a351,f460(f17(a550),x11001)),f362(a571,x11001))
% 15.61/15.72 [1116]E(f76(f370(f19(a324),x11161)),f401(f369(a518,x11161),a4))
% 15.61/15.72 [1161]E(f412(a574,f425(f461(a516,x11611),a10)),x11611)
% 15.61/15.72 [1162]E(f393(a575,f402(f441(a517,x11621),a3)),x11621)
% 15.61/15.72 [1163]E(f362(f464(a540,f362(a571,x11631)),a547),x11631)
% 15.61/15.72 [1164]P5(f420(a357,f460(f17(a550),x11641)))
% 15.61/15.72 [1165]P5(f420(a357,f460(f17(a549),x11651)))
% 15.61/15.72 [1205]E(f84(f31(a325,f443(a551,a11)),x12051),f361(a570,f48(x12051,a570)))
% 15.61/15.72 [1214]E(f454(f453(a541,f363(a570,f91(x12141))),f363(a570,f222(x12141))),x12141)
% 15.61/15.72 [1248]P5(f458(f460(a550,x12481),f362(f464(a572,x12481),x12481)))
% 15.61/15.72 [1352]~P5(f449(f443(a563,f363(a570,x13521)),a11))
% 15.61/15.72 [1353]~P5(f458(f460(a550,f362(a571,x13531)),x13531))
% 15.61/15.72 [1217]E(f437(a576,f21(f392(a328,x12171),f381(f53(a518),a4))),f437(a577,x12171))
% 15.61/15.72 [1218]E(f412(a579,f43(f376(a329,x12181),f390(f59(a516),a10))),f412(a574,x12181))
% 15.61/15.72 [1219]E(f393(a580,f27(f413(a330,x12191),f383(f58(a517),a3))),f393(a575,x12191))
% 15.61/15.72 [1304]P5(f458(f460(a550,x13041),f362(f464(a572,x13041),f362(f464(a572,x13041),x13041))))
% 15.61/15.72 [1355]~E(f454(f453(a568,f454(f453(a568,a548),x13551)),x13551),a11)
% 15.61/15.72 [1356]~E(f454(f453(a568,f454(f453(a568,a548),x13561)),x13561),a12)
% 15.61/15.72 [1316]E(f362(f464(a567,f316(f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12)))),x13161),f362(a571,f362(a571,f362(a571,x13161))))
% 15.61/15.72 [1021]P1(f465(x10211,x10212))
% 15.61/15.72 [1022]P1(f510(x10221,x10222))
% 15.61/15.72 [1023]P1(f466(x10231,x10232))
% 15.61/15.72 [1024]P1(f509(x10241,x10242))
% 15.61/15.72 [1025]P1(f438(x10251,x10252))
% 15.61/15.72 [1026]P1(f451(x10261,x10262))
% 15.61/15.73 [1027]P7(f511(x10271,x10272))
% 15.61/15.73 [1028]P7(f515(x10281,x10282))
% 15.61/15.73 [1029]P7(f467(x10291,x10292))
% 15.61/15.73 [1030]P7(f468(x10301,x10302))
% 15.61/15.73 [1031]P7(f439(x10311,x10312))
% 15.61/15.73 [1032]P7(f452(x10321,x10322))
% 15.61/15.73 [1033]P2(f512(x10331,x10332))
% 15.61/15.73 [1034]P2(f513(x10341,x10342))
% 15.61/15.73 [1035]P2(f448(x10351,x10352))
% 15.61/15.73 [1036]P2(f456(x10361,x10362))
% 15.61/15.73 [1037]P3(f358(x10371,x10372))
% 15.61/15.73 [1038]P3(f321(x10381,x10382))
% 15.61/15.73 [1039]P3(f333(x10391,x10392))
% 15.61/15.73 [1040]P3(f339(x10401,x10402))
% 15.61/15.73 [1041]P3(f340(x10411,x10412))
% 15.61/15.73 [1042]P3(f342(x10421,x10422))
% 15.61/15.73 [1043]P3(f334(x10431,x10432))
% 15.61/15.73 [1044]P3(f343(x10441,x10442))
% 15.61/15.73 [1045]P3(f449(x10451,x10452))
% 15.61/15.73 [1046]P3(f458(x10461,x10462))
% 15.61/15.73 [1047]P3(f394(x10471,x10472))
% 15.61/15.73 [1048]P3(f420(x10481,x10482))
% 15.61/15.73 [1049]P3(f395(x10491,x10492))
% 15.61/15.73 [1050]P3(f366(x10501,x10502))
% 15.61/15.73 [1051]P3(f411(x10511,x10512))
% 15.61/15.73 [1052]P3(f417(x10521,x10522))
% 15.61/15.73 [1053]P3(f367(x10531,x10532))
% 15.61/15.73 [1054]P3(f424(x10541,x10542))
% 15.61/15.73 [1055]P6(f495(x10551,x10552))
% 15.61/15.73 [1056]P6(f469(x10561,x10562))
% 15.61/15.73 [1057]P6(f440(x10571,x10572))
% 15.61/15.73 [1058]P6(f459(x10581,x10582))
% 15.61/15.73 [1059]P4(f450(x10591,x10592))
% 15.61/15.73 [1015]E(f363(f77(x10151),x10152),x10151)
% 15.61/15.73 [1117]E(f362(f464(a567,x11171),x11172),f362(f464(a567,x11172),x11171))
% 15.61/15.73 [1118]E(f362(f464(a572,x11181),x11182),f362(f464(a572,x11182),x11181))
% 15.61/15.73 [1119]E(f454(f453(a568,x11191),x11192),f454(f453(a568,x11192),x11191))
% 15.61/15.73 [1120]E(f454(f453(a573,x11201),x11202),f454(f453(a573,x11202),x11201))
% 15.61/15.73 [1213]E(f362(f464(a540,f362(a571,x12131)),f362(a571,x12132)),f362(f464(a540,x12131),x12132))
% 15.61/15.73 [1296]P5(f458(f460(a549,f362(f464(a540,x12961),x12962)),f362(a571,x12961)))
% 15.61/15.73 [1333]~E(f401(f369(a518,x13331),x13332),a4)
% 15.61/15.73 [1334]~E(f425(f461(a516,x13341),x13342),a10)
% 15.61/15.73 [1335]~E(f402(f441(a517,x13351),x13352),a3)
% 15.61/15.73 [1089]E(f362(f464(f470(a13),x10891),x10892),x10892)
% 15.61/15.73 [1090]E(f362(f464(f470(a319),x10901),x10902),x10901)
% 15.61/15.73 [1203]E(f362(f464(a540,x12031),f362(f464(a567,x12031),x12032)),a1)
% 15.61/15.73 [1212]E(f362(f464(a567,f362(a571,x12121)),x12122),f362(f464(a567,x12121),f362(a571,x12122)))
% 15.61/15.73 [1215]E(f362(f464(a567,x12151),f362(a571,x12152)),f362(a571,f362(f464(a567,x12151),x12152)))
% 15.61/15.73 [1216]E(f401(f369(a518,x12161),f401(f369(a518,x12161),x12162)),f401(f369(a518,x12161),x12162))
% 15.61/15.73 [1221]E(f362(f542(a1,a16),f362(f464(a540,x12211),x12212)),f362(f464(a540,x12211),f362(a571,x12212)))
% 15.61/15.73 [1222]E(f362(f464(a567,f362(a571,x12221)),x12222),f362(a571,f362(f464(a567,x12221),x12222)))
% 15.61/15.73 [1223]E(f362(f464(a567,x12231),f362(f464(a572,x12231),x12232)),f362(f464(a572,x12231),f362(a571,x12232)))
% 15.61/15.73 [1225]E(f85(f23(a326,f460(f17(a322),x12251)),f425(f61(a527),x12252)),f425(f461(a516,x12251),x12252))
% 15.61/15.73 [1227]E(f84(f31(a326,f443(f18(a323),x12271)),f402(f66(a528),x12272)),f402(f441(a517,x12271),x12272))
% 15.61/15.73 [1234]E(f454(f453(a568,f363(a570,x12341)),f363(a570,x12342)),f363(a570,f362(f464(a567,x12341),x12342)))
% 15.61/15.73 [1236]E(f454(f453(a573,f363(a570,x12361)),f363(a570,x12362)),f363(a570,f362(f464(a572,x12361),x12362)))
% 15.61/15.73 [1237]E(f454(f453(a545,f363(a570,x12371)),f363(a570,x12372)),f363(a570,f362(f464(a540,x12371),x12372)))
% 15.61/15.73 [1238]E(f362(f464(a567,x12381),f362(f464(a572,x12382),x12381)),f362(f464(a572,f362(a571,x12382)),x12381))
% 15.61/15.73 [1246]P5(f458(f460(a550,x12461),f362(f464(a567,x12462),x12461)))
% 15.61/15.73 [1247]P5(f458(f460(a550,x12471),f362(f464(a567,x12471),x12472)))
% 15.61/15.73 [1249]P5(f364(f372(a530,x12491),f401(f369(a518,x12491),x12492)))
% 15.61/15.73 [1250]P5(f364(f392(a552,x12501),f401(f369(a518,x12502),x12501)))
% 15.61/15.73 [1251]P5(f365(f471(a526,x12511),f426(f478(a529,x12511),x12512)))
% 15.61/15.73 [1252]P5(f394(f413(a553,x12521),f402(f441(a517,x12522),x12521)))
% 15.61/15.73 [1253]P5(f394(f445(a528,x12531),f402(f441(a517,x12531),x12532)))
% 15.61/15.73 [1254]P5(f420(f376(a554,x12541),f425(f461(a516,x12542),x12541)))
% 15.61/15.73 [1255]P5(f420(f462(a527,x12551),f425(f461(a516,x12551),x12552)))
% 15.61/15.73 [1228]E(f362(f464(a540,f362(f464(a567,x12281),x12282)),x12282),x12281)
% 15.61/15.73 [1229]E(f362(f464(a540,f362(f464(a567,x12291),x12292)),x12291),x12292)
% 15.61/15.73 [1230]E(f454(f453(a541,f454(f453(a568,x12301),x12302)),x12302),x12301)
% 15.61/15.73 [1231]E(f454(f453(a568,f454(f453(a541,x12311),x12312)),x12312),x12311)
% 15.61/15.73 [1256]E(f85(f23(a325,f425(f61(a527),x12561)),f47(a320,f425(f61(a527),x12562))),f425(f397(a539,x12561),x12562))
% 15.61/15.73 [1257]E(f84(f31(a325,f402(f66(a528),x12571)),f46(a320,f402(f66(a528),x12572))),f402(f368(a536,x12571),x12572))
% 15.61/15.73 [1258]E(f362(f464(a540,f362(f464(a540,x12581),a547)),x12582),f362(f464(a540,x12581),f362(a571,x12582)))
% 15.61/15.73 [1262]E(f401(f369(a518,x12621),f401(f396(a535,x12622),f401(f369(a518,x12621),a4))),f401(f369(a518,x12621),x12622))
% 15.61/15.73 [1263]E(f425(f461(a516,x12631),f425(f397(a539,x12632),f425(f461(a516,x12631),a10))),f425(f461(a516,x12631),x12632))
% 15.61/15.73 [1264]E(f402(f441(a517,x12641),f402(f368(a536,x12642),f402(f441(a517,x12641),a3))),f402(f441(a517,x12641),x12642))
% 15.61/15.73 [1274]P5(f420(a357,f85(f23(a325,x12741),f460(f17(a549),x12742))))
% 15.61/15.73 [1276]E(f76(f78(f36(a326,f370(f19(a324),x12761)),f401(f49(a530),x12762))),f401(f369(a518,x12761),x12762))
% 15.61/15.73 [1278]E(f92(f79(f45(a326,f477(f50(a332),x12781)),f426(f51(a526),x12782))),f426(f478(a529,x12781),x12782))
% 15.61/15.73 [1290]P5(f458(f460(a550,f362(f464(a540,x12901),x12902)),x12901))
% 15.61/15.73 [1291]P5(f364(f392(a552,f401(f396(a535,x12911),x12912)),x12911))
% 15.61/15.73 [1292]P5(f394(f413(a553,f402(f368(a536,x12921),x12922)),x12921))
% 15.61/15.73 [1293]P5(f420(f376(a554,f425(f397(a539,x12931),x12932)),x12931))
% 15.61/15.73 [1294]P5(f458(f460(a549,x12941),f362(a571,f362(f464(a567,x12942),x12941))))
% 15.61/15.73 [1295]P5(f458(f460(a549,x12951),f362(a571,f362(f464(a567,x12951),x12952))))
% 15.61/15.73 [1357]~P5(f458(f460(a549,f362(f464(a567,x13571),x13572)),x13572))
% 15.61/15.73 [1358]~P5(f458(f460(a549,f362(f464(a567,x13581),x13582)),x13581))
% 15.61/15.73 [1259]E(f85(f23(a331,f47(a320,f460(f17(a322),x12591))),x12592),f425(f461(a516,x12591),x12592))
% 15.61/15.73 [1260]E(f84(f31(a331,f46(a320,f443(f18(a323),x12601))),x12602),f402(f441(a517,x12601),x12602))
% 15.61/15.73 [1297]E(f76(f78(f36(a325,f401(f49(a530),x12971)),f20(a320,f401(f49(a530),x12972)))),f401(f396(a535,x12971),x12972))
% 15.61/15.73 [1298]E(f92(f79(f45(a325,f426(f51(a526),x12981)),f25(a320,f426(f51(a526),x12982)))),f426(f386(a538,x12981),x12982))
% 15.61/15.73 [1303]E(f76(f78(f36(a331,f20(a320,f370(f19(a324),x13031))),x13032)),f401(f369(a518,x13031),f76(x13032)))
% 15.61/15.73 [1131]E(f362(f542(x11311,x11312),f362(a571,x11313)),f362(x11312,x11313))
% 15.61/15.73 [1132]E(f377(x11321,f371(x11322,x11323)),f371(f20(x11321,x11322),x11323))
% 15.61/15.73 [1133]E(f371(f21(x11331,x11332),x11333),f364(x11331,f370(x11332,x11333)))
% 15.61/15.73 [1134]E(f474(f25(x11341,x11342),x11343),f377(x11341,f474(x11342,x11343)))
% 15.61/15.73 [1135]E(f472(f26(x11351,x11352),x11353),f370(x11351,f475(x11352,x11353)))
% 15.61/15.73 [1136]E(f377(x11361,f449(x11362,x11363)),f449(f46(x11361,x11362),x11363))
% 15.61/15.73 [1137]E(f394(x11371,f443(x11372,x11373)),f449(f27(x11371,x11372),x11373))
% 15.61/15.73 [1138]E(f370(x11381,f450(x11382,x11383)),f438(f32(x11381,x11382),x11383))
% 15.61/15.73 [1139]E(f392(x11391,f438(x11392,x11393)),f448(f33(x11391,x11392),x11393))
% 15.61/15.73 [1140]E(f419(x11401,f439(x11402,x11403)),f440(f40(x11401,x11402),x11403))
% 15.61/15.73 [1141]E(f377(x11411,f458(x11412,x11413)),f458(f47(x11411,x11412),x11413))
% 15.61/15.73 [1142]E(f420(x11421,f460(x11422,x11423)),f458(f43(x11421,x11422),x11423))
% 15.61/15.73 [1143]E(f458(f48(x11431,x11432),x11433),f449(x11431,f363(x11432,x11433)))
% 15.61/15.73 [1144]E(f392(x11441,f451(x11442,x11443)),f456(f28(x11441,x11442),x11443))
% 15.61/15.73 [1145]E(f419(x11451,f452(x11452,x11453)),f459(f34(x11451,x11452),x11453))
% 15.61/15.73 [1146]E(f460(f44(x11461,x11462),x11463),f460(x11461,f362(x11462,x11463)))
% 15.61/15.73 [1147]E(f462(f35(x11471,x11472),x11473),f376(x11471,f460(x11472,x11473)))
% 15.61/15.73 [1148]E(f462(f22(x11481,x11482),x11483),f462(x11481,f362(x11482,x11483)))
% 15.61/15.73 [1149]E(f445(f29(x11491,x11492),x11493),f413(x11491,f443(x11492,x11493)))
% 15.61/15.73 [1150]E(f457(f30(x11501,x11502),x11503),f443(x11501,f363(x11502,x11503)))
% 15.61/15.73 [1151]E(f378(x11511,f371(x11512,x11513)),f379(f36(x11511,x11512),x11513))
% 15.61/15.73 [1152]E(f446(f31(x11521,x11522),x11523),f378(x11521,f449(x11522,x11523)))
% 15.61/15.73 [1153]E(f455(f23(x11531,x11532),x11533),f378(x11531,f458(x11532,x11533)))
% 15.61/15.73 [1154]E(f476(f45(x11541,x11542),x11543),f378(x11541,f474(x11542,x11543)))
% 15.61/15.73 [1155]E(f403(f39(x11551,x11552),x11553),f378(x11551,f364(x11552,x11553)))
% 15.61/15.73 [1156]E(f444(f41(x11561,x11562),x11563),f376(x11561,f447(x11562,x11563)))
% 15.61/15.73 [1157]E(f463(f24(x11571,x11572),x11573),f413(x11571,f457(x11572,x11573)))
% 15.61/15.73 [1158]E(f398(f37(x11581,x11582),x11583),f378(x11581,f394(x11582,x11583)))
% 15.61/15.73 [1159]E(f399(f42(x11591,x11592),x11593),f378(x11591,f420(x11592,x11593)))
% 15.61/15.73 [1160]E(f384(f38(x11601,x11602),x11603),f378(x11601,f365(x11602,x11603)))
% 15.61/15.73 [1195]E(f377(f379(x11951,x11952),f371(x11953,x11952)),f371(f78(x11951,x11953),x11952))
% 15.61/15.73 [1196]E(f377(f476(x11961,x11962),f474(x11963,x11962)),f474(f79(x11961,x11963),x11962))
% 15.61/15.73 [1197]E(f377(f446(x11971,x11972),f449(x11973,x11972)),f449(f84(x11971,x11973),x11972))
% 15.61/15.73 [1198]E(f377(f455(x11981,x11982),f458(x11983,x11982)),f458(f85(x11981,x11983),x11982))
% 15.61/15.73 [1199]E(f377(f403(x11991,x11992),f364(x11993,x11992)),f364(f80(x11991,x11993),x11992))
% 15.61/15.73 [1200]E(f377(f384(x12001,x12002),f365(x12003,x12002)),f365(f81(x12001,x12003),x12002))
% 15.61/15.73 [1201]E(f377(f398(x12011,x12012),f394(x12013,x12012)),f394(f82(x12011,x12013),x12012))
% 15.61/15.73 [1202]E(f377(f399(x12021,x12022),f420(x12023,x12022)),f420(f83(x12021,x12023),x12022))
% 15.61/15.73 [1166]E(f371(f370(f19(x11661),x11662),x11663),f371(f370(x11661,x11663),x11662))
% 15.61/15.73 [1167]E(f371(f401(f49(x11671),x11672),x11673),f364(f372(x11671,x11673),x11672))
% 15.61/15.73 [1168]E(f370(f381(f53(x11681),x11682),x11683),f401(f369(x11681,x11683),x11682))
% 15.61/15.73 [1169]E(f474(f373(f73(x11691),x11692),x11693),f371(f472(x11691,x11693),x11692))
% 15.61/15.73 [1170]E(f474(f477(f50(x11701),x11702),x11703),f474(f477(x11701,x11703),x11702))
% 15.61/15.73 [1171]E(f474(f426(f51(x11711),x11712),x11713),f365(f471(x11711,x11713),x11712))
% 15.61/15.73 [1172]E(f449(f402(f66(x11721),x11722),x11723),f394(f445(x11721,x11723),x11722))
% 15.61/15.73 [1173]E(f449(f443(f18(x11731),x11732),x11733),f449(f443(x11731,x11733),x11732))
% 15.61/15.73 [1174]E(f449(f380(f71(x11741),x11742),x11743),f371(f438(x11741,x11743),x11742))
% 15.61/15.73 [1175]E(f449(f404(f54(x11751),x11752),x11753),f420(f444(x11751,x11753),x11752))
% 15.61/15.73 [1176]E(f449(f421(f60(x11761),x11762),x11763),f365(f440(x11761,x11763),x11762))
% 15.61/15.73 [1177]E(f449(f405(f55(x11771),x11772),x11773),f364(f448(x11771,x11773),x11772))
% 15.61/15.73 [1178]E(f458(f425(f61(x11781),x11782),x11783),f420(f462(x11781,x11783),x11782))
% 15.61/15.73 [1179]E(f458(f460(f17(x11791),x11792),x11793),f458(f460(x11791,x11793),x11792))
% 15.61/15.73 [1180]E(f458(f414(f67(x11801),x11802),x11803),f394(f463(x11801,x11803),x11802))
% 15.61/15.73 [1181]E(f458(f382(f63(x11811),x11812),x11813),f365(f459(x11811,x11813),x11812))
% 15.61/15.73 [1182]E(f458(f415(f62(x11821),x11822),x11823),f364(f456(x11821,x11823),x11822))
% 15.61/15.73 [1183]E(f458(f447(f72(x11831),x11832),x11833),f449(f457(x11831,x11833),x11832))
% 15.61/15.73 [1184]E(f364(f392(f56(x11841),x11842),x11843),f364(f392(x11841,x11843),x11842))
% 15.61/15.73 [1185]E(f365(f419(f52(x11851),x11852),x11853),f365(f419(x11851,x11853),x11852))
% 15.61/15.73 [1186]E(f394(f413(f68(x11861),x11862),x11863),f394(f413(x11861,x11863),x11862))
% 15.61/15.73 [1187]E(f420(f376(f57(x11871),x11872),x11873),f420(f376(x11871,x11873),x11872))
% 15.61/15.73 [1188]E(f427(f385(f64(x11881),x11882),x11883),f427(f385(x11881,x11883),x11882))
% 15.61/15.73 [1189]E(f406(f422(f70(x11891),x11892),x11893),f406(f422(x11891,x11893),x11892))
% 15.61/15.73 [1190]E(f395(f418(f65(x11901),x11902),x11903),f395(f418(x11901,x11903),x11902))
% 15.61/15.73 [1191]E(f366(f400(f69(x11911),x11912),x11913),f366(f400(x11911,x11913),x11912))
% 15.61/15.73 [1192]E(f460(f390(f59(x11921),x11922),x11923),f425(f461(x11921,x11923),x11922))
% 15.61/15.73 [1193]E(f443(f383(f58(x11931),x11932),x11933),f402(f441(x11931,x11933),x11932))
% 15.61/15.73 [1241]E(f401(f369(a518,f475(x12411,x12412)),f514(x12411,x12413)),f514(x12411,f426(f478(a529,x12412),x12413)))
% 15.61/15.73 [1242]E(f402(f441(a517,f363(x12421,x12422)),f361(x12421,x12423)),f361(x12421,f425(f461(a516,x12422),x12423)))
% 15.61/15.73 [1243]E(f401(f369(a518,x12431),f401(f369(a518,x12432),x12433)),f401(f369(a518,x12432),f401(f369(a518,x12431),x12433)))
% 15.61/15.73 [1244]E(f362(f464(a567,x12441),f362(f464(a567,x12442),x12443)),f362(f464(a567,x12442),f362(f464(a567,x12441),x12443)))
% 15.61/15.73 [1245]E(f454(f453(a568,x12451),f454(f453(a568,x12452),x12453)),f454(f453(a568,x12452),f454(f453(a568,x12451),x12453)))
% 15.61/15.73 [1272]E(f362(f464(a540,f362(f464(a567,x12721),x12722)),f362(f464(a567,x12723),x12722)),f362(f464(a540,x12721),x12723))
% 15.61/15.73 [1273]E(f362(f464(a540,f362(f464(a567,x12731),x12732)),f362(f464(a567,x12731),x12733)),f362(f464(a540,x12732),x12733))
% 15.61/15.73 [1282]E(f401(f396(a535,f401(f396(a535,x12821),x12822)),f401(f369(a518,x12823),a4)),f401(f396(a535,x12821),f401(f369(a518,x12823),x12822)))
% 15.61/15.73 [1283]E(f425(f397(a539,f425(f397(a539,x12831),x12832)),f425(f461(a516,x12833),a10)),f425(f397(a539,x12831),f425(f461(a516,x12833),x12832)))
% 15.61/15.73 [1284]E(f402(f368(a536,f402(f368(a536,x12841),x12842)),f402(f441(a517,x12843),a3)),f402(f368(a536,x12841),f402(f441(a517,x12843),x12842)))
% 15.61/15.73 [1286]E(f362(f464(a540,f362(f464(a572,x12861),x12862)),f362(f464(a572,x12861),x12863)),f362(f464(a572,x12861),f362(f464(a540,x12862),x12863)))
% 15.61/15.73 [1287]E(f362(f464(a567,f362(f464(a572,x12871),x12872)),f362(f464(a572,x12871),x12873)),f362(f464(a572,x12871),f362(f464(a567,x12872),x12873)))
% 15.61/15.73 [1288]E(f454(f453(a541,f454(f453(a573,x12881),x12882)),f454(f453(a573,x12881),x12883)),f454(f453(a573,x12881),f454(f453(a541,x12882),x12883)))
% 15.61/15.73 [1289]E(f454(f453(a568,f454(f453(a573,x12891),x12892)),f454(f453(a573,x12891),x12893)),f454(f453(a573,x12891),f454(f453(a568,x12892),x12893)))
% 15.61/15.73 [1265]E(f362(f464(a540,f362(f464(a540,x12651),x12652)),x12653),f362(f464(a540,x12651),f362(f464(a567,x12652),x12653)))
% 15.61/15.73 [1267]E(f362(f464(a567,f362(f464(a567,x12671),x12672)),x12673),f362(f464(a567,x12671),f362(f464(a567,x12672),x12673)))
% 15.61/15.73 [1268]E(f362(f464(a572,f362(f464(a572,x12681),x12682)),x12683),f362(f464(a572,x12681),f362(f464(a572,x12682),x12683)))
% 15.61/15.73 [1270]E(f454(f453(a568,f454(f453(a568,x12701),x12702)),x12703),f454(f453(a568,x12701),f454(f453(a568,x12702),x12703)))
% 15.61/15.73 [1271]E(f454(f453(a573,f454(f453(a573,x12711),x12712)),x12713),f454(f453(a573,x12711),f454(f453(a573,x12712),x12713)))
% 15.61/15.73 [1285]E(f362(f464(a540,f362(f464(a540,x12851),x12852)),x12853),f362(f464(a540,f362(f464(a540,x12851),x12853)),x12852))
% 15.61/15.73 [1299]E(f362(f464(a540,f362(f464(a572,x12991),x12992)),f362(f464(a572,x12993),x12992)),f362(f464(a572,f362(f464(a540,x12991),x12993)),x12992))
% 15.61/15.73 [1300]E(f362(f464(a567,f362(f464(a572,x13001),x13002)),f362(f464(a572,x13003),x13002)),f362(f464(a572,f362(f464(a567,x13001),x13003)),x13002))
% 15.61/15.73 [1301]E(f454(f453(a541,f454(f453(a573,x13011),x13012)),f454(f453(a573,x13013),x13012)),f454(f453(a573,f454(f453(a541,x13011),x13013)),x13012))
% 15.61/15.73 [1302]E(f454(f453(a568,f454(f453(a573,x13021),x13022)),f454(f453(a573,x13023),x13022)),f454(f453(a573,f454(f453(a568,x13021),x13023)),x13022))
% 15.61/15.73 [1308]E(f362(f464(a540,f362(f464(a540,f362(a571,x13081)),x13082)),f362(a571,x13083)),f362(f464(a540,f362(f464(a540,x13081),x13082)),x13083))
% 15.61/15.73 [1311]P5(f364(f392(a552,f401(f396(a535,f514(x13111,x13112)),f514(x13111,x13113))),f514(x13111,f426(f386(a538,x13112),x13113))))
% 15.61/15.73 [1312]P5(f394(f413(a553,f402(f368(a536,f361(x13121,x13122)),f361(x13121,x13123))),f361(x13121,f425(f397(a539,x13122),x13123))))
% 15.61/15.73 [1305]E(f401(f396(a535,f401(f396(a535,x13051),f401(f369(a518,x13052),a4))),x13053),f401(f396(a535,x13051),f401(f369(a518,x13052),x13053)))
% 15.61/15.73 [1306]E(f425(f397(a539,f425(f397(a539,x13061),f425(f461(a516,x13062),a10))),x13063),f425(f397(a539,x13061),f425(f461(a516,x13062),x13063)))
% 15.61/15.73 [1307]E(f402(f368(a536,f402(f368(a536,x13071),f402(f441(a517,x13072),a3))),x13073),f402(f368(a536,x13071),f402(f441(a517,x13072),x13073)))
% 15.61/15.73 [1309]E(f454(f453(a568,f363(a570,x13091)),f454(f453(a568,f363(a570,x13092)),x13093)),f454(f453(a568,f363(a570,f362(f464(a567,x13091),x13092))),x13093))
% 15.61/15.73 [1310]E(f362(f464(a567,f362(f464(a572,x13101),x13102)),f362(f464(a567,f362(f464(a572,x13103),x13102)),x13104)),f362(f464(a567,f362(f464(a572,f362(f464(a567,x13101),x13103)),x13102)),x13104))
% 15.61/15.73 [1362]P4(f223(x13621))+E(f76(x13621),a4)
% 15.61/15.73 [1363]P4(f224(x13631))+E(f76(x13631),a4)
% 15.61/15.73 [1364]~E(x13641,a1)+E(f363(a570,x13641),a11)
% 15.61/15.73 [1367]~P3(x13671)+P1(f15(x13671))
% 15.61/15.73 [1368]~P1(x13681)+P1(f76(x13681))
% 15.61/15.73 [1369]~P7(x13691)+P7(f92(x13691))
% 15.61/15.73 [1370]~P2(x13701)+P2(f93(x13701))
% 15.61/15.73 [1371]~P1(x13711)+P2(f564(x13711))
% 15.61/15.73 [1372]~P6(x13721)+P6(f86(x13721))
% 15.61/15.73 [1383]E(x13831,a1)+~E(f363(a570,x13831),a11)
% 15.61/15.73 [1393]~E(x13931,a3)+P5(f394(a356,x13931))
% 15.61/15.73 [1394]~E(x13941,a10)+P5(f420(a357,x13941))
% 15.61/15.73 [1398]P5(x13981)+P5(f377(a320,x13981))
% 15.61/15.73 [1400]~P5(a9)+P5(f371(a4,x14001))
% 15.61/15.73 [1402]~P5(a9)+P5(f449(a3,x14021))
% 15.61/15.73 [1404]~P5(a9)+P5(f458(a10,x14041))
% 15.61/15.73 [1468]P5(a9)+~P5(f371(a4,x14681))
% 15.61/15.73 [1470]P5(a9)+~P5(f449(a3,x14701))
% 15.61/15.73 [1472]P5(a9)+~P5(f458(a10,x14721))
% 15.61/15.73 [1476]E(f316(x14761),a1)+~P5(f449(a546,x14761))
% 15.61/15.73 [1481]~P5(x14811)+~P5(f377(a320,x14811))
% 15.61/15.73 [1381]E(x13811,a1)+E(f362(a571,f142(x13811)),x13811)
% 15.61/15.73 [1382]E(x13821,a1)+E(f362(a571,f188(x13821)),x13821)
% 15.61/15.73 [1458]~P1(x14581)+E(f401(f396(a535,x14581),a4),x14581)
% 15.61/15.73 [1459]E(x14591,a3)+P5(f449(x14591,f225(x14591)))
% 15.61/15.73 [1460]E(x14601,a10)+P5(f458(x14601,f304(x14601)))
% 15.61/15.73 [1461]E(a3,x14611)+P5(f449(x14611,f305(x14611)))
% 15.61/15.73 [1462]E(a10,x14621)+P5(f458(x14621,f307(x14621)))
% 15.61/15.73 [1473]E(f76(x14731),a4)+P5(f371(x14731,f223(x14731)))
% 15.61/15.73 [1474]E(f76(x14741),a4)+P5(f371(x14741,f224(x14741)))
% 15.61/15.73 [1475]E(f363(a570,f316(x14751)),x14751)+P5(f449(a546,x14751))
% 15.61/15.73 [1483]E(x14831,a3)+E(f402(f441(a517,f137(x14831)),f138(x14831)),x14831)
% 15.61/15.73 [1484]E(x14841,a10)+E(f425(f461(a516,f139(x14841)),f140(x14841)),x14841)
% 15.61/15.73 [1493]~P5(f449(a546,x14931))+E(f362(a571,f316(x14931)),a547)
% 15.61/15.73 [1494]~P5(f449(a546,x14941))+E(f363(a570,f316(x14941)),a11)
% 15.61/15.73 [1511]E(x15111,a1)+P5(f458(f460(a549,a1),x15111))
% 15.61/15.73 [1589]P5(f449(a546,x15891))+P5(f449(f443(a551,a11),x15891))
% 15.61/15.73 [1616]~P5(f449(a546,x16161))+P5(f449(f443(a563,x16161),a11))
% 15.61/15.73 [1619]E(x16191,a3)+~P5(f394(f413(a553,x16191),a3))
% 15.61/15.73 [1622]E(x16221,a10)+~P5(f420(f376(a554,x16221),a10))
% 15.61/15.73 [1624]E(x16241,a2)+~P5(f458(f460(a550,x16241),a2))
% 15.61/15.73 [1625]E(x16251,a1)+~P5(f458(f460(a550,x16251),a1))
% 15.61/15.73 [1711]E(f362(a571,f143(x17111)),x17111)+~P5(f458(f460(a549,a1),x17111))
% 15.61/15.73 [1712]E(f362(a571,f180(x17121)),x17121)+~P5(f458(f460(a549,a1),x17121))
% 15.61/15.73 [1713]E(f363(a570,f190(x17131)),x17131)+~P5(f449(f443(a563,a11),x17131))
% 15.61/15.73 [1714]E(f363(a570,f219(x17141)),x17141)+~P5(f449(f443(a551,a11),x17141))
% 15.61/15.73 [1715]E(f363(a570,f220(x17151)),x17151)+~P5(f449(f443(a551,a11),x17151))
% 15.61/15.73 [1716]E(f363(a570,f221(x17161)),x17161)+~P5(f449(f443(a551,a11),x17161))
% 15.61/15.73 [1741]P5(f420(a357,x17411))+~P5(f394(a356,f361(a570,x17411)))
% 15.61/15.73 [1742]P5(f449(a546,x17421))+~P5(f449(f443(a563,x17421),a11))
% 15.61/15.73 [1771]~P5(f449(a546,x17711))+~P5(f449(f443(a551,a11),x17711))
% 15.61/15.73 [1776]E(f362(f464(a567,a547),f316(x17761)),a547)+~P5(f449(f443(a563,x17761),a12))
% 15.61/15.73 [1804]E(x18041,a3)+~P5(f394(f445(a528,f137(x18041)),f138(x18041)))
% 15.61/15.73 [1805]E(x18051,a10)+~P5(f420(f462(a527,f139(x18051)),f140(x18051)))
% 15.61/15.73 [1806]~P5(f449(f443(a563,a11),x18061))+P5(f449(f443(a551,a548),x18061))
% 15.61/15.73 [1807]P5(f449(f443(a563,a11),x18071))+~P5(f449(f443(a551,a548),x18071))
% 15.61/15.73 [1809]E(x18091,a1)+~P5(f458(f460(a549,x18091),f362(a571,a1)))
% 15.61/15.73 [1840]P5(f458(f460(a549,a1),f190(x18401)))+~P5(f449(f443(a563,a11),x18401))
% 15.61/15.73 [1923]~P5(f458(f460(a549,a1),x19231))+P5(f449(f443(a563,a11),f363(a570,x19231)))
% 15.61/15.73 [1998]P5(f458(f460(a549,a1),x19981))+~P5(f449(f443(a563,a11),f363(a570,x19981)))
% 15.61/15.73 [1580]~P4(x15801)+E(f437(a577,f401(f369(a518,x15801),a4)),x15801)
% 15.61/15.73 [1592]~E(x15921,a11)+P5(f449(f443(a563,f6(x15921)),a548))
% 15.61/15.73 [1595]E(x15951,a3)+P5(f394(f445(a528,f309(x15951)),x15951))
% 15.61/15.73 [1596]E(x15961,a3)+P5(f394(f445(a528,f313(x15961)),x15961))
% 15.61/15.73 [1597]E(x15971,a10)+P5(f420(f462(a527,f310(x15971)),x15971))
% 15.61/15.73 [1598]E(x15981,a10)+P5(f420(f462(a527,f314(x15981)),x15981))
% 15.61/15.73 [1639]P5(f449(a546,x16391))+E(f316(f454(f453(a568,x16391),a548)),f362(a571,f316(x16391)))
% 15.61/15.73 [1775]E(x17751,a11)+~P5(f449(f443(a563,f6(x17751)),a548))
% 15.61/15.73 [1786]~P5(f365(f471(a526,x17861),a565))+P5(f588(f578(f8(x17861))))
% 15.61/15.73 [1794]~E(x17941,a1)+P5(f449(f443(a551,f363(a570,x17941)),a11))
% 15.61/15.73 [1816]E(f316(f454(f453(a568,x18161),a548)),f362(f464(a567,a547),f316(x18161)))+P5(f449(f443(a563,x18161),a12))
% 15.61/15.73 [1839]E(f362(a571,f362(f464(a540,x18391),a547)),x18391)+~P5(f458(f460(a549,a1),x18391))
% 15.61/15.73 [1933]E(f362(a571,f362(f464(a540,x19331),f362(a571,a1))),x19331)+~P5(f458(f460(a549,a1),x19331))
% 15.61/15.73 [2027]E(x20271,a1)+~P5(f449(f443(a551,f363(a570,x20271)),a11))
% 15.61/15.73 [2119]~P5(f449(f443(a551,a11),x21191))+P5(f449(f443(a563,a11),f454(f453(a568,a548),x21191)))
% 15.61/15.73 [1879]~P5(f364(a318,x18791))+P5(f427(a344,f93(f392(f56(a552),x18791))))
% 15.61/15.73 [1880]~P5(f365(a355,x18801))+P5(f406(a349,f86(f419(f52(a557),x18801))))
% 15.61/15.73 [1881]~P5(f394(a356,x18811))+P5(f395(a335,f94(f413(f68(a553),x18811))))
% 15.61/15.73 [1882]~P5(f420(a357,x18821))+P5(f366(a345,f95(f376(f57(a554),x18821))))
% 15.61/15.73 [1883]~P5(f427(a344,x18831))+P5(f411(a336,f90(f385(f64(a555),x18831))))
% 15.61/15.73 [1884]~P5(f406(a349,x18841))+P5(f417(a350,f87(f422(f70(a560),x18841))))
% 15.61/15.73 [1885]~P5(f395(a335,x18851))+P5(f367(a347,f88(f418(f65(a558),x18851))))
% 15.61/15.73 [1886]~P5(f366(a345,x18861))+P5(f424(a341,f89(f400(f69(a556),x18861))))
% 15.61/15.73 [2403]~P5(f449(a546,x24031))+E(f316(f454(f453(a568,f454(f453(a568,a548),x24031)),x24031)),a1)
% 15.61/15.73 [2594]P5(f449(a546,x25941))+E(f316(f454(f453(a568,f454(f453(a568,a548),x25941)),x25941)),f362(a571,f362(f464(a567,f316(x25941)),f316(x25941))))
% 15.61/15.73 [2774]~P5(f449(a546,x27741))+P5(f449(a546,f454(f453(a568,f454(f453(a568,a548),x27741)),x27741)))
% 15.61/15.73 [2862]~P5(f449(f443(a551,a12),x28621))+P5(f449(f443(a551,a12),f454(f453(a568,f454(f453(a568,a548),x28621)),x28621)))
% 15.61/15.73 [2863]~P5(f449(f443(a551,a12),x28631))+P5(f449(f443(a563,a12),f454(f453(a568,f454(f453(a568,a548),x28631)),x28631)))
% 15.61/15.73 [2917]P5(f449(a546,x29171))+~P5(f449(a546,f454(f453(a568,f454(f453(a568,a548),x29171)),x29171)))
% 15.61/15.73 [2922]P5(f449(f443(a551,a12),x29221))+~P5(f449(f443(a551,a12),f454(f453(a568,f454(f453(a568,a548),x29221)),x29221)))
% 15.61/15.73 [2923]P5(f449(f443(a551,a12),x29231))+~P5(f449(f443(a563,a12),f454(f453(a568,f454(f453(a568,a548),x29231)),x29231)))
% 15.61/15.73 [2946]~P5(f449(f443(a563,x29461),a12))+P5(f449(f443(a551,f454(f453(a568,f454(f453(a568,a548),x29461)),x29461)),a12))
% 15.61/15.73 [2947]~P5(f449(f443(a563,x29471),a11))+P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29471)),x29471)),a11))
% 15.61/15.73 [2948]~P5(f449(f443(a563,x29481),a12))+P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29481)),x29481)),a12))
% 15.61/15.73 [2992]P5(f449(f443(a563,x29921),a11))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29921)),x29921)),a11))
% 15.61/15.73 [2993]P5(f449(f443(a563,x29931),a12))+~P5(f449(f443(a551,f454(f453(a568,f454(f453(a568,a548),x29931)),x29931)),a12))
% 15.61/15.73 [2994]P5(f449(f443(a563,x29941),a12))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29941)),x29941)),a12))
% 15.61/15.73 [1366]~E(x13662,a10)+E(f361(x13661,x13662),a3)
% 15.61/15.73 [1388]E(x13881,a10)+~E(f361(x13882,x13881),a3)
% 15.61/15.73 [1407]~P1(x14072)+P1(f20(x14071,x14072))
% 15.61/15.73 [1408]~P2(x14081)+P1(f21(x14081,x14082))
% 15.61/15.73 [1409]~P1(x14092)+P1(f78(x14091,x14092))
% 15.61/15.73 [1410]~P1(x14102)+P1(f496(x14101,x14102))
% 15.61/15.73 [1411]~P7(x14112)+P1(f514(x14111,x14112))
% 15.61/15.73 [1412]~P2(x14122)+P1(f500(x14121,x14122))
% 15.61/15.73 [1413]~P6(x14132)+P1(f497(x14131,x14132))
% 15.61/15.73 [1414]~P4(x14142)+P1(f370(x14141,x14142))
% 15.61/15.73 [1415]~P8(x14152)+P1(f472(x14151,x14152))
% 15.61/15.73 [1416]~P1(x14162)+P1(f401(x14161,x14162))
% 15.61/15.73 [1417]~P7(x14172)+P7(f25(x14171,x14172))
% 15.61/15.73 [1418]~P7(x14182)+P7(f79(x14181,x14182))
% 15.61/15.73 [1419]~P1(x14192)+P7(f501(x14191,x14192))
% 15.61/15.73 [1420]~P7(x14202)+P7(f519(x14201,x14202))
% 15.61/15.73 [1421]~P2(x14212)+P7(f487(x14211,x14212))
% 15.61/15.73 [1422]~P6(x14222)+P7(f480(x14221,x14222))
% 15.61/15.73 [1423]~P4(x14232)+P7(f373(x14231,x14232))
% 15.61/15.73 [1424]~P8(x14242)+P7(f477(x14241,x14242))
% 15.61/15.73 [1425]~P7(x14252)+P7(f426(x14251,x14252))
% 15.61/15.73 [1426]~P2(x14262)+P2(f80(x14261,x14262))
% 15.61/15.73 [1427]~P1(x14272)+P2(f502(x14271,x14272))
% 15.61/15.73 [1428]~P7(x14282)+P2(f481(x14281,x14282))
% 15.61/15.73 [1429]~P4(x14292)+P2(f372(x14291,x14292))
% 15.61/15.73 [1430]~P1(x14302)+P2(f392(x14301,x14302))
% 15.61/15.73 [1431]~P2(x14312)+P2(f410(x14311,x14312))
% 15.61/15.73 [1432]~P3(x14322)+P3(f377(x14321,x14322))
% 15.61/15.73 [1433]~P2(x14332)+P3(f427(x14331,x14332))
% 15.61/15.73 [1434]~P6(x14342)+P3(f406(x14341,x14342))
% 15.61/15.73 [1435]~P6(x14352)+P6(f81(x14351,x14352))
% 15.61/15.73 [1436]~P1(x14362)+P6(f498(x14361,x14362))
% 15.61/15.73 [1437]~P7(x14372)+P6(f488(x14371,x14372))
% 15.61/15.73 [1438]~P8(x14382)+P6(f471(x14381,x14382))
% 15.61/15.73 [1439]~P7(x14392)+P6(f419(x14391,x14392))
% 15.61/15.73 [1440]~P6(x14402)+P6(f428(x14401,x14402))
% 15.61/15.73 [1441]~P4(x14412)+P4(f374(x14411,x14412))
% 15.61/15.73 [1442]~P8(x14422)+P4(f475(x14421,x14422))
% 15.61/15.73 [1443]~P1(x14432)+P4(f437(x14431,x14432))
% 15.61/15.73 [1444]~P8(x14442)+P8(f479(x14441,x14442))
% 15.61/15.73 [1445]~P7(x14452)+P8(f387(x14451,x14452))
% 15.61/15.73 [1450]E(x14501,x14502)+~E(f361(a570,x14501),f361(a570,x14502))
% 15.61/15.73 [1452]E(x14521,x14522)+~E(f362(a571,x14521),f362(a571,x14522))
% 15.61/15.73 [1454]E(x14541,x14542)+~E(f363(a570,x14541),f363(a570,x14542))
% 15.61/15.73 [1477]~E(x14771,a3)+~P5(f449(x14771,x14772))
% 15.61/15.73 [1478]~E(x14781,a10)+~P5(f458(x14781,x14782))
% 15.61/15.73 [1479]~E(a3,x14791)+~P5(f449(x14791,x14792))
% 15.61/15.73 [1480]~E(a10,x14801)+~P5(f458(x14801,x14802))
% 15.61/15.73 [1389]~P3(x13891)+E(f371(f15(x13891),x13892),x13891)
% 15.61/15.73 [1390]~P4(x13901)+E(f475(f74(x13901),x13902),x13901)
% 15.61/15.73 [1391]~P3(x13911)+E(f449(f14(x13911),x13912),x13911)
% 15.61/15.73 [1392]~P3(x13921)+E(f458(f75(x13921),x13922),x13921)
% 15.61/15.73 [1446]~E(x14462,a1)+E(f362(f464(a572,x14461),x14462),a1)
% 15.61/15.73 [1448]~E(x14481,a1)+E(f362(f464(a572,x14481),x14482),a1)
% 15.61/15.73 [1449]~E(x14491,a1)+E(f362(f464(a567,x14491),x14492),x14492)
% 15.61/15.73 [1482]E(x14821,a10)+E(f361(f77(x14822),x14821),f402(f441(a517,x14822),a3))
% 15.61/15.73 [1487]E(x14871,a547)+~E(f362(f464(a572,x14872),x14871),a547)
% 15.61/15.73 [1488]E(x14881,a547)+~E(f362(f464(a572,x14881),x14882),a547)
% 15.61/15.73 [1489]E(x14891,a1)+~E(f362(f464(a567,x14892),x14891),a1)
% 15.61/15.73 [1490]E(x14901,a1)+~E(f362(f464(a567,x14901),x14902),a1)
% 15.61/15.73 [1491]E(x14911,a1)+~E(f362(f464(a567,x14912),x14911),x14912)
% 15.61/15.73 [1523]~E(x15231,x15232)+P5(f371(f370(a324,x15231),x15232))
% 15.61/15.73 [1524]~E(x15241,x15242)+P5(f474(f477(a332,x15241),x15242))
% 15.61/15.73 [1527]~E(x15271,x15272)+P5(f449(f443(a551,x15271),x15272))
% 15.61/15.73 [1528]~E(x15281,x15282)+P5(f449(f443(a323,x15281),x15282))
% 15.61/15.73 [1534]~E(x15341,x15342)+P5(f458(f460(a550,x15341),x15342))
% 15.61/15.73 [1535]~E(x15351,x15352)+P5(f458(f460(a322,x15351),x15352))
% 15.61/15.73 [1536]~E(x15362,x15361)+P5(f364(f392(a552,x15361),x15362))
% 15.61/15.73 [1540]~E(x15401,x15402)+P5(f364(f392(a552,x15401),x15402))
% 15.61/15.73 [1541]~E(x15411,x15412)+P5(f364(f392(a328,x15411),x15412))
% 15.61/15.73 [1542]~E(x15421,x15422)+P5(f365(f419(a327,x15421),x15422))
% 15.61/15.73 [1543]~E(x15432,x15431)+P5(f394(f413(a553,x15431),x15432))
% 15.61/15.73 [1551]~E(x15511,x15512)+P5(f394(f413(a553,x15511),x15512))
% 15.61/15.73 [1552]~E(x15521,x15522)+P5(f394(f413(a330,x15521),x15522))
% 15.61/15.73 [1553]~E(x15532,x15531)+P5(f420(f376(a554,x15531),x15532))
% 15.61/15.73 [1561]~E(x15611,x15612)+P5(f420(f376(a554,x15611),x15612))
% 15.61/15.73 [1562]~E(x15621,x15622)+P5(f420(f376(a329,x15621),x15622))
% 15.61/15.73 [1563]P5(x15631)+P5(f377(f378(a331,x15631),x15632))
% 15.61/15.73 [1567]~P5(x15672)+P5(f377(f378(a326,x15671),x15672))
% 15.61/15.73 [1568]~P5(x15681)+P5(f377(f378(a326,x15681),x15682))
% 15.61/15.73 [1569]~P5(x15692)+P5(f377(f378(a331,x15691),x15692))
% 15.61/15.73 [1574]E(x15741,f362(a571,a1))+~E(f362(f464(a572,x15742),x15741),f362(a571,a1))
% 15.61/15.73 [1575]E(x15751,f362(a571,a1))+~E(f362(f464(a572,x15751),x15752),f362(a571,a1))
% 15.61/15.73 [1584]~E(x15841,f362(a571,x15842))+P5(f458(f460(a549,a1),x15841))
% 15.61/15.73 [1599]P4(f226(x15991,x15992))+P5(f364(f392(a552,x15991),x15992))
% 15.61/15.73 [1600]P4(f287(x16001,x16002))+P5(f364(f392(a552,x16002),x16001))
% 15.61/15.73 [1601]P4(f294(x16011,x16012))+P5(f364(f392(a552,x16011),x16012))
% 15.61/15.73 [1602]P8(f295(x16021,x16022))+P5(f365(f419(a557,x16022),x16021))
% 15.61/15.73 [1610]E(f454(f453(a545,x16101),x16102),a11)+P5(f449(f443(a551,x16102),x16101))
% 15.61/15.73 [1613]E(x16131,x16132)+~E(f425(f461(a516,x16131),a10),f425(f461(a516,x16132),a10))
% 15.61/15.73 [1614]E(x16141,x16142)+~E(f402(f441(a517,x16141),a3),f402(f441(a517,x16142),a3))
% 15.61/15.73 [1644]E(x16441,x16442)+~P5(f449(f443(a323,x16441),x16442))
% 15.61/15.73 [1645]E(x16451,x16452)+~P5(f458(f460(a322,x16451),x16452))
% 15.61/15.73 [1646]E(x16461,x16462)+~P5(f394(f413(a330,x16461),x16462))
% 15.61/15.73 [1647]E(x16471,x16472)+~P5(f420(f376(a329,x16471),x16472))
% 15.61/15.73 [1652]~E(x16521,a1)+~P5(f458(f460(a549,x16522),x16521))
% 15.61/15.73 [1653]~E(x16531,a4)+~P5(f364(f372(a530,x16532),x16531))
% 15.61/15.73 [1654]~E(x16541,a5)+~P5(f365(f471(a526,x16542),x16541))
% 15.61/15.73 [1656]~E(x16561,a3)+~P5(f394(f445(a528,x16562),x16561))
% 15.61/15.73 [1658]~E(x16581,a10)+~P5(f420(f462(a527,x16582),x16581))
% 15.61/15.73 [1659]~P5(f365(a355,x16592))+P5(f364(a318,f514(x16591,x16592)))
% 15.61/15.73 [1660]~P5(f394(a356,x16602))+P5(f364(a318,f465(x16601,x16602)))
% 15.61/15.73 [1661]~P5(f420(a357,x16612))+P5(f364(a318,f510(x16611,x16612)))
% 15.61/15.73 [1662]~P5(f364(a318,x16622))+P5(f365(a355,f501(x16621,x16622)))
% 15.61/15.73 [1663]~P5(f427(a344,x16632))+P5(f365(a355,f487(x16631,x16632)))
% 15.61/15.73 [1664]~P5(f406(a349,x16642))+P5(f365(a355,f480(x16641,x16642)))
% 15.61/15.73 [1665]~P5(f395(a335,x16652))+P5(f365(a355,f467(x16651,x16652)))
% 15.61/15.73 [1666]~P5(f366(a345,x16662))+P5(f365(a355,f468(x16661,x16662)))
% 15.61/15.73 [1667]~P5(f364(a318,x16672))+P5(f394(a356,f503(x16671,x16672)))
% 15.61/15.73 [1668]~P5(f395(a335,x16682))+P5(f394(a356,f489(x16681,x16682)))
% 15.61/15.73 [1669]~P5(f366(a345,x16692))+P5(f394(a356,f482(x16691,x16692)))
% 15.61/15.73 [1670]~P5(f406(a349,x16702))+P5(f394(a356,f490(x16701,x16702)))
% 15.61/15.73 [1671]~P5(f427(a344,x16712))+P5(f394(a356,f507(x16711,x16712)))
% 15.61/15.73 [1672]~P5(f420(a357,x16722))+P5(f394(a356,f361(x16721,x16722)))
% 15.61/15.73 [1673]~P5(f364(a318,x16732))+P5(f420(a357,f506(x16731,x16732)))
% 15.61/15.73 [1674]~P5(f395(a335,x16742))+P5(f420(a357,f483(x16741,x16742)))
% 15.61/15.73 [1675]~P5(f366(a345,x16752))+P5(f420(a357,f494(x16751,x16752)))
% 15.61/15.73 [1676]~P5(f406(a349,x16762))+P5(f420(a357,f484(x16761,x16762)))
% 15.61/15.73 [1677]~P5(f427(a344,x16772))+P5(f420(a357,f508(x16771,x16772)))
% 15.61/15.73 [1678]~P5(f365(a355,x16782))+P5(f427(a344,f481(x16781,x16782)))
% 15.61/15.73 [1679]~P5(f394(a356,x16792))+P5(f427(a344,f512(x16791,x16792)))
% 15.61/15.73 [1680]~P5(f420(a357,x16802))+P5(f427(a344,f513(x16801,x16802)))
% 15.61/15.73 [1681]~P5(f365(a355,x16812))+P5(f406(a349,f488(x16811,x16812)))
% 15.61/15.73 [1682]~P5(f394(a356,x16822))+P5(f406(a349,f495(x16821,x16822)))
% 15.61/15.73 [1683]~P5(f420(a357,x16832))+P5(f406(a349,f469(x16831,x16832)))
% 15.61/15.73 [1684]~P5(f365(a355,x16842))+P5(f395(a335,f485(x16841,x16842)))
% 15.61/15.73 [1685]~P5(f420(a357,x16852))+P5(f395(a335,f486(x16851,x16852)))
% 15.61/15.73 [1686]~P5(f394(a356,x16862))+P5(f395(a335,f491(x16861,x16862)))
% 15.61/15.73 [1687]~P5(f365(a355,x16872))+P5(f366(a345,f492(x16871,x16872)))
% 15.61/15.73 [1688]~P5(f420(a357,x16882))+P5(f366(a345,f493(x16881,x16882)))
% 15.61/15.73 [1689]~P5(f394(a356,x16892))+P5(f366(a345,f499(x16891,x16892)))
% 15.61/15.73 [1690]~E(x16901,x16902)+~P5(f449(f443(a563,x16901),x16902))
% 15.61/15.73 [1695]~E(x16951,x16952)+~P5(f458(f460(a549,x16951),x16952))
% 15.61/15.73 [1699]~P5(f371(x16992,x16991))+P5(f364(f372(a530,x16991),x16992))
% 15.61/15.73 [1700]~P5(f474(x17002,x17001))+P5(f365(f471(a526,x17001),x17002))
% 15.61/15.73 [1701]~P5(f449(x17012,x17011))+P5(f394(f445(a528,x17011),x17012))
% 15.61/15.73 [1702]~P5(f458(x17022,x17021))+P5(f420(f462(a527,x17021),x17022))
% 15.61/15.73 [1704]P5(x17041)+~P5(f377(f378(a325,x17042),x17041))
% 15.61/15.73 [1705]P5(x17051)+~P5(f377(f378(a325,x17051),x17052))
% 15.61/15.73 [1706]~E(x17061,a1)+P5(f458(f460(a549,x17061),f362(a571,x17062)))
% 15.61/15.73 [1707]~E(x17071,x17072)+P5(f458(f460(a549,x17071),f362(a571,x17072)))
% 15.61/15.73 [1726]~E(f362(f464(a540,x17261),x17262),a1)+P5(f458(f460(a550,x17261),x17262))
% 15.61/15.73 [1744]~P5(f449(x17441,f191(x17441)))+P5(f449(x17441,f363(a570,x17442)))
% 15.61/15.73 [1758]P5(f371(x17581,x17582))+~P5(f364(f372(a530,x17582),x17581))
% 15.61/15.73 [1759]P5(f474(x17591,x17592))+~P5(f365(f471(a526,x17592),x17591))
% 15.61/15.73 [1760]P5(f449(x17601,x17602))+~P5(f394(f445(a528,x17602),x17601))
% 15.61/15.73 [1761]P5(f458(x17611,x17612))+~P5(f420(f462(a527,x17612),x17611))
% 15.61/15.73 [1767]P5(f449(f443(a551,x17672),x17671))+P5(f449(f443(a551,x17671),x17672))
% 15.61/15.73 [1770]P5(f458(f460(a550,x17702),x17701))+P5(f458(f460(a550,x17701),x17702))
% 15.61/15.73 [1779]E(f362(f464(a540,x17791),x17792),a1)+~P5(f458(f460(a550,x17791),x17792))
% 15.61/15.73 [1781]E(f425(f461(a516,x17811),x17812),x17812)+~P5(f420(f462(a527,x17811),x17812))
% 15.61/15.73 [1782]E(f402(f441(a517,x17821),x17822),x17822)+~P5(f394(f445(a528,x17821),x17822))
% 15.61/15.73 [1783]P5(f449(f443(a551,a11),f191(x17831)))+P5(f449(x17831,f363(a570,x17832)))
% 15.61/15.73 [1787]P5(f449(x17871,f193(x17871)))+~P5(f449(x17871,f363(a570,x17872)))
% 15.61/15.73 [1788]P5(f364(f564(x17881),x17882))+~P5(f364(f392(a552,x17882),x17881))
% 15.61/15.73 [1810]E(f362(f464(a567,x18101),f167(x18101,x18102)),x18102)+~P5(f458(f460(a550,x18101),x18102))
% 15.61/15.73 [1811]E(f362(f464(a567,x18111),f187(x18111,x18112)),x18112)+~P5(f458(f460(a549,x18111),x18112))
% 15.61/15.73 [1842]E(f454(f453(a545,x18421),x18422),f454(f453(a541,x18421),x18422))+~P5(f449(f443(a551,x18422),x18421))
% 15.61/15.73 [1845]~P5(f449(f443(a563,x18451),x18452))+P5(f449(f443(a551,x18451),x18452))
% 15.61/15.73 [1850]~P5(f458(f460(a549,x18501),x18502))+P5(f458(f460(a550,x18501),x18502))
% 15.61/15.73 [1860]P5(f458(f460(a549,x18601),x18602))+P5(f458(f460(a549,x18602),f362(a571,x18601)))
% 15.61/15.73 [1874]P5(f449(f443(a551,a11),f193(x18741)))+~P5(f449(x18741,f363(a570,x18742)))
% 15.61/15.73 [1957]~P5(f458(f460(a550,x19571),x19572))+P5(f458(f460(a550,x19571),f362(a571,x19572)))
% 15.61/15.73 [1959]~P5(f458(f460(a550,x19591),x19592))+P5(f458(f460(a549,x19591),f362(a571,x19592)))
% 15.61/15.73 [1961]~P5(f458(f460(a549,x19611),x19612))+P5(f458(f460(a549,x19611),f362(a571,x19612)))
% 15.61/15.73 [1962]P5(f458(f460(a549,a1),f187(x19621,x19622)))+~P5(f458(f460(a549,x19621),x19622))
% 15.61/15.73 [2032]P5(f458(f460(a550,x20321),x20322))+~P5(f458(f460(a549,x20321),f362(a571,x20322)))
% 15.61/15.73 [2120]~P5(f458(f460(a549,x21201),x21202))+~P5(f458(f460(a549,x21202),f362(a571,x21201)))
% 15.61/15.73 [2194]~P5(f458(f460(a550,x21941),x21942))+P5(f449(f443(a551,f363(a570,x21941)),f363(a570,x21942)))
% 15.61/15.73 [2196]~P5(f458(f460(a549,x21961),x21962))+P5(f449(f443(a563,f363(a570,x21961)),f363(a570,x21962)))
% 15.61/15.73 [2197]~P5(f458(f460(a550,x21971),x21972))+P5(f458(f460(a550,f362(a571,x21971)),f362(a571,x21972)))
% 15.61/15.73 [2199]~P5(f458(f460(a549,x21991),x21992))+P5(f458(f460(a549,f362(a571,x21991)),f362(a571,x21992)))
% 15.61/15.73 [2201]~P5(f420(f376(a561,x22011),x22012))+P5(f394(f413(a559,f361(a570,x22011)),f361(a570,x22012)))
% 15.61/15.73 [2439]P5(f458(f460(a550,x24391),x24392))+~P5(f449(f443(a551,f363(a570,x24391)),f363(a570,x24392)))
% 15.61/15.73 [2440]P5(f458(f460(a550,x24401),x24402))+~P5(f458(f460(a550,f362(a571,x24401)),f362(a571,x24402)))
% 15.61/15.73 [2442]P5(f458(f460(a549,x24421),x24422))+~P5(f449(f443(a563,f363(a570,x24421)),f363(a570,x24422)))
% 15.61/15.73 [2444]P5(f458(f460(a549,x24441),x24442))+~P5(f458(f460(a549,f362(a571,x24441)),f362(a571,x24442)))
% 15.61/15.73 [2445]P5(f420(f376(a554,x24451),x24452))+~P5(f394(f413(a553,f361(a570,x24451)),f361(a570,x24452)))
% 15.61/15.73 [2446]P5(f420(f376(a561,x24461),x24462))+~P5(f394(f413(a559,f361(a570,x24461)),f361(a570,x24462)))
% 15.61/15.73 [2447]P5(f420(f462(a527,x24471),x24472))+~P5(f394(f445(a528,f363(a570,x24471)),f361(a570,x24472)))
% 15.61/15.73 [2506]~P5(f364(a318,x25062))+P5(f458(f460(a550,f435(a354,f501(x25061,x25062))),f442(a353,x25062)))
% 15.61/15.73 [2507]~P5(f365(a355,x25072))+P5(f458(f460(a550,f435(a354,f519(x25071,x25072))),f435(a354,x25072)))
% 15.61/15.73 [2508]~P5(f394(a356,x25082))+P5(f458(f460(a550,f435(a354,f511(x25081,x25082))),f436(a352,x25082)))
% 15.61/15.73 [2509]~P5(f420(a357,x25092))+P5(f458(f460(a550,f435(a354,f515(x25091,x25092))),f412(a351,x25092)))
% 15.61/15.73 [2510]~P5(f364(a318,x25102))+P5(f458(f460(a550,f442(a353,f496(x25101,x25102))),f442(a353,x25102)))
% 15.61/15.73 [2511]~P5(f365(a355,x25112))+P5(f458(f460(a550,f442(a353,f514(x25111,x25112))),f435(a354,x25112)))
% 15.61/15.73 [2512]~P5(f427(a344,x25122))+P5(f458(f460(a550,f442(a353,f500(x25121,x25122))),f409(a338,x25122)))
% 15.61/15.73 [2513]~P5(f406(a349,x25132))+P5(f458(f460(a550,f442(a353,f497(x25131,x25132))),f429(a337,x25132)))
% 15.61/15.73 [2514]~P5(f395(a335,x25142))+P5(f458(f460(a550,f442(a353,f466(x25141,x25142))),f423(a346,x25142)))
% 15.61/15.73 [2515]~P5(f366(a345,x25152))+P5(f458(f460(a550,f442(a353,f509(x25151,x25152))),f434(a348,x25152)))
% 15.61/15.73 [2516]~P5(f364(a318,x25162))+P5(f458(f460(a550,f412(a351,f506(x25161,x25162))),f442(a353,x25162)))
% 15.61/15.73 [2517]~P5(f395(a335,x25172))+P5(f458(f460(a550,f412(a351,f483(x25171,x25172))),f423(a346,x25172)))
% 15.61/15.73 [2518]~P5(f366(a345,x25182))+P5(f458(f460(a550,f412(a351,f494(x25181,x25182))),f434(a348,x25182)))
% 15.61/15.73 [2519]~P5(f406(a349,x25192))+P5(f458(f460(a550,f412(a351,f484(x25191,x25192))),f429(a337,x25192)))
% 15.61/15.73 [2520]~P5(f427(a344,x25202))+P5(f458(f460(a550,f412(a351,f508(x25201,x25202))),f409(a338,x25202)))
% 15.61/15.73 [2521]~P5(f365(a355,x25212))+P5(f458(f460(a550,f412(a351,f520(x25211,x25212))),f435(a354,x25212)))
% 15.61/15.73 [2522]~P5(f364(a318,x25222))+P5(f458(f460(a550,f436(a352,f503(x25221,x25222))),f442(a353,x25222)))
% 15.61/15.73 [2523]~P5(f395(a335,x25232))+P5(f458(f460(a550,f436(a352,f489(x25231,x25232))),f423(a346,x25232)))
% 15.61/15.73 [2524]~P5(f366(a345,x25242))+P5(f458(f460(a550,f436(a352,f482(x25241,x25242))),f434(a348,x25242)))
% 15.61/15.73 [2525]~P5(f406(a349,x25252))+P5(f458(f460(a550,f436(a352,f490(x25251,x25252))),f429(a337,x25252)))
% 15.61/15.73 [2526]~P5(f427(a344,x25262))+P5(f458(f460(a550,f436(a352,f507(x25261,x25262))),f409(a338,x25262)))
% 15.61/15.73 [2527]~P5(f420(a357,x25272))+P5(f458(f460(a550,f436(a352,f361(x25271,x25272))),f412(a351,x25272)))
% 15.61/15.73 [2528]~P5(f365(a355,x25282))+P5(f458(f460(a550,f436(a352,f521(x25281,x25282))),f435(a354,x25282)))
% 15.61/15.73 [2976]~P5(f365(a355,x29761))+P5(f458(f460(a550,f435(a354,f426(f386(a538,x29761),f426(f478(a529,x29762),a5)))),f435(a354,x29761)))
% 15.61/15.73 [2977]~P5(f364(a318,x29771))+P5(f458(f460(a550,f442(a353,f401(f396(a535,x29771),f401(f369(a518,x29772),a4)))),f442(a353,x29771)))
% 15.61/15.73 [2978]~P5(f420(a357,x29781))+P5(f458(f460(a550,f412(a351,f425(f397(a539,x29781),f425(f461(a516,x29782),a10)))),f412(a351,x29781)))
% 15.61/15.73 [2979]~P5(f394(a356,x29791))+P5(f458(f460(a550,f436(a352,f402(f368(a536,x29791),f402(f441(a517,x29792),a3)))),f436(a352,x29791)))
% 15.61/15.73 [1611]P5(f458(x16112,x16111))+E(f85(f23(a325,f460(a322,x16111)),x16112),a10)
% 15.61/15.73 [1612]P5(f449(x16122,x16121))+E(f84(f31(a325,f443(a323,x16121)),x16122),a3)
% 15.61/15.73 [1703]E(f6(x17031),a548)+~E(f6(f454(f453(a573,x17031),x17032)),a548)
% 15.61/15.73 [1791]~P5(f458(x17912,x17911))+E(f85(f23(a325,f460(a322,x17911)),x17912),f425(f461(a516,x17911),a10))
% 15.61/15.73 [1792]~P5(f449(x17922,x17921))+E(f84(f31(a325,f443(a323,x17921)),x17922),f402(f441(a517,x17921),a3))
% 15.61/15.73 [1815]E(f362(f464(a567,x18151),f362(f464(a540,x18152),x18151)),x18152)+P5(f458(f460(a549,x18152),x18151))
% 15.61/15.73 [1875]P5(f420(a357,x18751))+P5(f420(f462(a527,f168(x18752,x18751)),x18751))
% 15.61/15.73 [1876]P5(f420(a357,x18761))+P5(f420(f462(a527,f301(x18761,x18762)),x18761))
% 15.61/15.73 [1877]P5(f420(a357,x18771))+P5(f420(f462(a527,f169(x18771,x18772)),x18771))
% 15.61/15.73 [1888]~P5(f364(a318,x18882))+P5(f364(a318,f401(f369(a518,x18881),x18882)))
% 15.61/15.73 [1890]~P5(f365(a355,x18902))+P5(f365(a355,f426(f478(a529,x18901),x18902)))
% 15.61/15.73 [1891]~P5(f365(a355,x18911))+P5(f365(a355,f426(f386(a538,x18911),x18912)))
% 15.61/15.73 [1893]~P5(f394(a356,x18932))+P5(f394(a356,f402(f441(a517,x18931),x18932)))
% 15.61/15.73 [1894]~P5(f394(a356,x18941))+P5(f394(a356,f402(f368(a536,x18941),x18942)))
% 15.61/15.73 [1895]~P5(f394(a356,x18952))+P5(f394(a356,f84(f31(a325,x18951),x18952)))
% 15.61/15.73 [1896]~P5(f394(a356,x18961))+P5(f394(a356,f84(f31(a325,x18961),x18962)))
% 15.61/15.73 [1898]~P5(f420(a357,x18982))+P5(f420(a357,f425(f461(a516,x18981),x18982)))
% 15.61/15.73 [1899]~P5(f420(a357,x18991))+P5(f420(a357,f425(f397(a539,x18991),x18992)))
% 15.61/15.73 [1900]~P5(f420(a357,x19002))+P5(f420(a357,f85(f23(a325,x19001),x19002)))
% 15.61/15.73 [1901]~P5(f420(a357,x19011))+P5(f420(a357,f85(f23(a325,x19011),x19012)))
% 15.61/15.73 [1903]~P5(f427(a344,x19032))+P5(f427(a344,f410(f391(a523,x19031),x19032)))
% 15.61/15.73 [1905]~P5(f406(a349,x19052))+P5(f406(a349,f428(f389(a522,x19051),x19052)))
% 15.61/15.73 [1907]~P5(f395(a335,x19072))+P5(f395(a335,f407(f431(a524,x19071),x19072)))
% 15.61/15.73 [1909]~P5(f366(a345,x19092))+P5(f366(a345,f388(f432(a525,x19091),x19092)))
% 15.61/15.73 [1910]~E(x19101,x19102)+P5(f449(f443(a563,x19101),f454(f453(a568,x19102),a548)))
% 15.61/15.73 [1925]E(f362(f464(a540,x19251),f362(f464(a540,x19251),x19252)),x19252)+~P5(f458(f460(a550,x19252),x19251))
% 15.61/15.73 [1926]E(f362(f464(a567,x19261),f362(f464(a540,x19262),x19261)),x19262)+~P5(f458(f460(a550,x19261),x19262))
% 15.61/15.73 [1930]E(f454(f453(a568,x19301),f363(a570,f194(x19301,x19302))),x19302)+~P5(f449(f443(a551,x19301),x19302))
% 15.61/15.73 [1985]P5(f458(f460(a550,x19851),x19852))+P5(f458(f460(a550,f362(a571,x19852)),x19851))
% 15.61/15.73 [2001]P5(f364(f392(a552,x20011),x20012))+P5(f364(f372(a530,f287(x20012,x20011)),x20011))
% 15.61/15.73 [2002]P5(f365(f419(a557,x20021),x20022))+P5(f365(f471(a526,f295(x20022,x20021)),x20021))
% 15.61/15.73 [2003]P5(f394(f413(a553,x20031),x20032))+P5(f394(f445(a528,f288(x20032,x20031)),x20031))
% 15.61/15.73 [2004]P5(f420(f376(a554,x20041),x20042))+P5(f420(f462(a527,f293(x20042,x20041)),x20041))
% 15.61/15.73 [2011]E(f362(a571,f362(f464(a567,x20111),f171(x20111,x20112))),x20112)+~P5(f458(f460(a549,x20111),x20112))
% 15.61/15.73 [2012]E(f362(a571,f362(f464(a567,x20121),f172(x20121,x20122))),x20122)+~P5(f458(f460(a549,x20121),x20122))
% 15.61/15.73 [2084]E(f84(f31(a325,f443(a551,a11)),x20841),f84(f31(a325,f443(a551,a11)),x20842))+P5(f449(f443(a551,a11),f195(x20841,x20842)))
% 15.61/15.73 [2092]E(f362(f464(a540,f362(a571,x20921)),x20922),f362(a571,f362(f464(a540,x20921),x20922)))+~P5(f458(f460(a550,x20922),x20921))
% 15.61/15.73 [2096]~P5(f458(f460(a549,x20961),x20962))+P5(f458(f460(a550,f362(a571,x20961)),x20962))
% 15.61/15.73 [2098]P5(f364(a318,x20981))+~P5(f364(a318,f401(f369(a518,x20982),x20981)))
% 15.61/15.73 [2099]P5(f365(a355,x20991))+~P5(f365(a355,f426(f478(a529,x20992),x20991)))
% 15.61/15.73 [2100]P5(f394(a356,x21001))+~P5(f394(a356,f402(f441(a517,x21002),x21001)))
% 15.61/15.73 [2101]P5(f394(a356,x21011))+~P5(f394(a356,f84(f31(a326,x21012),x21011)))
% 15.61/15.73 [2102]P5(f394(a356,x21021))+~P5(f394(a356,f84(f31(a326,x21021),x21022)))
% 15.61/15.73 [2103]P5(f420(a357,x21031))+~P5(f420(a357,f425(f461(a516,x21032),x21031)))
% 15.61/15.73 [2104]P5(f420(a357,x21041))+~P5(f420(a357,f85(f23(a326,x21042),x21041)))
% 15.61/15.73 [2105]P5(f420(a357,x21051))+~P5(f420(a357,f85(f23(a326,x21051),x21052)))
% 15.61/15.73 [2106]P5(f427(a344,x21061))+~P5(f427(a344,f410(f391(a523,x21062),x21061)))
% 15.61/15.73 [2107]P5(f406(a349,x21071))+~P5(f406(a349,f428(f389(a522,x21072),x21071)))
% 15.61/15.73 [2108]P5(f395(a335,x21081))+~P5(f395(a335,f407(f431(a524,x21082),x21081)))
% 15.61/15.73 [2109]P5(f366(a345,x21091))+~P5(f366(a345,f388(f432(a525,x21092),x21091)))
% 15.61/15.73 [2113]E(f362(a571,f279(x21131,x21132)),x21132)+~P5(f458(f460(a550,f362(a571,x21131)),x21132))
% 15.61/15.73 [2114]E(f362(a571,f179(x21141,x21142)),x21142)+~P5(f458(f460(a549,f362(a571,x21141)),x21142))
% 15.61/15.73 [2115]E(f454(f453(a541,f363(a570,x21151)),f363(a570,x21152)),f363(a570,f362(f464(a540,x21151),x21152)))+~P5(f458(f460(a550,x21152),x21151))
% 15.61/15.73 [2116]P5(f420(a357,x21161))+~P5(f458(f460(a549,f168(x21162,x21161)),x21162))
% 15.61/15.73 [2117]P5(f420(a357,x21171))+~P5(f458(f460(a550,f301(x21171,x21172)),x21172))
% 15.61/15.73 [2118]P5(f420(a357,x21181))+~P5(f458(f460(a549,f169(x21181,x21182)),x21182))
% 15.61/15.73 [2170]E(f425(f397(a539,f425(f461(a516,x21701),x21702)),f425(f461(a516,x21701),a10)),x21702)+P5(f420(f462(a527,x21701),x21702))
% 15.61/15.73 [2171]E(f402(f368(a536,f402(f441(a517,x21711),x21712)),f402(f441(a517,x21711),a3)),x21712)+P5(f394(f445(a528,x21711),x21712))
% 15.61/15.73 [2189]~P5(f449(f443(a563,x21891),x21892))+P5(f449(f443(a551,x21891),f454(f453(a541,x21892),a548)))
% 15.61/15.73 [2190]~P5(f449(f443(a551,x21901),x21902))+P5(f449(f443(a563,x21901),f454(f453(a568,x21902),a548)))
% 15.61/15.73 [2191]~P5(f449(f443(a563,x21911),x21912))+P5(f449(f443(a563,x21911),f454(f453(a568,x21912),a548)))
% 15.61/15.73 [2192]~P5(f458(f460(a549,x21922),x21921))+P5(f458(f460(a549,a1),f362(f464(a540,x21921),x21922)))
% 15.61/15.73 [2222]E(x22221,x22222)+~P5(f394(f445(a528,x22221),f402(f441(a517,x22222),a3)))
% 15.61/15.73 [2224]E(x22241,x22242)+~P5(f420(f462(a527,x22241),f425(f461(a516,x22242),a10)))
% 15.61/15.73 [2249]P5(f458(f460(a550,x22491),x22492))+~P5(f458(f460(a550,f362(a571,x22491)),x22492))
% 15.61/15.73 [2252]P5(f458(f460(a549,x22521),x22522))+~P5(f458(f460(a550,f362(a571,x22521)),x22522))
% 15.61/15.73 [2253]P5(f458(f460(a549,x22531),x22532))+~P5(f458(f460(a549,f362(a571,x22531)),x22532))
% 15.61/15.73 [2314]P5(f364(f392(a552,x23141),x23142))+~P5(f364(f372(a530,f287(x23142,x23141)),x23142))
% 15.61/15.73 [2315]P5(f365(f419(a557,x23151),x23152))+~P5(f365(f471(a526,f295(x23152,x23151)),x23152))
% 15.61/15.73 [2316]P5(f394(f413(a553,x23161),x23162))+~P5(f394(f445(a528,f288(x23162,x23161)),x23162))
% 15.61/15.73 [2317]P5(f420(f376(a554,x23171),x23172))+~P5(f420(f462(a527,f293(x23172,x23171)),x23172))
% 15.61/15.73 [2404]~P5(f458(f460(a550,x24041),x24042))+~P5(f458(f460(a550,f362(a571,x24042)),x24041))
% 15.61/15.73 [2421]P5(f458(f460(a549,x24211),f179(x24211,x24212)))+~P5(f458(f460(a549,f362(a571,x24211)),x24212))
% 15.61/15.73 [2429]P5(f458(f460(a549,a1),x24291))+~P5(f458(f460(a549,a1),f362(f464(a572,x24292),x24291)))
% 15.61/15.73 [2430]P5(f458(f460(a549,a1),x24301))+~P5(f458(f460(a549,a1),f362(f464(a572,x24301),x24302)))
% 15.61/15.73 [2435]P5(f449(f443(a551,x24351),x24352))+~P5(f449(f443(a563,x24351),f454(f453(a568,x24352),a548)))
% 15.61/15.73 [2436]P5(f449(f443(a563,x24361),x24362))+~P5(f449(f443(a551,x24361),f454(f453(a541,x24362),a548)))
% 15.61/15.73 [2437]P5(f458(f460(a549,x24371),x24372))+~P5(f458(f460(a549,a1),f362(f464(a540,x24372),x24371)))
% 15.61/15.73 [2486]~P5(f458(f544(a13,f460(a550,x24861)),x24862))+P5(f458(f460(a550,f362(a571,x24861)),x24862))
% 15.61/15.73 [2487]~P5(f458(f460(a550,f362(a571,x24871)),x24872))+P5(f458(f544(a13,f460(a550,x24871)),x24872))
% 15.61/15.73 [2682]~P5(f458(f460(a550,f362(a571,a1)),f362(f464(a572,x26822),x26821)))+P5(f458(f460(a550,f362(a571,a1)),x26821))
% 15.61/15.73 [2683]P5(f458(f460(a550,f362(a571,a1)),x26831))+~P5(f458(f460(a550,f362(a571,a1)),f362(f464(a572,x26831),x26832)))
% 15.61/15.73 [2894]P5(f364(f392(a552,x28941),x28942))+~P5(f377(f378(a562,f371(x28941,f226(x28941,x28942))),f371(x28942,f226(x28941,x28942))))
% 15.61/15.73 [2895]P5(f364(f392(a552,x28951),x28952))+~P5(f377(f378(a562,f371(x28951,f294(x28951,x28952))),f371(x28952,f294(x28951,x28952))))
% 15.61/15.73 [2896]P5(f394(f413(a553,x28961),x28962))+~P5(f377(f378(a562,f449(x28961,f285(x28961,x28962))),f449(x28962,f285(x28961,x28962))))
% 15.61/15.73 [2897]P5(f394(f413(a553,x28971),x28972))+~P5(f377(f378(a562,f449(x28971,f299(x28971,x28972))),f449(x28972,f299(x28971,x28972))))
% 15.61/15.73 [2898]P5(f420(f376(a554,x28981),x28982))+~P5(f377(f378(a562,f458(x28981,f286(x28981,x28982))),f458(x28982,f286(x28981,x28982))))
% 15.61/15.73 [2899]P5(f420(f376(a554,x28991),x28992))+~P5(f377(f378(a562,f458(x28991,f300(x28991,x28992))),f458(x28992,f300(x28991,x28992))))
% 15.61/15.73 [1723]P5(f458(x17232,x17231))+E(f85(f23(a325,f460(f17(a322),x17231)),x17232),a10)
% 15.61/15.73 [1724]P5(f449(x17242,x17241))+E(f84(f31(a325,f443(f18(a323),x17241)),x17242),a3)
% 15.61/15.73 [1812]~P5(f458(x18122,x18121))+E(f85(f23(a325,f460(f17(a322),x18121)),x18122),f425(f461(a516,x18121),a10))
% 15.61/15.73 [1813]~P5(f449(x18132,x18131))+E(f84(f31(a325,f443(f18(a323),x18131)),x18132),f402(f441(a517,x18131),a3))
% 15.61/15.73 [1814]~P5(f449(a546,x18141))+E(f362(a571,f362(f464(a567,f316(x18141)),x18142)),f362(f464(a567,a547),x18142))
% 15.61/15.73 [1859]P5(f371(x18592,x18591))+E(f76(f78(f36(a325,f370(a324,x18591)),x18592)),a4)
% 15.61/15.73 [1993]~P5(f371(x19932,x19931))+E(f76(f78(f36(a325,f370(a324,x19931)),x19932)),f401(f369(a518,x19931),a4))
% 15.61/15.73 [2111]E(f362(f464(a567,f362(f464(a540,x21111),x21112)),x21112),x21111)+~P5(f458(f460(a550,x21112),x21111))
% 15.61/15.73 [2174]~P5(f449(f443(a563,x21741),x21742))+E(f454(f453(a568,x21741),f363(a570,f362(a571,f217(x21741,x21742)))),x21742)
% 15.61/15.73 [2363]E(f425(f461(a516,x23631),f425(f397(a539,x23632),f425(f461(a516,x23631),a10))),x23632)+~P5(f420(f462(a527,x23631),x23632))
% 15.61/15.73 [2364]E(f402(f441(a517,x23641),f402(f368(a536,x23642),f402(f441(a517,x23641),a3))),x23642)+~P5(f394(f445(a528,x23641),x23642))
% 15.61/15.73 [2405]~P5(f364(a318,f76(x24052)))+P5(f364(a318,f76(f78(f36(a325,x24051),x24052))))
% 15.61/15.73 [2406]~P5(f364(a318,f76(x24061)))+P5(f364(a318,f76(f78(f36(a325,x24061),x24062))))
% 15.61/15.73 [2407]~P5(f365(a355,f92(x24072)))+P5(f365(a355,f92(f79(f45(a325,x24071),x24072))))
% 15.61/15.73 [2408]~P5(f365(a355,f92(x24081)))+P5(f365(a355,f92(f79(f45(a325,x24081),x24082))))
% 15.61/15.73 [2409]~P5(f427(a344,f93(x24092)))+P5(f427(a344,f93(f80(f39(a325,x24091),x24092))))
% 15.61/15.73 [2410]~P5(f427(a344,f93(x24101)))+P5(f427(a344,f93(f80(f39(a325,x24101),x24102))))
% 15.61/15.73 [2411]~P5(f406(a349,f86(x24112)))+P5(f406(a349,f86(f81(f38(a325,x24111),x24112))))
% 15.61/15.73 [2412]~P5(f406(a349,f86(x24121)))+P5(f406(a349,f86(f81(f38(a325,x24121),x24122))))
% 15.61/15.73 [2413]~P5(f395(a335,f94(x24132)))+P5(f395(a335,f94(f82(f37(a325,x24131),x24132))))
% 15.61/15.73 [2414]~P5(f395(a335,f94(x24141)))+P5(f395(a335,f94(f82(f37(a325,x24141),x24142))))
% 15.61/15.73 [2415]~P5(f366(a345,f95(x24152)))+P5(f366(a345,f95(f83(f42(a325,x24151),x24152))))
% 15.61/15.73 [2416]~P5(f366(a345,f95(x24161)))+P5(f366(a345,f95(f83(f42(a325,x24161),x24162))))
% 15.61/15.73 [2551]~P5(f449(f443(a563,x25511),x25512))+P5(f449(f443(a551,f454(f453(a568,x25511),a548)),x25512))
% 15.61/15.73 [2560]~P5(f449(f443(a563,x25601),x25602))+P5(f449(f443(a563,f454(f453(a541,x25601),x25602)),a11))
% 15.61/15.73 [2639]E(x26391,x26392)+~E(f454(f453(a568,f454(f453(a568,a548),x26391)),x26391),f454(f453(a568,f454(f453(a568,a548),x26392)),x26392))
% 15.61/15.73 [2641]~P5(f365(a355,x26411))+P5(f458(f460(a550,f435(a354,x26411)),f435(a354,f426(f478(a529,x26412),x26411))))
% 15.61/15.73 [2642]~P5(f364(a318,x26421))+P5(f458(f460(a550,f442(a353,x26421)),f442(a353,f401(f369(a518,x26422),x26421))))
% 15.61/15.73 [2643]~P5(f395(a335,x26431))+P5(f458(f460(a550,f423(a346,x26431)),f423(a346,f407(f431(a524,x26432),x26431))))
% 15.61/15.73 [2644]~P5(f366(a345,x26441))+P5(f458(f460(a550,f434(a348,x26441)),f434(a348,f388(f432(a525,x26442),x26441))))
% 15.61/15.73 [2645]~P5(f406(a349,x26451))+P5(f458(f460(a550,f429(a337,x26451)),f429(a337,f428(f389(a522,x26452),x26451))))
% 15.61/15.73 [2646]~P5(f427(a344,x26461))+P5(f458(f460(a550,f409(a338,x26461)),f409(a338,f410(f391(a523,x26462),x26461))))
% 15.61/15.73 [2647]~P5(f420(a357,x26471))+P5(f458(f460(a550,f412(a351,x26471)),f412(a351,f425(f461(a516,x26472),x26471))))
% 15.61/15.73 [2648]~P5(f394(a356,x26481))+P5(f458(f460(a550,f436(a352,x26481)),f436(a352,f402(f441(a517,x26482),x26481))))
% 15.61/15.73 [2649]P5(f364(a318,f76(x26491)))+~P5(f364(a318,f76(f78(f36(a326,x26492),x26491))))
% 15.61/15.73 [2650]P5(f364(a318,f76(x26501)))+~P5(f364(a318,f76(f78(f36(a326,x26501),x26502))))
% 15.61/15.73 [2651]P5(f365(a355,f92(x26511)))+~P5(f365(a355,f92(f79(f45(a326,x26512),x26511))))
% 15.61/15.73 [2652]P5(f365(a355,f92(x26521)))+~P5(f365(a355,f92(f79(f45(a326,x26521),x26522))))
% 15.61/15.73 [2653]P5(f427(a344,f93(x26531)))+~P5(f427(a344,f93(f80(f39(a326,x26532),x26531))))
% 15.61/15.73 [2654]P5(f427(a344,f93(x26541)))+~P5(f427(a344,f93(f80(f39(a326,x26541),x26542))))
% 15.61/15.73 [2655]P5(f406(a349,f86(x26551)))+~P5(f406(a349,f86(f81(f38(a326,x26552),x26551))))
% 15.61/15.73 [2656]P5(f406(a349,f86(x26561)))+~P5(f406(a349,f86(f81(f38(a326,x26561),x26562))))
% 15.61/15.73 [2657]P5(f395(a335,f94(x26571)))+~P5(f395(a335,f94(f82(f37(a326,x26572),x26571))))
% 15.61/15.73 [2658]P5(f395(a335,f94(x26581)))+~P5(f395(a335,f94(f82(f37(a326,x26581),x26582))))
% 15.61/15.73 [2659]P5(f366(a345,f95(x26591)))+~P5(f366(a345,f95(f83(f42(a326,x26592),x26591))))
% 15.61/15.73 [2660]P5(f366(a345,f95(x26601)))+~P5(f366(a345,f95(f83(f42(a326,x26601),x26602))))
% 15.61/15.73 [2707]P5(f449(f443(a563,x27071),x27072))+~P5(f449(f443(a551,f454(f453(a568,x27071),a548)),x27072))
% 15.61/15.73 [2714]P5(f449(f443(a563,x27141),x27142))+~P5(f449(f443(a563,f454(f453(a541,x27141),x27142)),a11))
% 15.61/15.73 [2733]~P5(f458(f460(a549,a1),x27331))+P5(f458(f460(a549,f362(f464(a540,x27331),f362(a571,x27332))),x27331))
% 15.61/15.73 [2740]~P5(f420(f462(a527,a1),x27401))+~E(f412(a351,f85(f23(a325,f425(f61(a527),x27401)),f460(f17(a549),f362(a571,x27402)))),a1)
% 15.61/15.73 [2851]~P5(f458(f460(a550,f134(x28512,x28511)),f362(x28511,f134(x28512,x28511))))+P5(f420(a357,f460(f17(f44(a550,x28511)),x28512)))
% 15.61/15.73 [2910]P5(f420(f462(a527,a1),x29101))+E(f412(a351,f85(f23(a325,f425(f61(f22(a527,a571)),x29101)),f460(f17(a549),x29102))),f412(a351,f85(f23(a325,f425(f61(a527),x29101)),f460(f17(a549),f362(a571,x29102)))))
% 15.61/15.73 [2925]~P5(f365(a355,x29252))+P5(f458(f460(a550,f362(f464(a540,f435(a354,x29251)),f435(a354,x29252))),f435(a354,f426(f386(a538,x29251),x29252))))
% 15.61/15.73 [2926]~P5(f364(a318,x29262))+P5(f458(f460(a550,f362(f464(a540,f442(a353,x29261)),f442(a353,x29262))),f442(a353,f401(f396(a535,x29261),x29262))))
% 15.61/15.73 [2927]~P5(f420(a357,x29272))+P5(f458(f460(a550,f362(f464(a540,f412(a351,x29271)),f412(a351,x29272))),f412(a351,f425(f397(a539,x29271),x29272))))
% 15.61/15.73 [2928]~P5(f394(a356,x29282))+P5(f458(f460(a550,f362(f464(a540,f436(a352,x29281)),f436(a352,x29282))),f436(a352,f402(f368(a536,x29281),x29282))))
% 15.61/15.73 [1932]P5(f371(x19322,x19321))+E(f76(f78(f36(a325,f370(f19(a324),x19321)),x19322)),a4)
% 15.61/15.73 [2093]~P5(f371(x20932,x20931))+E(f76(f78(f36(a325,f370(f19(a324),x20931)),x20932)),f401(f369(a518,x20931),a4))
% 15.61/15.73 [2426]E(x24261,a1)+E(f362(a571,f362(f464(a567,f362(f464(a540,x24261),a547)),x24262)),f362(f464(a567,x24261),x24262))
% 15.61/15.73 [2480]E(x24801,a1)+E(f362(f464(a567,x24802),f362(f464(a572,f362(f464(a540,x24801),a547)),x24802)),f362(f464(a572,x24801),x24802))
% 15.61/15.73 [2505]P5(f449(a546,x25051))+E(f362(f464(a567,f316(f454(f453(a568,x25051),a548))),x25052),f362(a571,f362(f464(a567,f316(x25051)),x25052)))
% 15.61/15.73 [2664]~P5(f365(a355,x26641))+E(f362(a571,f435(a354,f426(f386(a538,x26641),f426(f478(a529,x26642),a5)))),f435(a354,f426(f478(a529,x26642),x26641)))
% 15.61/15.73 [2665]~P5(f364(a318,x26651))+E(f362(a571,f442(a353,f401(f396(a535,x26651),f401(f369(a518,x26652),a4)))),f442(a353,f401(f369(a518,x26652),x26651)))
% 15.61/15.73 [2666]~P5(f420(a357,x26661))+E(f362(a571,f412(a351,f425(f397(a539,x26661),f425(f461(a516,x26662),a10)))),f412(a351,f425(f461(a516,x26662),x26661)))
% 15.61/15.73 [2667]~P5(f394(a356,x26671))+E(f362(a571,f436(a352,f402(f368(a536,x26671),f402(f441(a517,x26672),a3)))),f436(a352,f402(f441(a517,x26672),x26671)))
% 15.61/15.73 [2672]~P5(f365(a355,x26721))+E(f362(f464(a567,a547),f435(a354,f426(f386(a538,x26721),f426(f478(a529,x26722),a5)))),f435(a354,f426(f478(a529,x26722),x26721)))
% 15.61/15.73 [2673]~P5(f364(a318,x26731))+E(f362(f464(a567,a547),f442(a353,f401(f396(a535,x26731),f401(f369(a518,x26732),a4)))),f442(a353,f401(f369(a518,x26732),x26731)))
% 15.61/15.73 [2674]~P5(f420(a357,x26741))+E(f362(f464(a567,a547),f412(a351,f425(f397(a539,x26741),f425(f461(a516,x26742),a10)))),f412(a351,f425(f461(a516,x26742),x26741)))
% 15.61/15.73 [2675]~P5(f394(a356,x26751))+E(f362(f464(a567,a547),f436(a352,f402(f368(a536,x26751),f402(f441(a517,x26752),a3)))),f436(a352,f402(f441(a517,x26752),x26751)))
% 15.61/15.73 [2952]~P5(f420(f462(a527,a1),x29521))+E(f362(a571,f412(a351,f85(f23(a325,f425(f61(f22(a527,a571)),x29521)),f460(f17(a549),x29522)))),f412(a351,f85(f23(a325,f425(f61(a527),x29521)),f460(f17(a549),f362(a571,x29522)))))
% 15.61/15.73 [2988]~P5(f449(f443(a551,x29881),x29882))+P5(f449(f443(a551,f454(f453(a568,f454(f453(a568,a548),x29881)),x29881)),f454(f453(a568,f454(f453(a568,a548),x29882)),x29882)))
% 15.61/15.73 [2990]~P5(f449(f443(a563,x29901),x29902))+P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29901)),x29901)),f454(f453(a568,f454(f453(a568,a548),x29902)),x29902)))
% 15.61/15.73 [3019]P5(f449(f443(a551,x30191),x30192))+~P5(f449(f443(a551,f454(f453(a568,f454(f453(a568,a548),x30191)),x30191)),f454(f453(a568,f454(f453(a568,a548),x30192)),x30192)))
% 15.61/15.73 [3021]P5(f449(f443(a563,x30211),x30212))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x30211)),x30211)),f454(f453(a568,f454(f453(a568,a548),x30212)),x30212)))
% 15.61/15.73 [2991]P5(f364(f564(x29911),f401(f369(a518,f475(a537,x29912)),a4)))+~P5(f364(f564(f401(f369(a518,f475(a537,x29912)),x29911)),f401(f369(a518,f360(f578(f8(x29912)))),a4)))
% 15.61/15.73 [1518]~E(x15182,a1)+E(f362(f464(a572,x15181),x15182),f362(f464(a572,x15183),x15182))
% 15.61/15.73 [1520]~E(x15201,a1)+E(f362(f464(a572,x15201),x15202),f362(f464(a572,x15201),x15203))
% 15.61/15.73 [1630]E(x16301,x16302)+~E(f362(f464(a567,x16303),x16301),f362(f464(a567,x16303),x16302))
% 15.61/15.73 [1633]E(x16331,x16332)+~E(f454(f453(a568,x16333),x16331),f454(f453(a568,x16333),x16332))
% 15.61/15.73 [1636]E(x16361,x16362)+~E(f362(f464(a567,x16361),x16363),f362(f464(a567,x16362),x16363))
% 15.61/15.73 [1638]E(x16381,x16382)+~E(f454(f453(a568,x16381),x16383),f454(f453(a568,x16382),x16383))
% 15.61/15.73 [1729]~E(x17292,f362(f464(a567,x17291),x17293))+P5(f458(f460(a550,x17291),x17292))
% 15.61/15.73 [1798]~E(x17982,f454(f453(a568,x17981),f363(a570,x17983)))+P5(f449(f443(a551,x17981),x17982))
% 15.61/15.73 [1800]E(f514(f74(x18001),x18002),f401(f369(a518,x18001),a4))+~P5(f365(f471(a526,x18003),x18002))
% 15.61/15.73 [1801]E(f361(f77(x18011),x18012),f402(f441(a517,x18011),a3))+~P5(f420(f462(a527,x18013),x18012))
% 15.61/15.73 [1802]~P5(f458(x18022,x18023))+P5(f458(f544(x18021,x18022),f362(a571,x18023)))
% 15.61/15.73 [1929]P5(f458(x19291,x19292))+~P5(f458(f544(x19293,x19291),f362(a571,x19292)))
% 15.61/15.73 [1991]E(f401(f369(a518,f475(x19911,x19912)),f514(x19911,x19913)),f514(x19911,x19913))+~P5(f365(f471(a526,x19912),x19913))
% 15.61/15.73 [1992]E(f402(f441(a517,f363(x19921,x19922)),f361(x19921,x19923)),f361(x19921,x19923))+~P5(f420(f462(a527,x19922),x19923))
% 15.61/15.73 [2163]E(f361(x21631,f290(x21632,x21631,x21633)),x21632)+~P5(f394(f413(a553,x21632),f361(x21631,x21633)))
% 15.61/15.73 [2164]E(f363(x21641,f283(x21642,x21641,x21643)),x21642)+~P5(f394(f445(a528,x21642),f361(x21641,x21643)))
% 15.61/15.73 [2165]E(f363(x21651,f292(x21652,x21651,x21653)),x21652)+~P5(f394(f445(a528,x21652),f361(x21651,x21653)))
% 15.61/15.73 [2271]~P5(f364(f392(a552,x22711),x22713))+P5(f377(f378(a562,f371(x22711,x22712)),f371(x22713,x22712)))
% 15.61/15.73 [2274]~P5(f394(f413(a553,x22741),x22743))+P5(f377(f378(a562,f449(x22741,x22742)),f449(x22743,x22742)))
% 15.61/15.73 [2277]~P5(f420(f376(a554,x22771),x22773))+P5(f377(f378(a562,f458(x22771,x22772)),f458(x22773,x22772)))
% 15.61/15.73 [2278]~P5(f365(f471(a526,x22782),x22783))+P5(f364(f372(a530,f475(x22781,x22782)),f514(x22781,x22783)))
% 15.61/15.73 [2279]~P5(f365(f419(a557,x22792),x22793))+P5(f364(f392(a552,f514(x22791,x22792)),f514(x22791,x22793)))
% 15.61/15.73 [2280]~P5(f420(f376(a554,x22802),x22803))+P5(f394(f413(a553,f361(x22801,x22802)),f361(x22801,x22803)))
% 15.61/15.73 [2281]~P5(f420(f462(a527,x22812),x22813))+P5(f394(f445(a528,f363(x22811,x22812)),f361(x22811,x22813)))
% 15.61/15.73 [1720]~P5(f339(x17203,x17201))+E(f412(x17201,f425(f461(a516,x17202),a10)),x17202)
% 15.61/15.73 [1721]~P5(f333(x17213,x17211))+E(f393(x17211,f402(f441(a517,x17212),a3)),x17212)
% 15.61/15.73 [1878]~E(x18782,f362(a571,f362(f464(a567,x18781),x18783)))+P5(f458(f460(a549,x18781),x18782))
% 15.61/15.73 [1917]~E(x19171,x19172)+P5(f364(f372(a530,x19171),f401(f369(a518,x19172),x19173)))
% 15.61/15.73 [1918]~E(x19181,x19182)+P5(f365(f471(a526,x19181),f426(f478(a529,x19182),x19183)))
% 15.61/15.73 [1920]~E(x19201,x19202)+P5(f394(f445(a528,x19201),f402(f441(a517,x19202),x19203)))
% 15.61/15.73 [1922]~E(x19221,x19222)+P5(f420(f462(a527,x19221),f425(f461(a516,x19222),x19223)))
% 15.61/15.73 [1986]~E(x19862,f454(f453(a568,x19861),f363(a570,f362(a571,x19863))))+P5(f449(f443(a563,x19861),x19862))
% 15.61/15.73 [2029]E(x20291,x20292)+~E(f362(f464(a572,f362(a571,x20293)),x20291),f362(f464(a572,f362(a571,x20293)),x20292))
% 15.61/15.73 [2097]P8(f296(x20971,x20972,x20973))+P5(f364(f392(a552,f514(x20971,x20973)),x20972))
% 15.61/15.73 [2229]~P5(f458(f460(a550,x22291),x22293))+P5(f458(f460(a550,x22291),f362(f464(a567,x22292),x22293)))
% 15.61/15.73 [2231]~P5(f458(f460(a550,x22311),x22312))+P5(f458(f460(a550,x22311),f362(f464(a567,x22312),x22313)))
% 15.61/15.73 [2233]~P5(f458(f460(a549,x22331),x22333))+P5(f458(f460(a549,x22331),f362(f464(a567,x22332),x22333)))
% 15.61/15.73 [2235]~P5(f458(f460(a549,x22351),x22352))+P5(f458(f460(a549,x22351),f362(f464(a567,x22352),x22353)))
% 15.61/15.73 [2237]~P5(f364(f372(a530,x22371),x22373))+P5(f364(f372(a530,x22371),f401(f369(a518,x22372),x22373)))
% 15.61/15.73 [2238]~P5(f364(f392(a552,x22381),x22383))+P5(f364(f392(a552,x22381),f401(f369(a518,x22382),x22383)))
% 15.61/15.73 [2240]~P5(f365(f471(a526,x22401),x22403))+P5(f365(f471(a526,x22401),f426(f478(a529,x22402),x22403)))
% 15.61/15.73 [2241]~P5(f394(f413(a553,x22411),x22413))+P5(f394(f413(a553,x22411),f402(f441(a517,x22412),x22413)))
% 15.61/15.73 [2244]~P5(f394(f445(a528,x22441),x22443))+P5(f394(f445(a528,x22441),f402(f441(a517,x22442),x22443)))
% 15.61/15.73 [2245]~P5(f420(f376(a554,x22451),x22453))+P5(f420(f376(a554,x22451),f425(f461(a516,x22452),x22453)))
% 15.61/15.73 [2248]~P5(f420(f462(a527,x22481),x22483))+P5(f420(f462(a527,x22481),f425(f461(a516,x22482),x22483)))
% 15.61/15.73 [2470]P5(f364(f372(a530,x24701),x24702))+~P5(f364(f372(a530,x24701),f401(f396(a535,x24702),x24703)))
% 15.61/15.73 [2473]P5(f365(f471(a526,x24731),x24732))+~P5(f365(f471(a526,x24731),f426(f386(a538,x24732),x24733)))
% 15.61/15.73 [2476]P5(f394(f445(a528,x24761),x24762))+~P5(f394(f445(a528,x24761),f402(f368(a536,x24762),x24763)))
% 15.61/15.73 [2479]P5(f420(f462(a527,x24791),x24792))+~P5(f420(f462(a527,x24791),f425(f397(a539,x24792),x24793)))
% 15.61/15.73 [2531]~P5(f364(f372(a530,x25311),x25312))+~P5(f364(f372(a530,x25311),f401(f396(a535,x25313),x25312)))
% 15.61/15.73 [2534]~P5(f365(f471(a526,x25341),x25342))+~P5(f365(f471(a526,x25341),f426(f386(a538,x25343),x25342)))
% 15.61/15.73 [2537]~P5(f394(f445(a528,x25371),x25372))+~P5(f394(f445(a528,x25371),f402(f368(a536,x25373),x25372)))
% 15.61/15.73 [2540]~P5(f420(f462(a527,x25401),x25402))+~P5(f420(f462(a527,x25401),f425(f397(a539,x25403),x25402)))
% 15.61/15.73 [2662]P5(f458(f460(a549,a1),x26621))+P5(f458(f460(a550,f362(f464(a572,x26622),x26621)),f362(f464(a572,x26623),x26621)))
% 15.61/15.73 [2663]P5(f458(f460(a549,a1),x26631))+P5(f458(f460(a550,f362(f464(a572,x26631),x26632)),f362(f464(a572,x26631),x26633)))
% 15.61/15.73 [2686]~P5(f449(f443(a551,x26862),x26863))+P5(f449(f443(a551,f454(f453(a568,x26861),x26862)),f454(f453(a568,x26861),x26863)))
% 15.61/15.73 [2688]~P5(f449(f443(a551,x26881),x26883))+P5(f449(f443(a551,f454(f453(a568,x26881),x26882)),f454(f453(a568,x26883),x26882)))
% 15.61/15.73 [2689]~P5(f449(f443(a563,x26891),x26893))+P5(f449(f443(a563,f454(f453(a568,x26891),x26892)),f454(f453(a568,x26893),x26892)))
% 15.61/15.73 [2690]~P5(f458(f460(a550,x26903),x26902))+P5(f458(f460(a550,f362(f464(a540,x26901),x26902)),f362(f464(a540,x26901),x26903)))
% 15.61/15.73 [2691]~P5(f458(f460(a550,x26911),x26913))+P5(f458(f460(a550,f362(f464(a540,x26911),x26912)),f362(f464(a540,x26913),x26912)))
% 15.61/15.73 [2694]~P5(f458(f460(a550,x26942),x26943))+P5(f458(f460(a550,f362(f464(a567,x26941),x26942)),f362(f464(a567,x26941),x26943)))
% 15.61/15.73 [2697]~P5(f458(f460(a550,x26971),x26973))+P5(f458(f460(a550,f362(f464(a567,x26971),x26972)),f362(f464(a567,x26973),x26972)))
% 15.61/15.73 [2699]~P5(f458(f460(a550,x26992),x26993))+P5(f458(f460(a550,f362(f464(a572,x26991),x26992)),f362(f464(a572,x26991),x26993)))
% 15.61/15.73 [2701]~P5(f458(f460(a550,x27011),x27013))+P5(f458(f460(a550,f362(f464(a572,x27011),x27012)),f362(f464(a572,x27013),x27012)))
% 15.61/15.73 [2702]~P5(f458(f460(a549,x27022),x27023))+P5(f458(f460(a549,f362(f464(a567,x27021),x27022)),f362(f464(a567,x27021),x27023)))
% 15.61/15.73 [2703]~P5(f458(f460(a549,x27031),x27033))+P5(f458(f460(a549,f362(f464(a567,x27031),x27032)),f362(f464(a567,x27033),x27032)))
% 15.61/15.73 [2704]~P5(f364(f392(a552,x27042),x27043))+P5(f364(f392(a552,f401(f369(a518,x27041),x27042)),f401(f369(a518,x27041),x27043)))
% 15.61/15.73 [2705]~P5(f394(f413(a553,x27052),x27053))+P5(f394(f413(a553,f402(f441(a517,x27051),x27052)),f402(f441(a517,x27051),x27053)))
% 15.61/15.73 [2706]~P5(f420(f376(a554,x27062),x27063))+P5(f420(f376(a554,f425(f461(a516,x27061),x27062)),f425(f461(a516,x27061),x27063)))
% 15.61/15.73 [2736]P5(f365(f471(a526,f296(x27361,x27363,x27362)),x27362))+P5(f364(f392(a552,f514(x27361,x27362)),x27363))
% 15.61/15.73 [2737]P5(f420(f462(a527,f298(x27371,x27373,x27372)),x27372))+P5(f394(f413(a553,f361(x27371,x27372)),x27373))
% 15.61/15.73 [2751]~P5(f394(f413(a553,x27511),f361(x27512,x27513)))+P5(f420(f376(a554,f290(x27511,x27512,x27513)),x27513))
% 15.61/15.73 [2752]~P5(f394(f445(a528,x27521),f361(x27522,x27523)))+P5(f420(f462(a527,f283(x27521,x27522,x27523)),x27523))
% 15.61/15.73 [2753]~P5(f394(f445(a528,x27531),f361(x27532,x27533)))+P5(f420(f462(a527,f292(x27531,x27532,x27533)),x27533))
% 15.61/15.73 [2864]P5(f458(f460(a549,a1),x28641))+~P5(f458(f460(a549,f362(f464(a572,x28642),x28641)),f362(f464(a572,x28643),x28641)))
% 15.61/15.73 [2865]P5(f458(f460(a549,a1),x28651))+~P5(f458(f460(a549,f362(f464(a572,x28651),x28652)),f362(f464(a572,x28651),x28653)))
% 15.61/15.73 [2870]P5(f449(f443(a551,x28701),x28702))+~P5(f449(f443(a551,f454(f453(a568,x28703),x28701)),f454(f453(a568,x28703),x28702)))
% 15.61/15.73 [2872]P5(f449(f443(a551,x28721),x28722))+~P5(f449(f443(a551,f454(f453(a568,x28721),x28723)),f454(f453(a568,x28722),x28723)))
% 15.61/15.73 [2875]P5(f458(f460(a550,x28751),x28752))+~P5(f458(f460(a550,f362(f464(a567,x28753),x28751)),f362(f464(a567,x28753),x28752)))
% 15.61/15.73 [2877]P5(f458(f460(a550,x28771),x28772))+~P5(f458(f460(a550,f362(f464(a567,x28771),x28773)),f362(f464(a567,x28772),x28773)))
% 15.61/15.73 [2878]P5(f458(f460(a549,x28781),x28782))+~P5(f458(f460(a549,f362(f464(a567,x28783),x28781)),f362(f464(a567,x28783),x28782)))
% 15.61/15.73 [2879]P5(f458(f460(a549,x28791),x28792))+~P5(f458(f460(a549,f362(f464(a572,x28793),x28791)),f362(f464(a572,x28793),x28792)))
% 15.61/15.73 [2880]P5(f458(f460(a549,x28801),x28802))+~P5(f458(f460(a549,f362(f464(a572,x28801),x28803)),f362(f464(a572,x28802),x28803)))
% 15.61/15.73 [1722]P5(x17221)+E(f363(a570,f362(f464(f470(x17221),x17222),x17223)),f363(a570,x17223))
% 15.61/15.73 [1725]~P5(x17251)+E(f363(a570,f362(f464(f470(x17251),x17252),x17253)),f363(a570,x17252))
% 15.61/15.73 [1936]~P5(f449(a546,x19361))+E(f362(f464(a567,f316(x19361)),f362(f464(a567,f316(x19362)),x19363)),f362(f464(a567,f316(x19362)),x19363))
% 15.61/15.73 [2214]~P5(f364(f372(a530,x22141),x22143))+E(f401(f396(a535,f401(f369(a518,x22141),x22142)),x22143),f401(f396(a535,x22142),x22143))
% 15.61/15.73 [2216]~P5(f365(f471(a526,x22161),x22163))+E(f426(f386(a538,f426(f478(a529,x22161),x22162)),x22163),f426(f386(a538,x22162),x22163))
% 15.61/15.73 [2218]~P5(f420(f462(a527,x22181),x22183))+E(f425(f397(a539,f425(f461(a516,x22181),x22182)),x22183),f425(f397(a539,x22182),x22183))
% 15.61/15.73 [2220]~P5(f394(f445(a528,x22201),x22203))+E(f402(f368(a536,f402(f441(a517,x22201),x22202)),x22203),f402(f368(a536,x22202),x22203))
% 15.61/15.73 [2334]E(f401(f396(a535,f401(f369(a518,x23341),x23342)),x23343),f401(f369(a518,x23341),f401(f396(a535,x23342),x23343)))+P5(f364(f372(a530,x23341),x23343))
% 15.61/15.73 [2335]E(f426(f386(a538,f426(f478(a529,x23351),x23352)),x23353),f426(f478(a529,x23351),f426(f386(a538,x23352),x23353)))+P5(f365(f471(a526,x23351),x23353))
% 15.61/15.73 [2336]E(f425(f397(a539,f425(f461(a516,x23361),x23362)),x23363),f425(f461(a516,x23361),f425(f397(a539,x23362),x23363)))+P5(f420(f462(a527,x23361),x23363))
% 15.61/15.73 [2337]E(f402(f368(a536,f402(f441(a517,x23371),x23372)),x23373),f402(f441(a517,x23371),f402(f368(a536,x23372),x23373)))+P5(f394(f445(a528,x23371),x23373))
% 15.61/15.73 [2432]~P5(f458(f460(a550,x24322),x24323))+E(f362(f464(a540,f362(f464(a567,x24321),x24322)),x24323),f362(f464(a540,x24321),f362(f464(a540,x24323),x24322)))
% 15.61/15.73 [2434]E(f362(f464(a540,f362(f464(a567,x24341),x24342)),x24343),f362(f464(a567,x24341),f362(f464(a540,x24342),x24343)))+~P5(f458(f460(a550,x24343),x24342))
% 15.61/15.73 [2562]~P5(f458(f460(a550,x25622),x25621))+E(f362(f464(a567,f362(f464(a540,x25621),x25622)),x25623),f362(f464(a540,f362(f464(a567,x25621),x25623)),x25622))
% 15.61/15.73 [2572]~P5(f458(f460(a549,x25721),x25723))+P5(f458(f460(a549,f362(f464(a540,x25721),x25722)),x25723))
% 15.61/15.73 [2637]~P5(f458(f460(a550,x26372),x26373))+E(f362(f464(a540,f362(f464(a567,x26371),x26372)),f362(a571,x26373)),f362(f464(a540,x26371),f362(a571,f362(f464(a540,x26373),x26372))))
% 15.61/15.73 [2718]P5(f458(f460(a550,x27181),x27182))+~P5(f458(f460(a550,f362(f464(a567,x27183),x27181)),x27182))
% 15.61/15.73 [2719]P5(f458(f460(a550,x27191),x27192))+~P5(f458(f460(a550,f362(f464(a567,x27191),x27193)),x27192))
% 15.61/15.73 [2720]P5(f458(f460(a549,x27201),x27202))+~P5(f458(f460(a549,f362(f464(a567,x27201),x27203)),x27202))
% 15.61/15.73 [2721]P5(f364(f372(a530,x27211),x27212))+~P5(f364(f392(a552,f401(f369(a518,x27211),x27213)),x27212))
% 15.61/15.73 [2722]P5(f364(f392(a552,x27221),x27222))+~P5(f364(f392(a552,f401(f369(a518,x27223),x27221)),x27222))
% 15.61/15.73 [2723]P5(f365(f471(a526,x27231),x27232))+~P5(f365(f419(a557,f426(f478(a529,x27231),x27233)),x27232))
% 15.61/15.73 [2724]P5(f365(f419(a557,x27241),x27242))+~P5(f365(f419(a557,f426(f478(a529,x27243),x27241)),x27242))
% 15.61/15.73 [2725]P5(f394(f413(a553,x27251),x27252))+~P5(f394(f413(a553,f402(f441(a517,x27253),x27251)),x27252))
% 15.61/15.73 [2726]P5(f394(f445(a528,x27261),x27262))+~P5(f394(f413(a553,f402(f441(a517,x27261),x27263)),x27262))
% 15.61/15.73 [2727]P5(f420(f376(a554,x27271),x27272))+~P5(f420(f376(a554,f425(f461(a516,x27273),x27271)),x27272))
% 15.61/15.73 [2728]P5(f420(f462(a527,x27281),x27282))+~P5(f420(f376(a554,f425(f461(a516,x27281),x27283)),x27282))
% 15.61/15.73 [2754]~P5(f458(f460(a550,x27541),f362(f464(a567,x27543),x27542)))+P5(f458(f460(a550,f362(f464(a540,x27541),x27542)),x27543))
% 15.61/15.73 [2755]~P5(f458(f460(a549,x27551),f362(f464(a540,x27553),x27552)))+P5(f458(f460(a549,f362(f464(a567,x27551),x27552)),x27553))
% 15.61/15.73 [2763]~P5(f364(a318,f401(f396(a535,x27631),x27633)))+P5(f364(a318,f401(f396(a535,x27631),f401(f369(a518,x27632),x27633))))
% 15.61/15.73 [2764]~P5(f365(a355,f426(f386(a538,x27641),x27643)))+P5(f365(a355,f426(f386(a538,x27641),f426(f478(a529,x27642),x27643))))
% 15.61/15.73 [2765]~P5(f394(a356,f402(f368(a536,x27651),x27653)))+P5(f394(a356,f402(f368(a536,x27651),f402(f441(a517,x27652),x27653))))
% 15.61/15.73 [2766]~P5(f420(a357,f425(f397(a539,x27661),x27663)))+P5(f420(a357,f425(f397(a539,x27661),f425(f461(a516,x27662),x27663))))
% 15.61/15.73 [2849]P5(f458(f460(a550,x28491),f362(f464(a567,x28492),x28493)))+~P5(f458(f460(a550,f362(f464(a540,x28491),x28493)),x28492))
% 15.61/15.73 [2850]P5(f458(f460(a549,x28501),f362(f464(a540,x28502),x28503)))+~P5(f458(f460(a549,f362(f464(a567,x28501),x28503)),x28502))
% 15.61/15.73 [2887]P5(f364(a318,f401(f396(a535,x28871),x28872)))+~P5(f364(a318,f401(f396(a535,x28871),f401(f369(a518,x28873),x28872))))
% 15.61/15.73 [2888]P5(f365(a355,f426(f386(a538,x28881),x28882)))+~P5(f365(a355,f426(f386(a538,x28881),f426(f478(a529,x28883),x28882))))
% 15.61/15.73 [2889]P5(f394(a356,f402(f368(a536,x28891),x28892)))+~P5(f394(a356,f402(f368(a536,x28891),f402(f441(a517,x28893),x28892))))
% 15.61/15.73 [2890]P5(f420(a357,f425(f397(a539,x28901),x28902)))+~P5(f420(a357,f425(f397(a539,x28901),f425(f461(a516,x28903),x28902))))
% 15.61/15.73 [2921]~P5(f458(f460(a549,x29212),x29213))+P5(f458(f460(a549,f362(f464(a572,f362(a571,x29211)),x29212)),f362(f464(a572,f362(a571,x29211)),x29213)))
% 15.61/15.73 [2953]P5(f458(f460(a550,x29531),x29532))+~P5(f458(f460(a550,f362(f464(a572,f362(a571,x29533)),x29531)),f362(f464(a572,f362(a571,x29533)),x29532)))
% 15.61/15.73 [2973]P5(f364(f392(a552,f514(x29731,x29732)),x29733))+~P5(f364(f372(a530,f475(x29731,f296(x29731,x29733,x29732))),x29733))
% 15.61/15.73 [2974]P5(f394(f413(a553,f361(x29741,x29742)),x29743))+~P5(f394(f445(a528,f363(x29741,f298(x29741,x29743,x29742))),x29743))
% 15.61/15.73 [2975]P5(f458(f460(a549,f174(x29751,x29752,x29753)),f175(x29751,x29752,x29753)))+P5(f458(f460(a550,f362(f464(a567,f362(x29753,x29751)),x29752)),f362(x29753,f362(f464(a567,x29751),x29752))))
% 15.61/15.73 [3023]~P5(f458(f460(a549,f362(x30231,f174(x30232,x30233,x30231))),f362(x30231,f175(x30232,x30233,x30231))))+P5(f458(f460(a550,f362(f464(a567,f362(x30231,x30232)),x30233)),f362(x30231,f362(f464(a567,x30232),x30233))))
% 15.61/15.73 [2715]~P5(f458(f460(a550,x27152),x27151))+E(f362(f464(a540,f362(a571,f362(f464(a540,x27151),x27152))),x27153),f362(f464(a540,f362(a571,x27151)),f362(f464(a567,x27152),x27153)))
% 15.61/15.73 [2892]~P5(f458(f460(a550,x28923),x28922))+P5(f458(f460(a550,x28921),f362(f464(a540,f362(f464(a567,x28922),x28921)),x28923)))
% 15.61/15.73 [3060]~P5(f449(f443(a563,a11),x30603))+P5(f449(f443(a563,x30601),f454(f453(a568,x30602),f454(f453(a573,f454(f453(a568,f6(f454(f453(a541,x30602),x30601))),a548)),x30603))))
% 15.61/15.73 [3063]~P5(f449(f443(a563,a11),x30633))+P5(f449(f443(a563,f454(f453(a541,x30631),f454(f453(a573,f454(f453(a568,f6(f454(f453(a541,x30631),x30632))),a548)),x30633))),x30632))
% 15.61/15.73 [3015]~P5(f458(f460(a550,x30151),x30154))+E(f362(f464(a540,f362(f464(a567,f362(f464(a572,x30151),x30152)),x30153)),f362(f464(a567,f362(f464(a572,x30154),x30152)),x30155)),f362(f464(a540,x30153),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30154),x30151)),x30152)),x30155)))
% 15.61/15.73 [3035]~P5(f458(f460(a550,x30354),x30351))+E(f362(f464(a540,f362(f464(a567,f362(f464(a572,x30351),x30352)),x30353)),f362(f464(a567,f362(f464(a572,x30354),x30352)),x30355)),f362(f464(a540,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30351),x30354)),x30352)),x30353)),x30355))
% 15.61/15.73 [1361]~P3(x13611)+E(x13611,a319)+E(x13611,a13)
% 15.61/15.73 [1373]~P1(x13731)+E(x13731,a4)+P1(f96(x13731))
% 15.61/15.73 [1374]~P1(x13741)+E(x13741,a4)+P4(f308(x13741))
% 15.61/15.73 [1375]~P1(x13751)+E(x13751,a4)+P4(f311(x13751))
% 15.61/15.73 [1376]~P1(x13761)+E(x13761,a4)+P4(f97(x13761))
% 15.61/15.73 [1377]~P7(x13771)+E(x13771,a5)+P7(f135(x13771))
% 15.61/15.73 [1378]~P7(x13781)+E(x13781,a5)+P8(f312(x13781))
% 15.61/15.73 [1379]~P7(x13791)+E(x13791,a5)+P8(f98(x13791))
% 15.61/15.73 [1380]~P7(x13801)+E(x13801,a5)+P8(f136(x13801))
% 15.61/15.73 [1405]~P1(x14051)+~E(x14051,a4)+P5(f364(a318,x14051))
% 15.61/15.73 [1406]~P7(x14061)+~E(x14061,a5)+P5(f365(a355,x14061))
% 15.61/15.73 [1503]~P1(x15031)+E(x15031,a4)+E(f401(f369(a518,f97(x15031)),f96(x15031)),x15031)
% 15.61/15.73 [1504]~P7(x15041)+E(x15041,a5)+E(f426(f478(a529,f136(x15041)),f135(x15041)),x15041)
% 15.61/15.73 [1570]E(x15701,a3)+~P5(f394(a356,x15701))+P5(f394(a356,f128(x15701)))
% 15.61/15.73 [1571]E(x15711,a10)+~P5(f420(a357,x15711))+P5(f420(a357,f129(x15711)))
% 15.61/15.73 [1593]E(x15931,a3)+E(f402(f441(a517,f130(x15931)),f128(x15931)),x15931)+~P5(f394(a356,x15931))
% 15.61/15.73 [1594]E(x15941,a10)+E(f425(f461(a516,f131(x15941)),f129(x15941)),x15941)+~P5(f420(a357,x15941))
% 15.61/15.73 [1698]~P1(x16981)+E(x16981,a4)+~P5(f364(f392(a552,x16981),a4))
% 15.61/15.73 [1817]~P1(x18171)+E(x18171,a4)+~P5(f364(f372(a530,f97(x18171)),f96(x18171)))
% 15.61/15.73 [1818]~P7(x18181)+E(x18181,a5)+~P5(f365(f471(a526,f136(x18181)),f135(x18181)))
% 15.61/15.73 [1605]~P1(x16051)+E(x16051,a4)+P5(f364(f372(a530,f308(x16051)),x16051))
% 15.61/15.73 [1606]~P1(x16061)+E(x16061,a4)+P5(f364(f372(a530,f311(x16061)),x16061))
% 15.61/15.73 [1607]~P7(x16071)+E(x16071,a5)+P5(f365(f471(a526,f312(x16071)),x16071))
% 15.61/15.73 [1608]~P7(x16081)+E(x16081,a5)+P5(f365(f471(a526,f98(x16081)),x16081))
% 15.61/15.73 [1386]~P7(x13862)+~E(x13862,a5)+E(f514(x13861,x13862),a4)
% 15.61/15.73 [1397]~P7(x13971)+E(x13971,a5)+~E(f514(x13972,x13971),a4)
% 15.61/15.73 [1463]~P1(x14631)+~P4(x14632)+P3(f371(x14631,x14632))
% 15.61/15.73 [1464]~P7(x14641)+~P8(x14642)+P3(f474(x14641,x14642))
% 15.61/15.73 [1465]~P1(x14652)+~P2(x14651)+P3(f364(x14651,x14652))
% 15.61/15.73 [1466]~P7(x14662)+~P6(x14661)+P3(f365(x14661,x14662))
% 15.61/15.73 [1496]~P4(x14962)+~P5(f371(x14961,x14962))+~E(f76(x14961),a4)
% 15.61/15.73 [1456]~E(x14562,a1)+~E(x14561,a1)+E(f362(f464(a567,x14561),x14562),a1)
% 15.61/15.73 [1457]~E(x14572,a547)+~E(x14571,a547)+E(f362(f464(a572,x14571),x14572),a547)
% 15.61/15.73 [1492]E(x14921,a1)+E(x14922,a1)+~E(f362(f464(a572,x14922),x14921),a1)
% 15.61/15.73 [1501]E(x15011,a547)+E(x15012,a1)+~E(f362(f464(a572,x15012),x15011),x15012)
% 15.61/15.73 [1502]~P7(x15021)+E(x15021,a5)+E(f514(f74(x15022),x15021),f401(f369(a518,x15022),a4))
% 15.61/15.73 [1507]~E(x15072,a1)+~E(x15071,f362(a571,a1))+E(f362(f464(a567,x15071),x15072),f362(a571,a1))
% 15.61/15.73 [1508]~E(x15081,a1)+~E(x15082,f362(a571,a1))+E(f362(f464(a567,x15081),x15082),f362(a571,a1))
% 15.61/15.73 [1522]E(x15221,a1)+E(x15222,a1)+~E(f362(f464(a567,x15222),x15221),f362(a571,a1))
% 15.61/15.73 [1573]~E(x15731,f362(a571,a1))+~E(x15732,f362(a571,a1))+E(f362(f464(a572,x15731),x15732),f362(a571,a1))
% 15.61/15.73 [1578]E(x15781,f362(a571,a1))+E(x15781,a1)+~E(f362(f464(a567,x15782),x15781),f362(a571,a1))
% 15.61/15.73 [1579]E(x15791,f362(a571,a1))+E(x15791,a1)+~E(f362(f464(a567,x15791),x15792),f362(a571,a1))
% 15.61/15.73 [1581]~P5(x15812)+~P5(x15811)+P5(f377(f378(a325,x15811),x15812))
% 15.61/15.73 [1591]E(x15911,f362(a571,a1))+E(x15912,f362(a571,a1))+~E(f362(f464(a567,x15911),x15912),f362(a571,a1))
% 15.61/15.73 [1640]E(x16401,x16402)+~E(f362(f464(a540,x16402),x16401),a1)+~E(f362(f464(a540,x16401),x16402),a1)
% 15.61/15.73 [1709]P5(x17091)+P5(x17092)+~P5(f377(f378(a326,x17092),x17091))
% 15.61/15.73 [1710]~E(f316(x17102),f316(x17101))+~P5(f449(a546,x17102))+P5(f449(f443(a551,x17101),a11))
% 15.61/15.73 [1719]P5(x17191)+~P5(x17192)+~P5(f377(f378(a331,x17192),x17191))
% 15.61/15.73 [1743]~P5(f458(x17431,x17432))+P5(f458(x17431,a1))+~P5(f458(x17431,f189(x17431)))
% 15.61/15.73 [1772]E(x17721,x17722)+P5(f449(f443(a563,x17722),x17721))+P5(f449(f443(a563,x17721),x17722))
% 15.61/15.73 [1774]E(x17741,x17742)+P5(f458(f460(a549,x17742),x17741))+P5(f458(f460(a549,x17741),x17742))
% 15.61/15.73 [1777]P5(f458(x17771,x17772))+~P5(f458(x17771,a1))+P5(f458(x17771,f192(x17772,x17771)))
% 15.61/15.73 [1780]~P5(f458(x17801,x17802))+P5(f458(x17801,a1))+P5(f458(x17801,f181(x17802,x17801)))
% 15.61/15.73 [1789]~P1(x17892)+E(f401(f369(a518,x17891),x17892),x17892)+~P5(f364(f372(a530,x17891),x17892))
% 15.61/15.73 [1790]~P7(x17902)+E(f426(f478(a529,x17901),x17902),x17902)+~P5(f365(f471(a526,x17901),x17902))
% 15.61/15.73 [1793]E(f316(x17931),f316(x17932))+~P5(f449(a546,x17931))+~P5(f449(f443(a551,x17932),a11))
% 15.61/15.73 [1796]E(x17961,a548)+~E(f454(f453(a573,x17962),x17961),a548)+~P5(f449(f443(a563,a11),x17962))
% 15.61/15.73 [1797]E(x17971,a548)+~E(f454(f453(a573,x17971),x17972),a548)+~P5(f449(f443(a563,a11),x17971))
% 15.61/15.73 [1799]E(x17991,f362(a571,x17992))+E(f362(a571,f166(x17992,x17991)),x17991)+~P5(f458(f460(a549,x17992),x17991))
% 15.61/15.73 [1808]P8(f227(x18081,x18082))+P5(f365(a355,x18082))+~P5(f364(a318,f514(x18081,x18082)))
% 15.61/15.73 [1820]P5(f364(a318,x18201))+~P5(f364(a318,x18202))+~P5(f364(f392(a552,x18201),x18202))
% 15.61/15.73 [1822]P5(f365(a355,x18221))+~P5(f365(a355,x18222))+~P5(f365(f419(a557,x18221),x18222))
% 15.61/15.73 [1824]P5(f394(a356,x18241))+~P5(f394(a356,x18242))+~P5(f394(f413(a553,x18241),x18242))
% 15.61/15.73 [1826]P5(f420(a357,x18261))+~P5(f420(a357,x18262))+~P5(f420(f376(a554,x18261),x18262))
% 15.61/15.73 [1828]P5(f427(a344,x18281))+~P5(f427(a344,x18282))+~P5(f427(f385(a555,x18281),x18282))
% 15.61/15.73 [1830]P5(f406(a349,x18301))+~P5(f406(a349,x18302))+~P5(f406(f422(a560,x18301),x18302))
% 15.61/15.73 [1832]P5(f395(a335,x18321))+~P5(f395(a335,x18322))+~P5(f395(f418(a558,x18321),x18322))
% 15.61/15.73 [1834]P5(f366(a345,x18341))+~P5(f366(a345,x18342))+~P5(f366(f400(a556,x18341),x18342))
% 15.61/15.73 [1861]E(x18611,x18612)+P5(f449(f443(a563,x18611),x18612))+~P5(f449(f443(a551,x18611),x18612))
% 15.61/15.73 [1864]E(x18641,x18642)+P5(f458(f460(a549,x18641),x18642))+~P5(f458(f460(a550,x18641),x18642))
% 15.61/15.73 [1931]E(x19311,a1)+E(f362(a571,f182(x19311,x19312)),x19311)+~P5(f458(f460(a549,x19311),f362(a571,x19312)))
% 15.61/15.73 [1967]E(x19671,x19672)+~P5(f449(f443(a551,x19672),x19671))+~P5(f449(f443(a551,x19671),x19672))
% 15.61/15.73 [1972]E(x19721,x19722)+~P5(f458(f460(a550,x19722),x19721))+~P5(f458(f460(a550,x19721),x19722))
% 15.61/15.73 [1978]E(x19781,x19782)+~P5(f394(f413(a553,x19782),x19781))+~P5(f394(f413(a553,x19781),x19782))
% 15.61/15.73 [1984]E(x19841,x19842)+~P5(f420(f376(a554,x19842),x19841))+~P5(f420(f376(a554,x19841),x19842))
% 15.61/15.73 [1994]~P5(f420(a357,x19942))+~P5(f420(f462(a527,x19941),x19942))+P5(f458(f460(a550,x19941),f302(x19942)))
% 15.61/15.73 [1995]~P5(f420(a357,x19952))+~P5(f420(f462(a527,x19951),x19952))+P5(f458(f460(a549,x19951),f170(x19952)))
% 15.61/15.73 [2028]E(x20281,f362(a571,x20282))+~P5(f458(f460(a549,x20282),x20281))+P5(f458(f460(a549,x20282),f166(x20282,x20281)))
% 15.61/15.73 [2036]E(x20361,x20362)+P5(f458(f460(a549,x20361),x20362))+~P5(f458(f460(a549,x20361),f362(a571,x20362)))
% 15.61/15.73 [2087]E(x20871,f362(a571,x20872))+P5(f458(f460(a550,x20871),x20872))+~P5(f458(f460(a550,x20871),f362(a571,x20872)))
% 15.61/15.73 [2124]E(x21241,x21242)+~P5(f458(f460(a550,x21242),x21241))+~P5(f458(f460(a549,x21241),f362(a571,x21242)))
% 15.61/15.73 [2394]~P5(f365(a355,x23942))+~P5(f365(f419(a557,x23941),x23942))+P5(f458(f460(a550,f435(a354,x23941)),f435(a354,x23942)))
% 15.61/15.73 [2395]~P5(f364(a318,x23952))+~P5(f364(f392(a552,x23951),x23952))+P5(f458(f460(a550,f442(a353,x23951)),f442(a353,x23952)))
% 15.61/15.73 [2396]~P5(f395(a335,x23962))+~P5(f395(f418(a558,x23961),x23962))+P5(f458(f460(a550,f423(a346,x23961)),f423(a346,x23962)))
% 15.61/15.73 [2397]~P5(f366(a345,x23972))+~P5(f366(f400(a556,x23971),x23972))+P5(f458(f460(a550,f434(a348,x23971)),f434(a348,x23972)))
% 15.61/15.73 [2398]~P5(f406(a349,x23982))+~P5(f406(f422(a560,x23981),x23982))+P5(f458(f460(a550,f429(a337,x23981)),f429(a337,x23982)))
% 15.61/15.73 [2399]~P5(f427(a344,x23992))+~P5(f427(f385(a555,x23991),x23992))+P5(f458(f460(a550,f409(a338,x23991)),f409(a338,x23992)))
% 15.61/15.73 [2400]~P5(f420(a357,x24002))+~P5(f420(f376(a554,x24001),x24002))+P5(f458(f460(a550,f412(a351,x24001)),f412(a351,x24002)))
% 15.61/15.73 [2401]~P5(f394(a356,x24012))+~P5(f394(f413(a553,x24011),x24012))+P5(f458(f460(a550,f436(a352,x24011)),f436(a352,x24012)))
% 15.61/15.73 [1803]~P5(f458(x18031,x18032))+P5(f458(x18031,a1))+P5(f458(x18031,f362(a571,f189(x18031))))
% 15.61/15.73 [1940]~P5(f365(a355,x19402))+E(f435(a354,f426(f478(a529,x19401),x19402)),f362(a571,f435(a354,x19402)))+P5(f365(f471(a526,x19401),x19402))
% 15.61/15.73 [1942]~P5(f364(a318,x19422))+E(f442(a353,f401(f369(a518,x19421),x19422)),f362(a571,f442(a353,x19422)))+P5(f364(f372(a530,x19421),x19422))
% 15.61/15.73 [1944]~P5(f395(a335,x19442))+E(f423(a346,f407(f431(a524,x19441),x19442)),f362(a571,f423(a346,x19442)))+P5(f395(f433(a532,x19441),x19442))
% 15.61/15.73 [1946]~P5(f366(a345,x19462))+E(f434(a348,f388(f432(a525,x19461),x19462)),f362(a571,f434(a348,x19462)))+P5(f366(f408(a534,x19461),x19462))
% 15.61/15.73 [1948]~P5(f406(a349,x19482))+E(f429(a337,f428(f389(a522,x19481),x19482)),f362(a571,f429(a337,x19482)))+P5(f406(f430(a531,x19481),x19482))
% 15.61/15.73 [1950]~P5(f427(a344,x19502))+E(f409(a338,f410(f391(a523,x19501),x19502)),f362(a571,f409(a338,x19502)))+P5(f427(f416(a533,x19501),x19502))
% 15.61/15.73 [1952]~P5(f420(a357,x19522))+E(f412(a351,f425(f461(a516,x19521),x19522)),f362(a571,f412(a351,x19522)))+P5(f420(f462(a527,x19521),x19522))
% 15.61/15.73 [1954]~P5(f394(a356,x19542))+E(f436(a352,f402(f441(a517,x19541),x19542)),f362(a571,f436(a352,x19542)))+P5(f394(f445(a528,x19541),x19542))
% 15.61/15.73 [1999]~P5(f458(x19991,x19992))+P5(f458(x19991,a1))+P5(f458(f460(a550,f181(x19992,x19991)),x19992))
% 15.61/15.73 [2000]~P5(f458(x20001,x20002))+P5(f458(x20001,a1))+P5(f458(f460(a549,f183(x20002,x20001)),x20002))
% 15.61/15.73 [2015]~P5(f394(a356,x20152))+~P5(f394(a356,x20151))+P5(f394(a356,f84(f31(a326,x20151),x20152)))
% 15.61/15.73 [2017]~P5(f420(a357,x20172))+~P5(f420(a357,x20171))+P5(f420(a357,f85(f23(a326,x20171),x20172)))
% 15.61/15.73 [2018]~P5(f449(x20181,x20182))+~P5(f449(f443(a551,a11),x20182))+P5(f449(x20181,f363(a570,f215(x20181))))
% 15.61/15.73 [2019]~P5(f365(a355,x20192))+E(f435(a354,f426(f478(a529,x20191),x20192)),f435(a354,x20192))+~P5(f365(f471(a526,x20191),x20192))
% 15.61/15.73 [2020]~P5(f364(a318,x20202))+E(f442(a353,f401(f369(a518,x20201),x20202)),f442(a353,x20202))+~P5(f364(f372(a530,x20201),x20202))
% 15.61/15.73 [2021]~P5(f395(a335,x20212))+E(f423(a346,f407(f431(a524,x20211),x20212)),f423(a346,x20212))+~P5(f395(f433(a532,x20211),x20212))
% 15.61/15.73 [2022]~P5(f366(a345,x20222))+E(f434(a348,f388(f432(a525,x20221),x20222)),f434(a348,x20222))+~P5(f366(f408(a534,x20221),x20222))
% 15.61/15.73 [2023]~P5(f406(a349,x20232))+E(f429(a337,f428(f389(a522,x20231),x20232)),f429(a337,x20232))+~P5(f406(f430(a531,x20231),x20232))
% 15.61/15.73 [2024]~P5(f427(a344,x20242))+E(f409(a338,f410(f391(a523,x20241),x20242)),f409(a338,x20242))+~P5(f427(f416(a533,x20241),x20242))
% 15.61/15.73 [2025]~P5(f420(a357,x20252))+E(f412(a351,f425(f461(a516,x20251),x20252)),f412(a351,x20252))+~P5(f420(f462(a527,x20251),x20252))
% 15.61/15.73 [2026]~P5(f394(a356,x20262))+E(f436(a352,f402(f441(a517,x20261),x20262)),f436(a352,x20262))+~P5(f394(f445(a528,x20261),x20262))
% 15.61/15.73 [2110]P5(f449(x21101,x21102))+~P5(f449(f443(a551,a11),x21102))+~P5(f449(x21101,f363(a570,f216(x21101))))
% 15.61/15.73 [2112]E(f362(a571,x21121),x21122)+~P5(f458(f460(a549,x21121),x21122))+P5(f458(f460(a549,f362(a571,x21121)),x21122))
% 15.61/15.73 [2156]E(f84(f31(a325,f443(a551,a11)),x21561),f84(f31(a325,f443(a551,a11)),x21562))+P5(f449(x21562,f195(x21562,x21561)))+P5(f449(x21561,f195(x21562,x21561)))
% 15.61/15.73 [2178]P5(f365(a355,x21781))+~P5(f364(a318,f514(x21782,x21781)))+P5(f365(f471(a526,f227(x21782,x21781)),x21781))
% 15.61/15.73 [2179]P5(f394(a356,x21791))+~P5(f364(a318,f465(x21792,x21791)))+P5(f394(f445(a528,f228(x21792,x21791)),x21791))
% 15.61/15.73 [2180]P5(f394(a356,x21801))+~P5(f395(a335,f491(x21802,x21801)))+P5(f394(f445(a528,f274(x21802,x21801)),x21801))
% 15.61/15.73 [2181]P5(f394(a356,x21811))+~P5(f366(a345,f499(x21812,x21811)))+P5(f394(f445(a528,f275(x21812,x21811)),x21811))
% 15.61/15.73 [2182]P5(f394(a356,x21821))+~P5(f406(a349,f495(x21822,x21821)))+P5(f394(f445(a528,f276(x21822,x21821)),x21821))
% 15.61/15.73 [2183]P5(f394(a356,x21831))+~P5(f427(a344,f512(x21832,x21831)))+P5(f394(f445(a528,f278(x21832,x21831)),x21831))
% 15.61/15.73 [2184]P5(f420(a357,x21841))+~P5(f395(a335,f486(x21842,x21841)))+P5(f420(f462(a527,f229(x21842,x21841)),x21841))
% 15.61/15.73 [2185]P5(f420(a357,x21851))+~P5(f366(a345,f493(x21852,x21851)))+P5(f420(f462(a527,f271(x21852,x21851)),x21851))
% 15.61/15.73 [2186]P5(f420(a357,x21861))+~P5(f406(a349,f469(x21862,x21861)))+P5(f420(f462(a527,f272(x21862,x21861)),x21861))
% 15.61/15.73 [2187]P5(f420(a357,x21871))+~P5(f427(a344,f513(x21872,x21871)))+P5(f420(f462(a527,f273(x21872,x21871)),x21871))
% 15.61/15.73 [2188]P5(f420(a357,x21881))+~P5(f394(a356,f361(x21882,x21881)))+P5(f420(f462(a527,f280(x21882,x21881)),x21881))
% 15.61/15.73 [2203]~P1(x22032)+E(f401(f396(a535,f401(f369(a518,x22031),x22032)),f401(f369(a518,x22031),a4)),x22032)+P5(f364(f372(a530,x22031),x22032))
% 15.61/15.73 [2204]~P7(x22042)+E(f426(f386(a538,f426(f478(a529,x22041),x22042)),f426(f478(a529,x22041),a5)),x22042)+P5(f365(f471(a526,x22041),x22042))
% 15.61/15.73 [2225]P5(f365(a355,x22251))+~P5(f365(a355,x22252))+~P5(f365(a355,f426(f386(a538,x22251),x22252)))
% 15.61/15.73 [2226]P5(f394(a356,x22261))+~P5(f394(a356,x22262))+~P5(f394(a356,f402(f368(a536,x22261),x22262)))
% 15.61/15.73 [2227]P5(f420(a357,x22271))+~P5(f420(a357,x22272))+~P5(f420(a357,f425(f397(a539,x22271),x22272)))
% 15.61/15.73 [2288]~P5(f365(a355,x22882))+E(f362(f464(a540,f435(a354,x22881)),f435(a354,x22882)),f435(a354,f426(f386(a538,x22881),x22882)))+~P5(f365(f419(a557,x22882),x22881))
% 15.61/15.73 [2289]~P5(f364(a318,x22892))+E(f362(f464(a540,f442(a353,x22891)),f442(a353,x22892)),f442(a353,f401(f396(a535,x22891),x22892)))+~P5(f364(f392(a552,x22892),x22891))
% 15.61/15.73 [2290]~P5(f420(a357,x22902))+E(f362(f464(a540,f412(a351,x22901)),f412(a351,x22902)),f412(a351,f425(f397(a539,x22901),x22902)))+~P5(f420(f376(a554,x22902),x22901))
% 15.61/15.73 [2291]~P5(f394(a356,x22912))+E(f362(f464(a540,f436(a352,x22911)),f436(a352,x22912)),f436(a352,f402(f368(a536,x22911),x22912)))+~P5(f394(f413(a553,x22912),x22911))
% 15.61/15.73 [2310]P5(f458(x23101,x23102))+~P5(f458(x23101,a1))+~P5(f458(x23101,f362(a571,f192(x23102,x23101))))
% 15.61/15.73 [2365]E(x23651,a1)+~P5(f458(f460(a549,x23651),f362(a571,x23652)))+P5(f458(f460(a549,f182(x23651,x23652)),x23652))
% 15.61/15.73 [2366]E(x23661,a3)+E(x23661,f402(f441(a517,x23662),a3))+~P5(f394(f413(a553,x23661),f402(f441(a517,x23662),a3)))
% 15.61/15.73 [2367]E(x23671,a10)+E(x23671,f425(f461(a516,x23672),a10))+~P5(f420(f376(a554,x23671),f425(f461(a516,x23672),a10)))
% 15.61/15.73 [2448]E(f84(f31(a325,f443(a551,a11)),x24481),f84(f31(a325,f443(a551,a11)),x24482))+~P5(f449(x24482,f195(x24482,x24481)))+~P5(f449(x24481,f195(x24482,x24481)))
% 15.61/15.73 [2449]E(x24491,x24492)+P5(f449(f443(a563,x24491),x24492))+~P5(f449(f443(a563,x24491),f454(f453(a568,x24492),a548)))
% 15.61/15.73 [2488]~P5(f449(f443(a551,a11),x24882))+~P5(f449(f443(a551,a11),x24881))+P5(f449(f443(a551,a11),f454(f453(a568,x24881),x24882)))
% 15.61/15.73 [2489]~P5(f449(f443(a551,a11),x24892))+~P5(f449(f443(a551,a11),x24891))+P5(f449(f443(a551,a11),f454(f453(a573,x24891),x24892)))
% 15.61/15.73 [2490]~P5(f449(f443(a551,a11),x24902))+~P5(f449(f443(a551,a11),x24901))+P5(f449(f443(a551,a11),f454(f453(a545,x24901),x24902)))
% 15.61/15.73 [2491]~P5(f458(f460(a549,a1),x24912))+~P5(f458(f460(a549,a1),x24911))+P5(f458(f460(a549,a1),f362(f464(a572,x24911),x24912)))
% 15.61/15.73 [2553]P5(f458(f460(a549,a1),x25531))+P5(f458(f460(a549,a1),x25532))+~P5(f458(f460(a549,a1),f362(f464(a567,x25532),x25531)))
% 15.61/15.73 [2756]~P5(f458(f460(a549,f362(a571,a1)),x27561))+~P5(f458(f460(a549,f362(a571,a1)),x27562))+P5(f458(f460(a549,x27561),f362(f464(a572,x27562),x27561)))
% 15.61/15.73 [2757]~P5(f458(f460(a549,f362(a571,a1)),x27571))+~P5(f458(f460(a549,f362(a571,a1)),x27572))+P5(f458(f460(a549,x27571),f362(f464(a572,x27571),x27572)))
% 15.61/15.73 [2847]~P5(f458(f460(a550,f362(a571,a1)),x28471))+~P5(f458(f460(a550,f362(a571,a1)),x28472))+P5(f458(f460(a550,f362(a571,a1)),f362(f464(a572,x28471),x28472)))
% 15.61/15.73 [2848]~P5(f458(f460(a549,f362(a571,a1)),x28482))+~P5(f458(f460(a549,f362(a571,a1)),x28481))+P5(f458(f460(a549,f362(a571,a1)),f362(f464(a572,x28481),x28482)))
% 15.61/15.73 [2085]~P5(f588(x20852))+P8(f303(x20851,x20852))+P5(f364(f564(x20851),f401(f369(a518,f360(x20852)),a4)))
% 15.61/15.73 [2292]~P5(f365(a355,x22921))+P5(f365(f471(a526,x22922),x22921))+E(f435(a354,f426(f386(a538,x22921),f426(f478(a529,x22922),a5))),f435(a354,x22921))
% 15.61/15.73 [2293]~P5(f364(a318,x22931))+P5(f364(f372(a530,x22932),x22931))+E(f442(a353,f401(f396(a535,x22931),f401(f369(a518,x22932),a4))),f442(a353,x22931))
% 15.61/15.73 [2294]~P5(f420(a357,x22941))+P5(f420(f462(a527,x22942),x22941))+E(f412(a351,f425(f397(a539,x22941),f425(f461(a516,x22942),a10))),f412(a351,x22941))
% 15.61/15.73 [2295]~P5(f394(a356,x22951))+P5(f394(f445(a528,x22952),x22951))+E(f436(a352,f402(f368(a536,x22951),f402(f441(a517,x22952),a3))),f436(a352,x22951))
% 15.61/15.73 [2392]~P1(x23922)+E(f401(f369(a518,x23921),f401(f396(a535,x23922),f401(f369(a518,x23921),a4))),x23922)+~P5(f364(f372(a530,x23921),x23922))
% 15.61/15.73 [2393]~P7(x23932)+E(f426(f478(a529,x23931),f426(f386(a538,x23932),f426(f478(a529,x23931),a5))),x23932)+~P5(f365(f471(a526,x23931),x23932))
% 15.61/15.73 [2481]~P5(f588(x24812))+P5(f365(f471(a526,f303(x24811,x24812)),a565))+P5(f364(f564(x24811),f401(f369(a518,f360(x24812)),a4)))
% 15.61/15.73 [2498]~P5(f458(x24981,x24982))+P5(f458(x24981,a1))+P5(f458(x24981,f362(f464(a567,f183(x24982,x24981)),a547)))
% 15.61/15.73 [2499]~P5(f364(a318,f76(x24992)))+~P5(f364(a318,f76(x24991)))+P5(f364(a318,f76(f78(f36(a326,x24991),x24992))))
% 15.61/15.73 [2500]~P5(f365(a355,f92(x25002)))+~P5(f365(a355,f92(x25001)))+P5(f365(a355,f92(f79(f45(a326,x25001),x25002))))
% 15.61/15.73 [2501]~P5(f427(a344,f93(x25012)))+~P5(f427(a344,f93(x25011)))+P5(f427(a344,f93(f80(f39(a326,x25011),x25012))))
% 15.61/15.73 [2502]~P5(f406(a349,f86(x25022)))+~P5(f406(a349,f86(x25021)))+P5(f406(a349,f86(f81(f38(a326,x25021),x25022))))
% 15.61/15.73 [2503]~P5(f395(a335,f94(x25032)))+~P5(f395(a335,f94(x25031)))+P5(f395(a335,f94(f82(f37(a326,x25031),x25032))))
% 15.61/15.73 [2504]~P5(f366(a345,f95(x25042)))+~P5(f366(a345,f95(x25041)))+P5(f366(a345,f95(f83(f42(a326,x25041),x25042))))
% 15.61/15.73 [2542]~P5(f365(a355,x25421))+~P5(f365(f471(a526,x25422),x25421))+E(f435(a354,f426(f386(a538,x25421),f426(f478(a529,x25422),a5))),f362(f464(a540,f435(a354,x25421)),a547))
% 15.61/15.73 [2544]~P5(f364(a318,x25441))+~P5(f364(f372(a530,x25442),x25441))+E(f442(a353,f401(f396(a535,x25441),f401(f369(a518,x25442),a4))),f362(f464(a540,f442(a353,x25441)),a547))
% 15.61/15.73 [2546]~P5(f420(a357,x25461))+~P5(f420(f462(a527,x25462),x25461))+E(f412(a351,f425(f397(a539,x25461),f425(f461(a516,x25462),a10))),f362(f464(a540,f412(a351,x25461)),a547))
% 15.61/15.73 [2548]~P5(f394(a356,x25481))+~P5(f394(f445(a528,x25482),x25481))+E(f436(a352,f402(f368(a536,x25481),f402(f441(a517,x25482),a3))),f362(f464(a540,f436(a352,x25481)),a547))
% 15.61/15.73 [2669]~P5(f458(f460(a549,a1),x26691))+~P5(f458(f460(a549,a1),x26692))+P5(f458(f460(a549,f362(f464(a540,x26691),x26692)),x26691))
% 15.61/15.73 [2708]~P5(f365(a355,x27081))+~P5(f365(f471(a526,x27082),x27081))+E(f362(a571,f435(a354,f426(f386(a538,x27081),f426(f478(a529,x27082),a5)))),f435(a354,x27081))
% 15.61/15.73 [2709]~P5(f364(a318,x27091))+~P5(f364(f372(a530,x27092),x27091))+E(f362(a571,f442(a353,f401(f396(a535,x27091),f401(f369(a518,x27092),a4)))),f442(a353,x27091))
% 15.61/15.73 [2710]~P5(f420(a357,x27101))+~P5(f420(f462(a527,x27102),x27101))+E(f362(a571,f412(a351,f425(f397(a539,x27101),f425(f461(a516,x27102),a10)))),f412(a351,x27101))
% 15.61/15.73 [2711]~P5(f394(a356,x27111))+~P5(f394(f445(a528,x27112),x27111))+E(f362(a571,f436(a352,f402(f368(a536,x27111),f402(f441(a517,x27112),a3)))),f436(a352,x27111))
% 15.61/15.73 [2729]~P5(f365(a355,x27291))+~P5(f365(f471(a526,x27292),x27291))+E(f362(f464(a567,a547),f435(a354,f426(f386(a538,x27291),f426(f478(a529,x27292),a5)))),f435(a354,x27291))
% 15.61/15.73 [2730]~P5(f364(a318,x27301))+~P5(f364(f372(a530,x27302),x27301))+E(f362(f464(a567,a547),f442(a353,f401(f396(a535,x27301),f401(f369(a518,x27302),a4)))),f442(a353,x27301))
% 15.61/15.73 [2731]~P5(f420(a357,x27311))+~P5(f420(f462(a527,x27312),x27311))+E(f362(f464(a567,a547),f412(a351,f425(f397(a539,x27311),f425(f461(a516,x27312),a10)))),f412(a351,x27311))
% 15.61/15.73 [2732]~P5(f394(a356,x27321))+~P5(f394(f445(a528,x27322),x27321))+E(f362(f464(a567,a547),f436(a352,f402(f368(a536,x27321),f402(f441(a517,x27322),a3)))),f436(a352,x27321))
% 15.61/15.73 [2943]~P5(f588(x29432))+P5(f364(f564(x29431),f401(f369(a518,f360(x29432)),a4)))+~P5(f364(f564(x29431),f401(f369(a518,f475(a537,f303(x29431,x29432))),a4)))
% 15.61/15.73 [3002]P5(f394(a356,x30021))+~P5(f364(a318,f465(x30022,x30021)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30021)),f380(f71(f32(a324,x30022)),f450(x30022,f228(x30022,x30021))))))
% 15.61/15.73 [3003]P5(f394(a356,x30031))+~P5(f427(a344,f512(x30032,x30031)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30031)),f405(f55(f33(a328,x30032)),f438(x30032,f278(x30032,x30031))))))
% 15.61/15.73 [3004]P5(f394(a356,x30041))+~P5(f406(a349,f495(x30042,x30041)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30041)),f421(f60(f40(a327,x30042)),f439(x30042,f276(x30042,x30041))))))
% 15.61/15.73 [3005]P5(f394(a356,x30051))+~P5(f395(a335,f491(x30052,x30051)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30051)),f402(f66(f29(a330,x30052)),f443(x30052,f274(x30052,x30051))))))
% 15.61/15.73 [3006]P5(f394(a356,x30061))+~P5(f366(a345,f499(x30062,x30061)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30061)),f404(f54(f41(a329,x30062)),f447(x30062,f275(x30062,x30061))))))
% 15.61/15.73 [3007]P5(f420(a357,x30071))+~P5(f394(a356,f361(x30072,x30071)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30071)),f447(f72(f30(a323,x30072)),f363(x30072,f280(x30072,x30071))))))
% 15.61/15.73 [3008]P5(f420(a357,x30081))+~P5(f427(a344,f513(x30082,x30081)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30081)),f415(f62(f28(a328,x30082)),f451(x30082,f273(x30082,x30081))))))
% 15.61/15.73 [3009]P5(f420(a357,x30091))+~P5(f406(a349,f469(x30092,x30091)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30091)),f382(f63(f34(a327,x30092)),f452(x30092,f272(x30092,x30091))))))
% 15.61/15.73 [3010]P5(f420(a357,x30101))+~P5(f395(a335,f486(x30102,x30101)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30101)),f414(f67(f24(a330,x30102)),f457(x30102,f229(x30102,x30101))))))
% 15.61/15.73 [3011]P5(f420(a357,x30111))+~P5(f366(a345,f493(x30112,x30111)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30111)),f425(f61(f35(a329,x30112)),f460(x30112,f271(x30112,x30111))))))
% 15.61/15.73 [3038]P5(f365(a355,x30381))+~P5(f364(a318,f514(x30382,x30381)))+~P5(f365(a355,f92(f79(f45(a325,f426(f51(a526),x30381)),f373(f73(f26(a324,x30382)),f475(x30382,f227(x30382,x30381)))))))
% 15.61/15.73 [1642]E(x16421,x16422)+E(x16423,a1)+~E(f362(f464(a572,x16423),x16421),f362(f464(a572,x16423),x16422))
% 15.61/15.73 [1643]E(x16431,x16432)+E(x16433,a1)+~E(f362(f464(a572,x16431),x16433),f362(f464(a572,x16432),x16433))
% 15.61/15.73 [1717]~E(x17171,f402(f441(a517,x17172),x17173))+~P5(f394(a356,x17173))+P5(f394(a356,x17171))
% 15.61/15.73 [1718]~E(x17181,f425(f461(a516,x17182),x17183))+~P5(f420(a357,x17183))+P5(f420(a357,x17181))
% 15.61/15.73 [1738]~E(x17383,a3)+~E(x17383,f402(f441(a517,x17381),x17382))+P5(f394(f445(a528,x17381),x17382))
% 15.61/15.73 [1739]~E(x17393,a10)+~E(x17393,f425(f461(a516,x17391),x17392))+P5(f420(f462(a527,x17391),x17392))
% 15.61/15.73 [1913]~E(f362(f464(a540,x19131),x19133),x19132)+E(x19131,f362(f464(a567,x19132),x19133))+~P5(f458(f460(a550,x19133),x19131))
% 15.61/15.73 [1914]~E(x19141,f362(f464(a567,x19143),x19142))+E(f362(f464(a540,x19141),x19142),x19143)+~P5(f458(f460(a550,x19142),x19141))
% 15.61/15.73 [1924]E(x19241,x19242)+~E(f362(f464(a572,x19243),x19241),f362(f464(a572,x19243),x19242))+~P5(f458(f460(a549,a1),x19243))
% 15.61/15.73 [2030]~E(x20301,f362(a571,x20303))+~P5(f458(f460(a549,x20303),x20302))+P5(f458(f460(a549,x20301),f362(a571,x20302)))
% 15.61/15.73 [2045]P5(f364(a318,x20451))+~P5(f364(a318,x20452))+~P5(f364(f392(a552,x20451),f496(x20453,x20452)))
% 15.61/15.73 [2046]P5(f364(a318,x20461))+~P5(f365(a355,x20462))+~P5(f364(f392(a552,x20461),f514(x20463,x20462)))
% 15.61/15.73 [2047]P5(f364(a318,x20471))+~P5(f394(a356,x20472))+~P5(f364(f392(a552,x20471),f465(x20473,x20472)))
% 15.61/15.73 [2048]P5(f364(a318,x20481))+~P5(f420(a357,x20482))+~P5(f364(f392(a552,x20481),f510(x20483,x20482)))
% 15.61/15.73 [2049]P5(f364(a318,x20491))+~P5(f427(a344,x20492))+~P5(f364(f392(a552,x20491),f500(x20493,x20492)))
% 15.61/15.73 [2050]P5(f364(a318,x20501))+~P5(f406(a349,x20502))+~P5(f364(f392(a552,x20501),f497(x20503,x20502)))
% 15.61/15.73 [2051]P5(f364(a318,x20511))+~P5(f395(a335,x20512))+~P5(f364(f392(a552,x20511),f466(x20513,x20512)))
% 15.61/15.73 [2052]P5(f364(a318,x20521))+~P5(f366(a345,x20522))+~P5(f364(f392(a552,x20521),f509(x20523,x20522)))
% 15.61/15.73 [2053]P5(f365(a355,x20531))+~P5(f364(a318,x20532))+~P5(f365(f419(a557,x20531),f501(x20533,x20532)))
% 15.61/15.73 [2054]P5(f365(a355,x20541))+~P5(f365(a355,x20542))+~P5(f365(f419(a557,x20541),f519(x20543,x20542)))
% 15.61/15.73 [2055]P5(f365(a355,x20551))+~P5(f394(a356,x20552))+~P5(f365(f419(a557,x20551),f511(x20553,x20552)))
% 15.61/15.73 [2056]P5(f365(a355,x20561))+~P5(f420(a357,x20562))+~P5(f365(f419(a557,x20561),f515(x20563,x20562)))
% 15.61/15.73 [2057]P5(f365(a355,x20571))+~P5(f427(a344,x20572))+~P5(f365(f419(a557,x20571),f487(x20573,x20572)))
% 15.61/15.73 [2058]P5(f365(a355,x20581))+~P5(f406(a349,x20582))+~P5(f365(f419(a557,x20581),f480(x20583,x20582)))
% 15.61/15.73 [2059]P5(f365(a355,x20591))+~P5(f395(a335,x20592))+~P5(f365(f419(a557,x20591),f467(x20593,x20592)))
% 15.61/15.73 [2060]P5(f365(a355,x20601))+~P5(f366(a345,x20602))+~P5(f365(f419(a557,x20601),f468(x20603,x20602)))
% 15.61/15.73 [2061]P5(f394(a356,x20611))+~P5(f364(a318,x20612))+~P5(f394(f413(a553,x20611),f503(x20613,x20612)))
% 15.61/15.73 [2062]P5(f394(a356,x20621))+~P5(f420(a357,x20622))+~P5(f394(f413(a553,x20621),f361(x20623,x20622)))
% 15.61/15.73 [2063]P5(f394(a356,x20631))+~P5(f427(a344,x20632))+~P5(f394(f413(a553,x20631),f507(x20633,x20632)))
% 15.61/15.73 [2064]P5(f394(a356,x20641))+~P5(f406(a349,x20642))+~P5(f394(f413(a553,x20641),f490(x20643,x20642)))
% 15.61/15.73 [2065]P5(f394(a356,x20651))+~P5(f395(a335,x20652))+~P5(f394(f413(a553,x20651),f489(x20653,x20652)))
% 15.61/15.73 [2066]P5(f394(a356,x20661))+~P5(f366(a345,x20662))+~P5(f394(f413(a553,x20661),f482(x20663,x20662)))
% 15.61/15.73 [2067]P5(f420(a357,x20671))+~P5(f364(a318,x20672))+~P5(f420(f376(a554,x20671),f506(x20673,x20672)))
% 15.61/15.73 [2068]P5(f420(a357,x20681))+~P5(f427(a344,x20682))+~P5(f420(f376(a554,x20681),f508(x20683,x20682)))
% 15.61/15.73 [2069]P5(f420(a357,x20691))+~P5(f406(a349,x20692))+~P5(f420(f376(a554,x20691),f484(x20693,x20692)))
% 15.61/15.73 [2070]P5(f420(a357,x20701))+~P5(f395(a335,x20702))+~P5(f420(f376(a554,x20701),f483(x20703,x20702)))
% 15.61/15.73 [2071]P5(f420(a357,x20711))+~P5(f366(a345,x20712))+~P5(f420(f376(a554,x20711),f494(x20713,x20712)))
% 15.61/15.73 [2072]P5(f427(a344,x20721))+~P5(f365(a355,x20722))+~P5(f427(f385(a555,x20721),f481(x20723,x20722)))
% 15.61/15.73 [2073]P5(f427(a344,x20731))+~P5(f394(a356,x20732))+~P5(f427(f385(a555,x20731),f512(x20733,x20732)))
% 15.61/15.73 [2074]P5(f427(a344,x20741))+~P5(f420(a357,x20742))+~P5(f427(f385(a555,x20741),f513(x20743,x20742)))
% 15.61/15.73 [2075]P5(f406(a349,x20751))+~P5(f365(a355,x20752))+~P5(f406(f422(a560,x20751),f488(x20753,x20752)))
% 15.61/15.73 [2076]P5(f406(a349,x20761))+~P5(f394(a356,x20762))+~P5(f406(f422(a560,x20761),f495(x20763,x20762)))
% 15.61/15.73 [2077]P5(f406(a349,x20771))+~P5(f420(a357,x20772))+~P5(f406(f422(a560,x20771),f469(x20773,x20772)))
% 15.61/15.73 [2078]P5(f395(a335,x20781))+~P5(f365(a355,x20782))+~P5(f395(f418(a558,x20781),f485(x20783,x20782)))
% 15.61/15.73 [2079]P5(f395(a335,x20791))+~P5(f394(a356,x20792))+~P5(f395(f418(a558,x20791),f491(x20793,x20792)))
% 15.61/15.73 [2080]P5(f395(a335,x20801))+~P5(f420(a357,x20802))+~P5(f395(f418(a558,x20801),f486(x20803,x20802)))
% 15.61/15.73 [2081]P5(f366(a345,x20811))+~P5(f365(a355,x20812))+~P5(f366(f400(a556,x20811),f492(x20813,x20812)))
% 15.61/15.73 [2082]P5(f366(a345,x20821))+~P5(f394(a356,x20822))+~P5(f366(f400(a556,x20821),f499(x20823,x20822)))
% 15.61/15.73 [2083]P5(f366(a345,x20831))+~P5(f420(a357,x20832))+~P5(f366(f400(a556,x20831),f493(x20833,x20832)))
% 15.61/15.73 [2127]~P5(f449(f443(a551,x21271),x21273))+P5(f449(f443(a551,x21271),x21272))+~P5(f449(f443(a551,x21273),x21272))
% 15.61/15.73 [2130]~P5(f458(f460(a550,x21301),x21303))+P5(f458(f460(a550,x21301),x21302))+~P5(f458(f460(a550,x21303),x21302))
% 15.61/15.73 [2134]~P5(f364(f372(a530,x21341),x21343))+~P5(f364(f392(a552,x21343),x21342))+P5(f364(f372(a530,x21341),x21342))
% 15.61/15.73 [2137]~P5(f364(f392(a552,x21371),x21373))+P5(f364(f392(a552,x21371),x21372))+~P5(f364(f392(a552,x21373),x21372))
% 15.61/15.73 [2141]~P5(f365(f471(a526,x21411),x21413))+~P5(f365(f419(a557,x21413),x21412))+P5(f365(f471(a526,x21411),x21412))
% 15.61/15.73 [2144]~P5(f394(f413(a553,x21441),x21443))+P5(f394(f413(a553,x21441),x21442))+~P5(f394(f413(a553,x21443),x21442))
% 15.61/15.73 [2148]~P5(f394(f445(a528,x21481),x21483))+P5(f394(f445(a528,x21481),x21482))+~P5(f394(f413(a553,x21483),x21482))
% 15.61/15.73 [2151]~P5(f420(f376(a554,x21511),x21513))+P5(f420(f376(a554,x21511),x21512))+~P5(f420(f376(a554,x21513),x21512))
% 15.61/15.73 [2155]~P5(f420(f462(a527,x21551),x21553))+P5(f420(f462(a527,x21551),x21552))+~P5(f420(f376(a554,x21553),x21552))
% 15.61/15.73 [2157]~P1(x21571)+P7(f289(x21571,x21572,x21573))+~P5(f364(f392(a552,x21571),f514(x21572,x21573)))
% 15.61/15.73 [2158]~P4(x21581)+P8(f282(x21581,x21582,x21583))+~P5(f364(f372(a530,x21581),f514(x21582,x21583)))
% 15.61/15.73 [2159]~P4(x21591)+P8(f291(x21591,x21592,x21593))+~P5(f364(f372(a530,x21591),f514(x21592,x21593)))
% 15.61/15.73 [2175]~P1(x21752)+E(f514(x21751,f289(x21752,x21751,x21753)),x21752)+~P5(f364(f392(a552,x21752),f514(x21751,x21753)))
% 15.61/15.73 [2176]~P4(x21762)+E(f475(x21761,f282(x21762,x21761,x21763)),x21762)+~P5(f364(f372(a530,x21762),f514(x21761,x21763)))
% 15.61/15.73 [2177]~P4(x21772)+E(f475(x21771,f291(x21772,x21771,x21773)),x21772)+~P5(f364(f372(a530,x21772),f514(x21771,x21773)))
% 15.61/15.73 [2298]P1(f284(x22981,x22982,x22983))+~P5(f395(a335,x22983))+~P5(f395(f418(a558,x22983),f504(x22981,x22982)))
% 15.61/15.73 [2299]P1(f297(x22991,x22992,x22993))+~P5(f366(a345,x22993))+~P5(f366(f400(a556,x22993),f505(x22991,x22992)))
% 15.61/15.73 [2300]P1(f165(x23001,x23002,x23003))+~P5(f420(a357,x23003))+~P5(f420(f376(a554,x23003),f506(x23001,x23002)))
% 15.61/15.73 [2301]P1(f230(x23011,x23012,x23013))+~P5(f394(a356,x23013))+~P5(f394(f413(a553,x23013),f503(x23011,x23012)))
% 15.61/15.73 [2302]P7(f218(x23021,x23022,x23023))+~P5(f420(a357,x23023))+~P5(f420(f376(a554,x23023),f520(x23021,x23022)))
% 15.61/15.73 [2303]P7(f235(x23031,x23032,x23033))+~P5(f394(a356,x23033))+~P5(f394(f413(a553,x23033),f521(x23031,x23032)))
% 15.61/15.73 [2304]P7(f242(x23041,x23042,x23043))+~P5(f395(a335,x23043))+~P5(f395(f418(a558,x23043),f485(x23041,x23042)))
% 15.61/15.73 [2305]P7(f243(x23051,x23052,x23053))+~P5(f366(a345,x23053))+~P5(f366(f400(a556,x23053),f492(x23051,x23052)))
% 15.61/15.73 [2306]P2(f201(x23061,x23062,x23063))+~P5(f420(a357,x23063))+~P5(f420(f376(a554,x23063),f508(x23061,x23062)))
% 15.61/15.73 [2307]P2(f236(x23071,x23072,x23073))+~P5(f394(a356,x23073))+~P5(f394(f413(a553,x23073),f507(x23071,x23072)))
% 15.61/15.73 [2308]P6(f196(x23081,x23082,x23083))+~P5(f420(a357,x23083))+~P5(f420(f376(a554,x23083),f484(x23081,x23082)))
% 15.61/15.73 [2309]P6(f237(x23091,x23092,x23093))+~P5(f394(a356,x23093))+~P5(f394(f413(a553,x23093),f490(x23091,x23092)))
% 15.61/15.73 [2342]E(f485(x23421,f242(x23421,x23422,x23423)),x23423)+~P5(f395(a335,x23423))+~P5(f395(f418(a558,x23423),f485(x23421,x23422)))
% 15.61/15.73 [2343]E(f492(x23431,f243(x23431,x23432,x23433)),x23433)+~P5(f366(a345,x23433))+~P5(f366(f400(a556,x23433),f492(x23431,x23432)))
% 15.61/15.73 [2344]E(f486(x23441,f250(x23441,x23442,x23443)),x23443)+~P5(f395(a335,x23443))+~P5(f395(f418(a558,x23443),f486(x23441,x23442)))
% 15.61/15.73 [2345]E(f493(x23451,f252(x23451,x23452,x23453)),x23453)+~P5(f366(a345,x23453))+~P5(f366(f400(a556,x23453),f493(x23451,x23452)))
% 15.61/15.73 [2346]E(f491(x23461,f253(x23461,x23462,x23463)),x23463)+~P5(f395(a335,x23463))+~P5(f395(f418(a558,x23463),f491(x23461,x23462)))
% 15.61/15.73 [2347]E(f499(x23471,f258(x23471,x23472,x23473)),x23473)+~P5(f366(a345,x23473))+~P5(f366(f400(a556,x23473),f499(x23471,x23472)))
% 15.61/15.73 [2348]E(f506(x23481,f165(x23481,x23482,x23483)),x23483)+~P5(f420(a357,x23483))+~P5(f420(f376(a554,x23483),f506(x23481,x23482)))
% 15.61/15.73 [2349]E(f483(x23491,f176(x23491,x23492,x23493)),x23493)+~P5(f420(a357,x23493))+~P5(f420(f376(a554,x23493),f483(x23491,x23492)))
% 15.61/15.73 [2350]E(f494(x23501,f186(x23501,x23502,x23503)),x23503)+~P5(f420(a357,x23503))+~P5(f420(f376(a554,x23503),f494(x23501,x23502)))
% 15.61/15.73 [2351]E(f484(x23511,f196(x23511,x23512,x23513)),x23513)+~P5(f420(a357,x23513))+~P5(f420(f376(a554,x23513),f484(x23511,x23512)))
% 15.61/15.73 [2352]E(f508(x23521,f201(x23521,x23522,x23523)),x23523)+~P5(f420(a357,x23523))+~P5(f420(f376(a554,x23523),f508(x23521,x23522)))
% 15.61/15.73 [2353]E(f503(x23531,f230(x23531,x23532,x23533)),x23533)+~P5(f394(a356,x23533))+~P5(f394(f413(a553,x23533),f503(x23531,x23532)))
% 15.61/15.73 [2354]E(f489(x23541,f238(x23541,x23542,x23543)),x23543)+~P5(f394(a356,x23543))+~P5(f394(f413(a553,x23543),f489(x23541,x23542)))
% 15.61/15.73 [2355]E(f482(x23551,f241(x23551,x23552,x23553)),x23553)+~P5(f394(a356,x23553))+~P5(f394(f413(a553,x23553),f482(x23551,x23552)))
% 15.61/15.73 [2356]E(f490(x23561,f237(x23561,x23562,x23563)),x23563)+~P5(f394(a356,x23563))+~P5(f394(f413(a553,x23563),f490(x23561,x23562)))
% 15.61/15.73 [2357]E(f507(x23571,f236(x23571,x23572,x23573)),x23573)+~P5(f394(a356,x23573))+~P5(f394(f413(a553,x23573),f507(x23571,x23572)))
% 15.61/15.73 [2358]E(f361(x23581,f263(x23581,x23582,x23583)),x23583)+~P5(f394(a356,x23583))+~P5(f394(f413(a553,x23583),f361(x23581,x23582)))
% 15.61/15.73 [2359]E(f520(x23591,f218(x23591,x23592,x23593)),x23593)+~P5(f420(a357,x23593))+~P5(f420(f376(a554,x23593),f520(x23591,x23592)))
% 15.61/15.73 [2360]E(f521(x23601,f235(x23601,x23602,x23603)),x23603)+~P5(f394(a356,x23603))+~P5(f394(f413(a553,x23603),f521(x23601,x23602)))
% 15.61/15.73 [2361]E(f504(x23611,f284(x23611,x23612,x23613)),x23613)+~P5(f395(a335,x23613))+~P5(f395(f418(a558,x23613),f504(x23611,x23612)))
% 15.61/15.73 [2362]E(f505(x23621,f297(x23621,x23622,x23623)),x23623)+~P5(f366(a345,x23623))+~P5(f366(f400(a556,x23623),f505(x23621,x23622)))
% 15.61/15.73 [2573]~P5(f395(a335,x25733))+~P5(f395(f418(a558,x25733),f504(x25731,x25732)))+P5(f364(a318,f284(x25731,x25732,x25733)))
% 15.61/15.73 [2574]~P5(f366(a345,x25743))+~P5(f366(f400(a556,x25743),f505(x25741,x25742)))+P5(f364(a318,f297(x25741,x25742,x25743)))
% 15.61/15.73 [2575]~P5(f420(a357,x25753))+~P5(f420(f376(a554,x25753),f506(x25751,x25752)))+P5(f364(a318,f165(x25751,x25752,x25753)))
% 15.61/15.73 [2576]~P5(f394(a356,x25763))+~P5(f394(f413(a553,x25763),f503(x25761,x25762)))+P5(f364(a318,f230(x25761,x25762,x25763)))
% 15.61/15.73 [2577]~P5(f420(a357,x25773))+~P5(f420(f376(a554,x25773),f520(x25771,x25772)))+P5(f365(a355,f218(x25771,x25772,x25773)))
% 15.61/15.73 [2578]~P5(f394(a356,x25783))+~P5(f394(f413(a553,x25783),f521(x25781,x25782)))+P5(f365(a355,f235(x25781,x25782,x25783)))
% 15.61/15.73 [2579]~P5(f395(a335,x25793))+~P5(f395(f418(a558,x25793),f485(x25791,x25792)))+P5(f365(a355,f242(x25791,x25792,x25793)))
% 15.61/15.73 [2580]~P5(f366(a345,x25803))+~P5(f366(f400(a556,x25803),f492(x25801,x25802)))+P5(f365(a355,f243(x25801,x25802,x25803)))
% 15.61/15.73 [2581]~P5(f395(a335,x25813))+~P5(f395(f418(a558,x25813),f491(x25811,x25812)))+P5(f394(a356,f253(x25811,x25812,x25813)))
% 15.61/15.73 [2582]~P5(f366(a345,x25823))+~P5(f366(f400(a556,x25823),f499(x25821,x25822)))+P5(f394(a356,f258(x25821,x25822,x25823)))
% 15.61/15.73 [2583]~P5(f395(a335,x25833))+~P5(f395(f418(a558,x25833),f486(x25831,x25832)))+P5(f420(a357,f250(x25831,x25832,x25833)))
% 15.61/15.73 [2584]~P5(f366(a345,x25843))+~P5(f366(f400(a556,x25843),f493(x25841,x25842)))+P5(f420(a357,f252(x25841,x25842,x25843)))
% 15.61/15.73 [2585]~P5(f394(a356,x25853))+~P5(f394(f413(a553,x25853),f361(x25851,x25852)))+P5(f420(a357,f263(x25851,x25852,x25853)))
% 15.61/15.73 [2586]~P5(f420(a357,x25863))+~P5(f420(f376(a554,x25863),f508(x25861,x25862)))+P5(f427(a344,f201(x25861,x25862,x25863)))
% 15.61/15.73 [2587]~P5(f394(a356,x25873))+~P5(f394(f413(a553,x25873),f507(x25871,x25872)))+P5(f427(a344,f236(x25871,x25872,x25873)))
% 15.61/15.73 [2588]~P5(f420(a357,x25883))+~P5(f420(f376(a554,x25883),f484(x25881,x25882)))+P5(f406(a349,f196(x25881,x25882,x25883)))
% 15.61/15.73 [2589]~P5(f394(a356,x25893))+~P5(f394(f413(a553,x25893),f490(x25891,x25892)))+P5(f406(a349,f237(x25891,x25892,x25893)))
% 15.61/15.73 [2590]~P5(f420(a357,x25903))+~P5(f420(f376(a554,x25903),f483(x25901,x25902)))+P5(f395(a335,f176(x25901,x25902,x25903)))
% 15.61/15.73 [2591]~P5(f394(a356,x25913))+~P5(f394(f413(a553,x25913),f489(x25911,x25912)))+P5(f395(a335,f238(x25911,x25912,x25913)))
% 15.61/15.73 [2592]~P5(f420(a357,x25923))+~P5(f420(f376(a554,x25923),f494(x25921,x25922)))+P5(f366(a345,f186(x25921,x25922,x25923)))
% 15.61/15.73 [2593]~P5(f394(a356,x25933))+~P5(f394(f413(a553,x25933),f482(x25931,x25932)))+P5(f366(a345,f241(x25931,x25932,x25933)))
% 15.61/15.73 [2911]P5(f458(f460(a549,f177(x29112,x29113,x29111)),f178(x29112,x29113,x29111)))+~P5(f458(f460(a550,x29112),x29113))+P5(f458(f460(a550,f362(x29111,x29112)),f362(x29111,x29113)))
% 15.61/15.73 [1740]~P4(x17402)+~P5(f358(x17403,x17401))+E(f437(x17401,f401(f369(a518,x17402),a4)),x17402)
% 15.61/15.73 [2262]E(f425(f397(a539,x22621),f425(f397(a539,x22622),x22623)),x22623)+~P5(f420(f376(a554,x22621),x22622))+~P5(f420(f376(a554,x22623),x22621))
% 15.61/15.73 [2263]E(f402(f368(a536,x22631),f402(f368(a536,x22632),x22633)),x22633)+~P5(f394(f413(a553,x22631),x22632))+~P5(f394(f413(a553,x22633),x22631))
% 15.61/15.73 [2318]E(f362(f464(a567,x23181),f184(x23182,x23183,x23181)),x23183)+~P5(f458(x23182,a1))+P5(f458(x23182,f362(f464(a540,x23183),x23181)))
% 15.61/15.73 [2319]E(f362(f464(a567,x23191),f185(x23192,x23193,x23191)),x23193)+~P5(f458(x23192,a1))+P5(f458(x23192,f362(f464(a540,x23193),x23191)))
% 15.61/15.73 [2424]E(f362(f464(a567,x24241),f184(x24242,x24243,x24241)),x24243)+P5(f458(f460(a549,x24243),x24241))+P5(f458(x24242,f362(f464(a540,x24243),x24241)))
% 15.61/15.73 [2425]E(f362(f464(a567,x24251),f185(x24252,x24253,x24251)),x24253)+P5(f458(f460(a549,x24253),x24251))+P5(f458(x24252,f362(f464(a540,x24253),x24251)))
% 15.61/15.73 [2431]~P5(f458(f460(a549,x24311),x24313))+~P5(f458(f460(a549,x24313),x24312))+P5(f458(f460(a549,f362(a571,x24311)),x24312))
% 15.61/15.73 [2453]~P5(f364(f372(a530,x24531),x24533))+P5(f364(f372(a530,x24531),x24532))+P5(f364(f372(a530,x24531),f401(f396(a535,x24533),x24532)))
% 15.61/15.73 [2455]~P5(f365(f419(a557,x24552),x24553))+P5(f365(f471(a526,x24551),x24552))+P5(f365(f419(a557,x24552),f426(f478(a529,x24551),x24553)))
% 15.61/15.73 [2457]~P5(f365(f471(a526,x24571),x24573))+P5(f365(f471(a526,x24571),x24572))+P5(f365(f471(a526,x24571),f426(f386(a538,x24573),x24572)))
% 15.61/15.73 [2461]~P5(f394(f445(a528,x24611),x24613))+P5(f394(f445(a528,x24611),x24612))+P5(f394(f445(a528,x24611),f402(f368(a536,x24613),x24612)))
% 15.61/15.73 [2465]~P5(f420(f462(a527,x24651),x24653))+P5(f420(f462(a527,x24651),x24652))+P5(f420(f462(a527,x24651),f425(f397(a539,x24653),x24652)))
% 15.61/15.73 [2467]P5(f458(x24671,a1))+~P5(f458(f460(a549,x24672),x24673))+~P5(f458(x24671,f362(f464(a540,x24672),x24673)))
% 15.61/15.73 [2483]E(x24831,x24832)+P5(f394(f445(a528,x24831),x24833))+~P5(f394(f445(a528,x24831),f402(f441(a517,x24832),x24833)))
% 15.61/15.73 [2485]E(x24851,x24852)+P5(f420(f462(a527,x24851),x24853))+~P5(f420(f462(a527,x24851),f425(f461(a516,x24852),x24853)))
% 15.61/15.73 [2621]P5(f364(f372(a530,x26211),x26212))+P5(f364(f392(a552,x26212),x26213))+~P5(f364(f392(a552,x26212),f401(f369(a518,x26211),x26213)))
% 15.61/15.73 [2623]P5(f365(f471(a526,x26231),x26232))+P5(f365(f419(a557,x26232),x26233))+~P5(f365(f419(a557,x26232),f426(f478(a529,x26231),x26233)))
% 15.61/15.73 [2625]P5(f394(f413(a553,x26251),x26252))+P5(f394(f445(a528,x26253),x26251))+~P5(f394(f413(a553,x26251),f402(f441(a517,x26253),x26252)))
% 15.61/15.73 [2627]P5(f420(f376(a554,x26271),x26272))+P5(f420(f462(a527,x26273),x26271))+~P5(f420(f376(a554,x26271),f425(f461(a516,x26273),x26272)))
% 15.61/15.73 [2638]E(f362(f464(a540,f362(f464(a540,x26381),x26382)),f362(f464(a540,x26383),x26382)),f362(f464(a540,x26381),x26383))+~P5(f458(f460(a550,x26382),x26381))+~P5(f458(f460(a550,x26382),x26383))
% 15.61/15.73 [2670]~P5(f458(x26701,a1))+~P5(f458(x26701,f184(x26701,x26702,x26703)))+P5(f458(x26701,f362(f464(a540,x26702),x26703)))
% 15.61/15.73 [2671]~P5(f458(x26711,a1))+~P5(f458(x26711,f185(x26711,x26712,x26713)))+P5(f458(x26711,f362(f464(a540,x26712),x26713)))
% 15.61/15.73 [2680]~P5(f458(x26801,x26802))+~P5(f458(x26801,f281(x26803,x26801,x26802)))+P5(f458(x26801,f362(f464(a540,x26802),x26803)))
% 15.61/15.73 [2712]~P5(f458(x27123,f184(x27123,x27121,x27122)))+P5(f458(f460(a549,x27121),x27122))+P5(f458(x27123,f362(f464(a540,x27121),x27122)))
% 15.61/15.73 [2713]~P5(f458(x27133,f185(x27133,x27131,x27132)))+P5(f458(f460(a549,x27131),x27132))+P5(f458(x27133,f362(f464(a540,x27131),x27132)))
% 15.61/15.73 [2758]~P4(x27581)+~P5(f364(f372(a530,x27581),f514(x27582,x27583)))+P5(f365(f471(a526,f282(x27581,x27582,x27583)),x27583))
% 15.61/15.73 [2759]~P4(x27591)+~P5(f364(f372(a530,x27591),f514(x27592,x27593)))+P5(f365(f471(a526,f291(x27591,x27592,x27593)),x27593))
% 15.61/15.73 [2760]~P1(x27601)+~P5(f364(f392(a552,x27601),f514(x27602,x27603)))+P5(f365(f419(a557,f289(x27601,x27602,x27603)),x27603))
% 15.61/15.73 [2762]~P5(f458(x27621,x27622))+P5(f458(x27621,f362(f464(a540,x27622),x27623)))+P5(f458(x27621,f362(a571,f281(x27623,x27621,x27622))))
% 15.61/15.73 [2767]~P5(f449(f443(a563,a11),x27671))+~P5(f449(f443(a563,x27672),x27673))+P5(f449(f443(a563,f454(f453(a573,x27671),x27672)),f454(f453(a573,x27671),x27673)))
% 15.61/15.73 [2772]~P5(f458(f460(a549,a1),x27722))+~P5(f458(f460(a549,x27721),x27723))+P5(f458(f460(a549,f362(f464(a572,x27721),x27722)),f362(f464(a572,x27723),x27722)))
% 15.61/15.73 [2773]~P5(f458(f460(a549,a1),x27731))+~P5(f458(f460(a549,x27732),x27733))+P5(f458(f460(a549,f362(f464(a572,x27731),x27732)),f362(f464(a572,x27731),x27733)))
% 15.61/15.73 [2786]~P5(f458(f460(a549,x27863),x27862))+~P5(f458(f460(a549,x27863),x27861))+P5(f458(f460(a549,f362(f464(a540,x27861),x27862)),f362(f464(a540,x27861),x27863)))
% 15.61/15.73 [2787]~P5(f458(f460(a550,x27872),x27871))+~P5(f458(f460(a549,x27871),x27873))+P5(f458(f460(a549,f362(f464(a540,x27871),x27872)),f362(f464(a540,x27873),x27872)))
% 15.61/15.73 [2794]~P5(f395(a335,x27943))+~P5(f395(f418(a558,x27943),f504(x27941,x27942)))+P5(f364(f392(a552,f284(x27941,x27942,x27943)),x27942))
% 15.61/15.73 [2795]~P5(f366(a345,x27953))+~P5(f366(f400(a556,x27953),f505(x27951,x27952)))+P5(f364(f392(a552,f297(x27951,x27952,x27953)),x27952))
% 15.61/15.73 [2796]~P5(f420(a357,x27963))+~P5(f420(f376(a554,x27963),f506(x27961,x27962)))+P5(f364(f392(a552,f165(x27961,x27962,x27963)),x27962))
% 15.61/15.73 [2797]~P5(f394(a356,x27973))+~P5(f394(f413(a553,x27973),f503(x27971,x27972)))+P5(f364(f392(a552,f230(x27971,x27972,x27973)),x27972))
% 15.61/15.73 [2798]~P5(f420(a357,x27983))+~P5(f420(f376(a554,x27983),f520(x27981,x27982)))+P5(f365(f419(a557,f218(x27981,x27982,x27983)),x27982))
% 15.61/15.73 [2799]~P5(f394(a356,x27993))+~P5(f394(f413(a553,x27993),f521(x27991,x27992)))+P5(f365(f419(a557,f235(x27991,x27992,x27993)),x27992))
% 15.61/15.73 [2800]~P5(f395(a335,x28003))+~P5(f395(f418(a558,x28003),f485(x28001,x28002)))+P5(f365(f419(a557,f242(x28001,x28002,x28003)),x28002))
% 15.61/15.73 [2801]~P5(f366(a345,x28013))+~P5(f366(f400(a556,x28013),f492(x28011,x28012)))+P5(f365(f419(a557,f243(x28011,x28012,x28013)),x28012))
% 15.61/15.73 [2802]~P5(f395(a335,x28023))+~P5(f395(f418(a558,x28023),f491(x28021,x28022)))+P5(f394(f413(a553,f253(x28021,x28022,x28023)),x28022))
% 15.61/15.73 [2803]~P5(f366(a345,x28033))+~P5(f366(f400(a556,x28033),f499(x28031,x28032)))+P5(f394(f413(a553,f258(x28031,x28032,x28033)),x28032))
% 15.61/15.73 [2804]~P5(f395(a335,x28043))+~P5(f395(f418(a558,x28043),f486(x28041,x28042)))+P5(f420(f376(a554,f250(x28041,x28042,x28043)),x28042))
% 15.61/15.73 [2805]~P5(f366(a345,x28053))+~P5(f366(f400(a556,x28053),f493(x28051,x28052)))+P5(f420(f376(a554,f252(x28051,x28052,x28053)),x28052))
% 15.61/15.73 [2806]~P5(f394(a356,x28063))+~P5(f394(f413(a553,x28063),f361(x28061,x28062)))+P5(f420(f376(a554,f263(x28061,x28062,x28063)),x28062))
% 15.61/15.73 [2807]~P5(f420(a357,x28073))+~P5(f420(f376(a554,x28073),f508(x28071,x28072)))+P5(f427(f385(a555,f201(x28071,x28072,x28073)),x28072))
% 15.61/15.73 [2808]~P5(f394(a356,x28083))+~P5(f394(f413(a553,x28083),f507(x28081,x28082)))+P5(f427(f385(a555,f236(x28081,x28082,x28083)),x28082))
% 15.61/15.73 [2809]~P5(f420(a357,x28093))+~P5(f420(f376(a554,x28093),f484(x28091,x28092)))+P5(f406(f422(a560,f196(x28091,x28092,x28093)),x28092))
% 15.61/15.73 [2810]~P5(f394(a356,x28103))+~P5(f394(f413(a553,x28103),f490(x28101,x28102)))+P5(f406(f422(a560,f237(x28101,x28102,x28103)),x28102))
% 15.61/15.73 [2811]~P5(f420(a357,x28113))+~P5(f420(f376(a554,x28113),f483(x28111,x28112)))+P5(f395(f418(a558,f176(x28111,x28112,x28113)),x28112))
% 15.61/15.73 [2812]~P5(f394(a356,x28123))+~P5(f394(f413(a553,x28123),f489(x28121,x28122)))+P5(f395(f418(a558,f238(x28121,x28122,x28123)),x28122))
% 15.61/15.73 [2813]~P5(f420(a357,x28133))+~P5(f420(f376(a554,x28133),f494(x28131,x28132)))+P5(f366(f400(a556,f186(x28131,x28132,x28133)),x28132))
% 15.61/15.73 [2814]~P5(f394(a356,x28143))+~P5(f394(f413(a553,x28143),f482(x28141,x28142)))+P5(f366(f400(a556,f241(x28141,x28142,x28143)),x28142))
% 15.61/15.73 [2903]~P5(f458(f460(a549,a1),x29033))+P5(f458(f460(a550,x29031),x29032))+~P5(f458(f460(a550,f362(f464(a572,x29033),x29031)),f362(f464(a572,x29033),x29032)))
% 15.61/15.73 [2904]~P5(f458(f460(a549,a1),x29043))+P5(f458(f460(a550,x29041),x29042))+~P5(f458(f460(a550,f362(f464(a572,x29041),x29043)),f362(f464(a572,x29042),x29043)))
% 15.61/15.73 [3014]~P5(f458(f460(a550,x30142),x30143))+P5(f458(f460(a550,f362(x30141,x30142)),f362(x30141,x30143)))+~P5(f458(f460(a549,f362(x30141,f177(x30142,x30143,x30141))),f362(x30141,f178(x30142,x30143,x30141))))
% 15.61/15.73 [2031]P5(f449(a546,x20311))+~P5(f449(a546,x20312))+E(f362(f464(a567,f316(x20311)),f362(f464(a567,f316(x20312)),x20313)),f362(f464(a567,f316(x20311)),x20313))
% 15.61/15.73 [2571]~P5(f449(x25713,a11))+P5(f458(f460(a550,x25711),x25712))+P5(f449(x25713,f363(a570,f362(f464(a540,x25712),x25711))))
% 15.61/15.73 [2636]P5(f458(f460(a549,x26362),x26361))+P5(f458(f460(a550,x26361),x26362))+P5(f449(x26363,f363(a570,f362(f464(a540,x26362),x26361))))
% 15.61/15.73 [2676]~P5(f364(f372(a530,x26761),x26763))+~P5(f364(f392(a552,x26762),x26763))+P5(f364(f392(a552,f401(f369(a518,x26761),x26762)),x26763))
% 15.61/15.73 [2677]~P5(f365(f471(a526,x26771),x26773))+~P5(f365(f419(a557,x26772),x26773))+P5(f365(f419(a557,f426(f478(a529,x26771),x26772)),x26773))
% 15.61/15.73 [2678]~P5(f394(f413(a553,x26782),x26783))+~P5(f394(f445(a528,x26781),x26783))+P5(f394(f413(a553,f402(f441(a517,x26781),x26782)),x26783))
% 15.61/15.73 [2679]~P5(f420(f376(a554,x26792),x26793))+~P5(f420(f462(a527,x26791),x26793))+P5(f420(f376(a554,f425(f461(a516,x26791),x26792)),x26793))
% 15.61/15.73 [2761]P5(f449(x27611,a11))+~P5(f458(f460(a549,x27612),x27613))+~P5(f449(x27611,f363(a570,f362(f464(a540,x27612),x27613))))
% 15.61/15.73 [2857]~P5(f458(f460(a550,x28572),x28573))+~P5(f458(f460(a550,x28571),f362(f464(a540,x28573),x28572)))+P5(f458(f460(a550,f362(f464(a567,x28571),x28572)),x28573))
% 15.61/15.73 [2891]~P5(f458(f460(a550,x28913),x28912))+P5(f458(f460(a550,x28911),f362(f464(a540,x28912),x28913)))+~P5(f458(f460(a550,f362(f464(a567,x28911),x28913)),x28912))
% 15.61/15.73 [2914]~P5(f449(x29141,a11))+~P5(f449(x29141,f454(f453(a541,f363(a570,x29142)),f363(a570,x29143))))+P5(f449(x29141,f363(a570,f362(f464(a540,x29142),x29143))))
% 15.61/15.73 [2918]~P5(f458(f460(a550,x29183),x29182))+P5(f449(x29181,f454(f453(a541,f363(a570,x29182)),f363(a570,x29183))))+~P5(f449(x29181,f363(a570,f362(f464(a540,x29182),x29183))))
% 15.61/15.73 [2919]P5(f458(f460(a549,x29191),x29192))+~P5(f449(x29193,f454(f453(a541,f363(a570,x29191)),f363(a570,x29192))))+P5(f449(x29193,f363(a570,f362(f464(a540,x29191),x29192))))
% 15.61/15.73 [2924]~P5(f458(f460(a549,a1),x29241))+~P5(f449(f443(a563,x29242),x29243))+P5(f449(f443(a563,f454(f453(a573,f363(a570,x29241)),x29242)),f454(f453(a573,f363(a570,x29241)),x29243)))
% 15.61/15.73 [3024]~P5(f458(f460(a550,x30242),x30243))+P5(f377(f378(a562,f458(x30241,x30242)),f458(x30241,x30243)))+~P5(f377(f378(a562,f458(x30241,f264(x30242,x30243,x30241))),f458(x30241,f362(a571,f264(x30242,x30243,x30241)))))
% 15.61/15.73 [3025]~P5(f458(f460(a550,x30252),x30253))+P5(f449(f443(a551,f363(x30251,x30252)),f363(x30251,x30253)))+~P5(f449(f443(a551,f363(x30251,f268(x30252,x30253,x30251))),f363(x30251,f362(a571,f268(x30252,x30253,x30251)))))
% 15.61/15.73 [3026]~P5(f458(f460(a550,x30262),x30263))+P5(f458(f460(a550,f362(x30261,x30262)),f362(x30261,x30263)))+~P5(f458(f460(a550,f362(x30261,f266(x30262,x30263,x30261))),f362(x30261,f362(a571,f266(x30262,x30263,x30261)))))
% 15.61/15.73 [3027]~P5(f458(f460(a550,x30272),x30273))+P5(f364(f392(a552,f451(x30271,x30272)),f451(x30271,x30273)))+~P5(f364(f392(a552,f451(x30271,f267(x30272,x30273,x30271))),f451(x30271,f362(a571,f267(x30272,x30273,x30271)))))
% 15.61/15.73 [3028]~P5(f458(f460(a550,x30282),x30283))+P5(f365(f419(a557,f452(x30281,x30282)),f452(x30281,x30283)))+~P5(f365(f419(a557,f452(x30281,f265(x30282,x30283,x30281))),f452(x30281,f362(a571,f265(x30282,x30283,x30281)))))
% 15.61/15.73 [3029]~P5(f458(f460(a550,x30292),x30293))+P5(f394(f413(a553,f457(x30291,x30292)),f457(x30291,x30293)))+~P5(f394(f413(a553,f457(x30291,f269(x30292,x30293,x30291))),f457(x30291,f362(a571,f269(x30292,x30293,x30291)))))
% 15.61/15.73 [3030]~P5(f458(f460(a550,x30302),x30303))+P5(f420(f376(a554,f460(x30301,x30302)),f460(x30301,x30303)))+~P5(f420(f376(a554,f460(x30301,f270(x30302,x30303,x30301))),f460(x30301,f362(a571,f270(x30302,x30303,x30301)))))
% 15.61/15.73 [2640]P5(f449(a546,x26401))+P5(f449(a546,x26402))+E(f362(f464(a567,f316(x26401)),f362(f464(a567,f316(x26402)),x26403)),f362(f464(a567,f316(f454(f453(a568,x26401),x26402))),x26403))
% 15.61/15.73 [2933]~P5(f364(f372(a530,x29332),x29331))+~P5(f364(f392(a552,x29331),f401(f369(a518,x29332),x29333)))+P5(f364(f392(a552,f401(f396(a535,x29331),f401(f369(a518,x29332),a4))),x29333))
% 15.61/15.73 [2934]~P5(f365(f471(a526,x29342),x29341))+~P5(f365(f419(a557,x29341),f426(f478(a529,x29342),x29343)))+P5(f365(f419(a557,f426(f386(a538,x29341),f426(f478(a529,x29342),a5))),x29343))
% 15.61/15.73 [2935]~P5(f394(f445(a528,x29352),x29351))+~P5(f394(f413(a553,x29351),f402(f441(a517,x29352),x29353)))+P5(f394(f413(a553,f402(f368(a536,x29351),f402(f441(a517,x29352),a3))),x29353))
% 15.61/15.73 [2936]~P5(f420(f462(a527,x29362),x29361))+~P5(f420(f376(a554,x29361),f425(f461(a516,x29362),x29363)))+P5(f420(f376(a554,f425(f397(a539,x29361),f425(f461(a516,x29362),a10))),x29363))
% 15.61/15.73 [2957]~P5(f364(f372(a530,x29572),x29571))+P5(f364(f392(a552,x29571),f401(f369(a518,x29572),x29573)))+~P5(f364(f392(a552,f401(f396(a535,x29571),f401(f369(a518,x29572),a4))),x29573))
% 15.61/15.73 [2959]~P5(f365(f419(a557,x29591),x29593))+P5(f365(f419(a557,x29591),f426(f478(a529,x29592),x29593)))+~P5(f365(f419(a557,f426(f386(a538,x29591),f426(f478(a529,x29592),a5))),x29593))
% 15.61/15.73 [2960]~P5(f365(f471(a526,x29602),x29601))+P5(f365(f419(a557,x29601),f426(f478(a529,x29602),x29603)))+~P5(f365(f419(a557,f426(f386(a538,x29601),f426(f478(a529,x29602),a5))),x29603))
% 15.61/15.73 [2963]~P5(f394(f445(a528,x29632),x29631))+P5(f394(f413(a553,x29631),f402(f441(a517,x29632),x29633)))+~P5(f394(f413(a553,f402(f368(a536,x29631),f402(f441(a517,x29632),a3))),x29633))
% 15.61/15.73 [2966]~P5(f420(f462(a527,x29662),x29661))+P5(f420(f376(a554,x29661),f425(f461(a516,x29662),x29663)))+~P5(f420(f376(a554,f425(f397(a539,x29661),f425(f461(a516,x29662),a10))),x29663))
% 15.61/15.73 [1649]E(x16491,x16492)+~E(x16493,x16494)+~E(f454(f453(a541,x16493),x16494),f454(f453(a541,x16491),x16492))
% 15.61/15.73 [2040]~E(x20401,f475(x20402,x20404))+~P5(f365(f471(a526,x20404),x20403))+P5(f364(f372(a530,x20401),f514(x20402,x20403)))
% 15.61/15.73 [2041]~E(x20411,f361(x20412,x20414))+~P5(f420(f376(a554,x20414),x20413))+P5(f394(f413(a553,x20411),f361(x20412,x20413)))
% 15.61/15.73 [2044]~E(x20441,f363(x20442,x20444))+~P5(f420(f462(a527,x20444),x20443))+P5(f394(f445(a528,x20441),f361(x20442,x20443)))
% 15.61/15.73 [2122]~E(f454(f453(a541,x21223),x21224),f454(f453(a541,x21221),x21222))+~P5(f449(f443(a551,x21223),x21224))+P5(f449(f443(a551,x21221),x21222))
% 15.61/15.73 [2123]~E(f362(f464(a567,x21233),x21232),f362(f464(a567,x21231),x21234))+~P5(f458(f460(a549,x21233),x21234))+P5(f458(f460(a549,x21231),x21232))
% 15.61/15.73 [1915]~E(x19152,x19153)+~E(x19151,x19154)+E(f425(f461(a516,x19151),f425(f461(a516,x19152),a10)),f425(f461(a516,x19153),f425(f461(a516,x19154),a10)))
% 15.61/15.73 [1916]~E(x19162,x19163)+~E(x19161,x19164)+E(f402(f441(a517,x19161),f402(f441(a517,x19162),a3)),f402(f441(a517,x19163),f402(f441(a517,x19164),a3)))
% 15.61/15.73 [2205]E(x22051,x22052)+E(x22053,x22051)+~E(f425(f461(a516,x22051),f425(f461(a516,x22054),a10)),f425(f461(a516,x22052),f425(f461(a516,x22053),a10)))
% 15.61/15.73 [2206]E(x22061,x22062)+E(x22063,x22061)+~E(f425(f461(a516,x22063),f425(f461(a516,x22062),a10)),f425(f461(a516,x22064),f425(f461(a516,x22061),a10)))
% 15.61/15.73 [2207]E(x22071,x22072)+E(x22073,x22071)+~E(f402(f441(a517,x22071),f402(f441(a517,x22074),a3)),f402(f441(a517,x22072),f402(f441(a517,x22073),a3)))
% 15.61/15.73 [2208]E(x22081,x22082)+E(x22083,x22081)+~E(f402(f441(a517,x22083),f402(f441(a517,x22082),a3)),f402(f441(a517,x22084),f402(f441(a517,x22081),a3)))
% 15.61/15.73 [2209]E(x22091,x22092)+E(x22091,x22093)+~E(f425(f461(a516,x22093),f425(f461(a516,x22092),a10)),f425(f461(a516,x22094),f425(f461(a516,x22091),a10)))
% 15.61/15.73 [2210]E(x22101,x22102)+E(x22101,x22103)+~E(f425(f461(a516,x22101),f425(f461(a516,x22104),a10)),f425(f461(a516,x22102),f425(f461(a516,x22103),a10)))
% 15.61/15.73 [2211]E(x22111,x22112)+E(x22111,x22113)+~E(f402(f441(a517,x22113),f402(f441(a517,x22112),a3)),f402(f441(a517,x22114),f402(f441(a517,x22111),a3)))
% 15.61/15.73 [2212]E(x22121,x22122)+E(x22121,x22123)+~E(f402(f441(a517,x22121),f402(f441(a517,x22124),a3)),f402(f441(a517,x22122),f402(f441(a517,x22123),a3)))
% 15.61/15.73 [2333]P5(f458(x23331,x23332))+~E(x23333,f362(f464(a567,x23334),x23332))+~P5(f458(x23331,f362(f464(a540,x23333),x23334)))
% 15.61/15.73 [2781]~P5(f449(f443(a551,x27812),x27814))+~P5(f449(f443(a551,x27811),x27813))+P5(f449(f443(a551,f454(f453(a568,x27811),x27812)),f454(f453(a568,x27813),x27814)))
% 15.61/15.73 [2782]~P5(f449(f443(a551,x27822),x27824))+~P5(f449(f443(a563,x27821),x27823))+P5(f449(f443(a563,f454(f453(a568,x27821),x27822)),f454(f453(a568,x27823),x27824)))
% 15.61/15.73 [2784]~P5(f458(f460(a550,x27842),x27844))+~P5(f458(f460(a550,x27841),x27843))+P5(f458(f460(a550,f362(f464(a567,x27841),x27842)),f362(f464(a567,x27843),x27844)))
% 15.61/15.73 [2785]~P5(f458(f460(a550,x27852),x27854))+~P5(f458(f460(a550,x27851),x27853))+P5(f458(f460(a550,f362(f464(a572,x27851),x27852)),f362(f464(a572,x27853),x27854)))
% 15.61/15.73 [2788]~P5(f458(f460(a549,x27882),x27884))+~P5(f458(f460(a549,x27881),x27883))+P5(f458(f460(a549,f362(f464(a567,x27881),x27882)),f362(f464(a567,x27883),x27884)))
% 15.61/15.73 [2789]~P5(f364(f392(a552,x27894),x27892))+~P5(f364(f392(a552,x27891),x27893))+P5(f364(f392(a552,f401(f396(a535,x27891),x27892)),f401(f396(a535,x27893),x27894)))
% 15.61/15.73 [2790]~P5(f394(f413(a553,x27904),x27902))+~P5(f394(f413(a553,x27901),x27903))+P5(f394(f413(a553,f402(f368(a536,x27901),x27902)),f402(f368(a536,x27903),x27904)))
% 15.61/15.73 [2791]~P5(f420(f376(a554,x27914),x27912))+~P5(f420(f376(a554,x27911),x27913))+P5(f420(f376(a554,f425(f397(a539,x27911),x27912)),f425(f397(a539,x27913),x27914)))
% 15.61/15.73 [2941]~P5(f458(f460(a550,x29413),x29412))+~E(f362(f464(a567,f362(f464(a572,x29413),x29414)),x29411),f362(f464(a567,f362(f464(a572,x29412),x29414)),x29415))+E(x29411,f362(f464(a567,f362(f464(a572,f362(f464(a540,x29412),x29413)),x29414)),x29415))
% 15.61/15.73 [2942]~P5(f458(f460(a550,x29422),x29421))+~E(f362(f464(a567,f362(f464(a572,x29421),x29423)),x29424),f362(f464(a567,f362(f464(a572,x29422),x29423)),x29425))+E(f362(f464(a567,f362(f464(a572,f362(f464(a540,x29421),x29422)),x29423)),x29424),x29425)
% 15.61/15.73 [2950]~P5(f458(f460(a550,x29504),x29501))+E(f362(f464(a567,f362(f464(a572,x29501),x29502)),x29503),f362(f464(a567,f362(f464(a572,x29504),x29502)),x29505))+~E(x29505,f362(f464(a567,f362(f464(a572,f362(f464(a540,x29501),x29504)),x29502)),x29503))
% 15.61/15.73 [2951]~P5(f458(f460(a550,x29514),x29511))+E(f362(f464(a567,f362(f464(a572,x29511),x29512)),x29513),f362(f464(a567,f362(f464(a572,x29514),x29512)),x29515))+~E(f362(f464(a567,f362(f464(a572,f362(f464(a540,x29511),x29514)),x29512)),x29513),x29515)
% 15.61/15.73 [3043]~P5(f458(f460(a550,x30433),x30432))+~P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,x30433),x30434)),x30431)),f362(f464(a567,f362(f464(a572,x30432),x30434)),x30435)))+P5(f458(f460(a550,x30431),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30432),x30433)),x30434)),x30435)))
% 15.61/15.73 [3044]~P5(f458(f460(a550,x30443),x30442))+~P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,x30443),x30444)),x30441)),f362(f464(a567,f362(f464(a572,x30442),x30444)),x30445)))+P5(f458(f460(a549,x30441),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30442),x30443)),x30444)),x30445)))
% 15.61/15.73 [3047]~P5(f458(f460(a550,x30471),x30474))+P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,x30471),x30472)),x30473)),f362(f464(a567,f362(f464(a572,x30474),x30472)),x30475)))+~P5(f458(f460(a550,x30473),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30474),x30471)),x30472)),x30475)))
% 15.61/15.73 [3048]~P5(f458(f460(a550,x30481),x30484))+P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,x30481),x30482)),x30483)),f362(f464(a567,f362(f464(a572,x30484),x30482)),x30485)))+~P5(f458(f460(a549,x30483),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30484),x30481)),x30482)),x30485)))
% 15.61/15.73 [3058]~P5(f458(f460(a550,x30582),x30581))+~P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,x30581),x30583)),x30584)),f362(f464(a567,f362(f464(a572,x30582),x30583)),x30585)))+P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30581),x30582)),x30583)),x30584)),x30585))
% 15.61/15.73 [3059]~P5(f458(f460(a550,x30592),x30591))+~P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,x30591),x30593)),x30594)),f362(f464(a567,f362(f464(a572,x30592),x30593)),x30595)))+P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30591),x30592)),x30593)),x30594)),x30595))
% 15.61/15.73 [3061]~P5(f458(f460(a550,x30614),x30611))+P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,x30611),x30612)),x30613)),f362(f464(a567,f362(f464(a572,x30614),x30612)),x30615)))+~P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30611),x30614)),x30612)),x30613)),x30615))
% 15.61/15.73 [3062]~P5(f458(f460(a550,x30624),x30621))+P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,x30621),x30622)),x30623)),f362(f464(a567,f362(f464(a572,x30624),x30622)),x30625)))+~P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30621),x30624)),x30622)),x30623)),x30625))
% 15.61/15.73 [1497]~P1(x14971)+E(x14971,a4)+P1(f99(x14971))+~P5(f364(a318,x14971))
% 15.61/15.73 [1498]~P1(x14981)+E(x14981,a4)+P4(f126(x14981))+~P5(f364(a318,x14981))
% 15.61/15.73 [1499]~P7(x14991)+E(x14991,a5)+P7(f127(x14991))+~P5(f365(a355,x14991))
% 15.61/15.73 [1500]~P7(x15001)+E(x15001,a5)+P8(f133(x15001))+~P5(f365(a355,x15001))
% 15.61/15.73 [1582]~P1(x15821)+E(x15821,a4)+~P5(f364(a318,x15821))+P5(f364(a318,f99(x15821)))
% 15.61/15.73 [1583]~P7(x15831)+E(x15831,a5)+~P5(f365(a355,x15831))+P5(f365(a355,f127(x15831)))
% 15.61/15.73 [1603]~P1(x16031)+E(x16031,a4)+E(f401(f369(a518,f126(x16031)),f99(x16031)),x16031)+~P5(f364(a318,x16031))
% 15.61/15.73 [1604]~P7(x16041)+E(x16041,a5)+E(f426(f478(a529,f133(x16041)),f127(x16041)),x16041)+~P5(f365(a355,x16041))
% 15.61/15.73 [1509]E(x15091,x15092)+~E(f316(x15091),f316(x15092))+P5(f449(a546,x15092))+P5(f449(a546,x15091))
% 15.61/15.73 [1564]~E(x15642,a11)+E(f316(x15641),f316(x15642))+P5(f449(a546,x15642))+~P5(f449(a546,x15641))
% 15.61/15.73 [1572]E(x15721,a11)+~E(f316(x15722),f316(x15721))+P5(f449(a546,x15721))+~P5(f449(a546,x15722))
% 15.61/15.73 [1750]P5(f364(x17501,x17502))+P1(f100(x17501,x17502))+~P5(f364(x17501,a4))+~P5(f364(a318,x17502))
% 15.61/15.73 [1751]P5(f365(x17511,x17512))+P7(f119(x17511,x17512))+~P5(f365(x17511,a5))+~P5(f365(a355,x17512))
% 15.61/15.73 [1752]P5(f364(x17521,x17522))+P4(f101(x17521,x17522))+~P5(f364(x17521,a4))+~P5(f364(a318,x17522))
% 15.61/15.73 [1753]P5(f365(x17531,x17532))+P8(f120(x17531,x17532))+~P5(f365(x17531,a5))+~P5(f365(a355,x17532))
% 15.61/15.73 [1754]~P5(f364(x17541,x17542))+P1(f102(x17541,x17542))+P5(f364(x17541,a4))+~P5(f364(a318,x17542))
% 15.61/15.73 [1755]~P5(f365(x17551,x17552))+P7(f113(x17551,x17552))+P5(f365(x17551,a5))+~P5(f365(a355,x17552))
% 15.61/15.73 [1756]~P5(f364(x17561,x17562))+P4(f103(x17561,x17562))+P5(f364(x17561,a4))+~P5(f364(a318,x17562))
% 15.61/15.73 [1757]~P5(f365(x17571,x17572))+P8(f114(x17571,x17572))+P5(f365(x17571,a5))+~P5(f365(a355,x17572))
% 15.61/15.73 [1708]~P4(x17082)+~P4(x17081)+E(x17081,x17082)+~E(f401(f369(a518,x17081),a4),f401(f369(a518,x17082),a4))
% 15.61/15.73 [1730]~P1(x17302)+~P1(x17301)+E(x17301,x17302)+~P5(f364(f392(a328,x17301),x17302))
% 15.61/15.73 [1731]~P7(x17312)+~P7(x17311)+E(x17311,x17312)+~P5(f365(f419(a327,x17311),x17312))
% 15.61/15.73 [1732]~P4(x17322)+~P4(x17321)+E(x17321,x17322)+~P5(f371(f370(a324,x17321),x17322))
% 15.61/15.73 [1733]~P8(x17332)+~P8(x17331)+E(x17331,x17332)+~P5(f474(f477(a332,x17331),x17332))
% 15.61/15.73 [1764]~E(x17642,a548)+~E(x17641,a548)+E(f454(f453(a573,x17641),x17642),a548)+~P5(f449(f443(a563,a11),x17641))
% 15.61/15.73 [1795]~E(x17952,a11)+E(f316(x17951),f316(x17952))+~P5(f449(a546,x17951))+~P5(f449(f443(a551,x17951),a11))
% 15.61/15.73 [1851]P5(f364(x18511,x18512))+~P5(f364(x18511,a4))+~P5(f364(a318,x18512))+P5(f364(a318,f100(x18511,x18512)))
% 15.61/15.73 [1852]P5(f365(x18521,x18522))+~P5(f365(x18521,a5))+~P5(f365(a355,x18522))+P5(f365(a355,f119(x18521,x18522)))
% 15.61/15.73 [1853]P5(f394(x18531,x18532))+~P5(f394(x18531,a3))+~P5(f394(a356,x18532))+P5(f394(a356,f121(x18531,x18532)))
% 15.61/15.73 [1854]P5(f420(x18541,x18542))+~P5(f420(x18541,a10))+~P5(f420(a357,x18542))+P5(f420(a357,f124(x18541,x18542)))
% 15.61/15.73 [1855]~P5(f364(x18551,x18552))+~P5(f364(a318,x18552))+P5(f364(x18551,a4))+P5(f364(a318,f102(x18551,x18552)))
% 15.61/15.73 [1856]~P5(f365(x18561,x18562))+~P5(f365(a355,x18562))+P5(f365(x18561,a5))+P5(f365(a355,f113(x18561,x18562)))
% 15.61/15.73 [1857]~P5(f394(x18571,x18572))+~P5(f394(a356,x18572))+P5(f394(x18571,a3))+P5(f394(a356,f115(x18571,x18572)))
% 15.61/15.73 [1858]~P5(f420(x18581,x18582))+~P5(f420(a357,x18582))+P5(f420(x18581,a10))+P5(f420(a357,f117(x18581,x18582)))
% 15.61/15.73 [1865]P5(f364(x18651,x18652))+~P5(f364(x18651,a4))+~P5(f364(a318,x18652))+P5(f364(x18651,f100(x18651,x18652)))
% 15.61/15.73 [1866]P5(f365(x18661,x18662))+~P5(f365(x18661,a5))+~P5(f365(a355,x18662))+P5(f365(x18661,f119(x18661,x18662)))
% 15.61/15.73 [1867]P5(f394(x18671,x18672))+~P5(f394(x18671,a3))+~P5(f394(a356,x18672))+P5(f394(x18671,f121(x18671,x18672)))
% 15.61/15.73 [1868]P5(f420(x18681,x18682))+~P5(f420(x18681,a10))+~P5(f420(a357,x18682))+P5(f420(x18681,f124(x18681,x18682)))
% 15.61/15.73 [1869]~P5(f364(x18691,x18692))+~P5(f364(a318,x18692))+P5(f364(x18691,a4))+P5(f364(x18691,f102(x18691,x18692)))
% 15.61/15.73 [1870]~P5(f365(x18701,x18702))+~P5(f365(a355,x18702))+P5(f365(x18701,a5))+P5(f365(x18701,f113(x18701,x18702)))
% 15.61/15.73 [1871]~P5(f394(x18711,x18712))+~P5(f394(a356,x18712))+P5(f394(x18711,a3))+P5(f394(x18711,f115(x18711,x18712)))
% 15.61/15.73 [1872]~P5(f420(x18721,x18722))+~P5(f420(a357,x18722))+P5(f420(x18721,a10))+P5(f420(x18721,f117(x18721,x18722)))
% 15.61/15.73 [2264]~P5(f364(x22641,x22642))+~P5(f364(a318,x22642))+P5(f364(x22641,a4))+P5(f364(f372(a530,f103(x22641,x22642)),f102(x22641,x22642)))
% 15.61/15.73 [2265]~P5(f365(x22651,x22652))+~P5(f365(a355,x22652))+P5(f365(x22651,a5))+P5(f365(f471(a526,f114(x22651,x22652)),f113(x22651,x22652)))
% 15.61/15.73 [2266]~P5(f394(x22661,x22662))+~P5(f394(a356,x22662))+P5(f394(x22661,a3))+P5(f394(f445(a528,f116(x22661,x22662)),f115(x22661,x22662)))
% 15.61/15.73 [2267]~P5(f420(x22671,x22672))+~P5(f420(a357,x22672))+P5(f420(x22671,a10))+P5(f420(f462(a527,f118(x22671,x22672)),f117(x22671,x22672)))
% 15.61/15.73 [2567]P5(f364(x25671,x25672))+~P5(f364(x25671,a4))+~P5(f364(a318,x25672))+~P5(f364(f372(a530,f101(x25671,x25672)),f100(x25671,x25672)))
% 15.61/15.73 [2568]P5(f365(x25681,x25682))+~P5(f365(x25681,a5))+~P5(f365(a355,x25682))+~P5(f365(f471(a526,f120(x25681,x25682)),f119(x25681,x25682)))
% 15.61/15.73 [2569]P5(f394(x25691,x25692))+~P5(f394(x25691,a3))+~P5(f394(a356,x25692))+~P5(f394(f445(a528,f123(x25691,x25692)),f121(x25691,x25692)))
% 15.61/15.73 [2570]P5(f420(x25701,x25702))+~P5(f420(x25701,a10))+~P5(f420(a357,x25702))+~P5(f420(f462(a527,f125(x25701,x25702)),f124(x25701,x25702)))
% 15.61/15.73 [2628]E(x26281,x26282)+~P5(f394(a356,x26281))+~P5(f394(f413(a553,x26282),x26281))+~P5(f458(f460(a550,f436(a352,x26281)),f436(a352,x26282)))
% 15.61/15.73 [2629]E(x26291,x26292)+~P5(f420(a357,x26291))+~P5(f420(f376(a554,x26292),x26291))+~P5(f458(f460(a550,f412(a351,x26291)),f412(a351,x26292)))
% 15.61/15.73 [2630]E(x26301,x26302)+~P5(f395(a335,x26301))+~P5(f395(f418(a558,x26302),x26301))+~P5(f458(f460(a550,f423(a346,x26301)),f423(a346,x26302)))
% 15.61/15.73 [2631]E(x26311,x26312)+~P5(f366(a345,x26311))+~P5(f366(f400(a556,x26312),x26311))+~P5(f458(f460(a550,f434(a348,x26311)),f434(a348,x26312)))
% 15.61/15.73 [2285]~P4(x22852)+~P4(x22851)+E(x22851,x22852)+~P5(f364(f372(a530,x22851),f401(f369(a518,x22852),a4)))
% 15.61/15.73 [2287]~P8(x22872)+~P8(x22871)+E(x22871,x22872)+~P5(f365(f471(a526,x22871),f426(f478(a529,x22872),a5)))
% 15.61/15.73 [2402]~P1(x24021)+E(x24021,a4)+E(x24021,f401(f369(a518,x24022),a4))+~P5(f364(f392(a552,x24021),f401(f369(a518,x24022),a4)))
% 15.61/15.73 [2883]P5(f364(x28831,x28832))+~P5(f364(x28831,a4))+~P5(f364(a318,x28832))+~P5(f364(x28831,f401(f369(a518,f101(x28831,x28832)),f100(x28831,x28832))))
% 15.61/15.73 [2884]P5(f365(x28841,x28842))+~P5(f365(x28841,a5))+~P5(f365(a355,x28842))+~P5(f365(x28841,f426(f478(a529,f120(x28841,x28842)),f119(x28841,x28842))))
% 15.61/15.73 [2885]P5(f394(x28851,x28852))+~P5(f394(x28851,a3))+~P5(f394(a356,x28852))+~P5(f394(x28851,f402(f441(a517,f123(x28851,x28852)),f121(x28851,x28852))))
% 15.61/15.73 [2886]P5(f420(x28861,x28862))+~P5(f420(x28861,a10))+~P5(f420(a357,x28862))+~P5(f420(x28861,f425(f461(a516,f125(x28861,x28862)),f124(x28861,x28862))))
% 15.61/15.73 [2967]~P5(f364(x29671,x29672))+~P5(f364(a318,x29672))+P5(f364(x29671,a4))+~P5(f364(x29671,f401(f396(a535,f102(x29671,x29672)),f401(f369(a518,f103(x29671,x29672)),a4))))
% 15.61/15.73 [2968]~P5(f365(x29681,x29682))+~P5(f365(a355,x29682))+P5(f365(x29681,a5))+~P5(f365(x29681,f426(f386(a538,f113(x29681,x29682)),f426(f478(a529,f114(x29681,x29682)),a5))))
% 15.61/15.73 [2969]~P5(f394(x29691,x29692))+~P5(f394(a356,x29692))+P5(f394(x29691,a3))+~P5(f394(x29691,f402(f368(a536,f115(x29691,x29692)),f402(f441(a517,f116(x29691,x29692)),a3))))
% 15.61/15.73 [2970]~P5(f420(x29701,x29702))+~P5(f420(a357,x29702))+P5(f420(x29701,a10))+~P5(f420(x29701,f425(f397(a539,f117(x29701,x29702)),f425(f461(a516,f118(x29701,x29702)),a10))))
% 15.61/15.73 [2037]E(x20371,x20372)+~E(f402(f441(a517,x20373),x20371),f402(f441(a517,x20373),x20372))+P5(f394(f445(a528,x20373),x20371))+P5(f394(f445(a528,x20373),x20372))
% 15.61/15.73 [2038]E(x20381,x20382)+~E(f425(f461(a516,x20383),x20381),f425(f461(a516,x20383),x20382))+P5(f420(f462(a527,x20383),x20381))+P5(f420(f462(a527,x20383),x20382))
% 15.61/15.73 [2168]~P5(f458(x21681,x21682))+~P5(f458(x21681,x21683))+P5(f458(x21681,a1))+~P5(f458(f460(a550,x21683),f183(x21682,x21681)))
% 15.61/15.73 [2169]~P5(f458(x21691,x21692))+~P5(f458(x21691,x21693))+P5(f458(x21691,a1))+~P5(f458(f460(a549,x21693),f181(x21692,x21691)))
% 15.61/15.73 [2312]E(x23121,x23122)+~E(f362(f464(a540,x23121),x23123),f362(f464(a540,x23122),x23123))+~P5(f458(f460(a550,x23123),x23121))+~P5(f458(f460(a550,x23123),x23122))
% 15.61/15.73 [2320]~P1(x23203)+P1(f277(x23201,x23202,x23203))+~P5(f364(a318,x23203))+~P5(f364(f392(a552,x23203),f496(x23201,x23202)))
% 15.61/15.73 [2321]~P6(x23213)+P1(f306(x23211,x23212,x23213))+~P5(f406(a349,x23213))+~P5(f406(f422(a560,x23213),f498(x23211,x23212)))
% 15.61/15.73 [2322]~P2(x23223)+P1(f315(x23221,x23222,x23223))+~P5(f427(a344,x23223))+~P5(f427(f385(a555,x23223),f502(x23221,x23222)))
% 15.61/15.73 [2323]~P7(x23233)+P1(f112(x23231,x23232,x23233))+~P5(f365(a355,x23233))+~P5(f365(f419(a557,x23233),f501(x23231,x23232)))
% 15.61/15.73 [2324]~P6(x23243)+P7(f244(x23241,x23242,x23243))+~P5(f406(a349,x23243))+~P5(f406(f422(a560,x23243),f488(x23241,x23242)))
% 15.61/15.73 [2325]~P2(x23253)+P7(f245(x23251,x23252,x23253))+~P5(f427(a344,x23253))+~P5(f427(f385(a555,x23253),f481(x23251,x23252)))
% 15.61/15.73 [2326]~P7(x23263)+P7(f247(x23261,x23262,x23263))+~P5(f365(a355,x23263))+~P5(f365(f419(a557,x23263),f519(x23261,x23262)))
% 15.61/15.73 [2327]~P1(x23273)+P7(f248(x23271,x23272,x23273))+~P5(f364(a318,x23273))+~P5(f364(f392(a552,x23273),f514(x23271,x23272)))
% 15.61/15.73 [2328]~P1(x23283)+P2(f262(x23281,x23282,x23283))+~P5(f364(a318,x23283))+~P5(f364(f392(a552,x23283),f500(x23281,x23282)))
% 15.61/15.73 [2329]~P7(x23293)+P2(f145(x23291,x23292,x23293))+~P5(f365(a355,x23293))+~P5(f365(f419(a557,x23293),f487(x23291,x23292)))
% 15.61/15.73 [2330]~P1(x23303)+P6(f249(x23301,x23302,x23303))+~P5(f364(a318,x23303))+~P5(f364(f392(a552,x23303),f497(x23301,x23302)))
% 15.61/15.73 [2331]~P7(x23313)+P6(f141(x23311,x23312,x23313))+~P5(f365(a355,x23313))+~P5(f365(f419(a557,x23313),f480(x23311,x23312)))
% 15.61/15.73 [2368]~P1(x23683)+E(f496(x23681,f277(x23681,x23682,x23683)),x23683)+~P5(f364(a318,x23683))+~P5(f364(f392(a552,x23683),f496(x23681,x23682)))
% 15.61/15.73 [2369]~P7(x23693)+E(f501(x23691,f112(x23691,x23692,x23693)),x23693)+~P5(f365(a355,x23693))+~P5(f365(f419(a557,x23693),f501(x23691,x23692)))
% 15.61/15.73 [2370]~P2(x23703)+E(f502(x23701,f315(x23701,x23702,x23703)),x23703)+~P5(f427(a344,x23703))+~P5(f427(f385(a555,x23703),f502(x23701,x23702)))
% 15.61/15.73 [2371]~P6(x23713)+E(f498(x23711,f306(x23711,x23712,x23713)),x23713)+~P5(f406(a349,x23713))+~P5(f406(f422(a560,x23713),f498(x23711,x23712)))
% 15.61/15.73 [2372]~P1(x23723)+E(f514(x23721,f248(x23721,x23722,x23723)),x23723)+~P5(f364(a318,x23723))+~P5(f364(f392(a552,x23723),f514(x23721,x23722)))
% 15.61/15.73 [2373]~P7(x23733)+E(f519(x23731,f247(x23731,x23732,x23733)),x23733)+~P5(f365(a355,x23733))+~P5(f365(f419(a557,x23733),f519(x23731,x23732)))
% 15.61/15.73 [2374]~P2(x23743)+E(f481(x23741,f245(x23741,x23742,x23743)),x23743)+~P5(f427(a344,x23743))+~P5(f427(f385(a555,x23743),f481(x23741,x23742)))
% 15.61/15.73 [2375]~P6(x23753)+E(f488(x23751,f244(x23751,x23752,x23753)),x23753)+~P5(f406(a349,x23753))+~P5(f406(f422(a560,x23753),f488(x23751,x23752)))
% 15.61/15.73 [2376]~P1(x23763)+E(f465(x23761,f254(x23761,x23762,x23763)),x23763)+~P5(f364(a318,x23763))+~P5(f364(f392(a552,x23763),f465(x23761,x23762)))
% 15.61/15.73 [2377]~P7(x23773)+E(f511(x23771,f259(x23771,x23772,x23773)),x23773)+~P5(f365(a355,x23773))+~P5(f365(f419(a557,x23773),f511(x23771,x23772)))
% 15.61/15.73 [2378]~P2(x23783)+E(f512(x23781,f260(x23781,x23782,x23783)),x23783)+~P5(f427(a344,x23783))+~P5(f427(f385(a555,x23783),f512(x23781,x23782)))
% 15.61/15.73 [2379]~P6(x23793)+E(f495(x23791,f261(x23791,x23792,x23793)),x23793)+~P5(f406(a349,x23793))+~P5(f406(f422(a560,x23793),f495(x23791,x23792)))
% 15.61/15.73 [2380]~P1(x23803)+E(f510(x23801,f251(x23801,x23802,x23803)),x23803)+~P5(f364(a318,x23803))+~P5(f364(f392(a552,x23803),f510(x23801,x23802)))
% 15.61/15.73 [2381]~P7(x23813)+E(f515(x23811,f255(x23811,x23812,x23813)),x23813)+~P5(f365(a355,x23813))+~P5(f365(f419(a557,x23813),f515(x23811,x23812)))
% 15.61/15.73 [2382]~P2(x23823)+E(f513(x23821,f256(x23821,x23822,x23823)),x23823)+~P5(f427(a344,x23823))+~P5(f427(f385(a555,x23823),f513(x23821,x23822)))
% 15.61/15.73 [2383]~P6(x23833)+E(f469(x23831,f257(x23831,x23832,x23833)),x23833)+~P5(f406(a349,x23833))+~P5(f406(f422(a560,x23833),f469(x23831,x23832)))
% 15.61/15.73 [2384]~P1(x23843)+E(f500(x23841,f262(x23841,x23842,x23843)),x23843)+~P5(f364(a318,x23843))+~P5(f364(f392(a552,x23843),f500(x23841,x23842)))
% 15.61/15.73 [2385]~P7(x23853)+E(f487(x23851,f145(x23851,x23852,x23853)),x23853)+~P5(f365(a355,x23853))+~P5(f365(f419(a557,x23853),f487(x23851,x23852)))
% 15.61/15.73 [2386]~P1(x23863)+E(f497(x23861,f249(x23861,x23862,x23863)),x23863)+~P5(f364(a318,x23863))+~P5(f364(f392(a552,x23863),f497(x23861,x23862)))
% 15.61/15.73 [2387]~P7(x23873)+E(f480(x23871,f141(x23871,x23872,x23873)),x23873)+~P5(f365(a355,x23873))+~P5(f365(f419(a557,x23873),f480(x23871,x23872)))
% 15.61/15.73 [2388]~P1(x23883)+E(f466(x23881,f210(x23881,x23882,x23883)),x23883)+~P5(f364(a318,x23883))+~P5(f364(f392(a552,x23883),f466(x23881,x23882)))
% 15.61/15.73 [2389]~P7(x23893)+E(f467(x23891,f122(x23891,x23892,x23893)),x23893)+~P5(f365(a355,x23893))+~P5(f365(f419(a557,x23893),f467(x23891,x23892)))
% 15.61/15.73 [2390]~P1(x23903)+E(f509(x23901,f246(x23901,x23902,x23903)),x23903)+~P5(f364(a318,x23903))+~P5(f364(f392(a552,x23903),f509(x23901,x23902)))
% 15.61/15.73 [2391]~P7(x23913)+E(f468(x23911,f132(x23911,x23912,x23913)),x23913)+~P5(f365(a355,x23913))+~P5(f365(f419(a557,x23913),f468(x23911,x23912)))
% 15.61/15.73 [2496]~P5(f449(x24961,x24963))+P5(f449(x24961,x24962))+P5(f449(x24961,f200(x24961,x24963,x24962)))+~P5(f449(f443(a551,x24963),x24962))
% 15.61/15.73 [2497]~P5(f449(x24971,x24973))+P5(f449(x24971,x24972))+P5(f449(x24971,f197(x24971,x24972,x24973)))+~P5(f449(f443(a551,x24972),x24973))
% 15.61/15.73 [2595]~P5(f449(x25951,x25953))+P5(f449(x25951,x25952))+~P5(f449(f443(a551,x25953),x25952))+P5(f449(f443(a551,x25953),f200(x25951,x25953,x25952)))
% 15.61/15.73 [2596]~P1(x25963)+~P5(f364(a318,x25963))+~P5(f364(f392(a552,x25963),f496(x25961,x25962)))+P5(f364(a318,f277(x25961,x25962,x25963)))
% 15.61/15.73 [2597]~P6(x25973)+~P5(f406(a349,x25973))+~P5(f406(f422(a560,x25973),f498(x25971,x25972)))+P5(f364(a318,f306(x25971,x25972,x25973)))
% 15.61/15.73 [2598]~P2(x25983)+~P5(f427(a344,x25983))+~P5(f427(f385(a555,x25983),f502(x25981,x25982)))+P5(f364(a318,f315(x25981,x25982,x25983)))
% 15.61/15.73 [2599]~P7(x25993)+~P5(f365(a355,x25993))+~P5(f365(f419(a557,x25993),f501(x25991,x25992)))+P5(f364(a318,f112(x25991,x25992,x25993)))
% 15.61/15.73 [2600]~P6(x26003)+~P5(f406(a349,x26003))+~P5(f406(f422(a560,x26003),f488(x26001,x26002)))+P5(f365(a355,f244(x26001,x26002,x26003)))
% 15.61/15.73 [2601]~P2(x26013)+~P5(f427(a344,x26013))+~P5(f427(f385(a555,x26013),f481(x26011,x26012)))+P5(f365(a355,f245(x26011,x26012,x26013)))
% 15.61/15.73 [2602]~P7(x26023)+~P5(f365(a355,x26023))+~P5(f365(f419(a557,x26023),f519(x26021,x26022)))+P5(f365(a355,f247(x26021,x26022,x26023)))
% 15.61/15.73 [2603]~P1(x26033)+~P5(f364(a318,x26033))+~P5(f364(f392(a552,x26033),f514(x26031,x26032)))+P5(f365(a355,f248(x26031,x26032,x26033)))
% 15.61/15.73 [2604]~P1(x26043)+~P5(f364(a318,x26043))+~P5(f364(f392(a552,x26043),f465(x26041,x26042)))+P5(f394(a356,f254(x26041,x26042,x26043)))
% 15.61/15.73 [2605]~P6(x26053)+~P5(f406(a349,x26053))+~P5(f406(f422(a560,x26053),f495(x26051,x26052)))+P5(f394(a356,f261(x26051,x26052,x26053)))
% 15.61/15.73 [2606]~P2(x26063)+~P5(f427(a344,x26063))+~P5(f427(f385(a555,x26063),f512(x26061,x26062)))+P5(f394(a356,f260(x26061,x26062,x26063)))
% 15.61/15.73 [2607]~P7(x26073)+~P5(f365(a355,x26073))+~P5(f365(f419(a557,x26073),f511(x26071,x26072)))+P5(f394(a356,f259(x26071,x26072,x26073)))
% 15.61/15.73 [2608]~P1(x26083)+~P5(f364(a318,x26083))+~P5(f364(f392(a552,x26083),f510(x26081,x26082)))+P5(f420(a357,f251(x26081,x26082,x26083)))
% 15.61/15.73 [2609]~P6(x26093)+~P5(f406(a349,x26093))+~P5(f406(f422(a560,x26093),f469(x26091,x26092)))+P5(f420(a357,f257(x26091,x26092,x26093)))
% 15.61/15.73 [2610]~P2(x26103)+~P5(f427(a344,x26103))+~P5(f427(f385(a555,x26103),f513(x26101,x26102)))+P5(f420(a357,f256(x26101,x26102,x26103)))
% 15.61/15.73 [2611]~P7(x26113)+~P5(f365(a355,x26113))+~P5(f365(f419(a557,x26113),f515(x26111,x26112)))+P5(f420(a357,f255(x26111,x26112,x26113)))
% 15.61/15.73 [2612]~P1(x26123)+~P5(f364(a318,x26123))+~P5(f364(f392(a552,x26123),f500(x26121,x26122)))+P5(f427(a344,f262(x26121,x26122,x26123)))
% 15.61/15.73 [2613]~P7(x26133)+~P5(f365(a355,x26133))+~P5(f365(f419(a557,x26133),f487(x26131,x26132)))+P5(f427(a344,f145(x26131,x26132,x26133)))
% 15.61/15.73 [2614]~P1(x26143)+~P5(f364(a318,x26143))+~P5(f364(f392(a552,x26143),f497(x26141,x26142)))+P5(f406(a349,f249(x26141,x26142,x26143)))
% 15.61/15.73 [2615]~P7(x26153)+~P5(f365(a355,x26153))+~P5(f365(f419(a557,x26153),f480(x26151,x26152)))+P5(f406(a349,f141(x26151,x26152,x26153)))
% 15.61/15.73 [2616]~P1(x26163)+~P5(f364(a318,x26163))+~P5(f364(f392(a552,x26163),f466(x26161,x26162)))+P5(f395(a335,f210(x26161,x26162,x26163)))
% 15.61/15.73 [2617]~P7(x26173)+~P5(f365(a355,x26173))+~P5(f365(f419(a557,x26173),f467(x26171,x26172)))+P5(f395(a335,f122(x26171,x26172,x26173)))
% 15.61/15.73 [2618]~P1(x26183)+~P5(f364(a318,x26183))+~P5(f364(f392(a552,x26183),f509(x26181,x26182)))+P5(f366(a345,f246(x26181,x26182,x26183)))
% 15.61/15.73 [2619]~P7(x26193)+~P5(f365(a355,x26193))+~P5(f365(f419(a557,x26193),f468(x26191,x26192)))+P5(f366(a345,f132(x26191,x26192,x26193)))
% 15.61/15.73 [2661]~P5(f449(x26611,x26613))+P5(f449(x26611,x26612))+P5(f449(x26611,f205(x26612,x26611,x26613)))+P5(f449(x26611,f202(x26612,x26611,x26613)))
% 15.61/15.73 [2668]P5(f458(x26681,x26682))+~P5(f458(x26681,x26683))+~P5(f458(x26681,f173(x26681,x26682,x26683)))+~P5(f458(f460(a550,x26682),x26683))
% 15.61/15.73 [2681]~P5(f449(x26811,x26813))+P5(f449(x26811,x26812))+P5(f449(x26811,f205(x26812,x26811,x26813)))+P5(f449(f443(a551,x26813),f202(x26812,x26811,x26813)))
% 15.61/15.73 [1835]~E(x18351,x18353)+~P4(x18353)+~P4(x18351)+P5(f371(f401(f369(a518,x18351),x18352),x18353))
% 15.61/15.73 [1934]~P4(x19341)+~P4(x19343)+~P5(f371(x19342,x19343))+P5(f371(f401(f369(a518,x19341),x19342),x19343))
% 15.61/15.73 [2311]~P1(x23113)+E(f401(f396(a535,x23111),f401(f396(a535,x23112),x23113)),x23113)+~P5(f364(f392(a552,x23111),x23112))+~P5(f364(f392(a552,x23113),x23111))
% 15.61/15.73 [2549]~E(f454(f453(a568,x25492),f454(f453(a573,x25493),x25491)),x25493)+~P5(f449(f443(a551,a11),x25492))+~P5(f449(f443(a563,a11),x25493))+P5(f449(f443(a551,x25491),a548))
% 15.61/15.73 [2552]~E(f454(f453(a568,x25522),f454(f453(a573,x25523),x25521)),x25523)+~P5(f449(f443(a563,a11),x25523))+P5(f449(f443(a551,a548),x25521))+~P5(f449(f443(a563,x25522),x25523))
% 15.61/15.73 [2734]P5(f449(x27341,x27342))+P5(f449(x27341,f199(x27341,x27343,x27342)))+~P5(f449(f443(a563,x27343),x27342))+~P5(f449(x27341,f454(f453(a568,x27343),a548)))
% 15.61/15.73 [2735]P5(f449(x27351,x27352))+P5(f449(x27351,f198(x27351,x27352,x27353)))+~P5(f449(f443(a563,x27352),x27353))+~P5(f449(x27351,f454(f453(a541,x27353),a548)))
% 15.61/15.73 [2743]~P5(f458(x27431,x27433))+P5(f458(x27431,x27432))+~P5(f458(f460(a550,x27432),x27433))+P5(f458(x27431,f362(a571,f173(x27431,x27432,x27433))))
% 15.61/15.73 [2744]~P5(f449(x27441,x27443))+P5(f449(x27441,x27442))+~P5(f449(f443(a551,x27442),x27443))+P5(f449(f443(a551,f197(x27441,x27442,x27443)),x27443))
% 15.61/15.73 [2745]~P5(f458(x27451,x27453))+P5(f458(x27451,x27452))+~P5(f458(f460(a550,x27452),x27453))+P5(f458(f460(a549,f173(x27451,x27452,x27453)),x27453))
% 15.61/15.73 [2750]P5(f449(x27501,x27502))+~P5(f449(f443(a563,x27503),x27502))+P5(f449(f443(a563,x27503),f199(x27501,x27503,x27502)))+~P5(f449(x27501,f454(f453(a568,x27503),a548)))
% 15.61/15.73 [2819]~P1(x28193)+~P5(f364(a318,x28193))+~P5(f364(f392(a552,x28193),f496(x28191,x28192)))+P5(f364(f392(a552,f277(x28191,x28192,x28193)),x28192))
% 15.61/15.73 [2820]~P6(x28203)+~P5(f406(a349,x28203))+~P5(f406(f422(a560,x28203),f498(x28201,x28202)))+P5(f364(f392(a552,f306(x28201,x28202,x28203)),x28202))
% 15.61/15.73 [2821]~P2(x28213)+~P5(f427(a344,x28213))+~P5(f427(f385(a555,x28213),f502(x28211,x28212)))+P5(f364(f392(a552,f315(x28211,x28212,x28213)),x28212))
% 15.61/15.73 [2822]~P7(x28223)+~P5(f365(a355,x28223))+~P5(f365(f419(a557,x28223),f501(x28221,x28222)))+P5(f364(f392(a552,f112(x28221,x28222,x28223)),x28222))
% 15.61/15.73 [2823]~P6(x28233)+~P5(f406(a349,x28233))+~P5(f406(f422(a560,x28233),f488(x28231,x28232)))+P5(f365(f419(a557,f244(x28231,x28232,x28233)),x28232))
% 15.61/15.73 [2824]~P2(x28243)+~P5(f427(a344,x28243))+~P5(f427(f385(a555,x28243),f481(x28241,x28242)))+P5(f365(f419(a557,f245(x28241,x28242,x28243)),x28242))
% 15.61/15.73 [2825]~P7(x28253)+~P5(f365(a355,x28253))+~P5(f365(f419(a557,x28253),f519(x28251,x28252)))+P5(f365(f419(a557,f247(x28251,x28252,x28253)),x28252))
% 15.61/15.73 [2826]~P1(x28263)+~P5(f364(a318,x28263))+~P5(f364(f392(a552,x28263),f514(x28261,x28262)))+P5(f365(f419(a557,f248(x28261,x28262,x28263)),x28262))
% 15.61/15.73 [2827]~P1(x28273)+~P5(f364(a318,x28273))+~P5(f364(f392(a552,x28273),f465(x28271,x28272)))+P5(f394(f413(a553,f254(x28271,x28272,x28273)),x28272))
% 15.61/15.73 [2828]~P6(x28283)+~P5(f406(a349,x28283))+~P5(f406(f422(a560,x28283),f495(x28281,x28282)))+P5(f394(f413(a553,f261(x28281,x28282,x28283)),x28282))
% 15.61/15.73 [2829]~P2(x28293)+~P5(f427(a344,x28293))+~P5(f427(f385(a555,x28293),f512(x28291,x28292)))+P5(f394(f413(a553,f260(x28291,x28292,x28293)),x28292))
% 15.61/15.73 [2830]~P7(x28303)+~P5(f365(a355,x28303))+~P5(f365(f419(a557,x28303),f511(x28301,x28302)))+P5(f394(f413(a553,f259(x28301,x28302,x28303)),x28302))
% 15.61/15.73 [2831]~P1(x28313)+~P5(f364(a318,x28313))+~P5(f364(f392(a552,x28313),f510(x28311,x28312)))+P5(f420(f376(a554,f251(x28311,x28312,x28313)),x28312))
% 15.61/15.73 [2832]~P6(x28323)+~P5(f406(a349,x28323))+~P5(f406(f422(a560,x28323),f469(x28321,x28322)))+P5(f420(f376(a554,f257(x28321,x28322,x28323)),x28322))
% 15.61/15.73 [2833]~P2(x28333)+~P5(f427(a344,x28333))+~P5(f427(f385(a555,x28333),f513(x28331,x28332)))+P5(f420(f376(a554,f256(x28331,x28332,x28333)),x28332))
% 15.61/15.73 [2834]~P7(x28343)+~P5(f365(a355,x28343))+~P5(f365(f419(a557,x28343),f515(x28341,x28342)))+P5(f420(f376(a554,f255(x28341,x28342,x28343)),x28342))
% 15.61/15.73 [2835]~P1(x28353)+~P5(f364(a318,x28353))+~P5(f364(f392(a552,x28353),f500(x28351,x28352)))+P5(f427(f385(a555,f262(x28351,x28352,x28353)),x28352))
% 15.61/15.73 [2836]~P7(x28363)+~P5(f365(a355,x28363))+~P5(f365(f419(a557,x28363),f487(x28361,x28362)))+P5(f427(f385(a555,f145(x28361,x28362,x28363)),x28362))
% 15.61/15.73 [2837]~P1(x28373)+~P5(f364(a318,x28373))+~P5(f364(f392(a552,x28373),f497(x28371,x28372)))+P5(f406(f422(a560,f249(x28371,x28372,x28373)),x28372))
% 15.61/15.73 [2838]~P7(x28383)+~P5(f365(a355,x28383))+~P5(f365(f419(a557,x28383),f480(x28381,x28382)))+P5(f406(f422(a560,f141(x28381,x28382,x28383)),x28382))
% 15.61/15.73 [2839]~P1(x28393)+~P5(f364(a318,x28393))+~P5(f364(f392(a552,x28393),f466(x28391,x28392)))+P5(f395(f418(a558,f210(x28391,x28392,x28393)),x28392))
% 15.61/15.73 [2840]~P7(x28403)+~P5(f365(a355,x28403))+~P5(f365(f419(a557,x28403),f467(x28401,x28402)))+P5(f395(f418(a558,f122(x28401,x28402,x28403)),x28402))
% 15.61/15.73 [2841]~P1(x28413)+~P5(f364(a318,x28413))+~P5(f364(f392(a552,x28413),f509(x28411,x28412)))+P5(f366(f400(a556,f246(x28411,x28412,x28413)),x28412))
% 15.61/15.73 [2842]~P7(x28423)+~P5(f365(a355,x28423))+~P5(f365(f419(a557,x28423),f468(x28421,x28422)))+P5(f366(f400(a556,f132(x28421,x28422,x28423)),x28422))
% 15.61/15.73 [2856]~P5(f449(x28561,x28563))+P5(f449(x28561,x28562))+P5(f449(x28561,f202(x28562,x28561,x28563)))+P5(f449(f443(a551,f205(x28562,x28561,x28563)),x28563))
% 15.61/15.73 [2868]~P5(f449(x28681,x28683))+P5(f449(x28681,x28682))+P5(f449(f443(a551,x28683),f202(x28682,x28681,x28683)))+P5(f449(f443(a551,f205(x28682,x28681,x28683)),x28683))
% 15.61/15.73 [2893]P5(f449(x28931,x28932))+~P5(f449(f443(a563,x28932),x28933))+P5(f449(f443(a563,f198(x28931,x28932,x28933)),x28933))+~P5(f449(x28931,f454(f453(a541,x28933),a548)))
% 15.61/15.73 [2912]E(f363(x29121,f231(x29122,x29121,x29123)),x29122)+~P5(f449(f443(a551,x29122),f363(x29121,x29123)))+P5(f458(f460(a549,f232(x29122,x29121,x29123)),x29123))+~P5(f449(f443(a551,f363(x29121,a1)),x29122))
% 15.61/15.73 [2913]E(f363(x29131,f233(x29132,x29131,x29133)),x29132)+~P5(f449(f443(a551,x29132),f363(x29131,x29133)))+P5(f458(f460(a549,f234(x29132,x29131,x29133)),x29133))+~P5(f449(f443(a551,f363(x29131,a1)),x29132))
% 15.61/15.73 [2915]~P5(f458(f460(a550,x29153),x29151))+P5(f458(f460(a550,x29151),x29152))+~P5(f458(f460(a550,x29153),x29152))+~P5(f458(f460(a550,f362(f464(a540,x29151),x29153)),f362(f464(a540,x29152),x29153)))
% 15.61/15.73 [2916]~P5(f458(f460(a550,x29163),x29161))+P5(f458(f460(a549,x29161),x29162))+~P5(f458(f460(a550,x29163),x29162))+~P5(f458(f460(a549,f362(f464(a540,x29161),x29163)),f362(f464(a540,x29162),x29163)))
% 15.61/15.73 [2944]~P5(f449(f443(a551,x29441),f363(x29442,x29443)))+P5(f458(f460(a549,f232(x29441,x29442,x29443)),x29443))+P5(f458(f460(a550,f231(x29441,x29442,x29443)),x29443))+~P5(f449(f443(a551,f363(x29442,a1)),x29441))
% 15.61/15.73 [2945]~P5(f449(f443(a551,x29451),f363(x29452,x29453)))+P5(f458(f460(a549,f234(x29451,x29452,x29453)),x29453))+P5(f458(f460(a550,f233(x29451,x29452,x29453)),x29453))+~P5(f449(f443(a551,f363(x29452,a1)),x29451))
% 15.61/15.73 [2971]P5(f449(x29711,x29712))+~P5(f449(x29711,x29713))+~P5(f449(f443(a551,x29713),x29712))+~P5(f449(x29711,f454(f453(a568,f200(x29711,x29713,x29712)),a548)))
% 15.61/15.73 [2972]P5(f449(x29721,x29722))+~P5(f449(x29721,x29723))+~P5(f449(f443(a551,x29722),x29723))+~P5(f449(x29721,f454(f453(a541,f197(x29721,x29722,x29723)),a548)))
% 15.61/15.73 [2980]~P5(f449(x29801,x29803))+P5(f449(x29801,x29802))+P5(f449(x29801,f202(x29802,x29801,x29803)))+~P5(f449(x29801,f454(f453(a541,f205(x29802,x29801,x29803)),a548)))
% 15.61/15.73 [2981]~P5(f449(x29811,x29813))+P5(f449(x29811,x29812))+P5(f449(x29811,f205(x29812,x29811,x29813)))+~P5(f449(x29811,f454(f453(a568,f202(x29812,x29811,x29813)),a548)))
% 15.61/15.73 [2982]~P5(f449(x29821,x29823))+P5(f449(x29821,x29822))+P5(f449(f443(a551,x29823),f202(x29822,x29821,x29823)))+~P5(f449(x29821,f454(f453(a541,f205(x29822,x29821,x29823)),a548)))
% 15.61/15.73 [2983]P5(f449(x29831,x29832))+~P5(f449(f443(a563,x29833),x29832))+~P5(f449(x29831,f454(f453(a568,x29833),a548)))+~P5(f449(x29831,f454(f453(a568,f199(x29831,x29833,x29832)),a548)))
% 15.61/15.73 [2984]P5(f449(x29841,x29842))+~P5(f449(f443(a563,x29842),x29843))+~P5(f449(x29841,f454(f453(a541,x29843),a548)))+~P5(f449(x29841,f454(f453(a541,f198(x29841,x29842,x29843)),a548)))
% 15.61/15.73 [2986]~P5(f449(x29861,x29863))+P5(f449(x29861,x29862))+P5(f449(f443(a551,f205(x29862,x29861,x29863)),x29863))+~P5(f449(x29861,f454(f453(a568,f202(x29862,x29861,x29863)),a548)))
% 15.61/15.73 [3017]P5(f449(x30171,x30172))+~P5(f449(x30171,x30173))+~P5(f449(x30171,f454(f453(a541,f205(x30172,x30171,x30173)),a548)))+~P5(f449(x30171,f454(f453(a568,f202(x30172,x30171,x30173)),a548)))
% 15.61/15.73 [2858]~P5(f365(a355,x28581))+~P5(f365(f471(a526,x28582),x28581))+P5(f365(f471(a526,x28582),x28583))+E(f435(a354,f426(f386(a538,x28581),f426(f478(a529,x28582),x28583))),f362(f464(a540,f435(a354,f426(f386(a538,x28581),x28583))),a547))
% 15.61/15.73 [2859]~P5(f364(a318,x28591))+~P5(f364(f372(a530,x28592),x28591))+P5(f364(f372(a530,x28592),x28593))+E(f442(a353,f401(f396(a535,x28591),f401(f369(a518,x28592),x28593))),f362(f464(a540,f442(a353,f401(f396(a535,x28591),x28593))),a547))
% 15.61/15.73 [2860]~P5(f420(a357,x28601))+~P5(f420(f462(a527,x28602),x28601))+P5(f420(f462(a527,x28602),x28603))+E(f412(a351,f425(f397(a539,x28601),f425(f461(a516,x28602),x28603))),f362(f464(a540,f412(a351,f425(f397(a539,x28601),x28603))),a547))
% 15.61/15.73 [2861]~P5(f394(a356,x28611))+~P5(f394(f445(a528,x28612),x28611))+P5(f394(f445(a528,x28612),x28613))+E(f436(a352,f402(f368(a536,x28611),f402(f441(a517,x28612),x28613))),f362(f464(a540,f436(a352,f402(f368(a536,x28611),x28613))),a547))
% 15.61/15.73 [2949]P5(f449(f443(a551,a11),x29491))+~P5(f449(f443(a563,a11),x29493))+~P5(f449(f443(a563,x29492),x29493))+~P5(f449(f443(a551,a11),f454(f453(a568,f454(f453(a573,x29493),x29491)),x29492)))
% 15.61/15.73 [3012]~P5(f449(f443(a551,a11),x30122))+~P5(f449(f443(a563,a11),x30123))+P5(f449(f443(a551,x30121),a11))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a573,x30123),x30121)),x30122)),a11))
% 15.61/15.73 [3064]E(f363(x30641,f231(x30642,x30641,x30643)),x30642)+~P5(f449(f443(a551,x30642),f363(x30641,x30643)))+~P5(f449(f443(a551,f363(x30641,a1)),x30642))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30641,f362(f464(a567,f232(x30642,x30641,x30643)),a547))),f363(x30641,f232(x30642,x30641,x30643))))),a548))
% 15.61/15.73 [3065]E(f363(x30651,f233(x30652,x30651,x30653)),x30652)+~P5(f449(f443(a551,x30652),f363(x30651,x30653)))+~P5(f449(f443(a551,f363(x30651,a1)),x30652))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30651,f362(f464(a567,f234(x30652,x30651,x30653)),a547))),f363(x30651,f234(x30652,x30651,x30653))))),a548))
% 15.61/15.74 [3066]~P5(f449(f443(a551,x30661),f363(x30662,x30663)))+P5(f458(f460(a550,f231(x30661,x30662,x30663)),x30663))+~P5(f449(f443(a551,f363(x30662,a1)),x30661))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30662,f362(f464(a567,f232(x30661,x30662,x30663)),a547))),f363(x30662,f232(x30661,x30662,x30663))))),a548))
% 15.61/15.74 [3067]~P5(f449(f443(a551,x30671),f363(x30672,x30673)))+P5(f458(f460(a550,f233(x30671,x30672,x30673)),x30673))+~P5(f449(f443(a551,f363(x30672,a1)),x30671))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30672,f362(f464(a567,f234(x30671,x30672,x30673)),a547))),f363(x30672,f234(x30671,x30672,x30673))))),a548))
% 15.61/15.74 [1987]E(x19871,a3)+~P5(f334(x19874,x19872))+~P5(f394(a356,x19871))+E(f393(x19872,f402(f441(a517,x19873),x19871)),f454(f453(x19874,x19873),f393(x19872,x19871)))
% 15.61/15.74 [1988]E(x19881,a10)+~P5(f343(x19884,x19882))+~P5(f420(a357,x19881))+E(f412(x19882,f425(f461(a516,x19883),x19881)),f362(f464(x19884,x19883),f412(x19882,x19881)))
% 15.61/15.74 [2256]~P5(f339(x22564,x22561))+~P5(f420(a357,x22563))+E(f412(x22561,f425(f461(a516,x22562),x22563)),x22562)+~E(f425(f397(a539,x22563),f425(f461(a516,x22562),a10)),a10)
% 15.61/15.74 [2257]~P5(f333(x22574,x22571))+~P5(f394(a356,x22573))+E(f393(x22571,f402(f441(a517,x22572),x22573)),x22572)+~E(f402(f368(a536,x22573),f402(f441(a517,x22572),a3)),a3)
% 15.61/15.74 [2843]~P5(f339(x28433,x28434))+~P5(f420(a357,x28431))+E(f425(f397(a539,x28431),f425(f461(a516,x28432),a10)),a10)+E(f362(f464(x28433,x28432),f412(x28434,f425(f397(a539,x28431),f425(f461(a516,x28432),a10)))),f412(x28434,f425(f461(a516,x28432),x28431)))
% 15.61/15.74 [2844]~P5(f333(x28443,x28444))+~P5(f394(a356,x28441))+E(f402(f368(a536,x28441),f402(f441(a517,x28442),a3)),a3)+E(f454(f453(x28443,x28442),f393(x28444,f402(f368(a536,x28441),f402(f441(a517,x28442),a3)))),f393(x28444,f402(f441(a517,x28442),x28441)))
% 15.61/15.74 [2010]~P1(x20102)+~P1(x20101)+E(x20101,x20102)+~P5(f364(f392(a552,x20102),x20101))+~P5(f364(f392(a552,x20101),x20102))
% 15.61/15.74 [2738]E(x27381,a3)+~E(f157(x27382,x27381),a3)+P5(f394(x27382,x27381))+~P5(f394(a356,x27381))+~P5(f394(x27382,f402(f441(a517,f158(x27382,x27381)),a3)))
% 15.61/15.74 [2739]E(x27391,a10)+~E(f160(x27392,x27391),a10)+P5(f420(x27392,x27391))+~P5(f420(a357,x27391))+~P5(f420(x27392,f425(f461(a516,f161(x27392,x27391)),a10)))
% 15.61/15.74 [2779]E(x27791,a3)+P5(f394(x27792,x27791))+~P5(f394(a356,x27791))+P5(f394(a356,f157(x27792,x27791)))+~P5(f394(x27792,f402(f441(a517,f158(x27792,x27791)),a3)))
% 15.61/15.74 [2780]E(x27801,a10)+P5(f420(x27802,x27801))+~P5(f420(a357,x27801))+P5(f420(a357,f160(x27802,x27801)))+~P5(f420(x27802,f425(f461(a516,f161(x27802,x27801)),a10)))
% 15.61/15.74 [2792]E(x27921,a3)+P5(f394(x27922,x27921))+~P5(f394(a356,x27921))+P5(f394(x27922,f157(x27922,x27921)))+~P5(f394(x27922,f402(f441(a517,f158(x27922,x27921)),a3)))
% 15.61/15.74 [2793]E(x27931,a10)+P5(f420(x27932,x27931))+~P5(f420(a357,x27931))+P5(f420(x27932,f160(x27932,x27931)))+~P5(f420(x27932,f425(f461(a516,f161(x27932,x27931)),a10)))
% 15.61/15.74 [2906]E(x29061,a3)+P5(f394(x29062,x29061))+~P5(f394(a356,x29061))+~P5(f394(f445(a528,f159(x29062,x29061)),f157(x29062,x29061)))+~P5(f394(x29062,f402(f441(a517,f158(x29062,x29061)),a3)))
% 15.61/15.74 [2907]E(x29071,a10)+P5(f420(x29072,x29071))+~P5(f420(a357,x29071))+~P5(f420(f462(a527,f162(x29072,x29071)),f160(x29072,x29071)))+~P5(f420(x29072,f425(f461(a516,f161(x29072,x29071)),a10)))
% 15.61/15.74 [2937]E(x29371,a3)+P5(f394(x29372,x29371))+~P5(f394(a356,x29371))+~P5(f394(x29372,f402(f441(a517,f159(x29372,x29371)),f157(x29372,x29371))))+~P5(f394(x29372,f402(f441(a517,f158(x29372,x29371)),a3)))
% 15.61/15.74 [2938]E(x29381,a10)+P5(f420(x29382,x29381))+~P5(f420(a357,x29381))+~P5(f420(x29382,f425(f461(a516,f162(x29382,x29381)),f160(x29382,x29381))))+~P5(f420(x29382,f425(f461(a516,f161(x29382,x29381)),a10)))
% 15.61/15.74 [2258]P5(f364(x22581,x22582))+P1(f104(x22581,x22583,x22582))+~P5(f364(x22581,a4))+~P5(f364(a318,x22582))+~P5(f364(f392(a552,x22582),x22583))
% 15.61/15.74 [2259]P5(f364(x22591,x22592))+P4(f105(x22591,x22593,x22592))+~P5(f364(x22591,a4))+~P5(f364(a318,x22592))+~P5(f364(f392(a552,x22592),x22593))
% 15.61/15.74 [2260]P5(f365(x22601,x22602))+P7(f106(x22601,x22603,x22602))+~P5(f365(x22601,a5))+~P5(f365(a355,x22602))+~P5(f365(f419(a557,x22602),x22603))
% 15.61/15.74 [2261]P5(f365(x22611,x22612))+P8(f107(x22611,x22613,x22612))+~P5(f365(x22611,a5))+~P5(f365(a355,x22612))+~P5(f365(f419(a557,x22612),x22613))
% 15.61/15.74 [2556]P5(f364(x25561,x25562))+~P5(f364(x25561,a4))+~P5(f364(a318,x25562))+~P5(f364(f392(a552,x25562),x25563))+P5(f364(a318,f104(x25561,x25563,x25562)))
% 15.61/15.74 [2557]P5(f365(x25571,x25572))+~P5(f365(x25571,a5))+~P5(f365(a355,x25572))+~P5(f365(f419(a557,x25572),x25573))+P5(f365(a355,f106(x25571,x25573,x25572)))
% 15.61/15.74 [2558]P5(f394(x25581,x25582))+~P5(f394(x25581,a3))+~P5(f394(a356,x25582))+~P5(f394(f413(a553,x25582),x25583))+P5(f394(a356,f108(x25581,x25583,x25582)))
% 15.61/15.74 [2559]P5(f420(x25591,x25592))+~P5(f420(x25591,a10))+~P5(f420(a357,x25592))+~P5(f420(f376(a554,x25592),x25593))+P5(f420(a357,f110(x25591,x25593,x25592)))
% 15.61/15.74 [2563]P5(f364(x25631,x25632))+~P5(f364(x25631,a4))+~P5(f364(a318,x25632))+P5(f364(x25631,f104(x25631,x25633,x25632)))+~P5(f364(f392(a552,x25632),x25633))
% 15.61/15.74 [2564]P5(f365(x25641,x25642))+~P5(f365(x25641,a5))+~P5(f365(a355,x25642))+P5(f365(x25641,f106(x25641,x25643,x25642)))+~P5(f365(f419(a557,x25642),x25643))
% 15.61/15.74 [2565]P5(f394(x25651,x25652))+~P5(f394(x25651,a3))+~P5(f394(a356,x25652))+P5(f394(x25651,f108(x25651,x25653,x25652)))+~P5(f394(f413(a553,x25652),x25653))
% 15.61/15.74 [2566]P5(f420(x25661,x25662))+~P5(f420(x25661,a10))+~P5(f420(a357,x25662))+P5(f420(x25661,f110(x25661,x25663,x25662)))+~P5(f420(f376(a554,x25662),x25663))
% 15.61/15.74 [2929]P5(f364(x29291,x29292))+~P5(f364(x29291,a4))+~P5(f364(a318,x29292))+~P5(f364(f372(a530,f105(x29291,x29293,x29292)),f104(x29291,x29293,x29292)))+~P5(f364(f392(a552,x29292),x29293))
% 15.61/15.74 [2930]P5(f365(x29301,x29302))+~P5(f365(x29301,a5))+~P5(f365(a355,x29302))+~P5(f365(f471(a526,f107(x29301,x29303,x29302)),f106(x29301,x29303,x29302)))+~P5(f365(f419(a557,x29302),x29303))
% 15.61/15.74 [2931]P5(f394(x29311,x29312))+~P5(f394(x29311,a3))+~P5(f394(a356,x29312))+~P5(f394(f445(a528,f109(x29311,x29313,x29312)),f108(x29311,x29313,x29312)))+~P5(f394(f413(a553,x29312),x29313))
% 15.61/15.74 [2932]P5(f420(x29321,x29322))+~P5(f420(x29321,a10))+~P5(f420(a357,x29322))+~P5(f420(f462(a527,f111(x29321,x29323,x29322)),f110(x29321,x29323,x29322)))+~P5(f420(f376(a554,x29322),x29323))
% 15.61/15.74 [2160]~P4(x21602)+~P4(x21601)+E(x21601,x21602)+P5(f371(x21603,x21602))+~P5(f371(f401(f369(a518,x21601),x21603),x21602))
% 15.61/15.74 [2493]~P4(x24932)+~P4(x24931)+E(x24931,x24932)+P5(f364(f372(a530,x24931),x24933))+~P5(f364(f372(a530,x24931),f401(f369(a518,x24932),x24933)))
% 15.61/15.74 [2495]~P8(x24952)+~P8(x24951)+E(x24951,x24952)+P5(f365(f471(a526,x24951),x24953))+~P5(f365(f471(a526,x24951),f426(f478(a529,x24952),x24953)))
% 15.61/15.74 [2775]P5(f364(x27751,x27752))+~P5(f364(x27751,a4))+~P5(f364(a318,x27752))+~P5(f364(f392(a552,x27752),x27753))+P5(f364(f372(a530,f105(x27751,x27753,x27752)),x27753))
% 15.61/15.74 [2776]P5(f365(x27761,x27762))+~P5(f365(x27761,a5))+~P5(f365(a355,x27762))+~P5(f365(f419(a557,x27762),x27763))+P5(f365(f471(a526,f107(x27761,x27763,x27762)),x27763))
% 15.61/15.74 [2777]P5(f394(x27771,x27772))+~P5(f394(x27771,a3))+~P5(f394(a356,x27772))+~P5(f394(f413(a553,x27772),x27773))+P5(f394(f445(a528,f109(x27771,x27773,x27772)),x27773))
% 15.61/15.74 [2778]P5(f420(x27781,x27782))+~P5(f420(x27781,a10))+~P5(f420(a357,x27782))+~P5(f420(f376(a554,x27782),x27783))+P5(f420(f462(a527,f111(x27781,x27783,x27782)),x27783))
% 15.61/15.74 [2998]P5(f364(x29981,x29982))+~P5(f364(x29981,a4))+~P5(f364(a318,x29982))+~P5(f364(f392(a552,x29982),x29983))+~P5(f364(x29981,f401(f369(a518,f105(x29981,x29983,x29982)),f104(x29981,x29983,x29982))))
% 15.61/15.74 [2999]P5(f365(x29991,x29992))+~P5(f365(x29991,a5))+~P5(f365(a355,x29992))+~P5(f365(f419(a557,x29992),x29993))+~P5(f365(x29991,f426(f478(a529,f107(x29991,x29993,x29992)),f106(x29991,x29993,x29992))))
% 15.61/15.74 [3000]P5(f394(x30001,x30002))+~P5(f394(x30001,a3))+~P5(f394(a356,x30002))+~P5(f394(f413(a553,x30002),x30003))+~P5(f394(x30001,f402(f441(a517,f109(x30001,x30003,x30002)),f108(x30001,x30003,x30002))))
% 15.61/15.74 [3001]P5(f420(x30011,x30012))+~P5(f420(x30011,a10))+~P5(f420(a357,x30012))+~P5(f420(f376(a554,x30012),x30013))+~P5(f420(x30011,f425(f461(a516,f111(x30011,x30013,x30012)),f110(x30011,x30013,x30012))))
% 15.61/15.74 [3054]E(x30541,a3)+~P5(f333(x30543,x30542))+~P5(f394(a356,x30541))+P5(f394(f445(a528,f393(x30542,x30541)),x30541))+~P5(f394(f445(a528,f454(f453(x30543,f149(x30541,x30543,x30542)),f150(x30541,x30543,x30542))),f402(f441(a517,f149(x30541,x30543,x30542)),f402(f441(a517,f150(x30541,x30543,x30542)),a3))))
% 15.61/15.74 [3055]E(x30551,a10)+~P5(f339(x30553,x30552))+~P5(f420(a357,x30551))+P5(f420(f462(a527,f412(x30552,x30551)),x30551))+~P5(f420(f462(a527,f362(f464(x30553,f151(x30551,x30553,x30552)),f152(x30551,x30553,x30552))),f425(f461(a516,f151(x30551,x30553,x30552)),f425(f461(a516,f152(x30551,x30553,x30552)),a10))))
% 15.61/15.74 [2091]~P1(x20911)+~P7(x20914)+~E(x20911,f514(x20912,x20914))+~P5(f365(f419(a557,x20914),x20913))+P5(f364(f392(a552,x20911),f514(x20912,x20913)))
% 15.61/15.74 [2254]E(x22541,a3)+~P5(f334(x22542,x22543))+E(f454(f453(x22542,f393(x22543,x22541)),f393(x22543,x22544)),f393(x22543,x22544))+~P5(f394(a356,x22544))+~P5(f394(f413(a553,x22541),x22544))
% 15.61/15.74 [2255]E(x22551,a10)+~P5(f343(x22552,x22553))+E(f362(f464(x22552,f412(x22553,x22551)),f412(x22553,x22554)),f412(x22553,x22554))+~P5(f420(a357,x22554))+~P5(f420(f376(a554,x22551),x22554))
% 15.61/15.74 [1996]~P1(x19961)+E(x19961,a4)+~P5(f340(x19962,x19964))+~P5(f364(a318,x19961))+E(f374(f375(x19962,x19963),f437(x19964,x19961)),f437(x19964,f401(f369(a518,x19963),x19961)))
% 15.61/15.74 [1997]~P7(x19971)+E(x19971,a5)+~P5(f342(x19974,x19972))+~P5(f365(a355,x19971))+E(f387(x19972,f426(f478(a529,x19973),x19971)),f479(f473(x19974,x19973),f387(x19972,x19971)))
% 15.61/15.74 [2161]E(x21611,a3)+~P5(f333(x21614,x21612))+~P5(f394(a356,x21611))+E(f393(x21612,f402(f441(a517,x21613),x21611)),f454(f453(x21614,x21613),f393(x21612,x21611)))+P5(f394(f445(a528,x21613),x21611))
% 15.61/15.74 [2162]E(x21621,a10)+~P5(f339(x21624,x21622))+~P5(f420(a357,x21621))+E(f412(x21622,f425(f461(a516,x21623),x21621)),f362(f464(x21624,x21623),f412(x21622,x21621)))+P5(f420(f462(a527,x21623),x21621))
% 15.61/15.74 [2282]~P4(x22822)+~P5(f358(x22824,x22821))+~P5(f364(a318,x22823))+E(f437(x22821,f401(f369(a518,x22822),x22823)),x22822)+~E(f401(f396(a535,x22823),f401(f369(a518,x22822),a4)),a4)
% 15.61/15.74 [2283]~P8(x22832)+~P5(f321(x22834,x22831))+~P5(f365(a355,x22833))+E(f387(x22831,f426(f478(a529,x22832),x22833)),x22832)+~E(f426(f386(a538,x22833),f426(f478(a529,x22832),a5)),a5)
% 15.61/15.74 [2422]E(f412(x24221,x24222),x24223)+~P5(f339(x24224,x24221))+~P5(f420(a357,x24222))+~P5(f420(f462(a527,x24223),x24222))+~E(f425(f397(a539,x24222),f425(f461(a516,x24223),a10)),a10)
% 15.61/15.74 [2423]E(f393(x24231,x24232),x24233)+~P5(f333(x24234,x24231))+~P5(f394(a356,x24232))+~P5(f394(f445(a528,x24233),x24232))+~E(f402(f368(a536,x24232),f402(f441(a517,x24233),a3)),a3)
% 15.61/15.74 [2985]E(f363(x29851,f239(x29852,x29851,x29853,x29854)),x29852)+P5(f458(f460(a550,x29854),f240(x29852,x29851,x29853,x29854)))+~P5(f458(f460(a549,x29854),x29853))+~P5(f449(f443(a551,x29852),f363(x29851,x29853)))+~P5(f449(f443(a551,f363(x29851,x29854)),x29852))
% 15.61/15.74 [3013]P5(f458(f460(a550,x30131),f239(x30132,x30133,x30134,x30131)))+~P5(f458(f460(a549,x30131),x30134))+~P5(f449(f443(a551,x30132),f363(x30133,x30134)))+P5(f458(f460(a550,x30131),f240(x30132,x30133,x30134,x30131)))+~P5(f449(f443(a551,f363(x30133,x30131)),x30132))
% 15.61/15.74 [3016]E(f363(x30161,f239(x30162,x30161,x30163,x30164)),x30162)+~P5(f458(f460(a549,x30164),x30163))+~P5(f449(f443(a551,x30162),f363(x30161,x30163)))+P5(f458(f460(a549,f240(x30162,x30161,x30163,x30164)),x30163))+~P5(f449(f443(a551,f363(x30161,x30164)),x30162))
% 15.61/15.74 [3031]~P5(f458(f460(a549,x30311),x30314))+~P5(f449(f443(a551,x30312),f363(x30313,x30314)))+P5(f458(f460(a550,x30311),f240(x30312,x30313,x30314,x30311)))+P5(f458(f460(a550,f239(x30312,x30313,x30314,x30311)),x30314))+~P5(f449(f443(a551,f363(x30313,x30311)),x30312))
% 15.61/15.74 [3032]~P5(f458(f460(a549,x30321),x30324))+~P5(f449(f443(a551,x30322),f363(x30323,x30324)))+P5(f458(f460(a550,x30321),f239(x30322,x30323,x30324,x30321)))+P5(f458(f460(a549,f240(x30322,x30323,x30324,x30321)),x30324))+~P5(f449(f443(a551,f363(x30323,x30321)),x30322))
% 15.61/15.74 [3036]~P5(f458(f460(a549,x30364),x30363))+~P5(f449(f443(a551,x30361),f363(x30362,x30363)))+P5(f458(f460(a549,f240(x30361,x30362,x30363,x30364)),x30363))+~P5(f449(f443(a551,f363(x30362,x30364)),x30361))+P5(f458(f460(a550,f239(x30361,x30362,x30363,x30364)),x30363))
% 15.61/15.74 [2900]~P5(f449(x29001,x29004))+~P5(f449(f443(a551,a11),x29002))+P5(f449(x29001,f203(x29002,x29001,x29003)))+~P5(f449(f443(a563,a11),x29003))+P5(f449(x29001,f454(f453(a541,x29004),f454(f453(a573,x29002),x29003))))
% 15.61/15.74 [2901]~P5(f449(x29011,x29014))+~P5(f449(f443(a551,a11),x29012))+P5(f449(x29011,f204(x29012,x29011,x29013)))+~P5(f449(f443(a563,a11),x29013))+P5(f449(x29011,f454(f453(a568,x29014),f454(f453(a573,x29012),x29013))))
% 15.61/15.74 [2996]~P5(f449(x29961,x29962))+~P5(f449(f443(a551,a11),x29963))+~P5(f449(f443(a563,a11),x29964))+~P5(f449(x29961,f454(f453(a541,f203(x29963,x29961,x29964)),x29964)))+P5(f449(x29961,f454(f453(a541,x29962),f454(f453(a573,x29963),x29964))))
% 15.61/15.74 [2997]~P5(f449(x29971,x29972))+~P5(f449(f443(a551,a11),x29973))+~P5(f449(f443(a563,a11),x29974))+~P5(f449(x29971,f454(f453(a568,f204(x29973,x29971,x29974)),x29974)))+P5(f449(x29971,f454(f453(a568,x29972),f454(f453(a573,x29973),x29974))))
% 15.61/15.74 [2845]~P4(x28452)+~P5(f358(x28453,x28454))+~P5(f364(a318,x28451))+E(f401(f396(a535,x28451),f401(f369(a518,x28452),a4)),a4)+E(f374(f375(x28453,x28452),f437(x28454,f401(f396(a535,x28451),f401(f369(a518,x28452),a4)))),f437(x28454,f401(f369(a518,x28452),x28451)))
% 15.61/15.74 [2846]~P8(x28462)+~P5(f321(x28463,x28464))+~P5(f365(a355,x28461))+E(f426(f386(a538,x28461),f426(f478(a529,x28462),a5)),a5)+E(f479(f473(x28463,x28462),f387(x28464,f426(f386(a538,x28461),f426(f478(a529,x28462),a5)))),f387(x28464,f426(f478(a529,x28462),x28461)))
% 15.61/15.74 [2852]~P5(f339(x28523,x28524))+~P5(f420(a357,x28521))+~P5(f420(f462(a527,x28522),x28521))+E(f425(f397(a539,x28521),f425(f461(a516,x28522),a10)),a10)+E(f362(f464(x28523,x28522),f412(x28524,f425(f397(a539,x28521),f425(f461(a516,x28522),a10)))),f412(x28524,x28521))
% 15.61/15.74 [2853]~P5(f333(x28533,x28534))+~P5(f394(a356,x28531))+~P5(f394(f445(a528,x28532),x28531))+E(f402(f368(a536,x28531),f402(f441(a517,x28532),a3)),a3)+E(f454(f453(x28533,x28532),f393(x28534,f402(f368(a536,x28531),f402(f441(a517,x28532),a3)))),f393(x28534,x28531))
% 15.61/15.74 [3068]E(f363(x30681,f239(x30682,x30681,x30683,x30684)),x30682)+~P5(f458(f460(a549,x30684),x30683))+~P5(f449(f443(a551,x30682),f363(x30681,x30683)))+~P5(f449(f443(a551,f363(x30681,x30684)),x30682))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30681,f362(f464(a567,f240(x30682,x30681,x30683,x30684)),a547))),f363(x30681,f240(x30682,x30681,x30683,x30684))))),a548))
% 15.61/15.74 [3069]~P5(f458(f460(a549,x30691),x30694))+~P5(f449(f443(a551,x30692),f363(x30693,x30694)))+P5(f458(f460(a550,x30691),f239(x30692,x30693,x30694,x30691)))+~P5(f449(f443(a551,f363(x30693,x30691)),x30692))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30693,f362(f464(a567,f240(x30692,x30693,x30694,x30691)),a547))),f363(x30693,f240(x30692,x30693,x30694,x30691))))),a548))
% 15.61/15.74 [3070]~P5(f458(f460(a549,x30704),x30703))+~P5(f449(f443(a551,x30701),f363(x30702,x30703)))+~P5(f449(f443(a551,f363(x30702,x30704)),x30701))+P5(f458(f460(a550,f239(x30701,x30702,x30703,x30704)),x30703))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30702,f362(f464(a567,f240(x30701,x30702,x30703,x30704)),a547))),f363(x30702,f240(x30701,x30702,x30703,x30704))))),a548))
% 15.61/15.74 [3033]~P5(f449(f443(a551,a11),x30335))+P5(f449(f443(a551,x30331),x30332))+~P5(f449(f443(a563,x30333),x30334))+~P5(f449(f443(a563,x30335),x30334))+~P5(f449(f443(a551,f454(f453(a568,f454(f453(a573,x30334),x30331)),x30335)),f454(f453(a568,f454(f453(a573,x30334),x30332)),x30333)))
% 15.61/15.74 [3034]~P5(f449(f443(a563,x30343),x30345))+P5(f449(f443(a551,x30341),x30342))+~P5(f449(f443(a563,x30343),x30344))+~P5(f449(f443(a551,x30344),a11))+~P5(f449(f443(a551,f454(f453(a568,f454(f453(a573,x30343),x30342)),x30345)),f454(f453(a568,f454(f453(a573,x30343),x30341)),x30344)))
% 15.61/15.74 [1727]~P1(x17271)+E(x17271,a4)+P5(f364(x17272,x17271))+~E(f154(x17272,x17271),a4)+P4(f144(x17272,x17271))+~P5(f364(a318,x17271))
% 15.61/15.74 [1728]~P7(x17281)+E(x17281,a5)+P5(f365(x17282,x17281))+~E(f163(x17282,x17281),a5)+P8(f156(x17282,x17281))+~P5(f365(a355,x17281))
% 15.61/15.74 [1745]~P1(x17451)+E(x17451,a4)+P4(f144(x17452,x17451))+P5(f364(x17452,x17451))+P1(f154(x17452,x17451))+~P5(f364(a318,x17451))
% 15.61/15.74 [1746]~P1(x17461)+E(x17461,a4)+P4(f155(x17462,x17461))+P5(f364(x17462,x17461))+P4(f144(x17462,x17461))+~P5(f364(a318,x17461))
% 15.61/15.74 [1747]~P7(x17471)+E(x17471,a5)+P8(f156(x17472,x17471))+P5(f365(x17472,x17471))+P7(f163(x17472,x17471))+~P5(f365(a355,x17471))
% 15.61/15.74 [1748]~P7(x17481)+E(x17481,a5)+P8(f164(x17482,x17481))+P5(f365(x17482,x17481))+P8(f156(x17482,x17481))+~P5(f365(a355,x17481))
% 15.61/15.74 [1836]~P1(x18361)+E(x18361,a4)+P5(f364(x18362,x18361))+P4(f144(x18362,x18361))+~P5(f364(a318,x18361))+P5(f364(a318,f154(x18362,x18361)))
% 15.61/15.74 [1837]~P7(x18371)+E(x18371,a5)+P5(f365(x18372,x18371))+P8(f156(x18372,x18371))+~P5(f365(a355,x18371))+P5(f365(a355,f163(x18372,x18371)))
% 15.61/15.74 [1843]~P1(x18431)+E(x18431,a4)+P5(f364(x18432,x18431))+P4(f144(x18432,x18431))+~P5(f364(a318,x18431))+P5(f364(x18432,f154(x18432,x18431)))
% 15.61/15.74 [1844]~P7(x18441)+E(x18441,a5)+P5(f365(x18442,x18441))+P8(f156(x18442,x18441))+~P5(f365(a355,x18441))+P5(f365(x18442,f163(x18442,x18441)))
% 15.61/15.74 [2554]~P1(x25541)+E(x25541,a4)+P5(f364(x25542,x25541))+P4(f144(x25542,x25541))+~P5(f364(a318,x25541))+~P5(f364(f372(a530,f155(x25542,x25541)),f154(x25542,x25541)))
% 15.61/15.74 [2555]~P7(x25551)+E(x25551,a5)+P5(f365(x25552,x25551))+P8(f156(x25552,x25551))+~P5(f365(a355,x25551))+~P5(f365(f471(a526,f164(x25552,x25551)),f163(x25552,x25551)))
% 15.61/15.74 [2632]~P1(x26322)+~P1(x26321)+E(x26321,x26322)+~P5(f364(a318,x26322))+~P5(f364(f392(a552,x26321),x26322))+~P5(f458(f460(a550,f442(a353,x26322)),f442(a353,x26321)))
% 15.61/15.74 [2633]~P7(x26332)+~P7(x26331)+E(x26331,x26332)+~P5(f365(a355,x26332))+~P5(f365(f419(a557,x26331),x26332))+~P5(f458(f460(a550,f435(a354,x26332)),f435(a354,x26331)))
% 15.61/15.74 [2634]~P2(x26342)+~P2(x26341)+E(x26341,x26342)+~P5(f427(a344,x26342))+~P5(f427(f385(a555,x26341),x26342))+~P5(f458(f460(a550,f409(a338,x26342)),f409(a338,x26341)))
% 15.61/15.74 [2635]~P6(x26352)+~P6(x26351)+E(x26351,x26352)+~P5(f406(a349,x26352))+~P5(f406(f422(a560,x26351),x26352))+~P5(f458(f460(a550,f429(a337,x26352)),f429(a337,x26351)))
% 15.61/15.74 [2881]~P1(x28811)+E(x28811,a4)+P5(f364(x28812,x28811))+P4(f144(x28812,x28811))+~P5(f364(a318,x28811))+~P5(f364(x28812,f401(f369(a518,f155(x28812,x28811)),f154(x28812,x28811))))
% 15.61/15.74 [2882]~P7(x28821)+E(x28821,a5)+P5(f365(x28822,x28821))+P8(f156(x28822,x28821))+~P5(f365(a355,x28821))+~P5(f365(x28822,f426(f478(a529,f164(x28822,x28821)),f163(x28822,x28821))))
% 15.61/15.74 [2741]~P1(x27411)+E(x27411,a4)+~E(f154(x27412,x27411),a4)+P5(f364(x27412,x27411))+~P5(f364(a318,x27411))+~P5(f364(x27412,f401(f369(a518,f144(x27412,x27411)),a4)))
% 15.61/15.74 [2742]~P7(x27421)+E(x27421,a5)+~E(f163(x27422,x27421),a5)+P5(f365(x27422,x27421))+~P5(f365(a355,x27421))+~P5(f365(x27422,f426(f478(a529,f156(x27422,x27421)),a5)))
% 15.61/15.74 [2746]~P1(x27461)+E(x27461,a4)+P5(f364(x27462,x27461))+P1(f154(x27462,x27461))+~P5(f364(a318,x27461))+~P5(f364(x27462,f401(f369(a518,f144(x27462,x27461)),a4)))
% 15.61/15.74 [2747]~P1(x27471)+E(x27471,a4)+P5(f364(x27472,x27471))+P4(f155(x27472,x27471))+~P5(f364(a318,x27471))+~P5(f364(x27472,f401(f369(a518,f144(x27472,x27471)),a4)))
% 15.61/15.74 [2748]~P7(x27481)+E(x27481,a5)+P5(f365(x27482,x27481))+P7(f163(x27482,x27481))+~P5(f365(a355,x27481))+~P5(f365(x27482,f426(f478(a529,f156(x27482,x27481)),a5)))
% 15.61/15.74 [2749]~P7(x27491)+E(x27491,a5)+P5(f365(x27492,x27491))+P8(f164(x27492,x27491))+~P5(f365(a355,x27491))+~P5(f365(x27492,f426(f478(a529,f156(x27492,x27491)),a5)))
% 15.61/15.74 [2815]~P1(x28151)+E(x28151,a4)+P5(f364(x28152,x28151))+~P5(f364(a318,x28151))+P5(f364(a318,f154(x28152,x28151)))+~P5(f364(x28152,f401(f369(a518,f144(x28152,x28151)),a4)))
% 15.61/15.74 [2816]~P7(x28161)+E(x28161,a5)+P5(f365(x28162,x28161))+~P5(f365(a355,x28161))+P5(f365(a355,f163(x28162,x28161)))+~P5(f365(x28162,f426(f478(a529,f156(x28162,x28161)),a5)))
% 15.61/15.74 [2817]~P1(x28171)+E(x28171,a4)+P5(f364(x28172,x28171))+~P5(f364(a318,x28171))+P5(f364(x28172,f154(x28172,x28171)))+~P5(f364(x28172,f401(f369(a518,f144(x28172,x28171)),a4)))
% 15.61/15.74 [2818]~P7(x28181)+E(x28181,a5)+P5(f365(x28182,x28181))+~P5(f365(a355,x28181))+P5(f365(x28182,f163(x28182,x28181)))+~P5(f365(x28182,f426(f478(a529,f156(x28182,x28181)),a5)))
% 15.61/15.74 [2908]~P1(x29081)+E(x29081,a4)+P5(f364(x29082,x29081))+~P5(f364(a318,x29081))+~P5(f364(f372(a530,f155(x29082,x29081)),f154(x29082,x29081)))+~P5(f364(x29082,f401(f369(a518,f144(x29082,x29081)),a4)))
% 15.61/15.74 [2909]~P7(x29091)+E(x29091,a5)+P5(f365(x29092,x29091))+~P5(f365(a355,x29091))+~P5(f365(f471(a526,f164(x29092,x29091)),f163(x29092,x29091)))+~P5(f365(x29092,f426(f478(a529,f156(x29092,x29091)),a5)))
% 15.61/15.74 [2939]~P1(x29391)+E(x29391,a4)+P5(f364(x29392,x29391))+~P5(f364(a318,x29391))+~P5(f364(x29392,f401(f369(a518,f155(x29392,x29391)),f154(x29392,x29391))))+~P5(f364(x29392,f401(f369(a518,f144(x29392,x29391)),a4)))
% 15.61/15.74 [2940]~P7(x29401)+E(x29401,a5)+P5(f365(x29402,x29401))+~P5(f365(a355,x29401))+~P5(f365(x29402,f426(f478(a529,f164(x29402,x29401)),f163(x29402,x29401))))+~P5(f365(x29402,f426(f478(a529,f156(x29402,x29401)),a5)))
% 15.61/15.74 [1762]~P1(x17621)+~P1(x17623)+~P4(x17622)+~E(x17621,f401(f369(a518,x17622),x17623))+~P5(f364(a318,x17623))+P5(f364(a318,x17621))
% 15.61/15.74 [1763]~P7(x17631)+~P7(x17633)+~P8(x17632)+~E(x17631,f426(f478(a529,x17632),x17633))+~P5(f365(a355,x17633))+P5(f365(a355,x17631))
% 15.61/15.74 [1784]~P1(x17843)+~P1(x17842)+~P4(x17841)+~E(x17843,a4)+~E(x17843,f401(f369(a518,x17841),x17842))+P5(f364(f372(a530,x17841),x17842))
% 15.61/15.74 [1785]~P7(x17853)+~P7(x17852)+~P8(x17851)+~E(x17853,a5)+~E(x17853,f426(f478(a529,x17851),x17852))+P5(f365(f471(a526,x17851),x17852))
% 15.61/15.74 [2088]~P1(x20882)+~P1(x20881)+E(x20881,x20882)+~E(f401(f369(a518,x20883),x20881),f401(f369(a518,x20883),x20882))+P5(f364(f372(a530,x20883),x20881))+P5(f364(f372(a530,x20883),x20882))
% 15.61/15.74 [2089]~P7(x20892)+~P7(x20891)+E(x20891,x20892)+~E(f426(f478(a529,x20893),x20891),f426(f478(a529,x20893),x20892))+P5(f365(f471(a526,x20893),x20891))+P5(f365(f471(a526,x20893),x20892))
% 15.61/15.74 [2417]~P1(x24171)+E(x24171,a4)+~P5(f358(x24172,x24173))+P4(f146(x24171,x24172,x24173))+~P5(f364(a318,x24171))+P5(f364(f372(a530,f437(x24173,x24171)),x24171))
% 15.61/15.74 [2418]~P1(x24181)+E(x24181,a4)+~P5(f358(x24182,x24183))+P4(f147(x24181,x24182,x24183))+~P5(f364(a318,x24181))+P5(f364(f372(a530,f437(x24183,x24181)),x24181))
% 15.61/15.74 [2419]~P7(x24191)+E(x24191,a5)+~P5(f321(x24192,x24193))+P8(f148(x24191,x24192,x24193))+~P5(f365(a355,x24191))+P5(f365(f471(a526,f387(x24193,x24191)),x24191))
% 15.61/15.74 [2420]~P7(x24201)+E(x24201,a5)+~P5(f321(x24202,x24203))+P8(f153(x24201,x24202,x24203))+~P5(f365(a355,x24201))+P5(f365(f471(a526,f387(x24203,x24201)),x24201))
% 15.61/15.74 [3056]~P1(x30561)+E(x30561,a4)+~P5(f358(x30563,x30562))+~P5(f364(a318,x30561))+P5(f364(f372(a530,f437(x30562,x30561)),x30561))+~P5(f364(f372(a530,f374(f375(x30563,f146(x30561,x30563,x30562)),f147(x30561,x30563,x30562))),f401(f369(a518,f146(x30561,x30563,x30562)),f401(f369(a518,f147(x30561,x30563,x30562)),a4))))
% 15.61/15.74 [3057]~P7(x30571)+E(x30571,a5)+~P5(f321(x30573,x30572))+~P5(f365(a355,x30571))+P5(f365(f471(a526,f387(x30572,x30571)),x30571))+~P5(f365(f471(a526,f479(f473(x30573,f148(x30571,x30573,x30572)),f153(x30571,x30573,x30572))),f426(f478(a529,f148(x30571,x30573,x30572)),f426(f478(a529,f153(x30571,x30573,x30572)),a5))))
% 15.61/15.74 [2268]~P1(x22681)+E(x22681,a4)+~P5(f340(x22682,x22683))+E(f374(f375(x22682,f437(x22683,x22681)),f437(x22683,x22684)),f437(x22683,x22684))+~P5(f364(a318,x22684))+~P5(f364(f392(a552,x22681),x22684))
% 15.61/15.74 [2269]~P7(x22691)+E(x22691,a5)+~P5(f342(x22692,x22693))+E(f479(f473(x22692,f387(x22693,x22691)),f387(x22693,x22694)),f387(x22693,x22694))+~P5(f365(a355,x22694))+~P5(f365(f419(a557,x22691),x22694))
% 15.61/15.74 [2172]~P1(x21721)+E(x21721,a4)+~P5(f358(x21722,x21724))+~P5(f364(a318,x21721))+E(f374(f375(x21722,x21723),f437(x21724,x21721)),f437(x21724,f401(f369(a518,x21723),x21721)))+P5(f364(f372(a530,x21723),x21721))
% 15.61/15.74 [2173]~P7(x21731)+E(x21731,a5)+~P5(f321(x21734,x21732))+~P5(f365(a355,x21731))+E(f387(x21732,f426(f478(a529,x21733),x21731)),f479(f473(x21734,x21733),f387(x21732,x21731)))+P5(f365(f471(a526,x21733),x21731))
% 15.61/15.74 [2427]~P4(x24273)+E(f437(x24271,x24272),x24273)+~P5(f358(x24274,x24271))+~P5(f364(a318,x24272))+~P5(f364(f372(a530,x24273),x24272))+~E(f401(f396(a535,x24272),f401(f369(a518,x24273),a4)),a4)
% 15.61/15.74 [2428]~P8(x24283)+E(f387(x24281,x24282),x24283)+~P5(f321(x24284,x24281))+~P5(f365(a355,x24282))+~P5(f365(f471(a526,x24283),x24282))+~E(f426(f386(a538,x24282),f426(f478(a529,x24283),a5)),a5)
% 15.61/15.74 [2854]~P4(x28542)+~P5(f358(x28543,x28544))+~P5(f364(a318,x28541))+~P5(f364(f372(a530,x28542),x28541))+E(f401(f396(a535,x28541),f401(f369(a518,x28542),a4)),a4)+E(f374(f375(x28543,x28542),f437(x28544,f401(f396(a535,x28541),f401(f369(a518,x28542),a4)))),f437(x28544,x28541))
% 15.61/15.74 [2855]~P8(x28552)+~P5(f321(x28553,x28554))+~P5(f365(a355,x28551))+~P5(f365(f471(a526,x28552),x28551))+E(f426(f386(a538,x28551),f426(f478(a529,x28552),a5)),a5)+E(f479(f473(x28553,x28552),f387(x28554,f426(f386(a538,x28551),f426(f478(a529,x28552),a5)))),f387(x28554,x28551))
% 15.61/15.74 [3037]~P5(f449(x30371,x30375))+P5(f449(x30372,f212(x30372,x30371,x30373)))+~P5(f449(f443(a563,a11),x30373))+P5(f449(x30371,f211(x30372,x30371,x30373)))+P5(f449(f443(a563,x30374),f213(x30372,x30371,x30373,x30374)))+P5(f449(x30371,f454(f453(a541,f211(x30372,x30371,x30373)),f454(f453(a573,f214(x30372,x30371,x30373)),x30373))))
% 15.61/15.74 [3041]~P5(f449(x30411,x30415))+P5(f449(x30412,f207(x30412,x30411,x30413)))+~P5(f449(f443(a563,a11),x30413))+P5(f449(x30411,f206(x30412,x30411,x30413)))+P5(f449(f443(a563,f208(x30412,x30411,x30413,x30414)),x30414))+P5(f449(x30411,f454(f453(a541,f206(x30412,x30411,x30413)),f454(f453(a573,f209(x30412,x30411,x30413)),x30413))))
% 15.61/15.74 [3042]~P5(f449(x30422,x30425))+~P5(f449(x30422,f211(x30421,x30422,x30423)))+~P5(f449(f443(a563,a11),x30423))+P5(f449(x30421,f212(x30421,x30422,x30423)))+P5(f449(f443(a563,x30424),f213(x30421,x30422,x30423,x30424)))+~P5(f449(x30422,f454(f453(a541,f211(x30421,x30422,x30423)),f454(f453(a573,f214(x30421,x30422,x30423)),x30423))))
% 15.61/15.74 [3051]~P5(f449(x30512,x30515))+~P5(f449(x30512,f206(x30511,x30512,x30513)))+~P5(f449(f443(a563,a11),x30513))+P5(f449(x30511,f207(x30511,x30512,x30513)))+P5(f449(f443(a563,f208(x30511,x30512,x30513,x30514)),x30514))+~P5(f449(x30512,f454(f453(a541,f206(x30511,x30512,x30513)),f454(f453(a573,f209(x30511,x30512,x30513)),x30513))))
% 15.61/15.74 [1990]~E(x19902,x19903)+~E(x19901,x19904)+~P4(x19903)+~P4(x19902)+~P4(x19904)+~P4(x19901)+E(f401(f369(a518,x19901),f401(f369(a518,x19902),a4)),f401(f369(a518,x19903),f401(f369(a518,x19904),a4)))
% 15.61/15.74 [2338]~P4(x23384)+~P4(x23382)+~P4(x23381)+~P4(x23383)+E(x23381,x23382)+E(x23383,x23381)+~E(f401(f369(a518,x23381),f401(f369(a518,x23384),a4)),f401(f369(a518,x23382),f401(f369(a518,x23383),a4)))
% 15.61/15.74 [2339]~P4(x23394)+~P4(x23392)+~P4(x23391)+~P4(x23393)+E(x23391,x23392)+E(x23393,x23391)+~E(f401(f369(a518,x23393),f401(f369(a518,x23392),a4)),f401(f369(a518,x23394),f401(f369(a518,x23391),a4)))
% 15.61/15.74 [2340]~P4(x23404)+~P4(x23402)+~P4(x23403)+~P4(x23401)+E(x23401,x23402)+E(x23401,x23403)+~E(f401(f369(a518,x23403),f401(f369(a518,x23402),a4)),f401(f369(a518,x23404),f401(f369(a518,x23401),a4)))
% 15.61/15.74 [2341]~P4(x23414)+~P4(x23412)+~P4(x23413)+~P4(x23411)+E(x23411,x23412)+E(x23411,x23413)+~E(f401(f369(a518,x23411),f401(f369(a518,x23414),a4)),f401(f369(a518,x23412),f401(f369(a518,x23413),a4)))
% 15.61/15.74 [3039]~P5(f449(x30391,x30395))+P5(f449(x30392,f207(x30392,x30391,x30393)))+~P5(f449(f443(a563,a11),x30393))+P5(f449(x30391,f206(x30392,x30391,x30393)))+P5(f449(x30391,f208(x30392,x30391,x30393,x30394)))+P5(f449(x30392,f208(x30392,x30391,x30393,x30394)))+P5(f449(x30391,f454(f453(a541,f206(x30392,x30391,x30393)),f454(f453(a573,f209(x30392,x30391,x30393)),x30393))))
% 15.61/15.74 [3040]~P5(f449(x30401,x30405))+P5(f449(x30402,f212(x30402,x30401,x30403)))+~P5(f449(f443(a563,a11),x30403))+P5(f449(x30401,f211(x30402,x30401,x30403)))+P5(f449(x30401,f213(x30402,x30401,x30403,x30404)))+P5(f449(x30402,f213(x30402,x30401,x30403,x30404)))+P5(f449(x30401,f454(f453(a541,f211(x30402,x30401,x30403)),f454(f453(a573,f214(x30402,x30401,x30403)),x30403))))
% 15.61/15.74 [3045]~P5(f449(x30451,x30454))+P5(f449(x30452,f207(x30452,x30451,x30453)))+~P5(f449(f443(a563,a11),x30453))+P5(f449(x30451,f206(x30452,x30451,x30453)))+~P5(f449(x30451,f208(x30452,x30451,x30453,x30455)))+~P5(f449(x30452,f208(x30452,x30451,x30453,x30455)))+P5(f449(x30451,f454(f453(a541,f206(x30452,x30451,x30453)),f454(f453(a573,f209(x30452,x30451,x30453)),x30453))))
% 15.61/15.74 [3046]~P5(f449(x30461,x30464))+P5(f449(x30462,f212(x30462,x30461,x30463)))+~P5(f449(f443(a563,a11),x30463))+P5(f449(x30461,f211(x30462,x30461,x30463)))+~P5(f449(x30461,f213(x30462,x30461,x30463,x30465)))+~P5(f449(x30462,f213(x30462,x30461,x30463,x30465)))+P5(f449(x30461,f454(f453(a541,f211(x30462,x30461,x30463)),f454(f453(a573,f214(x30462,x30461,x30463)),x30463))))
% 15.61/15.74 [3049]~P5(f449(x30492,x30495))+~P5(f449(x30492,f206(x30491,x30492,x30493)))+~P5(f449(f443(a563,a11),x30493))+P5(f449(x30491,f207(x30491,x30492,x30493)))+P5(f449(x30492,f208(x30491,x30492,x30493,x30494)))+P5(f449(x30491,f208(x30491,x30492,x30493,x30494)))+~P5(f449(x30492,f454(f453(a541,f206(x30491,x30492,x30493)),f454(f453(a573,f209(x30491,x30492,x30493)),x30493))))
% 15.61/15.74 [3050]~P5(f449(x30502,x30505))+~P5(f449(x30502,f211(x30501,x30502,x30503)))+~P5(f449(f443(a563,a11),x30503))+P5(f449(x30501,f212(x30501,x30502,x30503)))+P5(f449(x30502,f213(x30501,x30502,x30503,x30504)))+P5(f449(x30501,f213(x30501,x30502,x30503,x30504)))+~P5(f449(x30502,f454(f453(a541,f211(x30501,x30502,x30503)),f454(f453(a573,f214(x30501,x30502,x30503)),x30503))))
% 15.61/15.74 [3052]~P5(f449(x30522,x30524))+~P5(f449(x30522,f206(x30521,x30522,x30523)))+~P5(f449(f443(a563,a11),x30523))+P5(f449(x30521,f207(x30521,x30522,x30523)))+~P5(f449(x30522,f208(x30521,x30522,x30523,x30525)))+~P5(f449(x30521,f208(x30521,x30522,x30523,x30525)))+~P5(f449(x30522,f454(f453(a541,f206(x30521,x30522,x30523)),f454(f453(a573,f209(x30521,x30522,x30523)),x30523))))
% 15.61/15.74 [3053]~P5(f449(x30532,x30534))+~P5(f449(x30532,f211(x30531,x30532,x30533)))+~P5(f449(f443(a563,a11),x30533))+P5(f449(x30531,f212(x30531,x30532,x30533)))+~P5(f449(x30532,f213(x30531,x30532,x30533,x30535)))+~P5(f449(x30531,f213(x30531,x30532,x30533,x30535)))+~P5(f449(x30532,f454(f453(a541,f211(x30531,x30532,x30533)),f454(f453(a573,f214(x30531,x30532,x30533)),x30533))))
% 15.61/15.74 [2995]~P5(f449(f443(a551,a11),x29954))+~P5(f449(f443(a563,a11),x29955))+~P5(f449(f443(a551,x29955),x29953))+~P5(f449(f443(a563,x29956),x29955))+P5(f449(f443(a551,x29951),x29952))+~E(f454(f453(a568,f454(f453(a573,x29953),x29951)),x29954),f454(f453(a568,f454(f453(a573,x29955),x29952)),x29956))+~P5(f449(f443(a551,a11),f454(f453(a568,f454(f453(a573,x29955),x29952)),x29956)))
% 15.61/15.74 [3022]~P5(f449(f443(a551,a11),x30226))+~P5(f449(f443(a563,a11),x30225))+~P5(f449(f443(a551,x30225),x30223))+~P5(f449(f443(a563,x30224),x30223))+P5(f449(f443(a551,x30221),x30222))+~E(f454(f453(a568,f454(f453(a573,x30223),x30222)),x30224),f454(f453(a568,f454(f453(a573,x30225),x30221)),x30226))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a573,x30225),x30221)),x30226)),a11))
% 15.61/15.74 %EqnAxiom
% 15.61/15.74 [1]E(x11,x11)
% 15.61/15.74 [2]E(x22,x21)+~E(x21,x22)
% 15.61/15.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 15.61/15.74 [4]~E(x41,x42)+E(f14(x41),f14(x42))
% 15.61/15.74 [5]~E(x51,x52)+E(f75(x51),f75(x52))
% 15.61/15.74 [6]~E(x61,x62)+E(f316(x61),f316(x62))
% 15.61/15.74 [7]~E(x71,x72)+E(f6(x71),f6(x72))
% 15.61/15.74 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 15.61/15.74 [9]~E(x91,x92)+E(f76(x91),f76(x92))
% 15.61/15.74 [10]~E(x101,x102)+E(f582(x101),f582(x102))
% 15.61/15.74 [11]~E(x111,x112)+E(f586(x111),f586(x112))
% 15.61/15.74 [12]~E(x121,x122)+E(f588(x121),f588(x122))
% 15.61/15.74 [13]~E(x131,x132)+E(f360(x131),f360(x132))
% 15.61/15.74 [14]~E(x141,x142)+E(f361(x141,x143),f361(x142,x143))
% 15.61/15.74 [15]~E(x151,x152)+E(f361(x153,x151),f361(x153,x152))
% 15.61/15.74 [16]~E(x161,x162)+E(f362(x161,x163),f362(x162,x163))
% 15.61/15.74 [17]~E(x171,x172)+E(f362(x173,x171),f362(x173,x172))
% 15.61/15.74 [18]~E(x181,x182)+E(f363(x181,x183),f363(x182,x183))
% 15.61/15.74 [19]~E(x191,x192)+E(f363(x193,x191),f363(x193,x192))
% 15.61/15.74 [20]~E(x201,x202)+E(f469(x201,x203),f469(x202,x203))
% 15.61/15.74 [21]~E(x211,x212)+E(f469(x213,x211),f469(x213,x212))
% 15.61/15.74 [22]~E(x221,x222)+E(f420(x221,x223),f420(x222,x223))
% 15.61/15.74 [23]~E(x231,x232)+E(f420(x233,x231),f420(x233,x232))
% 15.61/15.74 [24]~E(x241,x242)+E(f454(x241,x243),f454(x242,x243))
% 15.61/15.74 [25]~E(x251,x252)+E(f454(x253,x251),f454(x253,x252))
% 15.61/15.74 [26]~E(x261,x262)+E(f514(x261,x263),f514(x262,x263))
% 15.61/15.74 [27]~E(x271,x272)+E(f514(x273,x271),f514(x273,x272))
% 15.61/15.74 [28]~E(x281,x282)+E(f443(x281,x283),f443(x282,x283))
% 15.61/15.74 [29]~E(x291,x292)+E(f443(x293,x291),f443(x293,x292))
% 15.61/15.74 [30]~E(x301,x302)+E(f464(x301,x303),f464(x302,x303))
% 15.61/15.74 [31]~E(x311,x312)+E(f464(x313,x311),f464(x313,x312))
% 15.61/15.74 [32]~E(x321,x322)+E(f77(x321),f77(x322))
% 15.61/15.74 [33]~E(x331,x332)+E(f85(x331,x333),f85(x332,x333))
% 15.61/15.74 [34]~E(x341,x342)+E(f85(x343,x341),f85(x343,x342))
% 15.61/15.74 [35]~E(x351,x352)+E(f364(x351,x353),f364(x352,x353))
% 15.61/15.74 [36]~E(x361,x362)+E(f364(x363,x361),f364(x363,x362))
% 15.61/15.74 [37]~E(x371,x372)+E(f365(x371,x373),f365(x372,x373))
% 15.61/15.74 [38]~E(x381,x382)+E(f365(x383,x381),f365(x383,x382))
% 15.61/15.74 [39]~E(x391,x392)+E(f163(x391,x393),f163(x392,x393))
% 15.61/15.74 [40]~E(x401,x402)+E(f163(x403,x401),f163(x403,x402))
% 15.61/15.74 [41]~E(x411,x412)+E(f394(x411,x413),f394(x412,x413))
% 15.61/15.74 [42]~E(x421,x422)+E(f394(x423,x421),f394(x423,x422))
% 15.61/15.74 [43]~E(x431,x432)+E(f453(x431,x433),f453(x432,x433))
% 15.61/15.74 [44]~E(x441,x442)+E(f453(x443,x441),f453(x443,x442))
% 15.61/15.74 [45]~E(x451,x452)+E(f465(x451,x453),f465(x452,x453))
% 15.61/15.74 [46]~E(x461,x462)+E(f465(x463,x461),f465(x463,x462))
% 15.61/15.74 [47]~E(x471,x472)+E(f510(x471,x473),f510(x472,x473))
% 15.61/15.74 [48]~E(x481,x482)+E(f510(x483,x481),f510(x483,x482))
% 15.61/15.74 [49]~E(x491,x492)+E(f466(x491,x493),f466(x492,x493))
% 15.61/15.74 [50]~E(x501,x502)+E(f466(x503,x501),f466(x503,x502))
% 15.61/15.74 [51]~E(x511,x512)+E(f509(x511,x513),f509(x512,x513))
% 15.61/15.74 [52]~E(x521,x522)+E(f509(x523,x521),f509(x523,x522))
% 15.61/15.74 [53]~E(x531,x532)+E(f438(x531,x533),f438(x532,x533))
% 15.61/15.74 [54]~E(x541,x542)+E(f438(x543,x541),f438(x543,x542))
% 15.61/15.74 [55]~E(x551,x552)+E(f451(x551,x553),f451(x552,x553))
% 15.61/15.74 [56]~E(x561,x562)+E(f451(x563,x561),f451(x563,x562))
% 15.61/15.74 [57]~E(x571,x572)+E(f511(x571,x573),f511(x572,x573))
% 15.61/15.74 [58]~E(x581,x582)+E(f511(x583,x581),f511(x583,x582))
% 15.61/15.74 [59]~E(x591,x592)+E(f515(x591,x593),f515(x592,x593))
% 15.61/15.74 [60]~E(x601,x602)+E(f515(x603,x601),f515(x603,x602))
% 15.61/15.74 [61]~E(x611,x612)+E(f467(x611,x613),f467(x612,x613))
% 15.61/15.74 [62]~E(x621,x622)+E(f467(x623,x621),f467(x623,x622))
% 15.61/15.74 [63]~E(x631,x632)+E(f468(x631,x633),f468(x632,x633))
% 15.61/15.74 [64]~E(x641,x642)+E(f468(x643,x641),f468(x643,x642))
% 15.61/15.74 [65]~E(x651,x652)+E(f439(x651,x653),f439(x652,x653))
% 15.61/15.74 [66]~E(x661,x662)+E(f439(x663,x661),f439(x663,x662))
% 15.61/15.74 [67]~E(x671,x672)+E(f452(x671,x673),f452(x672,x673))
% 15.61/15.74 [68]~E(x681,x682)+E(f452(x683,x681),f452(x683,x682))
% 15.61/15.74 [69]~E(x691,x692)+E(f512(x691,x693),f512(x692,x693))
% 15.61/15.74 [70]~E(x701,x702)+E(f512(x703,x701),f512(x703,x702))
% 15.61/15.74 [71]~E(x711,x712)+E(f513(x711,x713),f513(x712,x713))
% 15.61/15.74 [72]~E(x721,x722)+E(f513(x723,x721),f513(x723,x722))
% 15.61/15.74 [73]~E(x731,x732)+E(f448(x731,x733),f448(x732,x733))
% 15.61/15.74 [74]~E(x741,x742)+E(f448(x743,x741),f448(x743,x742))
% 15.61/15.74 [75]~E(x751,x752)+E(f456(x751,x753),f456(x752,x753))
% 15.61/15.74 [76]~E(x761,x762)+E(f456(x763,x761),f456(x763,x762))
% 15.61/15.74 [77]~E(x771,x772)+E(f358(x771,x773),f358(x772,x773))
% 15.61/15.74 [78]~E(x781,x782)+E(f358(x783,x781),f358(x783,x782))
% 15.61/15.74 [79]~E(x791,x792)+E(f321(x791,x793),f321(x792,x793))
% 15.61/15.74 [80]~E(x801,x802)+E(f321(x803,x801),f321(x803,x802))
% 15.61/15.74 [81]~E(x811,x812)+E(f333(x811,x813),f333(x812,x813))
% 15.61/15.74 [82]~E(x821,x822)+E(f333(x823,x821),f333(x823,x822))
% 15.61/15.74 [83]~E(x831,x832)+E(f339(x831,x833),f339(x832,x833))
% 15.61/15.74 [84]~E(x841,x842)+E(f339(x843,x841),f339(x843,x842))
% 15.61/15.74 [85]~E(x851,x852)+E(f340(x851,x853),f340(x852,x853))
% 15.61/15.74 [86]~E(x861,x862)+E(f340(x863,x861),f340(x863,x862))
% 15.61/15.74 [87]~E(x871,x872)+E(f342(x871,x873),f342(x872,x873))
% 15.61/15.74 [88]~E(x881,x882)+E(f342(x883,x881),f342(x883,x882))
% 15.61/15.74 [89]~E(x891,x892)+E(f334(x891,x893),f334(x892,x893))
% 15.61/15.74 [90]~E(x901,x902)+E(f334(x903,x901),f334(x903,x902))
% 15.61/15.74 [91]~E(x911,x912)+E(f343(x911,x913),f343(x912,x913))
% 15.61/15.74 [92]~E(x921,x922)+E(f343(x923,x921),f343(x923,x922))
% 15.61/15.74 [93]~E(x931,x932)+E(f449(x931,x933),f449(x932,x933))
% 15.61/15.74 [94]~E(x941,x942)+E(f449(x943,x941),f449(x943,x942))
% 15.61/15.74 [95]~E(x951,x952)+E(f458(x951,x953),f458(x952,x953))
% 15.61/15.74 [96]~E(x961,x962)+E(f458(x963,x961),f458(x963,x962))
% 15.61/15.74 [97]~E(x971,x972)+E(f461(x971,x973),f461(x972,x973))
% 15.61/15.74 [98]~E(x981,x982)+E(f461(x983,x981),f461(x983,x982))
% 15.61/15.74 [99]~E(x991,x992)+E(f402(x991,x993),f402(x992,x993))
% 15.61/15.74 [100]~E(x1001,x1002)+E(f402(x1003,x1001),f402(x1003,x1002))
% 15.61/15.74 [101]~E(x1011,x1012)+E(f395(x1011,x1013),f395(x1012,x1013))
% 15.61/15.74 [102]~E(x1021,x1022)+E(f395(x1023,x1021),f395(x1023,x1022))
% 15.61/15.74 [103]~E(x1031,x1032)+E(f366(x1031,x1033),f366(x1032,x1033))
% 15.61/15.74 [104]~E(x1041,x1042)+E(f366(x1043,x1041),f366(x1043,x1042))
% 15.61/15.74 [105]~E(x1051,x1052)+E(f411(x1051,x1053),f411(x1052,x1053))
% 15.61/15.74 [106]~E(x1061,x1062)+E(f411(x1063,x1061),f411(x1063,x1062))
% 15.61/15.74 [107]~E(x1071,x1072)+E(f417(x1071,x1073),f417(x1072,x1073))
% 15.61/15.74 [108]~E(x1081,x1082)+E(f417(x1083,x1081),f417(x1083,x1082))
% 15.61/15.74 [109]~E(x1091,x1092)+E(f367(x1091,x1093),f367(x1092,x1093))
% 15.61/15.74 [110]~E(x1101,x1102)+E(f367(x1103,x1101),f367(x1103,x1102))
% 15.61/15.74 [111]~E(x1111,x1112)+E(f424(x1111,x1113),f424(x1112,x1113))
% 15.61/15.74 [112]~E(x1121,x1122)+E(f424(x1123,x1121),f424(x1123,x1122))
% 15.61/15.74 [113]~E(x1131,x1132)+E(f495(x1131,x1133),f495(x1132,x1133))
% 15.61/15.74 [114]~E(x1141,x1142)+E(f495(x1143,x1141),f495(x1143,x1142))
% 15.61/15.74 [115]~E(x1151,x1152)+E(f369(x1151,x1153),f369(x1152,x1153))
% 15.61/15.74 [116]~E(x1161,x1162)+E(f369(x1163,x1161),f369(x1163,x1162))
% 15.61/15.74 [117]~E(x1171,x1172)+E(f440(x1171,x1173),f440(x1172,x1173))
% 15.61/15.74 [118]~E(x1181,x1182)+E(f440(x1183,x1181),f440(x1183,x1182))
% 15.61/15.74 [119]~E(x1191,x1192)+E(f459(x1191,x1193),f459(x1192,x1193))
% 15.61/15.74 [120]~E(x1201,x1202)+E(f459(x1203,x1201),f459(x1203,x1202))
% 15.61/15.74 [121]~E(x1211,x1212)+E(f450(x1211,x1213),f450(x1212,x1213))
% 15.61/15.74 [122]~E(x1221,x1222)+E(f450(x1223,x1221),f450(x1223,x1222))
% 15.61/15.74 [123]~E(x1231,x1232)+E(f462(x1231,x1233),f462(x1232,x1233))
% 15.61/15.74 [124]~E(x1241,x1242)+E(f462(x1243,x1241),f462(x1243,x1242))
% 15.61/15.74 [125]~E(x1251,x1252)+E(f415(x1251,x1253),f415(x1252,x1253))
% 15.61/15.74 [126]~E(x1261,x1262)+E(f415(x1263,x1261),f415(x1263,x1262))
% 15.61/15.74 [127]~E(x1271,x1272)+E(f396(x1271,x1273),f396(x1272,x1273))
% 15.61/15.74 [128]~E(x1281,x1282)+E(f396(x1283,x1281),f396(x1283,x1282))
% 15.61/15.74 [129]~E(x1291,x1292)+E(f401(x1291,x1293),f401(x1292,x1293))
% 15.61/15.74 [130]~E(x1301,x1302)+E(f401(x1303,x1301),f401(x1303,x1302))
% 15.61/15.74 [131]~E(x1311,x1312)+E(f397(x1311,x1313),f397(x1312,x1313))
% 15.61/15.74 [132]~E(x1321,x1322)+E(f397(x1323,x1321),f397(x1323,x1322))
% 15.61/15.74 [133]~E(x1331,x1332)+E(f425(x1331,x1333),f425(x1332,x1333))
% 15.61/15.74 [134]~E(x1341,x1342)+E(f425(x1343,x1341),f425(x1343,x1342))
% 15.61/15.74 [135]~E(x1351,x1352)+E(f368(x1351,x1353),f368(x1352,x1353))
% 15.61/15.74 [136]~E(x1361,x1362)+E(f368(x1363,x1361),f368(x1363,x1362))
% 15.61/15.74 [137]~E(x1371,x1372)+E(f460(x1371,x1373),f460(x1372,x1373))
% 15.61/15.74 [138]~E(x1381,x1382)+E(f460(x1383,x1381),f460(x1383,x1382))
% 15.61/15.74 [139]~E(x1391,x1392)+E(f79(x1391,x1393),f79(x1392,x1393))
% 15.61/15.74 [140]~E(x1401,x1402)+E(f79(x1403,x1401),f79(x1403,x1402))
% 15.61/15.74 [141]~E(x1411,x1412)+E(f419(x1411,x1413),f419(x1412,x1413))
% 15.61/15.74 [142]~E(x1421,x1422)+E(f419(x1423,x1421),f419(x1423,x1422))
% 15.61/15.74 [143]~E(x1431,x1432)+E(f291(x1431,x1433,x1434),f291(x1432,x1433,x1434))
% 15.61/15.74 [144]~E(x1441,x1442)+E(f291(x1443,x1441,x1444),f291(x1443,x1442,x1444))
% 15.61/15.74 [145]~E(x1451,x1452)+E(f291(x1453,x1454,x1451),f291(x1453,x1454,x1452))
% 15.61/15.74 [146]~E(x1461,x1462)+E(f392(x1461,x1463),f392(x1462,x1463))
% 15.61/15.74 [147]~E(x1471,x1472)+E(f392(x1473,x1471),f392(x1473,x1472))
% 15.61/15.74 [148]~E(x1481,x1482)+E(f441(x1481,x1483),f441(x1482,x1483))
% 15.61/15.74 [149]~E(x1491,x1492)+E(f441(x1493,x1491),f441(x1493,x1492))
% 15.61/15.74 [150]~E(x1501,x1502)+E(f422(x1501,x1503),f422(x1502,x1503))
% 15.61/15.74 [151]~E(x1511,x1512)+E(f422(x1513,x1511),f422(x1513,x1512))
% 15.61/15.74 [152]~E(x1521,x1522)+E(f92(x1521),f92(x1522))
% 15.61/15.74 [153]~E(x1531,x1532)+E(f372(x1531,x1533),f372(x1532,x1533))
% 15.61/15.74 [154]~E(x1541,x1542)+E(f372(x1543,x1541),f372(x1543,x1542))
% 15.61/15.74 [155]~E(x1551,x1552)+E(f164(x1551,x1553),f164(x1552,x1553))
% 15.61/15.74 [156]~E(x1561,x1562)+E(f164(x1563,x1561),f164(x1563,x1562))
% 15.61/15.74 [157]~E(x1571,x1572)+E(f158(x1571,x1573),f158(x1572,x1573))
% 15.61/15.74 [158]~E(x1581,x1582)+E(f158(x1583,x1581),f158(x1583,x1582))
% 15.61/15.74 [159]~E(x1591,x1592)+E(f435(x1591,x1593),f435(x1592,x1593))
% 15.61/15.74 [160]~E(x1601,x1602)+E(f435(x1603,x1601),f435(x1603,x1602))
% 15.61/15.74 [161]~E(x1611,x1612)+E(f426(x1611,x1613),f426(x1612,x1613))
% 15.61/15.74 [162]~E(x1621,x1622)+E(f426(x1623,x1621),f426(x1623,x1622))
% 15.61/15.74 [163]~E(x1631,x1632)+E(f273(x1631,x1633),f273(x1632,x1633))
% 15.61/15.74 [164]~E(x1641,x1642)+E(f273(x1643,x1641),f273(x1643,x1642))
% 15.61/15.74 [165]~E(x1651,x1652)+E(f478(x1651,x1653),f478(x1652,x1653))
% 15.61/15.74 [166]~E(x1661,x1662)+E(f478(x1663,x1661),f478(x1663,x1662))
% 15.61/15.74 [167]~E(x1671,x1672)+E(f377(x1671,x1673),f377(x1672,x1673))
% 15.61/15.74 [168]~E(x1681,x1682)+E(f377(x1683,x1681),f377(x1683,x1682))
% 15.61/15.74 [169]~E(x1691,x1692)+E(f413(x1691,x1693),f413(x1692,x1693))
% 15.61/15.74 [170]~E(x1701,x1702)+E(f413(x1703,x1701),f413(x1703,x1702))
% 15.61/15.74 [171]~E(x1711,x1712)+E(f387(x1711,x1713),f387(x1712,x1713))
% 15.61/15.74 [172]~E(x1721,x1722)+E(f387(x1723,x1721),f387(x1723,x1722))
% 15.61/15.74 [173]~E(x1731,x1732)+E(f475(x1731,x1733),f475(x1732,x1733))
% 15.61/15.74 [174]~E(x1741,x1742)+E(f475(x1743,x1741),f475(x1743,x1742))
% 15.61/15.74 [175]~E(x1751,x1752)+E(f107(x1751,x1753,x1754),f107(x1752,x1753,x1754))
% 15.61/15.74 [176]~E(x1761,x1762)+E(f107(x1763,x1761,x1764),f107(x1763,x1762,x1764))
% 15.61/15.74 [177]~E(x1771,x1772)+E(f107(x1773,x1774,x1771),f107(x1773,x1774,x1772))
% 15.61/15.74 [178]~E(x1781,x1782)+E(f282(x1781,x1783,x1784),f282(x1782,x1783,x1784))
% 15.61/15.74 [179]~E(x1791,x1792)+E(f282(x1793,x1791,x1794),f282(x1793,x1792,x1794))
% 15.61/15.74 [180]~E(x1801,x1802)+E(f282(x1803,x1804,x1801),f282(x1803,x1804,x1802))
% 15.61/15.74 [181]~E(x1811,x1812)+E(f94(x1811),f94(x1812))
% 15.61/15.74 [182]~E(x1821,x1822)+E(f445(x1821,x1823),f445(x1822,x1823))
% 15.61/15.74 [183]~E(x1831,x1832)+E(f445(x1833,x1831),f445(x1833,x1832))
% 15.61/15.74 [184]~E(x1841,x1842)+E(f432(x1841,x1843),f432(x1842,x1843))
% 15.61/15.74 [185]~E(x1851,x1852)+E(f432(x1853,x1851),f432(x1853,x1852))
% 15.61/15.74 [186]~E(x1861,x1862)+E(f137(x1861),f137(x1862))
% 15.61/15.74 [187]~E(x1871,x1872)+E(f376(x1871,x1873),f376(x1872,x1873))
% 15.61/15.74 [188]~E(x1881,x1882)+E(f376(x1883,x1881),f376(x1883,x1882))
% 15.61/15.74 [189]~E(x1891,x1892)+E(f427(x1891,x1893),f427(x1892,x1893))
% 15.91/15.74 [190]~E(x1901,x1902)+E(f427(x1903,x1901),f427(x1903,x1902))
% 15.91/15.74 [191]~E(x1911,x1912)+E(f436(x1911,x1913),f436(x1912,x1913))
% 15.91/15.74 [192]~E(x1921,x1922)+E(f436(x1923,x1921),f436(x1923,x1922))
% 15.91/15.74 [193]~E(x1931,x1932)+E(f42(x1931,x1933),f42(x1932,x1933))
% 15.91/15.74 [194]~E(x1941,x1942)+E(f42(x1943,x1941),f42(x1943,x1942))
% 15.91/15.74 [195]~E(x1951,x1952)+E(f299(x1951,x1953),f299(x1952,x1953))
% 15.91/15.74 [196]~E(x1961,x1962)+E(f299(x1963,x1961),f299(x1963,x1962))
% 15.91/15.74 [197]~E(x1971,x1972)+E(f414(x1971,x1973),f414(x1972,x1973))
% 15.91/15.74 [198]~E(x1981,x1982)+E(f414(x1983,x1981),f414(x1983,x1982))
% 15.91/15.74 [199]~E(x1991,x1992)+E(f434(x1991,x1993),f434(x1992,x1993))
% 15.91/15.74 [200]~E(x2001,x2002)+E(f434(x2003,x2001),f434(x2003,x2002))
% 15.91/15.74 [201]~E(x2011,x2012)+E(f202(x2011,x2013,x2014),f202(x2012,x2013,x2014))
% 15.91/15.74 [202]~E(x2021,x2022)+E(f202(x2023,x2021,x2024),f202(x2023,x2022,x2024))
% 15.91/15.74 [203]~E(x2031,x2032)+E(f202(x2033,x2034,x2031),f202(x2033,x2034,x2032))
% 15.91/15.74 [204]~E(x2041,x2042)+E(f388(x2041,x2043),f388(x2042,x2043))
% 15.91/15.74 [205]~E(x2051,x2052)+E(f388(x2053,x2051),f388(x2053,x2052))
% 15.91/15.74 [206]~E(x2061,x2062)+E(f493(x2061,x2063),f493(x2062,x2063))
% 15.91/15.74 [207]~E(x2071,x2072)+E(f493(x2073,x2071),f493(x2073,x2072))
% 15.91/15.74 [208]~E(x2081,x2082)+E(f253(x2081,x2083,x2084),f253(x2082,x2083,x2084))
% 15.91/15.74 [209]~E(x2091,x2092)+E(f253(x2093,x2091,x2094),f253(x2093,x2092,x2094))
% 15.91/15.74 [210]~E(x2101,x2102)+E(f253(x2103,x2104,x2101),f253(x2103,x2104,x2102))
% 15.91/15.74 [211]~E(x2111,x2112)+E(f406(x2111,x2113),f406(x2112,x2113))
% 15.91/15.74 [212]~E(x2121,x2122)+E(f406(x2123,x2121),f406(x2123,x2122))
% 15.91/15.74 [213]~E(x2131,x2132)+E(f498(x2131,x2133),f498(x2132,x2133))
% 15.91/15.74 [214]~E(x2141,x2142)+E(f498(x2143,x2141),f498(x2143,x2142))
% 15.91/15.74 [215]~E(x2151,x2152)+E(f185(x2151,x2153,x2154),f185(x2152,x2153,x2154))
% 15.91/15.74 [216]~E(x2161,x2162)+E(f185(x2163,x2161,x2164),f185(x2163,x2162,x2164))
% 15.91/15.74 [217]~E(x2171,x2172)+E(f185(x2173,x2174,x2171),f185(x2173,x2174,x2172))
% 15.91/15.74 [218]~E(x2181,x2182)+E(f488(x2181,x2183),f488(x2182,x2183))
% 15.91/15.74 [219]~E(x2191,x2192)+E(f488(x2193,x2191),f488(x2193,x2192))
% 15.91/15.74 [220]~E(x2201,x2202)+E(f437(x2201,x2203),f437(x2202,x2203))
% 15.91/15.74 [221]~E(x2211,x2212)+E(f437(x2213,x2211),f437(x2213,x2212))
% 15.91/15.74 [222]~E(x2221,x2222)+E(f389(x2221,x2223),f389(x2222,x2223))
% 15.91/15.74 [223]~E(x2231,x2232)+E(f389(x2233,x2231),f389(x2233,x2232))
% 15.91/15.74 [224]~E(x2241,x2242)+E(f139(x2241),f139(x2242))
% 15.91/15.74 [225]~E(x2251,x2252)+E(f132(x2251,x2253,x2254),f132(x2252,x2253,x2254))
% 15.91/15.74 [226]~E(x2261,x2262)+E(f132(x2263,x2261,x2264),f132(x2263,x2262,x2264))
% 15.91/15.74 [227]~E(x2271,x2272)+E(f132(x2273,x2274,x2271),f132(x2273,x2274,x2272))
% 15.91/15.74 [228]~E(x2281,x2282)+E(f508(x2281,x2283),f508(x2282,x2283))
% 15.91/15.74 [229]~E(x2291,x2292)+E(f508(x2293,x2291),f508(x2293,x2292))
% 15.91/15.74 [230]~E(x2301,x2302)+E(f297(x2301,x2303,x2304),f297(x2302,x2303,x2304))
% 15.91/15.74 [231]~E(x2311,x2312)+E(f297(x2313,x2311,x2314),f297(x2313,x2312,x2314))
% 15.91/15.74 [232]~E(x2321,x2322)+E(f297(x2323,x2324,x2321),f297(x2323,x2324,x2322))
% 15.91/15.74 [233]~E(x2331,x2332)+E(f240(x2331,x2333,x2334,x2335),f240(x2332,x2333,x2334,x2335))
% 15.91/15.74 [234]~E(x2341,x2342)+E(f240(x2343,x2341,x2344,x2345),f240(x2343,x2342,x2344,x2345))
% 15.91/15.74 [235]~E(x2351,x2352)+E(f240(x2353,x2354,x2351,x2355),f240(x2353,x2354,x2352,x2355))
% 15.91/15.74 [236]~E(x2361,x2362)+E(f240(x2363,x2364,x2365,x2361),f240(x2363,x2364,x2365,x2362))
% 15.91/15.74 [237]~E(x2371,x2372)+E(f86(x2371),f86(x2372))
% 15.91/15.74 [238]~E(x2381,x2382)+E(f17(x2381),f17(x2382))
% 15.91/15.74 [239]~E(x2391,x2392)+E(f407(x2391,x2393),f407(x2392,x2393))
% 15.91/15.74 [240]~E(x2401,x2402)+E(f407(x2403,x2401),f407(x2403,x2402))
% 15.91/15.74 [241]~E(x2411,x2412)+E(f412(x2411,x2413),f412(x2412,x2413))
% 15.91/15.74 [242]~E(x2421,x2422)+E(f412(x2423,x2421),f412(x2423,x2422))
% 15.91/15.74 [243]~E(x2431,x2432)+E(f370(x2431,x2433),f370(x2432,x2433))
% 15.91/15.74 [244]~E(x2441,x2442)+E(f370(x2443,x2441),f370(x2443,x2442))
% 15.91/15.74 [245]~E(x2451,x2452)+E(f231(x2451,x2453,x2454),f231(x2452,x2453,x2454))
% 15.91/15.74 [246]~E(x2461,x2462)+E(f231(x2463,x2461,x2464),f231(x2463,x2462,x2464))
% 15.91/15.74 [247]~E(x2471,x2472)+E(f231(x2473,x2474,x2471),f231(x2473,x2474,x2472))
% 15.91/15.74 [248]~E(x2481,x2482)+E(f230(x2481,x2483,x2484),f230(x2482,x2483,x2484))
% 15.91/15.74 [249]~E(x2491,x2492)+E(f230(x2493,x2491,x2494),f230(x2493,x2492,x2494))
% 15.91/15.74 [250]~E(x2501,x2502)+E(f230(x2503,x2504,x2501),f230(x2503,x2504,x2502))
% 15.91/15.74 [251]~E(x2511,x2512)+E(f470(x2511),f470(x2512))
% 15.91/15.74 [252]~E(x2521,x2522)+E(f220(x2521),f220(x2522))
% 15.91/15.74 [253]~E(x2531,x2532)+E(f290(x2531,x2533,x2534),f290(x2532,x2533,x2534))
% 15.91/15.74 [254]~E(x2541,x2542)+E(f290(x2543,x2541,x2544),f290(x2543,x2542,x2544))
% 15.91/15.74 [255]~E(x2551,x2552)+E(f290(x2553,x2554,x2551),f290(x2553,x2554,x2552))
% 15.91/15.74 [256]~E(x2561,x2562)+E(f213(x2561,x2563,x2564,x2565),f213(x2562,x2563,x2564,x2565))
% 15.91/15.74 [257]~E(x2571,x2572)+E(f213(x2573,x2571,x2574,x2575),f213(x2573,x2572,x2574,x2575))
% 15.91/15.74 [258]~E(x2581,x2582)+E(f213(x2583,x2584,x2581,x2585),f213(x2583,x2584,x2582,x2585))
% 15.91/15.74 [259]~E(x2591,x2592)+E(f213(x2593,x2594,x2595,x2591),f213(x2593,x2594,x2595,x2592))
% 15.91/15.74 [260]~E(x2601,x2602)+E(f112(x2601,x2603,x2604),f112(x2602,x2603,x2604))
% 15.91/15.74 [261]~E(x2611,x2612)+E(f112(x2613,x2611,x2614),f112(x2613,x2612,x2614))
% 15.91/15.74 [262]~E(x2621,x2622)+E(f112(x2623,x2624,x2621),f112(x2623,x2624,x2622))
% 15.91/15.74 [263]~E(x2631,x2632)+E(f154(x2631,x2633),f154(x2632,x2633))
% 15.91/15.74 [264]~E(x2641,x2642)+E(f154(x2643,x2641),f154(x2643,x2642))
% 15.91/15.74 [265]~E(x2651,x2652)+E(f251(x2651,x2653,x2654),f251(x2652,x2653,x2654))
% 15.91/15.74 [266]~E(x2661,x2662)+E(f251(x2663,x2661,x2664),f251(x2663,x2662,x2664))
% 15.91/15.74 [267]~E(x2671,x2672)+E(f251(x2673,x2674,x2671),f251(x2673,x2674,x2672))
% 15.91/15.74 [268]~E(x2681,x2682)+E(f418(x2681,x2683),f418(x2682,x2683))
% 15.91/15.74 [269]~E(x2691,x2692)+E(f418(x2693,x2691),f418(x2693,x2692))
% 15.91/15.74 [270]~E(x2701,x2702)+E(f385(x2701,x2703),f385(x2702,x2703))
% 15.91/15.74 [271]~E(x2711,x2712)+E(f385(x2713,x2711),f385(x2713,x2712))
% 15.91/15.74 [272]~E(x2721,x2722)+E(f263(x2721,x2723,x2724),f263(x2722,x2723,x2724))
% 15.91/15.74 [273]~E(x2731,x2732)+E(f263(x2733,x2731,x2734),f263(x2733,x2732,x2734))
% 15.91/15.74 [274]~E(x2741,x2742)+E(f263(x2743,x2744,x2741),f263(x2743,x2744,x2742))
% 15.91/15.74 [275]~E(x2751,x2752)+E(f180(x2751),f180(x2752))
% 15.91/15.74 [276]~E(x2761,x2762)+E(f243(x2761,x2763,x2764),f243(x2762,x2763,x2764))
% 15.91/15.74 [277]~E(x2771,x2772)+E(f243(x2773,x2771,x2774),f243(x2773,x2772,x2774))
% 15.91/15.74 [278]~E(x2781,x2782)+E(f243(x2783,x2784,x2781),f243(x2783,x2784,x2782))
% 15.91/15.74 [279]~E(x2791,x2792)+E(f471(x2791,x2793),f471(x2792,x2793))
% 15.91/15.74 [280]~E(x2801,x2802)+E(f471(x2803,x2801),f471(x2803,x2802))
% 15.91/15.74 [281]~E(x2811,x2812)+E(f289(x2811,x2813,x2814),f289(x2812,x2813,x2814))
% 15.91/15.74 [282]~E(x2821,x2822)+E(f289(x2823,x2821,x2824),f289(x2823,x2822,x2824))
% 15.91/15.74 [283]~E(x2831,x2832)+E(f289(x2833,x2834,x2831),f289(x2833,x2834,x2832))
% 15.91/15.74 [284]~E(x2841,x2842)+E(f374(x2841,x2843),f374(x2842,x2843))
% 15.91/15.74 [285]~E(x2851,x2852)+E(f374(x2853,x2851),f374(x2853,x2852))
% 15.91/15.74 [286]~E(x2861,x2862)+E(f430(x2861,x2863),f430(x2862,x2863))
% 15.91/15.74 [287]~E(x2871,x2872)+E(f430(x2873,x2871),f430(x2873,x2872))
% 15.91/15.74 [288]~E(x2881,x2882)+E(f192(x2881,x2883),f192(x2882,x2883))
% 15.91/15.74 [289]~E(x2891,x2892)+E(f192(x2893,x2891),f192(x2893,x2892))
% 15.91/15.74 [290]~E(x2901,x2902)+E(f160(x2901,x2903),f160(x2902,x2903))
% 15.91/15.74 [291]~E(x2911,x2912)+E(f160(x2913,x2911),f160(x2913,x2912))
% 15.91/15.74 [292]~E(x2921,x2922)+E(f378(x2921,x2923),f378(x2922,x2923))
% 15.91/15.74 [293]~E(x2931,x2932)+E(f378(x2933,x2931),f378(x2933,x2932))
% 15.91/15.74 [294]~E(x2941,x2942)+E(f36(x2941,x2943),f36(x2942,x2943))
% 15.91/15.74 [295]~E(x2951,x2952)+E(f36(x2953,x2951),f36(x2953,x2952))
% 15.91/15.74 [296]~E(x2961,x2962)+E(f501(x2961,x2963),f501(x2962,x2963))
% 15.91/15.74 [297]~E(x2971,x2972)+E(f501(x2973,x2971),f501(x2973,x2972))
% 15.91/15.74 [298]~E(x2981,x2982)+E(f359(x2981,x2983),f359(x2982,x2983))
% 15.91/15.74 [299]~E(x2991,x2992)+E(f359(x2993,x2991),f359(x2993,x2992))
% 15.91/15.74 [300]~E(x3001,x3002)+E(f587(x3001),f587(x3002))
% 15.91/15.74 [301]~E(x3011,x3012)+E(f295(x3011,x3013),f295(x3012,x3013))
% 15.91/15.74 [302]~E(x3021,x3022)+E(f295(x3023,x3021),f295(x3023,x3022))
% 15.91/15.74 [303]~E(x3031,x3032)+E(f583(x3031),f583(x3032))
% 15.91/15.74 [304]~E(x3041,x3042)+E(f507(x3041,x3043),f507(x3042,x3043))
% 15.91/15.74 [305]~E(x3051,x3052)+E(f507(x3053,x3051),f507(x3053,x3052))
% 15.91/15.74 [306]~E(x3061,x3062)+E(f189(x3061),f189(x3062))
% 15.91/15.74 [307]~E(x3071,x3072)+E(f486(x3071,x3073),f486(x3072,x3073))
% 15.91/15.74 [308]~E(x3081,x3082)+E(f486(x3083,x3081),f486(x3083,x3082))
% 15.91/15.74 [309]~E(x3091,x3092)+E(f245(x3091,x3093,x3094),f245(x3092,x3093,x3094))
% 15.91/15.74 [310]~E(x3101,x3102)+E(f245(x3103,x3101,x3104),f245(x3103,x3102,x3104))
% 15.91/15.74 [311]~E(x3111,x3112)+E(f245(x3113,x3114,x3111),f245(x3113,x3114,x3112))
% 15.91/15.74 [312]~E(x3121,x3122)+E(f286(x3121,x3123),f286(x3122,x3123))
% 15.91/15.74 [313]~E(x3131,x3132)+E(f286(x3133,x3131),f286(x3133,x3132))
% 15.91/15.74 [314]~E(x3141,x3142)+E(f78(x3141,x3143),f78(x3142,x3143))
% 15.91/15.74 [315]~E(x3151,x3152)+E(f78(x3153,x3151),f78(x3153,x3152))
% 15.91/15.74 [316]~E(x3161,x3162)+E(f18(x3161),f18(x3162))
% 15.91/15.74 [317]~E(x3171,x3172)+E(f45(x3171,x3173),f45(x3172,x3173))
% 15.91/15.74 [318]~E(x3181,x3182)+E(f45(x3183,x3181),f45(x3183,x3182))
% 15.91/15.74 [319]~E(x3191,x3192)+E(f110(x3191,x3193,x3194),f110(x3192,x3193,x3194))
% 15.91/15.74 [320]~E(x3201,x3202)+E(f110(x3203,x3201,x3204),f110(x3203,x3202,x3204))
% 15.91/15.74 [321]~E(x3211,x3212)+E(f110(x3213,x3214,x3211),f110(x3213,x3214,x3212))
% 15.91/15.74 [322]~E(x3221,x3222)+E(f409(x3221,x3223),f409(x3222,x3223))
% 15.91/15.74 [323]~E(x3231,x3232)+E(f409(x3233,x3231),f409(x3233,x3232))
% 15.91/15.74 [324]~E(x3241,x3242)+E(f83(x3241,x3243),f83(x3242,x3243))
% 15.91/15.74 [325]~E(x3251,x3252)+E(f83(x3253,x3251),f83(x3253,x3252))
% 15.91/15.74 [326]~E(x3261,x3262)+E(f123(x3261,x3263),f123(x3262,x3263))
% 15.91/15.74 [327]~E(x3271,x3272)+E(f123(x3273,x3271),f123(x3273,x3272))
% 15.91/15.74 [328]~E(x3281,x3282)+E(f258(x3281,x3283,x3284),f258(x3282,x3283,x3284))
% 15.91/15.74 [329]~E(x3291,x3292)+E(f258(x3293,x3291,x3294),f258(x3293,x3292,x3294))
% 15.91/15.74 [330]~E(x3301,x3302)+E(f258(x3303,x3304,x3301),f258(x3303,x3304,x3302))
% 15.91/15.74 [331]~E(x3311,x3312)+E(f296(x3311,x3313,x3314),f296(x3312,x3313,x3314))
% 15.91/15.74 [332]~E(x3321,x3322)+E(f296(x3323,x3321,x3324),f296(x3323,x3322,x3324))
% 15.91/15.74 [333]~E(x3331,x3332)+E(f296(x3333,x3334,x3331),f296(x3333,x3334,x3332))
% 15.91/15.74 [334]~E(x3341,x3342)+E(f309(x3341),f309(x3342))
% 15.91/15.74 [335]~E(x3351,x3352)+E(f239(x3351,x3353,x3354,x3355),f239(x3352,x3353,x3354,x3355))
% 15.91/15.74 [336]~E(x3361,x3362)+E(f239(x3363,x3361,x3364,x3365),f239(x3363,x3362,x3364,x3365))
% 15.91/15.74 [337]~E(x3371,x3372)+E(f239(x3373,x3374,x3371,x3375),f239(x3373,x3374,x3372,x3375))
% 15.91/15.74 [338]~E(x3381,x3382)+E(f239(x3383,x3384,x3385,x3381),f239(x3383,x3384,x3385,x3382))
% 15.91/15.74 [339]~E(x3391,x3392)+E(f162(x3391,x3393),f162(x3392,x3393))
% 15.91/15.74 [340]~E(x3401,x3402)+E(f162(x3403,x3401),f162(x3403,x3402))
% 15.91/15.74 [341]~E(x3411,x3412)+E(f183(x3411,x3413),f183(x3412,x3413))
% 15.91/15.74 [342]~E(x3421,x3422)+E(f183(x3423,x3421),f183(x3423,x3422))
% 15.91/15.74 [343]~E(x3431,x3432)+E(f428(x3431,x3433),f428(x3432,x3433))
% 15.91/15.74 [344]~E(x3441,x3442)+E(f428(x3443,x3441),f428(x3443,x3442))
% 15.91/15.74 [345]~E(x3451,x3452)+E(f410(x3451,x3453),f410(x3452,x3453))
% 15.91/15.74 [346]~E(x3461,x3462)+E(f410(x3463,x3461),f410(x3463,x3462))
% 15.91/15.74 [347]~E(x3471,x3472)+E(f521(x3471,x3473),f521(x3472,x3473))
% 15.91/15.74 [348]~E(x3481,x3482)+E(f521(x3483,x3481),f521(x3483,x3482))
% 15.91/15.74 [349]~E(x3491,x3492)+E(f496(x3491,x3493),f496(x3492,x3493))
% 15.91/15.74 [350]~E(x3501,x3502)+E(f496(x3503,x3501),f496(x3503,x3502))
% 15.91/15.74 [351]~E(x3511,x3512)+E(f232(x3511,x3513,x3514),f232(x3512,x3513,x3514))
% 15.91/15.74 [352]~E(x3521,x3522)+E(f232(x3523,x3521,x3524),f232(x3523,x3522,x3524))
% 15.91/15.74 [353]~E(x3531,x3532)+E(f232(x3533,x3534,x3531),f232(x3533,x3534,x3532))
% 15.91/15.74 [354]~E(x3541,x3542)+E(f259(x3541,x3543,x3544),f259(x3542,x3543,x3544))
% 15.91/15.74 [355]~E(x3551,x3552)+E(f259(x3553,x3551,x3554),f259(x3553,x3552,x3554))
% 15.91/15.74 [356]~E(x3561,x3562)+E(f259(x3563,x3564,x3561),f259(x3563,x3564,x3562))
% 15.91/15.74 [357]~E(x3571,x3572)+E(f197(x3571,x3573,x3574),f197(x3572,x3573,x3574))
% 15.91/15.74 [358]~E(x3581,x3582)+E(f197(x3583,x3581,x3584),f197(x3583,x3582,x3584))
% 15.91/15.74 [359]~E(x3591,x3592)+E(f197(x3593,x3594,x3591),f197(x3593,x3594,x3592))
% 15.91/15.74 [360]~E(x3601,x3602)+E(f157(x3601,x3603),f157(x3602,x3603))
% 15.91/15.74 [361]~E(x3611,x3612)+E(f157(x3613,x3611),f157(x3613,x3612))
% 15.91/15.74 [362]~E(x3621,x3622)+E(f208(x3621,x3623,x3624,x3625),f208(x3622,x3623,x3624,x3625))
% 15.91/15.74 [363]~E(x3631,x3632)+E(f208(x3633,x3631,x3634,x3635),f208(x3633,x3632,x3634,x3635))
% 15.91/15.74 [364]~E(x3641,x3642)+E(f208(x3643,x3644,x3641,x3645),f208(x3643,x3644,x3642,x3645))
% 15.91/15.74 [365]~E(x3651,x3652)+E(f208(x3653,x3654,x3655,x3651),f208(x3653,x3654,x3655,x3652))
% 15.91/15.74 [366]~E(x3661,x3662)+E(f209(x3661,x3663,x3664),f209(x3662,x3663,x3664))
% 15.91/15.74 [367]~E(x3671,x3672)+E(f209(x3673,x3671,x3674),f209(x3673,x3672,x3674))
% 15.91/15.74 [368]~E(x3681,x3682)+E(f209(x3683,x3684,x3681),f209(x3683,x3684,x3682))
% 15.91/15.74 [369]~E(x3691,x3692)+E(f256(x3691,x3693,x3694),f256(x3692,x3693,x3694))
% 15.91/15.74 [370]~E(x3701,x3702)+E(f256(x3703,x3701,x3704),f256(x3703,x3702,x3704))
% 15.91/15.74 [371]~E(x3711,x3712)+E(f256(x3713,x3714,x3711),f256(x3713,x3714,x3712))
% 15.91/15.74 [372]~E(x3721,x3722)+E(f442(x3721,x3723),f442(x3722,x3723))
% 15.91/15.74 [373]~E(x3731,x3732)+E(f442(x3733,x3731),f442(x3733,x3732))
% 15.91/15.74 [374]~E(x3741,x3742)+E(f270(x3741,x3743,x3744),f270(x3742,x3743,x3744))
% 15.91/15.74 [375]~E(x3751,x3752)+E(f270(x3753,x3751,x3754),f270(x3753,x3752,x3754))
% 15.91/15.74 [376]~E(x3761,x3762)+E(f270(x3763,x3764,x3761),f270(x3763,x3764,x3762))
% 15.91/15.74 [377]~E(x3771,x3772)+E(f93(x3771),f93(x3772))
% 15.91/15.74 [378]~E(x3781,x3782)+E(f431(x3781,x3783),f431(x3782,x3783))
% 15.91/15.74 [379]~E(x3791,x3792)+E(f431(x3793,x3791),f431(x3793,x3792))
% 15.91/15.74 [380]~E(x3801,x3802)+E(f95(x3801),f95(x3802))
% 15.91/15.74 [381]~E(x3811,x3812)+E(f375(x3811,x3813),f375(x3812,x3813))
% 15.91/15.74 [382]~E(x3821,x3822)+E(f375(x3823,x3821),f375(x3823,x3822))
% 15.91/15.74 [383]~E(x3831,x3832)+E(f400(x3831,x3833),f400(x3832,x3833))
% 15.91/15.74 [384]~E(x3841,x3842)+E(f400(x3843,x3841),f400(x3843,x3842))
% 15.91/15.74 [385]~E(x3851,x3852)+E(f19(x3851),f19(x3852))
% 15.91/15.74 [386]~E(x3861,x3862)+E(f181(x3861,x3863),f181(x3862,x3863))
% 15.91/15.74 [387]~E(x3871,x3872)+E(f181(x3873,x3871),f181(x3873,x3872))
% 15.91/15.74 [388]~E(x3881,x3882)+E(f305(x3881),f305(x3882))
% 15.91/15.74 [389]~E(x3891,x3892)+E(f80(x3891,x3893),f80(x3892,x3893))
% 15.91/15.74 [390]~E(x3901,x3902)+E(f80(x3903,x3901),f80(x3903,x3902))
% 15.91/15.74 [391]~E(x3911,x3912)+E(f104(x3911,x3913,x3914),f104(x3912,x3913,x3914))
% 15.91/15.74 [392]~E(x3921,x3922)+E(f104(x3923,x3921,x3924),f104(x3923,x3922,x3924))
% 15.91/15.74 [393]~E(x3931,x3932)+E(f104(x3933,x3934,x3931),f104(x3933,x3934,x3932))
% 15.91/15.74 [394]~E(x3941,x3942)+E(f246(x3941,x3943,x3944),f246(x3942,x3943,x3944))
% 15.91/15.74 [395]~E(x3951,x3952)+E(f246(x3953,x3951,x3954),f246(x3953,x3952,x3954))
% 15.91/15.74 [396]~E(x3961,x3962)+E(f246(x3963,x3964,x3961),f246(x3963,x3964,x3962))
% 15.91/15.74 [397]~E(x3971,x3972)+E(f480(x3971,x3973),f480(x3972,x3973))
% 15.91/15.74 [398]~E(x3981,x3982)+E(f480(x3983,x3981),f480(x3983,x3982))
% 15.91/15.74 [399]~E(x3991,x3992)+E(f260(x3991,x3993,x3994),f260(x3992,x3993,x3994))
% 15.91/15.74 [400]~E(x4001,x4002)+E(f260(x4003,x4001,x4004),f260(x4003,x4002,x4004))
% 15.91/15.74 [401]~E(x4011,x4012)+E(f260(x4013,x4014,x4011),f260(x4013,x4014,x4012))
% 15.91/15.74 [402]~E(x4021,x4022)+E(f393(x4021,x4023),f393(x4022,x4023))
% 15.91/15.74 [403]~E(x4031,x4032)+E(f393(x4033,x4031),f393(x4033,x4032))
% 15.91/15.74 [404]~E(x4041,x4042)+E(f119(x4041,x4043),f119(x4042,x4043))
% 15.91/15.74 [405]~E(x4051,x4052)+E(f119(x4053,x4051),f119(x4053,x4052))
% 15.91/15.74 [406]~E(x4061,x4062)+E(f248(x4061,x4063,x4064),f248(x4062,x4063,x4064))
% 15.91/15.74 [407]~E(x4071,x4072)+E(f248(x4073,x4071,x4074),f248(x4073,x4072,x4074))
% 15.91/15.74 [408]~E(x4081,x4082)+E(f248(x4083,x4084,x4081),f248(x4083,x4084,x4082))
% 15.91/15.74 [409]~E(x4091,x4092)+E(f423(x4091,x4093),f423(x4092,x4093))
% 15.91/15.74 [410]~E(x4101,x4102)+E(f423(x4103,x4101),f423(x4103,x4102))
% 15.91/15.74 [411]~E(x4111,x4112)+E(f386(x4111,x4113),f386(x4112,x4113))
% 15.91/15.74 [412]~E(x4121,x4122)+E(f386(x4123,x4121),f386(x4123,x4122))
% 15.91/15.74 [413]~E(x4131,x4132)+E(f81(x4131,x4133),f81(x4132,x4133))
% 15.91/15.74 [414]~E(x4141,x4142)+E(f81(x4143,x4141),f81(x4143,x4142))
% 15.91/15.74 [415]~E(x4151,x4152)+E(f492(x4151,x4153),f492(x4152,x4153))
% 15.91/15.74 [416]~E(x4161,x4162)+E(f492(x4163,x4161),f492(x4163,x4162))
% 15.91/15.74 [417]~E(x4171,x4172)+E(f26(x4171,x4173),f26(x4172,x4173))
% 15.91/15.74 [418]~E(x4181,x4182)+E(f26(x4183,x4181),f26(x4183,x4182))
% 15.91/15.74 [419]~E(x4191,x4192)+E(f217(x4191,x4193),f217(x4192,x4193))
% 15.91/15.74 [420]~E(x4201,x4202)+E(f217(x4203,x4201),f217(x4203,x4202))
% 15.91/15.74 [421]~E(x4211,x4212)+E(f479(x4211,x4213),f479(x4212,x4213))
% 15.91/15.74 [422]~E(x4221,x4222)+E(f479(x4223,x4221),f479(x4223,x4222))
% 15.91/15.74 [423]~E(x4231,x4232)+E(f276(x4231,x4233),f276(x4232,x4233))
% 15.91/15.74 [424]~E(x4241,x4242)+E(f276(x4243,x4241),f276(x4243,x4242))
% 15.91/15.74 [425]~E(x4251,x4252)+E(f473(x4251,x4253),f473(x4252,x4253))
% 15.91/15.74 [426]~E(x4261,x4262)+E(f473(x4263,x4261),f473(x4263,x4262))
% 15.91/15.74 [427]~E(x4271,x4272)+E(f502(x4271,x4273),f502(x4272,x4273))
% 15.91/15.74 [428]~E(x4281,x4282)+E(f502(x4283,x4281),f502(x4283,x4282))
% 15.91/15.74 [429]~E(x4291,x4292)+E(f265(x4291,x4293,x4294),f265(x4292,x4293,x4294))
% 15.91/15.74 [430]~E(x4301,x4302)+E(f265(x4303,x4301,x4304),f265(x4303,x4302,x4304))
% 15.91/15.74 [431]~E(x4311,x4312)+E(f265(x4313,x4314,x4311),f265(x4313,x4314,x4312))
% 15.91/15.74 [432]~E(x4321,x4322)+E(f308(x4321),f308(x4322))
% 15.91/15.74 [433]~E(x4331,x4332)+E(f147(x4331,x4333,x4334),f147(x4332,x4333,x4334))
% 15.91/15.74 [434]~E(x4341,x4342)+E(f147(x4343,x4341,x4344),f147(x4343,x4342,x4344))
% 15.91/15.74 [435]~E(x4351,x4352)+E(f147(x4353,x4354,x4351),f147(x4353,x4354,x4352))
% 15.91/15.74 [436]~E(x4361,x4362)+E(f175(x4361,x4363,x4364),f175(x4362,x4363,x4364))
% 15.91/15.74 [437]~E(x4371,x4372)+E(f175(x4373,x4371,x4374),f175(x4373,x4372,x4374))
% 15.91/15.74 [438]~E(x4381,x4382)+E(f175(x4383,x4384,x4381),f175(x4383,x4384,x4382))
% 15.91/15.74 [439]~E(x4391,x4392)+E(f235(x4391,x4393,x4394),f235(x4392,x4393,x4394))
% 15.91/15.74 [440]~E(x4401,x4402)+E(f235(x4403,x4401,x4404),f235(x4403,x4402,x4404))
% 15.91/15.74 [441]~E(x4411,x4412)+E(f235(x4413,x4414,x4411),f235(x4413,x4414,x4412))
% 15.91/15.74 [442]~E(x4421,x4422)+E(f61(x4421),f61(x4422))
% 15.91/15.74 [443]~E(x4431,x4432)+E(f122(x4431,x4433,x4434),f122(x4432,x4433,x4434))
% 15.91/15.74 [444]~E(x4441,x4442)+E(f122(x4443,x4441,x4444),f122(x4443,x4442,x4444))
% 15.91/15.74 [445]~E(x4451,x4452)+E(f122(x4453,x4454,x4451),f122(x4453,x4454,x4452))
% 15.91/15.74 [446]~E(x4461,x4462)+E(f214(x4461,x4463,x4464),f214(x4462,x4463,x4464))
% 15.91/15.74 [447]~E(x4471,x4472)+E(f214(x4473,x4471,x4474),f214(x4473,x4472,x4474))
% 15.91/15.74 [448]~E(x4481,x4482)+E(f214(x4483,x4484,x4481),f214(x4483,x4484,x4482))
% 15.91/15.74 [449]~E(x4491,x4492)+E(f39(x4491,x4493),f39(x4492,x4493))
% 15.91/15.74 [450]~E(x4501,x4502)+E(f39(x4503,x4501),f39(x4503,x4502))
% 15.91/15.74 [451]~E(x4511,x4512)+E(f23(x4511,x4513),f23(x4512,x4513))
% 15.91/15.74 [452]~E(x4521,x4522)+E(f23(x4523,x4521),f23(x4523,x4522))
% 15.91/15.74 [453]~E(x4531,x4532)+E(f126(x4531),f126(x4532))
% 15.91/15.74 [454]~E(x4541,x4542)+E(f153(x4541,x4543,x4544),f153(x4542,x4543,x4544))
% 15.91/15.74 [455]~E(x4551,x4552)+E(f153(x4553,x4551,x4554),f153(x4553,x4552,x4554))
% 15.91/15.74 [456]~E(x4561,x4562)+E(f153(x4563,x4564,x4561),f153(x4563,x4564,x4562))
% 15.91/15.74 [457]~E(x4571,x4572)+E(f429(x4571,x4573),f429(x4572,x4573))
% 15.91/15.74 [458]~E(x4581,x4582)+E(f429(x4583,x4581),f429(x4583,x4582))
% 15.91/15.74 [459]~E(x4591,x4592)+E(f269(x4591,x4593,x4594),f269(x4592,x4593,x4594))
% 15.91/15.74 [460]~E(x4601,x4602)+E(f269(x4603,x4601,x4604),f269(x4603,x4602,x4604))
% 15.91/15.74 [461]~E(x4611,x4612)+E(f269(x4613,x4614,x4611),f269(x4613,x4614,x4612))
% 15.91/15.74 [462]~E(x4621,x4622)+E(f187(x4621,x4623),f187(x4622,x4623))
% 15.91/15.74 [463]~E(x4631,x4632)+E(f187(x4633,x4631),f187(x4633,x4632))
% 15.91/15.74 [464]~E(x4641,x4642)+E(f155(x4641,x4643),f155(x4642,x4643))
% 15.91/15.74 [465]~E(x4651,x4652)+E(f155(x4653,x4651),f155(x4653,x4652))
% 15.91/15.74 [466]~E(x4661,x4662)+E(f300(x4661,x4663),f300(x4662,x4663))
% 15.91/15.74 [467]~E(x4671,x4672)+E(f300(x4673,x4671),f300(x4673,x4672))
% 15.91/15.74 [468]~E(x4681,x4682)+E(f284(x4681,x4683,x4684),f284(x4682,x4683,x4684))
% 15.91/15.74 [469]~E(x4691,x4692)+E(f284(x4693,x4691,x4694),f284(x4693,x4692,x4694))
% 15.91/15.74 [470]~E(x4701,x4702)+E(f284(x4703,x4704,x4701),f284(x4703,x4704,x4702))
% 15.91/15.74 [471]~E(x4711,x4712)+E(f117(x4711,x4713),f117(x4712,x4713))
% 15.91/15.74 [472]~E(x4721,x4722)+E(f117(x4723,x4721),f117(x4723,x4722))
% 15.91/15.74 [473]~E(x4731,x4732)+E(f484(x4731,x4733),f484(x4732,x4733))
% 15.91/15.74 [474]~E(x4741,x4742)+E(f484(x4743,x4741),f484(x4743,x4742))
% 15.91/15.74 [475]~E(x4751,x4752)+E(f215(x4751),f215(x4752))
% 15.91/15.74 [476]~E(x4761,x4762)+E(f499(x4761,x4763),f499(x4762,x4763))
% 15.91/15.74 [477]~E(x4771,x4772)+E(f499(x4773,x4771),f499(x4773,x4772))
% 15.91/15.74 [478]~E(x4781,x4782)+E(f96(x4781),f96(x4782))
% 15.91/15.74 [479]~E(x4791,x4792)+E(f101(x4791,x4793),f101(x4792,x4793))
% 15.91/15.74 [480]~E(x4801,x4802)+E(f101(x4803,x4801),f101(x4803,x4802))
% 15.91/15.74 [481]~E(x4811,x4812)+E(f494(x4811,x4813),f494(x4812,x4813))
% 15.91/15.74 [482]~E(x4821,x4822)+E(f494(x4823,x4821),f494(x4823,x4822))
% 15.91/15.74 [483]~E(x4831,x4832)+E(f206(x4831,x4833,x4834),f206(x4832,x4833,x4834))
% 15.91/15.74 [484]~E(x4841,x4842)+E(f206(x4843,x4841,x4844),f206(x4843,x4842,x4844))
% 15.91/15.74 [485]~E(x4851,x4852)+E(f206(x4853,x4854,x4851),f206(x4853,x4854,x4852))
% 15.91/15.74 [486]~E(x4861,x4862)+E(f564(x4861),f564(x4862))
% 15.91/15.74 [487]~E(x4871,x4872)+E(f169(x4871,x4873),f169(x4872,x4873))
% 15.91/15.74 [488]~E(x4881,x4882)+E(f169(x4883,x4881),f169(x4883,x4882))
% 15.91/15.74 [489]~E(x4891,x4892)+E(f542(x4891,x4893),f542(x4892,x4893))
% 15.91/15.74 [490]~E(x4901,x4902)+E(f542(x4903,x4901),f542(x4903,x4902))
% 15.91/15.74 [491]~E(x4911,x4912)+E(f176(x4911,x4913,x4914),f176(x4912,x4913,x4914))
% 15.91/15.74 [492]~E(x4921,x4922)+E(f176(x4923,x4921,x4924),f176(x4923,x4922,x4924))
% 15.91/15.74 [493]~E(x4931,x4932)+E(f176(x4933,x4934,x4931),f176(x4933,x4934,x4932))
% 15.91/15.74 [494]~E(x4941,x4942)+E(f161(x4941,x4943),f161(x4942,x4943))
% 15.91/15.74 [495]~E(x4951,x4952)+E(f161(x4953,x4951),f161(x4953,x4952))
% 15.91/15.74 [496]~E(x4961,x4962)+E(f195(x4961,x4963),f195(x4962,x4963))
% 15.91/15.74 [497]~E(x4971,x4972)+E(f195(x4973,x4971),f195(x4973,x4972))
% 15.91/15.74 [498]~E(x4981,x4982)+E(f371(x4981,x4983),f371(x4982,x4983))
% 15.91/15.74 [499]~E(x4991,x4992)+E(f371(x4993,x4991),f371(x4993,x4992))
% 15.91/15.74 [500]~E(x5001,x5002)+E(f211(x5001,x5003,x5004),f211(x5002,x5003,x5004))
% 15.91/15.74 [501]~E(x5011,x5012)+E(f211(x5013,x5011,x5014),f211(x5013,x5012,x5014))
% 15.91/15.74 [502]~E(x5021,x5022)+E(f211(x5023,x5024,x5021),f211(x5023,x5024,x5022))
% 15.91/15.74 [503]~E(x5031,x5032)+E(f20(x5031,x5033),f20(x5032,x5033))
% 15.91/15.74 [504]~E(x5041,x5042)+E(f20(x5043,x5041),f20(x5043,x5042))
% 15.91/15.74 [505]~E(x5051,x5052)+E(f311(x5051),f311(x5052))
% 15.91/15.74 [506]~E(x5061,x5062)+E(f21(x5061,x5063),f21(x5062,x5063))
% 15.91/15.74 [507]~E(x5071,x5072)+E(f21(x5073,x5071),f21(x5073,x5072))
% 15.91/15.74 [508]~E(x5081,x5082)+E(f500(x5081,x5083),f500(x5082,x5083))
% 15.91/15.74 [509]~E(x5091,x5092)+E(f500(x5093,x5091),f500(x5093,x5092))
% 15.91/15.74 [510]~E(x5101,x5102)+E(f67(x5101),f67(x5102))
% 15.91/15.74 [511]~E(x5111,x5112)+E(f66(x5111),f66(x5112))
% 15.91/15.74 [512]~E(x5121,x5122)+E(f25(x5121,x5123),f25(x5122,x5123))
% 15.91/15.74 [513]~E(x5131,x5132)+E(f25(x5133,x5131),f25(x5133,x5132))
% 15.91/15.74 [514]~E(x5141,x5142)+E(f474(x5141,x5143),f474(x5142,x5143))
% 15.91/15.74 [515]~E(x5151,x5152)+E(f474(x5153,x5151),f474(x5153,x5152))
% 15.91/15.74 [516]~E(x5161,x5162)+E(f125(x5161,x5163),f125(x5162,x5163))
% 15.91/15.74 [517]~E(x5171,x5172)+E(f125(x5173,x5171),f125(x5173,x5172))
% 15.91/15.74 [518]~E(x5181,x5182)+E(f113(x5181,x5183),f113(x5182,x5183))
% 15.91/15.74 [519]~E(x5191,x5192)+E(f113(x5193,x5191),f113(x5193,x5192))
% 15.91/15.74 [520]~E(x5201,x5202)+E(f31(x5201,x5203),f31(x5202,x5203))
% 15.91/15.74 [521]~E(x5211,x5212)+E(f31(x5213,x5211),f31(x5213,x5212))
% 15.91/15.74 [522]~E(x5221,x5222)+E(f472(x5221,x5223),f472(x5222,x5223))
% 15.91/15.74 [523]~E(x5231,x5232)+E(f472(x5233,x5231),f472(x5233,x5232))
% 15.91/15.74 [524]~E(x5241,x5242)+E(f485(x5241,x5243),f485(x5242,x5243))
% 15.91/15.74 [525]~E(x5251,x5252)+E(f485(x5253,x5251),f485(x5253,x5252))
% 15.91/15.74 [526]~E(x5261,x5262)+E(f129(x5261),f129(x5262))
% 15.91/15.74 [527]~E(x5271,x5272)+E(f167(x5271,x5273),f167(x5272,x5273))
% 15.91/15.74 [528]~E(x5281,x5282)+E(f167(x5283,x5281),f167(x5283,x5282))
% 15.91/15.74 [529]~E(x5291,x5292)+E(f156(x5291,x5293),f156(x5292,x5293))
% 15.91/15.74 [530]~E(x5301,x5302)+E(f156(x5303,x5301),f156(x5303,x5302))
% 15.91/15.74 [531]~E(x5311,x5312)+E(f46(x5311,x5313),f46(x5312,x5313))
% 15.91/15.74 [532]~E(x5321,x5322)+E(f46(x5323,x5321),f46(x5323,x5322))
% 15.91/15.74 [533]~E(x5331,x5332)+E(f190(x5331),f190(x5332))
% 15.91/15.74 [534]~E(x5341,x5342)+E(f178(x5341,x5343,x5344),f178(x5342,x5343,x5344))
% 15.91/15.74 [535]~E(x5351,x5352)+E(f178(x5353,x5351,x5354),f178(x5353,x5352,x5354))
% 15.91/15.74 [536]~E(x5361,x5362)+E(f178(x5363,x5364,x5361),f178(x5363,x5364,x5362))
% 15.91/15.74 [537]~E(x5371,x5372)+E(f481(x5371,x5373),f481(x5372,x5373))
% 15.91/15.74 [538]~E(x5381,x5382)+E(f481(x5383,x5381),f481(x5383,x5382))
% 15.91/15.74 [539]~E(x5391,x5392)+E(f27(x5391,x5393),f27(x5392,x5393))
% 15.91/15.74 [540]~E(x5401,x5402)+E(f27(x5403,x5401),f27(x5403,x5402))
% 15.91/15.74 [541]~E(x5411,x5412)+E(f272(x5411,x5413),f272(x5412,x5413))
% 15.91/15.74 [542]~E(x5421,x5422)+E(f272(x5423,x5421),f272(x5423,x5422))
% 15.91/15.74 [543]~E(x5431,x5432)+E(f108(x5431,x5433,x5434),f108(x5432,x5433,x5434))
% 15.91/15.74 [544]~E(x5441,x5442)+E(f108(x5443,x5441,x5444),f108(x5443,x5442,x5444))
% 15.91/15.74 [545]~E(x5451,x5452)+E(f108(x5453,x5454,x5451),f108(x5453,x5454,x5452))
% 15.91/15.74 [546]~E(x5461,x5462)+E(f490(x5461,x5463),f490(x5462,x5463))
% 15.91/15.74 [547]~E(x5471,x5472)+E(f490(x5473,x5471),f490(x5473,x5472))
% 15.91/15.74 [548]~E(x5481,x5482)+E(f32(x5481,x5483),f32(x5482,x5483))
% 15.91/15.74 [549]~E(x5491,x5492)+E(f32(x5493,x5491),f32(x5493,x5492))
% 15.91/15.74 [550]~E(x5501,x5502)+E(f99(x5501),f99(x5502))
% 15.91/15.74 [551]~E(x5511,x5512)+E(f261(x5511,x5513,x5514),f261(x5512,x5513,x5514))
% 15.91/15.74 [552]~E(x5521,x5522)+E(f261(x5523,x5521,x5524),f261(x5523,x5522,x5524))
% 15.91/15.74 [553]~E(x5531,x5532)+E(f261(x5533,x5534,x5531),f261(x5533,x5534,x5532))
% 15.91/15.74 [554]~E(x5541,x5542)+E(f234(x5541,x5543,x5544),f234(x5542,x5543,x5544))
% 15.91/15.74 [555]~E(x5551,x5552)+E(f234(x5553,x5551,x5554),f234(x5553,x5552,x5554))
% 15.91/15.74 [556]~E(x5561,x5562)+E(f234(x5563,x5564,x5561),f234(x5563,x5564,x5562))
% 15.91/15.74 [557]~E(x5571,x5572)+E(f33(x5571,x5573),f33(x5572,x5573))
% 15.91/15.74 [558]~E(x5581,x5582)+E(f33(x5583,x5581),f33(x5583,x5582))
% 15.91/15.74 [559]~E(x5591,x5592)+E(f82(x5591,x5593),f82(x5592,x5593))
% 15.91/15.74 [560]~E(x5601,x5602)+E(f82(x5603,x5601),f82(x5603,x5602))
% 15.91/15.74 [561]~E(x5611,x5612)+E(f170(x5611),f170(x5612))
% 15.91/15.74 [562]~E(x5621,x5622)+E(f103(x5621,x5623),f103(x5622,x5623))
% 15.91/15.74 [563]~E(x5631,x5632)+E(f103(x5633,x5631),f103(x5633,x5632))
% 15.91/15.74 [564]~E(x5641,x5642)+E(f40(x5641,x5643),f40(x5642,x5643))
% 15.91/15.74 [565]~E(x5651,x5652)+E(f40(x5653,x5651),f40(x5653,x5652))
% 15.91/15.74 [566]~E(x5661,x5662)+E(f544(x5661,x5663),f544(x5662,x5663))
% 15.91/15.74 [567]~E(x5671,x5672)+E(f544(x5673,x5671),f544(x5673,x5672))
% 15.91/15.74 [568]~E(x5681,x5682)+E(f504(x5681,x5683),f504(x5682,x5683))
% 15.91/15.74 [569]~E(x5691,x5692)+E(f504(x5693,x5691),f504(x5693,x5692))
% 15.91/15.74 [570]~E(x5701,x5702)+E(f237(x5701,x5703,x5704),f237(x5702,x5703,x5704))
% 15.91/15.74 [571]~E(x5711,x5712)+E(f237(x5713,x5711,x5714),f237(x5713,x5712,x5714))
% 15.91/15.74 [572]~E(x5721,x5722)+E(f237(x5723,x5724,x5721),f237(x5723,x5724,x5722))
% 15.91/15.74 [573]~E(x5731,x5732)+E(f47(x5731,x5733),f47(x5732,x5733))
% 15.91/15.74 [574]~E(x5741,x5742)+E(f47(x5743,x5741),f47(x5743,x5742))
% 15.91/15.74 [575]~E(x5751,x5752)+E(f35(x5751,x5753),f35(x5752,x5753))
% 15.91/15.74 [576]~E(x5761,x5762)+E(f35(x5763,x5761),f35(x5763,x5762))
% 15.91/15.74 [577]~E(x5771,x5772)+E(f196(x5771,x5773,x5774),f196(x5772,x5773,x5774))
% 15.91/15.74 [578]~E(x5781,x5782)+E(f196(x5783,x5781,x5784),f196(x5783,x5782,x5784))
% 15.91/15.74 [579]~E(x5791,x5792)+E(f196(x5793,x5794,x5791),f196(x5793,x5794,x5792))
% 15.91/15.74 [580]~E(x5801,x5802)+E(f519(x5801,x5803),f519(x5802,x5803))
% 15.91/15.74 [581]~E(x5811,x5812)+E(f519(x5813,x5811),f519(x5813,x5812))
% 15.91/15.74 [582]~E(x5821,x5822)+E(f43(x5821,x5823),f43(x5822,x5823))
% 15.91/15.74 [583]~E(x5831,x5832)+E(f43(x5833,x5831),f43(x5833,x5832))
% 15.91/15.74 [584]~E(x5841,x5842)+E(f306(x5841,x5843,x5844),f306(x5842,x5843,x5844))
% 15.91/15.74 [585]~E(x5851,x5852)+E(f306(x5853,x5851,x5854),f306(x5853,x5852,x5854))
% 15.91/15.74 [586]~E(x5861,x5862)+E(f306(x5863,x5864,x5861),f306(x5863,x5864,x5862))
% 15.91/15.74 [587]~E(x5871,x5872)+E(f48(x5871,x5873),f48(x5872,x5873))
% 15.91/15.74 [588]~E(x5881,x5882)+E(f48(x5883,x5881),f48(x5883,x5882))
% 15.91/15.74 [589]~E(x5891,x5892)+E(f278(x5891,x5893),f278(x5892,x5893))
% 15.91/15.74 [590]~E(x5901,x5902)+E(f278(x5903,x5901),f278(x5903,x5902))
% 15.91/15.74 [591]~E(x5911,x5912)+E(f62(x5911),f62(x5912))
% 15.91/15.74 [592]~E(x5921,x5922)+E(f275(x5921,x5923),f275(x5922,x5923))
% 15.91/15.74 [593]~E(x5931,x5932)+E(f275(x5933,x5931),f275(x5933,x5932))
% 15.91/15.74 [594]~E(x5941,x5942)+E(f236(x5941,x5943,x5944),f236(x5942,x5943,x5944))
% 15.91/15.74 [595]~E(x5951,x5952)+E(f236(x5953,x5951,x5954),f236(x5953,x5952,x5954))
% 15.91/15.74 [596]~E(x5961,x5962)+E(f236(x5963,x5964,x5961),f236(x5963,x5964,x5962))
% 15.91/15.74 [597]~E(x5971,x5972)+E(f205(x5971,x5973,x5974),f205(x5972,x5973,x5974))
% 15.91/15.74 [598]~E(x5981,x5982)+E(f205(x5983,x5981,x5984),f205(x5983,x5982,x5984))
% 15.91/15.74 [599]~E(x5991,x5992)+E(f205(x5993,x5994,x5991),f205(x5993,x5994,x5992))
% 15.91/15.74 [600]~E(x6001,x6002)+E(f28(x6001,x6003),f28(x6002,x6003))
% 15.91/15.74 [601]~E(x6011,x6012)+E(f28(x6013,x6011),f28(x6013,x6012))
% 15.91/15.74 [602]~E(x6021,x6022)+E(f144(x6021,x6023),f144(x6022,x6023))
% 15.91/15.74 [603]~E(x6031,x6032)+E(f144(x6033,x6031),f144(x6033,x6032))
% 15.91/15.74 [604]~E(x6041,x6042)+E(f136(x6041),f136(x6042))
% 15.91/15.74 [605]~E(x6051,x6052)+E(f84(x6051,x6053),f84(x6052,x6053))
% 15.91/15.74 [606]~E(x6061,x6062)+E(f84(x6063,x6061),f84(x6063,x6062))
% 15.91/15.74 [607]~E(x6071,x6072)+E(f34(x6071,x6073),f34(x6072,x6073))
% 15.91/15.74 [608]~E(x6081,x6082)+E(f34(x6083,x6081),f34(x6083,x6082))
% 15.91/15.74 [609]~E(x6091,x6092)+E(f497(x6091,x6093),f497(x6092,x6093))
% 15.91/15.74 [610]~E(x6101,x6102)+E(f497(x6103,x6101),f497(x6103,x6102))
% 15.91/15.74 [611]~E(x6111,x6112)+E(f44(x6111,x6113),f44(x6112,x6113))
% 15.91/15.74 [612]~E(x6121,x6122)+E(f44(x6123,x6121),f44(x6123,x6122))
% 15.91/15.74 [613]~E(x6131,x6132)+E(f38(x6131,x6133),f38(x6132,x6133))
% 15.91/15.74 [614]~E(x6141,x6142)+E(f38(x6143,x6141),f38(x6143,x6142))
% 15.91/15.74 [615]~E(x6151,x6152)+E(f491(x6151,x6153),f491(x6152,x6153))
% 15.91/15.74 [616]~E(x6161,x6162)+E(f491(x6163,x6161),f491(x6163,x6162))
% 15.91/15.74 [617]~E(x6171,x6172)+E(f287(x6171,x6173),f287(x6172,x6173))
% 15.91/15.74 [618]~E(x6181,x6182)+E(f287(x6183,x6181),f287(x6183,x6182))
% 15.91/15.74 [619]~E(x6191,x6192)+E(f257(x6191,x6193,x6194),f257(x6192,x6193,x6194))
% 15.91/15.74 [620]~E(x6201,x6202)+E(f257(x6203,x6201,x6204),f257(x6203,x6202,x6204))
% 15.91/15.74 [621]~E(x6211,x6212)+E(f257(x6213,x6214,x6211),f257(x6213,x6214,x6212))
% 15.91/15.74 [622]~E(x6221,x6222)+E(f174(x6221,x6223,x6224),f174(x6222,x6223,x6224))
% 15.91/15.74 [623]~E(x6231,x6232)+E(f174(x6233,x6231,x6234),f174(x6233,x6232,x6234))
% 15.91/15.74 [624]~E(x6241,x6242)+E(f174(x6243,x6244,x6241),f174(x6243,x6244,x6242))
% 15.91/15.74 [625]~E(x6251,x6252)+E(f226(x6251,x6253),f226(x6252,x6253))
% 15.91/15.74 [626]~E(x6261,x6262)+E(f226(x6263,x6261),f226(x6263,x6262))
% 15.91/15.74 [627]~E(x6271,x6272)+E(f294(x6271,x6273),f294(x6272,x6273))
% 15.91/15.74 [628]~E(x6281,x6282)+E(f294(x6283,x6281),f294(x6283,x6282))
% 15.91/15.74 [629]~E(x6291,x6292)+E(f22(x6291,x6293),f22(x6292,x6293))
% 15.91/15.74 [630]~E(x6301,x6302)+E(f22(x6303,x6301),f22(x6303,x6302))
% 15.91/15.74 [631]~E(x6311,x6312)+E(f51(x6311),f51(x6312))
% 15.91/15.74 [632]~E(x6321,x6322)+E(f457(x6321,x6323),f457(x6322,x6323))
% 15.91/15.74 [633]~E(x6331,x6332)+E(f457(x6333,x6331),f457(x6333,x6332))
% 15.91/15.74 [634]~E(x6341,x6342)+E(f312(x6341),f312(x6342))
% 15.91/15.74 [635]~E(x6351,x6352)+E(f29(x6351,x6353),f29(x6352,x6353))
% 15.91/15.74 [636]~E(x6361,x6362)+E(f29(x6363,x6361),f29(x6363,x6362))
% 15.91/15.74 [637]~E(x6371,x6372)+E(f37(x6371,x6373),f37(x6372,x6373))
% 15.91/15.74 [638]~E(x6381,x6382)+E(f37(x6383,x6381),f37(x6383,x6382))
% 15.91/15.74 [639]~E(x6391,x6392)+E(f221(x6391),f221(x6392))
% 15.91/15.74 [640]~E(x6401,x6402)+E(f184(x6401,x6403,x6404),f184(x6402,x6403,x6404))
% 15.91/15.74 [641]~E(x6411,x6412)+E(f184(x6413,x6411,x6414),f184(x6413,x6412,x6414))
% 15.91/15.74 [642]~E(x6421,x6422)+E(f184(x6423,x6424,x6421),f184(x6423,x6424,x6422))
% 15.91/15.74 [643]~E(x6431,x6432)+E(f30(x6431,x6433),f30(x6432,x6433))
% 15.91/15.74 [644]~E(x6441,x6442)+E(f30(x6443,x6441),f30(x6443,x6442))
% 15.91/15.74 [645]~E(x6451,x6452)+E(f408(x6451,x6453),f408(x6452,x6453))
% 15.91/15.74 [646]~E(x6461,x6462)+E(f408(x6463,x6461),f408(x6463,x6462))
% 15.91/15.74 [647]~E(x6471,x6472)+E(f247(x6471,x6473,x6474),f247(x6472,x6473,x6474))
% 15.91/15.74 [648]~E(x6481,x6482)+E(f247(x6483,x6481,x6484),f247(x6483,x6482,x6484))
% 15.91/15.74 [649]~E(x6491,x6492)+E(f247(x6493,x6494,x6491),f247(x6493,x6494,x6492))
% 15.91/15.74 [650]~E(x6501,x6502)+E(f177(x6501,x6503,x6504),f177(x6502,x6503,x6504))
% 15.91/15.74 [651]~E(x6511,x6512)+E(f177(x6513,x6511,x6514),f177(x6513,x6512,x6514))
% 15.91/15.74 [652]~E(x6521,x6522)+E(f177(x6523,x6524,x6521),f177(x6523,x6524,x6522))
% 15.91/15.74 [653]~E(x6531,x6532)+E(f90(x6531),f90(x6532))
% 15.91/15.74 [654]~E(x6541,x6542)+E(f135(x6541),f135(x6542))
% 15.91/15.74 [655]~E(x6551,x6552)+E(f55(x6551),f55(x6552))
% 15.91/15.74 [656]~E(x6561,x6562)+E(f379(x6561,x6563),f379(x6562,x6563))
% 15.91/15.74 [657]~E(x6571,x6572)+E(f379(x6573,x6571),f379(x6573,x6572))
% 15.91/15.74 [658]~E(x6581,x6582)+E(f242(x6581,x6583,x6584),f242(x6582,x6583,x6584))
% 15.91/15.74 [659]~E(x6591,x6592)+E(f242(x6593,x6591,x6594),f242(x6593,x6592,x6594))
% 15.91/15.74 [660]~E(x6601,x6602)+E(f242(x6603,x6604,x6601),f242(x6603,x6604,x6602))
% 15.91/15.74 [661]~E(x6611,x6612)+E(f446(x6611,x6613),f446(x6612,x6613))
% 15.91/15.74 [662]~E(x6621,x6622)+E(f446(x6623,x6621),f446(x6623,x6622))
% 15.91/15.74 [663]~E(x6631,x6632)+E(f100(x6631,x6633),f100(x6632,x6633))
% 15.91/15.74 [664]~E(x6641,x6642)+E(f100(x6643,x6641),f100(x6643,x6642))
% 15.91/15.74 [665]~E(x6651,x6652)+E(f391(x6651,x6653),f391(x6652,x6653))
% 15.91/15.74 [666]~E(x6661,x6662)+E(f391(x6663,x6661),f391(x6663,x6662))
% 15.91/15.74 [667]~E(x6671,x6672)+E(f182(x6671,x6673),f182(x6672,x6673))
% 15.91/15.74 [668]~E(x6681,x6682)+E(f182(x6683,x6681),f182(x6683,x6682))
% 15.91/15.74 [669]~E(x6691,x6692)+E(f455(x6691,x6693),f455(x6692,x6693))
% 15.91/15.74 [670]~E(x6701,x6702)+E(f455(x6703,x6701),f455(x6703,x6702))
% 15.91/15.74 [671]~E(x6711,x6712)+E(f505(x6711,x6713),f505(x6712,x6713))
% 15.91/15.74 [672]~E(x6721,x6722)+E(f505(x6723,x6721),f505(x6723,x6722))
% 15.91/15.74 [673]~E(x6731,x6732)+E(f130(x6731),f130(x6732))
% 15.91/15.74 [674]~E(x6741,x6742)+E(f142(x6741),f142(x6742))
% 15.91/15.74 [675]~E(x6751,x6752)+E(f476(x6751,x6753),f476(x6752,x6753))
% 15.91/15.74 [676]~E(x6761,x6762)+E(f476(x6763,x6761),f476(x6763,x6762))
% 15.91/15.74 [677]~E(x6771,x6772)+E(f138(x6771),f138(x6772))
% 15.91/15.74 [678]~E(x6781,x6782)+E(f106(x6781,x6783,x6784),f106(x6782,x6783,x6784))
% 15.91/15.74 [679]~E(x6791,x6792)+E(f106(x6793,x6791,x6794),f106(x6793,x6792,x6794))
% 15.91/15.74 [680]~E(x6801,x6802)+E(f106(x6803,x6804,x6801),f106(x6803,x6804,x6802))
% 15.91/15.74 [681]~E(x6811,x6812)+E(f124(x6811,x6813),f124(x6812,x6813))
% 15.91/15.74 [682]~E(x6821,x6822)+E(f124(x6823,x6821),f124(x6823,x6822))
% 15.91/15.74 [683]~E(x6831,x6832)+E(f403(x6831,x6833),f403(x6832,x6833))
% 15.91/15.74 [684]~E(x6841,x6842)+E(f403(x6843,x6841),f403(x6843,x6842))
% 15.91/15.74 [685]~E(x6851,x6852)+E(f252(x6851,x6853,x6854),f252(x6852,x6853,x6854))
% 15.91/15.74 [686]~E(x6861,x6862)+E(f252(x6863,x6861,x6864),f252(x6863,x6862,x6864))
% 15.91/15.74 [687]~E(x6871,x6872)+E(f252(x6873,x6874,x6871),f252(x6873,x6874,x6872))
% 15.91/15.74 [688]~E(x6881,x6882)+E(f520(x6881,x6883),f520(x6882,x6883))
% 15.91/15.74 [689]~E(x6891,x6892)+E(f520(x6893,x6891),f520(x6893,x6892))
% 15.91/15.74 [690]~E(x6901,x6902)+E(f41(x6901,x6903),f41(x6902,x6903))
% 15.91/15.74 [691]~E(x6911,x6912)+E(f41(x6913,x6911),f41(x6913,x6912))
% 15.91/15.74 [692]~E(x6921,x6922)+E(f444(x6921,x6923),f444(x6922,x6923))
% 15.91/15.74 [693]~E(x6931,x6932)+E(f444(x6933,x6931),f444(x6933,x6932))
% 15.91/15.74 [694]~E(x6941,x6942)+E(f447(x6941,x6943),f447(x6942,x6943))
% 15.91/15.74 [695]~E(x6951,x6952)+E(f447(x6953,x6951),f447(x6953,x6952))
% 15.91/15.74 [696]~E(x6961,x6962)+E(f506(x6961,x6963),f506(x6962,x6963))
% 15.91/15.74 [697]~E(x6971,x6972)+E(f506(x6973,x6971),f506(x6973,x6972))
% 15.91/15.74 [698]~E(x6981,x6982)+E(f24(x6981,x6983),f24(x6982,x6983))
% 15.91/15.74 [699]~E(x6991,x6992)+E(f24(x6993,x6991),f24(x6993,x6992))
% 15.91/15.74 [700]~E(x7001,x7002)+E(f463(x7001,x7003),f463(x7002,x7003))
% 15.91/15.74 [701]~E(x7011,x7012)+E(f463(x7013,x7011),f463(x7013,x7012))
% 15.91/15.74 [702]~E(x7021,x7022)+E(f105(x7021,x7023,x7024),f105(x7022,x7023,x7024))
% 15.91/15.74 [703]~E(x7031,x7032)+E(f105(x7033,x7031,x7034),f105(x7033,x7032,x7034))
% 15.91/15.74 [704]~E(x7041,x7042)+E(f105(x7043,x7044,x7041),f105(x7043,x7044,x7042))
% 15.91/15.74 [705]~E(x7051,x7052)+E(f127(x7051),f127(x7052))
% 15.91/15.74 [706]~E(x7061,x7062)+E(f70(x7061),f70(x7062))
% 15.91/15.74 [707]~E(x7071,x7072)+E(f398(x7071,x7073),f398(x7072,x7073))
% 15.91/15.74 [708]~E(x7081,x7082)+E(f398(x7083,x7081),f398(x7083,x7082))
% 15.91/15.74 [709]~E(x7091,x7092)+E(f503(x7091,x7093),f503(x7092,x7093))
% 15.91/15.74 [710]~E(x7101,x7102)+E(f503(x7103,x7101),f503(x7103,x7102))
% 15.91/15.74 [711]~E(x7111,x7112)+E(f193(x7111),f193(x7112))
% 15.91/15.74 [712]~E(x7121,x7122)+E(f307(x7121),f307(x7122))
% 15.91/15.74 [713]~E(x7131,x7132)+E(f399(x7131,x7133),f399(x7132,x7133))
% 15.91/15.74 [714]~E(x7141,x7142)+E(f399(x7143,x7141),f399(x7143,x7142))
% 15.91/15.74 [715]~E(x7151,x7152)+E(f482(x7151,x7153),f482(x7152,x7153))
% 15.91/15.74 [716]~E(x7161,x7162)+E(f482(x7163,x7161),f482(x7163,x7162))
% 15.91/15.74 [717]~E(x7171,x7172)+E(f97(x7171),f97(x7172))
% 15.91/15.74 [718]~E(x7181,x7182)+E(f268(x7181,x7183,x7184),f268(x7182,x7183,x7184))
% 15.91/15.74 [719]~E(x7191,x7192)+E(f268(x7193,x7191,x7194),f268(x7193,x7192,x7194))
% 15.91/15.74 [720]~E(x7201,x7202)+E(f268(x7203,x7204,x7201),f268(x7203,x7204,x7202))
% 15.91/15.74 [721]~E(x7211,x7212)+E(f384(x7211,x7213),f384(x7212,x7213))
% 15.91/15.74 [722]~E(x7221,x7222)+E(f384(x7223,x7221),f384(x7223,x7222))
% 15.91/15.74 [723]~E(x7231,x7232)+E(f303(x7231,x7233),f303(x7232,x7233))
% 15.91/15.74 [724]~E(x7241,x7242)+E(f303(x7243,x7241),f303(x7243,x7242))
% 15.91/15.74 [725]~E(x7251,x7252)+E(f489(x7251,x7253),f489(x7252,x7253))
% 15.91/15.74 [726]~E(x7261,x7262)+E(f489(x7263,x7261),f489(x7263,x7262))
% 15.91/15.74 [727]~E(x7271,x7272)+E(f150(x7271,x7273,x7274),f150(x7272,x7273,x7274))
% 15.91/15.74 [728]~E(x7281,x7282)+E(f150(x7283,x7281,x7284),f150(x7283,x7282,x7284))
% 15.91/15.74 [729]~E(x7291,x7292)+E(f150(x7293,x7294,x7291),f150(x7293,x7294,x7292))
% 15.91/15.74 [730]~E(x7301,x7302)+E(f280(x7301,x7303),f280(x7302,x7303))
% 15.91/15.74 [731]~E(x7311,x7312)+E(f280(x7313,x7311),f280(x7313,x7312))
% 15.91/15.74 [732]~E(x7321,x7322)+E(f219(x7321),f219(x7322))
% 15.91/15.74 [733]~E(x7331,x7332)+E(f210(x7331,x7333,x7334),f210(x7332,x7333,x7334))
% 15.91/15.74 [734]~E(x7341,x7342)+E(f210(x7343,x7341,x7344),f210(x7343,x7342,x7344))
% 15.91/15.74 [735]~E(x7351,x7352)+E(f210(x7353,x7354,x7351),f210(x7353,x7354,x7352))
% 15.91/15.74 [736]~E(x7361,x7362)+E(f128(x7361),f128(x7362))
% 15.91/15.74 [737]~E(x7371,x7372)+E(f433(x7371,x7373),f433(x7372,x7373))
% 15.91/15.74 [738]~E(x7381,x7382)+E(f433(x7383,x7381),f433(x7383,x7382))
% 15.91/15.74 [739]~E(x7391,x7392)+E(f57(x7391),f57(x7392))
% 15.91/15.74 [740]~E(x7401,x7402)+E(f145(x7401,x7403,x7404),f145(x7402,x7403,x7404))
% 15.91/15.74 [741]~E(x7411,x7412)+E(f145(x7413,x7411,x7414),f145(x7413,x7412,x7414))
% 15.91/15.74 [742]~E(x7421,x7422)+E(f145(x7423,x7424,x7421),f145(x7423,x7424,x7422))
% 15.91/15.74 [743]~E(x7431,x7432)+E(f229(x7431,x7433),f229(x7432,x7433))
% 15.91/15.74 [744]~E(x7441,x7442)+E(f229(x7443,x7441),f229(x7443,x7442))
% 15.91/15.74 [745]~E(x7451,x7452)+E(f148(x7451,x7453,x7454),f148(x7452,x7453,x7454))
% 15.91/15.74 [746]~E(x7461,x7462)+E(f148(x7463,x7461,x7464),f148(x7463,x7462,x7464))
% 15.91/15.74 [747]~E(x7471,x7472)+E(f148(x7473,x7474,x7471),f148(x7473,x7474,x7472))
% 15.91/15.74 [748]~E(x7481,x7482)+E(f120(x7481,x7483),f120(x7482,x7483))
% 15.91/15.74 [749]~E(x7491,x7492)+E(f120(x7493,x7491),f120(x7493,x7492))
% 15.91/15.74 [750]~E(x7501,x7502)+E(f487(x7501,x7503),f487(x7502,x7503))
% 15.91/15.74 [751]~E(x7511,x7512)+E(f487(x7513,x7511),f487(x7513,x7512))
% 15.91/15.74 [752]~E(x7521,x7522)+E(f313(x7521),f313(x7522))
% 15.91/15.74 [753]~E(x7531,x7532)+E(f114(x7531,x7533),f114(x7532,x7533))
% 15.91/15.74 [754]~E(x7541,x7542)+E(f114(x7543,x7541),f114(x7543,x7542))
% 15.91/15.74 [755]~E(x7551,x7552)+E(f250(x7551,x7553,x7554),f250(x7552,x7553,x7554))
% 15.91/15.74 [756]~E(x7561,x7562)+E(f250(x7563,x7561,x7564),f250(x7563,x7562,x7564))
% 15.91/15.74 [757]~E(x7571,x7572)+E(f250(x7573,x7574,x7571),f250(x7573,x7574,x7572))
% 15.91/15.74 [758]~E(x7581,x7582)+E(f200(x7581,x7583,x7584),f200(x7582,x7583,x7584))
% 15.91/15.74 [759]~E(x7591,x7592)+E(f200(x7593,x7591,x7594),f200(x7593,x7592,x7594))
% 15.91/15.74 [760]~E(x7601,x7602)+E(f200(x7603,x7604,x7601),f200(x7603,x7604,x7602))
% 15.91/15.74 [761]~E(x7611,x7612)+E(f131(x7611),f131(x7612))
% 15.91/15.74 [762]~E(x7621,x7622)+E(f115(x7621,x7623),f115(x7622,x7623))
% 15.91/15.74 [763]~E(x7631,x7632)+E(f115(x7633,x7631),f115(x7633,x7632))
% 15.91/15.74 [764]~E(x7641,x7642)+E(f56(x7641),f56(x7642))
% 15.91/15.74 [765]~E(x7651,x7652)+E(f288(x7651,x7653),f288(x7652,x7653))
% 15.91/15.74 [766]~E(x7661,x7662)+E(f288(x7663,x7661),f288(x7663,x7662))
% 15.91/15.74 [767]~E(x7671,x7672)+E(f49(x7671),f49(x7672))
% 15.91/15.74 [768]~E(x7681,x7682)+E(f8(x7681),f8(x7682))
% 15.91/15.74 [769]~E(x7691,x7692)+E(f241(x7691,x7693,x7694),f241(x7692,x7693,x7694))
% 15.91/15.74 [770]~E(x7701,x7702)+E(f241(x7703,x7701,x7704),f241(x7703,x7702,x7704))
% 15.91/15.74 [771]~E(x7711,x7712)+E(f241(x7713,x7714,x7711),f241(x7713,x7714,x7712))
% 15.91/15.74 [772]~E(x7721,x7722)+E(f186(x7721,x7723,x7724),f186(x7722,x7723,x7724))
% 15.91/15.74 [773]~E(x7731,x7732)+E(f186(x7733,x7731,x7734),f186(x7733,x7732,x7734))
% 15.91/15.74 [774]~E(x7741,x7742)+E(f186(x7743,x7744,x7741),f186(x7743,x7744,x7742))
% 15.91/15.74 [775]~E(x7751,x7752)+E(f168(x7751,x7753),f168(x7752,x7753))
% 15.91/15.74 [776]~E(x7761,x7762)+E(f168(x7763,x7761),f168(x7763,x7762))
% 15.91/15.74 [777]~E(x7771,x7772)+E(f53(x7771),f53(x7772))
% 15.91/15.74 [778]~E(x7781,x7782)+E(f381(x7781,x7783),f381(x7782,x7783))
% 15.91/15.74 [779]~E(x7791,x7792)+E(f381(x7793,x7791),f381(x7793,x7792))
% 15.91/15.74 [780]~E(x7801,x7802)+E(f199(x7801,x7803,x7804),f199(x7802,x7803,x7804))
% 15.91/15.74 [781]~E(x7811,x7812)+E(f199(x7813,x7811,x7814),f199(x7813,x7812,x7814))
% 15.91/15.74 [782]~E(x7821,x7822)+E(f199(x7823,x7824,x7821),f199(x7823,x7824,x7822))
% 15.91/15.74 [783]~E(x7831,x7832)+E(f102(x7831,x7833),f102(x7832,x7833))
% 15.91/15.74 [784]~E(x7841,x7842)+E(f102(x7843,x7841),f102(x7843,x7842))
% 15.91/15.74 [785]~E(x7851,x7852)+E(f166(x7851,x7853),f166(x7852,x7853))
% 15.91/15.74 [786]~E(x7861,x7862)+E(f166(x7863,x7861),f166(x7863,x7862))
% 15.91/15.74 [787]~E(x7871,x7872)+E(f73(x7871),f73(x7872))
% 15.91/15.74 [788]~E(x7881,x7882)+E(f373(x7881,x7883),f373(x7882,x7883))
% 15.91/15.74 [789]~E(x7891,x7892)+E(f373(x7893,x7891),f373(x7893,x7892))
% 15.91/15.74 [790]~E(x7901,x7902)+E(f149(x7901,x7903,x7904),f149(x7902,x7903,x7904))
% 15.91/15.74 [791]~E(x7911,x7912)+E(f149(x7913,x7911,x7914),f149(x7913,x7912,x7914))
% 15.91/15.74 [792]~E(x7921,x7922)+E(f149(x7923,x7924,x7921),f149(x7923,x7924,x7922))
% 15.91/15.74 [793]~E(x7931,x7932)+E(f233(x7931,x7933,x7934),f233(x7932,x7933,x7934))
% 15.91/15.74 [794]~E(x7941,x7942)+E(f233(x7943,x7941,x7944),f233(x7943,x7942,x7944))
% 15.91/15.74 [795]~E(x7951,x7952)+E(f233(x7953,x7954,x7951),f233(x7953,x7954,x7952))
% 15.91/15.74 [796]~E(x7961,x7962)+E(f218(x7961,x7963,x7964),f218(x7962,x7963,x7964))
% 15.91/15.74 [797]~E(x7971,x7972)+E(f218(x7973,x7971,x7974),f218(x7973,x7972,x7974))
% 15.91/15.74 [798]~E(x7981,x7982)+E(f218(x7983,x7984,x7981),f218(x7983,x7984,x7982))
% 15.91/15.74 [799]~E(x7991,x7992)+E(f50(x7991),f50(x7992))
% 15.91/15.74 [800]~E(x8001,x8002)+E(f477(x8001,x8003),f477(x8002,x8003))
% 15.91/15.74 [801]~E(x8011,x8012)+E(f477(x8013,x8011),f477(x8013,x8012))
% 15.91/15.74 [802]~E(x8021,x8022)+E(f228(x8021,x8023),f228(x8022,x8023))
% 15.91/15.74 [803]~E(x8031,x8032)+E(f228(x8033,x8031),f228(x8033,x8032))
% 15.91/15.74 [804]~E(x8041,x8042)+E(f383(x8041,x8043),f383(x8042,x8043))
% 15.91/15.74 [805]~E(x8051,x8052)+E(f383(x8053,x8051),f383(x8053,x8052))
% 15.91/15.74 [806]~E(x8061,x8062)+E(f227(x8061,x8063),f227(x8062,x8063))
% 15.91/15.74 [807]~E(x8071,x8072)+E(f227(x8073,x8071),f227(x8073,x8072))
% 15.91/15.74 [808]~E(x8081,x8082)+E(f212(x8081,x8083,x8084),f212(x8082,x8083,x8084))
% 15.91/15.74 [809]~E(x8091,x8092)+E(f212(x8093,x8091,x8094),f212(x8093,x8092,x8094))
% 15.91/15.74 [810]~E(x8101,x8102)+E(f212(x8103,x8104,x8101),f212(x8103,x8104,x8102))
% 15.91/15.74 [811]~E(x8111,x8112)+E(f281(x8111,x8113,x8114),f281(x8112,x8113,x8114))
% 15.91/15.74 [812]~E(x8121,x8122)+E(f281(x8123,x8121,x8124),f281(x8123,x8122,x8124))
% 15.91/15.74 [813]~E(x8131,x8132)+E(f281(x8133,x8134,x8131),f281(x8133,x8134,x8132))
% 15.91/15.74 [814]~E(x8141,x8142)+E(f380(x8141,x8143),f380(x8142,x8143))
% 15.91/15.74 [815]~E(x8151,x8152)+E(f380(x8153,x8151),f380(x8153,x8152))
% 15.91/15.74 [816]~E(x8161,x8162)+E(f151(x8161,x8163,x8164),f151(x8162,x8163,x8164))
% 15.91/15.74 [817]~E(x8171,x8172)+E(f151(x8173,x8171,x8174),f151(x8173,x8172,x8174))
% 15.91/15.74 [818]~E(x8181,x8182)+E(f151(x8183,x8184,x8181),f151(x8183,x8184,x8182))
% 15.91/15.74 [819]~E(x8191,x8192)+E(f238(x8191,x8193,x8194),f238(x8192,x8193,x8194))
% 15.91/15.74 [820]~E(x8201,x8202)+E(f238(x8203,x8201,x8204),f238(x8203,x8202,x8204))
% 15.91/15.74 [821]~E(x8211,x8212)+E(f238(x8213,x8214,x8211),f238(x8213,x8214,x8212))
% 15.91/15.74 [822]~E(x8221,x8222)+E(f207(x8221,x8223,x8224),f207(x8222,x8223,x8224))
% 15.91/15.74 [823]~E(x8231,x8232)+E(f207(x8233,x8231,x8234),f207(x8233,x8232,x8234))
% 15.91/15.74 [824]~E(x8241,x8242)+E(f207(x8243,x8244,x8241),f207(x8243,x8244,x8242))
% 15.91/15.74 [825]~E(x8251,x8252)+E(f264(x8251,x8253,x8254),f264(x8252,x8253,x8254))
% 15.91/15.74 [826]~E(x8261,x8262)+E(f264(x8263,x8261,x8264),f264(x8263,x8262,x8264))
% 15.91/15.74 [827]~E(x8271,x8272)+E(f264(x8273,x8274,x8271),f264(x8273,x8274,x8272))
% 15.91/15.74 [828]~E(x8281,x8282)+E(f141(x8281,x8283,x8284),f141(x8282,x8283,x8284))
% 15.91/15.74 [829]~E(x8291,x8292)+E(f141(x8293,x8291,x8294),f141(x8293,x8292,x8294))
% 15.91/15.74 [830]~E(x8301,x8302)+E(f141(x8303,x8304,x8301),f141(x8303,x8304,x8302))
% 15.91/15.74 [831]~E(x8311,x8312)+E(f198(x8311,x8313,x8314),f198(x8312,x8313,x8314))
% 15.91/15.74 [832]~E(x8321,x8322)+E(f198(x8323,x8321,x8324),f198(x8323,x8322,x8324))
% 15.91/15.74 [833]~E(x8331,x8332)+E(f198(x8333,x8334,x8331),f198(x8333,x8334,x8332))
% 15.91/15.74 [834]~E(x8341,x8342)+E(f483(x8341,x8343),f483(x8342,x8343))
% 15.91/15.74 [835]~E(x8351,x8352)+E(f483(x8353,x8351),f483(x8353,x8352))
% 15.91/15.74 [836]~E(x8361,x8362)+E(f304(x8361),f304(x8362))
% 15.91/15.74 [837]~E(x8371,x8372)+E(f301(x8371,x8373),f301(x8372,x8373))
% 15.91/15.74 [838]~E(x8381,x8382)+E(f301(x8383,x8381),f301(x8383,x8382))
% 15.91/15.74 [839]~E(x8391,x8392)+E(f109(x8391,x8393,x8394),f109(x8392,x8393,x8394))
% 15.91/15.74 [840]~E(x8401,x8402)+E(f109(x8403,x8401,x8404),f109(x8403,x8402,x8404))
% 15.91/15.74 [841]~E(x8411,x8412)+E(f109(x8413,x8414,x8411),f109(x8413,x8414,x8412))
% 15.91/15.74 [842]~E(x8421,x8422)+E(f255(x8421,x8423,x8424),f255(x8422,x8423,x8424))
% 15.91/15.74 [843]~E(x8431,x8432)+E(f255(x8433,x8431,x8434),f255(x8433,x8432,x8434))
% 15.91/15.74 [844]~E(x8441,x8442)+E(f255(x8443,x8444,x8441),f255(x8443,x8444,x8442))
% 15.91/15.74 [845]~E(x8451,x8452)+E(f87(x8451),f87(x8452))
% 15.91/15.74 [846]~E(x8461,x8462)+E(f71(x8461),f71(x8462))
% 15.91/15.74 [847]~E(x8471,x8472)+E(f143(x8471),f143(x8472))
% 15.91/15.74 [848]~E(x8481,x8482)+E(f244(x8481,x8483,x8484),f244(x8482,x8483,x8484))
% 15.91/15.74 [849]~E(x8491,x8492)+E(f244(x8493,x8491,x8494),f244(x8493,x8492,x8494))
% 15.91/15.74 [850]~E(x8501,x8502)+E(f244(x8503,x8504,x8501),f244(x8503,x8504,x8502))
% 15.91/15.74 [851]~E(x8511,x8512)+E(f98(x8511),f98(x8512))
% 15.91/15.74 [852]~E(x8521,x8522)+E(f274(x8521,x8523),f274(x8522,x8523))
% 15.91/15.74 [853]~E(x8531,x8532)+E(f274(x8533,x8531),f274(x8533,x8532))
% 15.91/15.74 [854]~E(x8541,x8542)+E(f54(x8541),f54(x8542))
% 15.91/15.74 [855]~E(x8551,x8552)+E(f404(x8551,x8553),f404(x8552,x8553))
% 15.91/15.74 [856]~E(x8561,x8562)+E(f404(x8563,x8561),f404(x8563,x8562))
% 15.91/15.74 [857]~E(x8571,x8572)+E(f584(x8571),f584(x8572))
% 15.91/15.74 [858]~E(x8581,x8582)+E(f283(x8581,x8583,x8584),f283(x8582,x8583,x8584))
% 15.91/15.74 [859]~E(x8591,x8592)+E(f283(x8593,x8591,x8594),f283(x8593,x8592,x8594))
% 15.91/15.74 [860]~E(x8601,x8602)+E(f283(x8603,x8604,x8601),f283(x8603,x8604,x8602))
% 15.91/15.74 [861]~E(x8611,x8612)+E(f262(x8611,x8613,x8614),f262(x8612,x8613,x8614))
% 15.91/15.74 [862]~E(x8621,x8622)+E(f262(x8623,x8621,x8624),f262(x8623,x8622,x8624))
% 15.91/15.74 [863]~E(x8631,x8632)+E(f262(x8633,x8634,x8631),f262(x8633,x8634,x8632))
% 15.91/15.74 [864]~E(x8641,x8642)+E(f60(x8641),f60(x8642))
% 15.91/15.74 [865]~E(x8651,x8652)+E(f421(x8651,x8653),f421(x8652,x8653))
% 15.91/15.74 [866]~E(x8661,x8662)+E(f421(x8663,x8661),f421(x8663,x8662))
% 15.91/15.74 [867]~E(x8671,x8672)+E(f69(x8671),f69(x8672))
% 15.91/15.74 [868]~E(x8681,x8682)+E(f171(x8681,x8683),f171(x8682,x8683))
% 15.91/15.74 [869]~E(x8691,x8692)+E(f171(x8693,x8691),f171(x8693,x8692))
% 15.91/15.74 [870]~E(x8701,x8702)+E(f249(x8701,x8703,x8704),f249(x8702,x8703,x8704))
% 15.91/15.74 [871]~E(x8711,x8712)+E(f249(x8713,x8711,x8714),f249(x8713,x8712,x8714))
% 15.91/15.74 [872]~E(x8721,x8722)+E(f249(x8723,x8724,x8721),f249(x8723,x8724,x8722))
% 15.91/15.74 [873]~E(x8731,x8732)+E(f292(x8731,x8733,x8734),f292(x8732,x8733,x8734))
% 15.91/15.74 [874]~E(x8741,x8742)+E(f292(x8743,x8741,x8744),f292(x8743,x8742,x8744))
% 15.91/15.74 [875]~E(x8751,x8752)+E(f292(x8753,x8754,x8751),f292(x8753,x8754,x8752))
% 15.91/15.74 [876]~E(x8761,x8762)+E(f405(x8761,x8763),f405(x8762,x8763))
% 15.91/15.74 [877]~E(x8771,x8772)+E(f405(x8773,x8771),f405(x8773,x8772))
% 15.91/15.74 [878]~E(x8781,x8782)+E(f382(x8781,x8783),f382(x8782,x8783))
% 15.91/15.74 [879]~E(x8791,x8792)+E(f382(x8793,x8791),f382(x8793,x8792))
% 15.91/15.74 [880]~E(x8801,x8802)+E(f65(x8801),f65(x8802))
% 15.91/15.74 [881]~E(x8811,x8812)+E(f277(x8811,x8813,x8814),f277(x8812,x8813,x8814))
% 15.91/15.74 [882]~E(x8821,x8822)+E(f277(x8823,x8821,x8824),f277(x8823,x8822,x8824))
% 15.91/15.74 [883]~E(x8831,x8832)+E(f277(x8833,x8834,x8831),f277(x8833,x8834,x8832))
% 15.91/15.74 [884]~E(x8841,x8842)+E(f203(x8841,x8843,x8844),f203(x8842,x8843,x8844))
% 15.91/15.74 [885]~E(x8851,x8852)+E(f203(x8853,x8851,x8854),f203(x8853,x8852,x8854))
% 15.91/15.74 [886]~E(x8861,x8862)+E(f203(x8863,x8864,x8861),f203(x8863,x8864,x8862))
% 15.91/15.74 [887]~E(x8871,x8872)+E(f116(x8871,x8873),f116(x8872,x8873))
% 15.91/15.74 [888]~E(x8881,x8882)+E(f116(x8883,x8881),f116(x8883,x8882))
% 15.91/15.74 [889]~E(x8891,x8892)+E(f179(x8891,x8893),f179(x8892,x8893))
% 15.91/15.74 [890]~E(x8901,x8902)+E(f179(x8903,x8901),f179(x8903,x8902))
% 15.91/15.74 [891]~E(x8911,x8912)+E(f64(x8911),f64(x8912))
% 15.91/15.74 [892]~E(x8921,x8922)+E(f152(x8921,x8923,x8924),f152(x8922,x8923,x8924))
% 15.91/15.74 [893]~E(x8931,x8932)+E(f152(x8933,x8931,x8934),f152(x8933,x8932,x8934))
% 15.91/15.74 [894]~E(x8941,x8942)+E(f152(x8943,x8944,x8941),f152(x8943,x8944,x8942))
% 15.91/15.74 [895]~E(x8951,x8952)+E(f52(x8951),f52(x8952))
% 15.91/15.74 [896]~E(x8961,x8962)+E(f271(x8961,x8963),f271(x8962,x8963))
% 15.91/15.74 [897]~E(x8971,x8972)+E(f271(x8973,x8971),f271(x8973,x8972))
% 15.91/15.74 [898]~E(x8981,x8982)+E(f74(x8981),f74(x8982))
% 15.91/15.74 [899]~E(x8991,x8992)+E(f88(x8991),f88(x8992))
% 15.91/15.74 [900]~E(x9001,x9002)+E(f89(x9001),f89(x9002))
% 15.91/15.74 [901]~E(x9011,x9012)+E(f390(x9011,x9013),f390(x9012,x9013))
% 15.91/15.74 [902]~E(x9021,x9022)+E(f390(x9023,x9021),f390(x9023,x9022))
% 15.91/15.74 [903]~E(x9031,x9032)+E(f194(x9031,x9033),f194(x9032,x9033))
% 15.91/15.74 [904]~E(x9041,x9042)+E(f194(x9043,x9041),f194(x9043,x9042))
% 15.91/15.74 [905]~E(x9051,x9052)+E(f133(x9051),f133(x9052))
% 15.91/15.74 [906]~E(x9061,x9062)+E(f266(x9061,x9063,x9064),f266(x9062,x9063,x9064))
% 15.91/15.74 [907]~E(x9071,x9072)+E(f266(x9073,x9071,x9074),f266(x9073,x9072,x9074))
% 15.91/15.74 [908]~E(x9081,x9082)+E(f266(x9083,x9084,x9081),f266(x9083,x9084,x9082))
% 15.91/15.74 [909]~E(x9091,x9092)+E(f267(x9091,x9093,x9094),f267(x9092,x9093,x9094))
% 15.91/15.74 [910]~E(x9101,x9102)+E(f267(x9103,x9101,x9104),f267(x9103,x9102,x9104))
% 15.91/15.74 [911]~E(x9111,x9112)+E(f267(x9113,x9114,x9111),f267(x9113,x9114,x9112))
% 15.91/15.74 [912]~E(x9121,x9122)+E(f63(x9121),f63(x9122))
% 15.91/15.74 [913]~E(x9131,x9132)+E(f315(x9131,x9133,x9134),f315(x9132,x9133,x9134))
% 15.91/15.74 [914]~E(x9141,x9142)+E(f315(x9143,x9141,x9144),f315(x9143,x9142,x9144))
% 15.91/15.74 [915]~E(x9151,x9152)+E(f315(x9153,x9154,x9151),f315(x9153,x9154,x9152))
% 15.91/15.74 [916]~E(x9161,x9162)+E(f204(x9161,x9163,x9164),f204(x9162,x9163,x9164))
% 15.91/15.74 [917]~E(x9171,x9172)+E(f204(x9173,x9171,x9174),f204(x9173,x9172,x9174))
% 15.91/15.74 [918]~E(x9181,x9182)+E(f204(x9183,x9184,x9181),f204(x9183,x9184,x9182))
% 15.91/15.74 [919]~E(x9191,x9192)+E(f188(x9191),f188(x9192))
% 15.91/15.74 [920]~E(x9201,x9202)+E(f159(x9201,x9203),f159(x9202,x9203))
% 15.91/15.74 [921]~E(x9211,x9212)+E(f159(x9213,x9211),f159(x9213,x9212))
% 15.91/15.74 [922]~E(x9221,x9222)+E(f254(x9221,x9223,x9224),f254(x9222,x9223,x9224))
% 15.91/15.74 [923]~E(x9231,x9232)+E(f254(x9233,x9231,x9234),f254(x9233,x9232,x9234))
% 15.91/15.74 [924]~E(x9241,x9242)+E(f254(x9243,x9244,x9241),f254(x9243,x9244,x9242))
% 15.91/15.74 [925]~E(x9251,x9252)+E(f285(x9251,x9253),f285(x9252,x9253))
% 15.91/15.74 [926]~E(x9261,x9262)+E(f285(x9263,x9261),f285(x9263,x9262))
% 15.91/15.74 [927]~E(x9271,x9272)+E(f68(x9271),f68(x9272))
% 15.91/15.74 [928]~E(x9281,x9282)+E(f173(x9281,x9283,x9284),f173(x9282,x9283,x9284))
% 15.91/15.74 [929]~E(x9291,x9292)+E(f173(x9293,x9291,x9294),f173(x9293,x9292,x9294))
% 15.91/15.74 [930]~E(x9301,x9302)+E(f173(x9303,x9304,x9301),f173(x9303,x9304,x9302))
% 15.91/15.74 [931]~E(x9311,x9312)+E(f134(x9311,x9313),f134(x9312,x9313))
% 15.91/15.74 [932]~E(x9321,x9322)+E(f134(x9323,x9321),f134(x9323,x9322))
% 15.91/15.74 [933]~E(x9331,x9332)+E(f72(x9331),f72(x9332))
% 15.91/15.74 [934]~E(x9341,x9342)+E(f140(x9341),f140(x9342))
% 15.91/15.74 [935]~E(x9351,x9352)+E(f191(x9351),f191(x9352))
% 15.91/15.74 [936]~E(x9361,x9362)+E(f222(x9361),f222(x9362))
% 15.91/15.74 [937]~E(x9371,x9372)+E(f298(x9371,x9373,x9374),f298(x9372,x9373,x9374))
% 15.91/15.74 [938]~E(x9381,x9382)+E(f298(x9383,x9381,x9384),f298(x9383,x9382,x9384))
% 15.91/15.74 [939]~E(x9391,x9392)+E(f298(x9393,x9394,x9391),f298(x9393,x9394,x9392))
% 15.91/15.74 [940]~E(x9401,x9402)+E(f416(x9401,x9403),f416(x9402,x9403))
% 15.91/15.74 [941]~E(x9411,x9412)+E(f416(x9413,x9411),f416(x9413,x9412))
% 15.91/15.74 [942]~E(x9421,x9422)+E(f302(x9421),f302(x9422))
% 15.91/15.74 [943]~E(x9431,x9432)+E(f578(x9431),f578(x9432))
% 15.91/15.74 [944]~E(x9441,x9442)+E(f58(x9441),f58(x9442))
% 15.91/15.74 [945]~E(x9451,x9452)+E(f59(x9451),f59(x9452))
% 15.91/15.74 [946]~E(x9461,x9462)+E(f146(x9461,x9463,x9464),f146(x9462,x9463,x9464))
% 15.91/15.74 [947]~E(x9471,x9472)+E(f146(x9473,x9471,x9474),f146(x9473,x9472,x9474))
% 15.91/15.74 [948]~E(x9481,x9482)+E(f146(x9483,x9484,x9481),f146(x9483,x9484,x9482))
% 15.91/15.74 [949]~E(x9491,x9492)+E(f118(x9491,x9493),f118(x9492,x9493))
% 15.91/15.74 [950]~E(x9501,x9502)+E(f118(x9503,x9501),f118(x9503,x9502))
% 15.91/15.74 [951]~E(x9511,x9512)+E(f310(x9511),f310(x9512))
% 15.91/15.74 [952]~E(x9521,x9522)+E(f293(x9521,x9523),f293(x9522,x9523))
% 15.91/15.74 [953]~E(x9531,x9532)+E(f293(x9533,x9531),f293(x9533,x9532))
% 15.91/15.74 [954]~E(x9541,x9542)+E(f201(x9541,x9543,x9544),f201(x9542,x9543,x9544))
% 15.91/15.74 [955]~E(x9551,x9552)+E(f201(x9553,x9551,x9554),f201(x9553,x9552,x9554))
% 15.91/15.74 [956]~E(x9561,x9562)+E(f201(x9563,x9564,x9561),f201(x9563,x9564,x9562))
% 15.91/15.74 [957]~E(x9571,x9572)+E(f224(x9571),f224(x9572))
% 15.91/15.74 [958]~E(x9581,x9582)+E(f314(x9581),f314(x9582))
% 15.91/15.74 [959]~E(x9591,x9592)+E(f279(x9591,x9593),f279(x9592,x9593))
% 15.91/15.74 [960]~E(x9601,x9602)+E(f279(x9603,x9601),f279(x9603,x9602))
% 15.91/15.74 [961]~E(x9611,x9612)+E(f223(x9611),f223(x9612))
% 15.91/15.74 [962]~E(x9621,x9622)+E(f225(x9621),f225(x9622))
% 15.91/15.74 [963]~E(x9631,x9632)+E(f121(x9631,x9633),f121(x9632,x9633))
% 15.91/15.74 [964]~E(x9641,x9642)+E(f121(x9643,x9641),f121(x9643,x9642))
% 15.91/15.74 [965]~E(x9651,x9652)+E(f165(x9651,x9653,x9654),f165(x9652,x9653,x9654))
% 15.91/15.74 [966]~E(x9661,x9662)+E(f165(x9663,x9661,x9664),f165(x9663,x9662,x9664))
% 15.91/15.74 [967]~E(x9671,x9672)+E(f165(x9673,x9674,x9671),f165(x9673,x9674,x9672))
% 15.91/15.74 [968]~E(x9681,x9682)+E(f111(x9681,x9683,x9684),f111(x9682,x9683,x9684))
% 15.91/15.74 [969]~E(x9691,x9692)+E(f111(x9693,x9691,x9694),f111(x9693,x9692,x9694))
% 15.91/15.74 [970]~E(x9701,x9702)+E(f111(x9703,x9704,x9701),f111(x9703,x9704,x9702))
% 15.91/15.74 [971]~E(x9711,x9712)+E(f216(x9711),f216(x9712))
% 15.91/15.74 [972]~E(x9721,x9722)+E(f585(x9721),f585(x9722))
% 15.91/15.74 [973]~E(x9731,x9732)+E(f172(x9731,x9733),f172(x9732,x9733))
% 15.91/15.74 [974]~E(x9741,x9742)+E(f172(x9743,x9741),f172(x9743,x9742))
% 15.91/15.74 [975]~E(x9751,x9752)+E(f91(x9751),f91(x9752))
% 15.91/15.74 [976]~P1(x9761)+P1(x9762)+~E(x9761,x9762)
% 15.91/15.74 [977]~P5(x9771)+P5(x9772)+~E(x9771,x9772)
% 15.91/15.74 [978]~P7(x9781)+P7(x9782)+~E(x9781,x9782)
% 15.91/15.74 [979]~P4(x9791)+P4(x9792)+~E(x9791,x9792)
% 15.91/15.74 [980]~P2(x9801)+P2(x9802)+~E(x9801,x9802)
% 15.91/15.74 [981]~P3(x9811)+P3(x9812)+~E(x9811,x9812)
% 15.91/15.74 [982]~P8(x9821)+P8(x9822)+~E(x9821,x9822)
% 15.91/15.74 [983]~P6(x9831)+P6(x9832)+~E(x9831,x9832)
% 15.91/15.74
% 15.91/15.74 %-------------------------------------------
% 15.91/15.77 cnf(3073,plain,
% 15.91/15.77 (~P5(f458(f460(a549,f362(f464(a567,x30731),x30732)),x30732))),
% 15.91/15.77 inference(rename_variables,[],[1357])).
% 15.91/15.77 cnf(3089,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x30891),x30891))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3095,plain,
% 15.91/15.77 (P5(f458(f460(a549,x30951),f362(a571,x30951)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3098,plain,
% 15.91/15.77 (P5(f449(f443(a551,x30981),x30981))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3103,plain,
% 15.91/15.77 (P5(f458(f460(a549,x31031),f362(a571,x31031)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3122,plain,
% 15.91/15.77 (P5(f458(f460(a549,x31221),f362(a571,x31221)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3125,plain,
% 15.91/15.77 (P5(f458(f460(a549,x31251),f362(a571,x31251)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3128,plain,
% 15.91/15.77 (~P5(f458(f460(a549,f362(f464(a567,x31281),x31282)),x31282))),
% 15.91/15.77 inference(rename_variables,[],[1357])).
% 15.91/15.77 cnf(3151,plain,
% 15.91/15.77 (P5(f449(f443(a551,x31511),x31511))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3158,plain,
% 15.91/15.77 (P5(f420(f376(a554,x31581),f425(f461(a516,x31582),x31581)))),
% 15.91/15.77 inference(rename_variables,[],[1254])).
% 15.91/15.77 cnf(3161,plain,
% 15.91/15.77 (P5(f420(f376(a554,x31611),f425(f461(a516,x31612),x31611)))),
% 15.91/15.77 inference(rename_variables,[],[1254])).
% 15.91/15.77 cnf(3164,plain,
% 15.91/15.77 (P5(f394(f413(a553,x31641),f402(f441(a517,x31642),x31641)))),
% 15.91/15.77 inference(rename_variables,[],[1252])).
% 15.91/15.77 cnf(3167,plain,
% 15.91/15.77 (P5(f394(f413(a553,x31671),f402(f441(a517,x31672),x31671)))),
% 15.91/15.77 inference(rename_variables,[],[1252])).
% 15.91/15.77 cnf(3170,plain,
% 15.91/15.77 (P5(f364(f392(a552,x31701),f401(f369(a518,x31702),x31701)))),
% 15.91/15.77 inference(rename_variables,[],[1250])).
% 15.91/15.77 cnf(3173,plain,
% 15.91/15.77 (P5(f364(f392(a552,x31731),f401(f369(a518,x31732),x31731)))),
% 15.91/15.77 inference(rename_variables,[],[1250])).
% 15.91/15.77 cnf(3176,plain,
% 15.91/15.77 (P5(f458(f460(a549,x31761),f362(a571,f362(f464(a567,x31762),x31761))))),
% 15.91/15.77 inference(rename_variables,[],[1294])).
% 15.91/15.77 cnf(3179,plain,
% 15.91/15.77 (P5(f458(f460(a550,x31791),f362(f464(a572,x31791),x31791)))),
% 15.91/15.77 inference(rename_variables,[],[1248])).
% 15.91/15.77 cnf(3182,plain,
% 15.91/15.77 (P5(f458(f460(a550,x31821),f362(f464(a572,x31821),x31821)))),
% 15.91/15.77 inference(rename_variables,[],[1248])).
% 15.91/15.77 cnf(3185,plain,
% 15.91/15.77 (P5(f449(f443(a551,x31851),x31851))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3188,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x31881),x31881))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3196,plain,
% 15.91/15.77 (P5(f449(f443(a551,x31961),x31961))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3203,plain,
% 15.91/15.77 (P5(f458(f460(a549,x32031),f362(a571,x32031)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3210,plain,
% 15.91/15.77 (~P5(f458(f460(a549,f362(f464(a567,x32101),x32102)),x32102))),
% 15.91/15.77 inference(rename_variables,[],[1357])).
% 15.91/15.77 cnf(3213,plain,
% 15.91/15.77 (~P5(f458(f460(a549,f362(f464(a567,x32131),x32132)),x32132))),
% 15.91/15.77 inference(rename_variables,[],[1357])).
% 15.91/15.77 cnf(3216,plain,
% 15.91/15.77 (~P5(f458(f460(a550,f362(a571,x32161)),x32161))),
% 15.91/15.77 inference(rename_variables,[],[1353])).
% 15.91/15.77 cnf(3219,plain,
% 15.91/15.77 (~P5(f458(f460(a550,f362(a571,x32191)),x32191))),
% 15.91/15.77 inference(rename_variables,[],[1353])).
% 15.91/15.77 cnf(3226,plain,
% 15.91/15.77 (P5(f458(f460(a549,x32261),f362(a571,x32261)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3235,plain,
% 15.91/15.77 (~P5(f458(f460(a549,f362(f464(a567,x32351),x32352)),x32352))),
% 15.91/15.77 inference(rename_variables,[],[1357])).
% 15.91/15.77 cnf(3241,plain,
% 15.91/15.77 (~P5(f458(f460(a550,f362(a571,x32411)),x32411))),
% 15.91/15.77 inference(rename_variables,[],[1353])).
% 15.91/15.77 cnf(3244,plain,
% 15.91/15.77 (~P5(f458(f460(a549,f362(f464(a567,x32441),x32442)),x32441))),
% 15.91/15.77 inference(rename_variables,[],[1358])).
% 15.91/15.77 cnf(3283,plain,
% 15.91/15.77 (P5(f458(f460(a549,x32831),f362(a571,x32831)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3296,plain,
% 15.91/15.77 (~P5(f365(f471(a526,x32961),a5))),
% 15.91/15.77 inference(rename_variables,[],[1344])).
% 15.91/15.77 cnf(3315,plain,
% 15.91/15.77 (P5(f458(f460(a549,x33151),f362(a571,x33151)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3318,plain,
% 15.91/15.77 (P5(f458(f460(a550,x33181),x33181))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3321,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x33211),x33211))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3340,plain,
% 15.91/15.77 (~P5(f420(f462(a527,x33401),a10))),
% 15.91/15.77 inference(rename_variables,[],[1348])).
% 15.91/15.77 cnf(3343,plain,
% 15.91/15.77 (P5(f394(f413(a553,x33431),x33431))),
% 15.91/15.77 inference(rename_variables,[],[1128])).
% 15.91/15.77 cnf(3349,plain,
% 15.91/15.77 (E(f362(a16,x33491),x33491)),
% 15.91/15.77 inference(rename_variables,[],[1014])).
% 15.91/15.77 cnf(3351,plain,
% 15.91/15.77 (~E(f362(a571,x33511),x33511)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3353,plain,
% 15.91/15.77 (~E(f362(a571,x33531),x33531)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3356,plain,
% 15.91/15.77 (E(f362(a16,x33561),x33561)),
% 15.91/15.77 inference(rename_variables,[],[1014])).
% 15.91/15.77 cnf(3359,plain,
% 15.91/15.77 (E(f362(a16,x33591),x33591)),
% 15.91/15.77 inference(rename_variables,[],[1014])).
% 15.91/15.77 cnf(3364,plain,
% 15.91/15.77 (P5(f420(f376(a554,x33641),x33641))),
% 15.91/15.77 inference(rename_variables,[],[1130])).
% 15.91/15.77 cnf(3367,plain,
% 15.91/15.77 (P5(f394(f413(a553,x33671),x33671))),
% 15.91/15.77 inference(rename_variables,[],[1128])).
% 15.91/15.77 cnf(3370,plain,
% 15.91/15.77 (P5(f394(f413(a553,x33701),x33701))),
% 15.91/15.77 inference(rename_variables,[],[1128])).
% 15.91/15.77 cnf(3373,plain,
% 15.91/15.77 (P5(f364(f392(a552,x33731),x33731))),
% 15.91/15.77 inference(rename_variables,[],[1126])).
% 15.91/15.77 cnf(3376,plain,
% 15.91/15.77 (P5(f364(f392(a552,x33761),x33761))),
% 15.91/15.77 inference(rename_variables,[],[1126])).
% 15.91/15.77 cnf(3381,plain,
% 15.91/15.77 (P5(f364(f392(a552,x33811),x33811))),
% 15.91/15.77 inference(rename_variables,[],[1126])).
% 15.91/15.77 cnf(3384,plain,
% 15.91/15.77 (P5(f420(f376(a554,f425(f397(a539,x33841),x33842)),x33841))),
% 15.91/15.77 inference(rename_variables,[],[1293])).
% 15.91/15.77 cnf(3387,plain,
% 15.91/15.77 (P5(f394(f413(a553,f402(f368(a536,x33871),x33872)),x33871))),
% 15.91/15.77 inference(rename_variables,[],[1292])).
% 15.91/15.77 cnf(3393,plain,
% 15.91/15.77 (E(f362(a16,x33931),x33931)),
% 15.91/15.77 inference(rename_variables,[],[1014])).
% 15.91/15.77 cnf(3396,plain,
% 15.91/15.77 (E(f362(a16,x33961),x33961)),
% 15.91/15.77 inference(rename_variables,[],[1014])).
% 15.91/15.77 cnf(3399,plain,
% 15.91/15.77 (E(f454(f453(a541,x33991),a12),x33991)),
% 15.91/15.77 inference(rename_variables,[],[1078])).
% 15.91/15.77 cnf(3405,plain,
% 15.91/15.77 (P5(f449(f443(a551,x34051),x34051))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3408,plain,
% 15.91/15.77 (P5(f458(f460(a550,x34081),x34081))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3417,plain,
% 15.91/15.77 (~P5(f365(f471(a526,x34171),a5))),
% 15.91/15.77 inference(rename_variables,[],[1344])).
% 15.91/15.77 cnf(3437,plain,
% 15.91/15.77 (P5(f458(f460(a550,x34371),x34371))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3438,plain,
% 15.91/15.77 (E(f362(a16,x34381),x34381)),
% 15.91/15.77 inference(rename_variables,[],[1014])).
% 15.91/15.77 cnf(3467,plain,
% 15.91/15.77 (P5(f458(f460(a550,a2),x34671))),
% 15.91/15.77 inference(rename_variables,[],[1107])).
% 15.91/15.77 cnf(3470,plain,
% 15.91/15.77 (~P5(f449(f443(a563,f363(a570,x34701)),a11))),
% 15.91/15.77 inference(rename_variables,[],[1352])).
% 15.91/15.77 cnf(3473,plain,
% 15.91/15.77 (E(f362(f464(a540,f362(f464(a567,x34731),x34732)),x34732),x34731)),
% 15.91/15.77 inference(rename_variables,[],[1228])).
% 15.91/15.77 cnf(3477,plain,
% 15.91/15.77 (~P5(f365(f471(a526,x34771),a5))),
% 15.91/15.77 inference(rename_variables,[],[1344])).
% 15.91/15.77 cnf(3484,plain,
% 15.91/15.77 (P5(f394(f413(a553,a3),x34841))),
% 15.91/15.77 inference(rename_variables,[],[1113])).
% 15.91/15.77 cnf(3487,plain,
% 15.91/15.77 (P5(f420(f376(a554,a10),x34871))),
% 15.91/15.77 inference(rename_variables,[],[1115])).
% 15.91/15.77 cnf(3490,plain,
% 15.91/15.77 (P5(f394(f413(a553,a3),x34901))),
% 15.91/15.77 inference(rename_variables,[],[1113])).
% 15.91/15.77 cnf(3493,plain,
% 15.91/15.77 (P5(f420(f376(a554,a10),x34931))),
% 15.91/15.77 inference(rename_variables,[],[1115])).
% 15.91/15.77 cnf(3496,plain,
% 15.91/15.77 (P5(f394(f413(a553,a3),x34961))),
% 15.91/15.77 inference(rename_variables,[],[1113])).
% 15.91/15.77 cnf(3499,plain,
% 15.91/15.77 (P5(f420(f376(a554,a10),x34991))),
% 15.91/15.77 inference(rename_variables,[],[1115])).
% 15.91/15.77 cnf(3502,plain,
% 15.91/15.77 (P5(f394(f413(a553,x35021),x35021))),
% 15.91/15.77 inference(rename_variables,[],[1128])).
% 15.91/15.77 cnf(3505,plain,
% 15.91/15.77 (P5(f420(f376(a554,x35051),x35051))),
% 15.91/15.77 inference(rename_variables,[],[1130])).
% 15.91/15.77 cnf(3522,plain,
% 15.91/15.77 (P5(f458(f460(a549,a1),f362(a571,x35221)))),
% 15.91/15.77 inference(rename_variables,[],[1208])).
% 15.91/15.77 cnf(3523,plain,
% 15.91/15.77 (~E(f362(a571,x35231),x35231)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3528,plain,
% 15.91/15.77 (P5(f394(f413(a553,a3),x35281))),
% 15.91/15.77 inference(rename_variables,[],[1113])).
% 15.91/15.77 cnf(3531,plain,
% 15.91/15.77 (P5(f420(f376(a554,a10),x35311))),
% 15.91/15.77 inference(rename_variables,[],[1115])).
% 15.91/15.77 cnf(3534,plain,
% 15.91/15.77 (P5(f394(f413(a553,x35341),x35341))),
% 15.91/15.77 inference(rename_variables,[],[1128])).
% 15.91/15.77 cnf(3537,plain,
% 15.91/15.77 (P5(f394(f413(a553,a3),x35371))),
% 15.91/15.77 inference(rename_variables,[],[1113])).
% 15.91/15.77 cnf(3540,plain,
% 15.91/15.77 (P5(f394(f413(a553,a3),x35401))),
% 15.91/15.77 inference(rename_variables,[],[1113])).
% 15.91/15.77 cnf(3543,plain,
% 15.91/15.77 (P5(f394(f413(a553,a3),x35431))),
% 15.91/15.77 inference(rename_variables,[],[1113])).
% 15.91/15.77 cnf(3546,plain,
% 15.91/15.77 (P5(f394(f413(a553,a3),x35461))),
% 15.91/15.77 inference(rename_variables,[],[1113])).
% 15.91/15.77 cnf(3549,plain,
% 15.91/15.77 (P5(f394(f413(a553,x35491),x35491))),
% 15.91/15.77 inference(rename_variables,[],[1128])).
% 15.91/15.77 cnf(3552,plain,
% 15.91/15.77 (P5(f420(f376(a554,a10),x35521))),
% 15.91/15.77 inference(rename_variables,[],[1115])).
% 15.91/15.77 cnf(3555,plain,
% 15.91/15.77 (P5(f420(f376(a554,a10),x35551))),
% 15.91/15.77 inference(rename_variables,[],[1115])).
% 15.91/15.77 cnf(3558,plain,
% 15.91/15.77 (P5(f420(f376(a554,a10),x35581))),
% 15.91/15.77 inference(rename_variables,[],[1115])).
% 15.91/15.77 cnf(3561,plain,
% 15.91/15.77 (P5(f420(f376(a554,a10),x35611))),
% 15.91/15.77 inference(rename_variables,[],[1115])).
% 15.91/15.77 cnf(3564,plain,
% 15.91/15.77 (P5(f420(f376(a554,x35641),x35641))),
% 15.91/15.77 inference(rename_variables,[],[1130])).
% 15.91/15.77 cnf(3567,plain,
% 15.91/15.77 (~P5(f458(f460(a550,f362(a571,x35671)),x35671))),
% 15.91/15.77 inference(rename_variables,[],[1353])).
% 15.91/15.77 cnf(3570,plain,
% 15.91/15.77 (P5(f394(f413(a553,x35701),x35701))),
% 15.91/15.77 inference(rename_variables,[],[1128])).
% 15.91/15.77 cnf(3573,plain,
% 15.91/15.77 (P5(f420(f376(a554,x35731),x35731))),
% 15.91/15.77 inference(rename_variables,[],[1130])).
% 15.91/15.77 cnf(3580,plain,
% 15.91/15.77 (P5(f458(f460(a550,x35801),x35801))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3586,plain,
% 15.91/15.77 (~E(f362(a571,x35861),x35861)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3595,plain,
% 15.91/15.77 (P5(f364(f392(a552,x35951),x35951))),
% 15.91/15.77 inference(rename_variables,[],[1126])).
% 15.91/15.77 cnf(3601,plain,
% 15.91/15.77 (P5(f449(f443(a551,x36011),x36011))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3604,plain,
% 15.91/15.77 (P5(f458(f460(a550,x36041),x36041))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3605,plain,
% 15.91/15.77 (P5(f458(f460(a550,a2),x36051))),
% 15.91/15.77 inference(rename_variables,[],[1107])).
% 15.91/15.77 cnf(3612,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x36121),x36121))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3615,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x36151),x36151))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3618,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x36181),x36181))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3621,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x36211),x36211))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3627,plain,
% 15.91/15.77 (E(f362(a16,x36271),x36271)),
% 15.91/15.77 inference(rename_variables,[],[1014])).
% 15.91/15.77 cnf(3632,plain,
% 15.91/15.77 (~E(f362(a571,x36321),x36321)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3635,plain,
% 15.91/15.77 (P5(f458(f460(a550,x36351),x36351))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3638,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x36381),x36381))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3645,plain,
% 15.91/15.77 (P5(f458(f460(a550,x36451),x36451))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3648,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x36481),x36481))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3657,plain,
% 15.91/15.77 (P5(f364(f392(a552,x36571),x36571))),
% 15.91/15.77 inference(rename_variables,[],[1126])).
% 15.91/15.77 cnf(3664,plain,
% 15.91/15.77 (P5(f364(f392(a552,a4),x36641))),
% 15.91/15.77 inference(rename_variables,[],[1111])).
% 15.91/15.77 cnf(3667,plain,
% 15.91/15.77 (P5(f364(f392(a552,a4),x36671))),
% 15.91/15.77 inference(rename_variables,[],[1111])).
% 15.91/15.77 cnf(3672,plain,
% 15.91/15.77 (P5(f364(f392(a552,a4),x36721))),
% 15.91/15.77 inference(rename_variables,[],[1111])).
% 15.91/15.77 cnf(3675,plain,
% 15.91/15.77 (P5(f458(f460(a550,a2),x36751))),
% 15.91/15.77 inference(rename_variables,[],[1107])).
% 15.91/15.77 cnf(3676,plain,
% 15.91/15.77 (P5(f458(f460(a550,x36761),x36761))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3680,plain,
% 15.91/15.77 (P5(f364(f392(a552,a4),x36801))),
% 15.91/15.77 inference(rename_variables,[],[1111])).
% 15.91/15.77 cnf(3683,plain,
% 15.91/15.77 (P5(f364(f392(a552,a4),x36831))),
% 15.91/15.77 inference(rename_variables,[],[1111])).
% 15.91/15.77 cnf(3688,plain,
% 15.91/15.77 (P5(f364(f392(a552,a4),x36881))),
% 15.91/15.77 inference(rename_variables,[],[1111])).
% 15.91/15.77 cnf(3691,plain,
% 15.91/15.77 (P5(f364(f392(a552,a4),x36911))),
% 15.91/15.77 inference(rename_variables,[],[1111])).
% 15.91/15.77 cnf(3694,plain,
% 15.91/15.77 (P5(f364(f392(a552,x36941),x36941))),
% 15.91/15.77 inference(rename_variables,[],[1126])).
% 15.91/15.77 cnf(3708,plain,
% 15.91/15.77 (P5(f458(f460(a550,x37081),x37081))),
% 15.91/15.77 inference(rename_variables,[],[1124])).
% 15.91/15.77 cnf(3712,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x37121),x37121))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(3713,plain,
% 15.91/15.77 (P5(f458(f460(a549,x37131),f362(a571,x37131)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(3717,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x37171),a1))),
% 15.91/15.77 inference(rename_variables,[],[1340])).
% 15.91/15.77 cnf(3718,plain,
% 15.91/15.77 (P5(f449(f443(a551,x37181),x37181))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3722,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x37221),a1))),
% 15.91/15.77 inference(rename_variables,[],[1340])).
% 15.91/15.77 cnf(3723,plain,
% 15.91/15.77 (P5(f449(f443(a551,x37231),x37231))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3727,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x37271),a1))),
% 15.91/15.77 inference(rename_variables,[],[1340])).
% 15.91/15.77 cnf(3728,plain,
% 15.91/15.77 (P5(f449(f443(a551,x37281),x37281))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3732,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x37321),a1))),
% 15.91/15.77 inference(rename_variables,[],[1340])).
% 15.91/15.77 cnf(3733,plain,
% 15.91/15.77 (P5(f449(f443(a551,x37331),x37331))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(3736,plain,
% 15.91/15.77 (~E(f362(a571,x37361),x37361)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3763,plain,
% 15.91/15.77 (~E(f362(a571,x37631),x37631)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3766,plain,
% 15.91/15.77 (~E(f362(a571,x37661),x37661)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3783,plain,
% 15.91/15.77 (~E(f362(a571,x37831),x37831)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3786,plain,
% 15.91/15.77 (~E(f362(a571,x37861),x37861)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3791,plain,
% 15.91/15.77 (~E(f362(a571,x37911),x37911)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3794,plain,
% 15.91/15.77 (~E(f362(a571,x37941),x37941)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3797,plain,
% 15.91/15.77 (~E(f362(a571,x37971),x37971)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3902,plain,
% 15.91/15.77 (~E(f362(a571,x39021),x39021)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3905,plain,
% 15.91/15.77 (~E(f362(a571,x39051),x39051)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3908,plain,
% 15.91/15.77 (~E(f362(a571,x39081),x39081)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3911,plain,
% 15.91/15.77 (~E(f362(a571,x39111),x39111)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(3930,plain,
% 15.91/15.77 (~E(f362(a571,x39301),x39301)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(4909,plain,
% 15.91/15.77 (P5(f420(f462(a527,x49091),f425(f461(a516,x49091),x49092)))),
% 15.91/15.77 inference(rename_variables,[],[1255])).
% 15.91/15.77 cnf(4912,plain,
% 15.91/15.77 (~P5(f458(f460(a550,f362(a571,x49121)),x49121))),
% 15.91/15.77 inference(rename_variables,[],[1353])).
% 15.91/15.77 cnf(4915,plain,
% 15.91/15.77 (~P5(f458(f460(a550,f362(a571,x49151)),x49151))),
% 15.91/15.77 inference(rename_variables,[],[1353])).
% 15.91/15.77 cnf(4918,plain,
% 15.91/15.77 (~E(f362(a571,x49181),x49181)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(4921,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x49211),x49211))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(4924,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x49241),x49241))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(4927,plain,
% 15.91/15.77 (~E(f362(a571,x49271),x49271)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(4938,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x49381),x49381))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(4941,plain,
% 15.91/15.77 (P5(f458(f460(a549,x49411),f362(a571,x49411)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(4988,plain,
% 15.91/15.77 (~E(f362(a571,x49881),x49881)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(4991,plain,
% 15.91/15.77 (~E(f362(a571,x49911),x49911)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(5080,plain,
% 15.91/15.77 (~E(f362(a571,x50801),x50801)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(5083,plain,
% 15.91/15.77 (~E(f362(a571,x50831),x50831)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(5086,plain,
% 15.91/15.77 (~E(f362(a571,x50861),x50861)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(5089,plain,
% 15.91/15.77 (~E(f362(a571,x50891),x50891)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(5126,plain,
% 15.91/15.77 (~E(f362(a571,x51261),x51261)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(5129,plain,
% 15.91/15.77 (~E(f362(a571,x51291),x51291)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(5136,plain,
% 15.91/15.77 (~E(f362(a571,x51361),x51361)),
% 15.91/15.77 inference(rename_variables,[],[1326])).
% 15.91/15.77 cnf(5160,plain,
% 15.91/15.77 (P5(f420(f462(a527,x51601),f425(f461(a516,x51601),x51602)))),
% 15.91/15.77 inference(rename_variables,[],[1255])).
% 15.91/15.77 cnf(5176,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x51761),x51761))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(5179,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x51791),x51791))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(5182,plain,
% 15.91/15.77 (P5(f449(f443(a551,x51821),x51821))),
% 15.91/15.77 inference(rename_variables,[],[1122])).
% 15.91/15.77 cnf(5188,plain,
% 15.91/15.77 (P5(f458(f460(a549,x51881),f362(a571,x51881)))),
% 15.91/15.77 inference(rename_variables,[],[1209])).
% 15.91/15.77 cnf(5207,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x52071),x52071))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(5210,plain,
% 15.91/15.77 (~P5(f458(f460(a549,x52101),x52101))),
% 15.91/15.77 inference(rename_variables,[],[1350])).
% 15.91/15.77 cnf(5377,plain,
% 15.91/15.77 ($false),
% 15.91/15.77 inference(scs_inference,[],[1359,984,986,991,992,993,994,995,996,999,1000,1317,987,988,990,1011,1002,1016,1017,1018,1019,1020,1327,1329,1001,1102,1105,1106,1336,1204,1351,1261,1239,1314,1014,3349,3356,3359,3393,3396,3438,3627,1326,3351,3353,3523,3586,3632,3736,3763,3766,3783,3786,3791,3794,3797,3902,3905,3908,3911,3930,4918,4927,4988,4991,5080,5083,5086,5089,5126,5129,5136,1021,1022,1045,1324,1068,1076,1078,3399,1334,1335,1064,1122,3098,3151,3185,3196,3405,3601,3718,3723,3728,3733,5182,1124,3318,3408,3437,3580,3604,3635,3645,3676,3708,1126,3373,3376,3381,3595,3657,3694,1128,3343,3367,3370,3502,3534,3549,3570,1130,3364,3505,3564,3573,1350,3089,3188,3321,3612,3615,3618,3621,3638,3648,3712,4921,4924,4938,5176,5179,5207,5210,1107,3467,3605,3675,1111,3664,3667,3672,3680,3683,3688,3691,1113,3484,3490,3496,3528,3537,3540,3543,3546,1115,3487,3493,3499,3531,3552,3555,3558,3561,1337,1340,3717,3722,3727,3732,1344,3296,3417,3477,1346,1348,3340,1209,3095,3103,3122,3125,3203,3226,3283,3315,3713,4941,5188,1208,3522,1353,3216,3219,3241,3567,4912,4915,1164,1352,3470,1228,3473,1248,3179,3182,1247,1249,1250,3170,3173,1252,3164,3167,1253,1254,3158,3161,1255,4909,5160,1290,1291,1292,3387,1293,3384,1357,3073,3128,3210,3213,3235,1358,3244,1174,1296,1294,3176,2,1706,1654,1624,1480,1479,1478,1477,1584,1575,1933,1874,1840,1839,1801,1800,1783,1771,1716,1715,1714,1713,1712,1711,1707,1695,1690,1540,1536,1475,1452,2774,1986,1878,1816,1787,1744,1729,2728,2727,2726,2725,2722,2721,2720,2719,2718,2707,2572,2486,2444,2436,2435,2404,2253,2252,2249,2235,2233,2231,2229,2197,2120,2114,2113,2032,1962,1961,1959,1957,1860,1850,1788,1782,1781,1779,1770,1761,1760,1759,1758,1726,1702,1701,1700,1699,1601,1600,1599,2421,2364,2363,2111,2012,2011,2002,1992,1991,1930,1926,1925,1815,1811,1810,2850,2849,2755,2434,2337,2336,2335,2334,2115,2092,1842,2753,2163,981,977,3,1796,1718,1717,1496,2067,2062,2061,2048,2047,2046,2045,1826,1824,1820,1739,1738,1649,2030,2761,2467,2155,2148,2141,2137,2130,1931,1790,1594,1593,2393,2333,2204,2203,2788,2157,2123,2122,1984,1978,1972,1967,1864,1861,1640,2759,2175,2676,2309,2308,2307,2306,2303,2302,2301,2300,2263,2262,2019,1954,1952,1942,1940,1799,2787,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2319,2291,2290,2289,2288,1914,1913,2028,2966,2963,2957,2919,2918,2891,2857,2638,2713,2712,2425,2424,2951,2950,2942,2941,3061,3059,3058,3048,3047,3044,1500,1499,2552,2311,1604,2331,2330,2328,2327,2320,2312,2390,2388,2387,2386,2384,2380,2376,2372,2368,2915,2168,2945,2944,2913,2912,2027,1809,1794,1775,1725,1722,1705,1704,1658,1656,1653,1652,1625,1622,1619,1592,1580,1569,1568,1567,1563,1511,1491,1490,1489,1488,1487,1482,1481,1458,1449,1448,1446,1445,1444,1443,1442,1441,1440,1439,1438,1437,1436,1435,1434,1433,1432,1431,1430,1429,1428,1427,1426,1425,1424,1423,1422,1421,1420,1419,1418,1417,1416,1415,1414,1413,1412,1411,1410,1409,1408,1407,1398,1394,1393,1392,1391,1390,1389,1388,1383,1382,1381,1372,1371,1370,1369,1368,1367,1366,1364,1574,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469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% 15.91/15.77 ['proof']).
% 15.99/15.78 % SZS output end Proof
% 15.99/15.78 % Total time :13.370000s
%------------------------------------------------------------------------------