TSTP Solution File: SWW473+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n022.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 00:14:31 EDT 2023
% Result : Theorem 7.28s 7.43s
% Output : CNFRefutation 7.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 22:12:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 7.28/7.36 %-------------------------------------------
% 7.28/7.36 % File :CSE---1.6
% 7.28/7.36 % Problem :theBenchmark
% 7.28/7.36 % Transform :cnf
% 7.28/7.36 % Format :tptp:raw
% 7.28/7.36 % Command :java -jar mcs_scs.jar %d %s
% 7.28/7.36
% 7.28/7.36 % Result :Theorem 6.010000s
% 7.28/7.36 % Output :CNFRefutation 6.010000s
% 7.28/7.36 %-------------------------------------------
% 7.28/7.36 %------------------------------------------------------------------------------
% 7.28/7.36 % File : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% 7.28/7.36 % Domain : Software Verification
% 7.28/7.36 % Problem : Hoare's Logic with Procedures line 383, 500 axioms selected
% 7.28/7.36 % Version : Especial.
% 7.28/7.36 % English :
% 7.28/7.36
% 7.28/7.36 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 7.28/7.36 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 7.28/7.36 % Source : [Bla11]
% 7.28/7.36 % Names : hoare_500_fofmg_l383 [Bla11]
% 7.28/7.36
% 7.28/7.36 % Status : Theorem
% 7.28/7.36 % Rating : 0.33 v8.1.0, 0.36 v7.5.0, 0.38 v7.4.0, 0.30 v7.3.0, 0.34 v7.1.0, 0.35 v7.0.0, 0.40 v6.4.0, 0.42 v6.2.0, 0.40 v6.1.0, 0.50 v6.0.0, 0.43 v5.5.0, 0.63 v5.4.0, 0.61 v5.3.0
% 7.28/7.36 % Syntax : Number of formulae : 917 ( 268 unt; 0 def)
% 7.28/7.36 % Number of atoms : 2290 ( 506 equ)
% 7.28/7.36 % Maximal formula atoms : 11 ( 2 avg)
% 7.28/7.36 % Number of connectives : 1582 ( 209 ~; 54 |; 224 &)
% 7.28/7.36 % ( 137 <=>; 958 =>; 0 <=; 0 <~>)
% 7.28/7.36 % Maximal formula depth : 15 ( 5 avg)
% 7.28/7.36 % Maximal term depth : 7 ( 2 avg)
% 7.28/7.36 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty)
% 7.28/7.36 % Number of functors : 277 ( 277 usr; 61 con; 0-2 aty)
% 7.28/7.36 % Number of variables : 2101 (2036 !; 65 ?)
% 7.28/7.36 % SPC : FOF_THM_RFO_SEQ
% 7.28/7.36
% 7.28/7.36 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 7.28/7.36 % 2011-08-09 14:43:06
% 7.28/7.36 % : Encoded with monomorphized guards.
% 7.28/7.36 %------------------------------------------------------------------------------
% 7.28/7.36 %----Explicit typings (103)
% 7.28/7.36 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a,axiom,
% 7.28/7.36 ! [B_1_1,B_2_1] :
% 7.28/7.36 ( is_fun_a_bool(B_2_1)
% 7.28/7.36 => is_fun_a_bool(cOMBB_bool_bool_a(B_1_1,B_2_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname,axiom,
% 7.28/7.36 ! [B_1_1,B_2_1] :
% 7.28/7.36 ( is_fun_pname_bool(B_2_1)
% 7.28/7.36 => is_fun_pname_bool(cOMBB_647938656_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool,axiom,
% 7.28/7.36 ! [B_1_1,B_2_1] :
% 7.28/7.36 ( is_fun949378684l_bool(B_2_1)
% 7.28/7.36 => is_fun949378684l_bool(cOMBB_2140588453a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_,axiom,
% 7.28/7.36 ! [B_1_1,B_2_1] :
% 7.28/7.36 ( is_fun1661590463l_bool(B_2_1)
% 7.28/7.36 => is_fun1661590463l_bool(cOMBB_307249310e_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBK_000tc__HOL__Obool_000t__a,axiom,
% 7.28/7.36 ! [B_1_1] :
% 7.28/7.36 ( is_bool(B_1_1)
% 7.28/7.36 => is_fun_a_bool(cOMBK_bool_a(B_1_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname,axiom,
% 7.28/7.36 ! [B_1_1] :
% 7.28/7.36 ( is_bool(B_1_1)
% 7.28/7.36 => is_fun_pname_bool(cOMBK_bool_pname(B_1_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.36 ! [B_1_1] :
% 7.28/7.36 ( is_bool(B_1_1)
% 7.28/7.36 => is_fun949378684l_bool(cOMBK_324466864a_bool(B_1_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.36 ! [B_1_1] :
% 7.28/7.36 ( is_bool(B_1_1)
% 7.28/7.36 => is_fun1661590463l_bool(cOMBK_1857069011e_bool(B_1_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 7.28/7.36 ! [B_1_1,B_2_1] :
% 7.28/7.36 ( is_fun_a_bool(B_2_1)
% 7.28/7.36 => is_fun_a_bool(cOMBS_a_bool_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 7.28/7.36 ! [B_1_1,B_2_1] :
% 7.28/7.36 ( is_fun_pname_bool(B_2_1)
% 7.28/7.36 => is_fun_pname_bool(cOMBS_568398431l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo,axiom,
% 7.28/7.36 ! [B_1_1,B_2_1] :
% 7.28/7.36 ( is_fun949378684l_bool(B_2_1)
% 7.28/7.36 => is_fun949378684l_bool(cOMBS_1035972772l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.36
% 7.28/7.36 fof(gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun1661590463l_bool(B_2_1)
% 7.28/7.37 => is_fun1661590463l_bool(cOMBS_350070575l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Finite__Set_Ofinite_000t__a,axiom,
% 7.28/7.37 is_fun949378684l_bool(finite_finite_a) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname,hypothesis,
% 7.28/7.37 is_fun1661590463l_bool(finite_finite_pname) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_HOL_Oundefined_000t__a,axiom,
% 7.28/7.37 is_a(undefined_a(x_a)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_HOL_Oundefined_000tc__Com__Opname,axiom,
% 7.28/7.37 is_pname(undefined_pname(pname)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool,axiom,
% 7.28/7.37 is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 7.28/7.37 is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom,
% 7.28/7.37 is_bool(bot_bot_bool) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 is_fun_a_bool(bot_bot_fun_a_bool) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 is_fun_pname_bool(bot_bo844097828e_bool) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc,axiom,
% 7.28/7.37 is_fun949378684l_bool(bot_bo1389914601l_bool) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__,axiom,
% 7.28/7.37 is_fun1661590463l_bool(bot_bo1649642514l_bool) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_OCollect_000t__a,axiom,
% 7.28/7.37 ! [B_1_1] :
% 7.28/7.37 ( is_fun_a_bool(B_1_1)
% 7.28/7.37 => is_fun_a_bool(collect_a(B_1_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_OCollect_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1] :
% 7.28/7.37 ( is_fun_pname_bool(B_1_1)
% 7.28/7.37 => is_fun_pname_bool(collect_pname(B_1_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1] :
% 7.28/7.37 ( is_fun949378684l_bool(B_1_1)
% 7.28/7.37 => is_fun949378684l_bool(collect_fun_a_bool(B_1_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1] :
% 7.28/7.37 ( is_fun1661590463l_bool(B_1_1)
% 7.28/7.37 => is_fun1661590463l_bool(collec1974731493e_bool(B_1_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000t__a_000t__a,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_a_bool(B_2_1)
% 7.28/7.37 => is_fun_a_bool(image_a_a(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000t__a_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_a_bool(B_2_1)
% 7.28/7.37 => is_fun_pname_bool(image_a_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_a_bool(B_2_1)
% 7.28/7.37 => is_fun949378684l_bool(image_a_fun_a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_a_bool(B_2_1)
% 7.28/7.37 => is_fun1661590463l_bool(image_819518260e_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000t__a,hypothesis,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_pname_bool(B_2_1)
% 7.28/7.37 => is_fun_a_bool(image_pname_a(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_pname_bool(B_2_1)
% 7.28/7.37 => is_fun_pname_bool(image_pname_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_pname_bool(B_2_1)
% 7.28/7.37 => is_fun949378684l_bool(image_112932426a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_pname_bool(B_2_1)
% 7.28/7.37 => is_fun1661590463l_bool(image_47868345e_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun_a_bool(image_nat_a(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_nat_pname(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun949378684l_bool(image_nat_fun_a_bool(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(image_1655916159e_bool(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun949378684l_bool(B_2_1)
% 7.28/7.37 => is_fun_a_bool(image_fun_a_bool_a(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun949378684l_bool(B_2_1)
% 7.28/7.37 => is_fun_pname_bool(image_1854862208_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun1661590463l_bool(B_2_1)
% 7.28/7.37 => is_fun_a_bool(image_876012084bool_a(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun1661590463l_bool(B_2_1)
% 7.28/7.37 => is_fun_pname_bool(image_1283814551_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun_a_bool(image_fun_nat_bool_a(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_1921560913_pname(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oinsert_000t__a,hypothesis,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( ( is_a(B_1_1)
% 7.28/7.37 & is_fun_a_bool(B_2_1) )
% 7.28/7.37 => is_fun_a_bool(insert_a(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oinsert_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( ( is_pname(B_1_1)
% 7.28/7.37 & is_fun_pname_bool(B_2_1) )
% 7.28/7.37 => is_fun_pname_bool(insert_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oinsert_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( ( is_fun_a_bool(B_1_1)
% 7.28/7.37 & is_fun949378684l_bool(B_2_1) )
% 7.28/7.37 => is_fun949378684l_bool(insert_fun_a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( ( is_fun_pname_bool(B_1_1)
% 7.28/7.37 & is_fun1661590463l_bool(B_2_1) )
% 7.28/7.37 => is_fun1661590463l_bool(insert1325755072e_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_fFalse,axiom,
% 7.28/7.37 is_bool(fFalse) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_fTrue,axiom,
% 7.28/7.37 is_bool(fTrue) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000t__a_000t__a,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_a(B_2_1)
% 7.28/7.37 => is_a(hAPP_a_a(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000t__a_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_a(B_2_1)
% 7.28/7.37 => is_pname(hAPP_a_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000t__a_000tc__HOL__Obool,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( ( is_fun_a_bool(B_1_1)
% 7.28/7.37 & is_a(B_2_1) )
% 7.28/7.37 => is_bool(hAPP_a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_a(B_2_1)
% 7.28/7.37 => is_fun_a_bool(hAPP_a_fun_a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_a(B_2_1)
% 7.28/7.37 => is_fun_pname_bool(hAPP_a93125764e_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J,hypothesis,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_a(B_2_1)
% 7.28/7.37 => is_fun949378684l_bool(hAPP_a85458249l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__H,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_a(B_2_1)
% 7.28/7.37 => is_fun1661590463l_bool(hAPP_a217006258l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Com__Opname_000t__a,hypothesis,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_pname(B_2_1)
% 7.28/7.37 => is_a(hAPP_pname_a(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_pname(B_2_1)
% 7.28/7.37 => is_pname(hAPP_pname_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( ( is_fun_pname_bool(B_1_1)
% 7.28/7.37 & is_pname(B_2_1) )
% 7.28/7.37 => is_bool(hAPP_pname_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_pname(B_2_1)
% 7.28/7.37 => is_fun_a_bool(hAPP_p1534023578a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_pname(B_2_1)
% 7.28/7.37 => is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__H,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_pname(B_2_1)
% 7.28/7.37 => is_fun949378684l_bool(hAPP_p1824510254l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,hypothesis,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_pname(B_2_1)
% 7.28/7.37 => is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_bool(B_2_1)
% 7.28/7.37 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Nat__Onat_000t__a,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_a(hAPP_nat_a(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_pname(hAPP_nat_pname(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,hypothesis,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun_a_bool(hAPP_nat_fun_a_bool(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_n1025906991e_bool(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun949378684l_bool(hAPP_n1414589940l_bool(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(hAPP_n850744903l_bool(B_1_1,B_2_1)) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 7.28/7.37 ! [B_1_1,B_2_1] :
% 7.28/7.37 ( is_fun_a_bool(B_2_1)
% 7.28/7.37 => is_pname(hAPP_f1128469712_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.37
% 7.28/7.37 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool,hypothesis,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( ( is_fun949378684l_bool(B_1_1)
% 7.28/7.38 & is_fun_a_bool(B_2_1) )
% 7.28/7.38 => is_bool(hAPP_fun_a_bool_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun_a_bool(B_2_1)
% 7.28/7.38 => is_fun_a_bool(hAPP_f2050579477a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Opname_Mtc__H,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun_a_bool(B_2_1)
% 7.28/7.38 => is_fun_pname_bool(hAPP_f1794073134e_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL,hypothesis,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun_a_bool(B_2_1)
% 7.28/7.38 => is_fun949378684l_bool(hAPP_f1631501043l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun_pname_bool(B_2_1)
% 7.28/7.38 => is_pname(hAPP_f1297739591_pname(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool,hypothesis,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( ( is_fun1661590463l_bool(B_1_1)
% 7.28/7.38 & is_fun_pname_bool(B_2_1) )
% 7.28/7.38 => is_bool(hAPP_f1664156314l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__H,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun_pname_bool(B_2_1)
% 7.28/7.38 => is_fun_a_bool(hAPP_f1051908748a_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun_pname_bool(B_2_1)
% 7.28/7.38 => is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun_pname_bool(B_2_1)
% 7.28/7.38 => is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] : is_pname(hAPP_f1291551745_pname(B_1_1,B_2_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] : is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] : is_fun_a_bool(hAPP_f1549043526a_bool(B_1_1,B_2_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Opna,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_f654413245e_bool(B_1_1,B_2_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun949378684l_bool(B_2_1)
% 7.28/7.38 => is_bool(hAPP_f621171935l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___001,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun949378684l_bool(B_2_1)
% 7.28/7.38 => is_fun949378684l_bool(hAPP_f2117159681l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun1661590463l_bool(B_2_1)
% 7.28/7.38 => is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_002,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] :
% 7.28/7.38 ( is_fun1661590463l_bool(B_2_1)
% 7.28/7.38 => is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] : is_bool(hAPP_f1637334154l_bool(B_1_1,B_2_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] : is_bool(hAPP_f292226953l_bool(B_1_1,B_2_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] : is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO,axiom,
% 7.28/7.38 ! [B_1_1,B_2_1] : is_bool(hAPP_f937997336l_bool(B_1_1,B_2_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_v_G,hypothesis,
% 7.28/7.38 is_fun_a_bool(g) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_v_P,axiom,
% 7.28/7.38 ! [B_1_1] :
% 7.28/7.38 ( is_fun_a_bool(B_1_1)
% 7.28/7.38 => is_fun949378684l_bool(p(B_1_1)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_v_U,hypothesis,
% 7.28/7.38 is_fun_pname_bool(u) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_v_mgt,axiom,
% 7.28/7.38 ! [B_1_1] : is_a(mgt(B_1_1)) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_v_pn,hypothesis,
% 7.28/7.38 is_pname(pn) ).
% 7.28/7.38
% 7.28/7.38 fof(gsy_v_wt,axiom,
% 7.28/7.38 ! [B_1_1] : is_bool(wt(B_1_1)) ).
% 7.28/7.38
% 7.28/7.38 %----Relevant facts (700)
% 7.28/7.38 fof(fact_0_assms_I1_J,axiom,
% 7.28/7.38 ! [Ts,G] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Ts),G))
% 7.28/7.38 => hBOOL(hAPP_fun_a_bool_bool(p(G),Ts)) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_1_finite__Collect__subsets,axiom,
% 7.28/7.38 ! [A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A_1)))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_2_finite__Collect__subsets,axiom,
% 7.28/7.38 ! [A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A_1)))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_3_finite__Collect__subsets,axiom,
% 7.28/7.38 ! [A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A_1)))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_4_finite__Collect__subsets,axiom,
% 7.28/7.38 ! [A_1] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.38 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A_1)))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_5_finite__Collect__subsets,axiom,
% 7.28/7.38 ! [A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.38 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A_1)))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_6_finite__Collect__subsets,axiom,
% 7.28/7.38 ! [A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.38 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A_1)))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_7_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 7.28/7.38 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_8_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 7.28/7.38 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_9_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 7.28/7.38 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_10_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 7.28/7.38 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_11_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 7.28/7.38 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_12_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 7.28/7.38 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_13_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 7.28/7.38 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_14_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 7.28/7.38 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_15_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))
% 7.28/7.38 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_16_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 7.28/7.38 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_17_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))
% 7.28/7.38 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_18_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 7.28/7.38 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_19_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))
% 7.28/7.38 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_20_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 7.28/7.38 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_21_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))
% 7.28/7.38 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_22_finite__imageI,axiom,
% 7.28/7.38 ! [H,F_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 7.28/7.38 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(H,F_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_23_finite_OinsertI,axiom,
% 7.28/7.38 ! [A_3,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_3,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_24_finite_OinsertI,axiom,
% 7.28/7.38 ! [A_3,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_3,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_25_finite_OinsertI,axiom,
% 7.28/7.38 ! [A_3,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_3,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_26_finite_OinsertI,axiom,
% 7.28/7.38 ! [A_3,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.38 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_3,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_27_finite_OinsertI,axiom,
% 7.28/7.38 ! [A_3,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.38 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_3,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_28_finite_OinsertI,axiom,
% 7.28/7.38 ! [A_3,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.38 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_3,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_29_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(F,A_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_30_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(F,A_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_31_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.38 => 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_1))),hAPP_f696928925ol_nat(finite346522414t_bool,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_32_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(F,A_1))),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_33_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.38 => 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_1))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_34_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(F,A_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_35_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(F,A_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_36_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(F,A_1))),hAPP_f696928925ol_nat(finite346522414t_bool,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_37_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(F,A_1))),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_38_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(F,A_1))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_39_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(F,A_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_40_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(F,A_1))),hAPP_f22106695ol_nat(finite_card_nat,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_41_card__image__le,axiom,
% 7.28/7.38 ! [F,A_1] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(F,A_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1))) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_42_card__mono,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)),hAPP_f696928925ol_nat(finite346522414t_bool,B_6))) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_43_card__mono,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)),hAPP_f55526627ol_nat(finite1340463720e_bool,B_6))) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_44_card__mono,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,B_6))) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_45_card__mono,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,A_1)),hAPP_f921600141ol_nat(finite_card_pname,B_6))) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_46_card__mono,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,A_1)),hAPP_fun_a_bool_nat(finite_card_a,B_6))) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_47_card__mono,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.38 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,A_1)),hAPP_f22106695ol_nat(finite_card_nat,B_6))) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_48_card__seteq,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))
% 7.28/7.38 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B_6)),hAPP_f696928925ol_nat(finite346522414t_bool,A_1)))
% 7.28/7.38 => A_1 = B_6 ) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_49_card__seteq,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( ( is_fun1661590463l_bool(A_1)
% 7.28/7.38 & is_fun1661590463l_bool(B_6) )
% 7.28/7.38 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))
% 7.28/7.38 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B_6)),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)))
% 7.28/7.38 => A_1 = B_6 ) ) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_50_card__seteq,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.38 ( ( is_fun949378684l_bool(A_1)
% 7.28/7.38 & is_fun949378684l_bool(B_6) )
% 7.28/7.38 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))
% 7.28/7.38 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))
% 7.28/7.38 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B_6)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)))
% 7.28/7.38 => A_1 = B_6 ) ) ) ) ).
% 7.28/7.38
% 7.28/7.38 fof(fact_51_card__seteq,axiom,
% 7.28/7.38 ! [A_1,B_6] :
% 7.28/7.39 ( ( is_fun_pname_bool(A_1)
% 7.28/7.39 & is_fun_pname_bool(B_6) )
% 7.28/7.39 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,B_6)),hAPP_f921600141ol_nat(finite_card_pname,A_1)))
% 7.28/7.39 => A_1 = B_6 ) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_52_card__seteq,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( ( is_fun_a_bool(A_1)
% 7.28/7.39 & is_fun_a_bool(B_6) )
% 7.28/7.39 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,B_6)),hAPP_fun_a_bool_nat(finite_card_a,A_1)))
% 7.28/7.39 => A_1 = B_6 ) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_53_card__seteq,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,B_6)),hAPP_f22106695ol_nat(finite_card_nat,A_1)))
% 7.28/7.39 => A_1 = B_6 ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_54_card__insert__le,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)),hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_55_card__insert__le,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)),hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_56_card__insert__le,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_57_card__insert__le,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,A_1)),hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_58_card__insert__le,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,A_1)),hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_59_card__insert__le,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,A_1)),hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_60_card__insert__if,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.39 => ( ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1)) = hAPP_f696928925ol_nat(finite346522414t_bool,A_1) )
% 7.28/7.39 & ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_61_card__insert__if,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.39 => ( ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1)) = hAPP_f55526627ol_nat(finite1340463720e_bool,A_1) )
% 7.28/7.39 & ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_62_card__insert__if,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.39 => ( ( hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1)) = hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1) )
% 7.28/7.39 & ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_63_card__insert__if,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.39 => ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.39 => hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1)) = hAPP_f22106695ol_nat(finite_card_nat,A_1) )
% 7.28/7.39 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.39 => hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A_1)) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_64_card__insert__if,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.39 => ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.39 => hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1)) = hAPP_f921600141ol_nat(finite_card_pname,A_1) )
% 7.28/7.39 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.39 => hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A_1)) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_65_card__insert__if,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.39 => ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.39 => hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1)) = hAPP_fun_a_bool_nat(finite_card_a,A_1) )
% 7.28/7.39 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.39 => hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A_1)) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_66_card__insert__disjoint,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.39 => ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_67_card__insert__disjoint,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.39 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_68_card__insert__disjoint,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.39 => ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))
% 7.28/7.39 => hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_69_card__insert__disjoint,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.39 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.39 => hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_70_card__insert__disjoint,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.39 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.39 => hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_71_card__insert__disjoint,axiom,
% 7.28/7.39 ! [X_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.39 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.39 => hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_72_finite__Collect__conjI,axiom,
% 7.28/7.39 ! [Q_1,Pa] :
% 7.28/7.39 ( ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))
% 7.28/7.39 | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_1))) )
% 7.28/7.39 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_73_finite__Collect__conjI,axiom,
% 7.28/7.39 ! [Q_1,Pa] :
% 7.28/7.39 ( ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))
% 7.28/7.39 | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1))) )
% 7.28/7.39 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_74_finite__Collect__conjI,axiom,
% 7.28/7.39 ! [Q_1,Pa] :
% 7.28/7.39 ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))
% 7.28/7.39 | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1))) )
% 7.28/7.39 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_75_finite__Collect__conjI,axiom,
% 7.28/7.39 ! [Q_1,Pa] :
% 7.28/7.39 ( ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))
% 7.28/7.39 | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1))) )
% 7.28/7.39 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_76_finite__Collect__conjI,axiom,
% 7.28/7.39 ! [Q_1,Pa] :
% 7.28/7.39 ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))
% 7.28/7.39 | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1))) )
% 7.28/7.39 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_77_finite__Collect__conjI,axiom,
% 7.28/7.39 ! [Q_1,Pa] :
% 7.28/7.39 ( ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))
% 7.28/7.39 | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1))) )
% 7.28/7.39 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_1)))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_78_Suc__diff__le,axiom,
% 7.28/7.39 ! [N,M] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 7.28/7.39 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N) = hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(M),N)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_79_finite__Collect__le__nat,axiom,
% 7.28/7.39 ! [K_2] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),K_2)))) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_80_card__Collect__le__nat,axiom,
% 7.28/7.39 ! [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) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_81_Suc__inject,axiom,
% 7.28/7.39 ! [X,Y] :
% 7.28/7.39 ( hAPP_nat_nat(suc,X) = hAPP_nat_nat(suc,Y)
% 7.28/7.39 => X = Y ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_82_nat_Oinject,axiom,
% 7.28/7.39 ! [Nat_3,Nat_2] :
% 7.28/7.39 ( hAPP_nat_nat(suc,Nat_3) = hAPP_nat_nat(suc,Nat_2)
% 7.28/7.39 <=> Nat_3 = Nat_2 ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_83_Suc__n__not__n,axiom,
% 7.28/7.39 ! [N] : hAPP_nat_nat(suc,N) != N ).
% 7.28/7.39
% 7.28/7.39 fof(fact_84_n__not__Suc__n,axiom,
% 7.28/7.39 ! [N] : N != hAPP_nat_nat(suc,N) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_85_le__antisym,axiom,
% 7.28/7.39 ! [M,N] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 7.28/7.39 => M = N ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_86_le__trans,axiom,
% 7.28/7.39 ! [K,I,J_2] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_2),K))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),K)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_87_eq__imp__le,axiom,
% 7.28/7.39 ! [M,N] :
% 7.28/7.39 ( M = N
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_88_nat__le__linear,axiom,
% 7.28/7.39 ! [M,N] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.39 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_89_le__refl,axiom,
% 7.28/7.39 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),N)) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_90_diff__commute,axiom,
% 7.28/7.39 ! [I,J_2,K] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J_2)),K) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),K)),J_2) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_91_finite__Collect__disjI,axiom,
% 7.28/7.39 ! [Pa,Q_1] :
% 7.28/7.39 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_1))))
% 7.28/7.39 <=> ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))
% 7.28/7.39 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_1))) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_92_finite__Collect__disjI,axiom,
% 7.28/7.39 ! [Pa,Q_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_1))))
% 7.28/7.39 <=> ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))
% 7.28/7.39 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1))) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_93_finite__Collect__disjI,axiom,
% 7.28/7.39 ! [Pa,Q_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_1))))
% 7.28/7.39 <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))
% 7.28/7.39 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1))) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_94_finite__Collect__disjI,axiom,
% 7.28/7.39 ! [Pa,Q_1] :
% 7.28/7.39 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_1))))
% 7.28/7.39 <=> ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))
% 7.28/7.39 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1))) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_95_finite__Collect__disjI,axiom,
% 7.28/7.39 ! [Pa,Q_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_1))))
% 7.28/7.39 <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))
% 7.28/7.39 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1))) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_96_finite__Collect__disjI,axiom,
% 7.28/7.39 ! [Pa,Q_1] :
% 7.28/7.39 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_1))))
% 7.28/7.39 <=> ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))
% 7.28/7.39 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1))) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_97_finite__insert,axiom,
% 7.28/7.39 ! [A_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_3,A_1)))
% 7.28/7.39 <=> hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_98_finite__insert,axiom,
% 7.28/7.39 ! [A_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_3,A_1)))
% 7.28/7.39 <=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_99_finite__insert,axiom,
% 7.28/7.39 ! [A_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_3,A_1)))
% 7.28/7.39 <=> hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_100_finite__insert,axiom,
% 7.28/7.39 ! [A_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_3,A_1)))
% 7.28/7.39 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_101_finite__insert,axiom,
% 7.28/7.39 ! [A_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_3,A_1)))
% 7.28/7.39 <=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_102_finite__insert,axiom,
% 7.28/7.39 ! [A_3,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_3,A_1)))
% 7.28/7.39 <=> hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_103_finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))
% 7.28/7.39 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_104_finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))
% 7.28/7.39 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_105_finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))
% 7.28/7.39 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_106_finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.39 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_107_finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.39 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_108_finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.39 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_109_rev__finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))
% 7.28/7.39 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_110_rev__finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))
% 7.28/7.39 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_111_rev__finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))
% 7.28/7.39 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_112_rev__finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.39 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_113_rev__finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.39 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_114_rev__finite__subset,axiom,
% 7.28/7.39 ! [A_1,B_6] :
% 7.28/7.39 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.39 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.39 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_115_Suc__leD,axiom,
% 7.28/7.39 ! [M,N] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M)),N))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_116_le__SucE,axiom,
% 7.28/7.39 ! [M,N] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(suc,N)))
% 7.28/7.39 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.39 => M = hAPP_nat_nat(suc,N) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_117_le__SucI,axiom,
% 7.28/7.39 ! [M,N] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(suc,N))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_118_Suc__le__mono,axiom,
% 7.28/7.39 ! [Na,M_1] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M_1)))
% 7.28/7.39 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),M_1)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_119_le__Suc__eq,axiom,
% 7.28/7.39 ! [M_1,Na] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(suc,Na)))
% 7.28/7.39 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na))
% 7.28/7.39 | M_1 = hAPP_nat_nat(suc,Na) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_120_not__less__eq__eq,axiom,
% 7.28/7.39 ! [M_1,Na] :
% 7.28/7.39 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na))
% 7.28/7.39 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M_1)) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_121_Suc__n__not__le__n,axiom,
% 7.28/7.39 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N)),N)) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_122_Suc__diff__diff,axiom,
% 7.28/7.39 ! [M,N,K] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N)),hAPP_nat_nat(suc,K)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),N)),K) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_123_diff__Suc__Suc,axiom,
% 7.28/7.39 ! [M,N] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(minus_minus_nat(M),N) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_124_le__diff__iff,axiom,
% 7.28/7.39 ! [Na,K_2,M_1] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),M_1))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),Na))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_2)),hAPP_nat_nat(minus_minus_nat(Na),K_2)))
% 7.28/7.39 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na)) ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_125_Nat_Odiff__diff__eq,axiom,
% 7.28/7.39 ! [N,K,M] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N))
% 7.28/7.39 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),K)),hAPP_nat_nat(minus_minus_nat(N),K)) = hAPP_nat_nat(minus_minus_nat(M),N) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_126_eq__diff__iff,axiom,
% 7.28/7.39 ! [Na,K_2,M_1] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),M_1))
% 7.28/7.39 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),Na))
% 7.28/7.39 => ( hAPP_nat_nat(minus_minus_nat(M_1),K_2) = hAPP_nat_nat(minus_minus_nat(Na),K_2)
% 7.28/7.39 <=> M_1 = Na ) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_127_diff__diff__cancel,axiom,
% 7.28/7.39 ! [I,N] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),N))
% 7.28/7.39 => hAPP_nat_nat(minus_minus_nat(N),hAPP_nat_nat(minus_minus_nat(N),I)) = I ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_128_diff__le__mono,axiom,
% 7.28/7.39 ! [L,M,N] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(M),L)),hAPP_nat_nat(minus_minus_nat(N),L))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_129_diff__le__mono2,axiom,
% 7.28/7.39 ! [L,M,N] :
% 7.28/7.39 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.39 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(L),N)),hAPP_nat_nat(minus_minus_nat(L),M))) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_130_diff__le__self,axiom,
% 7.28/7.39 ! [M,N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(M),N)),M)) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_131_finite__surj,axiom,
% 7.28/7.39 ! [B_6,F,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.39 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))
% 7.28/7.39 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_132_finite__surj,axiom,
% 7.28/7.39 ! [B_6,F,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.39 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_nat_bool_a(F,A_1)))
% 7.28/7.39 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_133_finite__surj,axiom,
% 7.28/7.39 ! [B_6,F,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.39 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))
% 7.28/7.39 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_134_finite__surj,axiom,
% 7.28/7.39 ! [B_6,F,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.39 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))
% 7.28/7.39 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_135_finite__surj,axiom,
% 7.28/7.39 ! [B_6,F,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.39 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))
% 7.28/7.39 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_136_finite__surj,axiom,
% 7.28/7.39 ! [B_6,F,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.39 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))
% 7.28/7.39 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6)) ) ) ).
% 7.28/7.39
% 7.28/7.39 fof(fact_137_finite__surj,axiom,
% 7.28/7.39 ! [B_6,F,A_1] :
% 7.28/7.39 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.39 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))
% 7.28/7.39 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_138_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_139_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_140_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_141_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_26036933t_bool(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_142_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_1655916159e_bool(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_143_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_nat_fun_a_bool(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_144_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_nat_pname(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_145_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_nat_nat(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_146_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_147_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1921560913_pname(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_148_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_149_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_150_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_151_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_496248727ol_nat(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_152_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_153_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_154_finite__surj,axiom,
% 7.28/7.40 ! [B_6,F,A_1] :
% 7.28/7.40 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))
% 7.28/7.40 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_155_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_a_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_nat_bool_a(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_7))
% 7.28/7.40 & B_6 = image_fun_nat_bool_a(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_156_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_a_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun1661590463l_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_7))
% 7.28/7.40 & B_6 = image_876012084bool_a(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_157_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_a_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun949378684l_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_7))
% 7.28/7.40 & B_6 = image_fun_a_bool_a(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_158_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_a_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_a_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))
% 7.28/7.40 & B_6 = image_a_a(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_159_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_a_fun_nat_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_a_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))
% 7.28/7.40 & B_6 = image_a_fun_nat_bool(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_160_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun1661590463l_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_819518260e_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_a_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))
% 7.28/7.40 & B_6 = image_819518260e_bool(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_161_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun949378684l_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_a_fun_a_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_a_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))
% 7.28/7.40 & B_6 = image_a_fun_a_bool(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_162_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_pname_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_a_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))
% 7.28/7.40 & B_6 = image_a_pname(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_163_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_pname_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1921560913_pname(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_7))
% 7.28/7.40 & B_6 = image_1921560913_pname(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_164_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_pname_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun1661590463l_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_7))
% 7.28/7.40 & B_6 = image_1283814551_pname(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_165_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_pname_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun949378684l_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_7))
% 7.28/7.40 & B_6 = image_1854862208_pname(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_166_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_a_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))
% 7.28/7.40 & B_6 = image_a_nat(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_167_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_496248727ol_nat(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_7))
% 7.28/7.40 & B_6 = image_496248727ol_nat(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_168_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun1661590463l_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_7))
% 7.28/7.40 & B_6 = image_1551609309ol_nat(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_169_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun949378684l_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_7))
% 7.28/7.40 & B_6 = image_fun_a_bool_nat(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_170_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_pname_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))
% 7.28/7.40 & B_6 = image_2129980159t_bool(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_171_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun1661590463l_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_pname_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))
% 7.28/7.40 & B_6 = image_47868345e_bool(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_172_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun949378684l_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_pname_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))
% 7.28/7.40 & B_6 = image_112932426a_bool(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_173_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_pname_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_pname_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))
% 7.28/7.40 & B_6 = image_pname_pname(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_174_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_pname_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))
% 7.28/7.40 & B_6 = image_pname_nat(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_175_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_a_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))
% 7.28/7.40 & B_6 = image_nat_a(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_176_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_26036933t_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))
% 7.28/7.40 & B_6 = image_26036933t_bool(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_177_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun1661590463l_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_1655916159e_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))
% 7.28/7.40 & B_6 = image_1655916159e_bool(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_178_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun949378684l_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_nat_fun_a_bool(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))
% 7.28/7.40 & B_6 = image_nat_fun_a_bool(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_179_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_pname_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_nat_pname(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))
% 7.28/7.40 & B_6 = image_nat_pname(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_180_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_nat_nat(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))
% 7.28/7.40 & B_6 = image_nat_nat(F,C_7) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_181_finite__subset__image,axiom,
% 7.28/7.40 ! [F,A_1,B_6] :
% 7.28/7.40 ( is_fun_a_bool(B_6)
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
% 7.28/7.40 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))
% 7.28/7.40 => ? [C_7] :
% 7.28/7.40 ( is_fun_pname_bool(C_7)
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))
% 7.28/7.40 & B_6 = image_pname_a(F,C_7) ) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_182_lift__Suc__mono__le,axiom,
% 7.28/7.40 ! [Na,N_3,F] :
% 7.28/7.40 ( ! [N_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,N_2)),hAPP_nat_bool(F,hAPP_nat_nat(suc,N_2))))
% 7.28/7.40 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 7.28/7.40 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,Na)),hAPP_nat_bool(F,N_3))) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_183_lift__Suc__mono__le,axiom,
% 7.28/7.40 ! [Na,N_3,F] :
% 7.28/7.40 ( ! [N_2] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,N_2)),hAPP_n1025906991e_bool(F,hAPP_nat_nat(suc,N_2))))
% 7.28/7.40 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 7.28/7.40 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,Na)),hAPP_n1025906991e_bool(F,N_3))) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_184_lift__Suc__mono__le,axiom,
% 7.28/7.40 ! [Na,N_3,F] :
% 7.28/7.40 ( ! [N_2] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,N_2)),hAPP_n1699378549t_bool(F,hAPP_nat_nat(suc,N_2))))
% 7.28/7.40 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 7.28/7.40 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,Na)),hAPP_n1699378549t_bool(F,N_3))) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_185_lift__Suc__mono__le,axiom,
% 7.28/7.40 ! [Na,N_3,F] :
% 7.28/7.40 ( ! [N_2] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,N_2)),hAPP_nat_fun_a_bool(F,hAPP_nat_nat(suc,N_2))))
% 7.28/7.40 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 7.28/7.40 => 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))) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_186_lift__Suc__mono__le,axiom,
% 7.28/7.40 ! [Na,N_3,F] :
% 7.28/7.40 ( ! [N_2] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))))
% 7.28/7.40 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3))
% 7.28/7.40 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_3))) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_187_pigeonhole__infinite,axiom,
% 7.28/7.40 ! [F,A_1] :
% 7.28/7.40 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(F,A_1)))
% 7.28/7.40 => ? [X_1] :
% 7.28/7.40 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.40 & ~ 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_1)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fequal_pname,F)),hAPP_nat_pname(F,X_1)))))) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_188_pigeonhole__infinite,axiom,
% 7.28/7.40 ! [F,A_1] :
% 7.28/7.40 ( ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(F,A_1)))
% 7.28/7.40 => ? [X_1] :
% 7.28/7.40 ( is_a(X_1)
% 7.28/7.40 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.40 & ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_p1534023578a_bool(cOMBC_a_pname_bool(cOMBB_610033911bool_a(fequal_pname,F)),hAPP_a_pname(F,X_1)))))) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_189_pigeonhole__infinite,axiom,
% 7.28/7.40 ! [F,A_1] :
% 7.28/7.40 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(F,A_1)))
% 7.28/7.40 => ? [X_1] :
% 7.28/7.40 ( is_pname(X_1)
% 7.28/7.40 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.40 & ~ 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_1)),hAPP_p61793385e_bool(cOMBC_1149511130e_bool(cOMBB_542850580_pname(fequal_pname,F)),hAPP_pname_pname(F,X_1)))))) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_190_pigeonhole__infinite,axiom,
% 7.28/7.40 ! [F,A_1] :
% 7.28/7.40 ( ~ hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(F,A_1)))
% 7.28/7.40 => ? [X_1] :
% 7.28/7.40 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A_1))
% 7.28/7.40 & ~ hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),A_1)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fequal_pname,F)),hAPP_f1291551745_pname(F,X_1)))))) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_191_pigeonhole__infinite,axiom,
% 7.28/7.40 ! [F,A_1] :
% 7.28/7.40 ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(F,A_1)))
% 7.28/7.40 => ? [X_1] :
% 7.28/7.40 ( is_fun_pname_bool(X_1)
% 7.28/7.40 & hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A_1))
% 7.28/7.40 & ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),A_1)),hAPP_p338031245l_bool(cOMBC_1004116266e_bool(cOMBB_598082538e_bool(fequal_pname,F)),hAPP_f1297739591_pname(F,X_1)))))) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_192_pigeonhole__infinite,axiom,
% 7.28/7.40 ! [F,A_1] :
% 7.28/7.40 ( ~ hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.40 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(F,A_1)))
% 7.28/7.40 => ? [X_1] :
% 7.28/7.40 ( is_fun_a_bool(X_1)
% 7.28/7.40 & hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A_1))
% 7.28/7.40 & ~ hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),A_1)),hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(cOMBB_1693087065a_bool(fequal_pname,F)),hAPP_f1128469712_pname(F,X_1)))))) ) ) ) ).
% 7.28/7.40
% 7.28/7.40 fof(fact_193_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fequal_nat,F)),hAPP_nat_nat(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_194_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.41 & ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(cOMBB_1321347587bool_a(fequal_nat,F)),hAPP_a_nat(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_195_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(cOMBB_523834888_pname(fequal_nat,F)),hAPP_pname_nat(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_196_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A_1))
% 7.28/7.41 & ~ hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),A_1)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fequal_nat,F)),hAPP_f22106695ol_nat(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_197_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_fun_pname_bool(X_1)
% 7.28/7.41 & hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A_1))
% 7.28/7.41 & ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),A_1)),hAPP_n850744903l_bool(cOMBC_1666426608t_bool(cOMBB_1896684278e_bool(fequal_nat,F)),hAPP_f921600141ol_nat(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_198_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_fun_a_bool(X_1)
% 7.28/7.41 & hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A_1))
% 7.28/7.41 & ~ hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),A_1)),hAPP_n1414589940l_bool(cOMBC_619334683t_bool(cOMBB_164527437a_bool(fequal_nat,F)),hAPP_fun_a_bool_nat(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_199_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fequal_a,F)),hAPP_nat_a(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_200_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,F)),hAPP_n1699378549t_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_201_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,F)),hAPP_n1025906991e_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_202_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,F)),hAPP_nat_fun_a_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_203_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_f654413245e_bool(cOMBC_267053842l_bool(cOMBB_928955006_pname(fequal_fun_nat_bool,F)),hAPP_p1499970991t_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_204_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(cOMBB_408569982_pname(fequal533582459e_bool,F)),hAPP_p61793385e_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_205_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_f1794073134e_bool(cOMBC_445755039l_bool(cOMBB_392435466_pname(fequal_fun_a_bool,F)),hAPP_p1534023578a_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_206_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.41 & ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_a_fun_a_bool(cOMBC_a_a_bool(cOMBB_a_fun_a_bool_a(fequal_a,F)),hAPP_a_a(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_207_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.41 & ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f1549043526a_bool(cOMBC_777206479l_bool(cOMBB_743407885bool_a(fequal_fun_nat_bool,F)),hAPP_a_fun_nat_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_208_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.41 & ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(cOMBB_1137537805bool_a(fequal533582459e_bool,F)),hAPP_a93125764e_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_209_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.41 & ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(cOMBB_472261505bool_a(fequal_fun_a_bool,F)),hAPP_a_fun_a_bool(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_210_pigeonhole__infinite,axiom,
% 7.28/7.41 ! [F,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A_1)))
% 7.28/7.41 => ? [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 & ~ 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_1)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,F)),hAPP_pname_a(F,X_1)))))) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_211_image__eqI,axiom,
% 7.28/7.41 ! [A_1,B_1,F,X_3] :
% 7.28/7.41 ( B_1 = hAPP_pname_nat(F,X_3)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_212_image__eqI,axiom,
% 7.28/7.41 ! [A_1,B_1,F,X_3] :
% 7.28/7.41 ( B_1 = hAPP_a_nat(F,X_3)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_213_image__eqI,axiom,
% 7.28/7.41 ! [A_1,B_1,F,X_3] :
% 7.28/7.41 ( B_1 = hAPP_nat_pname(F,X_3)
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_214_image__eqI,axiom,
% 7.28/7.41 ! [A_1,B_1,F,X_3] :
% 7.28/7.41 ( B_1 = hAPP_nat_a(F,X_3)
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_215_image__eqI,axiom,
% 7.28/7.41 ! [A_1,B_1,F,X_3] :
% 7.28/7.41 ( B_1 = hAPP_pname_a(F,X_3)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_216_equalityI,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( ( is_fun_pname_bool(A_1)
% 7.28/7.41 & is_fun_pname_bool(B_6) )
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1))
% 7.28/7.41 => A_1 = B_6 ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_217_equalityI,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1))
% 7.28/7.41 => A_1 = B_6 ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_218_equalityI,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( ( is_fun_a_bool(A_1)
% 7.28/7.41 & is_fun_a_bool(B_6) )
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1))
% 7.28/7.41 => A_1 = B_6 ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_219_subsetD,axiom,
% 7.28/7.41 ! [C_1,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_220_subsetD,axiom,
% 7.28/7.41 ! [C_1,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_221_subsetD,axiom,
% 7.28/7.41 ! [C_1,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_222_insertCI,axiom,
% 7.28/7.41 ! [B_1,A_3,B_6] :
% 7.28/7.41 ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),B_6))
% 7.28/7.41 => A_3 = B_1 )
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_223_insertCI,axiom,
% 7.28/7.41 ! [B_1,A_3,B_6] :
% 7.28/7.41 ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),B_6))
% 7.28/7.41 => A_3 = B_1 )
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_224_insertCI,axiom,
% 7.28/7.41 ! [B_1,A_3,B_6] :
% 7.28/7.41 ( ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),B_6))
% 7.28/7.41 => A_3 = B_1 )
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_225_insertE,axiom,
% 7.28/7.41 ! [A_3,B_1,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,A_1)))
% 7.28/7.41 => ( A_3 != B_1
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_226_insertE,axiom,
% 7.28/7.41 ! [A_3,B_1,A_1] :
% 7.28/7.41 ( ( is_pname(A_3)
% 7.28/7.41 & is_pname(B_1) )
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,A_1)))
% 7.28/7.41 => ( A_3 != B_1
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_227_insertE,axiom,
% 7.28/7.41 ! [A_3,B_1,A_1] :
% 7.28/7.41 ( ( is_a(A_3)
% 7.28/7.41 & is_a(B_1) )
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,A_1)))
% 7.28/7.41 => ( A_3 != B_1
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_228_zero__induct__lemma,axiom,
% 7.28/7.41 ! [I_1,Pa,K_2] :
% 7.28/7.41 ( hBOOL(hAPP_nat_bool(Pa,K_2))
% 7.28/7.41 => ( ! [N_2] :
% 7.28/7.41 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_2)))
% 7.28/7.41 => hBOOL(hAPP_nat_bool(Pa,N_2)) )
% 7.28/7.41 => hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(minus_minus_nat(K_2),I_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_229_Suc__le__D,axiom,
% 7.28/7.41 ! [N,M_3] :
% 7.28/7.41 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N)),M_3))
% 7.28/7.41 => ? [M_2] : M_3 = hAPP_nat_nat(suc,M_2) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_230_insertI1,axiom,
% 7.28/7.41 ! [A_3,B_6] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(A_3,B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_231_insertI1,axiom,
% 7.28/7.41 ! [A_3,B_6] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(A_3,B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_232_insertI1,axiom,
% 7.28/7.41 ! [A_3,B_6] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(A_3,B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_233_insert__compr,axiom,
% 7.28/7.41 ! [A_3,B_6] : insert_fun_nat_bool(A_3,B_6) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),A_3)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_234_insert__compr,axiom,
% 7.28/7.41 ! [A_3,B_6] : insert1325755072e_bool(A_3,B_6) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_3)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_235_insert__compr,axiom,
% 7.28/7.41 ! [A_3,B_6] : insert_fun_a_bool(A_3,B_6) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),A_3)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_236_insert__compr,axiom,
% 7.28/7.41 ! [A_3,B_6] : insert_nat(A_3,B_6) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_237_insert__compr,axiom,
% 7.28/7.41 ! [A_3,B_6] : insert_pname(A_3,B_6) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_238_insert__compr,axiom,
% 7.28/7.41 ! [A_3,B_6] : insert_a(A_3,B_6) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_239_insert__Collect,axiom,
% 7.28/7.41 ! [A_3,Pa] : insert_pname(A_3,collect_pname(Pa)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_3))),Pa)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_240_insert__Collect,axiom,
% 7.28/7.41 ! [A_3,Pa] : insert_fun_nat_bool(A_3,collect_fun_nat_bool(Pa)) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),A_3))),Pa)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_241_insert__Collect,axiom,
% 7.28/7.41 ! [A_3,Pa] : insert1325755072e_bool(A_3,collec1974731493e_bool(Pa)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_3))),Pa)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_242_insert__Collect,axiom,
% 7.28/7.41 ! [A_3,Pa] : insert_fun_a_bool(A_3,collect_fun_a_bool(Pa)) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),A_3))),Pa)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_243_insert__Collect,axiom,
% 7.28/7.41 ! [A_3,Pa] : insert_nat(A_3,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_3))),Pa)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_244_insert__Collect,axiom,
% 7.28/7.41 ! [A_3,Pa] : insert_a(A_3,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_3))),Pa)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_245_insert__absorb2,axiom,
% 7.28/7.41 ! [X_3,A_1] : insert_pname(X_3,insert_pname(X_3,A_1)) = insert_pname(X_3,A_1) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_246_insert__absorb2,axiom,
% 7.28/7.41 ! [X_3,A_1] : insert_nat(X_3,insert_nat(X_3,A_1)) = insert_nat(X_3,A_1) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_247_insert__absorb2,axiom,
% 7.28/7.41 ! [X_3,A_1] : insert_a(X_3,insert_a(X_3,A_1)) = insert_a(X_3,A_1) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_248_insert__commute,axiom,
% 7.28/7.41 ! [X_3,Y_2,A_1] : insert_pname(X_3,insert_pname(Y_2,A_1)) = insert_pname(Y_2,insert_pname(X_3,A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_249_insert__commute,axiom,
% 7.28/7.41 ! [X_3,Y_2,A_1] : insert_nat(X_3,insert_nat(Y_2,A_1)) = insert_nat(Y_2,insert_nat(X_3,A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_250_insert__commute,axiom,
% 7.28/7.41 ! [X_3,Y_2,A_1] : insert_a(X_3,insert_a(Y_2,A_1)) = insert_a(Y_2,insert_a(X_3,A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_251_insert__iff,axiom,
% 7.28/7.41 ! [A_3,B_1,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,A_1)))
% 7.28/7.41 <=> ( A_3 = B_1
% 7.28/7.41 | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_252_insert__iff,axiom,
% 7.28/7.41 ! [A_3,B_1,A_1] :
% 7.28/7.41 ( ( is_pname(A_3)
% 7.28/7.41 & is_pname(B_1) )
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,A_1)))
% 7.28/7.41 <=> ( A_3 = B_1
% 7.28/7.41 | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_253_insert__iff,axiom,
% 7.28/7.41 ! [A_3,B_1,A_1] :
% 7.28/7.41 ( ( is_a(A_3)
% 7.28/7.41 & is_a(B_1) )
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,A_1)))
% 7.28/7.41 <=> ( A_3 = B_1
% 7.28/7.41 | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_254_insert__code,axiom,
% 7.28/7.41 ! [Y_2,A_1,X_3] :
% 7.28/7.41 ( ( is_pname(Y_2)
% 7.28/7.41 & is_pname(X_3) )
% 7.28/7.41 => ( hBOOL(hAPP_pname_bool(insert_pname(Y_2,A_1),X_3))
% 7.28/7.41 <=> ( Y_2 = X_3
% 7.28/7.41 | hBOOL(hAPP_pname_bool(A_1,X_3)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_255_insert__code,axiom,
% 7.28/7.41 ! [Y_2,A_1,X_3] :
% 7.28/7.41 ( hBOOL(hAPP_nat_bool(insert_nat(Y_2,A_1),X_3))
% 7.28/7.41 <=> ( Y_2 = X_3
% 7.28/7.41 | hBOOL(hAPP_nat_bool(A_1,X_3)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_256_insert__code,axiom,
% 7.28/7.41 ! [Y_2,A_1,X_3] :
% 7.28/7.41 ( ( is_a(Y_2)
% 7.28/7.41 & is_a(X_3) )
% 7.28/7.41 => ( hBOOL(hAPP_a_bool(insert_a(Y_2,A_1),X_3))
% 7.28/7.41 <=> ( Y_2 = X_3
% 7.28/7.41 | hBOOL(hAPP_a_bool(A_1,X_3)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_257_insert__ident,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6))
% 7.28/7.41 => ( insert_nat(X_3,A_1) = insert_nat(X_3,B_6)
% 7.28/7.41 <=> A_1 = B_6 ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_258_insert__ident,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( ( is_fun_pname_bool(B_6)
% 7.28/7.41 & is_fun_pname_bool(A_1) )
% 7.28/7.41 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6))
% 7.28/7.41 => ( insert_pname(X_3,A_1) = insert_pname(X_3,B_6)
% 7.28/7.41 <=> A_1 = B_6 ) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_259_insert__ident,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( ( is_fun_a_bool(B_6)
% 7.28/7.41 & is_fun_a_bool(A_1) )
% 7.28/7.41 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))
% 7.28/7.41 => ( insert_a(X_3,A_1) = insert_a(X_3,B_6)
% 7.28/7.41 <=> A_1 = B_6 ) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_260_insertI2,axiom,
% 7.28/7.41 ! [B_1,A_3,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),B_6))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_261_insertI2,axiom,
% 7.28/7.41 ! [B_1,A_3,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),B_6))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_262_insertI2,axiom,
% 7.28/7.41 ! [B_1,A_3,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),B_6))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_263_insert__absorb,axiom,
% 7.28/7.41 ! [A_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1))
% 7.28/7.41 => insert_nat(A_3,A_1) = A_1 ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_264_insert__absorb,axiom,
% 7.28/7.41 ! [A_3,A_1] :
% 7.28/7.41 ( is_fun_pname_bool(A_1)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1))
% 7.28/7.41 => insert_pname(A_3,A_1) = A_1 ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_265_insert__absorb,axiom,
% 7.28/7.41 ! [A_3,A_1] :
% 7.28/7.41 ( is_fun_a_bool(A_1)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1))
% 7.28/7.41 => insert_a(A_3,A_1) = A_1 ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_266_subset__refl,axiom,
% 7.28/7.41 ! [A_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_267_subset__refl,axiom,
% 7.28/7.41 ! [A_1] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_268_subset__refl,axiom,
% 7.28/7.41 ! [A_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_269_set__eq__subset,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( ( is_fun_pname_bool(A_1)
% 7.28/7.41 & is_fun_pname_bool(B_6) )
% 7.28/7.41 => ( A_1 = B_6
% 7.28/7.41 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_270_set__eq__subset,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_271_set__eq__subset,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( ( is_fun_a_bool(A_1)
% 7.28/7.41 & is_fun_a_bool(B_6) )
% 7.28/7.41 => ( A_1 = B_6
% 7.28/7.41 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_272_equalityD1,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_273_equalityD1,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_274_equalityD1,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_275_equalityD2,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_276_equalityD2,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_277_equalityD2,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_278_in__mono,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_279_in__mono,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_280_in__mono,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_281_set__rev__mp,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_282_set__rev__mp,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_283_set__rev__mp,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_284_set__mp,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_285_set__mp,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_286_set__mp,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_287_mem__def,axiom,
% 7.28/7.41 ! [X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 <=> hBOOL(hAPP_nat_bool(A_1,X_3)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_288_mem__def,axiom,
% 7.28/7.41 ! [X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 <=> hBOOL(hAPP_pname_bool(A_1,X_3)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_289_mem__def,axiom,
% 7.28/7.41 ! [X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 <=> hBOOL(hAPP_a_bool(A_1,X_3)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_290_Collect__def,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( is_fun_a_bool(Pa)
% 7.28/7.41 => collect_a(Pa) = Pa ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_291_Collect__def,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( is_fun_pname_bool(Pa)
% 7.28/7.41 => collect_pname(Pa) = Pa ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_292_Collect__def,axiom,
% 7.28/7.41 ! [Pa] : collect_fun_nat_bool(Pa) = Pa ).
% 7.28/7.41
% 7.28/7.41 fof(fact_293_Collect__def,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( is_fun1661590463l_bool(Pa)
% 7.28/7.41 => collec1974731493e_bool(Pa) = Pa ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_294_Collect__def,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( is_fun949378684l_bool(Pa)
% 7.28/7.41 => collect_fun_a_bool(Pa) = Pa ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_295_Collect__def,axiom,
% 7.28/7.41 ! [Pa] : collect_nat(Pa) = Pa ).
% 7.28/7.41
% 7.28/7.41 fof(fact_296_subset__trans,axiom,
% 7.28/7.41 ! [C_6,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),C_6))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),C_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_297_subset__trans,axiom,
% 7.28/7.41 ! [C_6,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),C_6))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),C_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_298_subset__trans,axiom,
% 7.28/7.41 ! [C_6,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),C_6))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),C_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_299_equalityE,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_300_equalityE,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_301_equalityE,axiom,
% 7.28/7.41 ! [A_1,B_6] :
% 7.28/7.41 ( A_1 = B_6
% 7.28/7.41 => ~ ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_302_image__iff,axiom,
% 7.28/7.41 ! [Z_1,F,A_1] :
% 7.28/7.41 ( is_a(Z_1)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_1),image_pname_a(F,A_1)))
% 7.28/7.41 <=> ? [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 & Z_1 = hAPP_pname_a(F,X_1) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_303_imageI,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(F,X_3)),image_pname_nat(F,A_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_304_imageI,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(F,X_3)),image_a_nat(F,A_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_305_imageI,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(F,X_3)),image_nat_pname(F,A_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_306_imageI,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(F,X_3)),image_nat_a(F,A_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_307_imageI,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_3)),image_pname_a(F,A_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_308_rev__image__eqI,axiom,
% 7.28/7.41 ! [B_1,F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => ( B_1 = hAPP_pname_nat(F,X_3)
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_309_rev__image__eqI,axiom,
% 7.28/7.41 ! [B_1,F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => ( B_1 = hAPP_a_nat(F,X_3)
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_310_rev__image__eqI,axiom,
% 7.28/7.41 ! [B_1,F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => ( B_1 = hAPP_nat_pname(F,X_3)
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_311_rev__image__eqI,axiom,
% 7.28/7.41 ! [B_1,F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => ( B_1 = hAPP_nat_a(F,X_3)
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_312_rev__image__eqI,axiom,
% 7.28/7.41 ! [B_1,F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => ( B_1 = hAPP_pname_a(F,X_3)
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_313_insert__compr__raw,axiom,
% 7.28/7.41 ! [X_1,Xa] : insert_fun_nat_bool(X_1,Xa) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X_1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),Xa))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_314_insert__compr__raw,axiom,
% 7.28/7.41 ! [X_1,Xa] : insert1325755072e_bool(X_1,Xa) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X_1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),Xa))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_315_insert__compr__raw,axiom,
% 7.28/7.41 ! [X_1,Xa] : insert_fun_a_bool(X_1,Xa) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X_1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),Xa))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_316_insert__compr__raw,axiom,
% 7.28/7.41 ! [X_1,Xa] : insert_nat(X_1,Xa) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),Xa))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_317_insert__compr__raw,axiom,
% 7.28/7.41 ! [X_1,Xa] : insert_pname(X_1,Xa) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X_1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),Xa))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_318_insert__compr__raw,axiom,
% 7.28/7.41 ! [X_1,Xa] : insert_a(X_1,Xa) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X_1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Xa))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_319_subset__insertI,axiom,
% 7.28/7.41 ! [B_6,A_3] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),insert_pname(A_3,B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_320_subset__insertI,axiom,
% 7.28/7.41 ! [B_6,A_3] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),insert_nat(A_3,B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_321_subset__insertI,axiom,
% 7.28/7.41 ! [B_6,A_3] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),insert_a(A_3,B_6))) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_322_insert__subset,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X_3,A_1)),B_6))
% 7.28/7.41 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6))
% 7.28/7.41 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_323_insert__subset,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X_3,A_1)),B_6))
% 7.28/7.41 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6))
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_324_insert__subset,axiom,
% 7.28/7.41 ! [X_3,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))
% 7.28/7.41 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_325_subset__insert,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(X_3,B_6)))
% 7.28/7.41 <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_326_subset__insert,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(X_3,B_6)))
% 7.28/7.41 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_327_subset__insert,axiom,
% 7.28/7.41 ! [B_6,X_3,A_1] :
% 7.28/7.41 ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(X_3,B_6)))
% 7.28/7.41 <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_328_subset__insertI2,axiom,
% 7.28/7.41 ! [B_1,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_329_subset__insertI2,axiom,
% 7.28/7.41 ! [B_1,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_330_subset__insertI2,axiom,
% 7.28/7.41 ! [B_1,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(B_1,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_331_insert__mono,axiom,
% 7.28/7.41 ! [A_3,C_6,D_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_6),D_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(A_3,C_6)),insert_pname(A_3,D_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_332_insert__mono,axiom,
% 7.28/7.41 ! [A_3,C_6,D_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),D_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(A_3,C_6)),insert_nat(A_3,D_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_333_insert__mono,axiom,
% 7.28/7.41 ! [A_3,C_6,D_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),D_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(A_3,C_6)),insert_a(A_3,D_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_334_image__insert,axiom,
% 7.28/7.41 ! [F,A_3,B_6] : image_a_pname(F,insert_a(A_3,B_6)) = insert_pname(hAPP_a_pname(F,A_3),image_a_pname(F,B_6)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_335_image__insert,axiom,
% 7.28/7.41 ! [F,A_3,B_6] : image_a_nat(F,insert_a(A_3,B_6)) = insert_nat(hAPP_a_nat(F,A_3),image_a_nat(F,B_6)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_336_image__insert,axiom,
% 7.28/7.41 ! [F,A_3,B_6] : image_nat_a(F,insert_nat(A_3,B_6)) = insert_a(hAPP_nat_a(F,A_3),image_nat_a(F,B_6)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_337_image__insert,axiom,
% 7.28/7.41 ! [F,A_3,B_6] : image_pname_a(F,insert_pname(A_3,B_6)) = insert_a(hAPP_pname_a(F,A_3),image_pname_a(F,B_6)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_338_insert__image,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => insert_pname(hAPP_pname_pname(F,X_3),image_pname_pname(F,A_1)) = image_pname_pname(F,A_1) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_339_insert__image,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => insert_nat(hAPP_pname_nat(F,X_3),image_pname_nat(F,A_1)) = image_pname_nat(F,A_1) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_340_insert__image,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => insert_pname(hAPP_a_pname(F,X_3),image_a_pname(F,A_1)) = image_a_pname(F,A_1) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_341_insert__image,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
% 7.28/7.41 => insert_nat(hAPP_a_nat(F,X_3),image_a_nat(F,A_1)) = image_a_nat(F,A_1) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_342_insert__image,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))
% 7.28/7.41 => insert_a(hAPP_nat_a(F,X_3),image_nat_a(F,A_1)) = image_nat_a(F,A_1) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_343_insert__image,axiom,
% 7.28/7.41 ! [F,X_3,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.41 => insert_a(hAPP_pname_a(F,X_3),image_pname_a(F,A_1)) = image_pname_a(F,A_1) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_344_subset__image__iff,axiom,
% 7.28/7.41 ! [B_6,F,A_1] :
% 7.28/7.41 ( is_fun_a_bool(B_6)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))
% 7.28/7.41 <=> ? [AA] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,AA),A_1))
% 7.28/7.41 & B_6 = image_nat_a(F,AA) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_345_subset__image__iff,axiom,
% 7.28/7.41 ! [B_6,F,A_1] :
% 7.28/7.41 ( is_fun_pname_bool(B_6)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))
% 7.28/7.41 <=> ? [AA] :
% 7.28/7.41 ( is_fun_a_bool(AA)
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,AA),A_1))
% 7.28/7.41 & B_6 = image_a_pname(F,AA) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_346_subset__image__iff,axiom,
% 7.28/7.41 ! [B_6,F,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))
% 7.28/7.41 <=> ? [AA] :
% 7.28/7.41 ( is_fun_a_bool(AA)
% 7.28/7.41 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,AA),A_1))
% 7.28/7.41 & B_6 = image_a_nat(F,AA) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_347_subset__image__iff,axiom,
% 7.28/7.41 ! [B_6,F,A_1] :
% 7.28/7.41 ( is_fun_a_bool(B_6)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))
% 7.28/7.41 <=> ? [AA] :
% 7.28/7.41 ( is_fun_pname_bool(AA)
% 7.28/7.41 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A_1))
% 7.28/7.41 & B_6 = image_pname_a(F,AA) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_348_image__mono,axiom,
% 7.28/7.41 ! [F,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(F,A_1)),image_a_pname(F,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_349_image__mono,axiom,
% 7.28/7.41 ! [F,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(F,A_1)),image_a_nat(F,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_350_image__mono,axiom,
% 7.28/7.41 ! [F,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(F,A_1)),image_nat_a(F,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_351_image__mono,axiom,
% 7.28/7.41 ! [F,A_1,B_6] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A_1)),image_pname_a(F,B_6))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_352_imageE,axiom,
% 7.28/7.41 ! [B_1,F,A_1] :
% 7.28/7.41 ( is_pname(B_1)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1)))
% 7.28/7.41 => ~ ! [X_1] :
% 7.28/7.41 ( B_1 = hAPP_nat_pname(F,X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_353_imageE,axiom,
% 7.28/7.41 ! [B_1,F,A_1] :
% 7.28/7.41 ( is_a(B_1)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1)))
% 7.28/7.41 => ~ ! [X_1] :
% 7.28/7.41 ( B_1 = hAPP_nat_a(F,X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_354_imageE,axiom,
% 7.28/7.41 ! [B_1,F,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1)))
% 7.28/7.41 => ~ ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ( B_1 = hAPP_pname_nat(F,X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_355_imageE,axiom,
% 7.28/7.41 ! [B_1,F,A_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1)))
% 7.28/7.41 => ~ ! [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 => ( B_1 = hAPP_a_nat(F,X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1)) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_356_imageE,axiom,
% 7.28/7.41 ! [B_1,F,A_1] :
% 7.28/7.41 ( is_a(B_1)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1)))
% 7.28/7.41 => ~ ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ( B_1 = hAPP_pname_a(F,X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1)) ) ) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_357_subsetI,axiom,
% 7.28/7.41 ! [B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B_6)) )
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_358_subsetI,axiom,
% 7.28/7.41 ! [B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B_6)) ) )
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_359_subsetI,axiom,
% 7.28/7.41 ! [B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B_6)) ) )
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_360_image__subsetI,axiom,
% 7.28/7.41 ! [F,B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(F,X_1)),B_6)) ) )
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(F,A_1)),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_361_image__subsetI,axiom,
% 7.28/7.41 ! [F,B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(F,X_1)),B_6)) ) )
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(F,A_1)),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_362_image__subsetI,axiom,
% 7.28/7.41 ! [F,B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(F,X_1)),B_6)) ) )
% 7.28/7.41 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(F,A_1)),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_363_image__subsetI,axiom,
% 7.28/7.41 ! [F,B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_a_pname(F,X_1)),B_6)) ) )
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(F,A_1)),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_364_image__subsetI,axiom,
% 7.28/7.41 ! [F,B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(F,X_1)),B_6)) )
% 7.28/7.41 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(F,A_1)),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_365_image__subsetI,axiom,
% 7.28/7.41 ! [F,B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(F,X_1)),B_6)) )
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(F,A_1)),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_366_image__subsetI,axiom,
% 7.28/7.41 ! [F,B_6,A_1] :
% 7.28/7.41 ( ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_1)),B_6)) ) )
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A_1)),B_6)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_367_order__refl,axiom,
% 7.28/7.41 ! [X_3] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_3),X_3)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_368_order__refl,axiom,
% 7.28/7.41 ! [X_3] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),X_3)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_369_order__refl,axiom,
% 7.28/7.41 ! [X_3] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),X_3)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_370_order__refl,axiom,
% 7.28/7.41 ! [X_3] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),X_3)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_371_order__refl,axiom,
% 7.28/7.41 ! [X_10] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_10),X_10)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_372_finite__nat__set__iff__bounded__le,axiom,
% 7.28/7.41 ! [N_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))
% 7.28/7.41 <=> ? [M_2] :
% 7.28/7.41 ! [X_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_1))
% 7.28/7.41 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),M_2)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_373_assms_I3_J,axiom,
% 7.28/7.41 ! [G,C_1] :
% 7.28/7.41 ( hBOOL(wt(C_1))
% 7.28/7.41 => ( ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),u))
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(hAPP_pname_a(mgt_call,X_1),bot_bot_fun_a_bool))) ) )
% 7.28/7.41 => hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(mgt(C_1),bot_bot_fun_a_bool))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_374_le__fun__def,axiom,
% 7.28/7.41 ! [F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(F,X_1)),hAPP_pname_bool(G_1,X_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_375_le__fun__def,axiom,
% 7.28/7.41 ! [F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))
% 7.28/7.41 <=> ! [X_1] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_376_le__fun__def,axiom,
% 7.28/7.41 ! [F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1))) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_377_le__funD,axiom,
% 7.28/7.41 ! [X_3,F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))
% 7.28/7.41 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(F,X_3)),hAPP_pname_bool(G_1,X_3))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_378_le__funD,axiom,
% 7.28/7.41 ! [X_3,F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))
% 7.28/7.41 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_3)),hAPP_nat_bool(G_1,X_3))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_379_le__funD,axiom,
% 7.28/7.41 ! [X_3,F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))
% 7.28/7.41 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_3)),hAPP_a_bool(G_1,X_3))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_380_le__funE,axiom,
% 7.28/7.41 ! [X_3,F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))
% 7.28/7.41 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(F,X_3)),hAPP_pname_bool(G_1,X_3))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_381_le__funE,axiom,
% 7.28/7.41 ! [X_3,F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))
% 7.28/7.41 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_3)),hAPP_nat_bool(G_1,X_3))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_382_le__funE,axiom,
% 7.28/7.41 ! [X_3,F,G_1] :
% 7.28/7.41 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))
% 7.28/7.41 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_3)),hAPP_a_bool(G_1,X_3))) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_383_emptyE,axiom,
% 7.28/7.41 ! [A_3] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),bot_bot_fun_nat_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_384_emptyE,axiom,
% 7.28/7.41 ! [A_3] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),bot_bo844097828e_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_385_emptyE,axiom,
% 7.28/7.41 ! [A_3] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),bot_bot_fun_a_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_386_finite_OemptyI,axiom,
% 7.28/7.41 hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,bot_bo1701429464l_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_387_finite_OemptyI,axiom,
% 7.28/7.41 hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_388_finite_OemptyI,axiom,
% 7.28/7.41 hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,bot_bo1389914601l_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_389_finite_OemptyI,axiom,
% 7.28/7.41 hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_390_finite_OemptyI,axiom,
% 7.28/7.41 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_391_finite_OemptyI,axiom,
% 7.28/7.41 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_392_empty__subsetI,axiom,
% 7.28/7.41 ! [A_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_393_empty__subsetI,axiom,
% 7.28/7.41 ! [A_1] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_394_empty__subsetI,axiom,
% 7.28/7.41 ! [A_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_1)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_395_equals0D,axiom,
% 7.28/7.41 ! [A_3,A_1] :
% 7.28/7.41 ( A_1 = bot_bot_fun_nat_bool
% 7.28/7.41 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_396_equals0D,axiom,
% 7.28/7.41 ! [A_3,A_1] :
% 7.28/7.41 ( A_1 = bot_bo844097828e_bool
% 7.28/7.41 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_397_equals0D,axiom,
% 7.28/7.41 ! [A_3,A_1] :
% 7.28/7.41 ( A_1 = bot_bot_fun_a_bool
% 7.28/7.41 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_398_Collect__empty__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( collect_pname(Pa) = bot_bo844097828e_bool
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_pname_bool(Pa,X_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_399_Collect__empty__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( collect_fun_nat_bool(Pa) = bot_bo1701429464l_bool
% 7.28/7.41 <=> ! [X_1] : ~ hBOOL(hAPP_f54304608l_bool(Pa,X_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_400_Collect__empty__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( collec1974731493e_bool(Pa) = bot_bo1649642514l_bool
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_fun_pname_bool(X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_f1664156314l_bool(Pa,X_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_401_Collect__empty__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( collect_fun_a_bool(Pa) = bot_bo1389914601l_bool
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_fun_a_bool(X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_fun_a_bool_bool(Pa,X_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_402_Collect__empty__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( collect_a(Pa) = bot_bot_fun_a_bool
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_a(X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_a_bool(Pa,X_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_403_Collect__empty__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( collect_nat(Pa) = bot_bot_fun_nat_bool
% 7.28/7.41 <=> ! [X_1] : ~ hBOOL(hAPP_nat_bool(Pa,X_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_404_empty__iff,axiom,
% 7.28/7.41 ! [C_1] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),bot_bot_fun_nat_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_405_empty__iff,axiom,
% 7.28/7.41 ! [C_1] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),bot_bo844097828e_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_406_empty__iff,axiom,
% 7.28/7.41 ! [C_1] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),bot_bot_fun_a_bool)) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_407_empty__Collect__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( bot_bo844097828e_bool = collect_pname(Pa)
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_pname(X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_pname_bool(Pa,X_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_408_empty__Collect__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( bot_bo1701429464l_bool = collect_fun_nat_bool(Pa)
% 7.28/7.41 <=> ! [X_1] : ~ hBOOL(hAPP_f54304608l_bool(Pa,X_1)) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_409_empty__Collect__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( bot_bo1649642514l_bool = collec1974731493e_bool(Pa)
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_fun_pname_bool(X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_f1664156314l_bool(Pa,X_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_410_empty__Collect__eq,axiom,
% 7.28/7.41 ! [Pa] :
% 7.28/7.41 ( bot_bo1389914601l_bool = collect_fun_a_bool(Pa)
% 7.28/7.41 <=> ! [X_1] :
% 7.28/7.41 ( is_fun_a_bool(X_1)
% 7.28/7.41 => ~ hBOOL(hAPP_fun_a_bool_bool(Pa,X_1)) ) ) ).
% 7.28/7.41
% 7.28/7.41 fof(fact_411_empty__Collect__eq,axiom,
% 7.28/7.42 ! [Pa] :
% 7.28/7.42 ( bot_bot_fun_a_bool = collect_a(Pa)
% 7.28/7.42 <=> ! [X_1] :
% 7.28/7.42 ( is_a(X_1)
% 7.28/7.42 => ~ hBOOL(hAPP_a_bool(Pa,X_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_412_empty__Collect__eq,axiom,
% 7.28/7.42 ! [Pa] :
% 7.28/7.42 ( bot_bot_fun_nat_bool = collect_nat(Pa)
% 7.28/7.42 <=> ! [X_1] : ~ hBOOL(hAPP_nat_bool(Pa,X_1)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_413_ex__in__conv,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( ? [X_1] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.42 <=> A_1 != bot_bot_fun_nat_bool ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_414_ex__in__conv,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( is_fun_pname_bool(A_1)
% 7.28/7.42 => ( ? [X_1] :
% 7.28/7.42 ( is_pname(X_1)
% 7.28/7.42 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1)) )
% 7.28/7.42 <=> A_1 != bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_415_ex__in__conv,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( is_fun_a_bool(A_1)
% 7.28/7.42 => ( ? [X_1] :
% 7.28/7.42 ( is_a(X_1)
% 7.28/7.42 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1)) )
% 7.28/7.42 <=> A_1 != bot_bot_fun_a_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_416_all__not__in__conv,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( ! [X_1] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))
% 7.28/7.42 <=> A_1 = bot_bot_fun_nat_bool ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_417_all__not__in__conv,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( is_fun_pname_bool(A_1)
% 7.28/7.42 => ( ! [X_1] :
% 7.28/7.42 ( is_pname(X_1)
% 7.28/7.42 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1)) )
% 7.28/7.42 <=> A_1 = bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_418_all__not__in__conv,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( is_fun_a_bool(A_1)
% 7.28/7.42 => ( ! [X_1] :
% 7.28/7.42 ( is_a(X_1)
% 7.28/7.42 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1)) )
% 7.28/7.42 <=> A_1 = bot_bot_fun_a_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_419_empty__def,axiom,
% 7.28/7.42 bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_420_empty__def,axiom,
% 7.28/7.42 bot_bo1701429464l_bool = collect_fun_nat_bool(cOMBK_1994329625t_bool(fFalse)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_421_empty__def,axiom,
% 7.28/7.42 bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_422_empty__def,axiom,
% 7.28/7.42 bot_bo1389914601l_bool = collect_fun_a_bool(cOMBK_324466864a_bool(fFalse)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_423_empty__def,axiom,
% 7.28/7.42 bot_bot_fun_a_bool = collect_a(cOMBK_bool_a(fFalse)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_424_empty__def,axiom,
% 7.28/7.42 bot_bot_fun_nat_bool = collect_nat(cOMBK_bool_nat(fFalse)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_425_bot__fun__def,axiom,
% 7.28/7.42 ! [X_1] :
% 7.28/7.42 ( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_1))
% 7.28/7.42 <=> hBOOL(bot_bot_bool) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_426_bot__fun__def,axiom,
% 7.28/7.42 ! [X_1] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1))
% 7.28/7.42 <=> hBOOL(bot_bot_bool) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_427_bot__fun__def,axiom,
% 7.28/7.42 ! [X_1] :
% 7.28/7.42 ( hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1))
% 7.28/7.42 <=> hBOOL(bot_bot_bool) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_428_bot__apply,axiom,
% 7.28/7.42 ! [X_3] :
% 7.28/7.42 ( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_3))
% 7.28/7.42 <=> hBOOL(bot_bot_bool) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_429_bot__apply,axiom,
% 7.28/7.42 ! [X_3] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_3))
% 7.28/7.42 <=> hBOOL(bot_bot_bool) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_430_bot__apply,axiom,
% 7.28/7.42 ! [X_3] :
% 7.28/7.42 ( hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_3))
% 7.28/7.42 <=> hBOOL(bot_bot_bool) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_431_le__bot,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( is_fun_pname_bool(A_3)
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),bot_bo844097828e_bool))
% 7.28/7.42 => A_3 = bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_432_le__bot,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,A_3),bot_bot_bool))
% 7.28/7.42 => ( hBOOL(A_3)
% 7.28/7.42 <=> hBOOL(bot_bot_bool) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_433_le__bot,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),bot_bot_fun_nat_bool))
% 7.28/7.42 => A_3 = bot_bot_fun_nat_bool ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_434_le__bot,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( is_fun_a_bool(A_3)
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),bot_bot_fun_a_bool))
% 7.28/7.42 => A_3 = bot_bot_fun_a_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_435_le__bot,axiom,
% 7.28/7.42 ! [A_9] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_9),bot_bot_nat))
% 7.28/7.42 => A_9 = bot_bot_nat ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_436_bot__unique,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( is_fun_pname_bool(A_3)
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),bot_bo844097828e_bool))
% 7.28/7.42 <=> A_3 = bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_437_bot__unique,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,A_3),bot_bot_bool))
% 7.28/7.42 <=> ( hBOOL(A_3)
% 7.28/7.42 <=> hBOOL(bot_bot_bool) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_438_bot__unique,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),bot_bot_fun_nat_bool))
% 7.28/7.42 <=> A_3 = bot_bot_fun_nat_bool ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_439_bot__unique,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( is_fun_a_bool(A_3)
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),bot_bot_fun_a_bool))
% 7.28/7.42 <=> A_3 = bot_bot_fun_a_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_440_bot__unique,axiom,
% 7.28/7.42 ! [A_3] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_3),bot_bot_nat))
% 7.28/7.42 <=> A_3 = bot_bot_nat ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_441_bot__least,axiom,
% 7.28/7.42 ! [A_3] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A_3)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_442_bot__least,axiom,
% 7.28/7.42 ! [A_3] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),A_3)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_443_bot__least,axiom,
% 7.28/7.42 ! [A_3] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_3)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_444_bot__least,axiom,
% 7.28/7.42 ! [A_3] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_3)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_445_bot__least,axiom,
% 7.28/7.42 ! [A_8] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,bot_bot_nat),A_8)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_446_singleton__inject,axiom,
% 7.28/7.42 ! [A_3,B_1] :
% 7.28/7.42 ( ( is_pname(A_3)
% 7.28/7.42 & is_pname(B_1) )
% 7.28/7.42 => ( insert_pname(A_3,bot_bo844097828e_bool) = insert_pname(B_1,bot_bo844097828e_bool)
% 7.28/7.42 => A_3 = B_1 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_447_singleton__inject,axiom,
% 7.28/7.42 ! [A_3,B_1] :
% 7.28/7.42 ( insert_nat(A_3,bot_bot_fun_nat_bool) = insert_nat(B_1,bot_bot_fun_nat_bool)
% 7.28/7.42 => A_3 = B_1 ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_448_singleton__inject,axiom,
% 7.28/7.42 ! [A_3,B_1] :
% 7.28/7.42 ( ( is_a(A_3)
% 7.28/7.42 & is_a(B_1) )
% 7.28/7.42 => ( insert_a(A_3,bot_bot_fun_a_bool) = insert_a(B_1,bot_bot_fun_a_bool)
% 7.28/7.42 => A_3 = B_1 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_449_singletonE,axiom,
% 7.28/7.42 ! [B_1,A_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),insert_nat(A_3,bot_bot_fun_nat_bool)))
% 7.28/7.42 => B_1 = A_3 ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_450_singletonE,axiom,
% 7.28/7.42 ! [B_1,A_3] :
% 7.28/7.42 ( ( is_pname(B_1)
% 7.28/7.42 & is_pname(A_3) )
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_3,bot_bo844097828e_bool)))
% 7.28/7.42 => B_1 = A_3 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_451_singletonE,axiom,
% 7.28/7.42 ! [B_1,A_3] :
% 7.28/7.42 ( ( is_a(B_1)
% 7.28/7.42 & is_a(A_3) )
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),insert_a(A_3,bot_bot_fun_a_bool)))
% 7.28/7.42 => B_1 = A_3 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_452_doubleton__eq__iff,axiom,
% 7.28/7.42 ! [A_3,B_1,C_1,D] :
% 7.28/7.42 ( ( is_pname(A_3)
% 7.28/7.42 & is_pname(B_1)
% 7.28/7.42 & is_pname(C_1)
% 7.28/7.42 & is_pname(D) )
% 7.28/7.42 => ( insert_pname(A_3,insert_pname(B_1,bot_bo844097828e_bool)) = insert_pname(C_1,insert_pname(D,bot_bo844097828e_bool))
% 7.28/7.42 <=> ( ( A_3 = C_1
% 7.28/7.42 & B_1 = D )
% 7.28/7.42 | ( A_3 = D
% 7.28/7.42 & B_1 = C_1 ) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_453_doubleton__eq__iff,axiom,
% 7.28/7.42 ! [A_3,B_1,C_1,D] :
% 7.28/7.42 ( insert_nat(A_3,insert_nat(B_1,bot_bot_fun_nat_bool)) = insert_nat(C_1,insert_nat(D,bot_bot_fun_nat_bool))
% 7.28/7.42 <=> ( ( A_3 = C_1
% 7.28/7.42 & B_1 = D )
% 7.28/7.42 | ( A_3 = D
% 7.28/7.42 & B_1 = C_1 ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_454_doubleton__eq__iff,axiom,
% 7.28/7.42 ! [A_3,B_1,C_1,D] :
% 7.28/7.42 ( ( is_a(A_3)
% 7.28/7.42 & is_a(B_1)
% 7.28/7.42 & is_a(C_1)
% 7.28/7.42 & is_a(D) )
% 7.28/7.42 => ( insert_a(A_3,insert_a(B_1,bot_bot_fun_a_bool)) = insert_a(C_1,insert_a(D,bot_bot_fun_a_bool))
% 7.28/7.42 <=> ( ( A_3 = C_1
% 7.28/7.42 & B_1 = D )
% 7.28/7.42 | ( A_3 = D
% 7.28/7.42 & B_1 = C_1 ) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_455_singleton__iff,axiom,
% 7.28/7.42 ! [B_1,A_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),insert_nat(A_3,bot_bot_fun_nat_bool)))
% 7.28/7.42 <=> B_1 = A_3 ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_456_singleton__iff,axiom,
% 7.28/7.42 ! [B_1,A_3] :
% 7.28/7.42 ( ( is_pname(B_1)
% 7.28/7.42 & is_pname(A_3) )
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_3,bot_bo844097828e_bool)))
% 7.28/7.42 <=> B_1 = A_3 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_457_singleton__iff,axiom,
% 7.28/7.42 ! [B_1,A_3] :
% 7.28/7.42 ( ( is_a(B_1)
% 7.28/7.42 & is_a(A_3) )
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),insert_a(A_3,bot_bot_fun_a_bool)))
% 7.28/7.42 <=> B_1 = A_3 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_458_insert__not__empty,axiom,
% 7.28/7.42 ! [A_3,A_1] : insert_pname(A_3,A_1) != bot_bo844097828e_bool ).
% 7.28/7.42
% 7.28/7.42 fof(fact_459_insert__not__empty,axiom,
% 7.28/7.42 ! [A_3,A_1] : insert_nat(A_3,A_1) != bot_bot_fun_nat_bool ).
% 7.28/7.42
% 7.28/7.42 fof(fact_460_insert__not__empty,axiom,
% 7.28/7.42 ! [A_3,A_1] : insert_a(A_3,A_1) != bot_bot_fun_a_bool ).
% 7.28/7.42
% 7.28/7.42 fof(fact_461_empty__not__insert,axiom,
% 7.28/7.42 ! [A_3,A_1] : bot_bo844097828e_bool != insert_pname(A_3,A_1) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_462_empty__not__insert,axiom,
% 7.28/7.42 ! [A_3,A_1] : bot_bot_fun_nat_bool != insert_nat(A_3,A_1) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_463_empty__not__insert,axiom,
% 7.28/7.42 ! [A_3,A_1] : bot_bot_fun_a_bool != insert_a(A_3,A_1) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_464_subset__empty,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),bot_bot_fun_nat_bool))
% 7.28/7.42 <=> A_1 = bot_bot_fun_nat_bool ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_465_subset__empty,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( is_fun_pname_bool(A_1)
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),bot_bo844097828e_bool))
% 7.28/7.42 <=> A_1 = bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_466_subset__empty,axiom,
% 7.28/7.42 ! [A_1] :
% 7.28/7.42 ( is_fun_a_bool(A_1)
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),bot_bot_fun_a_bool))
% 7.28/7.42 <=> A_1 = bot_bot_fun_a_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_467_image__is__empty,axiom,
% 7.28/7.42 ! [F,A_1] :
% 7.28/7.42 ( is_fun_pname_bool(A_1)
% 7.28/7.42 => ( image_pname_a(F,A_1) = bot_bot_fun_a_bool
% 7.28/7.42 <=> A_1 = bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_468_image__empty,axiom,
% 7.28/7.42 ! [F] : image_pname_a(F,bot_bo844097828e_bool) = bot_bot_fun_a_bool ).
% 7.28/7.42
% 7.28/7.42 fof(fact_469_empty__is__image,axiom,
% 7.28/7.42 ! [F,A_1] :
% 7.28/7.42 ( is_fun_pname_bool(A_1)
% 7.28/7.42 => ( bot_bot_fun_a_bool = image_pname_a(F,A_1)
% 7.28/7.42 <=> A_1 = bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_470_Collect__conv__if,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_nat_bool(Pa,A_3))
% 7.28/7.42 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_3)),Pa)) = insert_nat(A_3,bot_bot_fun_nat_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_nat_bool(Pa,A_3))
% 7.28/7.42 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_3)),Pa)) = bot_bot_fun_nat_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_471_Collect__conv__if,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_pname_bool(Pa,A_3))
% 7.28/7.42 => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_3)),Pa)) = insert_pname(A_3,bot_bo844097828e_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_pname_bool(Pa,A_3))
% 7.28/7.42 => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_3)),Pa)) = bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_472_Collect__conv__if,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_a_bool(Pa,A_3))
% 7.28/7.42 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_3)),Pa)) = insert_a(A_3,bot_bot_fun_a_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_a_bool(Pa,A_3))
% 7.28/7.42 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_3)),Pa)) = bot_bot_fun_a_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_473_Collect__conv__if,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_f54304608l_bool(Pa,A_3))
% 7.28/7.42 => collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),A_3)),Pa)) = insert_fun_nat_bool(A_3,bot_bo1701429464l_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_f54304608l_bool(Pa,A_3))
% 7.28/7.42 => collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),A_3)),Pa)) = bot_bo1701429464l_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_474_Collect__conv__if,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_f1664156314l_bool(Pa,A_3))
% 7.28/7.42 => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_3)),Pa)) = insert1325755072e_bool(A_3,bot_bo1649642514l_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_f1664156314l_bool(Pa,A_3))
% 7.28/7.42 => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_3)),Pa)) = bot_bo1649642514l_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_475_Collect__conv__if,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))
% 7.28/7.42 => collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),A_3)),Pa)) = insert_fun_a_bool(A_3,bot_bo1389914601l_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))
% 7.28/7.42 => collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),A_3)),Pa)) = bot_bo1389914601l_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_476_Collect__conv__if2,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_nat_bool(Pa,A_3))
% 7.28/7.42 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,A_3)),Pa)) = insert_nat(A_3,bot_bot_fun_nat_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_nat_bool(Pa,A_3))
% 7.28/7.42 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,A_3)),Pa)) = bot_bot_fun_nat_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_477_Collect__conv__if2,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_pname_bool(Pa,A_3))
% 7.28/7.42 => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,A_3)),Pa)) = insert_pname(A_3,bot_bo844097828e_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_pname_bool(Pa,A_3))
% 7.28/7.42 => collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,A_3)),Pa)) = bot_bo844097828e_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_478_Collect__conv__if2,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_a_bool(Pa,A_3))
% 7.28/7.42 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,A_3)),Pa)) = insert_a(A_3,bot_bot_fun_a_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_a_bool(Pa,A_3))
% 7.28/7.42 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,A_3)),Pa)) = bot_bot_fun_a_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_479_Collect__conv__if2,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_f54304608l_bool(Pa,A_3))
% 7.28/7.42 => collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,A_3)),Pa)) = insert_fun_nat_bool(A_3,bot_bo1701429464l_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_f54304608l_bool(Pa,A_3))
% 7.28/7.42 => collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,A_3)),Pa)) = bot_bo1701429464l_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_480_Collect__conv__if2,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_f1664156314l_bool(Pa,A_3))
% 7.28/7.42 => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,A_3)),Pa)) = insert1325755072e_bool(A_3,bot_bo1649642514l_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_f1664156314l_bool(Pa,A_3))
% 7.28/7.42 => collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,A_3)),Pa)) = bot_bo1649642514l_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_481_Collect__conv__if2,axiom,
% 7.28/7.42 ! [Pa,A_3] :
% 7.28/7.42 ( ( hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))
% 7.28/7.42 => collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,A_3)),Pa)) = insert_fun_a_bool(A_3,bot_bo1389914601l_bool) )
% 7.28/7.42 & ( ~ hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))
% 7.28/7.42 => collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,A_3)),Pa)) = bot_bo1389914601l_bool ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_482_singleton__conv,axiom,
% 7.28/7.42 ! [A_3] : collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_3)) = insert_nat(A_3,bot_bot_fun_nat_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_483_singleton__conv,axiom,
% 7.28/7.42 ! [A_3] : collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_3)) = insert_pname(A_3,bot_bo844097828e_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_484_singleton__conv,axiom,
% 7.28/7.42 ! [A_3] : collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_3)) = insert_a(A_3,bot_bot_fun_a_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_485_singleton__conv,axiom,
% 7.28/7.42 ! [A_3] : collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),A_3)) = insert_fun_nat_bool(A_3,bot_bo1701429464l_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_486_singleton__conv,axiom,
% 7.28/7.42 ! [A_3] : collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),A_3)) = insert1325755072e_bool(A_3,bot_bo1649642514l_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_487_singleton__conv,axiom,
% 7.28/7.42 ! [A_3] : collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),A_3)) = insert_fun_a_bool(A_3,bot_bo1389914601l_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_488_singleton__conv2,axiom,
% 7.28/7.42 ! [A_3] : collect_nat(hAPP_n1699378549t_bool(fequal_nat,A_3)) = insert_nat(A_3,bot_bot_fun_nat_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_489_singleton__conv2,axiom,
% 7.28/7.42 ! [A_3] : collect_pname(hAPP_p61793385e_bool(fequal_pname,A_3)) = insert_pname(A_3,bot_bo844097828e_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_490_singleton__conv2,axiom,
% 7.28/7.42 ! [A_3] : collect_a(hAPP_a_fun_a_bool(fequal_a,A_3)) = insert_a(A_3,bot_bot_fun_a_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_491_singleton__conv2,axiom,
% 7.28/7.42 ! [A_3] : collect_fun_nat_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,A_3)) = insert_fun_nat_bool(A_3,bot_bo1701429464l_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_492_singleton__conv2,axiom,
% 7.28/7.42 ! [A_3] : collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,A_3)) = insert1325755072e_bool(A_3,bot_bo1649642514l_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_493_singleton__conv2,axiom,
% 7.28/7.42 ! [A_3] : collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,A_3)) = insert_fun_a_bool(A_3,bot_bo1389914601l_bool) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_494_subset__singletonD,axiom,
% 7.28/7.42 ! [A_1,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(X_3,bot_bot_fun_nat_bool)))
% 7.28/7.42 => ( A_1 = bot_bot_fun_nat_bool
% 7.28/7.42 | A_1 = insert_nat(X_3,bot_bot_fun_nat_bool) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_495_subset__singletonD,axiom,
% 7.28/7.42 ! [A_1,X_3] :
% 7.28/7.42 ( is_fun_pname_bool(A_1)
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(X_3,bot_bo844097828e_bool)))
% 7.28/7.42 => ( A_1 = bot_bo844097828e_bool
% 7.28/7.42 | A_1 = insert_pname(X_3,bot_bo844097828e_bool) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_496_subset__singletonD,axiom,
% 7.28/7.42 ! [A_1,X_3] :
% 7.28/7.42 ( is_fun_a_bool(A_1)
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(X_3,bot_bot_fun_a_bool)))
% 7.28/7.42 => ( A_1 = bot_bot_fun_a_bool
% 7.28/7.42 | A_1 = insert_a(X_3,bot_bot_fun_a_bool) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_497_image__constant,axiom,
% 7.28/7.42 ! [C_1,X_3,A_1] :
% 7.28/7.42 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))
% 7.28/7.42 => image_pname_a(cOMBK_a_pname(C_1),A_1) = insert_a(C_1,bot_bot_fun_a_bool) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_498_image__constant__conv,axiom,
% 7.28/7.42 ! [C_1,A_1] :
% 7.28/7.42 ( is_fun_pname_bool(A_1)
% 7.28/7.42 => ( ( A_1 = bot_bo844097828e_bool
% 7.28/7.42 => image_pname_a(cOMBK_a_pname(C_1),A_1) = bot_bot_fun_a_bool )
% 7.28/7.42 & ( A_1 != bot_bo844097828e_bool
% 7.28/7.42 => image_pname_a(cOMBK_a_pname(C_1),A_1) = insert_a(C_1,bot_bot_fun_a_bool) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_499_linorder__le__cases,axiom,
% 7.28/7.42 ! [X_9,Y_8] :
% 7.28/7.42 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_9),Y_8))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_8),X_9)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_500_xt1_I6_J,axiom,
% 7.28/7.42 ! [Z_1,Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Z_1),Y_2))
% 7.28/7.42 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Z_1),X_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_501_xt1_I6_J,axiom,
% 7.28/7.42 ! [Z_1,Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),Y_2))
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),X_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_502_xt1_I6_J,axiom,
% 7.28/7.42 ! [Z_1,Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z_1),Y_2))
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z_1),X_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_503_xt1_I6_J,axiom,
% 7.28/7.42 ! [Z_3,Y_7,X_8] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_7),X_8))
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_3),Y_7))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_3),X_8)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_504_xt1_I6_J,axiom,
% 7.28/7.42 ! [Z_1,Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_1),Y_2))
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_1),X_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_505_xt1_I5_J,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(X_3)
% 7.28/7.42 <=> hBOOL(Y_2) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_506_xt1_I5_J,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))
% 7.28/7.42 => X_3 = Y_2 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_507_xt1_I5_J,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( ( is_fun_pname_bool(Y_2)
% 7.28/7.42 & is_fun_pname_bool(X_3) )
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))
% 7.28/7.42 => X_3 = Y_2 ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_508_xt1_I5_J,axiom,
% 7.28/7.42 ! [Y_6,X_7] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_6),X_7))
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_7),Y_6))
% 7.28/7.42 => X_7 = Y_6 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_509_xt1_I5_J,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( ( is_fun_a_bool(Y_2)
% 7.28/7.42 & is_fun_a_bool(X_3) )
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))
% 7.28/7.42 => X_3 = Y_2 ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_510_order__trans,axiom,
% 7.28/7.42 ! [Z_1,X_3,Y_2] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),Z_1))
% 7.28/7.42 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_3),Z_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_511_order__trans,axiom,
% 7.28/7.42 ! [Z_1,X_3,Y_2] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_1))
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Z_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_512_order__trans,axiom,
% 7.28/7.42 ! [Z_1,X_3,Y_2] :
% 7.28/7.42 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),Z_1))
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Z_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_513_order__trans,axiom,
% 7.28/7.42 ! [Z_2,X_6,Y_5] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_6),Y_5))
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_5),Z_2))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_6),Z_2)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_514_order__trans,axiom,
% 7.28/7.42 ! [Z_1,X_3,Y_2] :
% 7.28/7.42 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),Z_1))
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Z_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_515_order__antisym,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(X_3)
% 7.28/7.42 <=> hBOOL(Y_2) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_516_order__antisym,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))
% 7.28/7.42 => X_3 = Y_2 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_517_order__antisym,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( ( is_fun_pname_bool(X_3)
% 7.28/7.42 & is_fun_pname_bool(Y_2) )
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))
% 7.28/7.42 => X_3 = Y_2 ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_518_order__antisym,axiom,
% 7.28/7.42 ! [X_5,Y_4] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_5),Y_4))
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_4),X_5))
% 7.28/7.42 => X_5 = Y_4 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_519_order__antisym,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( ( is_fun_a_bool(X_3)
% 7.28/7.42 & is_fun_a_bool(Y_2) )
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))
% 7.28/7.42 => X_3 = Y_2 ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_520_xt1_I4_J,axiom,
% 7.28/7.42 ! [C_1,B_1,A_3] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,B_1),A_3))
% 7.28/7.42 => ( ( hBOOL(B_1)
% 7.28/7.42 <=> hBOOL(C_1) )
% 7.28/7.42 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,C_1),A_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_521_xt1_I4_J,axiom,
% 7.28/7.42 ! [C_1,B_1,A_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),A_3))
% 7.28/7.42 => ( B_1 = C_1
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),A_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_522_xt1_I4_J,axiom,
% 7.28/7.42 ! [C_1,B_1,A_3] :
% 7.28/7.42 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),A_3))
% 7.28/7.42 => ( B_1 = C_1
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),A_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_523_xt1_I4_J,axiom,
% 7.28/7.42 ! [C_5,B_5,A_7] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_5),A_7))
% 7.28/7.42 => ( B_5 = C_5
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_5),A_7)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_524_xt1_I4_J,axiom,
% 7.28/7.42 ! [C_1,B_1,A_3] :
% 7.28/7.42 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_1),A_3))
% 7.28/7.42 => ( B_1 = C_1
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),A_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_525_ord__le__eq__trans,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,A_3),B_1))
% 7.28/7.42 => ( ( hBOOL(B_1)
% 7.28/7.42 <=> hBOOL(C_1) )
% 7.28/7.42 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,A_3),C_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_526_ord__le__eq__trans,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),B_1))
% 7.28/7.42 => ( B_1 = C_1
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),C_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_527_ord__le__eq__trans,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),B_1))
% 7.28/7.42 => ( B_1 = C_1
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),C_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_528_ord__le__eq__trans,axiom,
% 7.28/7.42 ! [C_4,A_6,B_4] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_6),B_4))
% 7.28/7.42 => ( B_4 = C_4
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_6),C_4)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_529_ord__le__eq__trans,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),B_1))
% 7.28/7.42 => ( B_1 = C_1
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),C_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_530_xt1_I3_J,axiom,
% 7.28/7.42 ! [C_1,B_1,A_3] :
% 7.28/7.42 ( ( hBOOL(A_3)
% 7.28/7.42 <=> hBOOL(B_1) )
% 7.28/7.42 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,C_1),B_1))
% 7.28/7.42 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,C_1),A_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_531_xt1_I3_J,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( A_3 = B_1
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),B_1))
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),A_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_532_xt1_I3_J,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( A_3 = B_1
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),B_1))
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),A_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_533_xt1_I3_J,axiom,
% 7.28/7.42 ! [C_3,A_5,B_3] :
% 7.28/7.42 ( A_5 = B_3
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_3),B_3))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_3),A_5)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_534_xt1_I3_J,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( A_3 = B_1
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),B_1))
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),A_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_535_ord__eq__le__trans,axiom,
% 7.28/7.42 ! [C_1,B_1,A_3] :
% 7.28/7.42 ( ( hBOOL(A_3)
% 7.28/7.42 <=> hBOOL(B_1) )
% 7.28/7.42 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,B_1),C_1))
% 7.28/7.42 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,A_3),C_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_536_ord__eq__le__trans,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( A_3 = B_1
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),C_1))
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),C_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_537_ord__eq__le__trans,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( A_3 = B_1
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),C_1))
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),C_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_538_ord__eq__le__trans,axiom,
% 7.28/7.42 ! [C_2,A_4,B_2] :
% 7.28/7.42 ( A_4 = B_2
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_2),C_2))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_4),C_2)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_539_ord__eq__le__trans,axiom,
% 7.28/7.42 ! [C_1,A_3,B_1] :
% 7.28/7.42 ( A_3 = B_1
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_1),C_1))
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),C_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_540_order__antisym__conv,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_3),Y_2))
% 7.28/7.42 <=> ( hBOOL(X_3)
% 7.28/7.42 <=> hBOOL(Y_2) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_541_order__antisym__conv,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))
% 7.28/7.42 <=> X_3 = Y_2 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_542_order__antisym__conv,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( ( is_fun_pname_bool(Y_2)
% 7.28/7.42 & is_fun_pname_bool(X_3) )
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))
% 7.28/7.42 <=> X_3 = Y_2 ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_543_order__antisym__conv,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_3),Y_2))
% 7.28/7.42 <=> X_3 = Y_2 ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_544_order__antisym__conv,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( ( is_fun_a_bool(Y_2)
% 7.28/7.42 & is_fun_a_bool(X_3) )
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))
% 7.28/7.42 <=> X_3 = Y_2 ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_545_order__eq__refl,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( ( hBOOL(X_3)
% 7.28/7.42 <=> hBOOL(Y_2) )
% 7.28/7.42 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_3),Y_2)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_546_order__eq__refl,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( X_3 = Y_2
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_547_order__eq__refl,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( X_3 = Y_2
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_548_order__eq__refl,axiom,
% 7.28/7.42 ! [X_4,Y_3] :
% 7.28/7.42 ( X_4 = Y_3
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_4),Y_3)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_549_order__eq__refl,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( X_3 = Y_2
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_550_order__eq__iff,axiom,
% 7.28/7.42 ! [Y_2,X_3] :
% 7.28/7.42 ( ( hBOOL(X_3)
% 7.28/7.42 <=> hBOOL(Y_2) )
% 7.28/7.42 <=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X_3),Y_2))
% 7.28/7.42 & hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,Y_2),X_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_551_order__eq__iff,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( X_3 = Y_2
% 7.28/7.42 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))
% 7.28/7.42 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_552_order__eq__iff,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( ( is_fun_pname_bool(X_3)
% 7.28/7.42 & is_fun_pname_bool(Y_2) )
% 7.28/7.42 => ( X_3 = Y_2
% 7.28/7.42 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))
% 7.28/7.42 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3)) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_553_order__eq__iff,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( X_3 = Y_2
% 7.28/7.42 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_3),Y_2))
% 7.28/7.42 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_2),X_3)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_554_order__eq__iff,axiom,
% 7.28/7.42 ! [X_3,Y_2] :
% 7.28/7.42 ( ( is_fun_a_bool(X_3)
% 7.28/7.42 & is_fun_a_bool(Y_2) )
% 7.28/7.42 => ( X_3 = Y_2
% 7.28/7.42 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))
% 7.28/7.42 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3)) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_555_linorder__linear,axiom,
% 7.28/7.42 ! [X_2,Y_1] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_1))
% 7.28/7.42 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_1),X_2)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_556_finite__subset__induct,axiom,
% 7.28/7.42 ! [Pa,A_1,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A_1))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))
% 7.28/7.42 => ( ! [A_2,F_2] :
% 7.28/7.42 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A_1))
% 7.28/7.42 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f54304608l_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(Pa,insert_nat(A_2,F_2))) ) ) ) )
% 7.28/7.42 => hBOOL(hAPP_f54304608l_bool(Pa,F_1)) ) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_557_finite__subset__induct,axiom,
% 7.28/7.42 ! [Pa,A_1,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))
% 7.28/7.42 => ( ! [A_2,F_2] :
% 7.28/7.42 ( ( is_pname(A_2)
% 7.28/7.42 & is_fun_pname_bool(F_2) )
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A_1))
% 7.28/7.42 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1664156314l_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(Pa,insert_pname(A_2,F_2))) ) ) ) ) )
% 7.28/7.42 => hBOOL(hAPP_f1664156314l_bool(Pa,F_1)) ) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_558_finite__subset__induct,axiom,
% 7.28/7.42 ! [Pa,A_1,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A_1))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))
% 7.28/7.42 => ( ! [A_2,F_2] :
% 7.28/7.42 ( ( is_a(A_2)
% 7.28/7.42 & is_fun_a_bool(F_2) )
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A_1))
% 7.28/7.42 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(Pa,insert_a(A_2,F_2))) ) ) ) ) )
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)) ) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_559_finite__subset__induct,axiom,
% 7.28/7.42 ! [Pa,A_1,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,F_1),A_1))
% 7.28/7.42 => ( hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))
% 7.28/7.42 => ( ! [A_2,F_2] :
% 7.28/7.42 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,A_2),A_1))
% 7.28/7.42 => ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,A_2),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1637334154l_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_f1637334154l_bool(Pa,insert_fun_nat_bool(A_2,F_2))) ) ) ) )
% 7.28/7.42 => hBOOL(hAPP_f1637334154l_bool(Pa,F_1)) ) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_560_finite__subset__induct,axiom,
% 7.28/7.42 ! [Pa,A_1,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))
% 7.28/7.42 => ( hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))
% 7.28/7.42 => ( ! [A_2,F_2] :
% 7.28/7.42 ( ( is_fun_pname_bool(A_2)
% 7.28/7.42 & is_fun1661590463l_bool(F_2) )
% 7.28/7.42 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),A_1))
% 7.28/7.42 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1935102916l_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_f1935102916l_bool(Pa,insert1325755072e_bool(A_2,F_2))) ) ) ) ) )
% 7.28/7.42 => hBOOL(hAPP_f1935102916l_bool(Pa,F_1)) ) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_561_finite__subset__induct,axiom,
% 7.28/7.42 ! [Pa,A_1,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))
% 7.28/7.42 => ( hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))
% 7.28/7.42 => ( ! [A_2,F_2] :
% 7.28/7.42 ( ( is_fun_a_bool(A_2)
% 7.28/7.42 & is_fun949378684l_bool(F_2) )
% 7.28/7.42 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,A_2),A_1))
% 7.28/7.42 => ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,A_2),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f621171935l_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_f621171935l_bool(Pa,insert_fun_a_bool(A_2,F_2))) ) ) ) ) )
% 7.28/7.42 => hBOOL(hAPP_f621171935l_bool(Pa,F_1)) ) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_562_assms_I2_J,axiom,
% 7.28/7.42 ! [Pn,G] :
% 7.28/7.42 ( hBOOL(hAPP_fun_a_bool_bool(p(insert_a(hAPP_pname_a(mgt_call,Pn),G)),insert_a(mgt(the_com(body(Pn))),bot_bot_fun_a_bool)))
% 7.28/7.42 => hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(hAPP_pname_a(mgt_call,Pn),bot_bot_fun_a_bool))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_563_finite__induct,axiom,
% 7.28/7.42 ! [Pa,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))
% 7.28/7.42 => ( ! [X_1,F_2] :
% 7.28/7.42 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_2))
% 7.28/7.42 => ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1637334154l_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_f1637334154l_bool(Pa,insert_fun_nat_bool(X_1,F_2))) ) ) )
% 7.28/7.42 => hBOOL(hAPP_f1637334154l_bool(Pa,F_1)) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_564_finite__induct,axiom,
% 7.28/7.42 ! [Pa,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))
% 7.28/7.42 => ( ! [X_1,F_2] :
% 7.28/7.42 ( ( is_fun_pname_bool(X_1)
% 7.28/7.42 & is_fun1661590463l_bool(F_2) )
% 7.28/7.42 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_2))
% 7.28/7.42 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f1935102916l_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_f1935102916l_bool(Pa,insert1325755072e_bool(X_1,F_2))) ) ) ) )
% 7.28/7.42 => hBOOL(hAPP_f1935102916l_bool(Pa,F_1)) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_565_finite__induct,axiom,
% 7.28/7.42 ! [Pa,F_1] :
% 7.28/7.42 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))
% 7.28/7.42 => ( hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))
% 7.28/7.42 => ( ! [X_1,F_2] :
% 7.28/7.42 ( ( is_fun_a_bool(X_1)
% 7.28/7.42 & is_fun949378684l_bool(F_2) )
% 7.28/7.42 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_2))
% 7.28/7.42 => ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),F_2))
% 7.28/7.42 => ( hBOOL(hAPP_f621171935l_bool(Pa,F_2))
% 7.28/7.42 => hBOOL(hAPP_f621171935l_bool(Pa,insert_fun_a_bool(X_1,F_2))) ) ) ) )
% 7.28/7.42 => hBOOL(hAPP_f621171935l_bool(Pa,F_1)) ) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_566_finite__less__ub,axiom,
% 7.28/7.42 ! [U,F] :
% 7.28/7.42 ( ! [N_2] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_2),hAPP_nat_nat(F,N_2)))
% 7.28/7.42 => 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)))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_567_assms_I4_J,axiom,
% 7.28/7.42 ! [Pn] :
% 7.28/7.42 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Pn),u))
% 7.28/7.42 => hBOOL(wt(the_com(body(Pn)))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_568_diff__Suc__eq__diff__pred,axiom,
% 7.28/7.42 ! [M,N] : hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_569_diff__Suc__1,axiom,
% 7.28/7.42 ! [N] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,N)),one_one_nat) = N ).
% 7.28/7.42
% 7.28/7.42 fof(fact_570_less__eq__nat_Osimps_I2_J,axiom,
% 7.28/7.42 ! [M_1,Na] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_1)),Na))
% 7.28/7.42 <=> hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,M_1)),Na)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_571_add__Suc__right,axiom,
% 7.28/7.42 ! [M,N] : hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_572_add__Suc,axiom,
% 7.28/7.42 ! [M,N] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N) = hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_573_add__Suc__shift,axiom,
% 7.28/7.42 ! [M,N] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N) = hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_574_nat__add__right__cancel,axiom,
% 7.28/7.42 ! [M_1,K_2,Na] :
% 7.28/7.42 ( hAPP_nat_nat(plus_plus_nat(M_1),K_2) = hAPP_nat_nat(plus_plus_nat(Na),K_2)
% 7.28/7.42 <=> M_1 = Na ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_575_nat__add__left__cancel,axiom,
% 7.28/7.42 ! [K_2,M_1,Na] :
% 7.28/7.42 ( hAPP_nat_nat(plus_plus_nat(K_2),M_1) = hAPP_nat_nat(plus_plus_nat(K_2),Na)
% 7.28/7.42 <=> M_1 = Na ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_576_nat__add__assoc,axiom,
% 7.28/7.42 ! [M,N,K] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M),N)),K) = hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(plus_plus_nat(N),K)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_577_nat__add__left__commute,axiom,
% 7.28/7.42 ! [X,Y,Z] : hAPP_nat_nat(plus_plus_nat(X),hAPP_nat_nat(plus_plus_nat(Y),Z)) = hAPP_nat_nat(plus_plus_nat(Y),hAPP_nat_nat(plus_plus_nat(X),Z)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_578_nat__add__commute,axiom,
% 7.28/7.42 ! [M,N] : hAPP_nat_nat(plus_plus_nat(M),N) = hAPP_nat_nat(plus_plus_nat(N),M) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_579_diff__add__inverse2,axiom,
% 7.28/7.42 ! [M,N] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),N)),N) = M ).
% 7.28/7.42
% 7.28/7.42 fof(fact_580_diff__add__inverse,axiom,
% 7.28/7.42 ! [N,M] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N),M)),N) = M ).
% 7.28/7.42
% 7.28/7.42 fof(fact_581_diff__diff__left,axiom,
% 7.28/7.42 ! [I,J_2,K] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J_2)),K) = hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(plus_plus_nat(J_2),K)) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_582_diff__cancel,axiom,
% 7.28/7.42 ! [K,M,N] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(K),M)),hAPP_nat_nat(plus_plus_nat(K),N)) = hAPP_nat_nat(minus_minus_nat(M),N) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_583_diff__cancel2,axiom,
% 7.28/7.42 ! [M,K,N] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(plus_plus_nat(N),K)) = hAPP_nat_nat(minus_minus_nat(M),N) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_584_le__add2,axiom,
% 7.28/7.42 ! [N,M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),hAPP_nat_nat(plus_plus_nat(M),N))) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_585_le__add1,axiom,
% 7.28/7.42 ! [N,M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),hAPP_nat_nat(plus_plus_nat(N),M))) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_586_le__iff__add,axiom,
% 7.28/7.42 ! [M_1,Na] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na))
% 7.28/7.42 <=> ? [K_1] : Na = hAPP_nat_nat(plus_plus_nat(M_1),K_1) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_587_nat__add__left__cancel__le,axiom,
% 7.28/7.42 ! [K_2,M_1,Na] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(K_2),M_1)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))
% 7.28/7.42 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_588_trans__le__add1,axiom,
% 7.28/7.42 ! [M,I,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),hAPP_nat_nat(plus_plus_nat(J_2),M))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_589_trans__le__add2,axiom,
% 7.28/7.42 ! [M,I,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),hAPP_nat_nat(plus_plus_nat(M),J_2))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_590_add__le__mono1,axiom,
% 7.28/7.42 ! [K,I,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),K))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_591_add__le__mono,axiom,
% 7.28/7.42 ! [K,L,I,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J_2))
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),L))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_592_add__leD2,axiom,
% 7.28/7.42 ! [M,K,N] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_593_add__leD1,axiom,
% 7.28/7.42 ! [M,K,N] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_594_add__leE,axiom,
% 7.28/7.42 ! [M,K,N] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))
% 7.28/7.42 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.42 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_595_diff__add__assoc2,axiom,
% 7.28/7.42 ! [I,K,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_2))
% 7.28/7.42 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J_2),I)),K) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J_2),K)),I) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_596_add__diff__assoc2,axiom,
% 7.28/7.42 ! [I,K,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_2))
% 7.28/7.42 => hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J_2),K)),I) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J_2),I)),K) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_597_diff__add__assoc,axiom,
% 7.28/7.42 ! [I,K,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_2))
% 7.28/7.42 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J_2)),K) = hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_598_le__imp__diff__is__add,axiom,
% 7.28/7.42 ! [K_2,I_1,J_1] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1))
% 7.28/7.42 => ( hAPP_nat_nat(minus_minus_nat(J_1),I_1) = K_2
% 7.28/7.42 <=> J_1 = hAPP_nat_nat(plus_plus_nat(K_2),I_1) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_599_le__add__diff__inverse2,axiom,
% 7.28/7.42 ! [N,M] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 7.28/7.42 => hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(M),N)),N) = M ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_600_le__diff__conv2,axiom,
% 7.28/7.42 ! [I_1,K_2,J_1] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),J_1))
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_2)))
% 7.28/7.42 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_2)),J_1)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_601_add__diff__assoc,axiom,
% 7.28/7.42 ! [I,K,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_2))
% 7.28/7.42 => hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J_2)),K) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_602_le__add__diff__inverse,axiom,
% 7.28/7.42 ! [N,M] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 7.28/7.42 => hAPP_nat_nat(plus_plus_nat(N),hAPP_nat_nat(minus_minus_nat(M),N)) = M ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_603_le__add__diff,axiom,
% 7.28/7.42 ! [M,K,N] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N),M)),K))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_604_le__diff__conv,axiom,
% 7.28/7.42 ! [J_1,K_2,I_1] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(J_1),K_2)),I_1))
% 7.28/7.42 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),hAPP_nat_nat(plus_plus_nat(I_1),K_2))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_605_diff__diff__right,axiom,
% 7.28/7.42 ! [I,K,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_2))
% 7.28/7.42 => hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),K)),J_2) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_606_Suc__eq__plus1,axiom,
% 7.28/7.42 ! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(plus_plus_nat(N),one_one_nat) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_607_Suc__eq__plus1__left,axiom,
% 7.28/7.42 ! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(plus_plus_nat(one_one_nat),N) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_608_diff__Suc__diff__eq2,axiom,
% 7.28/7.42 ! [M,K,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_2))
% 7.28/7.42 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J_2),K))),M) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,J_2)),hAPP_nat_nat(plus_plus_nat(K),M)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_609_diff__Suc__diff__eq1,axiom,
% 7.28/7.42 ! [M,K,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_2))
% 7.28/7.42 => hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J_2),K))) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(suc,J_2)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_610_termination__basic__simps_I3_J,axiom,
% 7.28/7.42 ! [Z,X,Y] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_611_termination__basic__simps_I4_J,axiom,
% 7.28/7.42 ! [Y,X,Z] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Z))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_612_lessI,axiom,
% 7.28/7.42 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_613_Suc__mono,axiom,
% 7.28/7.42 ! [M,N] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_614_finite__Collect__less__nat,axiom,
% 7.28/7.42 ! [K_2] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),K_2)))) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_615_termination__basic__simps_I1_J,axiom,
% 7.28/7.42 ! [Z,X,Y] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_616_termination__basic__simps_I2_J,axiom,
% 7.28/7.42 ! [Y,X,Z] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(plus_plus_nat(Y),Z))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_617_add__lessD1,axiom,
% 7.28/7.42 ! [I,J_2,K] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J_2)),K))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K)) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_618_less__add__eq__less,axiom,
% 7.28/7.42 ! [M,N,K,L] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))
% 7.28/7.42 => ( hAPP_nat_nat(plus_plus_nat(M),L) = hAPP_nat_nat(plus_plus_nat(K),N)
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_619_add__less__mono,axiom,
% 7.28/7.42 ! [K,L,I,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 7.28/7.42 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))) ) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_620_add__less__mono1,axiom,
% 7.28/7.42 ! [K,I,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),K))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_621_trans__less__add2,axiom,
% 7.28/7.42 ! [M,I,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 7.28/7.42 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(M),J_2))) ) ).
% 7.28/7.42
% 7.28/7.42 fof(fact_622_trans__less__add1,axiom,
% 7.28/7.42 ! [M,I,J_2] :
% 7.28/7.42 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(J_2),M))) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_623_nat__add__left__cancel__less,axiom,
% 7.28/7.43 ! [K_2,M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_2),M_1)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_624_not__add__less2,axiom,
% 7.28/7.43 ! [J_2,I] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J_2),I)),I)) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_625_not__add__less1,axiom,
% 7.28/7.43 ! [I,J_2] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J_2)),I)) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_626_Suc__less__SucD,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_627_Suc__lessD,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_628_less__SucE,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))
% 7.28/7.43 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 => M = N ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_629_less__trans__Suc,axiom,
% 7.28/7.43 ! [K,I,J_2] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K)) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_630_Suc__lessI,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 => ( hAPP_nat_nat(suc,M) != N
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N)) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_631_less__SucI,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N))) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_632_less__antisym,axiom,
% 7.28/7.43 ! [N,M] :
% 7.28/7.43 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M)))
% 7.28/7.43 => M = N ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_633_not__less__less__Suc__eq,axiom,
% 7.28/7.43 ! [Na,M_1] :
% 7.28/7.43 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))
% 7.28/7.43 <=> Na = M_1 ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_634_Suc__less__eq,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,Na)))
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_635_less__Suc__eq,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))
% 7.28/7.43 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))
% 7.28/7.43 | M_1 = Na ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_636_not__less__eq,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1))) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_637_less__or__eq__imp__le,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 | M = N )
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_638_le__neq__implies__less,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.43 => ( M != N
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_639_less__imp__le__nat,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_640_le__eq__less__or__eq,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na))
% 7.28/7.43 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))
% 7.28/7.43 | M_1 = Na ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_641_nat__less__le,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))
% 7.28/7.43 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na))
% 7.28/7.43 & M_1 != Na ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_642_diff__less__mono2,axiom,
% 7.28/7.43 ! [L,M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(L),N)),hAPP_nat_nat(minus_minus_nat(L),M))) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_643_less__imp__diff__less,axiom,
% 7.28/7.43 ! [N,J_2,K] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(J_2),N)),K)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_644_termination__basic__simps_I5_J,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_645_less__not__refl,axiom,
% 7.28/7.43 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_646_nat__neq__iff,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( M_1 != Na
% 7.28/7.43 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))
% 7.28/7.43 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1)) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_647_linorder__neqE__nat,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( X != Y
% 7.28/7.43 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_648_less__irrefl__nat,axiom,
% 7.28/7.43 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_649_less__not__refl2,axiom,
% 7.28/7.43 ! [N,M] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))
% 7.28/7.43 => M != N ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_650_less__not__refl3,axiom,
% 7.28/7.43 ! [S,T] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))
% 7.28/7.43 => S != T ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_651_nat__less__cases,axiom,
% 7.28/7.43 ! [Pa,M_1,Na] :
% 7.28/7.43 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1)) )
% 7.28/7.43 => ( ( M_1 = Na
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1)) )
% 7.28/7.43 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1)) )
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1)) ) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_652_finite__nat__set__iff__bounded,axiom,
% 7.28/7.43 ! [N_1] :
% 7.28/7.43 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))
% 7.28/7.43 <=> ? [M_2] :
% 7.28/7.43 ! [X_1] :
% 7.28/7.43 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_1))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),M_2)) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_653_card__Collect__less__nat,axiom,
% 7.28/7.43 ! [Na] : hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),Na))) = Na ).
% 7.28/7.43
% 7.28/7.43 fof(fact_654_finite__M__bounded__by__nat,axiom,
% 7.28/7.43 ! [Pa,I_1] : 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_1))))) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_655_less__add__Suc1,axiom,
% 7.28/7.43 ! [I,M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(I),M)))) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_656_less__add__Suc2,axiom,
% 7.28/7.43 ! [I,M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),I)))) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_657_less__iff__Suc__add,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))
% 7.28/7.43 <=> ? [K_1] : Na = hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M_1),K_1)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_658_less__eq__Suc__le,axiom,
% 7.28/7.43 ! [Na,M_1] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M_1)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_659_less__Suc__eq__le,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_660_Suc__le__eq,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_1)),Na))
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_661_le__imp__less__Suc,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N))) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_662_Suc__leI,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M)),N)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_663_le__less__Suc__eq,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))
% 7.28/7.43 <=> Na = M_1 ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_664_Suc__le__lessD,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M)),N))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_665_diff__less__Suc,axiom,
% 7.28/7.43 ! [M,N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M),N)),hAPP_nat_nat(suc,M))) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_666_add__diff__inverse,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 => hAPP_nat_nat(plus_plus_nat(N),hAPP_nat_nat(minus_minus_nat(M),N)) = M ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_667_less__diff__conv,axiom,
% 7.28/7.43 ! [I_1,J_1,K_2] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_2)))
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_2)),J_1)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_668_diff__less__mono,axiom,
% 7.28/7.43 ! [C,A,B] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_669_less__diff__iff,axiom,
% 7.28/7.43 ! [Na,K_2,M_1] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),M_1))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),Na))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_2)),hAPP_nat_nat(minus_minus_nat(Na),K_2)))
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)) ) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_670_less__eq__Suc__le__raw,axiom,
% 7.28/7.43 ! [X_1] : hAPP_n1699378549t_bool(ord_less_nat,X_1) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X_1)) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_671_mono__nat__linear__lb,axiom,
% 7.28/7.43 ! [M_1,K_2,F] :
% 7.28/7.43 ( ! [M_2,N_2] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_2))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_2)),hAPP_nat_nat(F,N_2))) )
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,M_1)),K_2)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(M_1),K_2)))) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_672_inc__induct,axiom,
% 7.28/7.43 ! [Pa,I_1,J_1] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(Pa,J_1))
% 7.28/7.43 => ( ! [I_2] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,I_2)))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(Pa,I_2)) ) )
% 7.28/7.43 => hBOOL(hAPP_nat_bool(Pa,I_1)) ) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_673_less__imp__Suc__add,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 7.28/7.43 => ? [K_1] : N = hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),K_1)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_674_bounded__nat__set__is__finite,axiom,
% 7.28/7.43 ! [Na,N_1] :
% 7.28/7.43 ( ! [X_1] :
% 7.28/7.43 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_1))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Na)) )
% 7.28/7.43 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_675_less__mono__imp__le__mono,axiom,
% 7.28/7.43 ! [I_1,J_1,F] :
% 7.28/7.43 ( ! [I_2,J] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J))) )
% 7.28/7.43 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1))
% 7.28/7.43 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_676_Suc__lessE,axiom,
% 7.28/7.43 ! [I,K] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K))
% 7.28/7.43 => ~ ! [J] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))
% 7.28/7.43 => K != hAPP_nat_nat(suc,J) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_677_lessE,axiom,
% 7.28/7.43 ! [I,K] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))
% 7.28/7.43 => ( K != hAPP_nat_nat(suc,I)
% 7.28/7.43 => ~ ! [J] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))
% 7.28/7.43 => K != hAPP_nat_nat(suc,J) ) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_678_less__zeroE,axiom,
% 7.28/7.43 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_679_le0,axiom,
% 7.28/7.43 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N)) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_680_zero__less__Suc,axiom,
% 7.28/7.43 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_681_add__is__1,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hAPP_nat_nat(plus_plus_nat(M_1),Na) = hAPP_nat_nat(suc,zero_zero_nat)
% 7.28/7.43 <=> ( ( M_1 = hAPP_nat_nat(suc,zero_zero_nat)
% 7.28/7.43 & Na = zero_zero_nat )
% 7.28/7.43 | ( M_1 = zero_zero_nat
% 7.28/7.43 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_682_one__is__add,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(plus_plus_nat(M_1),Na)
% 7.28/7.43 <=> ( ( M_1 = hAPP_nat_nat(suc,zero_zero_nat)
% 7.28/7.43 & Na = zero_zero_nat )
% 7.28/7.43 | ( M_1 = zero_zero_nat
% 7.28/7.43 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_683_diff__add__0,axiom,
% 7.28/7.43 ! [N,M] : hAPP_nat_nat(minus_minus_nat(N),hAPP_nat_nat(plus_plus_nat(N),M)) = zero_zero_nat ).
% 7.28/7.43
% 7.28/7.43 fof(fact_684_diff__is__0__eq_H,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 7.28/7.43 => hAPP_nat_nat(minus_minus_nat(M),N) = zero_zero_nat ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_685_diff__is__0__eq,axiom,
% 7.28/7.43 ! [M_1,Na] :
% 7.28/7.43 ( hAPP_nat_nat(minus_minus_nat(M_1),Na) = zero_zero_nat
% 7.28/7.43 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),Na)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_686_One__nat__def,axiom,
% 7.28/7.43 one_one_nat = hAPP_nat_nat(suc,zero_zero_nat) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_687_diffs0__imp__equal,axiom,
% 7.28/7.43 ! [M,N] :
% 7.28/7.43 ( hAPP_nat_nat(minus_minus_nat(M),N) = zero_zero_nat
% 7.28/7.43 => ( hAPP_nat_nat(minus_minus_nat(N),M) = zero_zero_nat
% 7.28/7.43 => M = N ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_688_diff__self__eq__0,axiom,
% 7.28/7.43 ! [M] : hAPP_nat_nat(minus_minus_nat(M),M) = zero_zero_nat ).
% 7.28/7.43
% 7.28/7.43 fof(fact_689_minus__nat_Odiff__0,axiom,
% 7.28/7.43 ! [M] : hAPP_nat_nat(minus_minus_nat(M),zero_zero_nat) = M ).
% 7.28/7.43
% 7.28/7.43 fof(fact_690_diff__0__eq__0,axiom,
% 7.28/7.43 ! [N] : hAPP_nat_nat(minus_minus_nat(zero_zero_nat),N) = zero_zero_nat ).
% 7.28/7.43
% 7.28/7.43 fof(fact_691_Suc__neq__Zero,axiom,
% 7.28/7.43 ! [M] : hAPP_nat_nat(suc,M) != zero_zero_nat ).
% 7.28/7.43
% 7.28/7.43 fof(fact_692_Zero__neq__Suc,axiom,
% 7.28/7.43 ! [M] : zero_zero_nat != hAPP_nat_nat(suc,M) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_693_nat_Osimps_I3_J,axiom,
% 7.28/7.43 ! [Nat_1] : hAPP_nat_nat(suc,Nat_1) != zero_zero_nat ).
% 7.28/7.43
% 7.28/7.43 fof(fact_694_Suc__not__Zero,axiom,
% 7.28/7.43 ! [M] : hAPP_nat_nat(suc,M) != zero_zero_nat ).
% 7.28/7.43
% 7.28/7.43 fof(fact_695_nat_Osimps_I2_J,axiom,
% 7.28/7.43 ! [Nat] : zero_zero_nat != hAPP_nat_nat(suc,Nat) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_696_Zero__not__Suc,axiom,
% 7.28/7.43 ! [M] : zero_zero_nat != hAPP_nat_nat(suc,M) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_697_bot__nat__def,axiom,
% 7.28/7.43 bot_bot_nat = zero_zero_nat ).
% 7.28/7.43
% 7.28/7.43 fof(fact_698_le__0__eq,axiom,
% 7.28/7.43 ! [Na] :
% 7.28/7.43 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),zero_zero_nat))
% 7.28/7.43 <=> Na = zero_zero_nat ) ).
% 7.28/7.43
% 7.28/7.43 fof(fact_699_less__eq__nat_Osimps_I1_J,axiom,
% 7.28/7.43 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N)) ).
% 7.28/7.43
% 7.28/7.43 %----Helper facts (107)
% 7.28/7.43 fof(help_fNot_1_1_U,axiom,
% 7.28/7.43 ! [P] :
% 7.28/7.43 ( ~ hBOOL(hAPP_bool_bool(fNot,P))
% 7.28/7.43 | ~ hBOOL(P) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fNot_2_1_U,axiom,
% 7.28/7.43 ! [P] :
% 7.28/7.43 ( hBOOL(P)
% 7.28/7.43 | hBOOL(hAPP_bool_bool(fNot,P)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fconj_1_1_U,axiom,
% 7.28/7.43 ! [Q,P] :
% 7.28/7.43 ( ~ hBOOL(P)
% 7.28/7.43 | ~ hBOOL(Q)
% 7.28/7.43 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fconj_2_1_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 7.28/7.43 | hBOOL(P) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fconj_3_1_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 7.28/7.43 | hBOOL(Q) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fdisj_1_1_U,axiom,
% 7.28/7.43 ! [Q,P] :
% 7.28/7.43 ( ~ hBOOL(P)
% 7.28/7.43 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fdisj_2_1_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( ~ hBOOL(Q)
% 7.28/7.43 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fdisj_3_1_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
% 7.28/7.43 | hBOOL(P)
% 7.28/7.43 | hBOOL(Q) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fFalse_1_1_U,axiom,
% 7.28/7.43 ~ hBOOL(fFalse) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fFalse_1_1_T,axiom,
% 7.28/7.43 ! [P] :
% 7.28/7.43 ( is_bool(P)
% 7.28/7.43 => ( P = fTrue
% 7.28/7.43 | P = fFalse ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fimplies_1_1_U,axiom,
% 7.28/7.43 ! [Q,P] :
% 7.28/7.43 ( hBOOL(P)
% 7.28/7.43 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fimplies_2_1_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( ~ hBOOL(Q)
% 7.28/7.43 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fimplies_3_1_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))
% 7.28/7.43 | ~ hBOOL(P)
% 7.28/7.43 | hBOOL(Q) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_1_1_fequal_000t__a_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( ( is_a(X)
% 7.28/7.43 & is_a(Y) )
% 7.28/7.43 => ( ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X),Y))
% 7.28/7.43 | X = Y ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_2_1_fequal_000t__a_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( X != Y
% 7.28/7.43 | hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X),Y)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y))
% 7.28/7.43 | X = Y ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( X != Y
% 7.28/7.43 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_1_1_fequal_000tc__Com__Opname_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( ( is_pname(X)
% 7.28/7.43 & is_pname(Y) )
% 7.28/7.43 => ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y))
% 7.28/7.43 | X = Y ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_2_1_fequal_000tc__Com__Opname_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( X != Y
% 7.28/7.43 | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000t__a_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( is_bool(P)
% 7.28/7.43 => hAPP_a_bool(cOMBK_bool_a(P),Q) = P ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBK_1_1_COMBK_000t__a_000tc__Com__Opname_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( is_a(P)
% 7.28/7.43 => hAPP_pname_a(cOMBK_a_pname(P),Q) = P ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [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) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( is_bool(P)
% 7.28/7.43 => hAPP_nat_bool(cOMBK_bool_nat(P),Q) = P ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( ( is_fun_a_bool(X)
% 7.28/7.43 & is_fun_a_bool(Y) )
% 7.28/7.43 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X),Y))
% 7.28/7.43 | X = Y ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( X != Y
% 7.28/7.43 | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X),Y)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( is_bool(P)
% 7.28/7.43 => hAPP_pname_bool(cOMBK_bool_pname(P),Q) = P ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000t__a_000tc__Nat__Onat_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a_bool(hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(P),Q),R) = hAPP_nat_bool(hAPP_a_fun_nat_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000t__a_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_nat_bool(hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(P),Q),R) = hAPP_a_bool(hAPP_nat_fun_a_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a_bool(cOMBB_bool_bool_a(P,Q),R) = hAPP_bool_bool(P,hAPP_a_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [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)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000t__a_000tc__Com__Opname_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a_bool(hAPP_p1534023578a_bool(cOMBC_a_pname_bool(P),Q),R) = hAPP_pname_bool(hAPP_a93125764e_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [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) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X),Y))
% 7.28/7.43 | X = Y ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( X != Y
% 7.28/7.43 | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X),Y)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( ( is_fun_pname_bool(X)
% 7.28/7.43 & is_fun_pname_bool(Y) )
% 7.28/7.43 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y))
% 7.28/7.43 | X = Y ) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
% 7.28/7.43 ! [X,Y] :
% 7.28/7.43 ( X != Y
% 7.28/7.43 | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y)) ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a_fun_a_bool(cOMBB_a_fun_a_bool_a(P,Q),R) = hAPP_a_fun_a_bool(P,hAPP_a_a(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [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) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R) = hAPP_bool_bool(P,hAPP_nat_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool_J_U,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( is_bool(P)
% 7.28/7.43 => hAPP_fun_a_bool_bool(cOMBK_324466864a_bool(P),Q) = P ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [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)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Nat__Onat_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_pname_bool(hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(P),Q),R) = hAPP_nat_bool(hAPP_p1499970991t_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Com__Opname_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_nat_bool(hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(P),Q),R) = hAPP_pname_bool(hAPP_n1025906991e_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R) = hAPP_bool_bool(P,hAPP_pname_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [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)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(P),Q),R) = hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Nat__Onat,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_nat_fun_a_bool(cOMBB_1885489796ol_nat(P,Q),R) = hAPP_a_fun_a_bool(P,hAPP_nat_a(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo,axiom,
% 7.28/7.43 ! [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) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_p1534023578a_bool(cOMBB_1897541054_pname(P,Q),R) = hAPP_a_fun_a_bool(P,hAPP_pname_a(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( is_bool(P)
% 7.28/7.43 => hAPP_f54304608l_bool(cOMBK_1994329625t_bool(P),Q) = P ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
% 7.28/7.43 ! [P,Q] :
% 7.28/7.43 ( is_bool(P)
% 7.28/7.43 => hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(P),Q) = P ) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a_fun_nat_bool(cOMBB_1321347587bool_a(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_a_nat(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a_bool(hAPP_f1549043526a_bool(cOMBC_777206479l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_a1392362872l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__,axiom,
% 7.28/7.43 ! [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) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Nat__Onat_000tc__,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(cOMBC_619334683t_bool(P),Q),R) = hAPP_nat_bool(hAPP_f282463732t_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__H,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(P,Q),R) = hAPP_bool_bool(P,hAPP_fun_a_bool_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_a_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_,axiom,
% 7.28/7.43 ! [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)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a_bool(hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_a217006258l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_pname_bool(hAPP_f1794073134e_bool(cOMBC_445755039l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname_000tc,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(P),Q),R) = hAPP_pname_bool(hAPP_f1794073134e_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a93125764e_bool(cOMBB_610033911bool_a(P,Q),R) = hAPP_p61793385e_bool(P,hAPP_a_pname(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__003,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f54304608l_bool(hAPP_n215258509l_bool(cOMBC_385542954t_bool(P),Q),R) = hAPP_nat_bool(hAPP_f800510211t_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Nat__On,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f54304608l_bool(cOMBB_238756964t_bool(P,Q),R) = hAPP_bool_bool(P,hAPP_f54304608l_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_004,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__005,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_p1499970991t_bool(cOMBB_523834888_pname(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_pname_nat(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom,
% 7.28/7.43 ! [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)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Oboo,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_pname_bool(hAPP_f654413245e_bool(cOMBC_267053842l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_p130839763l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_n850744903l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Nat__O,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_n850744903l_bool(cOMBC_1666426608t_bool(P),Q),R) = hAPP_nat_bool(hAPP_f1066163005t_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opn,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f54304608l_bool(hAPP_p130839763l_bool(cOMBC_615407716e_bool(P),Q),R) = hAPP_pname_bool(hAPP_f654413245e_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_006,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_n1025906991e_bool(cOMBB_1212655066ol_nat(P,Q),R) = hAPP_p61793385e_bool(P,hAPP_nat_pname(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1664156314l_bool(cOMBB_307249310e_bool(P,Q),R) = hAPP_bool_bool(P,hAPP_f1664156314l_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_007,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,axiom,
% 7.28/7.43 ! [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)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_p338031245l_bool(cOMBC_1004116266e_bool(P),Q),R) = hAPP_pname_bool(hAPP_f759274231e_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_008,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_p61793385e_bool(cOMBB_542850580_pname(P,Q),R) = hAPP_p61793385e_bool(P,hAPP_pname_pname(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO,axiom,
% 7.28/7.43 ! [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) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__009,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f282463732t_bool(cOMBB_164527437a_bool(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_fun_a_bool_nat(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f198738859l_bool(cOMBB_338059395a_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_fun_a_bool_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_011,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1794073134e_bool(cOMBB_1693087065a_bool(P,Q),R) = hAPP_p61793385e_bool(P,hAPP_f1128469712_pname(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__012,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f800510211t_bool(cOMBB_1250273980t_bool(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_f22106695ol_nat(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a85458249l_bool(cOMBB_472261505bool_a(P,Q),R) = hAPP_f1631501043l_bool(P,hAPP_a_fun_a_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_f103356543l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_013,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1748468828l_bool(cOMBB_444170502t_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f54304608l_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__014,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1066163005t_bool(cOMBB_1896684278e_bool(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_f921600141ol_nat(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_015,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f654413245e_bool(cOMBB_141086128t_bool(P,Q),R) = hAPP_p61793385e_bool(P,hAPP_f1291551745_pname(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_016,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_017,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f759274231e_bool(cOMBB_598082538e_bool(P,Q),R) = hAPP_p61793385e_bool(P,hAPP_f1297739591_pname(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___018,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(P,Q),R) = hAPP_f1631501043l_bool(P,hAPP_nat_fun_a_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(P),Q),R) = hAPP_f621171935l_bool(hAPP_f285962445l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___019,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_p1824510254l_bool(cOMBB_392435466_pname(P,Q),R) = hAPP_f1631501043l_bool(P,hAPP_p1534023578a_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a1392362872l_bool(cOMBB_743407885bool_a(P,Q),R) = hAPP_f103356543l_bool(P,hAPP_a_fun_nat_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_a217006258l_bool(cOMBB_1137537805bool_a(P,Q),R) = hAPP_f434788991l_bool(P,hAPP_a93125764e_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__020,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(P,Q),R) = hAPP_f103356543l_bool(P,hAPP_n1699378549t_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__021,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(P),Q),R) = hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__022,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_p130839763l_bool(cOMBB_928955006_pname(P,Q),R) = hAPP_f103356543l_bool(P,hAPP_p1499970991t_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_023,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(P,Q),R) = hAPP_f434788991l_bool(P,hAPP_n1025906991e_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_024,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(P),Q),R) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_025,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_p338031245l_bool(cOMBB_408569982_pname(P,Q),R) = hAPP_f434788991l_bool(P,hAPP_p61793385e_bool(Q,R)) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(P),Q),R) = hAPP_f621171935l_bool(hAPP_f1434722111l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(P),Q),R) = hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 7.28/7.43 ! [P,Q,R] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(P),Q),R) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q) ).
% 7.28/7.43
% 7.28/7.43 %----Conjectures (7)
% 7.28/7.43 fof(conj_0,hypothesis,
% 7.28/7.43 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)) ).
% 7.28/7.43
% 7.28/7.43 fof(conj_1,hypothesis,
% 7.28/7.43 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ).
% 7.28/7.43
% 7.28/7.43 fof(conj_2,hypothesis,
% 7.28/7.43 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)))) ).
% 7.28/7.43
% 7.28/7.43 fof(conj_3,hypothesis,
% 7.28/7.43 hAPP_fun_a_bool_nat(finite_card_a,g) = hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)) ).
% 7.28/7.43
% 7.28/7.43 fof(conj_4,hypothesis,
% 7.28/7.43 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)) ).
% 7.28/7.43
% 7.28/7.43 fof(conj_5,hypothesis,
% 7.28/7.43 ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)) ).
% 7.28/7.43
% 7.28/7.43 fof(conj_6,conjecture,
% 7.28/7.43 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))) ).
% 7.28/7.43
% 7.28/7.43 %------------------------------------------------------------------------------
% 7.28/7.43 %-------------------------------------------
% 7.28/7.43 % Proof found
% 7.28/7.43 % SZS status Theorem for theBenchmark
% 7.28/7.43 % SZS output start Proof
% 7.28/7.43 %ClaNum:1994(EqnAxiom:682)
% 7.28/7.43 %VarNum:5746(SingletonVarNum:2430)
% 7.28/7.43 %MaxLitNum:7
% 7.28/7.43 %MaxfuncDepth:7
% 7.28/7.43 %SharedTerms:188
% 7.28/7.43 %goalClause: 936
% 7.28/7.43 %singleGoalClaCount:1
% 7.28/7.43 [683]E(a1,a2)
% 7.28/7.43 [686]P1(a9)
% 7.28/7.43 [687]P1(a236)
% 7.28/7.43 [688]P7(a10)
% 7.28/7.43 [689]P7(a264)
% 7.28/7.43 [690]P2(a237)
% 7.28/7.43 [691]P2(a5)
% 7.28/7.43 [692]P3(a261)
% 7.28/7.43 [693]P3(a8)
% 7.28/7.43 [694]P4(a11)
% 7.28/7.43 [695]P4(a12)
% 7.28/7.43 [696]P4(a238)
% 7.28/7.43 [697]P8(a265)
% 7.28/7.43 [908]~P6(a12)
% 7.28/7.43 [684]E(f13(a12),a3)
% 7.28/7.43 [685]E(f14(a12),a4)
% 7.28/7.43 [702]P5(f397(a396))
% 7.28/7.43 [703]P8(f401(a393))
% 7.28/7.43 [706]E(f267(a394,a1),a377)
% 7.28/7.43 [711]P6(f268(a237,a9))
% 7.28/7.43 [712]P6(f269(a261,a10))
% 7.28/7.43 [713]P6(f269(a261,a264))
% 7.28/7.43 [714]P6(f295(a262,a3))
% 7.28/7.43 [715]P6(f312(a240,a5))
% 7.28/7.43 [716]P6(f296(a256,a8))
% 7.28/7.43 [717]P6(f270(a241,a4))
% 7.28/7.43 [698]E(f88(f85(a12)),a9)
% 7.28/7.43 [699]E(f100(f89(a12)),a10)
% 7.28/7.43 [700]E(f101(f86(a12)),a5)
% 7.28/7.43 [701]E(f90(f15(a12)),a8)
% 7.28/7.43 [744]P1(f402(f263(a396,a6)))
% 7.28/7.43 [745]P7(f398(f263(a393,a6)))
% 7.28/7.43 [749]P6(f269(f338(a369,a265),a264))
% 7.28/7.43 [851]P6(f268(f294(a386,a236),f332(a379,a264)))
% 7.28/7.43 [869]E(f267(f378(f324(a258,f332(a379,a264))),f267(a394,a380)),f324(a258,a236))
% 7.28/7.43 [936]~P6(f268(f294(a386,f88(f91(f36(a242,f280(f53(a245),f346(a379,a265))),f304(f54(a371),a236)))),f332(a379,a264)))
% 7.28/7.43 [857]P2(f399(f263(f263(a396,a6),a6)))
% 7.28/7.43 [858]P3(f400(f263(f263(a393,a6),a6)))
% 7.28/7.43 [875]P6(f330(f328(a384,f267(a394,a380)),f324(a258,f332(a379,a264))))
% 7.28/7.43 [928]~P6(f268(f277(a371,f346(a379,a265)),a236))
% 7.28/7.43 [704]P4(f403(x7041))
% 7.28/7.43 [705]P5(f266(x7051))
% 7.28/7.43 [707]E(f332(x7071,a10),a9)
% 7.28/7.43 [914]~E(f267(a394,x9141),a1)
% 7.28/7.43 [916]~E(f267(a394,x9161),x9161)
% 7.28/7.43 [708]E(f267(f378(a1),x7081),a1)
% 7.28/7.43 [709]E(f267(f378(x7091),a1),x7091)
% 7.28/7.43 [710]E(f267(f378(x7101),x7101),a1)
% 7.28/7.43 [718]E(f267(f382(a377),x7181),f267(a394,x7181))
% 7.28/7.43 [740]E(f267(f382(x7401),a377),f267(a394,x7401))
% 7.28/7.43 [743]E(f328(a384,f267(a394,x7431)),f328(a383,x7431))
% 7.28/7.43 [750]P6(f285(f273(a385,a11),x7501))
% 7.28/7.43 [751]P6(f330(f328(a384,a2),x7511))
% 7.28/7.43 [753]P6(f330(f328(a384,a1),x7531))
% 7.28/7.43 [755]P6(f268(f294(a386,a9),x7551))
% 7.28/7.43 [757]P6(f269(f310(a387,a10),x7571))
% 7.28/7.43 [759]P6(f295(f286(a388,a3),x7591))
% 7.28/7.43 [760]P6(f285(f273(a385,x7601),x7601))
% 7.28/7.43 [762]P6(f330(f328(a384,x7621),x7621))
% 7.28/7.43 [764]P6(f268(f294(a386,x7641),x7641))
% 7.28/7.43 [766]P6(f269(f310(a387,x7661),x7661))
% 7.28/7.43 [768]P6(f295(f286(a388,x7681),x7681))
% 7.28/7.43 [852]P6(f330(f328(a383,a1),f267(a394,x8521)))
% 7.28/7.43 [855]P6(f330(f328(a383,x8551),f267(a394,x8551)))
% 7.28/7.43 [917]~P6(f330(f328(a383,x9171),a1))
% 7.28/7.43 [919]~P6(f268(f277(a371,x9191),a9))
% 7.28/7.43 [921]~P6(f269(f338(a369,x9211),a10))
% 7.28/7.43 [923]~P6(f295(f329(a376,x9231),a3))
% 7.28/7.43 [925]~P6(f330(f328(a383,x9251),x9251))
% 7.28/7.43 [742]E(f301(a257,f328(f16(a383),x7421)),x7421)
% 7.28/7.43 [746]E(f301(a257,f328(f16(a384),x7461)),f267(a394,x7461))
% 7.28/7.43 [748]E(f267(f378(f267(a394,x7481)),a377),x7481)
% 7.28/7.43 [805]P6(f295(a262,f328(f16(a384),x8051)))
% 7.28/7.43 [806]P6(f295(a262,f328(f16(a383),x8061)))
% 7.28/7.43 [859]E(f95(f43(a242,f286(f64(a244),x8591)),f290(f59(a370),a4)),f286(a244,x8591))
% 7.28/7.43 [860]E(f96(f22(a242,f328(f16(a248),x8601)),f320(f68(a376),a3)),f328(a248,x8601))
% 7.28/7.43 [861]E(f95(f43(a242,f286(f64(a244),x8611)),f290(f59(a370),a4)),f286(f64(a244),x8611))
% 7.28/7.43 [862]E(f96(f22(a242,f328(f16(a248),x8621)),f320(f68(a376),a3)),f328(f16(a248),x8621))
% 7.28/7.43 [929]~P6(f330(f328(a384,f267(a394,x9291)),x9291))
% 7.28/7.43 [876]E(f88(f91(f36(a242,f280(f53(a245),x8761)),f304(f54(a371),a9))),f88(f280(a245,x8761)))
% 7.28/7.43 [877]E(f100(f92(f49(a242,f343(f55(a249),x8771)),f318(f56(a369),a10))),f100(f343(a249,x8771)))
% 7.28/7.43 [878]E(f101(f93(f41(a242,f294(f62(a247),x8781)),f306(f70(a375),a5))),f101(f294(a247,x8781)))
% 7.28/7.43 [879]E(f90(f94(f37(a242,f310(f58(a246),x8791)),f313(f71(a372),a8))),f90(f310(a246,x8791)))
% 7.28/7.43 [880]E(f88(f91(f36(a242,f280(f53(a245),x8801)),f304(f54(a371),a9))),f88(f280(f53(a245),x8801)))
% 7.28/7.43 [881]E(f100(f92(f49(a242,f343(f55(a249),x8811)),f318(f56(a369),a10))),f100(f343(f55(a249),x8811)))
% 7.28/7.43 [882]E(f101(f93(f41(a242,f294(f62(a247),x8821)),f306(f70(a375),a5))),f101(f294(f62(a247),x8821)))
% 7.28/7.43 [883]E(f90(f94(f37(a242,f310(f58(a246),x8831)),f313(f71(a372),a8))),f90(f310(f58(a246),x8831)))
% 7.28/7.43 [719]P1(f333(x7191,x7192))
% 7.28/7.43 [720]P1(f334(x7201,x7202))
% 7.28/7.43 [721]P1(f322(x7211,x7212))
% 7.28/7.43 [722]P1(f271(x7221,x7222))
% 7.28/7.43 [723]P7(f366(x7231,x7232))
% 7.28/7.43 [724]P7(f335(x7241,x7242))
% 7.28/7.43 [725]P7(f323(x7251,x7252))
% 7.28/7.43 [726]P7(f316(x7261,x7262))
% 7.28/7.43 [727]P2(f367(x7271,x7272))
% 7.28/7.43 [728]P2(f326(x7281,x7282))
% 7.28/7.43 [729]P3(f336(x7291,x7292))
% 7.28/7.43 [730]P3(f327(x7301,x7302))
% 7.28/7.43 [731]P4(f330(x7311,x7312))
% 7.28/7.43 [732]P4(f295(x7321,x7322))
% 7.28/7.43 [733]P4(f270(x7331,x7332))
% 7.28/7.43 [734]P4(f300(x7341,x7342))
% 7.28/7.43 [735]P4(f309(x7351,x7352))
% 7.28/7.43 [736]P4(f317(x7361,x7362))
% 7.28/7.43 [737]P5(f331(x7371,x7372))
% 7.28/7.43 [738]P8(f337(x7381,x7382))
% 7.28/7.43 [739]P8(f272(x7391,x7392))
% 7.28/7.43 [741]E(f267(f382(x7411),x7412),f267(f382(x7412),x7411))
% 7.28/7.43 [850]E(f267(f378(f267(a394,x8501)),f267(a394,x8502)),f267(f378(x8501),x8502))
% 7.28/7.43 [874]P6(f330(f328(a383,f267(f378(x8741),x8742)),f267(a394,x8741)))
% 7.28/7.43 [747]E(f267(f378(x7471),f267(f382(x7471),x7472)),a1)
% 7.28/7.43 [840]E(f267(f382(x8401),f267(a394,x8402)),f267(a394,f267(f382(x8401),x8402)))
% 7.28/7.43 [849]E(f267(f382(f267(a394,x8491)),x8492),f267(f382(x8491),f267(a394,x8492)))
% 7.28/7.43 [853]E(f267(f382(f267(a394,x8531)),x8532),f267(a394,f267(f382(x8531),x8532)))
% 7.28/7.43 [863]P6(f330(f328(a384,x8631),f267(f382(x8632),x8631)))
% 7.28/7.43 [864]P6(f330(f328(a384,x8641),f267(f382(x8641),x8642)))
% 7.28/7.43 [927]~E(f96(f22(a242,f328(f16(a248),x9271)),f320(f68(a376),x9272)),a3)
% 7.28/7.43 [841]E(f267(f378(f267(f382(x8411),x8412)),x8412),x8411)
% 7.28/7.43 [842]E(f267(f378(f267(f382(x8421),x8422)),x8421),x8422)
% 7.28/7.43 [856]E(f267(f378(f267(f378(x8561),a377)),x8562),f267(f378(x8561),f267(a394,x8562)))
% 7.28/7.43 [871]P6(f330(f328(a384,f267(f378(x8711),x8712)),x8711))
% 7.28/7.43 [872]P6(f330(f328(a383,x8721),f267(a394,f267(f382(x8722),x8721))))
% 7.28/7.43 [873]P6(f330(f328(a383,x8731),f267(a394,f267(f382(x8731),x8732))))
% 7.28/7.43 [884]P6(f295(a262,f96(f22(a243,x8841),f328(f16(a383),x8842))))
% 7.28/7.43 [888]P6(f295(f286(a388,x8881),f96(f22(a242,f328(f16(a248),x8882)),f320(f68(a376),x8881))))
% 7.28/7.43 [889]P6(f295(f329(a376,x8891),f96(f22(a242,f328(f16(a248),x8891)),f320(f68(a376),x8892))))
% 7.28/7.43 [930]~P6(f330(f328(a383,f267(f382(x9301),x9302)),x9302))
% 7.28/7.43 [931]~P6(f330(f328(a383,f267(f382(x9311),x9312)),x9311))
% 7.28/7.43 [934]~E(f88(f91(f36(a242,f280(f53(a245),x9341)),f304(f54(a371),x9342))),a9)
% 7.28/7.43 [935]~E(f100(f92(f49(a242,f343(f55(a249),x9351)),f318(f56(a369),x9352))),a10)
% 7.28/7.43 [885]E(f95(f43(a242,f286(f64(a244),x8851)),f290(f59(a370),x8852)),f95(f43(a250,f40(a239,f286(f64(a244),x8851))),x8852))
% 7.28/7.43 [886]E(f96(f22(a242,f328(f16(a248),x8861)),f320(f68(a376),x8862)),f96(f22(a250,f52(a239,f328(f16(a248),x8861))),x8862))
% 7.28/7.43 [894]E(f96(f22(a242,f328(f16(a248),x8941)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x8941)),f320(f68(a376),x8942)))),f96(f22(a242,f328(f16(a248),x8941)),f320(f68(a376),x8942)))
% 7.28/7.43 [899]P6(f268(f277(a371,x8991),f88(f91(f36(a242,f280(f53(a245),x8991)),f304(f54(a371),x8992)))))
% 7.28/7.43 [900]P6(f268(f294(a386,x9001),f88(f91(f36(a242,f280(f53(a245),x9002)),f304(f54(a371),x9001)))))
% 7.28/7.43 [901]P6(f269(f338(a369,x9011),f100(f92(f49(a242,f343(f55(a249),x9011)),f318(f56(a369),x9012)))))
% 7.28/7.43 [902]P6(f269(f310(a387,x9021),f100(f92(f49(a242,f343(f55(a249),x9022)),f318(f56(a369),x9021)))))
% 7.28/7.43 [890]E(f88(f91(f36(a242,f280(f53(a245),x8901)),f304(f54(a371),f88(x8902)))),f88(f91(f36(a250,f17(a239,f280(f53(a245),x8901))),x8902)))
% 7.28/7.43 [891]E(f100(f92(f49(a242,f343(f55(a249),x8911)),f318(f56(a369),f100(x8912)))),f100(f92(f49(a250,f47(a239,f343(f55(a249),x8911))),x8912)))
% 7.28/7.43 [892]E(f101(f93(f41(a242,f294(f62(a247),x8921)),f306(f70(a375),f101(x8922)))),f101(f93(f41(a250,f38(a239,f294(f62(a247),x8921))),x8922)))
% 7.28/7.43 [893]E(f90(f94(f37(a242,f310(f58(a246),x8931)),f313(f71(a372),f90(x8932)))),f90(f94(f37(a250,f39(a239,f310(f58(a246),x8931))),x8932)))
% 7.28/7.43 [904]E(f88(f91(f36(a242,f280(f53(a245),x9041)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x9041)),f304(f54(a371),x9042)))))),f88(f91(f36(a242,f280(f53(a245),x9041)),f304(f54(a371),x9042))))
% 7.28/7.43 [905]E(f100(f92(f49(a242,f343(f55(a249),x9051)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x9051)),f318(f56(a369),x9052)))))),f100(f92(f49(a242,f343(f55(a249),x9051)),f318(f56(a369),x9052))))
% 7.28/7.43 [769]E(f274(f17(x7691,x7692),x7693),f285(x7691,f274(x7692,x7693)))
% 7.28/7.43 [770]E(f280(f18(x7701,x7702),x7703),f280(x7701,f275(x7702,x7703)))
% 7.28/7.43 [771]E(f343(x7711,f281(x7712,x7713)),f276(f19(x7711,x7712),x7713))
% 7.28/7.43 [772]E(f277(f20(x7721,x7722),x7723),f294(x7721,f280(x7722,x7723)))
% 7.28/7.43 [773]E(f278(f21(x7731,x7732),x7733),f310(x7731,f276(x7732,x7733)))
% 7.28/7.43 [774]E(f345(f47(x7741,x7742),x7743),f285(x7741,f345(x7742,x7743)))
% 7.28/7.43 [775]E(f339(f23(x7751,x7752),x7753),f280(x7751,f346(x7752,x7753)))
% 7.28/7.43 [776]E(f343(f44(x7761,x7762),x7763),f343(x7761,f347(x7762,x7763)))
% 7.28/7.43 [777]E(f342(f33(x7771,x7772),x7773),f294(x7771,f339(x7772,x7773)))
% 7.28/7.43 [778]E(f338(f42(x7781,x7782),x7783),f310(x7781,f343(x7782,x7783)))
% 7.28/7.43 [779]E(f285(x7791,f330(x7792,x7793)),f330(f52(x7791,x7792),x7793))
% 7.28/7.43 [780]E(f280(x7801,f331(x7802,x7803)),f322(f24(x7801,x7802),x7803))
% 7.28/7.43 [781]E(f343(x7811,f337(x7812,x7813)),f323(f25(x7811,x7812),x7813))
% 7.28/7.43 [782]E(f294(x7821,f322(x7822,x7823)),f326(f26(x7821,x7822),x7823))
% 7.28/7.43 [783]E(f310(x7831,f323(x7832,x7833)),f327(f34(x7831,x7832),x7833))
% 7.28/7.43 [784]E(f285(x7841,f268(x7842,x7843)),f268(f38(x7841,x7842),x7843))
% 7.28/7.43 [785]E(f297(f27(x7851,x7852),x7853),f343(x7851,f287(x7852,x7853)))
% 7.28/7.43 [786]E(f285(x7861,f269(x7862,x7863)),f269(f39(x7861,x7862),x7863))
% 7.28/7.43 [787]E(f318(f46(x7871,x7872),x7873),f343(x7871,f291(x7872,x7873)))
% 7.28/7.43 [788]E(f285(x7881,f295(x7882,x7883)),f295(f40(x7881,x7882),x7883))
% 7.28/7.43 [789]E(f343(x7891,f272(x7892,x7893)),f316(f28(x7891,x7892),x7893))
% 7.28/7.43 [790]E(f328(f48(x7901,x7902),x7903),f328(x7901,f267(x7902,x7903)))
% 7.28/7.43 [791]E(f329(f35(x7911,x7912),x7913),f286(x7911,f328(x7912,x7913)))
% 7.28/7.43 [792]E(f320(f29(x7921,x7922),x7923),f328(x7921,f301(x7922,x7923)))
% 7.28/7.43 [793]E(f340(f45(x7931,x7932),x7933),f328(x7931,f348(x7932,x7933)))
% 7.28/7.43 [794]E(f341(f51(x7941,x7942),x7943),f286(x7941,f340(x7942,x7943)))
% 7.28/7.43 [795]E(f282(f30(x7951,x7952),x7953),f328(x7951,f284(x7952,x7953)))
% 7.28/7.43 [796]E(f288(f32(x7961,x7962),x7963),f328(x7961,f321(x7962,x7963)))
% 7.28/7.43 [797]E(f307(f31(x7971,x7972),x7973),f328(x7971,f324(x7972,x7973)))
% 7.28/7.43 [798]E(f283(f36(x7981,x7982),x7983),f273(x7981,f274(x7982,x7983)))
% 7.28/7.43 [799]E(f325(f22(x7991,x7992),x7993),f273(x7991,f330(x7992,x7993)))
% 7.28/7.43 [800]E(f344(f49(x8001,x8002),x8003),f273(x8001,f345(x8002,x8003)))
% 7.28/7.43 [801]E(f279(f50(x8011,x8012),x8013),f286(x8011,f282(x8012,x8013)))
% 7.28/7.43 [802]E(f302(f41(x8021,x8022),x8023),f273(x8021,f268(x8022,x8023)))
% 7.28/7.43 [803]E(f298(f43(x8031,x8032),x8033),f273(x8031,f295(x8032,x8033)))
% 7.28/7.43 [804]E(f292(f37(x8041,x8042),x8043),f273(x8041,f269(x8042,x8043)))
% 7.28/7.43 [843]E(f285(f283(x8431,x8432),f274(x8433,x8432)),f274(f91(x8431,x8433),x8432))
% 7.28/7.43 [844]E(f285(f344(x8441,x8442),f345(x8443,x8442)),f345(f92(x8441,x8443),x8442))
% 7.28/7.43 [845]E(f285(f325(x8451,x8452),f330(x8453,x8452)),f330(f96(x8451,x8453),x8452))
% 7.28/7.43 [846]E(f285(f302(x8461,x8462),f268(x8463,x8462)),f268(f93(x8461,x8463),x8462))
% 7.28/7.43 [847]E(f285(f292(x8471,x8472),f269(x8473,x8472)),f269(f94(x8471,x8473),x8472))
% 7.28/7.43 [848]E(f285(f298(x8481,x8482),f295(x8483,x8482)),f295(f95(x8481,x8483),x8482))
% 7.28/7.43 [807]E(f274(f280(f53(x8071),x8072),x8073),f274(f280(x8071,x8073),x8072))
% 7.28/7.43 [808]E(f274(f339(f79(x8081),x8082),x8083),f345(f276(x8081,x8083),x8082))
% 7.28/7.43 [809]E(f274(f322(f80(x8091),x8092),x8093),f330(f282(x8091,x8093),x8092))
% 7.28/7.43 [810]E(f274(f304(f54(x8101),x8102),x8103),f268(f277(x8101,x8103),x8102))
% 7.28/7.43 [811]E(f274(f289(f60(x8111),x8112),x8113),f269(f278(x8111,x8113),x8112))
% 7.28/7.43 [812]E(f274(f271(f65(x8121),x8122),x8123),f295(f279(x8121,x8123),x8122))
% 7.28/7.43 [813]E(f345(f276(f82(x8131),x8132),x8133),f274(f339(x8131,x8133),x8132))
% 7.28/7.43 [814]E(f345(f343(f55(x8141),x8142),x8143),f345(f343(x8141,x8143),x8142))
% 7.28/7.43 [815]E(f345(f323(f84(x8151),x8152),x8153),f330(f340(x8151,x8153),x8152))
% 7.28/7.43 [816]E(f345(f297(f66(x8161),x8162),x8163),f268(f342(x8161,x8163),x8162))
% 7.28/7.43 [817]E(f345(f318(f56(x8171),x8172),x8173),f269(f338(x8171,x8173),x8172))
% 7.28/7.43 [818]E(f345(f316(f67(x8181),x8182),x8183),f295(f341(x8181,x8183),x8182))
% 7.28/7.43 [819]E(f330(f328(f16(x8191),x8192),x8193),f330(f328(x8191,x8193),x8192))
% 7.28/7.43 [820]E(f330(f320(f68(x8201),x8202),x8203),f295(f329(x8201,x8203),x8202))
% 7.28/7.43 [821]E(f330(f340(f83(x8211),x8212),x8213),f345(f323(x8211,x8213),x8212))
% 7.28/7.43 [822]E(f330(f282(f81(x8221),x8222),x8223),f274(f322(x8221,x8223),x8222))
% 7.28/7.43 [823]E(f330(f288(f72(x8231),x8232),x8233),f269(f327(x8231,x8233),x8232))
% 7.28/7.43 [824]E(f330(f307(f69(x8241),x8242),x8243),f268(f326(x8241,x8243),x8242))
% 7.28/7.43 [825]E(f268(f342(f61(x8251),x8252),x8253),f345(f297(x8251,x8253),x8252))
% 7.28/7.43 [826]E(f268(f326(f75(x8261),x8262),x8263),f330(f307(x8261,x8263),x8262))
% 7.28/7.43 [827]E(f268(f294(f62(x8271),x8272),x8273),f268(f294(x8271,x8273),x8272))
% 7.28/7.43 [828]E(f268(f306(f70(x8281),x8282),x8283),f312(f308(x8281,x8283),x8282))
% 7.28/7.43 [829]E(f269(f338(f57(x8291),x8292),x8293),f345(f318(x8291,x8293),x8292))
% 7.28/7.43 [830]E(f269(f327(f63(x8301),x8302),x8303),f330(f288(x8301,x8303),x8302))
% 7.28/7.43 [831]E(f269(f310(f58(x8311),x8312),x8313),f269(f310(x8311,x8313),x8312))
% 7.28/7.43 [832]E(f269(f313(f71(x8321),x8322),x8323),f296(f314(x8321,x8323),x8322))
% 7.28/7.43 [833]E(f295(f286(f64(x8331),x8332),x8333),f295(f286(x8331,x8333),x8332))
% 7.28/7.43 [834]E(f295(f329(f73(x8341),x8342),x8343),f330(f320(x8341,x8343),x8342))
% 7.28/7.43 [835]E(f295(f290(f59(x8351),x8352),x8353),f270(f303(x8351,x8353),x8352))
% 7.28/7.43 [836]E(f295(f341(f76(x8361),x8362),x8363),f345(f316(x8361,x8363),x8362))
% 7.28/7.43 [837]E(f312(f293(f74(x8371),x8372),x8373),f312(f293(x8371,x8373),x8372))
% 7.28/7.43 [838]E(f296(f311(f78(x8381),x8382),x8383),f296(f311(x8381,x8383),x8382))
% 7.28/7.43 [839]E(f270(f299(f77(x8391),x8392),x8393),f270(f299(x8391,x8393),x8392))
% 7.28/7.43 [854]E(f267(f382(x8541),f267(f382(x8542),x8543)),f267(f382(x8542),f267(f382(x8541),x8543)))
% 7.28/7.43 [867]E(f267(f378(f267(f382(x8671),x8672)),f267(f382(x8673),x8672)),f267(f378(x8671),x8673))
% 7.28/7.43 [868]E(f267(f378(f267(f382(x8681),x8682)),f267(f382(x8681),x8683)),f267(f378(x8682),x8683))
% 7.28/7.43 [865]E(f267(f378(f267(f378(x8651),x8652)),x8653),f267(f378(x8651),f267(f382(x8652),x8653)))
% 7.28/7.43 [866]E(f267(f382(f267(f382(x8661),x8662)),x8663),f267(f382(x8661),f267(f382(x8662),x8663)))
% 7.28/7.43 [870]E(f267(f378(f267(f378(x8701),x8702)),x8703),f267(f378(f267(f378(x8701),x8703)),x8702))
% 7.28/7.43 [887]E(f267(f378(f267(f378(f267(a394,x8871)),x8872)),f267(a394,x8873)),f267(f378(f267(f378(x8871),x8872)),x8873))
% 7.28/7.43 [896]E(f88(f91(f36(a242,f280(f53(a245),f331(x8961,x8962))),f304(f54(a371),f333(x8961,x8963)))),f333(x8961,f96(f22(a242,f328(f16(a248),x8962)),f320(f68(a376),x8963))))
% 7.28/7.43 [895]E(f96(f22(a242,f328(f16(a248),f284(x8951,x8952))),f320(f68(a376),f353(x8951,x8953))),f353(x8951,f88(f91(f36(a242,f280(f53(a245),x8952)),f304(f54(a371),x8953)))))
% 7.28/7.43 [897]E(f100(f92(f49(a242,f343(f55(a249),f281(x8971,x8972))),f318(f56(a369),f363(x8971,x8973)))),f363(x8971,f88(f91(f36(a242,f280(f53(a245),x8972)),f304(f54(a371),x8973)))))
% 7.28/7.43 [898]E(f88(f91(f36(a242,f280(f53(a245),f346(x8981,x8982))),f304(f54(a371),f332(x8981,x8983)))),f332(x8981,f100(f92(f49(a242,f343(f55(a249),x8982)),f318(f56(a369),x8983)))))
% 7.28/7.43 [903]E(f96(f22(a242,f328(f16(a248),x9031)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x9032)),f320(f68(a376),x9033)))),f96(f22(a242,f328(f16(a248),x9032)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x9031)),f320(f68(a376),x9033)))))
% 7.28/7.43 [906]E(f88(f91(f36(a242,f280(f53(a245),x9061)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x9062)),f304(f54(a371),x9063)))))),f88(f91(f36(a242,f280(f53(a245),x9062)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x9061)),f304(f54(a371),x9063)))))))
% 7.28/7.43 [907]E(f100(f92(f49(a242,f343(f55(a249),x9071)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x9072)),f318(f56(a369),x9073)))))),f100(f92(f49(a242,f343(f55(a249),x9072)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x9071)),f318(f56(a369),x9073)))))))
% 7.28/7.43 [938]~P1(x9381)+E(f88(x9381),x9381)
% 7.28/7.43 [939]~P7(x9391)+E(f100(x9391),x9391)
% 7.28/7.43 [940]~P2(x9401)+E(f101(x9401),x9401)
% 7.28/7.43 [941]~P3(x9411)+E(f90(x9411),x9411)
% 7.28/7.43 [942]P5(f102(x9421))+E(f88(x9421),a9)
% 7.28/7.43 [943]P8(f103(x9431))+E(f100(x9431),a10)
% 7.28/7.43 [944]P1(f228(x9441))+E(f101(x9441),a5)
% 7.28/7.43 [945]P7(f229(x9451))+E(f90(x9451),a8)
% 7.28/7.43 [946]P5(f104(x9461))+E(f88(x9461),a9)
% 7.28/7.43 [947]P8(f105(x9471))+E(f100(x9471),a10)
% 7.28/7.43 [948]P1(f223(x9481))+E(f101(x9481),a5)
% 7.28/7.43 [949]P7(f224(x9491))+E(f90(x9491),a8)
% 7.28/7.43 [950]~P4(x9501)+P1(f85(x9501))
% 7.28/7.43 [951]~P1(x9511)+P1(f88(x9511))
% 7.28/7.43 [952]~P4(x9521)+P7(f89(x9521))
% 7.28/7.43 [953]~P7(x9531)+P7(f100(x9531))
% 7.28/7.43 [954]~P4(x9541)+P2(f86(x9541))
% 7.28/7.43 [955]~P2(x9551)+P2(f101(x9551))
% 7.28/7.43 [956]~P1(x9561)+P2(f392(x9561))
% 7.28/7.43 [957]~P4(x9571)+P3(f15(x9571))
% 7.28/7.43 [958]~P3(x9581)+P3(f90(x9581))
% 7.28/7.43 [975]P6(x9751)+P6(f285(a239,x9751))
% 7.28/7.43 [977]~P6(a11)+P6(f274(a9,x9771))
% 7.28/7.43 [979]~P6(a11)+P6(f345(a10,x9791))
% 7.28/7.43 [981]~P6(a11)+P6(f330(a3,x9811))
% 7.28/7.43 [1038]P6(a11)+~P6(f274(a9,x10381))
% 7.28/7.43 [1040]P6(a11)+~P6(f345(a10,x10401))
% 7.28/7.43 [1042]P6(a11)+~P6(f330(a3,x10421))
% 7.28/7.43 [1055]~P6(x10551)+~P6(f285(a239,x10551))
% 7.28/7.43 [1029]E(x10291,a3)+P6(f330(x10291,f226(x10291)))
% 7.28/7.43 [1030]E(x10301,a4)+P6(f295(x10301,f225(x10301)))
% 7.28/7.43 [1031]E(a3,x10311)+P6(f330(x10311,f233(x10311)))
% 7.28/7.43 [1032]E(a4,x10321)+P6(f295(x10321,f230(x10321)))
% 7.28/7.43 [1043]E(f88(x10431),a9)+P6(f274(x10431,f102(x10431)))
% 7.28/7.43 [1044]E(f100(x10441),a10)+P6(f345(x10441,f103(x10441)))
% 7.28/7.43 [1045]E(f101(x10451),a5)+P6(f268(x10451,f228(x10451)))
% 7.28/7.43 [1046]E(f90(x10461),a8)+P6(f269(x10461,f229(x10461)))
% 7.28/7.43 [1047]E(f88(x10471),a9)+P6(f274(x10471,f104(x10471)))
% 7.28/7.43 [1048]E(f100(x10481),a10)+P6(f345(x10481,f105(x10481)))
% 7.28/7.43 [1049]E(f101(x10491),a5)+P6(f268(x10491,f223(x10491)))
% 7.28/7.43 [1050]E(f90(x10501),a8)+P6(f269(x10501,f224(x10501)))
% 7.28/7.43 [1155]E(x11551,a3)+~P6(f295(f286(a388,x11551),a3))
% 7.28/7.43 [1157]E(x11571,a2)+~P6(f330(f328(a384,x11571),a2))
% 7.28/7.43 [1158]E(x11581,a1)+~P6(f330(f328(a384,x11581),a1))
% 7.28/7.43 [1139]E(x11391,a3)+P6(f295(f329(a376,f234(x11391)),x11391))
% 7.28/7.43 [1140]E(x11401,a3)+P6(f295(f329(a376,f108(x11401)),x11401))
% 7.28/7.43 [1207]~P6(f295(a262,x12071))+P6(f270(a241,f286(f64(a388),x12071)))
% 7.28/7.43 [1233]~P6(f269(f338(a369,x12331),a264))+P6(f403(f395(f7(x12331))))
% 7.28/7.43 [1302]~P6(f268(a237,x13021))+P6(f312(a240,f101(f294(f62(a386),x13021))))
% 7.28/7.43 [1303]~P6(f269(a261,x13031))+P6(f296(a256,f90(f310(f58(a387),x13031))))
% 7.28/7.43 [1304]~P6(f312(a240,x13041))+P6(f300(a251,f99(f293(f74(a389),x13041))))
% 7.28/7.43 [1305]~P6(f296(a256,x13051))+P6(f309(a259,f97(f311(f78(a391),x13051))))
% 7.28/7.44 [1306]~P6(f270(a241,x13061))+P6(f317(a254,f98(f299(f77(a390),x13061))))
% 7.28/7.44 [982]~P1(x9822)+P1(f17(x9821,x9822))
% 7.28/7.44 [983]~P1(x9832)+P1(f91(x9831,x9832))
% 7.28/7.44 [984]~P1(x9842)+P1(f354(x9841,x9842))
% 7.28/7.44 [985]~P7(x9852)+P1(f332(x9851,x9852))
% 7.28/7.44 [986]~P2(x9862)+P1(f364(x9861,x9862))
% 7.28/7.44 [987]~P3(x9872)+P1(f355(x9871,x9872))
% 7.28/7.44 [988]~P5(x9882)+P1(f280(x9881,x9882))
% 7.28/7.44 [989]~P8(x9892)+P1(f339(x9891,x9892))
% 7.28/7.44 [990]~P1(x9902)+P1(f304(x9901,x9902))
% 7.28/7.44 [991]~P7(x9912)+P1(f289(x9911,x9912))
% 7.28/7.44 [992]~P7(x9922)+P7(f47(x9921,x9922))
% 7.28/7.44 [993]~P7(x9932)+P7(f92(x9931,x9932))
% 7.28/7.44 [994]~P1(x9942)+P7(f363(x9941,x9942))
% 7.28/7.44 [995]~P7(x9952)+P7(f373(x9951,x9952))
% 7.28/7.44 [996]~P2(x9962)+P7(f352(x9961,x9962))
% 7.28/7.44 [997]~P3(x9972)+P7(f349(x9971,x9972))
% 7.28/7.44 [998]~P5(x9982)+P7(f276(x9981,x9982))
% 7.28/7.44 [999]~P8(x9992)+P7(f343(x9991,x9992))
% 7.28/7.44 [1000]~P1(x10002)+P7(f297(x10001,x10002))
% 7.28/7.44 [1001]~P7(x10012)+P7(f318(x10011,x10012))
% 7.28/7.44 [1002]~P2(x10022)+P2(f38(x10021,x10022))
% 7.28/7.44 [1003]~P2(x10032)+P2(f93(x10031,x10032))
% 7.28/7.44 [1004]~P1(x10042)+P2(f361(x10041,x10042))
% 7.28/7.44 [1005]~P7(x10052)+P2(f350(x10051,x10052))
% 7.28/7.44 [1006]~P5(x10062)+P2(f277(x10061,x10062))
% 7.28/7.44 [1007]~P8(x10072)+P2(f342(x10071,x10072))
% 7.28/7.44 [1008]~P1(x10082)+P2(f294(x10081,x10082))
% 7.28/7.44 [1009]~P2(x10092)+P2(f306(x10091,x10092))
% 7.28/7.44 [1010]~P3(x10102)+P3(f39(x10101,x10102))
% 7.28/7.44 [1011]~P3(x10112)+P3(f94(x10111,x10112))
% 7.28/7.44 [1012]~P1(x10122)+P3(f356(x10121,x10122))
% 7.28/7.44 [1013]~P7(x10132)+P3(f357(x10131,x10132))
% 7.28/7.44 [1014]~P5(x10142)+P3(f278(x10141,x10142))
% 7.28/7.44 [1015]~P8(x10152)+P3(f338(x10151,x10152))
% 7.28/7.44 [1016]~P7(x10162)+P3(f310(x10161,x10162))
% 7.28/7.44 [1017]~P3(x10172)+P3(f313(x10171,x10172))
% 7.28/7.44 [1018]~P4(x10182)+P4(f285(x10181,x10182))
% 7.28/7.44 [1019]~P2(x10192)+P4(f312(x10191,x10192))
% 7.28/7.44 [1020]~P3(x10202)+P4(f296(x10201,x10202))
% 7.28/7.44 [1021]~P5(x10212)+P5(f275(x10211,x10212))
% 7.28/7.44 [1022]~P8(x10222)+P5(f346(x10221,x10222))
% 7.28/7.44 [1023]~P5(x10232)+P8(f281(x10231,x10232))
% 7.28/7.44 [1024]~P8(x10242)+P8(f347(x10241,x10242))
% 7.28/7.44 [1025]~P1(x10252)+P8(f287(x10251,x10252))
% 7.28/7.44 [1026]~P7(x10262)+P8(f291(x10261,x10262))
% 7.28/7.44 [1028]E(x10281,x10282)+~E(f267(a394,x10281),f267(a394,x10282))
% 7.28/7.44 [1051]~E(x10511,a3)+~P6(f330(x10511,x10512))
% 7.28/7.44 [1052]~E(x10521,a4)+~P6(f295(x10521,x10522))
% 7.28/7.44 [1053]~E(a3,x10531)+~P6(f330(x10531,x10532))
% 7.28/7.44 [1054]~E(a4,x10541)+~P6(f295(x10541,x10542))
% 7.28/7.44 [965]~P4(x9651)+E(f274(f85(x9651),x9652),x9651)
% 7.28/7.44 [966]~P5(x9661)+E(f346(f87(x9661),x9662),x9661)
% 7.28/7.44 [967]~P4(x9671)+E(f345(f89(x9671),x9672),x9671)
% 7.28/7.44 [968]~P4(x9681)+E(f330(f13(x9681),x9682),x9681)
% 7.28/7.44 [969]~P4(x9691)+E(f268(f86(x9691),x9692),x9691)
% 7.28/7.44 [970]~P4(x9701)+E(f269(f15(x9701),x9702),x9701)
% 7.28/7.44 [971]~P4(x9711)+E(f295(f14(x9711),x9712),x9711)
% 7.28/7.44 [1083]~E(x10831,x10832)+P6(f274(f280(a245,x10831),x10832))
% 7.28/7.44 [1084]~E(x10841,x10842)+P6(f345(f343(a249,x10841),x10842))
% 7.28/7.44 [1090]~E(x10901,x10902)+P6(f330(f328(a384,x10901),x10902))
% 7.28/7.44 [1091]~E(x10911,x10912)+P6(f330(f328(a248,x10911),x10912))
% 7.28/7.44 [1092]~E(x10922,x10921)+P6(f268(f294(a386,x10921),x10922))
% 7.28/7.44 [1096]~E(x10961,x10962)+P6(f268(f294(a386,x10961),x10962))
% 7.28/7.44 [1097]~E(x10971,x10972)+P6(f268(f294(a247,x10971),x10972))
% 7.28/7.44 [1098]~E(x10982,x10981)+P6(f269(f310(a387,x10981),x10982))
% 7.28/7.44 [1102]~E(x11021,x11022)+P6(f269(f310(a387,x11021),x11022))
% 7.28/7.44 [1103]~E(x11031,x11032)+P6(f269(f310(a246,x11031),x11032))
% 7.28/7.44 [1104]~E(x11042,x11041)+P6(f295(f286(a388,x11041),x11042))
% 7.28/7.44 [1112]~E(x11121,x11122)+P6(f295(f286(a388,x11121),x11122))
% 7.28/7.44 [1113]~E(x11131,x11132)+P6(f295(f286(a244,x11131),x11132))
% 7.28/7.44 [1114]P6(x11141)+P6(f285(f273(a250,x11141),x11142))
% 7.28/7.44 [1120]~P6(x11202)+P6(f285(f273(a242,x11201),x11202))
% 7.28/7.44 [1121]~P6(x11211)+P6(f285(f273(a242,x11211),x11212))
% 7.28/7.44 [1122]~P6(x11222)+P6(f285(f273(a250,x11221),x11222))
% 7.28/7.44 [1141]P5(f109(x11411,x11412))+P6(f268(f294(a386,x11412),x11411))
% 7.28/7.44 [1142]P5(f209(x11421,x11422))+P6(f268(f294(a386,x11421),x11422))
% 7.28/7.44 [1143]P8(f110(x11431,x11432))+P6(f269(f310(a387,x11432),x11431))
% 7.28/7.44 [1144]P8(f210(x11441,x11442))+P6(f269(f310(a387,x11441),x11442))
% 7.28/7.44 [1145]~E(f267(f378(x11451),x11452),a1)+P6(f330(f328(a384,x11451),x11452))
% 7.28/7.44 [1159]E(x11591,x11592)+~P6(f330(f328(a248,x11591),x11592))
% 7.28/7.44 [1160]E(x11601,x11602)+~P6(f295(f286(a244,x11601),x11602))
% 7.28/7.44 [1162]~E(x11621,a9)+~P6(f268(f277(a371,x11622),x11621))
% 7.28/7.44 [1163]~E(x11631,a10)+~P6(f269(f338(a369,x11632),x11631))
% 7.28/7.44 [1165]~E(x11651,a3)+~P6(f295(f329(a376,x11652),x11651))
% 7.28/7.44 [1166]~P6(f269(a261,x11662))+P6(f268(a237,f332(x11661,x11662)))
% 7.28/7.44 [1167]~P6(f295(a262,x11672))+P6(f268(a237,f333(x11671,x11672)))
% 7.28/7.44 [1168]~P6(f268(a237,x11682))+P6(f269(a261,f363(x11681,x11682)))
% 7.28/7.44 [1169]~P6(f312(a240,x11692))+P6(f269(a261,f352(x11691,x11692)))
% 7.28/7.44 [1170]~P6(f296(a256,x11702))+P6(f269(a261,f349(x11701,x11702)))
% 7.28/7.44 [1171]~P6(f270(a241,x11712))+P6(f269(a261,f335(x11711,x11712)))
% 7.28/7.44 [1172]~P6(f268(a237,x11722))+P6(f295(a262,f353(x11721,x11722)))
% 7.28/7.44 [1173]~P6(f270(a241,x11732))+P6(f295(a262,f360(x11731,x11732)))
% 7.28/7.44 [1174]~P6(f296(a256,x11742))+P6(f295(a262,f351(x11741,x11742)))
% 7.28/7.44 [1175]~P6(f312(a240,x11752))+P6(f295(a262,f365(x11751,x11752)))
% 7.28/7.44 [1176]~P6(f269(a261,x11762))+P6(f312(a240,f350(x11761,x11762)))
% 7.28/7.44 [1177]~P6(f295(a262,x11772))+P6(f312(a240,f367(x11771,x11772)))
% 7.28/7.44 [1178]~P6(f269(a261,x11782))+P6(f296(a256,f357(x11781,x11782)))
% 7.28/7.44 [1179]~P6(f295(a262,x11792))+P6(f296(a256,f336(x11791,x11792)))
% 7.28/7.44 [1180]~P6(f269(a261,x11802))+P6(f270(a241,f358(x11801,x11802)))
% 7.28/7.44 [1181]~P6(f295(a262,x11812))+P6(f270(a241,f359(x11811,x11812)))
% 7.28/7.44 [1186]~E(x11861,x11862)+~P6(f330(f328(a383,x11861),x11862))
% 7.28/7.44 [1193]~P6(f274(x11932,x11931))+P6(f268(f277(a371,x11931),x11932))
% 7.28/7.44 [1194]~P6(f345(x11942,x11941))+P6(f269(f338(a369,x11941),x11942))
% 7.28/7.44 [1195]~P6(f330(x11952,x11951))+P6(f295(f329(a376,x11951),x11952))
% 7.28/7.44 [1196]P6(x11961)+~P6(f285(f273(a243,x11962),x11961))
% 7.28/7.44 [1197]P6(x11971)+~P6(f285(f273(a243,x11971),x11972))
% 7.28/7.44 [1202]~E(x12021,x12022)+P6(f330(f328(a383,x12021),f267(a394,x12022)))
% 7.28/7.44 [1218]E(f267(f378(x12181),x12182),a1)+~P6(f330(f328(a384,x12181),x12182))
% 7.28/7.44 [1224]P6(f274(x12241,x12242))+~P6(f268(f277(a371,x12242),x12241))
% 7.28/7.44 [1225]P6(f345(x12251,x12252))+~P6(f269(f338(a369,x12252),x12251))
% 7.28/7.44 [1226]P6(f330(x12261,x12262))+~P6(f295(f329(a376,x12262),x12261))
% 7.28/7.44 [1229]P6(f330(f328(a384,x12292),x12291))+P6(f330(f328(a384,x12291),x12292))
% 7.28/7.44 [1234]P6(f268(f392(x12341),x12342))+~P6(f268(f294(a386,x12342),x12341))
% 7.28/7.44 [1235]E(f267(f382(x12351),f131(x12351,x12352)),x12352)+~P6(f330(f328(a384,x12351),x12352))
% 7.28/7.44 [1273]~P6(f330(f328(a383,x12731),x12732))+P6(f330(f328(a384,x12731),x12732))
% 7.28/7.44 [1281]P6(f330(f328(a383,x12811),x12812))+P6(f330(f328(a383,x12812),f267(a394,x12811)))
% 7.28/7.44 [1321]~P6(f330(f328(a384,x13211),x13212))+P6(f330(f328(a384,x13211),f267(a394,x13212)))
% 7.28/7.44 [1323]~P6(f330(f328(a384,x13231),x13232))+P6(f330(f328(a383,x13231),f267(a394,x13232)))
% 7.28/7.44 [1325]~P6(f330(f328(a383,x13251),x13252))+P6(f330(f328(a383,x13251),f267(a394,x13252)))
% 7.28/7.44 [1371]P6(f330(f328(a384,x13711),x13712))+~P6(f330(f328(a383,x13711),f267(a394,x13712)))
% 7.28/7.44 [1450]~P6(f330(f328(a383,x14501),x14502))+~P6(f330(f328(a383,x14502),f267(a394,x14501)))
% 7.28/7.44 [1521]~P6(f330(f328(a384,x15211),x15212))+P6(f330(f328(a384,f267(a394,x15211)),f267(a394,x15212)))
% 7.28/7.44 [1523]~P6(f330(f328(a383,x15231),x15232))+P6(f330(f328(a383,f267(a394,x15231)),f267(a394,x15232)))
% 7.28/7.44 [1627]P6(f330(f328(a384,x16271),x16272))+~P6(f330(f328(a384,f267(a394,x16271)),f267(a394,x16272)))
% 7.28/7.44 [1629]P6(f330(f328(a383,x16291),x16292))+~P6(f330(f328(a383,f267(a394,x16291)),f267(a394,x16292)))
% 7.28/7.44 [1656]~P6(f268(a237,x16562))+P6(f330(f328(a384,f321(a260,f363(x16561,x16562))),f324(a258,x16562)))
% 7.28/7.44 [1657]~P6(f269(a261,x16572))+P6(f330(f328(a384,f321(a260,f373(x16571,x16572))),f321(a260,x16572)))
% 7.28/7.44 [1658]~P6(f295(a262,x16582))+P6(f330(f328(a384,f321(a260,f366(x16581,x16582))),f301(a257,x16582)))
% 7.28/7.44 [1659]~P6(f268(a237,x16592))+P6(f330(f328(a384,f324(a258,f354(x16591,x16592))),f324(a258,x16592)))
% 7.28/7.44 [1660]~P6(f269(a261,x16602))+P6(f330(f328(a384,f324(a258,f332(x16601,x16602))),f321(a260,x16602)))
% 7.28/7.44 [1661]~P6(f312(a240,x16612))+P6(f330(f328(a384,f324(a258,f364(x16611,x16612))),f305(a253,x16612)))
% 7.28/7.44 [1662]~P6(f296(a256,x16622))+P6(f330(f328(a384,f324(a258,f355(x16621,x16622))),f315(a252,x16622)))
% 7.28/7.44 [1663]~P6(f270(a241,x16632))+P6(f330(f328(a384,f324(a258,f334(x16631,x16632))),f319(a255,x16632)))
% 7.28/7.44 [1664]~P6(f268(a237,x16642))+P6(f330(f328(a384,f301(a257,f353(x16641,x16642))),f324(a258,x16642)))
% 7.28/7.44 [1665]~P6(f270(a241,x16652))+P6(f330(f328(a384,f301(a257,f360(x16651,x16652))),f319(a255,x16652)))
% 7.28/7.44 [1666]~P6(f296(a256,x16662))+P6(f330(f328(a384,f301(a257,f351(x16661,x16662))),f315(a252,x16662)))
% 7.28/7.44 [1667]~P6(f312(a240,x16672))+P6(f330(f328(a384,f301(a257,f365(x16671,x16672))),f305(a253,x16672)))
% 7.28/7.44 [1668]~P6(f269(a261,x16682))+P6(f330(f328(a384,f301(a257,f374(x16681,x16682))),f321(a260,x16682)))
% 7.28/7.44 [1151]P6(f295(x11512,x11511))+E(f95(f43(a243,f286(a244,x11511)),x11512),a4)
% 7.28/7.44 [1152]P6(f330(x11522,x11521))+E(f96(f22(a243,f328(a248,x11521)),x11522),a3)
% 7.28/7.44 [1208]E(f267(f382(x12081),f267(f378(x12082),x12081)),x12082)+P6(f330(f328(a383,x12082),x12081))
% 7.28/7.44 [1239]E(f267(f378(x12391),f267(f378(x12391),x12392)),x12392)+~P6(f330(f328(a384,x12392),x12391))
% 7.28/7.44 [1240]E(f267(f382(x12401),f267(f378(x12402),x12401)),x12402)+~P6(f330(f328(a384,x12401),x12402))
% 7.28/7.44 [1294]P6(f295(a262,x12941))+P6(f295(f329(a376,f134(x12942,x12941)),x12941))
% 7.28/7.44 [1295]P6(f295(a262,x12951))+P6(f295(f329(a376,f211(x12951,x12952)),x12951))
% 7.28/7.44 [1296]P6(f295(a262,x12961))+P6(f295(f329(a376,f135(x12961,x12962)),x12961))
% 7.28/7.44 [1307]~P6(f295(a262,x13072))+P6(f295(a262,f96(f22(a243,x13071),x13072)))
% 7.28/7.44 [1308]~P6(f295(a262,x13081))+P6(f295(a262,f96(f22(a243,x13081),x13082)))
% 7.28/7.44 [1309]~P6(f270(a241,x13092))+P6(f270(a241,f95(f43(a243,x13091),x13092)))
% 7.28/7.44 [1310]~P6(f270(a241,x13101))+P6(f270(a241,f95(f43(a243,x13101),x13102)))
% 7.28/7.44 [1312]E(f267(a394,f267(f382(x13121),f137(x13121,x13122))),x13122)+~P6(f330(f328(a383,x13121),x13122))
% 7.28/7.44 [1313]E(f267(a394,f267(f382(x13131),f138(x13131,x13132))),x13132)+~P6(f330(f328(a383,x13131),x13132))
% 7.28/7.44 [1318]E(f267(f378(f267(a394,x13181)),x13182),f267(a394,f267(f378(x13181),x13182)))+~P6(f330(f328(a384,x13182),x13181))
% 7.28/7.44 [1337]P6(f330(f328(a384,x13371),x13372))+P6(f330(f328(a384,f267(a394,x13372)),x13371))
% 7.28/7.44 [1349]E(f96(f22(a242,f328(f16(a248),x13491)),f320(f68(a376),x13492)),x13492)+~P6(f295(f329(a376,x13491),x13492))
% 7.28/7.44 [1350]P6(f268(f294(a386,x13501),x13502))+P6(f268(f277(a371,f109(x13502,x13501)),x13501))
% 7.28/7.44 [1351]P6(f269(f310(a387,x13511),x13512))+P6(f269(f338(a369,f110(x13512,x13511)),x13511))
% 7.28/7.44 [1352]P6(f295(f286(a388,x13521),x13522))+P6(f295(f329(a376,f194(x13522,x13521)),x13521))
% 7.28/7.44 [1368]~P6(f295(x13682,x13681))+E(f95(f43(a243,f286(a244,x13681)),x13682),f95(f43(a242,f286(f64(a244),x13681)),f290(f59(a370),a4)))
% 7.28/7.44 [1369]~P6(f330(x13692,x13691))+E(f96(f22(a243,f328(a248,x13691)),x13692),f96(f22(a242,f328(f16(a248),x13691)),f320(f68(a376),a3)))
% 7.28/7.44 [1432]~P6(f330(f328(a383,x14321),x14322))+P6(f330(f328(a384,f267(a394,x14321)),x14322))
% 7.28/7.44 [1439]P6(f295(a262,x14391))+~P6(f295(a262,f96(f22(a242,x14392),x14391)))
% 7.28/7.44 [1440]P6(f295(a262,x14401))+~P6(f295(a262,f96(f22(a242,x14401),x14402)))
% 7.28/7.44 [1441]P6(f270(a241,x14411))+~P6(f270(a241,f95(f43(a242,x14412),x14411)))
% 7.28/7.44 [1442]P6(f270(a241,x14421))+~P6(f270(a241,f95(f43(a242,x14421),x14422)))
% 7.28/7.44 [1444]E(f267(a394,f195(x14441,x14442)),x14442)+~P6(f330(f328(a384,f267(a394,x14441)),x14442))
% 7.28/7.44 [1445]E(f267(a394,f143(x14451,x14452)),x14452)+~P6(f330(f328(a383,f267(a394,x14451)),x14452))
% 7.28/7.44 [1447]P6(f295(a262,x14471))+~P6(f330(f328(a383,f134(x14472,x14471)),x14472))
% 7.28/7.44 [1448]P6(f295(a262,x14481))+~P6(f330(f328(a384,f211(x14481,x14482)),x14482))
% 7.28/7.44 [1449]P6(f295(a262,x14491))+~P6(f330(f328(a383,f135(x14491,x14492)),x14492))
% 7.28/7.44 [1524]P6(f330(f328(a384,x15241),x15242))+~P6(f330(f328(a384,f267(a394,x15241)),x15242))
% 7.28/7.44 [1527]P6(f330(f328(a383,x15271),x15272))+~P6(f330(f328(a384,f267(a394,x15271)),x15272))
% 7.28/7.44 [1528]P6(f330(f328(a383,x15281),x15282))+~P6(f330(f328(a383,f267(a394,x15281)),x15282))
% 7.28/7.44 [1563]P6(f268(f294(a386,x15631),x15632))+~P6(f268(f277(a371,f109(x15632,x15631)),x15632))
% 7.28/7.44 [1564]P6(f269(f310(a387,x15641),x15642))+~P6(f269(f338(a369,f110(x15642,x15641)),x15642))
% 7.28/7.44 [1565]P6(f295(f286(a388,x15651),x15652))+~P6(f295(f329(a376,f194(x15652,x15651)),x15652))
% 7.28/7.44 [1611]~P6(f330(f328(a384,x16111),x16112))+~P6(f330(f328(a384,f267(a394,x16112)),x16111))
% 7.28/7.44 [1620]P6(f330(f328(a383,x16201),f143(x16201,x16202)))+~P6(f330(f328(a383,f267(a394,x16201)),x16202))
% 7.28/7.44 [1626]E(x16261,x16262)+~E(f96(f22(a242,f328(f16(a248),x16261)),f320(f68(a376),a3)),f96(f22(a242,f328(f16(a248),x16262)),f320(f68(a376),a3)))
% 7.28/7.44 [1642]~P6(f330(f381(a12,f328(a384,x16421)),x16422))+P6(f330(f328(a384,f267(a394,x16421)),x16422))
% 7.28/7.44 [1643]~P6(f330(f328(a384,f267(a394,x16431)),x16432))+P6(f330(f381(a12,f328(a384,x16431)),x16432))
% 7.28/7.44 [1846]P6(f268(f294(a386,x18461),x18462))+~P6(f285(f273(a385,f274(x18461,f209(x18461,x18462))),f274(x18462,f209(x18461,x18462))))
% 7.28/7.44 [1847]P6(f269(f310(a387,x18471),x18472))+~P6(f285(f273(a385,f345(x18471,f210(x18471,x18472))),f345(x18472,f210(x18471,x18472))))
% 7.28/7.44 [1848]P6(f295(f286(a388,x18481),x18482))+~P6(f285(f273(a385,f330(x18481,f222(x18481,x18482))),f330(x18482,f222(x18481,x18482))))
% 7.28/7.44 [1205]P6(f295(x12052,x12051))+E(f95(f43(a243,f286(f64(a244),x12051)),x12052),a4)
% 7.28/7.44 [1206]P6(f330(x12062,x12061))+E(f96(f22(a243,f328(f16(a248),x12061)),x12062),a3)
% 7.28/7.44 [1277]P6(f274(x12772,x12771))+E(f88(f91(f36(a243,f280(a245,x12771)),x12772)),a9)
% 7.28/7.44 [1278]P6(f345(x12782,x12781))+E(f100(f92(f49(a243,f343(a249,x12781)),x12782)),a10)
% 7.28/7.44 [1279]P6(f268(x12792,x12791))+E(f101(f93(f41(a243,f294(a247,x12791)),x12792)),a5)
% 7.28/7.44 [1280]P6(f269(x12802,x12801))+E(f90(f94(f37(a243,f310(a246,x12801)),x12802)),a8)
% 7.28/7.44 [1311]E(f267(f382(f267(f378(x13111),x13112)),x13112),x13111)+~P6(f330(f328(a384,x13112),x13111))
% 7.28/7.44 [1421]~P6(f295(x14212,x14211))+E(f95(f43(a243,f286(f64(a244),x14211)),x14212),f95(f43(a242,f286(f64(a244),x14211)),f290(f59(a370),a4)))
% 7.28/7.44 [1422]~P6(f330(x14222,x14221))+E(f96(f22(a243,f328(f16(a248),x14221)),x14222),f96(f22(a242,f328(f16(a248),x14221)),f320(f68(a376),a3)))
% 7.28/7.44 [1612]~P6(f268(a237,f88(x16122)))+P6(f268(a237,f88(f91(f36(a243,x16121),x16122))))
% 7.28/7.44 [1613]~P6(f268(a237,f88(x16131)))+P6(f268(a237,f88(f91(f36(a243,x16131),x16132))))
% 7.28/7.44 [1614]~P6(f269(a261,f100(x16142)))+P6(f269(a261,f100(f92(f49(a243,x16141),x16142))))
% 7.28/7.44 [1615]~P6(f269(a261,f100(x16151)))+P6(f269(a261,f100(f92(f49(a243,x16151),x16152))))
% 7.28/7.44 [1616]~P6(f312(a240,f101(x16162)))+P6(f312(a240,f101(f93(f41(a243,x16161),x16162))))
% 7.28/7.44 [1617]~P6(f312(a240,f101(x16171)))+P6(f312(a240,f101(f93(f41(a243,x16171),x16172))))
% 7.28/7.44 [1618]~P6(f296(a256,f90(x16182)))+P6(f296(a256,f90(f94(f37(a243,x16181),x16182))))
% 7.28/7.44 [1619]~P6(f296(a256,f90(x16191)))+P6(f296(a256,f90(f94(f37(a243,x16191),x16192))))
% 7.28/7.44 [1671]~P6(f274(x16712,x16711))+E(f88(f91(f36(a243,f280(a245,x16711)),x16712)),f88(f91(f36(a242,f280(f53(a245),x16711)),f304(f54(a371),a9))))
% 7.28/7.44 [1672]~P6(f345(x16722,x16721))+E(f100(f92(f49(a243,f343(a249,x16721)),x16722)),f100(f92(f49(a242,f343(f55(a249),x16721)),f318(f56(a369),a10))))
% 7.28/7.44 [1673]~P6(f268(x16732,x16731))+E(f101(f93(f41(a243,f294(a247,x16731)),x16732)),f101(f93(f41(a242,f294(f62(a247),x16731)),f306(f70(a375),a5))))
% 7.28/7.44 [1674]~P6(f269(x16742,x16741))+E(f90(f94(f37(a243,f310(a246,x16741)),x16742)),f90(f94(f37(a242,f310(f58(a246),x16741)),f313(f71(a372),a8))))
% 7.28/7.44 [1734]P6(f268(a237,f88(x17341)))+~P6(f268(a237,f88(f91(f36(a242,x17342),x17341))))
% 7.28/7.44 [1735]P6(f268(a237,f88(x17351)))+~P6(f268(a237,f88(f91(f36(a242,x17351),x17352))))
% 7.28/7.44 [1736]P6(f269(a261,f100(x17361)))+~P6(f269(a261,f100(f92(f49(a242,x17362),x17361))))
% 7.28/7.44 [1737]P6(f269(a261,f100(x17371)))+~P6(f269(a261,f100(f92(f49(a242,x17371),x17372))))
% 7.28/7.44 [1738]P6(f312(a240,f101(x17381)))+~P6(f312(a240,f101(f93(f41(a242,x17382),x17381))))
% 7.28/7.44 [1739]P6(f312(a240,f101(x17391)))+~P6(f312(a240,f101(f93(f41(a242,x17391),x17392))))
% 7.28/7.44 [1740]P6(f296(a256,f90(x17401)))+~P6(f296(a256,f90(f94(f37(a242,x17402),x17401))))
% 7.28/7.44 [1741]P6(f296(a256,f90(x17411)))+~P6(f296(a256,f90(f94(f37(a242,x17411),x17412))))
% 7.28/7.44 [1755]~P6(f295(a262,x17552))+P6(f295(a262,f96(f22(a242,f328(f16(a248),x17551)),f320(f68(a376),x17552))))
% 7.28/7.44 [1757]~P6(f270(a241,x17572))+P6(f270(a241,f95(f43(a242,f286(f64(a244),x17571)),f290(f59(a370),x17572))))
% 7.28/7.44 [1840]~P6(f330(f328(a384,f132(x18402,x18401)),f267(x18401,f132(x18402,x18401))))+P6(f295(a262,f328(f16(f48(a384,x18401)),x18402)))
% 7.28/7.44 [1843]P6(f295(a262,x18431))+~P6(f295(a262,f96(f22(a242,f328(f16(a248),x18432)),f320(f68(a376),x18431))))
% 7.28/7.44 [1844]P6(f270(a241,x18441))+~P6(f270(a241,f95(f43(a242,f286(f64(a244),x18442)),f290(f59(a370),x18441))))
% 7.28/7.44 [1850]E(x18501,x18502)+~P6(f295(f329(a376,x18501),f96(f22(a242,f328(f16(a248),x18502)),f320(f68(a376),a3))))
% 7.28/7.44 [1314]P6(f274(x13142,x13141))+E(f88(f91(f36(a243,f280(f53(a245),x13141)),x13142)),a9)
% 7.28/7.44 [1315]P6(f345(x13152,x13151))+E(f100(f92(f49(a243,f343(f55(a249),x13151)),x13152)),a10)
% 7.28/7.44 [1316]P6(f268(x13162,x13161))+E(f101(f93(f41(a243,f294(f62(a247),x13161)),x13162)),a5)
% 7.28/7.44 [1317]P6(f269(x13172,x13171))+E(f90(f94(f37(a243,f310(f58(a246),x13171)),x13172)),a8)
% 7.28/7.44 [1721]~P6(f274(x17212,x17211))+E(f88(f91(f36(a243,f280(f53(a245),x17211)),x17212)),f88(f91(f36(a242,f280(f53(a245),x17211)),f304(f54(a371),a9))))
% 7.28/7.44 [1722]~P6(f345(x17222,x17221))+E(f100(f92(f49(a243,f343(f55(a249),x17221)),x17222)),f100(f92(f49(a242,f343(f55(a249),x17221)),f318(f56(a369),a10))))
% 7.28/7.44 [1723]~P6(f268(x17232,x17231))+E(f101(f93(f41(a243,f294(f62(a247),x17231)),x17232)),f101(f93(f41(a242,f294(f62(a247),x17231)),f306(f70(a375),a5))))
% 7.28/7.44 [1724]~P6(f269(x17242,x17241))+E(f90(f94(f37(a243,f310(f58(a246),x17241)),x17242)),f90(f94(f37(a242,f310(f58(a246),x17241)),f313(f71(a372),a8))))
% 7.28/7.44 [1863]~P6(f268(a237,x18632))+P6(f268(a237,f88(f91(f36(a242,f280(f53(a245),x18631)),f304(f54(a371),x18632)))))
% 7.28/7.44 [1865]~P6(f269(a261,x18652))+P6(f269(a261,f100(f92(f49(a242,f343(f55(a249),x18651)),f318(f56(a369),x18652)))))
% 7.28/7.44 [1867]~P6(f312(a240,x18672))+P6(f312(a240,f101(f93(f41(a242,f294(f62(a247),x18671)),f306(f70(a375),x18672)))))
% 7.28/7.44 [1869]~P6(f296(a256,x18692))+P6(f296(a256,f90(f94(f37(a242,f310(f58(a246),x18691)),f313(f71(a372),x18692)))))
% 7.28/7.44 [1885]~P6(f270(a241,x18851))+P6(f330(f328(a384,f319(a255,x18851)),f319(a255,f95(f43(a242,f286(f64(a244),x18852)),f290(f59(a370),x18851)))))
% 7.28/7.44 [1886]~P6(f295(a262,x18861))+P6(f330(f328(a384,f301(a257,x18861)),f301(a257,f96(f22(a242,f328(f16(a248),x18862)),f320(f68(a376),x18861)))))
% 7.28/7.44 [1899]P6(f268(a237,x18991))+~P6(f268(a237,f88(f91(f36(a242,f280(f53(a245),x18992)),f304(f54(a371),x18991)))))
% 7.28/7.44 [1900]P6(f269(a261,x19001))+~P6(f269(a261,f100(f92(f49(a242,f343(f55(a249),x19002)),f318(f56(a369),x19001)))))
% 7.28/7.44 [1901]P6(f312(a240,x19011))+~P6(f312(a240,f101(f93(f41(a242,f294(f62(a247),x19012)),f306(f70(a375),x19011)))))
% 7.28/7.44 [1902]P6(f296(a256,x19021))+~P6(f296(a256,f90(f94(f37(a242,f310(f58(a246),x19022)),f313(f71(a372),x19021)))))
% 7.28/7.44 [1994]P6(f268(f392(x19941),f88(f91(f36(a242,f280(f53(a245),f346(a379,x19942))),f304(f54(a371),a9)))))+~P6(f268(f392(f88(f91(f36(a242,f280(f53(a245),f346(a379,x19942))),f304(f54(a371),x19941)))),f88(f91(f36(a242,f280(f53(a245),f266(f395(f7(x19942))))),f304(f54(a371),a9)))))
% 7.28/7.44 [1932]~P6(f269(a261,x19321))+P6(f330(f328(a384,f321(a260,x19321)),f321(a260,f100(f92(f49(a242,f343(f55(a249),x19322)),f318(f56(a369),x19321))))))
% 7.28/7.44 [1933]~P6(f268(a237,x19331))+P6(f330(f328(a384,f324(a258,x19331)),f324(a258,f88(f91(f36(a242,f280(f53(a245),x19332)),f304(f54(a371),x19331))))))
% 7.28/7.44 [1934]~P6(f296(a256,x19341))+P6(f330(f328(a384,f315(a252,x19341)),f315(a252,f90(f94(f37(a242,f310(f58(a246),x19342)),f313(f71(a372),x19341))))))
% 7.28/7.44 [1935]~P6(f312(a240,x19351))+P6(f330(f328(a384,f305(a253,x19351)),f305(a253,f101(f93(f41(a242,f294(f62(a247),x19352)),f306(f70(a375),x19351))))))
% 7.28/7.44 [1074]E(x10741,x10742)+~E(f267(f382(x10743),x10741),f267(f382(x10743),x10742))
% 7.28/7.44 [1075]E(x10751,x10752)+~E(f267(f382(x10751),x10753),f267(f382(x10752),x10753))
% 7.28/7.44 [1150]~E(x11502,f267(f382(x11501),x11503))+P6(f330(f328(a384,x11501),x11502))
% 7.28/7.44 [1451]P1(f197(x14511,x14512,x14513))+~P6(f295(f286(a388,x14511),f353(x14512,x14513)))
% 7.28/7.44 [1452]P5(f202(x14521,x14522,x14523))+~P6(f295(f329(a376,x14521),f353(x14522,x14523)))
% 7.28/7.44 [1453]P8(f203(x14531,x14532,x14533))+~P6(f295(f329(a376,x14531),f374(x14532,x14533)))
% 7.28/7.44 [1487]E(f353(x14871,f197(x14872,x14871,x14873)),x14872)+~P6(f295(f286(a388,x14872),f353(x14871,x14873)))
% 7.28/7.44 [1488]E(f284(x14881,f202(x14882,x14881,x14883)),x14882)+~P6(f295(f329(a376,x14882),f353(x14881,x14883)))
% 7.28/7.44 [1489]E(f348(x14891,f203(x14892,x14891,x14893)),x14892)+~P6(f295(f329(a376,x14892),f374(x14891,x14893)))
% 7.28/7.44 [1539]~P6(f268(f294(a386,x15391),x15393))+P6(f285(f273(a385,f274(x15391,x15392)),f274(x15393,x15392)))
% 7.28/7.44 [1541]~P6(f269(f310(a387,x15411),x15413))+P6(f285(f273(a385,f345(x15411,x15412)),f345(x15413,x15412)))
% 7.28/7.44 [1544]~P6(f295(f286(a388,x15441),x15443))+P6(f285(f273(a385,f330(x15441,x15442)),f330(x15443,x15442)))
% 7.28/7.44 [1545]~P6(f269(f338(a369,x15452),x15453))+P6(f268(f277(a371,f346(x15451,x15452)),f332(x15451,x15453)))
% 7.28/7.44 [1546]~P6(f295(f329(a376,x15462),x15463))+P6(f268(f277(a371,f331(x15461,x15462)),f333(x15461,x15463)))
% 7.28/7.44 [1547]~P6(f269(f310(a387,x15472),x15473))+P6(f268(f294(a386,f332(x15471,x15472)),f332(x15471,x15473)))
% 7.28/7.44 [1548]~P6(f295(f286(a388,x15482),x15483))+P6(f268(f294(a386,f333(x15481,x15482)),f333(x15481,x15483)))
% 7.28/7.44 [1549]~P6(f295(f329(a376,x15492),x15493))+P6(f269(f338(a369,f337(x15491,x15492)),f366(x15491,x15493)))
% 7.28/7.44 [1550]~P6(f268(f294(a386,x15502),x15503))+P6(f269(f310(a387,f363(x15501,x15502)),f363(x15501,x15503)))
% 7.28/7.44 [1551]~P6(f268(f294(a386,x15512),x15513))+P6(f295(f286(a388,f353(x15511,x15512)),f353(x15511,x15513)))
% 7.28/7.44 [1552]~P6(f268(f277(a371,x15522),x15523))+P6(f295(f329(a376,f284(x15521,x15522)),f353(x15521,x15523)))
% 7.28/7.44 [1553]~P6(f269(f338(a369,x15532),x15533))+P6(f295(f329(a376,f348(x15531,x15532)),f374(x15531,x15533)))
% 7.28/7.44 [1232]~E(x12322,f267(a394,f267(f382(x12321),x12323)))+P6(f330(f328(a383,x12321),x12322))
% 7.28/7.44 [1411]~P6(f330(f328(a384,x14111),x14113))+P6(f330(f328(a384,x14111),f267(f382(x14112),x14113)))
% 7.28/7.44 [1413]~P6(f330(f328(a384,x14131),x14132))+P6(f330(f328(a384,x14131),f267(f382(x14132),x14133)))
% 7.28/7.44 [1415]~P6(f330(f328(a383,x14151),x14153))+P6(f330(f328(a383,x14151),f267(f382(x14152),x14153)))
% 7.28/7.44 [1417]~P6(f330(f328(a383,x14171),x14172))+P6(f330(f328(a383,x14171),f267(f382(x14172),x14173)))
% 7.28/7.44 [1434]P5(f213(x14341,x14342,x14343))+P6(f295(f286(a388,f353(x14341,x14343)),x14342))
% 7.28/7.44 [1435]P5(f216(x14351,x14352,x14353))+P6(f269(f310(a387,f363(x14351,x14353)),x14352))
% 7.28/7.44 [1436]P8(f214(x14361,x14362,x14363))+P6(f295(f286(a388,f374(x14361,x14363)),x14362))
% 7.28/7.44 [1437]P8(f215(x14371,x14372,x14373))+P6(f269(f310(a387,f373(x14371,x14373)),x14372))
% 7.28/7.44 [1438]P8(f217(x14381,x14382,x14383))+P6(f268(f294(a386,f332(x14381,x14383)),x14382))
% 7.28/7.44 [1630]E(f96(f22(a242,f328(f16(a248),f284(x16301,x16302))),f320(f68(a376),f353(x16301,x16303))),f353(x16301,x16303))+~P6(f268(f277(a371,x16302),x16303))
% 7.28/7.44 [1631]E(f96(f22(a242,f328(f16(a248),f348(x16311,x16312))),f320(f68(a376),f374(x16311,x16313))),f374(x16311,x16313))+~P6(f269(f338(a369,x16312),x16313))
% 7.28/7.44 [1632]~P6(f330(f328(a384,x16323),x16322))+P6(f330(f328(a384,f267(f378(x16321),x16322)),f267(f378(x16321),x16323)))
% 7.28/7.44 [1633]~P6(f330(f328(a384,x16331),x16333))+P6(f330(f328(a384,f267(f378(x16331),x16332)),f267(f378(x16333),x16332)))
% 7.28/7.44 [1634]~P6(f330(f328(a384,x16342),x16343))+P6(f330(f328(a384,f267(f382(x16341),x16342)),f267(f382(x16341),x16343)))
% 7.28/7.44 [1635]~P6(f330(f328(a384,x16351),x16353))+P6(f330(f328(a384,f267(f382(x16351),x16352)),f267(f382(x16353),x16352)))
% 7.28/7.44 [1636]~P6(f330(f328(a383,x16362),x16363))+P6(f330(f328(a383,f267(f382(x16361),x16362)),f267(f382(x16361),x16363)))
% 7.28/7.44 [1637]~P6(f330(f328(a383,x16371),x16373))+P6(f330(f328(a383,f267(f382(x16371),x16372)),f267(f382(x16373),x16372)))
% 7.28/7.44 [1746]P6(f330(f328(a384,x17461),x17462))+~P6(f330(f328(a384,f267(f382(x17463),x17461)),f267(f382(x17463),x17462)))
% 7.28/7.44 [1747]P6(f330(f328(a383,x17471),x17472))+~P6(f330(f328(a383,f267(f382(x17473),x17471)),f267(f382(x17473),x17472)))
% 7.28/7.44 [1765]P6(f269(f338(a369,f217(x17651,x17653,x17652)),x17652))+P6(f268(f294(a386,f332(x17651,x17652)),x17653))
% 7.28/7.44 [1766]P6(f295(f329(a376,f218(x17661,x17663,x17662)),x17662))+P6(f268(f294(a386,f333(x17661,x17662)),x17663))
% 7.28/7.44 [1767]P6(f268(f277(a371,f216(x17671,x17673,x17672)),x17672))+P6(f269(f310(a387,f363(x17671,x17672)),x17673))
% 7.28/7.44 [1768]P6(f269(f338(a369,f215(x17681,x17683,x17682)),x17682))+P6(f269(f310(a387,f373(x17681,x17682)),x17683))
% 7.28/7.44 [1769]P6(f295(f329(a376,f219(x17691,x17693,x17692)),x17692))+P6(f269(f310(a387,f366(x17691,x17692)),x17693))
% 7.28/7.44 [1770]P6(f268(f277(a371,f213(x17701,x17703,x17702)),x17702))+P6(f295(f286(a388,f353(x17701,x17702)),x17703))
% 7.28/7.44 [1771]P6(f269(f338(a369,f214(x17711,x17713,x17712)),x17712))+P6(f295(f286(a388,f374(x17711,x17712)),x17713))
% 7.28/7.44 [1782]~P6(f295(f329(a376,x17821),f353(x17822,x17823)))+P6(f268(f277(a371,f202(x17821,x17822,x17823)),x17823))
% 7.28/7.44 [1783]~P6(f295(f286(a388,x17831),f353(x17832,x17833)))+P6(f268(f294(a386,f197(x17831,x17832,x17833)),x17833))
% 7.28/7.44 [1784]~P6(f295(f329(a376,x17841),f374(x17842,x17843)))+P6(f269(f338(a369,f203(x17841,x17842,x17843)),x17843))
% 7.28/7.44 [1418]E(f267(f378(f267(f382(x14181),x14182)),x14183),f267(f378(x14181),f267(f378(x14183),x14182)))+~P6(f330(f328(a384,x14182),x14183))
% 7.28/7.44 [1420]E(f267(f378(f267(f382(x14201),x14202)),x14203),f267(f382(x14201),f267(f378(x14202),x14203)))+~P6(f330(f328(a384,x14203),x14202))
% 7.28/7.44 [1455]E(f267(f382(f267(f378(x14551),x14552)),x14553),f267(f378(f267(f382(x14551),x14553)),x14552))+~P6(f330(f328(a384,x14552),x14551))
% 7.28/7.44 [1537]~P6(f330(f328(a383,x15371),x15373))+P6(f330(f328(a383,f267(f378(x15371),x15372)),x15373))
% 7.28/7.44 [1560]~P6(f330(f328(a384,x15602),x15603))+E(f267(f378(f267(f382(x15601),x15602)),f267(a394,x15603)),f267(f378(x15601),f267(a394,f267(f378(x15603),x15602))))
% 7.28/7.44 [1624]E(f332(f87(x16241),x16242),f88(f91(f36(a242,f280(f53(a245),x16241)),f304(f54(a371),a9))))+~P6(f269(f338(a369,x16243),x16242))
% 7.28/7.44 [1646]P6(f330(f328(a384,x16461),x16462))+~P6(f330(f328(a384,f267(f382(x16463),x16461)),x16462))
% 7.28/7.44 [1647]P6(f330(f328(a384,x16471),x16472))+~P6(f330(f328(a384,f267(f382(x16471),x16473)),x16472))
% 7.28/7.44 [1648]P6(f330(f328(a383,x16481),x16482))+~P6(f330(f328(a383,f267(f382(x16481),x16483)),x16482))
% 7.28/7.44 [1669]~P6(f330(f328(a384,x16691),f267(f382(x16693),x16692)))+P6(f330(f328(a384,f267(f378(x16691),x16692)),x16693))
% 7.28/7.44 [1670]~P6(f330(f328(a383,x16701),f267(f378(x16703),x16702)))+P6(f330(f328(a383,f267(f382(x16701),x16702)),x16703))
% 7.28/7.44 [1719]P6(f330(f328(a384,x17191),f267(f382(x17192),x17193)))+~P6(f330(f328(a384,f267(f378(x17191),x17193)),x17192))
% 7.28/7.44 [1720]P6(f330(f328(a383,x17201),f267(f378(x17202),x17203)))+~P6(f330(f328(a383,f267(f382(x17201),x17203)),x17202))
% 7.28/7.44 [1748]~E(x17481,x17483)+P6(f330(f96(f22(a242,f328(f16(a248),x17481)),f320(f68(a376),x17482)),x17483))
% 7.28/7.44 [1758]~P6(f330(x17582,x17583))+P6(f330(f96(f22(a242,f328(f16(a248),x17581)),f320(f68(a376),x17582)),x17583))
% 7.28/7.44 [1760]~E(x17601,x17602)+P6(f295(f329(a376,x17601),f96(f22(a242,f328(f16(a248),x17602)),f320(f68(a376),x17603))))
% 7.28/7.44 [1792]E(f88(f91(f36(a242,f280(f53(a245),f346(x17921,x17922))),f304(f54(a371),f332(x17921,x17923)))),f332(x17921,x17923))+~P6(f269(f338(a369,x17922),x17923))
% 7.28/7.44 [1793]E(f88(f91(f36(a242,f280(f53(a245),f331(x17931,x17932))),f304(f54(a371),f333(x17931,x17933)))),f333(x17931,x17933))+~P6(f295(f329(a376,x17932),x17933))
% 7.28/7.44 [1794]E(f100(f92(f49(a242,f343(f55(a249),f281(x17941,x17942))),f318(f56(a369),f363(x17941,x17943)))),f363(x17941,x17943))+~P6(f268(f277(a371,x17942),x17943))
% 7.28/7.44 [1795]E(f100(f92(f49(a242,f343(f55(a249),f347(x17951,x17952))),f318(f56(a369),f373(x17951,x17953)))),f373(x17951,x17953))+~P6(f269(f338(a369,x17952),x17953))
% 7.28/7.44 [1800]~P6(f295(f286(a388,x18001),x18003))+P6(f295(f286(a388,x18001),f96(f22(a242,f328(f16(a248),x18002)),f320(f68(a376),x18003))))
% 7.28/7.44 [1803]~P6(f295(f329(a376,x18031),x18033))+P6(f295(f329(a376,x18031),f96(f22(a242,f328(f16(a248),x18032)),f320(f68(a376),x18033))))
% 7.28/7.44 [1898]P6(f330(f328(a383,f140(x18981,x18982,x18983)),f141(x18981,x18982,x18983)))+P6(f330(f328(a384,f267(f382(f267(x18983,x18981)),x18982)),f267(x18983,f267(f382(x18981),x18982))))
% 7.28/7.44 [1909]~P6(f295(f286(a388,x19092),x19093))+P6(f295(f286(a388,f96(f22(a242,f328(f16(a248),x19091)),f320(f68(a376),x19092))),f96(f22(a242,f328(f16(a248),x19091)),f320(f68(a376),x19093))))
% 7.28/7.44 [1910]P6(f268(f294(a386,f332(x19101,x19102)),x19103))+~P6(f268(f277(a371,f346(x19101,f217(x19101,x19103,x19102))),x19103))
% 7.28/7.44 [1911]P6(f268(f294(a386,f333(x19111,x19112)),x19113))+~P6(f268(f277(a371,f331(x19111,f218(x19111,x19113,x19112))),x19113))
% 7.28/7.44 [1912]P6(f269(f310(a387,f363(x19121,x19122)),x19123))+~P6(f269(f338(a369,f281(x19121,f216(x19121,x19123,x19122))),x19123))
% 7.28/7.44 [1913]P6(f269(f310(a387,f373(x19131,x19132)),x19133))+~P6(f269(f338(a369,f347(x19131,f215(x19131,x19133,x19132))),x19133))
% 7.28/7.44 [1914]P6(f269(f310(a387,f366(x19141,x19142)),x19143))+~P6(f269(f338(a369,f337(x19141,f219(x19141,x19143,x19142))),x19143))
% 7.28/7.44 [1915]P6(f295(f286(a388,f353(x19151,x19152)),x19153))+~P6(f295(f329(a376,f284(x19151,f213(x19151,x19153,x19152))),x19153))
% 7.28/7.44 [1916]P6(f295(f286(a388,f374(x19161,x19162)),x19163))+~P6(f295(f329(a376,f348(x19161,f214(x19161,x19163,x19162))),x19163))
% 7.28/7.44 [1947]~P6(f330(f328(a383,f267(x19471,f140(x19472,x19473,x19471))),f267(x19471,f141(x19472,x19473,x19471))))+P6(f330(f328(a384,f267(f382(f267(x19471,x19472)),x19473)),f267(x19471,f267(f382(x19472),x19473))))
% 7.28/7.44 [1649]~P6(f330(f328(a384,x16492),x16491))+E(f267(f378(f267(a394,f267(f378(x16491),x16492))),x16493),f267(f378(f267(a394,x16491)),f267(f382(x16492),x16493)))
% 7.28/7.44 [1750]~P6(f330(f328(a384,x17503),x17502))+P6(f330(f328(a384,x17501),f267(f378(f267(f382(x17502),x17501)),x17503)))
% 7.28/7.44 [1870]~E(x18701,x18702)+P6(f268(f277(a371,x18701),f88(f91(f36(a242,f280(f53(a245),x18702)),f304(f54(a371),x18703)))))
% 7.28/7.44 [1871]~E(x18711,x18712)+P6(f269(f338(a369,x18711),f100(f92(f49(a242,f343(f55(a249),x18712)),f318(f56(a369),x18713)))))
% 7.28/7.44 [1877]~P6(f268(f277(a371,x18771),x18773))+P6(f268(f277(a371,x18771),f88(f91(f36(a242,f280(f53(a245),x18772)),f304(f54(a371),x18773)))))
% 7.28/7.44 [1878]~P6(f268(f294(a386,x18781),x18783))+P6(f268(f294(a386,x18781),f88(f91(f36(a242,f280(f53(a245),x18782)),f304(f54(a371),x18783)))))
% 7.28/7.44 [1880]~P6(f269(f338(a369,x18801),x18803))+P6(f269(f338(a369,x18801),f100(f92(f49(a242,f343(f55(a249),x18802)),f318(f56(a369),x18803)))))
% 7.28/7.44 [1881]~P6(f269(f310(a387,x18811),x18813))+P6(f269(f310(a387,x18811),f100(f92(f49(a242,f343(f55(a249),x18812)),f318(f56(a369),x18813)))))
% 7.28/7.44 [1917]P6(f295(f286(a388,x19171),x19172))+~P6(f295(f286(a388,f96(f22(a242,f328(f16(a248),x19173)),f320(f68(a376),x19171))),x19172))
% 7.28/7.44 [1918]P6(f295(f329(a376,x19181),x19182))+~P6(f295(f286(a388,f96(f22(a242,f328(f16(a248),x19181)),f320(f68(a376),x19183))),x19182))
% 7.28/7.44 [1948]~P6(f268(f294(a386,x19482),x19483))+P6(f268(f294(a386,f88(f91(f36(a242,f280(f53(a245),x19481)),f304(f54(a371),x19482)))),f88(f91(f36(a242,f280(f53(a245),x19481)),f304(f54(a371),x19483)))))
% 7.28/7.44 [1949]~P6(f269(f310(a387,x19492),x19493))+P6(f269(f310(a387,f100(f92(f49(a242,f343(f55(a249),x19491)),f318(f56(a369),x19492)))),f100(f92(f49(a242,f343(f55(a249),x19491)),f318(f56(a369),x19493)))))
% 7.28/7.44 [1955]P6(f268(f277(a371,x19551),x19552))+~P6(f268(f294(a386,f88(f91(f36(a242,f280(f53(a245),x19551)),f304(f54(a371),x19553)))),x19552))
% 7.28/7.44 [1956]P6(f268(f294(a386,x19561),x19562))+~P6(f268(f294(a386,f88(f91(f36(a242,f280(f53(a245),x19563)),f304(f54(a371),x19561)))),x19562))
% 7.28/7.44 [1957]P6(f269(f338(a369,x19571),x19572))+~P6(f269(f310(a387,f100(f92(f49(a242,f343(f55(a249),x19571)),f318(f56(a369),x19573)))),x19572))
% 7.28/7.44 [1958]P6(f269(f310(a387,x19581),x19582))+~P6(f269(f310(a387,f100(f92(f49(a242,f343(f55(a249),x19583)),f318(f56(a369),x19581)))),x19582))
% 7.28/7.44 [937]~P4(x9371)+E(x9371,a238)+E(x9371,a12)
% 7.28/7.44 [959]~P1(x9591)+E(x9591,a9)+P5(f231(x9591))
% 7.28/7.44 [960]~P1(x9601)+E(x9601,a9)+P5(f106(x9601))
% 7.28/7.44 [961]~P7(x9611)+E(x9611,a10)+P8(f232(x9611))
% 7.28/7.44 [962]~P7(x9621)+E(x9621,a10)+P8(f107(x9621))
% 7.28/7.44 [1189]~P1(x11891)+E(x11891,a9)+~P6(f268(f294(a386,x11891),a9))
% 7.28/7.44 [1192]~P7(x11921)+E(x11921,a10)+~P6(f269(f310(a387,x11921),a10))
% 7.28/7.44 [1199]P6(x11991)+~P6(a11)+~P6(f285(f273(a385,x11991),a11))
% 7.28/7.44 [1201]~P6(x12011)+P6(a11)+~P6(f285(f273(a385,x12011),a11))
% 7.28/7.44 [1146]~P1(x11461)+E(x11461,a9)+P6(f268(f277(a371,f231(x11461)),x11461))
% 7.28/7.44 [1147]~P1(x11471)+E(x11471,a9)+P6(f268(f277(a371,f106(x11471)),x11471))
% 7.28/7.44 [1148]~P7(x11481)+E(x11481,a10)+P6(f269(f338(a369,f232(x11481)),x11481))
% 7.28/7.44 [1149]~P7(x11491)+E(x11491,a10)+P6(f269(f338(a369,f107(x11491)),x11491))
% 7.28/7.44 [964]~P7(x9642)+~E(x9642,a10)+E(f332(x9641,x9642),a9)
% 7.28/7.44 [974]~P7(x9741)+E(x9741,a10)+~E(f332(x9742,x9741),a9)
% 7.28/7.44 [1033]~P1(x10331)+~P5(x10332)+P4(f274(x10331,x10332))
% 7.28/7.44 [1034]~P7(x10341)+~P8(x10342)+P4(f345(x10341,x10342))
% 7.28/7.44 [1035]~P1(x10352)+~P2(x10351)+P4(f268(x10351,x10352))
% 7.28/7.44 [1036]~P7(x10362)+~P3(x10361)+P4(f269(x10361,x10362))
% 7.28/7.44 [1066]~P5(x10662)+~P6(f274(x10661,x10662))+~E(f88(x10661),a9)
% 7.28/7.44 [1067]~P8(x10672)+~P6(f345(x10671,x10672))+~E(f100(x10671),a10)
% 7.28/7.44 [1068]~P1(x10682)+~P6(f268(x10681,x10682))+~E(f101(x10681),a5)
% 7.28/7.44 [1069]~P7(x10692)+~P6(f269(x10691,x10692))+~E(f90(x10691),a8)
% 7.28/7.44 [1057]E(x10571,a1)+E(x10572,a1)+~E(f267(f382(x10572),x10571),f267(a394,a1))
% 7.28/7.44 [1060]~E(x10602,a1)+~E(x10601,f267(a394,a1))+E(f267(f382(x10601),x10602),f267(a394,a1))
% 7.28/7.44 [1061]~E(x10611,a1)+~E(x10612,f267(a394,a1))+E(f267(f382(x10611),x10612),f267(a394,a1))
% 7.28/7.44 [1072]E(x10721,a1)+E(x10721,f267(a394,a1))+~E(f267(f382(x10722),x10721),f267(a394,a1))
% 7.28/7.44 [1073]E(x10731,a1)+E(x10731,f267(a394,a1))+~E(f267(f382(x10731),x10732),f267(a394,a1))
% 7.28/7.44 [1076]E(x10761,x10762)+~E(f267(f378(x10762),x10761),a1)+~E(f267(f378(x10761),x10762),a1)
% 7.28/7.44 [1078]E(x10782,f267(a394,a1))+E(x10781,f267(a394,a1))+~E(f267(f382(x10781),x10782),f267(a394,a1))
% 7.28/7.44 [1126]P6(x11261)+P6(x11262)+P6(f285(f273(a385,x11262),x11261))
% 7.28/7.44 [1127]~P6(x11272)+~P6(x11271)+P6(f285(f273(a243,x11271),x11272))
% 7.28/7.44 [1130]~P6(x11302)+~P6(x11301)+P6(f285(f273(a385,x11301),x11302))
% 7.28/7.44 [1203]P6(x12031)+P6(x12032)+~P6(f285(f273(a242,x12032),x12031))
% 7.28/7.44 [1204]P6(x12041)+~P6(x12042)+~P6(f285(f273(a250,x12042),x12041))
% 7.28/7.44 [1231]E(x12311,x12312)+P6(f330(f328(a383,x12312),x12311))+P6(f330(f328(a383,x12311),x12312))
% 7.28/7.44 [1236]E(x12361,f267(a394,x12362))+E(f267(a394,f133(x12362,x12361)),x12361)+~P6(f330(f328(a383,x12362),x12361))
% 7.28/7.44 [1241]P1(f146(x12411,x12412))+P6(f312(a240,x12412))+~P6(f269(a261,f352(x12411,x12412)))
% 7.28/7.44 [1242]P1(f174(x12421,x12422))+P6(f312(a240,x12422))+~P6(f295(a262,f365(x12421,x12422)))
% 7.28/7.44 [1243]P7(f147(x12431,x12432))+P6(f296(a256,x12432))+~P6(f269(a261,f349(x12431,x12432)))
% 7.28/7.44 [1244]P7(f175(x12441,x12442))+P6(f296(a256,x12442))+~P6(f295(a262,f351(x12441,x12442)))
% 7.28/7.44 [1245]P5(f148(x12451,x12452))+P6(f268(a237,x12452))+~P6(f269(a261,f363(x12451,x12452)))
% 7.28/7.44 [1246]P5(f176(x12461,x12462))+P6(f268(a237,x12462))+~P6(f295(a262,f353(x12461,x12462)))
% 7.28/7.44 [1247]P5(f181(x12471,x12472))+P6(f268(a237,x12472))+~P6(f268(a237,f354(x12471,x12472)))
% 7.28/7.44 [1248]P5(f190(x12481,x12482))+P6(f268(a237,x12482))+~P6(f270(a241,f362(x12481,x12482)))
% 7.28/7.44 [1249]P5(f191(x12491,x12492))+P6(f268(a237,x12492))+~P6(f296(a256,f356(x12491,x12492)))
% 7.28/7.44 [1250]P5(f192(x12501,x12502))+P6(f268(a237,x12502))+~P6(f312(a240,f361(x12501,x12502)))
% 7.28/7.44 [1251]P8(f172(x12511,x12512))+P6(f269(a261,x12512))+~P6(f269(a261,f373(x12511,x12512)))
% 7.28/7.44 [1252]P8(f179(x12521,x12522))+P6(f269(a261,x12522))+~P6(f295(a262,f374(x12521,x12522)))
% 7.28/7.44 [1253]P8(f182(x12531,x12532))+P6(f269(a261,x12532))+~P6(f270(a241,f358(x12531,x12532)))
% 7.28/7.44 [1254]P8(f187(x12541,x12542))+P6(f269(a261,x12542))+~P6(f296(a256,f357(x12541,x12542)))
% 7.28/7.44 [1255]P8(f189(x12551,x12552))+P6(f269(a261,x12552))+~P6(f312(a240,f350(x12551,x12552)))
% 7.28/7.44 [1256]P8(f193(x12561,x12562))+P6(f269(a261,x12562))+~P6(f268(a237,f332(x12561,x12562)))
% 7.28/7.44 [1258]P6(f268(a237,x12581))+~P6(f268(a237,x12582))+~P6(f268(f294(a386,x12581),x12582))
% 7.28/7.44 [1260]P6(f269(a261,x12601))+~P6(f269(a261,x12602))+~P6(f269(f310(a387,x12601),x12602))
% 7.28/7.44 [1262]P6(f295(a262,x12621))+~P6(f295(a262,x12622))+~P6(f295(f286(a388,x12621),x12622))
% 7.28/7.44 [1264]P6(f312(a240,x12641))+~P6(f312(a240,x12642))+~P6(f312(f293(a389,x12641),x12642))
% 7.28/7.44 [1266]P6(f296(a256,x12661))+~P6(f296(a256,x12662))+~P6(f296(f311(a391,x12661),x12662))
% 7.28/7.44 [1268]P6(f270(a241,x12681))+~P6(f270(a241,x12682))+~P6(f270(f299(a390,x12681),x12682))
% 7.28/7.44 [1284]E(x12841,x12842)+P6(f330(f328(a383,x12841),x12842))+~P6(f330(f328(a384,x12841),x12842))
% 7.28/7.44 [1330]E(x13301,x13302)+~P6(f330(f328(a384,x13302),x13301))+~P6(f330(f328(a384,x13301),x13302))
% 7.28/7.44 [1336]E(x13361,x13362)+~P6(f295(f286(a388,x13362),x13361))+~P6(f295(f286(a388,x13361),x13362))
% 7.28/7.44 [1339]~P6(f295(a262,x13392))+~P6(f295(f329(a376,x13391),x13392))+P6(f330(f328(a384,x13391),f212(x13392)))
% 7.28/7.44 [1340]~P6(f295(a262,x13402))+~P6(f295(f329(a376,x13401),x13402))+P6(f330(f328(a383,x13401),f136(x13402)))
% 7.28/7.44 [1370]E(x13701,f267(a394,x13702))+~P6(f330(f328(a383,x13702),x13701))+P6(f330(f328(a383,x13702),f133(x13702,x13701)))
% 7.28/7.44 [1375]E(x13751,x13752)+P6(f330(f328(a383,x13751),x13752))+~P6(f330(f328(a383,x13751),f267(a394,x13752)))
% 7.28/7.44 [1426]E(x14261,f267(a394,x14262))+P6(f330(f328(a384,x14261),x14262))+~P6(f330(f328(a384,x14261),f267(a394,x14262)))
% 7.28/7.44 [1456]E(x14561,x14562)+~P6(f330(f328(a384,x14562),x14561))+~P6(f330(f328(a383,x14561),f267(a394,x14562)))
% 7.28/7.44 [1605]~P6(f269(a261,x16052))+~P6(f269(f310(a387,x16051),x16052))+P6(f330(f328(a384,f321(a260,x16051)),f321(a260,x16052)))
% 7.28/7.44 [1606]~P6(f268(a237,x16062))+~P6(f268(f294(a386,x16061),x16062))+P6(f330(f328(a384,f324(a258,x16061)),f324(a258,x16062)))
% 7.28/7.44 [1607]~P6(f270(a241,x16072))+~P6(f270(f299(a390,x16071),x16072))+P6(f330(f328(a384,f319(a255,x16071)),f319(a255,x16072)))
% 7.28/7.44 [1608]~P6(f296(a256,x16082))+~P6(f296(f311(a391,x16081),x16082))+P6(f330(f328(a384,f315(a252,x16081)),f315(a252,x16082)))
% 7.28/7.44 [1609]~P6(f312(a240,x16092))+~P6(f312(f293(a389,x16091),x16092))+P6(f330(f328(a384,f305(a253,x16091)),f305(a253,x16092)))
% 7.28/7.44 [1610]~P6(f295(a262,x16102))+~P6(f295(f286(a388,x16101),x16102))+P6(f330(f328(a384,f301(a257,x16101)),f301(a257,x16102)))
% 7.28/7.44 [1365]~P6(f295(a262,x13652))+~P6(f295(a262,x13651))+P6(f295(a262,f96(f22(a242,x13651),x13652)))
% 7.28/7.44 [1366]~P6(f270(a241,x13662))+~P6(f270(a241,x13661))+P6(f270(a241,f95(f43(a242,x13661),x13662)))
% 7.28/7.44 [1443]E(f267(a394,x14431),x14432)+~P6(f330(f328(a383,x14431),x14432))+P6(f330(f328(a383,f267(a394,x14431)),x14432))
% 7.28/7.44 [1497]P6(f268(a237,x14971))+~P6(f269(a261,f363(x14972,x14971)))+P6(f268(f277(a371,f148(x14972,x14971)),x14971))
% 7.28/7.44 [1498]P6(f268(a237,x14981))+~P6(f295(a262,f353(x14982,x14981)))+P6(f268(f277(a371,f176(x14982,x14981)),x14981))
% 7.28/7.44 [1499]P6(f268(a237,x14991))+~P6(f268(a237,f354(x14992,x14991)))+P6(f268(f277(a371,f181(x14992,x14991)),x14991))
% 7.28/7.44 [1500]P6(f268(a237,x15001))+~P6(f270(a241,f362(x15002,x15001)))+P6(f268(f277(a371,f190(x15002,x15001)),x15001))
% 7.28/7.44 [1501]P6(f268(a237,x15011))+~P6(f296(a256,f356(x15012,x15011)))+P6(f268(f277(a371,f191(x15012,x15011)),x15011))
% 7.28/7.44 [1502]P6(f268(a237,x15021))+~P6(f312(a240,f361(x15022,x15021)))+P6(f268(f277(a371,f192(x15022,x15021)),x15021))
% 7.28/7.44 [1503]P6(f269(a261,x15031))+~P6(f269(a261,f373(x15032,x15031)))+P6(f269(f338(a369,f172(x15032,x15031)),x15031))
% 7.28/7.44 [1504]P6(f269(a261,x15041))+~P6(f295(a262,f374(x15042,x15041)))+P6(f269(f338(a369,f179(x15042,x15041)),x15041))
% 7.28/7.44 [1505]P6(f269(a261,x15051))+~P6(f270(a241,f358(x15052,x15051)))+P6(f269(f338(a369,f182(x15052,x15051)),x15051))
% 7.28/7.44 [1506]P6(f269(a261,x15061))+~P6(f296(a256,f357(x15062,x15061)))+P6(f269(f338(a369,f187(x15062,x15061)),x15061))
% 7.28/7.44 [1507]P6(f269(a261,x15071))+~P6(f312(a240,f350(x15072,x15071)))+P6(f269(f338(a369,f189(x15072,x15071)),x15071))
% 7.28/7.44 [1508]P6(f269(a261,x15081))+~P6(f268(a237,f332(x15082,x15081)))+P6(f269(f338(a369,f193(x15082,x15081)),x15081))
% 7.28/7.44 [1509]P6(f295(a262,x15091))+~P6(f269(a261,f366(x15092,x15091)))+P6(f295(f329(a376,f149(x15092,x15091)),x15091))
% 7.28/7.44 [1510]P6(f295(a262,x15101))+~P6(f295(a262,f368(x15102,x15101)))+P6(f295(f329(a376,f177(x15102,x15101)),x15101))
% 7.28/7.44 [1511]P6(f295(a262,x15111))+~P6(f268(a237,f333(x15112,x15111)))+P6(f295(f329(a376,f183(x15112,x15111)),x15111))
% 7.28/7.44 [1512]P6(f295(a262,x15121))+~P6(f270(a241,f359(x15122,x15121)))+P6(f295(f329(a376,f184(x15122,x15121)),x15121))
% 7.28/7.44 [1513]P6(f295(a262,x15131))+~P6(f296(a256,f336(x15132,x15131)))+P6(f295(f329(a376,f185(x15132,x15131)),x15131))
% 7.28/7.44 [1514]P6(f295(a262,x15141))+~P6(f312(a240,f367(x15142,x15141)))+P6(f295(f329(a376,f186(x15142,x15141)),x15141))
% 7.28/7.44 [1515]P6(f312(a240,x15151))+~P6(f269(a261,f352(x15152,x15151)))+P6(f312(f308(a375,f146(x15152,x15151)),x15151))
% 7.28/7.44 [1516]P6(f312(a240,x15161))+~P6(f295(a262,f365(x15162,x15161)))+P6(f312(f308(a375,f174(x15162,x15161)),x15161))
% 7.28/7.44 [1517]P6(f296(a256,x15171))+~P6(f269(a261,f349(x15172,x15171)))+P6(f296(f314(a372,f147(x15172,x15171)),x15171))
% 7.28/7.44 [1518]P6(f296(a256,x15181))+~P6(f295(a262,f351(x15182,x15181)))+P6(f296(f314(a372,f175(x15182,x15181)),x15181))
% 7.28/7.44 [1519]P6(f270(a241,x15191))+~P6(f269(a261,f335(x15192,x15191)))+P6(f270(f303(a370,f173(x15192,x15191)),x15191))
% 7.28/7.44 [1520]P6(f270(a241,x15201))+~P6(f295(a262,f360(x15202,x15201)))+P6(f270(f303(a370,f180(x15202,x15201)),x15201))
% 7.28/7.44 [1433]~P7(x14331)+E(x14331,a10)+E(f332(f87(x14332),x14331),f88(f91(f36(a242,f280(f53(a245),x14332)),f304(f54(a371),a9))))
% 7.28/7.44 [1622]~P1(x16222)+E(f88(f91(f36(a242,f280(f53(a245),x16221)),f304(f54(a371),x16222))),x16222)+~P6(f268(f277(a371,x16221),x16222))
% 7.28/7.44 [1623]~P7(x16232)+E(f100(f92(f49(a242,f343(f55(a249),x16231)),f318(f56(a369),x16232))),x16232)+~P6(f269(f338(a369,x16231),x16232))
% 7.28/7.44 [1639]~P6(f270(a241,x16392))+P6(f270(f303(a370,x16391),x16392))+E(f319(a255,f95(f43(a242,f286(f64(a244),x16391)),f290(f59(a370),x16392))),f267(a394,f319(a255,x16392)))
% 7.28/7.44 [1641]~P6(f295(a262,x16412))+P6(f295(f329(a376,x16411),x16412))+E(f301(a257,f96(f22(a242,f328(f16(a248),x16411)),f320(f68(a376),x16412))),f267(a394,f301(a257,x16412)))
% 7.28/7.44 [1650]~P6(f268(a237,f88(x16502)))+~P6(f268(a237,f88(x16501)))+P6(f268(a237,f88(f91(f36(a242,x16501),x16502))))
% 7.28/7.44 [1651]~P6(f269(a261,f100(x16512)))+~P6(f269(a261,f100(x16511)))+P6(f269(a261,f100(f92(f49(a242,x16511),x16512))))
% 7.28/7.44 [1652]~P6(f312(a240,f101(x16522)))+~P6(f312(a240,f101(x16521)))+P6(f312(a240,f101(f93(f41(a242,x16521),x16522))))
% 7.28/7.44 [1653]~P6(f296(a256,f90(x16532)))+~P6(f296(a256,f90(x16531)))+P6(f296(a256,f90(f94(f37(a242,x16531),x16532))))
% 7.28/7.44 [1654]~P6(f270(a241,x16542))+~P6(f270(f303(a370,x16541),x16542))+E(f319(a255,f95(f43(a242,f286(f64(a244),x16541)),f290(f59(a370),x16542))),f319(a255,x16542))
% 7.28/7.44 [1655]~P6(f295(a262,x16552))+~P6(f295(f329(a376,x16551),x16552))+E(f301(a257,f96(f22(a242,f328(f16(a248),x16551)),f320(f68(a376),x16552))),f301(a257,x16552))
% 7.28/7.44 [1742]~P1(x17422)+~P5(x17421)+P1(f88(f91(f36(a242,f280(f53(a245),x17421)),f304(f54(a371),x17422))))
% 7.28/7.44 [1743]~P7(x17432)+~P8(x17431)+P7(f100(f92(f49(a242,f343(f55(a249),x17431)),f318(f56(a369),x17432))))
% 7.28/7.44 [1744]~P1(x17441)+~P2(x17442)+P2(f101(f93(f41(a242,f294(f62(a247),x17441)),f306(f70(a375),x17442))))
% 7.28/7.44 [1745]~P7(x17451)+~P3(x17452)+P3(f90(f94(f37(a242,f310(f58(a246),x17451)),f313(f71(a372),x17452))))
% 7.28/7.44 [1855]E(x18551,a3)+E(x18551,f96(f22(a242,f328(f16(a248),x18552)),f320(f68(a376),a3)))+~P6(f295(f286(a388,x18551),f96(f22(a242,f328(f16(a248),x18552)),f320(f68(a376),a3))))
% 7.28/7.44 [1773]~P6(f269(a261,x17732))+P6(f269(f338(a369,x17731),x17732))+E(f321(a260,f100(f92(f49(a242,f343(f55(a249),x17731)),f318(f56(a369),x17732)))),f267(a394,f321(a260,x17732)))
% 7.28/7.44 [1775]~P6(f268(a237,x17752))+P6(f268(f277(a371,x17751),x17752))+E(f324(a258,f88(f91(f36(a242,f280(f53(a245),x17751)),f304(f54(a371),x17752)))),f267(a394,f324(a258,x17752)))
% 7.28/7.44 [1777]~P6(f296(a256,x17772))+P6(f296(f314(a372,x17771),x17772))+E(f315(a252,f90(f94(f37(a242,f310(f58(a246),x17771)),f313(f71(a372),x17772)))),f267(a394,f315(a252,x17772)))
% 7.28/7.44 [1779]~P6(f312(a240,x17792))+P6(f312(f308(a375,x17791),x17792))+E(f305(a253,f101(f93(f41(a242,f294(f62(a247),x17791)),f306(f70(a375),x17792)))),f267(a394,f305(a253,x17792)))
% 7.28/7.44 [1796]~P6(f269(a261,x17962))+~P6(f269(f338(a369,x17961),x17962))+E(f321(a260,f100(f92(f49(a242,f343(f55(a249),x17961)),f318(f56(a369),x17962)))),f321(a260,x17962))
% 7.28/7.44 [1797]~P6(f268(a237,x17972))+~P6(f268(f277(a371,x17971),x17972))+E(f324(a258,f88(f91(f36(a242,f280(f53(a245),x17971)),f304(f54(a371),x17972)))),f324(a258,x17972))
% 7.28/7.44 [1798]~P6(f296(a256,x17982))+~P6(f296(f314(a372,x17981),x17982))+E(f315(a252,f90(f94(f37(a242,f310(f58(a246),x17981)),f313(f71(a372),x17982)))),f315(a252,x17982))
% 7.28/7.44 [1799]~P6(f312(a240,x17992))+~P6(f312(f308(a375,x17991),x17992))+E(f305(a253,f101(f93(f41(a242,f294(f62(a247),x17991)),f306(f70(a375),x17992)))),f305(a253,x17992))
% 7.28/7.44 [1887]~P6(f403(x18872))+P8(f221(x18871,x18872))+P6(f268(f392(x18871),f88(f91(f36(a242,f280(f53(a245),f266(x18872))),f304(f54(a371),a9)))))
% 7.28/7.44 [1897]~P6(f403(x18972))+P6(f269(f338(a369,f221(x18971,x18972)),a264))+P6(f268(f392(x18971),f88(f91(f36(a242,f280(f53(a245),f266(x18972))),f304(f54(a371),a9)))))
% 7.28/7.44 [1938]P6(f295(a262,x19381))+~P6(f268(a237,f333(x19382,x19381)))+~P6(f295(a262,f96(f22(a243,f320(f68(a376),x19381)),f282(f81(f24(a245,x19382)),f331(x19382,f183(x19382,x19381))))))
% 7.28/7.44 [1939]P6(f295(a262,x19391))+~P6(f269(a261,f366(x19392,x19391)))+~P6(f295(a262,f96(f22(a243,f320(f68(a376),x19391)),f340(f83(f25(a249,x19392)),f337(x19392,f149(x19392,x19391))))))
% 7.28/7.44 [1940]P6(f295(a262,x19401))+~P6(f295(a262,f368(x19402,x19401)))+~P6(f295(a262,f96(f22(a243,f320(f68(a376),x19401)),f328(f16(f48(a248,x19402)),f267(x19402,f177(x19402,x19401))))))
% 7.28/7.44 [1941]P6(f295(a262,x19411))+~P6(f312(a240,f367(x19412,x19411)))+~P6(f295(a262,f96(f22(a243,f320(f68(a376),x19411)),f307(f69(f26(a247,x19412)),f322(x19412,f186(x19412,x19411))))))
% 7.28/7.44 [1942]P6(f295(a262,x19421))+~P6(f296(a256,f336(x19422,x19421)))+~P6(f295(a262,f96(f22(a243,f320(f68(a376),x19421)),f288(f72(f34(a246,x19422)),f323(x19422,f185(x19422,x19421))))))
% 7.28/7.44 [1943]P6(f295(a262,x19431))+~P6(f270(a241,f359(x19432,x19431)))+~P6(f295(a262,f96(f22(a243,f320(f68(a376),x19431)),f320(f68(f35(a244,x19432)),f328(x19432,f184(x19432,x19431))))))
% 7.28/7.44 [1944]P6(f270(a241,x19441))+~P6(f269(a261,f335(x19442,x19441)))+~P6(f270(a241,f95(f43(a243,f290(f59(a370),x19441)),f341(f76(f28(a249,x19442)),f272(x19442,f173(x19442,x19441))))))
% 7.28/7.44 [1945]P6(f270(a241,x19451))+~P6(f295(a262,f360(x19452,x19451)))+~P6(f270(a241,f95(f43(a243,f290(f59(a370),x19451)),f329(f73(f29(a248,x19452)),f301(x19452,f180(x19452,x19451))))))
% 7.28/7.44 [1981]~P6(f403(x19812))+P6(f268(f392(x19811),f88(f91(f36(a242,f280(f53(a245),f266(x19812))),f304(f54(a371),a9)))))+~P6(f268(f392(x19811),f88(f91(f36(a242,f280(f53(a245),f346(a379,f221(x19811,x19812)))),f304(f54(a371),a9)))))
% 7.28/7.44 [1963]P6(f268(a237,x19631))+~P6(f268(a237,f354(x19632,x19631)))+~P6(f268(a237,f88(f91(f36(a243,f304(f54(a371),x19631)),f280(f53(f18(a245,x19632)),f275(x19632,f181(x19632,x19631)))))))
% 7.28/7.44 [1964]P6(f268(a237,x19641))+~P6(f269(a261,f363(x19642,x19641)))+~P6(f268(a237,f88(f91(f36(a243,f304(f54(a371),x19641)),f339(f79(f19(a249,x19642)),f281(x19642,f148(x19642,x19641)))))))
% 7.28/7.44 [1965]P6(f268(a237,x19651))+~P6(f295(a262,f353(x19652,x19651)))+~P6(f268(a237,f88(f91(f36(a243,f304(f54(a371),x19651)),f322(f80(f30(a248,x19652)),f284(x19652,f176(x19652,x19651)))))))
% 7.28/7.44 [1966]P6(f268(a237,x19661))+~P6(f312(a240,f361(x19662,x19661)))+~P6(f268(a237,f88(f91(f36(a243,f304(f54(a371),x19661)),f304(f54(f20(a247,x19662)),f280(x19662,f192(x19662,x19661)))))))
% 7.28/7.44 [1967]P6(f268(a237,x19671))+~P6(f296(a256,f356(x19672,x19671)))+~P6(f268(a237,f88(f91(f36(a243,f304(f54(a371),x19671)),f289(f60(f21(a246,x19672)),f276(x19672,f191(x19672,x19671)))))))
% 7.28/7.44 [1968]P6(f268(a237,x19681))+~P6(f270(a241,f362(x19682,x19681)))+~P6(f268(a237,f88(f91(f36(a243,f304(f54(a371),x19681)),f271(f65(f50(a244,x19682)),f282(x19682,f190(x19682,x19681)))))))
% 7.28/7.44 [1969]P6(f269(a261,x19691))+~P6(f268(a237,f332(x19692,x19691)))+~P6(f269(a261,f100(f92(f49(a243,f318(f56(a369),x19691)),f276(f82(f23(a245,x19692)),f346(x19692,f193(x19692,x19691)))))))
% 7.28/7.44 [1970]P6(f269(a261,x19701))+~P6(f269(a261,f373(x19702,x19701)))+~P6(f269(a261,f100(f92(f49(a243,f318(f56(a369),x19701)),f343(f55(f44(a249,x19702)),f347(x19702,f172(x19702,x19701)))))))
% 7.28/7.44 [1971]P6(f269(a261,x19711))+~P6(f295(a262,f374(x19712,x19711)))+~P6(f269(a261,f100(f92(f49(a243,f318(f56(a369),x19711)),f323(f84(f45(a248,x19712)),f348(x19712,f179(x19712,x19711)))))))
% 7.28/7.44 [1972]P6(f269(a261,x19721))+~P6(f312(a240,f350(x19722,x19721)))+~P6(f269(a261,f100(f92(f49(a243,f318(f56(a369),x19721)),f297(f66(f33(a247,x19722)),f339(x19722,f189(x19722,x19721)))))))
% 7.28/7.44 [1973]P6(f269(a261,x19731))+~P6(f296(a256,f357(x19732,x19731)))+~P6(f269(a261,f100(f92(f49(a243,f318(f56(a369),x19731)),f318(f56(f42(a246,x19732)),f343(x19732,f187(x19732,x19731)))))))
% 7.28/7.44 [1974]P6(f269(a261,x19741))+~P6(f270(a241,f358(x19742,x19741)))+~P6(f269(a261,f100(f92(f49(a243,f318(f56(a369),x19741)),f316(f67(f51(a244,x19742)),f340(x19742,f182(x19742,x19741)))))))
% 7.28/7.44 [1975]P6(f312(a240,x19751))+~P6(f269(a261,f352(x19752,x19751)))+~P6(f312(a240,f101(f93(f41(a243,f306(f70(a375),x19751)),f342(f61(f27(a249,x19752)),f287(x19752,f146(x19752,x19751)))))))
% 7.28/7.44 [1976]P6(f312(a240,x19761))+~P6(f295(a262,f365(x19762,x19761)))+~P6(f312(a240,f101(f93(f41(a243,f306(f70(a375),x19761)),f326(f75(f31(a248,x19762)),f324(x19762,f174(x19762,x19761)))))))
% 7.28/7.44 [1977]P6(f296(a256,x19771))+~P6(f269(a261,f349(x19772,x19771)))+~P6(f296(a256,f90(f94(f37(a243,f313(f71(a372),x19771)),f338(f57(f46(a249,x19772)),f291(x19772,f147(x19772,x19771)))))))
% 7.28/7.44 [1978]P6(f296(a256,x19781))+~P6(f295(a262,f351(x19782,x19781)))+~P6(f296(a256,f90(f94(f37(a243,f313(f71(a372),x19781)),f327(f63(f32(a248,x19782)),f321(x19782,f175(x19782,x19781)))))))
% 7.28/7.44 [1237]~E(f267(f378(x12371),x12373),x12372)+E(x12371,f267(f382(x12372),x12373))+~P6(f330(f328(a384,x12373),x12371))
% 7.28/7.44 [1238]~E(x12381,f267(f382(x12383),x12382))+E(f267(f378(x12381),x12382),x12383)+~P6(f330(f328(a384,x12382),x12381))
% 7.28/7.44 [1386]P6(f268(a237,x13861))+~P6(f268(a237,x13862))+~P6(f268(f294(a386,x13861),f354(x13863,x13862)))
% 7.28/7.44 [1387]P6(f268(a237,x13871))+~P6(f269(a261,x13872))+~P6(f268(f294(a386,x13871),f332(x13873,x13872)))
% 7.28/7.44 [1388]P6(f268(a237,x13881))+~P6(f295(a262,x13882))+~P6(f268(f294(a386,x13881),f333(x13883,x13882)))
% 7.28/7.44 [1389]P6(f268(a237,x13891))+~P6(f312(a240,x13892))+~P6(f268(f294(a386,x13891),f364(x13893,x13892)))
% 7.28/7.44 [1390]P6(f268(a237,x13901))+~P6(f296(a256,x13902))+~P6(f268(f294(a386,x13901),f355(x13903,x13902)))
% 7.28/7.44 [1391]P6(f268(a237,x13911))+~P6(f270(a241,x13912))+~P6(f268(f294(a386,x13911),f334(x13913,x13912)))
% 7.28/7.44 [1392]P6(f269(a261,x13921))+~P6(f268(a237,x13922))+~P6(f269(f310(a387,x13921),f363(x13923,x13922)))
% 7.28/7.44 [1393]P6(f269(a261,x13931))+~P6(f269(a261,x13932))+~P6(f269(f310(a387,x13931),f373(x13933,x13932)))
% 7.28/7.44 [1394]P6(f269(a261,x13941))+~P6(f295(a262,x13942))+~P6(f269(f310(a387,x13941),f366(x13943,x13942)))
% 7.28/7.44 [1395]P6(f269(a261,x13951))+~P6(f312(a240,x13952))+~P6(f269(f310(a387,x13951),f352(x13953,x13952)))
% 7.28/7.44 [1396]P6(f269(a261,x13961))+~P6(f296(a256,x13962))+~P6(f269(f310(a387,x13961),f349(x13963,x13962)))
% 7.28/7.44 [1397]P6(f269(a261,x13971))+~P6(f270(a241,x13972))+~P6(f269(f310(a387,x13971),f335(x13973,x13972)))
% 7.28/7.44 [1398]P6(f295(a262,x13981))+~P6(f268(a237,x13982))+~P6(f295(f286(a388,x13981),f353(x13983,x13982)))
% 7.28/7.44 [1399]P6(f295(a262,x13991))+~P6(f269(a261,x13992))+~P6(f295(f286(a388,x13991),f374(x13993,x13992)))
% 7.28/7.44 [1400]P6(f295(a262,x14001))+~P6(f295(a262,x14002))+~P6(f295(f286(a388,x14001),f368(x14003,x14002)))
% 7.28/7.44 [1401]P6(f295(a262,x14011))+~P6(f312(a240,x14012))+~P6(f295(f286(a388,x14011),f365(x14013,x14012)))
% 7.28/7.44 [1402]P6(f295(a262,x14021))+~P6(f296(a256,x14022))+~P6(f295(f286(a388,x14021),f351(x14023,x14022)))
% 7.28/7.44 [1403]P6(f295(a262,x14031))+~P6(f270(a241,x14032))+~P6(f295(f286(a388,x14031),f360(x14033,x14032)))
% 7.28/7.44 [1404]P6(f312(a240,x14041))+~P6(f269(a261,x14042))+~P6(f312(f293(a389,x14041),f350(x14043,x14042)))
% 7.28/7.44 [1405]P6(f312(a240,x14051))+~P6(f295(a262,x14052))+~P6(f312(f293(a389,x14051),f367(x14053,x14052)))
% 7.28/7.44 [1406]P6(f296(a256,x14061))+~P6(f269(a261,x14062))+~P6(f296(f311(a391,x14061),f357(x14063,x14062)))
% 7.28/7.44 [1407]P6(f296(a256,x14071))+~P6(f295(a262,x14072))+~P6(f296(f311(a391,x14071),f336(x14073,x14072)))
% 7.28/7.44 [1408]P6(f270(a241,x14081))+~P6(f269(a261,x14082))+~P6(f270(f299(a390,x14081),f358(x14083,x14082)))
% 7.28/7.44 [1409]P6(f270(a241,x14091))+~P6(f295(a262,x14092))+~P6(f270(f299(a390,x14091),f359(x14093,x14092)))
% 7.28/7.44 [1458]~P6(f285(f273(a385,x14581),x14583))+P6(f285(f273(a385,x14581),x14582))+~P6(f285(f273(a385,x14583),x14582))
% 7.28/7.44 [1461]~P6(f330(f328(a384,x14611),x14613))+P6(f330(f328(a384,x14611),x14612))+~P6(f330(f328(a384,x14613),x14612))
% 7.28/7.44 [1465]~P6(f268(f277(a371,x14651),x14653))+~P6(f268(f294(a386,x14653),x14652))+P6(f268(f277(a371,x14651),x14652))
% 7.28/7.44 [1468]~P6(f268(f294(a386,x14681),x14683))+P6(f268(f294(a386,x14681),x14682))+~P6(f268(f294(a386,x14683),x14682))
% 7.28/7.44 [1472]~P6(f269(f338(a369,x14721),x14723))+~P6(f269(f310(a387,x14723),x14722))+P6(f269(f338(a369,x14721),x14722))
% 7.28/7.44 [1475]~P6(f269(f310(a387,x14751),x14753))+P6(f269(f310(a387,x14751),x14752))+~P6(f269(f310(a387,x14753),x14752))
% 7.28/7.44 [1478]~P6(f295(f286(a388,x14781),x14783))+P6(f295(f286(a388,x14781),x14782))+~P6(f295(f286(a388,x14783),x14782))
% 7.28/7.44 [1482]~P6(f295(f329(a376,x14821),x14823))+P6(f295(f329(a376,x14821),x14822))+~P6(f295(f286(a388,x14823),x14822))
% 7.28/7.44 [1483]~P7(x14831)+P1(f198(x14831,x14832,x14833))+~P6(f269(f310(a387,x14831),f363(x14832,x14833)))
% 7.28/7.44 [1484]~P1(x14841)+P7(f204(x14841,x14842,x14843))+~P6(f268(f294(a386,x14841),f332(x14842,x14843)))
% 7.28/7.44 [1485]~P5(x14851)+P8(f199(x14851,x14852,x14853))+~P6(f268(f277(a371,x14851),f332(x14852,x14853)))
% 7.28/7.44 [1486]~P5(x14861)+P8(f207(x14861,x14862,x14863))+~P6(f268(f277(a371,x14861),f332(x14862,x14863)))
% 7.28/7.44 [1490]~P7(x14902)+E(f363(x14901,f198(x14902,x14901,x14903)),x14902)+~P6(f269(f310(a387,x14902),f363(x14901,x14903)))
% 7.28/7.44 [1491]~P1(x14912)+E(f332(x14911,f204(x14912,x14911,x14913)),x14912)+~P6(f268(f294(a386,x14912),f332(x14911,x14913)))
% 7.28/7.44 [1492]~P1(x14922)+E(f333(x14921,f200(x14922,x14921,x14923)),x14922)+~P6(f268(f294(a386,x14922),f333(x14921,x14923)))
% 7.28/7.44 [1493]~P5(x14932)+E(f346(x14931,f199(x14932,x14931,x14933)),x14932)+~P6(f268(f277(a371,x14932),f332(x14931,x14933)))
% 7.28/7.44 [1494]~P5(x14942)+E(f346(x14941,f207(x14942,x14941,x14943)),x14942)+~P6(f268(f277(a371,x14942),f332(x14941,x14943)))
% 7.28/7.44 [1495]~P5(x14952)+E(f331(x14951,f205(x14952,x14951,x14953)),x14952)+~P6(f268(f277(a371,x14952),f333(x14951,x14953)))
% 7.28/7.44 [1496]~P8(x14962)+E(f337(x14961,f206(x14962,x14961,x14963)),x14962)+~P6(f269(f338(a369,x14962),f366(x14961,x14963)))
% 7.28/7.44 [1554]P1(f201(x15541,x15542,x15543))+~P6(f270(a241,x15543))+~P6(f270(f299(a390,x15543),f362(x15541,x15542)))
% 7.28/7.44 [1555]P1(f142(x15551,x15552,x15553))+~P6(f295(a262,x15553))+~P6(f295(f286(a388,x15553),f353(x15551,x15552)))
% 7.28/7.44 [1556]P7(f150(x15561,x15562,x15563))+~P6(f270(a241,x15563))+~P6(f270(f299(a390,x15563),f358(x15561,x15562)))
% 7.28/7.44 [1557]P7(f154(x15571,x15572,x15573))+~P6(f295(a262,x15573))+~P6(f295(f286(a388,x15573),f374(x15571,x15572)))
% 7.28/7.44 [1558]P2(f151(x15581,x15582,x15583))+~P6(f295(a262,x15583))+~P6(f295(f286(a388,x15583),f365(x15581,x15582)))
% 7.28/7.44 [1559]P3(f152(x15591,x15592,x15593))+~P6(f295(a262,x15593))+~P6(f295(f286(a388,x15593),f351(x15591,x15592)))
% 7.28/7.44 [1578]E(f358(x15781,f150(x15781,x15782,x15783)),x15783)+~P6(f270(a241,x15783))+~P6(f270(f299(a390,x15783),f358(x15781,x15782)))
% 7.28/7.44 [1579]E(f359(x15791,f160(x15791,x15792,x15793)),x15793)+~P6(f270(a241,x15793))+~P6(f270(f299(a390,x15793),f359(x15791,x15792)))
% 7.28/7.44 [1580]E(f353(x15801,f142(x15801,x15802,x15803)),x15803)+~P6(f295(a262,x15803))+~P6(f295(f286(a388,x15803),f353(x15801,x15802)))
% 7.28/7.44 [1581]E(f360(x15811,f153(x15811,x15812,x15813)),x15813)+~P6(f295(a262,x15813))+~P6(f295(f286(a388,x15813),f360(x15811,x15812)))
% 7.28/7.44 [1582]E(f351(x15821,f152(x15821,x15822,x15823)),x15823)+~P6(f295(a262,x15823))+~P6(f295(f286(a388,x15823),f351(x15821,x15822)))
% 7.28/7.44 [1583]E(f365(x15831,f151(x15831,x15832,x15833)),x15833)+~P6(f295(a262,x15833))+~P6(f295(f286(a388,x15833),f365(x15831,x15832)))
% 7.28/7.44 [1584]E(f374(x15841,f154(x15841,x15842,x15843)),x15843)+~P6(f295(a262,x15843))+~P6(f295(f286(a388,x15843),f374(x15841,x15842)))
% 7.28/7.44 [1585]E(f368(x15851,f162(x15851,x15852,x15853)),x15853)+~P6(f295(a262,x15853))+~P6(f295(f286(a388,x15853),f368(x15851,x15852)))
% 7.28/7.44 [1586]E(f362(x15861,f201(x15861,x15862,x15863)),x15863)+~P6(f270(a241,x15863))+~P6(f270(f299(a390,x15863),f362(x15861,x15862)))
% 7.28/7.44 [1690]~P6(f270(a241,x16903))+~P6(f270(f299(a390,x16903),f362(x16901,x16902)))+P6(f268(a237,f201(x16901,x16902,x16903)))
% 7.28/7.44 [1691]~P6(f295(a262,x16913))+~P6(f295(f286(a388,x16913),f353(x16911,x16912)))+P6(f268(a237,f142(x16911,x16912,x16913)))
% 7.28/7.44 [1692]~P6(f270(a241,x16923))+~P6(f270(f299(a390,x16923),f358(x16921,x16922)))+P6(f269(a261,f150(x16921,x16922,x16923)))
% 7.28/7.44 [1693]~P6(f295(a262,x16933))+~P6(f295(f286(a388,x16933),f374(x16931,x16932)))+P6(f269(a261,f154(x16931,x16932,x16933)))
% 7.28/7.44 [1694]~P6(f270(a241,x16943))+~P6(f270(f299(a390,x16943),f359(x16941,x16942)))+P6(f295(a262,f160(x16941,x16942,x16943)))
% 7.28/7.44 [1695]~P6(f295(a262,x16953))+~P6(f295(f286(a388,x16953),f368(x16951,x16952)))+P6(f295(a262,f162(x16951,x16952,x16953)))
% 7.28/7.44 [1696]~P6(f295(a262,x16963))+~P6(f295(f286(a388,x16963),f365(x16961,x16962)))+P6(f312(a240,f151(x16961,x16962,x16963)))
% 7.28/7.44 [1697]~P6(f295(a262,x16973))+~P6(f295(f286(a388,x16973),f351(x16971,x16972)))+P6(f296(a256,f152(x16971,x16972,x16973)))
% 7.28/7.44 [1698]~P6(f295(a262,x16983))+~P6(f295(f286(a388,x16983),f360(x16981,x16982)))+P6(f270(a241,f153(x16981,x16982,x16983)))
% 7.28/7.44 [1856]P6(f330(f328(a383,f144(x18562,x18563,x18561)),f145(x18562,x18563,x18561)))+~P6(f330(f328(a384,x18562),x18563))+P6(f330(f328(a384,f267(x18561,x18562)),f267(x18561,x18563)))
% 7.28/7.44 [1621]E(f267(f378(f267(f378(x16211),x16212)),f267(f378(x16213),x16212)),f267(f378(x16211),x16213))+~P6(f330(f328(a384,x16212),x16211))+~P6(f330(f328(a384,x16212),x16213))
% 7.28/7.44 [1625]~P6(f330(f328(a383,x16251),x16253))+~P6(f330(f328(a383,x16253),x16252))+P6(f330(f328(a383,f267(a394,x16251)),x16252))
% 7.28/7.44 [1729]~P6(f330(x17291,x17292))+~P6(f330(x17291,f196(x17293,x17291,x17292)))+P6(f330(x17291,f267(f378(x17292),x17293)))
% 7.28/7.44 [1731]~P6(f330(f328(a383,x17313),x17312))+~P6(f330(f328(a383,x17313),x17311))+P6(f330(f328(a383,f267(f378(x17311),x17312)),f267(f378(x17311),x17313)))
% 7.28/7.44 [1732]~P6(f330(f328(a384,x17322),x17321))+~P6(f330(f328(a383,x17321),x17323))+P6(f330(f328(a383,f267(f378(x17321),x17322)),f267(f378(x17323),x17322)))
% 7.28/7.44 [1762]~P6(f330(x17621,x17622))+P6(f330(x17621,f267(f378(x17622),x17623)))+P6(f330(x17621,f267(a394,f196(x17623,x17621,x17622))))
% 7.28/7.44 [1785]~P7(x17851)+~P6(f269(f310(a387,x17851),f363(x17852,x17853)))+P6(f268(f294(a386,f198(x17851,x17852,x17853)),x17853))
% 7.28/7.44 [1786]~P5(x17861)+~P6(f268(f277(a371,x17861),f332(x17862,x17863)))+P6(f269(f338(a369,f199(x17861,x17862,x17863)),x17863))
% 7.28/7.44 [1787]~P5(x17871)+~P6(f268(f277(a371,x17871),f332(x17872,x17873)))+P6(f269(f338(a369,f207(x17871,x17872,x17873)),x17873))
% 7.28/7.44 [1788]~P1(x17881)+~P6(f268(f294(a386,x17881),f332(x17882,x17883)))+P6(f269(f310(a387,f204(x17881,x17882,x17883)),x17883))
% 7.28/7.44 [1789]~P1(x17891)+~P6(f268(f294(a386,x17891),f333(x17892,x17893)))+P6(f295(f286(a388,f200(x17891,x17892,x17893)),x17893))
% 7.28/7.44 [1790]~P8(x17901)+~P6(f269(f338(a369,x17901),f366(x17902,x17903)))+P6(f295(f329(a376,f206(x17901,x17902,x17903)),x17903))
% 7.28/7.44 [1791]~P5(x17911)+~P6(f268(f277(a371,x17911),f333(x17912,x17913)))+P6(f295(f329(a376,f205(x17911,x17912,x17913)),x17913))
% 7.28/7.44 [1810]~P6(f270(a241,x18103))+~P6(f270(f299(a390,x18103),f362(x18101,x18102)))+P6(f268(f294(a386,f201(x18101,x18102,x18103)),x18102))
% 7.28/7.44 [1811]~P6(f295(a262,x18113))+~P6(f295(f286(a388,x18113),f353(x18111,x18112)))+P6(f268(f294(a386,f142(x18111,x18112,x18113)),x18112))
% 7.28/7.44 [1812]~P6(f270(a241,x18123))+~P6(f270(f299(a390,x18123),f358(x18121,x18122)))+P6(f269(f310(a387,f150(x18121,x18122,x18123)),x18122))
% 7.28/7.44 [1813]~P6(f295(a262,x18133))+~P6(f295(f286(a388,x18133),f374(x18131,x18132)))+P6(f269(f310(a387,f154(x18131,x18132,x18133)),x18132))
% 7.28/7.44 [1814]~P6(f270(a241,x18143))+~P6(f270(f299(a390,x18143),f359(x18141,x18142)))+P6(f295(f286(a388,f160(x18141,x18142,x18143)),x18142))
% 7.28/7.44 [1815]~P6(f295(a262,x18153))+~P6(f295(f286(a388,x18153),f368(x18151,x18152)))+P6(f295(f286(a388,f162(x18151,x18152,x18153)),x18152))
% 7.28/7.44 [1816]~P6(f295(a262,x18163))+~P6(f295(f286(a388,x18163),f365(x18161,x18162)))+P6(f312(f293(a389,f151(x18161,x18162,x18163)),x18162))
% 7.28/7.44 [1817]~P6(f295(a262,x18173))+~P6(f295(f286(a388,x18173),f351(x18171,x18172)))+P6(f296(f311(a391,f152(x18171,x18172,x18173)),x18172))
% 7.28/7.44 [1818]~P6(f295(a262,x18183))+~P6(f295(f286(a388,x18183),f360(x18181,x18182)))+P6(f270(f299(a390,f153(x18181,x18182,x18183)),x18182))
% 7.28/7.44 [1946]~P6(f330(f328(a384,x19462),x19463))+P6(f330(f328(a384,f267(x19461,x19462)),f267(x19461,x19463)))+~P6(f330(f328(a383,f267(x19461,f144(x19462,x19463,x19461))),f267(x19461,f145(x19462,x19463,x19461))))
% 7.28/7.44 [1752]~P6(f330(f328(a384,x17522),x17523))+~P6(f330(f328(a384,x17521),f267(f378(x17523),x17522)))+P6(f330(f328(a384,f267(f382(x17521),x17522)),x17523))
% 7.28/7.44 [1761]~P6(f330(f328(a384,x17613),x17612))+P6(f330(f328(a384,x17611),f267(f378(x17612),x17613)))+~P6(f330(f328(a384,f267(f382(x17611),x17613)),x17612))
% 7.28/7.44 [1845]E(x18451,x18452)+P6(f330(x18453,x18452))+~P6(f330(f96(f22(a242,f328(f16(a248),x18451)),f320(f68(a376),x18453)),x18452))
% 7.28/7.44 [1854]E(x18541,x18542)+P6(f295(f329(a376,x18541),x18543))+~P6(f295(f329(a376,x18541),f96(f22(a242,f328(f16(a248),x18542)),f320(f68(a376),x18543))))
% 7.28/7.44 [1857]P6(f295(f286(a388,x18571),x18572))+P6(f295(f329(a376,x18573),x18571))+~P6(f295(f286(a388,x18571),f96(f22(a242,f328(f16(a248),x18573)),f320(f68(a376),x18572))))
% 7.28/7.44 [1950]~P6(f330(f328(a384,x19502),x19503))+P6(f285(f273(a385,f330(x19501,x19502)),f330(x19501,x19503)))+~P6(f285(f273(a385,f330(x19501,f167(x19502,x19503,x19501))),f330(x19501,f267(a394,f167(x19502,x19503,x19501)))))
% 7.28/7.44 [1951]~P6(f330(f328(a384,x19512),x19513))+P6(f330(f328(a384,f267(x19511,x19512)),f267(x19511,x19513)))+~P6(f330(f328(a384,f267(x19511,f169(x19512,x19513,x19511))),f267(x19511,f267(a394,f169(x19512,x19513,x19511)))))
% 7.28/7.44 [1952]~P6(f330(f328(a384,x19522),x19523))+P6(f268(f294(a386,f322(x19521,x19522)),f322(x19521,x19523)))+~P6(f268(f294(a386,f322(x19521,f170(x19522,x19523,x19521))),f322(x19521,f267(a394,f170(x19522,x19523,x19521)))))
% 7.28/7.44 [1953]~P6(f330(f328(a384,x19532),x19533))+P6(f269(f310(a387,f323(x19531,x19532)),f323(x19531,x19533)))+~P6(f269(f310(a387,f323(x19531,f168(x19532,x19533,x19531))),f323(x19531,f267(a394,f168(x19532,x19533,x19531)))))
% 7.28/7.44 [1954]~P6(f330(f328(a384,x19542),x19543))+P6(f295(f286(a388,f328(x19541,x19542)),f328(x19541,x19543)))+~P6(f295(f286(a388,f328(x19541,f171(x19542,x19543,x19541))),f328(x19541,f267(a394,f171(x19542,x19543,x19541)))))
% 7.28/7.44 [1896]~P6(f295(f286(a388,x18962),x18963))+~P6(f295(f329(a376,x18961),x18963))+P6(f295(f286(a388,f96(f22(a242,f328(f16(a248),x18961)),f320(f68(a376),x18962))),x18963))
% 7.28/7.44 [1923]P6(f268(f277(a371,x19231),x19232))+P6(f268(f294(a386,x19232),x19233))+~P6(f268(f294(a386,x19232),f88(f91(f36(a242,f280(f53(a245),x19231)),f304(f54(a371),x19233)))))
% 7.28/7.44 [1924]P6(f269(f338(a369,x19241),x19242))+P6(f269(f310(a387,x19242),x19243))+~P6(f269(f310(a387,x19242),f100(f92(f49(a242,f343(f55(a249),x19241)),f318(f56(a369),x19243)))))
% 7.28/7.44 [1936]~P6(f268(f277(a371,x19361),x19363))+~P6(f268(f294(a386,x19362),x19363))+P6(f268(f294(a386,f88(f91(f36(a242,f280(f53(a245),x19361)),f304(f54(a371),x19362)))),x19363))
% 7.28/7.44 [1937]~P6(f269(f338(a369,x19371),x19373))+~P6(f269(f310(a387,x19372),x19373))+P6(f269(f310(a387,f100(f92(f49(a242,f343(f55(a249),x19371)),f318(f56(a369),x19372)))),x19373))
% 7.28/7.44 [1367]~E(f267(f382(x13673),x13672),f267(f382(x13671),x13674))+~P6(f330(f328(a383,x13673),x13674))+P6(f330(f328(a383,x13671),x13672))
% 7.28/7.44 [1378]~E(x13781,f346(x13782,x13784))+~P6(f269(f338(a369,x13784),x13783))+P6(f268(f277(a371,x13781),f332(x13782,x13783)))
% 7.28/7.44 [1379]~E(x13791,f331(x13792,x13794))+~P6(f295(f329(a376,x13794),x13793))+P6(f268(f277(a371,x13791),f333(x13792,x13793)))
% 7.28/7.44 [1381]~E(x13811,f337(x13812,x13814))+~P6(f295(f329(a376,x13814),x13813))+P6(f269(f338(a369,x13811),f366(x13812,x13813)))
% 7.28/7.44 [1384]~E(x13841,f284(x13842,x13844))+~P6(f268(f277(a371,x13844),x13843))+P6(f295(f329(a376,x13841),f353(x13842,x13843)))
% 7.28/7.44 [1385]~E(x13851,f348(x13852,x13854))+~P6(f269(f338(a369,x13854),x13853))+P6(f295(f329(a376,x13851),f374(x13852,x13853)))
% 7.28/7.44 [1730]~P6(f330(f328(a384,x17302),x17304))+~P6(f330(f328(a384,x17301),x17303))+P6(f330(f328(a384,f267(f382(x17301),x17302)),f267(f382(x17303),x17304)))
% 7.28/7.44 [1733]~P6(f330(f328(a383,x17332),x17334))+~P6(f330(f328(a383,x17331),x17333))+P6(f330(f328(a383,f267(f382(x17331),x17332)),f267(f382(x17333),x17334)))
% 7.28/7.44 [1884]~E(x18842,x18843)+~E(x18841,x18844)+E(f96(f22(a242,f328(f16(a248),x18841)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x18842)),f320(f68(a376),a3)))),f96(f22(a242,f328(f16(a248),x18843)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x18844)),f320(f68(a376),a3)))))
% 7.28/7.44 [1928]E(x19281,x19282)+E(x19283,x19281)+~E(f96(f22(a242,f328(f16(a248),x19281)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x19284)),f320(f68(a376),a3)))),f96(f22(a242,f328(f16(a248),x19282)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x19283)),f320(f68(a376),a3)))))
% 7.28/7.44 [1929]E(x19291,x19292)+E(x19293,x19291)+~E(f96(f22(a242,f328(f16(a248),x19293)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x19292)),f320(f68(a376),a3)))),f96(f22(a242,f328(f16(a248),x19294)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x19291)),f320(f68(a376),a3)))))
% 7.28/7.44 [1930]E(x19301,x19302)+E(x19301,x19303)+~E(f96(f22(a242,f328(f16(a248),x19303)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x19302)),f320(f68(a376),a3)))),f96(f22(a242,f328(f16(a248),x19304)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x19301)),f320(f68(a376),a3)))))
% 7.28/7.44 [1931]E(x19311,x19312)+E(x19311,x19313)+~E(f96(f22(a242,f328(f16(a248),x19311)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x19314)),f320(f68(a376),a3)))),f96(f22(a242,f328(f16(a248),x19312)),f320(f68(a376),f96(f22(a242,f328(f16(a248),x19313)),f320(f68(a376),a3)))))
% 7.28/7.44 [1220]P6(f312(x12201,x12202))+P1(f111(x12201,x12202))+~P6(f312(x12201,a5))+~P6(f312(a240,x12202))
% 7.28/7.44 [1221]P6(f296(x12211,x12212))+P7(f112(x12211,x12212))+~P6(f296(x12211,a8))+~P6(f296(a256,x12212))
% 7.28/7.44 [1222]P6(f312(x12221,x12222))+P2(f129(x12221,x12222))+~P6(f312(x12221,a5))+~P6(f312(a240,x12222))
% 7.28/7.44 [1223]P6(f296(x12231,x12232))+P3(f128(x12231,x12232))+~P6(f296(x12231,a8))+~P6(f296(a256,x12232))
% 7.28/7.44 [1209]~P1(x12092)+~P1(x12091)+E(x12091,x12092)+~P6(f268(f294(a247,x12091),x12092))
% 7.28/7.44 [1210]~P7(x12102)+~P7(x12101)+E(x12101,x12102)+~P6(f269(f310(a246,x12101),x12102))
% 7.28/7.44 [1211]~P5(x12112)+~P5(x12111)+E(x12111,x12112)+~P6(f274(f280(a245,x12111),x12112))
% 7.28/7.44 [1212]~P8(x12122)+~P8(x12121)+E(x12121,x12122)+~P6(f345(f343(a249,x12121),x12122))
% 7.28/7.44 [1274]P6(f312(x12741,x12742))+~P6(f312(x12741,a5))+~P6(f312(a240,x12742))+P6(f312(a240,f129(x12741,x12742)))
% 7.28/7.44 [1275]P6(f296(x12751,x12752))+~P6(f296(x12751,a8))+~P6(f296(a256,x12752))+P6(f296(a256,f128(x12751,x12752)))
% 7.28/7.44 [1276]P6(f270(x12761,x12762))+~P6(f270(x12761,a4))+~P6(f270(a241,x12762))+P6(f270(a241,f113(x12761,x12762)))
% 7.28/7.44 [1285]P6(f312(x12851,x12852))+~P6(f312(x12851,a5))+~P6(f312(a240,x12852))+P6(f312(x12851,f129(x12851,x12852)))
% 7.28/7.44 [1286]P6(f296(x12861,x12862))+~P6(f296(x12861,a8))+~P6(f296(a256,x12862))+P6(f296(x12861,f128(x12861,x12862)))
% 7.28/7.44 [1287]P6(f270(x12871,x12872))+~P6(f270(x12871,a4))+~P6(f270(a241,x12872))+P6(f270(x12871,f113(x12871,x12872)))
% 7.28/7.44 [1348]P6(x13481)+~P6(x13482)+~P6(f285(f273(a385,x13481),x13482))+~P6(f285(f273(a385,x13482),x13481))
% 7.28/7.44 [1687]P6(f312(x16871,x16872))+~P6(f312(x16871,a5))+~P6(f312(a240,x16872))+~P6(f312(f308(a375,f111(x16871,x16872)),f129(x16871,x16872)))
% 7.28/7.44 [1688]P6(f296(x16881,x16882))+~P6(f296(x16881,a8))+~P6(f296(a256,x16882))+~P6(f296(f314(a372,f112(x16881,x16882)),f128(x16881,x16882)))
% 7.28/7.44 [1689]P6(f270(x16891,x16892))+~P6(f270(x16891,a4))+~P6(f270(a241,x16892))+~P6(f270(f303(a370,f127(x16891,x16892)),f113(x16891,x16892)))
% 7.28/7.44 [1717]E(x17171,x17172)+~P6(f295(a262,x17171))+~P6(f295(f286(a388,x17172),x17171))+~P6(f330(f328(a384,f301(a257,x17171)),f301(a257,x17172)))
% 7.28/7.44 [1718]E(x17181,x17182)+~P6(f270(a241,x17181))+~P6(f270(f299(a390,x17182),x17181))+~P6(f330(f328(a384,f319(a255,x17181)),f319(a255,x17182)))
% 7.28/7.44 [1841]~P5(x18412)+~P5(x18411)+E(x18411,x18412)+~E(f88(f91(f36(a242,f280(f53(a245),x18411)),f304(f54(a371),a9))),f88(f91(f36(a242,f280(f53(a245),x18412)),f304(f54(a371),a9))))
% 7.28/7.44 [1842]~P8(x18422)+~P8(x18421)+E(x18421,x18422)+~E(f100(f92(f49(a242,f343(f55(a249),x18421)),f318(f56(a369),a10))),f100(f92(f49(a242,f343(f55(a249),x18422)),f318(f56(a369),a10))))
% 7.28/7.44 [1925]P6(f270(x19251,x19252))+~P6(f270(x19251,a4))+~P6(f270(a241,x19252))+~P6(f270(x19251,f95(f43(a242,f286(f64(a244),f127(x19251,x19252))),f290(f59(a370),f113(x19251,x19252)))))
% 7.28/7.44 [1906]~P5(x19062)+~P5(x19061)+E(x19061,x19062)+~P6(f268(f277(a371,x19061),f88(f91(f36(a242,f280(f53(a245),x19062)),f304(f54(a371),a9)))))
% 7.28/7.44 [1908]~P8(x19082)+~P8(x19081)+E(x19081,x19082)+~P6(f269(f338(a369,x19081),f100(f92(f49(a242,f343(f55(a249),x19082)),f318(f56(a369),a10)))))
% 7.28/7.44 [1926]~P1(x19261)+E(x19261,a9)+E(x19261,f88(f91(f36(a242,f280(f53(a245),x19262)),f304(f54(a371),a9))))+~P6(f268(f294(a386,x19261),f88(f91(f36(a242,f280(f53(a245),x19262)),f304(f54(a371),a9)))))
% 7.28/7.44 [1927]~P7(x19271)+E(x19271,a10)+E(x19271,f100(f92(f49(a242,f343(f55(a249),x19272)),f318(f56(a369),a10))))+~P6(f269(f310(a387,x19271),f100(f92(f49(a242,f343(f55(a249),x19272)),f318(f56(a369),a10)))))
% 7.28/7.44 [1959]P6(f312(x19591,x19592))+~P6(f312(x19591,a5))+~P6(f312(a240,x19592))+~P6(f312(x19591,f101(f93(f41(a242,f294(f62(a247),f111(x19591,x19592))),f306(f70(a375),f129(x19591,x19592))))))
% 7.28/7.44 [1960]P6(f296(x19601,x19602))+~P6(f296(x19601,a8))+~P6(f296(a256,x19602))+~P6(f296(x19601,f90(f94(f37(a242,f310(f58(a246),f112(x19601,x19602))),f313(f71(a372),f128(x19601,x19602))))))
% 7.28/7.44 [1290]P6(x12901)+P6(x12902)+~P6(f285(f273(a385,x12903),x12901))+P6(f285(f273(a385,x12903),x12902))
% 7.28/7.44 [1292]P6(x12921)+P6(x12922)+~P6(f285(f273(a385,x12921),x12923))+P6(f285(f273(a385,x12922),x12923))
% 7.28/7.44 [1298]~P6(x12982)+~P6(x12983)+~P6(f285(f273(a385,x12981),x12983))+P6(f285(f273(a385,x12981),x12982))
% 7.28/7.44 [1300]~P6(x13001)+~P6(x13003)+~P6(f285(f273(a385,x13003),x13002))+P6(f285(f273(a385,x13001),x13002))
% 7.28/7.44 [1446]E(x14461,x14462)+~E(f267(f378(x14461),x14463),f267(f378(x14462),x14463))+~P6(f330(f328(a384,x14463),x14461))+~P6(f330(f328(a384,x14463),x14462))
% 7.28/7.44 [1566]~P1(x15663)+P1(f188(x15661,x15662,x15663))+~P6(f268(a237,x15663))+~P6(f268(f294(a386,x15663),f354(x15661,x15662)))
% 7.28/7.44 [1567]~P3(x15673)+P1(f208(x15671,x15672,x15673))+~P6(f296(a256,x15673))+~P6(f296(f311(a391,x15673),f356(x15671,x15672)))
% 7.28/7.44 [1568]~P2(x15683)+P1(f220(x15681,x15682,x15683))+~P6(f312(a240,x15683))+~P6(f312(f293(a389,x15683),f361(x15681,x15682)))
% 7.28/7.44 [1569]~P7(x15693)+P1(f227(x15691,x15692,x15693))+~P6(f269(a261,x15693))+~P6(f269(f310(a387,x15693),f363(x15691,x15692)))
% 7.28/7.44 [1570]~P3(x15703)+P7(f155(x15701,x15702,x15703))+~P6(f296(a256,x15703))+~P6(f296(f311(a391,x15703),f357(x15701,x15702)))
% 7.28/7.44 [1571]~P2(x15713)+P7(f156(x15711,x15712,x15713))+~P6(f312(a240,x15713))+~P6(f312(f293(a389,x15713),f350(x15711,x15712)))
% 7.28/7.44 [1572]~P7(x15723)+P7(f157(x15721,x15722,x15723))+~P6(f269(a261,x15723))+~P6(f269(f310(a387,x15723),f373(x15721,x15722)))
% 7.28/7.44 [1573]~P1(x15733)+P7(f159(x15731,x15732,x15733))+~P6(f268(a237,x15733))+~P6(f268(f294(a386,x15733),f332(x15731,x15732)))
% 7.28/7.44 [1574]~P1(x15743)+P2(f178(x15741,x15742,x15743))+~P6(f268(a237,x15743))+~P6(f268(f294(a386,x15743),f364(x15741,x15742)))
% 7.28/7.44 [1575]~P7(x15753)+P2(f130(x15751,x15752,x15753))+~P6(f269(a261,x15753))+~P6(f269(f310(a387,x15753),f352(x15751,x15752)))
% 7.28/7.44 [1576]~P1(x15763)+P3(f166(x15761,x15762,x15763))+~P6(f268(a237,x15763))+~P6(f268(f294(a386,x15763),f355(x15761,x15762)))
% 7.28/7.44 [1577]~P7(x15773)+P3(f122(x15771,x15772,x15773))+~P6(f269(a261,x15773))+~P6(f269(f310(a387,x15773),f349(x15771,x15772)))
% 7.28/7.44 [1587]~P1(x15873)+E(f354(x15871,f188(x15871,x15872,x15873)),x15873)+~P6(f268(a237,x15873))+~P6(f268(f294(a386,x15873),f354(x15871,x15872)))
% 7.28/7.44 [1588]~P7(x15883)+E(f363(x15881,f227(x15881,x15882,x15883)),x15883)+~P6(f269(a261,x15883))+~P6(f269(f310(a387,x15883),f363(x15881,x15882)))
% 7.28/7.44 [1589]~P2(x15893)+E(f361(x15891,f220(x15891,x15892,x15893)),x15893)+~P6(f312(a240,x15893))+~P6(f312(f293(a389,x15893),f361(x15891,x15892)))
% 7.28/7.44 [1590]~P3(x15903)+E(f356(x15901,f208(x15901,x15902,x15903)),x15903)+~P6(f296(a256,x15903))+~P6(f296(f311(a391,x15903),f356(x15901,x15902)))
% 7.28/7.44 [1591]~P1(x15913)+E(f332(x15911,f159(x15911,x15912,x15913)),x15913)+~P6(f268(a237,x15913))+~P6(f268(f294(a386,x15913),f332(x15911,x15912)))
% 7.28/7.44 [1592]~P7(x15923)+E(f373(x15921,f157(x15921,x15922,x15923)),x15923)+~P6(f269(a261,x15923))+~P6(f269(f310(a387,x15923),f373(x15921,x15922)))
% 7.28/7.44 [1593]~P2(x15933)+E(f350(x15931,f156(x15931,x15932,x15933)),x15933)+~P6(f312(a240,x15933))+~P6(f312(f293(a389,x15933),f350(x15931,x15932)))
% 7.28/7.44 [1594]~P3(x15943)+E(f357(x15941,f155(x15941,x15942,x15943)),x15943)+~P6(f296(a256,x15943))+~P6(f296(f311(a391,x15943),f357(x15941,x15942)))
% 7.28/7.44 [1595]~P1(x15953)+E(f333(x15951,f161(x15951,x15952,x15953)),x15953)+~P6(f268(a237,x15953))+~P6(f268(f294(a386,x15953),f333(x15951,x15952)))
% 7.28/7.44 [1596]~P7(x15963)+E(f366(x15961,f163(x15961,x15962,x15963)),x15963)+~P6(f269(a261,x15963))+~P6(f269(f310(a387,x15963),f366(x15961,x15962)))
% 7.28/7.44 [1597]~P2(x15973)+E(f367(x15971,f164(x15971,x15972,x15973)),x15973)+~P6(f312(a240,x15973))+~P6(f312(f293(a389,x15973),f367(x15971,x15972)))
% 7.28/7.44 [1598]~P3(x15983)+E(f336(x15981,f165(x15981,x15982,x15983)),x15983)+~P6(f296(a256,x15983))+~P6(f296(f311(a391,x15983),f336(x15981,x15982)))
% 7.28/7.44 [1599]~P1(x15993)+E(f364(x15991,f178(x15991,x15992,x15993)),x15993)+~P6(f268(a237,x15993))+~P6(f268(f294(a386,x15993),f364(x15991,x15992)))
% 7.28/7.44 [1600]~P7(x16003)+E(f352(x16001,f130(x16001,x16002,x16003)),x16003)+~P6(f269(a261,x16003))+~P6(f269(f310(a387,x16003),f352(x16001,x16002)))
% 7.28/7.44 [1601]~P1(x16013)+E(f355(x16011,f166(x16011,x16012,x16013)),x16013)+~P6(f268(a237,x16013))+~P6(f268(f294(a386,x16013),f355(x16011,x16012)))
% 7.28/7.44 [1602]~P7(x16023)+E(f349(x16021,f122(x16021,x16022,x16023)),x16023)+~P6(f269(a261,x16023))+~P6(f269(f310(a387,x16023),f349(x16021,x16022)))
% 7.28/7.44 [1603]~P1(x16033)+E(f334(x16031,f158(x16031,x16032,x16033)),x16033)+~P6(f268(a237,x16033))+~P6(f268(f294(a386,x16033),f334(x16031,x16032)))
% 7.28/7.44 [1604]~P7(x16043)+E(f335(x16041,f235(x16041,x16042,x16043)),x16043)+~P6(f269(a261,x16043))+~P6(f269(f310(a387,x16043),f335(x16041,x16042)))
% 7.28/7.44 [1699]~P1(x16993)+~P6(f268(a237,x16993))+~P6(f268(f294(a386,x16993),f354(x16991,x16992)))+P6(f268(a237,f188(x16991,x16992,x16993)))
% 7.28/7.44 [1700]~P3(x17003)+~P6(f296(a256,x17003))+~P6(f296(f311(a391,x17003),f356(x17001,x17002)))+P6(f268(a237,f208(x17001,x17002,x17003)))
% 7.28/7.44 [1701]~P2(x17013)+~P6(f312(a240,x17013))+~P6(f312(f293(a389,x17013),f361(x17011,x17012)))+P6(f268(a237,f220(x17011,x17012,x17013)))
% 7.28/7.44 [1702]~P7(x17023)+~P6(f269(a261,x17023))+~P6(f269(f310(a387,x17023),f363(x17021,x17022)))+P6(f268(a237,f227(x17021,x17022,x17023)))
% 7.28/7.44 [1703]~P3(x17033)+~P6(f296(a256,x17033))+~P6(f296(f311(a391,x17033),f357(x17031,x17032)))+P6(f269(a261,f155(x17031,x17032,x17033)))
% 7.28/7.44 [1704]~P2(x17043)+~P6(f312(a240,x17043))+~P6(f312(f293(a389,x17043),f350(x17041,x17042)))+P6(f269(a261,f156(x17041,x17042,x17043)))
% 7.28/7.44 [1705]~P7(x17053)+~P6(f269(a261,x17053))+~P6(f269(f310(a387,x17053),f373(x17051,x17052)))+P6(f269(a261,f157(x17051,x17052,x17053)))
% 7.28/7.44 [1706]~P1(x17063)+~P6(f268(a237,x17063))+~P6(f268(f294(a386,x17063),f332(x17061,x17062)))+P6(f269(a261,f159(x17061,x17062,x17063)))
% 7.28/7.44 [1707]~P1(x17073)+~P6(f268(a237,x17073))+~P6(f268(f294(a386,x17073),f333(x17071,x17072)))+P6(f295(a262,f161(x17071,x17072,x17073)))
% 7.28/7.44 [1708]~P3(x17083)+~P6(f296(a256,x17083))+~P6(f296(f311(a391,x17083),f336(x17081,x17082)))+P6(f295(a262,f165(x17081,x17082,x17083)))
% 7.28/7.44 [1709]~P2(x17093)+~P6(f312(a240,x17093))+~P6(f312(f293(a389,x17093),f367(x17091,x17092)))+P6(f295(a262,f164(x17091,x17092,x17093)))
% 7.28/7.44 [1710]~P7(x17103)+~P6(f269(a261,x17103))+~P6(f269(f310(a387,x17103),f366(x17101,x17102)))+P6(f295(a262,f163(x17101,x17102,x17103)))
% 7.28/7.44 [1711]~P1(x17113)+~P6(f268(a237,x17113))+~P6(f268(f294(a386,x17113),f364(x17111,x17112)))+P6(f312(a240,f178(x17111,x17112,x17113)))
% 7.28/7.44 [1712]~P7(x17123)+~P6(f269(a261,x17123))+~P6(f269(f310(a387,x17123),f352(x17121,x17122)))+P6(f312(a240,f130(x17121,x17122,x17123)))
% 7.28/7.44 [1713]~P1(x17133)+~P6(f268(a237,x17133))+~P6(f268(f294(a386,x17133),f355(x17131,x17132)))+P6(f296(a256,f166(x17131,x17132,x17133)))
% 7.28/7.44 [1714]~P7(x17143)+~P6(f269(a261,x17143))+~P6(f269(f310(a387,x17143),f349(x17141,x17142)))+P6(f296(a256,f122(x17141,x17142,x17143)))
% 7.28/7.44 [1715]~P1(x17153)+~P6(f268(a237,x17153))+~P6(f268(f294(a386,x17153),f334(x17151,x17152)))+P6(f270(a241,f158(x17151,x17152,x17153)))
% 7.28/7.44 [1716]~P7(x17163)+~P6(f269(a261,x17163))+~P6(f269(f310(a387,x17163),f335(x17161,x17162)))+P6(f270(a241,f235(x17161,x17162,x17163)))
% 7.28/7.44 [1751]P6(f330(x17511,x17512))+~P6(f330(x17511,x17513))+~P6(f330(x17511,f139(x17511,x17512,x17513)))+~P6(f330(f328(a384,x17512),x17513))
% 7.28/7.44 [1749]E(x17491,x17492)+~E(f96(f22(a242,f328(f16(a248),x17493)),f320(f68(a376),x17491)),f96(f22(a242,f328(f16(a248),x17493)),f320(f68(a376),x17492)))+P6(f295(f329(a376,x17493),x17491))+P6(f295(f329(a376,x17493),x17492))
% 7.28/7.44 [1780]~P6(f330(x17801,x17803))+P6(f330(x17801,x17802))+~P6(f330(f328(a384,x17802),x17803))+P6(f330(x17801,f267(a394,f139(x17801,x17802,x17803))))
% 7.28/7.44 [1781]~P6(f330(x17811,x17813))+P6(f330(x17811,x17812))+~P6(f330(f328(a384,x17812),x17813))+P6(f330(f328(a383,f139(x17811,x17812,x17813)),x17813))
% 7.28/7.44 [1819]~P1(x18193)+~P6(f268(a237,x18193))+~P6(f268(f294(a386,x18193),f354(x18191,x18192)))+P6(f268(f294(a386,f188(x18191,x18192,x18193)),x18192))
% 7.28/7.44 [1820]~P3(x18203)+~P6(f296(a256,x18203))+~P6(f296(f311(a391,x18203),f356(x18201,x18202)))+P6(f268(f294(a386,f208(x18201,x18202,x18203)),x18202))
% 7.28/7.44 [1821]~P2(x18213)+~P6(f312(a240,x18213))+~P6(f312(f293(a389,x18213),f361(x18211,x18212)))+P6(f268(f294(a386,f220(x18211,x18212,x18213)),x18212))
% 7.28/7.44 [1822]~P7(x18223)+~P6(f269(a261,x18223))+~P6(f269(f310(a387,x18223),f363(x18221,x18222)))+P6(f268(f294(a386,f227(x18221,x18222,x18223)),x18222))
% 7.28/7.44 [1823]~P3(x18233)+~P6(f296(a256,x18233))+~P6(f296(f311(a391,x18233),f357(x18231,x18232)))+P6(f269(f310(a387,f155(x18231,x18232,x18233)),x18232))
% 7.28/7.44 [1824]~P2(x18243)+~P6(f312(a240,x18243))+~P6(f312(f293(a389,x18243),f350(x18241,x18242)))+P6(f269(f310(a387,f156(x18241,x18242,x18243)),x18242))
% 7.28/7.44 [1825]~P7(x18253)+~P6(f269(a261,x18253))+~P6(f269(f310(a387,x18253),f373(x18251,x18252)))+P6(f269(f310(a387,f157(x18251,x18252,x18253)),x18252))
% 7.28/7.44 [1826]~P1(x18263)+~P6(f268(a237,x18263))+~P6(f268(f294(a386,x18263),f332(x18261,x18262)))+P6(f269(f310(a387,f159(x18261,x18262,x18263)),x18262))
% 7.28/7.44 [1827]~P1(x18273)+~P6(f268(a237,x18273))+~P6(f268(f294(a386,x18273),f333(x18271,x18272)))+P6(f295(f286(a388,f161(x18271,x18272,x18273)),x18272))
% 7.28/7.44 [1828]~P3(x18283)+~P6(f296(a256,x18283))+~P6(f296(f311(a391,x18283),f336(x18281,x18282)))+P6(f295(f286(a388,f165(x18281,x18282,x18283)),x18282))
% 7.28/7.44 [1829]~P2(x18293)+~P6(f312(a240,x18293))+~P6(f312(f293(a389,x18293),f367(x18291,x18292)))+P6(f295(f286(a388,f164(x18291,x18292,x18293)),x18292))
% 7.28/7.44 [1830]~P7(x18303)+~P6(f269(a261,x18303))+~P6(f269(f310(a387,x18303),f366(x18301,x18302)))+P6(f295(f286(a388,f163(x18301,x18302,x18303)),x18302))
% 7.28/7.44 [1831]~P1(x18313)+~P6(f268(a237,x18313))+~P6(f268(f294(a386,x18313),f364(x18311,x18312)))+P6(f312(f293(a389,f178(x18311,x18312,x18313)),x18312))
% 7.28/7.44 [1832]~P7(x18323)+~P6(f269(a261,x18323))+~P6(f269(f310(a387,x18323),f352(x18321,x18322)))+P6(f312(f293(a389,f130(x18321,x18322,x18323)),x18322))
% 7.28/7.44 [1833]~P1(x18333)+~P6(f268(a237,x18333))+~P6(f268(f294(a386,x18333),f355(x18331,x18332)))+P6(f296(f311(a391,f166(x18331,x18332,x18333)),x18332))
% 7.28/7.44 [1834]~P7(x18343)+~P6(f269(a261,x18343))+~P6(f269(f310(a387,x18343),f349(x18341,x18342)))+P6(f296(f311(a391,f122(x18341,x18342,x18343)),x18342))
% 7.28/7.44 [1835]~P1(x18353)+~P6(f268(a237,x18353))+~P6(f268(f294(a386,x18353),f334(x18351,x18352)))+P6(f270(f299(a390,f158(x18351,x18352,x18353)),x18352))
% 7.28/7.44 [1836]~P7(x18363)+~P6(f269(a261,x18363))+~P6(f269(f310(a387,x18363),f335(x18361,x18362)))+P6(f270(f299(a390,f235(x18361,x18362,x18363)),x18362))
% 7.28/7.44 [1837]~P6(f330(f328(a384,x18373),x18371))+P6(f330(f328(a384,x18371),x18372))+~P6(f330(f328(a384,x18373),x18372))+~P6(f330(f328(a384,f267(f378(x18371),x18373)),f267(f378(x18372),x18373)))
% 7.28/7.44 [1838]~P6(f330(f328(a384,x18383),x18381))+P6(f330(f328(a383,x18381),x18382))+~P6(f330(f328(a384,x18383),x18382))+~P6(f330(f328(a383,f267(f378(x18381),x18383)),f267(f378(x18382),x18383)))
% 7.28/7.44 [1858]~E(x18581,x18583)+~P5(x18583)+~P5(x18581)+P6(f274(f88(f91(f36(a242,f280(f53(a245),x18581)),f304(f54(a371),x18582))),x18583))
% 7.28/7.44 [1859]~E(x18591,x18593)+~P8(x18593)+~P8(x18591)+P6(f345(f100(f92(f49(a242,f343(f55(a249),x18591)),f318(f56(a369),x18592))),x18593))
% 7.28/7.44 [1872]~P5(x18721)+~P5(x18723)+~P6(f274(x18722,x18723))+P6(f274(f88(f91(f36(a242,f280(f53(a245),x18721)),f304(f54(a371),x18722))),x18723))
% 7.28/7.44 [1873]~P8(x18731)+~P8(x18733)+~P6(f345(x18732,x18733))+P6(f345(f100(f92(f49(a242,f343(f55(a249),x18731)),f318(f56(a369),x18732))),x18733))
% 7.28/7.44 [1423]~P1(x14231)+~E(x14231,f333(x14232,x14234))+~P6(f295(f286(a388,x14234),x14233))+P6(f268(f294(a386,x14231),f333(x14232,x14233)))
% 7.28/7.44 [1424]~P1(x14244)+~E(x14241,f353(x14242,x14244))+~P6(f268(f294(a386,x14244),x14243))+P6(f295(f286(a388,x14241),f353(x14242,x14243)))
% 7.28/7.44 [1358]~P1(x13582)+~P1(x13581)+E(x13581,x13582)+~P6(f268(f294(a386,x13582),x13581))+~P6(f268(f294(a386,x13581),x13582))
% 7.28/7.44 [1364]~P7(x13642)+~P7(x13641)+E(x13641,x13642)+~P6(f269(f310(a387,x13642),x13641))+~P6(f269(f310(a387,x13641),x13642))
% 7.28/7.44 [1529]P6(f268(x15291,x15292))+P1(f114(x15291,x15293,x15292))+~P6(f268(x15291,a9))+~P6(f268(a237,x15292))+~P6(f268(f294(a386,x15292),x15293))
% 7.28/7.44 [1530]P6(f268(x15301,x15302))+P5(f115(x15301,x15303,x15302))+~P6(f268(x15301,a9))+~P6(f268(a237,x15302))+~P6(f268(f294(a386,x15302),x15303))
% 7.28/7.44 [1531]P6(f269(x15311,x15312))+P7(f116(x15311,x15313,x15312))+~P6(f269(x15311,a10))+~P6(f269(a261,x15312))+~P6(f269(f310(a387,x15312),x15313))
% 7.28/7.44 [1532]P6(f269(x15321,x15322))+P8(f117(x15321,x15323,x15322))+~P6(f269(x15321,a10))+~P6(f269(a261,x15322))+~P6(f269(f310(a387,x15322),x15323))
% 7.28/7.44 [1533]P6(f312(x15331,x15332))+P1(f120(x15331,x15333,x15332))+~P6(f312(x15331,a5))+~P6(f312(a240,x15332))+~P6(f312(f293(a389,x15332),x15333))
% 7.28/7.44 [1534]P6(f312(x15341,x15342))+P2(f126(x15341,x15343,x15342))+~P6(f312(x15341,a5))+~P6(f312(a240,x15342))+~P6(f312(f293(a389,x15342),x15343))
% 7.28/7.44 [1535]P6(f296(x15351,x15352))+P7(f121(x15351,x15353,x15352))+~P6(f296(x15351,a8))+~P6(f296(a256,x15352))+~P6(f296(f311(a391,x15352),x15353))
% 7.28/7.44 [1536]P6(f296(x15361,x15362))+P3(f125(x15361,x15363,x15362))+~P6(f296(x15361,a8))+~P6(f296(a256,x15362))+~P6(f296(f311(a391,x15362),x15363))
% 7.28/7.44 [1675]P6(f268(x16751,x16752))+~P6(f268(x16751,a9))+~P6(f268(a237,x16752))+~P6(f268(f294(a386,x16752),x16753))+P6(f268(a237,f114(x16751,x16753,x16752)))
% 7.28/7.44 [1676]P6(f269(x16761,x16762))+~P6(f269(x16761,a10))+~P6(f269(a261,x16762))+~P6(f269(f310(a387,x16762),x16763))+P6(f269(a261,f116(x16761,x16763,x16762)))
% 7.28/7.44 [1677]P6(f295(x16771,x16772))+~P6(f295(x16771,a3))+~P6(f295(a262,x16772))+~P6(f295(f286(a388,x16772),x16773))+P6(f295(a262,f118(x16771,x16773,x16772)))
% 7.28/7.44 [1678]P6(f312(x16781,x16782))+~P6(f312(x16781,a5))+~P6(f312(a240,x16782))+~P6(f312(f293(a389,x16782),x16783))+P6(f312(a240,f126(x16781,x16783,x16782)))
% 7.28/7.44 [1679]P6(f296(x16791,x16792))+~P6(f296(x16791,a8))+~P6(f296(a256,x16792))+~P6(f296(f311(a391,x16792),x16793))+P6(f296(a256,f125(x16791,x16793,x16792)))
% 7.28/7.44 [1680]P6(f270(x16801,x16802))+~P6(f270(x16801,a4))+~P6(f270(a241,x16802))+~P6(f270(f299(a390,x16802),x16803))+P6(f270(a241,f124(x16801,x16803,x16802)))
% 7.28/7.44 [1681]P6(f268(x16811,x16812))+~P6(f268(x16811,a9))+~P6(f268(a237,x16812))+P6(f268(x16811,f114(x16811,x16813,x16812)))+~P6(f268(f294(a386,x16812),x16813))
% 7.28/7.44 [1682]P6(f269(x16821,x16822))+~P6(f269(x16821,a10))+~P6(f269(a261,x16822))+P6(f269(x16821,f116(x16821,x16823,x16822)))+~P6(f269(f310(a387,x16822),x16823))
% 7.28/7.44 [1683]P6(f295(x16831,x16832))+~P6(f295(x16831,a3))+~P6(f295(a262,x16832))+P6(f295(x16831,f118(x16831,x16833,x16832)))+~P6(f295(f286(a388,x16832),x16833))
% 7.28/7.44 [1684]P6(f312(x16841,x16842))+~P6(f312(x16841,a5))+~P6(f312(a240,x16842))+P6(f312(x16841,f126(x16841,x16843,x16842)))+~P6(f312(f293(a389,x16842),x16843))
% 7.28/7.44 [1685]P6(f296(x16851,x16852))+~P6(f296(x16851,a8))+~P6(f296(a256,x16852))+P6(f296(x16851,f125(x16851,x16853,x16852)))+~P6(f296(f311(a391,x16852),x16853))
% 7.28/7.44 [1686]P6(f270(x16861,x16862))+~P6(f270(x16861,a4))+~P6(f270(a241,x16862))+P6(f270(x16861,f124(x16861,x16863,x16862)))+~P6(f270(f299(a390,x16862),x16863))
% 7.28/7.44 [1890]P6(f268(x18901,x18902))+~P6(f268(x18901,a9))+~P6(f268(a237,x18902))+~P6(f268(f277(a371,f115(x18901,x18903,x18902)),f114(x18901,x18903,x18902)))+~P6(f268(f294(a386,x18902),x18903))
% 7.28/7.44 [1891]P6(f269(x18911,x18912))+~P6(f269(x18911,a10))+~P6(f269(a261,x18912))+~P6(f269(f338(a369,f117(x18911,x18913,x18912)),f116(x18911,x18913,x18912)))+~P6(f269(f310(a387,x18912),x18913))
% 7.28/7.44 [1892]P6(f295(x18921,x18922))+~P6(f295(x18921,a3))+~P6(f295(a262,x18922))+~P6(f295(f329(a376,f119(x18921,x18923,x18922)),f118(x18921,x18923,x18922)))+~P6(f295(f286(a388,x18922),x18923))
% 7.28/7.44 [1893]P6(f312(x18931,x18932))+~P6(f312(x18931,a5))+~P6(f312(a240,x18932))+~P6(f312(f308(a375,f120(x18931,x18933,x18932)),f126(x18931,x18933,x18932)))+~P6(f312(f293(a389,x18932),x18933))
% 7.28/7.44 [1894]P6(f296(x18941,x18942))+~P6(f296(x18941,a8))+~P6(f296(a256,x18942))+~P6(f296(f314(a372,f121(x18941,x18943,x18942)),f125(x18941,x18943,x18942)))+~P6(f296(f311(a391,x18942),x18943))
% 7.28/7.44 [1895]P6(f270(x18951,x18952))+~P6(f270(x18951,a4))+~P6(f270(a241,x18952))+~P6(f270(f303(a370,f123(x18951,x18953,x18952)),f124(x18951,x18953,x18952)))+~P6(f270(f299(a390,x18952),x18953))
% 7.28/7.44 [1804]P6(f268(x18041,x18042))+~P6(f268(x18041,a9))+~P6(f268(a237,x18042))+~P6(f268(f294(a386,x18042),x18043))+P6(f268(f277(a371,f115(x18041,x18043,x18042)),x18043))
% 7.28/7.44 [1805]P6(f269(x18051,x18052))+~P6(f269(x18051,a10))+~P6(f269(a261,x18052))+~P6(f269(f310(a387,x18052),x18053))+P6(f269(f338(a369,f117(x18051,x18053,x18052)),x18053))
% 7.28/7.44 [1806]P6(f295(x18061,x18062))+~P6(f295(x18061,a3))+~P6(f295(a262,x18062))+~P6(f295(f286(a388,x18062),x18063))+P6(f295(f329(a376,f119(x18061,x18063,x18062)),x18063))
% 7.28/7.44 [1807]P6(f312(x18071,x18072))+~P6(f312(x18071,a5))+~P6(f312(a240,x18072))+~P6(f312(f293(a389,x18072),x18073))+P6(f312(f308(a375,f120(x18071,x18073,x18072)),x18073))
% 7.28/7.44 [1808]P6(f296(x18081,x18082))+~P6(f296(x18081,a8))+~P6(f296(a256,x18082))+~P6(f296(f311(a391,x18082),x18083))+P6(f296(f314(a372,f121(x18081,x18083,x18082)),x18083))
% 7.28/7.44 [1809]P6(f270(x18091,x18092))+~P6(f270(x18091,a4))+~P6(f270(a241,x18092))+~P6(f270(f299(a390,x18092),x18093))+P6(f270(f303(a370,f123(x18091,x18093,x18092)),x18093))
% 7.28/7.44 [1979]P6(f295(x19791,x19792))+~P6(f295(x19791,a3))+~P6(f295(a262,x19792))+~P6(f295(f286(a388,x19792),x19793))+~P6(f295(x19791,f96(f22(a242,f328(f16(a248),f119(x19791,x19793,x19792))),f320(f68(a376),f118(x19791,x19793,x19792)))))
% 7.28/7.44 [1980]P6(f270(x19801,x19802))+~P6(f270(x19801,a4))+~P6(f270(a241,x19802))+~P6(f270(f299(a390,x19802),x19803))+~P6(f270(x19801,f95(f43(a242,f286(f64(a244),f123(x19801,x19803,x19802))),f290(f59(a370),f124(x19801,x19803,x19802)))))
% 7.28/7.44 [1903]~P5(x19032)+~P5(x19031)+E(x19031,x19032)+P6(f274(x19033,x19032))+~P6(f274(f88(f91(f36(a242,f280(f53(a245),x19031)),f304(f54(a371),x19033))),x19032))
% 7.28/7.44 [1904]~P8(x19042)+~P8(x19041)+E(x19041,x19042)+P6(f345(x19043,x19042))+~P6(f345(f100(f92(f49(a242,f343(f55(a249),x19041)),f318(f56(a369),x19043))),x19042))
% 7.28/7.44 [1920]~P5(x19202)+~P5(x19201)+E(x19201,x19202)+P6(f268(f277(a371,x19201),x19203))+~P6(f268(f277(a371,x19201),f88(f91(f36(a242,f280(f53(a245),x19202)),f304(f54(a371),x19203)))))
% 7.28/7.44 [1922]~P8(x19222)+~P8(x19221)+E(x19221,x19222)+P6(f269(f338(a369,x19221),x19223))+~P6(f269(f338(a369,x19221),f100(f92(f49(a242,f343(f55(a249),x19222)),f318(f56(a369),x19223)))))
% 7.28/7.44 [1990]P6(f268(x19901,x19902))+~P6(f268(x19901,a9))+~P6(f268(a237,x19902))+~P6(f268(f294(a386,x19902),x19903))+~P6(f268(x19901,f88(f91(f36(a242,f280(f53(a245),f115(x19901,x19903,x19902))),f304(f54(a371),f114(x19901,x19903,x19902))))))
% 7.28/7.44 [1991]P6(f269(x19911,x19912))+~P6(f269(x19911,a10))+~P6(f269(a261,x19912))+~P6(f269(f310(a387,x19912),x19913))+~P6(f269(x19911,f100(f92(f49(a242,f343(f55(a249),f117(x19911,x19913,x19912))),f318(f56(a369),f116(x19911,x19913,x19912))))))
% 7.28/7.44 [1992]P6(f312(x19921,x19922))+~P6(f312(x19921,a5))+~P6(f312(a240,x19922))+~P6(f312(f293(a389,x19922),x19923))+~P6(f312(x19921,f101(f93(f41(a242,f294(f62(a247),f120(x19921,x19923,x19922))),f306(f70(a375),f126(x19921,x19923,x19922))))))
% 7.28/7.44 [1993]P6(f296(x19931,x19932))+~P6(f296(x19931,a8))+~P6(f296(a256,x19932))+~P6(f296(f311(a391,x19932),x19933))+~P6(f296(x19931,f90(f94(f37(a242,f310(f58(a246),f121(x19931,x19933,x19932))),f313(f71(a372),f125(x19931,x19933,x19932))))))
% 7.28/7.44 [1428]~P1(x14281)+~P7(x14284)+~E(x14281,f332(x14282,x14284))+~P6(f269(f310(a387,x14284),x14283))+P6(f268(f294(a386,x14281),f332(x14282,x14283)))
% 7.28/7.44 [1429]~P1(x14294)+~P7(x14291)+~E(x14291,f363(x14292,x14294))+~P6(f268(f294(a386,x14294),x14293))+P6(f269(f310(a387,x14291),f363(x14292,x14293)))
% 7.28/7.44 [1725]~P1(x17252)+~P1(x17251)+E(x17251,x17252)+~P6(f268(a237,x17252))+~P6(f268(f294(a386,x17251),x17252))+~P6(f330(f328(a384,f324(a258,x17252)),f324(a258,x17251)))
% 7.28/7.44 [1726]~P7(x17262)+~P7(x17261)+E(x17261,x17262)+~P6(f269(a261,x17262))+~P6(f269(f310(a387,x17261),x17262))+~P6(f330(f328(a384,f321(a260,x17262)),f321(a260,x17261)))
% 7.28/7.44 [1727]~P2(x17272)+~P2(x17271)+E(x17271,x17272)+~P6(f312(a240,x17272))+~P6(f312(f293(a389,x17271),x17272))+~P6(f330(f328(a384,f305(a253,x17272)),f305(a253,x17271)))
% 7.28/7.44 [1728]~P3(x17282)+~P3(x17281)+E(x17281,x17282)+~P6(f296(a256,x17282))+~P6(f296(f311(a391,x17281),x17282))+~P6(f330(f328(a384,f315(a252,x17282)),f315(a252,x17281)))
% 7.28/7.44 [1851]~P1(x18512)+~P1(x18511)+E(x18511,x18512)+P6(f268(f277(a371,x18513),x18511))+~E(f88(f91(f36(a242,f280(f53(a245),x18513)),f304(f54(a371),x18511))),f88(f91(f36(a242,f280(f53(a245),x18513)),f304(f54(a371),x18512))))+P6(f268(f277(a371,x18513),x18512))
% 7.28/7.44 [1852]~P7(x18522)+~P7(x18521)+E(x18521,x18522)+P6(f269(f338(a369,x18523),x18521))+~E(f100(f92(f49(a242,f343(f55(a249),x18523)),f318(f56(a369),x18521))),f100(f92(f49(a242,f343(f55(a249),x18523)),f318(f56(a369),x18522))))+P6(f269(f338(a369,x18523),x18522))
% 7.28/7.44 [1961]~E(x19612,x19613)+~E(x19611,x19614)+~P5(x19613)+~P5(x19612)+~P5(x19614)+~P5(x19611)+E(f88(f91(f36(a242,f280(f53(a245),x19611)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19612)),f304(f54(a371),a9)))))),f88(f91(f36(a242,f280(f53(a245),x19613)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19614)),f304(f54(a371),a9)))))))
% 7.28/7.44 [1962]~E(x19622,x19623)+~E(x19621,x19624)+~P8(x19623)+~P8(x19622)+~P8(x19624)+~P8(x19621)+E(f100(f92(f49(a242,f343(f55(a249),x19621)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19622)),f318(f56(a369),a10)))))),f100(f92(f49(a242,f343(f55(a249),x19623)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19624)),f318(f56(a369),a10)))))))
% 7.28/7.44 [1982]~P5(x19824)+~P5(x19822)+~P5(x19821)+~P5(x19823)+E(x19821,x19822)+E(x19823,x19821)+~E(f88(f91(f36(a242,f280(f53(a245),x19821)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19824)),f304(f54(a371),a9)))))),f88(f91(f36(a242,f280(f53(a245),x19822)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19823)),f304(f54(a371),a9)))))))
% 7.28/7.44 [1983]~P5(x19834)+~P5(x19832)+~P5(x19831)+~P5(x19833)+E(x19831,x19832)+E(x19833,x19831)+~E(f88(f91(f36(a242,f280(f53(a245),x19833)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19832)),f304(f54(a371),a9)))))),f88(f91(f36(a242,f280(f53(a245),x19834)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19831)),f304(f54(a371),a9)))))))
% 7.28/7.44 [1984]~P8(x19844)+~P8(x19842)+~P8(x19841)+~P8(x19843)+E(x19841,x19842)+E(x19843,x19841)+~E(f100(f92(f49(a242,f343(f55(a249),x19841)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19844)),f318(f56(a369),a10)))))),f100(f92(f49(a242,f343(f55(a249),x19842)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19843)),f318(f56(a369),a10)))))))
% 7.28/7.44 [1985]~P8(x19854)+~P8(x19852)+~P8(x19851)+~P8(x19853)+E(x19851,x19852)+E(x19853,x19851)+~E(f100(f92(f49(a242,f343(f55(a249),x19853)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19852)),f318(f56(a369),a10)))))),f100(f92(f49(a242,f343(f55(a249),x19854)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19851)),f318(f56(a369),a10)))))))
% 7.28/7.44 [1986]~P5(x19864)+~P5(x19862)+~P5(x19863)+~P5(x19861)+E(x19861,x19862)+E(x19861,x19863)+~E(f88(f91(f36(a242,f280(f53(a245),x19863)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19862)),f304(f54(a371),a9)))))),f88(f91(f36(a242,f280(f53(a245),x19864)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19861)),f304(f54(a371),a9)))))))
% 7.28/7.44 [1987]~P5(x19874)+~P5(x19872)+~P5(x19873)+~P5(x19871)+E(x19871,x19872)+E(x19871,x19873)+~E(f88(f91(f36(a242,f280(f53(a245),x19871)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19874)),f304(f54(a371),a9)))))),f88(f91(f36(a242,f280(f53(a245),x19872)),f304(f54(a371),f88(f91(f36(a242,f280(f53(a245),x19873)),f304(f54(a371),a9)))))))
% 7.28/7.44 [1988]~P8(x19884)+~P8(x19882)+~P8(x19883)+~P8(x19881)+E(x19881,x19882)+E(x19881,x19883)+~E(f100(f92(f49(a242,f343(f55(a249),x19883)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19882)),f318(f56(a369),a10)))))),f100(f92(f49(a242,f343(f55(a249),x19884)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19881)),f318(f56(a369),a10)))))))
% 7.28/7.44 [1989]~P8(x19894)+~P8(x19892)+~P8(x19893)+~P8(x19891)+E(x19891,x19892)+E(x19891,x19893)+~E(f100(f92(f49(a242,f343(f55(a249),x19891)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19894)),f318(f56(a369),a10)))))),f100(f92(f49(a242,f343(f55(a249),x19892)),f318(f56(a369),f100(f92(f49(a242,f343(f55(a249),x19893)),f318(f56(a369),a10)))))))
% 7.28/7.44 %EqnAxiom
% 7.28/7.44 [1]E(x11,x11)
% 7.28/7.44 [2]E(x22,x21)+~E(x21,x22)
% 7.28/7.44 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 7.28/7.44 [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 7.28/7.44 [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 7.28/7.44 [6]~E(x61,x62)+E(f85(x61),f85(x62))
% 7.28/7.44 [7]~E(x71,x72)+E(f88(x71),f88(x72))
% 7.28/7.44 [8]~E(x81,x82)+E(f89(x81),f89(x82))
% 7.28/7.44 [9]~E(x91,x92)+E(f100(x91),f100(x92))
% 7.28/7.44 [10]~E(x101,x102)+E(f86(x101),f86(x102))
% 7.28/7.44 [11]~E(x111,x112)+E(f101(x111),f101(x112))
% 7.28/7.44 [12]~E(x121,x122)+E(f15(x121),f15(x122))
% 7.28/7.44 [13]~E(x131,x132)+E(f90(x131),f90(x132))
% 7.28/7.44 [14]~E(x141,x142)+E(f397(x141),f397(x142))
% 7.28/7.44 [15]~E(x151,x152)+E(f401(x151),f401(x152))
% 7.28/7.44 [16]~E(x161,x162)+E(f403(x161),f403(x162))
% 7.28/7.44 [17]~E(x171,x172)+E(f266(x171),f266(x172))
% 7.28/7.44 [18]~E(x181,x182)+E(f267(x181,x183),f267(x182,x183))
% 7.28/7.44 [19]~E(x191,x192)+E(f267(x193,x191),f267(x193,x192))
% 7.28/7.44 [20]~E(x201,x202)+E(f332(x201,x203),f332(x202,x203))
% 7.28/7.44 [21]~E(x211,x212)+E(f332(x213,x211),f332(x213,x212))
% 7.28/7.44 [22]~E(x221,x222)+E(f378(x221),f378(x222))
% 7.28/7.44 [23]~E(x231,x232)+E(f59(x231),f59(x232))
% 7.28/7.44 [24]~E(x241,x242)+E(f328(x241,x243),f328(x242,x243))
% 7.28/7.44 [25]~E(x251,x252)+E(f328(x253,x251),f328(x253,x252))
% 7.28/7.44 [26]~E(x261,x262)+E(f43(x261,x263),f43(x262,x263))
% 7.28/7.44 [27]~E(x271,x272)+E(f43(x273,x271),f43(x273,x272))
% 7.28/7.44 [28]~E(x281,x282)+E(f268(x281,x283),f268(x282,x283))
% 7.28/7.44 [29]~E(x291,x292)+E(f268(x293,x291),f268(x293,x292))
% 7.28/7.44 [30]~E(x301,x302)+E(f286(x301,x303),f286(x302,x303))
% 7.28/7.44 [31]~E(x311,x312)+E(f286(x313,x311),f286(x313,x312))
% 7.28/7.44 [32]~E(x321,x322)+E(f91(x321,x323),f91(x322,x323))
% 7.28/7.44 [33]~E(x331,x332)+E(f91(x333,x331),f91(x333,x332))
% 7.28/7.44 [34]~E(x341,x342)+E(f269(x341,x343),f269(x342,x343))
% 7.28/7.44 [35]~E(x351,x352)+E(f269(x353,x351),f269(x353,x352))
% 7.28/7.44 [36]~E(x361,x362)+E(f270(x361,x363),f270(x362,x363))
% 7.28/7.44 [37]~E(x371,x372)+E(f270(x373,x371),f270(x373,x372))
% 7.28/7.44 [38]~E(x381,x382)+E(f295(x381,x383),f295(x382,x383))
% 7.28/7.44 [39]~E(x391,x392)+E(f295(x393,x391),f295(x393,x392))
% 7.28/7.44 [40]~E(x401,x402)+E(f312(x401,x403),f312(x402,x403))
% 7.28/7.44 [41]~E(x411,x412)+E(f312(x413,x411),f312(x413,x412))
% 7.28/7.44 [42]~E(x421,x422)+E(f296(x421,x423),f296(x422,x423))
% 7.28/7.44 [43]~E(x431,x432)+E(f296(x433,x431),f296(x433,x432))
% 7.28/7.44 [44]~E(x441,x442)+E(f71(x441),f71(x442))
% 7.28/7.44 [45]~E(x451,x452)+E(f382(x451),f382(x452))
% 7.28/7.44 [46]~E(x461,x462)+E(f123(x461,x463,x464),f123(x462,x463,x464))
% 7.28/7.44 [47]~E(x471,x472)+E(f123(x473,x471,x474),f123(x473,x472,x474))
% 7.28/7.44 [48]~E(x481,x482)+E(f123(x483,x484,x481),f123(x483,x484,x482))
% 7.28/7.44 [49]~E(x491,x492)+E(f64(x491),f64(x492))
% 7.28/7.44 [50]~E(x501,x502)+E(f333(x501,x503),f333(x502,x503))
% 7.28/7.44 [51]~E(x511,x512)+E(f333(x513,x511),f333(x513,x512))
% 7.28/7.44 [52]~E(x521,x522)+E(f334(x521,x523),f334(x522,x523))
% 7.28/7.44 [53]~E(x531,x532)+E(f334(x533,x531),f334(x533,x532))
% 7.28/7.44 [54]~E(x541,x542)+E(f322(x541,x543),f322(x542,x543))
% 7.28/7.44 [55]~E(x551,x552)+E(f322(x553,x551),f322(x553,x552))
% 7.28/7.44 [56]~E(x561,x562)+E(f271(x561,x563),f271(x562,x563))
% 7.28/7.44 [57]~E(x571,x572)+E(f271(x573,x571),f271(x573,x572))
% 7.28/7.44 [58]~E(x581,x582)+E(f366(x581,x583),f366(x582,x583))
% 7.28/7.44 [59]~E(x591,x592)+E(f366(x593,x591),f366(x593,x592))
% 7.28/7.44 [60]~E(x601,x602)+E(f335(x601,x603),f335(x602,x603))
% 7.28/7.44 [61]~E(x611,x612)+E(f335(x613,x611),f335(x613,x612))
% 7.28/7.44 [62]~E(x621,x622)+E(f323(x621,x623),f323(x622,x623))
% 7.28/7.44 [63]~E(x631,x632)+E(f323(x633,x631),f323(x633,x632))
% 7.28/7.44 [64]~E(x641,x642)+E(f316(x641,x643),f316(x642,x643))
% 7.28/7.44 [65]~E(x651,x652)+E(f316(x653,x651),f316(x653,x652))
% 7.28/7.44 [66]~E(x661,x662)+E(f367(x661,x663),f367(x662,x663))
% 7.28/7.44 [67]~E(x671,x672)+E(f367(x673,x671),f367(x673,x672))
% 7.28/7.44 [68]~E(x681,x682)+E(f326(x681,x683),f326(x682,x683))
% 7.28/7.44 [69]~E(x691,x692)+E(f326(x693,x691),f326(x693,x692))
% 7.28/7.44 [70]~E(x701,x702)+E(f336(x701,x703),f336(x702,x703))
% 7.28/7.44 [71]~E(x711,x712)+E(f336(x713,x711),f336(x713,x712))
% 7.28/7.44 [72]~E(x721,x722)+E(f327(x721,x723),f327(x722,x723))
% 7.28/7.44 [73]~E(x731,x732)+E(f327(x733,x731),f327(x733,x732))
% 7.28/7.44 [74]~E(x741,x742)+E(f330(x741,x743),f330(x742,x743))
% 7.28/7.44 [75]~E(x751,x752)+E(f330(x753,x751),f330(x753,x752))
% 7.28/7.44 [76]~E(x761,x762)+E(f305(x761,x763),f305(x762,x763))
% 7.28/7.44 [77]~E(x771,x772)+E(f305(x773,x771),f305(x773,x772))
% 7.28/7.44 [78]~E(x781,x782)+E(f37(x781,x783),f37(x782,x783))
% 7.28/7.44 [79]~E(x791,x792)+E(f37(x793,x791),f37(x793,x792))
% 7.28/7.44 [80]~E(x801,x802)+E(f300(x801,x803),f300(x802,x803))
% 7.28/7.44 [81]~E(x811,x812)+E(f300(x813,x811),f300(x813,x812))
% 7.28/7.44 [82]~E(x821,x822)+E(f309(x821,x823),f309(x822,x823))
% 7.28/7.44 [83]~E(x831,x832)+E(f309(x833,x831),f309(x833,x832))
% 7.28/7.44 [84]~E(x841,x842)+E(f317(x841,x843),f317(x842,x843))
% 7.28/7.44 [85]~E(x851,x852)+E(f317(x853,x851),f317(x853,x852))
% 7.28/7.44 [86]~E(x861,x862)+E(f331(x861,x863),f331(x862,x863))
% 7.28/7.44 [87]~E(x871,x872)+E(f331(x873,x871),f331(x873,x872))
% 7.28/7.44 [88]~E(x881,x882)+E(f337(x881,x883),f337(x882,x883))
% 7.28/7.44 [89]~E(x891,x892)+E(f337(x893,x891),f337(x893,x892))
% 7.28/7.44 [90]~E(x901,x902)+E(f272(x901,x903),f272(x902,x903))
% 7.28/7.44 [91]~E(x911,x912)+E(f272(x913,x911),f272(x913,x912))
% 7.28/7.44 [92]~E(x921,x922)+E(f374(x921,x923),f374(x922,x923))
% 7.28/7.44 [93]~E(x931,x932)+E(f374(x933,x931),f374(x933,x932))
% 7.28/7.44 [94]~E(x941,x942)+E(f310(x941,x943),f310(x942,x943))
% 7.28/7.44 [95]~E(x951,x952)+E(f310(x953,x951),f310(x953,x952))
% 7.28/7.44 [96]~E(x961,x962)+E(f299(x961,x963),f299(x962,x963))
% 7.28/7.44 [97]~E(x971,x972)+E(f299(x973,x971),f299(x973,x972))
% 7.28/7.44 [98]~E(x981,x982)+E(f96(x981,x983),f96(x982,x983))
% 7.28/7.44 [99]~E(x991,x992)+E(f96(x993,x991),f96(x993,x992))
% 7.28/7.44 [100]~E(x1001,x1002)+E(f58(x1001),f58(x1002))
% 7.28/7.44 [101]~E(x1011,x1012)+E(f343(x1011,x1013),f343(x1012,x1013))
% 7.28/7.44 [102]~E(x1021,x1022)+E(f343(x1023,x1021),f343(x1023,x1022))
% 7.28/7.44 [103]~E(x1031,x1032)+E(f92(x1031,x1033),f92(x1032,x1033))
% 7.28/7.44 [104]~E(x1041,x1042)+E(f92(x1043,x1041),f92(x1043,x1042))
% 7.28/7.44 [105]~E(x1051,x1052)+E(f16(x1051),f16(x1052))
% 7.28/7.44 [106]~E(x1061,x1062)+E(f54(x1061),f54(x1062))
% 7.28/7.44 [107]~E(x1071,x1072)+E(f301(x1071,x1073),f301(x1072,x1073))
% 7.28/7.44 [108]~E(x1081,x1082)+E(f301(x1083,x1081),f301(x1083,x1082))
% 7.28/7.44 [109]~E(x1091,x1092)+E(f277(x1091,x1093),f277(x1092,x1093))
% 7.28/7.44 [110]~E(x1101,x1102)+E(f277(x1103,x1101),f277(x1103,x1102))
% 7.28/7.44 [111]~E(x1111,x1112)+E(f313(x1111,x1113),f313(x1112,x1113))
% 7.28/7.44 [112]~E(x1121,x1122)+E(f313(x1123,x1121),f313(x1123,x1122))
% 7.28/7.44 [113]~E(x1131,x1132)+E(f329(x1131,x1133),f329(x1132,x1133))
% 7.28/7.44 [114]~E(x1141,x1142)+E(f329(x1143,x1141),f329(x1143,x1142))
% 7.28/7.44 [115]~E(x1151,x1152)+E(f263(x1151,x1153),f263(x1152,x1153))
% 7.28/7.44 [116]~E(x1161,x1162)+E(f263(x1163,x1161),f263(x1163,x1162))
% 7.28/7.44 [117]~E(x1171,x1172)+E(f402(x1171),f402(x1172))
% 7.28/7.44 [118]~E(x1181,x1182)+E(f280(x1181,x1183),f280(x1182,x1183))
% 7.28/7.44 [119]~E(x1191,x1192)+E(f280(x1193,x1191),f280(x1193,x1192))
% 7.28/7.44 [120]~E(x1201,x1202)+E(f398(x1201),f398(x1202))
% 7.28/7.44 [121]~E(x1211,x1212)+E(f183(x1211,x1213),f183(x1212,x1213))
% 7.28/7.44 [122]~E(x1221,x1222)+E(f183(x1223,x1221),f183(x1223,x1222))
% 7.28/7.44 [123]~E(x1231,x1232)+E(f358(x1231,x1233),f358(x1232,x1233))
% 7.28/7.44 [124]~E(x1241,x1242)+E(f358(x1243,x1241),f358(x1243,x1242))
% 7.28/7.44 [125]~E(x1251,x1252)+E(f53(x1251),f53(x1252))
% 7.28/7.44 [126]~E(x1261,x1262)+E(f373(x1261,x1263),f373(x1262,x1263))
% 7.28/7.44 [127]~E(x1271,x1272)+E(f373(x1273,x1271),f373(x1273,x1272))
% 7.28/7.44 [128]~E(x1281,x1282)+E(f169(x1281,x1283,x1284),f169(x1282,x1283,x1284))
% 7.28/7.44 [129]~E(x1291,x1292)+E(f169(x1293,x1291,x1294),f169(x1293,x1292,x1294))
% 7.28/7.44 [130]~E(x1301,x1302)+E(f169(x1303,x1304,x1301),f169(x1303,x1304,x1302))
% 7.28/7.44 [131]~E(x1311,x1312)+E(f320(x1311,x1313),f320(x1312,x1313))
% 7.28/7.44 [132]~E(x1321,x1322)+E(f320(x1323,x1321),f320(x1323,x1322))
% 7.28/7.44 [133]~E(x1331,x1332)+E(f294(x1331,x1333),f294(x1332,x1333))
% 7.28/7.44 [134]~E(x1341,x1342)+E(f294(x1343,x1341),f294(x1343,x1342))
% 7.28/7.44 [135]~E(x1351,x1352)+E(f357(x1351,x1353),f357(x1352,x1353))
% 7.28/7.44 [136]~E(x1361,x1362)+E(f357(x1363,x1361),f357(x1363,x1362))
% 7.28/7.44 [137]~E(x1371,x1372)+E(f118(x1371,x1373,x1374),f118(x1372,x1373,x1374))
% 7.28/7.44 [138]~E(x1381,x1382)+E(f118(x1383,x1381,x1384),f118(x1383,x1382,x1384))
% 7.28/7.44 [139]~E(x1391,x1392)+E(f118(x1393,x1394,x1391),f118(x1393,x1394,x1392))
% 7.28/7.44 [140]~E(x1401,x1402)+E(f324(x1401,x1403),f324(x1402,x1403))
% 7.28/7.44 [141]~E(x1411,x1412)+E(f324(x1413,x1411),f324(x1413,x1412))
% 7.28/7.44 [142]~E(x1421,x1422)+E(f68(x1421),f68(x1422))
% 7.28/7.44 [143]~E(x1431,x1432)+E(f338(x1431,x1433),f338(x1432,x1433))
% 7.28/7.44 [144]~E(x1441,x1442)+E(f338(x1443,x1441),f338(x1443,x1442))
% 7.28/7.44 [145]~E(x1451,x1452)+E(f139(x1451,x1453,x1454),f139(x1452,x1453,x1454))
% 7.28/7.44 [146]~E(x1461,x1462)+E(f139(x1463,x1461,x1464),f139(x1463,x1462,x1464))
% 7.28/7.44 [147]~E(x1471,x1472)+E(f139(x1473,x1474,x1471),f139(x1473,x1474,x1472))
% 7.28/7.44 [148]~E(x1481,x1482)+E(f273(x1481,x1483),f273(x1482,x1483))
% 7.28/7.44 [149]~E(x1491,x1492)+E(f273(x1493,x1491),f273(x1493,x1492))
% 7.28/7.44 [150]~E(x1501,x1502)+E(f285(x1501,x1503),f285(x1502,x1503))
% 7.28/7.44 [151]~E(x1511,x1512)+E(f285(x1513,x1511),f285(x1513,x1512))
% 7.28/7.44 [152]~E(x1521,x1522)+E(f62(x1521),f62(x1522))
% 7.28/7.44 [153]~E(x1531,x1532)+E(f364(x1531,x1533),f364(x1532,x1533))
% 7.28/7.44 [154]~E(x1541,x1542)+E(f364(x1543,x1541),f364(x1543,x1542))
% 7.28/7.44 [155]~E(x1551,x1552)+E(f184(x1551,x1553),f184(x1552,x1553))
% 7.28/7.44 [156]~E(x1561,x1562)+E(f184(x1563,x1561),f184(x1563,x1562))
% 7.28/7.44 [157]~E(x1571,x1572)+E(f346(x1571,x1573),f346(x1572,x1573))
% 7.28/7.44 [158]~E(x1581,x1582)+E(f346(x1583,x1581),f346(x1583,x1582))
% 7.28/7.44 [159]~E(x1591,x1592)+E(f49(x1591,x1593),f49(x1592,x1593))
% 7.28/7.44 [160]~E(x1601,x1602)+E(f49(x1603,x1601),f49(x1603,x1602))
% 7.28/7.44 [161]~E(x1611,x1612)+E(f321(x1611,x1613),f321(x1612,x1613))
% 7.28/7.44 [162]~E(x1621,x1622)+E(f321(x1623,x1621),f321(x1623,x1622))
% 7.28/7.44 [163]~E(x1631,x1632)+E(f126(x1631,x1633,x1634),f126(x1632,x1633,x1634))
% 7.28/7.44 [164]~E(x1641,x1642)+E(f126(x1643,x1641,x1644),f126(x1643,x1642,x1644))
% 7.28/7.44 [165]~E(x1651,x1652)+E(f126(x1653,x1654,x1651),f126(x1653,x1654,x1652))
% 7.28/7.44 [166]~E(x1661,x1662)+E(f304(x1661,x1663),f304(x1662,x1663))
% 7.28/7.44 [167]~E(x1671,x1672)+E(f304(x1673,x1671),f304(x1673,x1672))
% 7.28/7.44 [168]~E(x1681,x1682)+E(f362(x1681,x1683),f362(x1682,x1683))
% 7.28/7.44 [169]~E(x1691,x1692)+E(f362(x1693,x1691),f362(x1693,x1692))
% 7.28/7.44 [170]~E(x1701,x1702)+E(f350(x1701,x1703),f350(x1702,x1703))
% 7.28/7.44 [171]~E(x1711,x1712)+E(f350(x1713,x1711),f350(x1713,x1712))
% 7.28/7.44 [172]~E(x1721,x1722)+E(f55(x1721),f55(x1722))
% 7.28/7.44 [173]~E(x1731,x1732)+E(f134(x1731,x1733),f134(x1732,x1733))
% 7.28/7.44 [174]~E(x1741,x1742)+E(f134(x1743,x1741),f134(x1743,x1742))
% 7.28/7.44 [175]~E(x1751,x1752)+E(f351(x1751,x1753),f351(x1752,x1753))
% 7.28/7.44 [176]~E(x1761,x1762)+E(f351(x1763,x1761),f351(x1763,x1762))
% 7.28/7.44 [177]~E(x1771,x1772)+E(f276(x1771,x1773),f276(x1772,x1773))
% 7.28/7.44 [178]~E(x1781,x1782)+E(f276(x1783,x1781),f276(x1783,x1782))
% 7.28/7.44 [179]~E(x1791,x1792)+E(f36(x1791,x1793),f36(x1792,x1793))
% 7.28/7.44 [180]~E(x1801,x1802)+E(f36(x1803,x1801),f36(x1803,x1802))
% 7.28/7.44 [181]~E(x1811,x1812)+E(f22(x1811,x1813),f22(x1812,x1813))
% 7.28/7.44 [182]~E(x1821,x1822)+E(f22(x1823,x1821),f22(x1823,x1822))
% 7.28/7.44 [183]~E(x1831,x1832)+E(f318(x1831,x1833),f318(x1832,x1833))
% 7.28/7.44 [184]~E(x1841,x1842)+E(f318(x1843,x1841),f318(x1843,x1842))
% 7.28/7.44 [185]~E(x1851,x1852)+E(f166(x1851,x1853,x1854),f166(x1852,x1853,x1854))
% 7.28/7.44 [186]~E(x1861,x1862)+E(f166(x1863,x1861,x1864),f166(x1863,x1862,x1864))
% 7.28/7.44 [187]~E(x1871,x1872)+E(f166(x1873,x1874,x1871),f166(x1873,x1874,x1872))
% 7.28/7.44 [188]~E(x1881,x1882)+E(f363(x1881,x1883),f363(x1882,x1883))
% 7.28/7.44 [189]~E(x1891,x1892)+E(f363(x1893,x1891),f363(x1893,x1892))
% 7.28/7.44 [190]~E(x1901,x1902)+E(f293(x1901,x1903),f293(x1902,x1903))
% 7.28/7.44 [191]~E(x1911,x1912)+E(f293(x1913,x1911),f293(x1913,x1912))
% 7.28/7.44 [192]~E(x1921,x1922)+E(f35(x1921,x1923),f35(x1922,x1923))
% 7.28/7.44 [193]~E(x1931,x1932)+E(f35(x1933,x1931),f35(x1933,x1932))
% 7.28/7.44 [194]~E(x1941,x1942)+E(f145(x1941,x1943,x1944),f145(x1942,x1943,x1944))
% 7.28/7.44 [195]~E(x1951,x1952)+E(f145(x1953,x1951,x1954),f145(x1953,x1952,x1954))
% 7.28/7.44 [196]~E(x1961,x1962)+E(f145(x1963,x1964,x1961),f145(x1963,x1964,x1962))
% 7.28/7.44 [197]~E(x1971,x1972)+E(f303(x1971,x1973),f303(x1972,x1973))
% 7.28/7.44 [198]~E(x1981,x1982)+E(f303(x1983,x1981),f303(x1983,x1982))
% 7.28/7.44 [199]~E(x1991,x1992)+E(f130(x1991,x1993,x1994),f130(x1992,x1993,x1994))
% 7.28/7.44 [200]~E(x2001,x2002)+E(f130(x2003,x2001,x2004),f130(x2003,x2002,x2004))
% 7.28/7.44 [201]~E(x2011,x2012)+E(f130(x2013,x2014,x2011),f130(x2013,x2014,x2012))
% 7.28/7.44 [202]~E(x2021,x2022)+E(f315(x2021,x2023),f315(x2022,x2023))
% 7.28/7.44 [203]~E(x2031,x2032)+E(f315(x2033,x2031),f315(x2033,x2032))
% 7.28/7.44 [204]~E(x2041,x2042)+E(f229(x2041),f229(x2042))
% 7.28/7.44 [205]~E(x2051,x2052)+E(f162(x2051,x2053,x2054),f162(x2052,x2053,x2054))
% 7.28/7.44 [206]~E(x2061,x2062)+E(f162(x2063,x2061,x2064),f162(x2063,x2062,x2064))
% 7.28/7.44 [207]~E(x2071,x2072)+E(f162(x2073,x2074,x2071),f162(x2073,x2074,x2072))
% 7.28/7.44 [208]~E(x2081,x2082)+E(f154(x2081,x2083,x2084),f154(x2082,x2083,x2084))
% 7.28/7.44 [209]~E(x2091,x2092)+E(f154(x2093,x2091,x2094),f154(x2093,x2092,x2094))
% 7.28/7.44 [210]~E(x2101,x2102)+E(f154(x2103,x2104,x2101),f154(x2103,x2104,x2102))
% 7.28/7.44 [211]~E(x2111,x2112)+E(f163(x2111,x2113,x2114),f163(x2112,x2113,x2114))
% 7.28/7.44 [212]~E(x2121,x2122)+E(f163(x2123,x2121,x2124),f163(x2123,x2122,x2124))
% 7.28/7.44 [213]~E(x2131,x2132)+E(f163(x2133,x2134,x2131),f163(x2133,x2134,x2132))
% 7.28/7.44 [214]~E(x2141,x2142)+E(f353(x2141,x2143),f353(x2142,x2143))
% 7.28/7.44 [215]~E(x2151,x2152)+E(f353(x2153,x2151),f353(x2153,x2152))
% 7.28/7.44 [216]~E(x2161,x2162)+E(f274(x2161,x2163),f274(x2162,x2163))
% 7.28/7.44 [217]~E(x2171,x2172)+E(f274(x2173,x2171),f274(x2173,x2172))
% 7.28/7.44 [218]~E(x2181,x2182)+E(f186(x2181,x2183),f186(x2182,x2183))
% 7.28/7.44 [219]~E(x2191,x2192)+E(f186(x2193,x2191),f186(x2193,x2192))
% 7.28/7.44 [220]~E(x2201,x2202)+E(f284(x2201,x2203),f284(x2202,x2203))
% 7.28/7.44 [221]~E(x2211,x2212)+E(f284(x2213,x2211),f284(x2213,x2212))
% 7.28/7.44 [222]~E(x2221,x2222)+E(f355(x2221,x2223),f355(x2222,x2223))
% 7.28/7.44 [223]~E(x2231,x2232)+E(f355(x2233,x2231),f355(x2233,x2232))
% 7.28/7.44 [224]~E(x2241,x2242)+E(f345(x2241,x2243),f345(x2242,x2243))
% 7.28/7.44 [225]~E(x2251,x2252)+E(f345(x2253,x2251),f345(x2253,x2252))
% 7.28/7.44 [226]~E(x2261,x2262)+E(f29(x2261,x2263),f29(x2262,x2263))
% 7.28/7.44 [227]~E(x2271,x2272)+E(f29(x2273,x2271),f29(x2273,x2272))
% 7.28/7.44 [228]~E(x2281,x2282)+E(f17(x2281,x2283),f17(x2282,x2283))
% 7.28/7.44 [229]~E(x2291,x2292)+E(f17(x2293,x2291),f17(x2293,x2292))
% 7.28/7.44 [230]~E(x2301,x2302)+E(f104(x2301),f104(x2302))
% 7.28/7.44 [231]~E(x2311,x2312)+E(f197(x2311,x2313,x2314),f197(x2312,x2313,x2314))
% 7.28/7.44 [232]~E(x2321,x2322)+E(f197(x2323,x2321,x2324),f197(x2323,x2322,x2324))
% 7.28/7.44 [233]~E(x2331,x2332)+E(f197(x2333,x2334,x2331),f197(x2333,x2334,x2332))
% 7.28/7.44 [234]~E(x2341,x2342)+E(f56(x2341),f56(x2342))
% 7.28/7.44 [235]~E(x2351,x2352)+E(f18(x2351,x2353),f18(x2352,x2353))
% 7.28/7.44 [236]~E(x2361,x2362)+E(f18(x2363,x2361),f18(x2363,x2362))
% 7.28/7.44 [237]~E(x2371,x2372)+E(f94(x2371,x2373),f94(x2372,x2373))
% 7.28/7.44 [238]~E(x2381,x2382)+E(f94(x2383,x2381),f94(x2383,x2382))
% 7.28/7.44 [239]~E(x2391,x2392)+E(f275(x2391,x2393),f275(x2392,x2393))
% 7.28/7.44 [240]~E(x2401,x2402)+E(f275(x2403,x2401),f275(x2403,x2402))
% 7.28/7.44 [241]~E(x2411,x2412)+E(f220(x2411,x2413,x2414),f220(x2412,x2413,x2414))
% 7.28/7.44 [242]~E(x2421,x2422)+E(f220(x2423,x2421,x2424),f220(x2423,x2422,x2424))
% 7.28/7.44 [243]~E(x2431,x2432)+E(f220(x2433,x2434,x2431),f220(x2433,x2434,x2432))
% 7.28/7.44 [244]~E(x2441,x2442)+E(f281(x2441,x2443),f281(x2442,x2443))
% 7.28/7.44 [245]~E(x2451,x2452)+E(f281(x2453,x2451),f281(x2453,x2452))
% 7.28/7.44 [246]~E(x2461,x2462)+E(f213(x2461,x2463,x2464),f213(x2462,x2463,x2464))
% 7.28/7.44 [247]~E(x2471,x2472)+E(f213(x2473,x2471,x2474),f213(x2473,x2472,x2474))
% 7.28/7.44 [248]~E(x2481,x2482)+E(f213(x2483,x2484,x2481),f213(x2483,x2484,x2482))
% 7.28/7.44 [249]~E(x2491,x2492)+E(f19(x2491,x2493),f19(x2492,x2493))
% 7.28/7.44 [250]~E(x2501,x2502)+E(f19(x2503,x2501),f19(x2503,x2502))
% 7.28/7.44 [251]~E(x2511,x2512)+E(f340(x2511,x2513),f340(x2512,x2513))
% 7.28/7.44 [252]~E(x2521,x2522)+E(f340(x2523,x2521),f340(x2523,x2522))
% 7.28/7.44 [253]~E(x2531,x2532)+E(f20(x2531,x2533),f20(x2532,x2533))
% 7.28/7.44 [254]~E(x2541,x2542)+E(f20(x2543,x2541),f20(x2543,x2542))
% 7.28/7.44 [255]~E(x2551,x2552)+E(f178(x2551,x2553,x2554),f178(x2552,x2553,x2554))
% 7.28/7.44 [256]~E(x2561,x2562)+E(f178(x2563,x2561,x2564),f178(x2563,x2562,x2564))
% 7.28/7.44 [257]~E(x2571,x2572)+E(f178(x2573,x2574,x2571),f178(x2573,x2574,x2572))
% 7.28/7.44 [258]~E(x2581,x2582)+E(f95(x2581,x2583),f95(x2582,x2583))
% 7.28/7.44 [259]~E(x2591,x2592)+E(f95(x2593,x2591),f95(x2593,x2592))
% 7.28/7.44 [260]~E(x2601,x2602)+E(f348(x2601,x2603),f348(x2602,x2603))
% 7.28/7.44 [261]~E(x2611,x2612)+E(f348(x2613,x2611),f348(x2613,x2612))
% 7.28/7.44 [262]~E(x2621,x2622)+E(f21(x2621,x2623),f21(x2622,x2623))
% 7.28/7.44 [263]~E(x2631,x2632)+E(f21(x2633,x2631),f21(x2633,x2632))
% 7.28/7.44 [264]~E(x2641,x2642)+E(f278(x2641,x2643),f278(x2642,x2643))
% 7.28/7.44 [265]~E(x2651,x2652)+E(f278(x2653,x2651),f278(x2653,x2652))
% 7.28/7.44 [266]~E(x2661,x2662)+E(f161(x2661,x2663,x2664),f161(x2662,x2663,x2664))
% 7.28/7.44 [267]~E(x2671,x2672)+E(f161(x2673,x2671,x2674),f161(x2673,x2672,x2674))
% 7.28/7.44 [268]~E(x2681,x2682)+E(f161(x2683,x2684,x2681),f161(x2683,x2684,x2682))
% 7.28/7.44 [269]~E(x2691,x2692)+E(f156(x2691,x2693,x2694),f156(x2692,x2693,x2694))
% 7.28/7.44 [270]~E(x2701,x2702)+E(f156(x2703,x2701,x2704),f156(x2703,x2702,x2704))
% 7.28/7.44 [271]~E(x2711,x2712)+E(f156(x2713,x2714,x2711),f156(x2713,x2714,x2712))
% 7.28/7.44 [272]~E(x2721,x2722)+E(f47(x2721,x2723),f47(x2722,x2723))
% 7.28/7.44 [273]~E(x2731,x2732)+E(f47(x2733,x2731),f47(x2733,x2732))
% 7.28/7.44 [274]~E(x2741,x2742)+E(f365(x2741,x2743),f365(x2742,x2743))
% 7.28/7.44 [275]~E(x2751,x2752)+E(f365(x2753,x2751),f365(x2753,x2752))
% 7.28/7.44 [276]~E(x2761,x2762)+E(f361(x2761,x2763),f361(x2762,x2763))
% 7.28/7.44 [277]~E(x2771,x2772)+E(f361(x2773,x2771),f361(x2773,x2772))
% 7.28/7.44 [278]~E(x2781,x2782)+E(f198(x2781,x2783,x2784),f198(x2782,x2783,x2784))
% 7.28/7.44 [279]~E(x2791,x2792)+E(f198(x2793,x2791,x2794),f198(x2793,x2792,x2794))
% 7.28/7.44 [280]~E(x2801,x2802)+E(f198(x2803,x2804,x2801),f198(x2803,x2804,x2802))
% 7.28/7.44 [281]~E(x2811,x2812)+E(f23(x2811,x2813),f23(x2812,x2813))
% 7.28/7.44 [282]~E(x2821,x2822)+E(f23(x2823,x2821),f23(x2823,x2822))
% 7.28/7.44 [283]~E(x2831,x2832)+E(f339(x2831,x2833),f339(x2832,x2833))
% 7.28/7.44 [284]~E(x2841,x2842)+E(f339(x2843,x2841),f339(x2843,x2842))
% 7.28/7.44 [285]~E(x2851,x2852)+E(f392(x2851),f392(x2852))
% 7.28/7.44 [286]~E(x2861,x2862)+E(f67(x2861),f67(x2862))
% 7.28/7.44 [287]~E(x2871,x2872)+E(f44(x2871,x2873),f44(x2872,x2873))
% 7.28/7.44 [288]~E(x2881,x2882)+E(f44(x2883,x2881),f44(x2883,x2882))
% 7.28/7.44 [289]~E(x2891,x2892)+E(f211(x2891,x2893),f211(x2892,x2893))
% 7.28/7.44 [290]~E(x2901,x2902)+E(f211(x2903,x2901),f211(x2903,x2902))
% 7.28/7.44 [291]~E(x2911,x2912)+E(f347(x2911,x2913),f347(x2912,x2913))
% 7.28/7.44 [292]~E(x2921,x2922)+E(f347(x2923,x2921),f347(x2923,x2922))
% 7.28/7.44 [293]~E(x2931,x2932)+E(f349(x2931,x2933),f349(x2932,x2933))
% 7.28/7.44 [294]~E(x2941,x2942)+E(f349(x2943,x2941),f349(x2943,x2942))
% 7.28/7.44 [295]~E(x2951,x2952)+E(f33(x2951,x2953),f33(x2952,x2953))
% 7.28/7.44 [296]~E(x2961,x2962)+E(f33(x2963,x2961),f33(x2963,x2962))
% 7.28/7.44 [297]~E(x2971,x2972)+E(f342(x2971,x2973),f342(x2972,x2973))
% 7.28/7.44 [298]~E(x2981,x2982)+E(f342(x2983,x2981),f342(x2983,x2982))
% 7.28/7.44 [299]~E(x2991,x2992)+E(f181(x2991,x2993),f181(x2992,x2993))
% 7.28/7.44 [300]~E(x3001,x3002)+E(f181(x3003,x3001),f181(x3003,x3002))
% 7.28/7.44 [301]~E(x3011,x3012)+E(f354(x3011,x3013),f354(x3012,x3013))
% 7.28/7.44 [302]~E(x3021,x3022)+E(f354(x3023,x3021),f354(x3023,x3022))
% 7.28/7.44 [303]~E(x3031,x3032)+E(f42(x3031,x3033),f42(x3032,x3033))
% 7.28/7.44 [304]~E(x3041,x3042)+E(f42(x3043,x3041),f42(x3043,x3042))
% 7.28/7.44 [305]~E(x3051,x3052)+E(f115(x3051,x3053,x3054),f115(x3052,x3053,x3054))
% 7.28/7.44 [306]~E(x3061,x3062)+E(f115(x3063,x3061,x3064),f115(x3063,x3062,x3064))
% 7.28/7.44 [307]~E(x3071,x3072)+E(f115(x3073,x3074,x3071),f115(x3073,x3074,x3072))
% 7.28/7.44 [308]~E(x3081,x3082)+E(f352(x3081,x3083),f352(x3082,x3083))
% 7.28/7.44 [309]~E(x3091,x3092)+E(f352(x3093,x3091),f352(x3093,x3092))
% 7.28/7.44 [310]~E(x3101,x3102)+E(f282(x3101,x3103),f282(x3102,x3103))
% 7.28/7.44 [311]~E(x3111,x3112)+E(f282(x3113,x3111),f282(x3113,x3112))
% 7.28/7.44 [312]~E(x3121,x3122)+E(f194(x3121,x3123),f194(x3122,x3123))
% 7.28/7.44 [313]~E(x3131,x3132)+E(f194(x3133,x3131),f194(x3133,x3132))
% 7.28/7.44 [314]~E(x3141,x3142)+E(f125(x3141,x3143,x3144),f125(x3142,x3143,x3144))
% 7.28/7.44 [315]~E(x3151,x3152)+E(f125(x3153,x3151,x3154),f125(x3153,x3152,x3154))
% 7.28/7.44 [316]~E(x3161,x3162)+E(f125(x3163,x3164,x3161),f125(x3163,x3164,x3162))
% 7.28/7.44 [317]~E(x3171,x3172)+E(f52(x3171,x3173),f52(x3172,x3173))
% 7.28/7.44 [318]~E(x3181,x3182)+E(f52(x3183,x3181),f52(x3183,x3182))
% 7.28/7.44 [319]~E(x3191,x3192)+E(f311(x3191,x3193),f311(x3192,x3193))
% 7.28/7.44 [320]~E(x3201,x3202)+E(f311(x3203,x3201),f311(x3203,x3202))
% 7.28/7.44 [321]~E(x3211,x3212)+E(f289(x3211,x3213),f289(x3212,x3213))
% 7.28/7.44 [322]~E(x3221,x3222)+E(f289(x3223,x3221),f289(x3223,x3222))
% 7.28/7.44 [323]~E(x3231,x3232)+E(f208(x3231,x3233,x3234),f208(x3232,x3233,x3234))
% 7.28/7.44 [324]~E(x3241,x3242)+E(f208(x3243,x3241,x3244),f208(x3243,x3242,x3244))
% 7.28/7.44 [325]~E(x3251,x3252)+E(f208(x3253,x3254,x3251),f208(x3253,x3254,x3252))
% 7.28/7.44 [326]~E(x3261,x3262)+E(f24(x3261,x3263),f24(x3262,x3263))
% 7.28/7.44 [327]~E(x3271,x3272)+E(f24(x3273,x3271),f24(x3273,x3272))
% 7.28/7.44 [328]~E(x3281,x3282)+E(f359(x3281,x3283),f359(x3282,x3283))
% 7.28/7.44 [329]~E(x3291,x3292)+E(f359(x3293,x3291),f359(x3293,x3292))
% 7.28/7.44 [330]~E(x3301,x3302)+E(f202(x3301,x3303,x3304),f202(x3302,x3303,x3304))
% 7.28/7.44 [331]~E(x3311,x3312)+E(f202(x3313,x3311,x3314),f202(x3313,x3312,x3314))
% 7.28/7.44 [332]~E(x3321,x3322)+E(f202(x3323,x3324,x3321),f202(x3323,x3324,x3322))
% 7.28/7.44 [333]~E(x3331,x3332)+E(f116(x3331,x3333,x3334),f116(x3332,x3333,x3334))
% 7.28/7.44 [334]~E(x3341,x3342)+E(f116(x3343,x3341,x3344),f116(x3343,x3342,x3344))
% 7.28/7.44 [335]~E(x3351,x3352)+E(f116(x3353,x3354,x3351),f116(x3353,x3354,x3352))
% 7.28/7.44 [336]~E(x3361,x3362)+E(f25(x3361,x3363),f25(x3362,x3363))
% 7.28/7.44 [337]~E(x3371,x3372)+E(f25(x3373,x3371),f25(x3373,x3372))
% 7.28/7.44 [338]~E(x3381,x3382)+E(f114(x3381,x3383,x3384),f114(x3382,x3383,x3384))
% 7.28/7.44 [339]~E(x3391,x3392)+E(f114(x3393,x3391,x3394),f114(x3393,x3392,x3394))
% 7.28/7.44 [340]~E(x3401,x3402)+E(f114(x3403,x3404,x3401),f114(x3403,x3404,x3402))
% 7.28/7.44 [341]~E(x3411,x3412)+E(f28(x3411,x3413),f28(x3412,x3413))
% 7.28/7.44 [342]~E(x3421,x3422)+E(f28(x3423,x3421),f28(x3423,x3422))
% 7.28/7.44 [343]~E(x3431,x3432)+E(f148(x3431,x3433),f148(x3432,x3433))
% 7.28/7.44 [344]~E(x3441,x3442)+E(f148(x3443,x3441),f148(x3443,x3442))
% 7.28/7.44 [345]~E(x3451,x3452)+E(f26(x3451,x3453),f26(x3452,x3453))
% 7.28/7.44 [346]~E(x3461,x3462)+E(f26(x3463,x3461),f26(x3463,x3462))
% 7.28/7.44 [347]~E(x3471,x3472)+E(f93(x3471,x3473),f93(x3472,x3473))
% 7.28/7.44 [348]~E(x3481,x3482)+E(f93(x3483,x3481),f93(x3483,x3482))
% 7.28/7.44 [349]~E(x3491,x3492)+E(f117(x3491,x3493,x3494),f117(x3492,x3493,x3494))
% 7.28/7.44 [350]~E(x3501,x3502)+E(f117(x3503,x3501,x3504),f117(x3503,x3502,x3504))
% 7.28/7.44 [351]~E(x3511,x3512)+E(f117(x3513,x3514,x3511),f117(x3513,x3514,x3512))
% 7.28/7.44 [352]~E(x3521,x3522)+E(f87(x3521),f87(x3522))
% 7.28/7.44 [353]~E(x3531,x3532)+E(f34(x3531,x3533),f34(x3532,x3533))
% 7.28/7.44 [354]~E(x3541,x3542)+E(f34(x3543,x3541),f34(x3543,x3542))
% 7.28/7.44 [355]~E(x3551,x3552)+E(f216(x3551,x3553,x3554),f216(x3552,x3553,x3554))
% 7.28/7.44 [356]~E(x3561,x3562)+E(f216(x3563,x3561,x3564),f216(x3563,x3562,x3564))
% 7.28/7.44 [357]~E(x3571,x3572)+E(f216(x3573,x3574,x3571),f216(x3573,x3574,x3572))
% 7.28/7.44 [358]~E(x3581,x3582)+E(f158(x3581,x3583,x3584),f158(x3582,x3583,x3584))
% 7.28/7.44 [359]~E(x3591,x3592)+E(f158(x3593,x3591,x3594),f158(x3593,x3592,x3594))
% 7.28/7.44 [360]~E(x3601,x3602)+E(f158(x3603,x3604,x3601),f158(x3603,x3604,x3602))
% 7.28/7.44 [361]~E(x3611,x3612)+E(f135(x3611,x3613),f135(x3612,x3613))
% 7.28/7.44 [362]~E(x3621,x3622)+E(f135(x3623,x3621),f135(x3623,x3622))
% 7.28/7.44 [363]~E(x3631,x3632)+E(f38(x3631,x3633),f38(x3632,x3633))
% 7.28/7.44 [364]~E(x3641,x3642)+E(f38(x3643,x3641),f38(x3643,x3642))
% 7.28/7.44 [365]~E(x3651,x3652)+E(f137(x3651,x3653),f137(x3652,x3653))
% 7.28/7.44 [366]~E(x3661,x3662)+E(f137(x3663,x3661),f137(x3663,x3662))
% 7.28/7.44 [367]~E(x3671,x3672)+E(f27(x3671,x3673),f27(x3672,x3673))
% 7.28/7.44 [368]~E(x3681,x3682)+E(f27(x3683,x3681),f27(x3683,x3682))
% 7.28/7.44 [369]~E(x3691,x3692)+E(f297(x3691,x3693),f297(x3692,x3693))
% 7.28/7.44 [370]~E(x3701,x3702)+E(f297(x3703,x3701),f297(x3703,x3702))
% 7.28/7.44 [371]~E(x3711,x3712)+E(f287(x3711,x3713),f287(x3712,x3713))
% 7.28/7.44 [372]~E(x3721,x3722)+E(f287(x3723,x3721),f287(x3723,x3722))
% 7.28/7.44 [373]~E(x3731,x3732)+E(f83(x3731),f83(x3732))
% 7.28/7.44 [374]~E(x3741,x3742)+E(f133(x3741,x3743),f133(x3742,x3743))
% 7.28/7.44 [375]~E(x3751,x3752)+E(f133(x3753,x3751),f133(x3753,x3752))
% 7.28/7.44 [376]~E(x3761,x3762)+E(f314(x3761,x3763),f314(x3762,x3763))
% 7.28/7.44 [377]~E(x3771,x3772)+E(f314(x3773,x3771),f314(x3773,x3772))
% 7.28/7.44 [378]~E(x3781,x3782)+E(f39(x3781,x3783),f39(x3782,x3783))
% 7.28/7.44 [379]~E(x3791,x3792)+E(f39(x3793,x3791),f39(x3793,x3792))
% 7.28/7.44 [380]~E(x3801,x3802)+E(f193(x3801,x3803),f193(x3802,x3803))
% 7.28/7.44 [381]~E(x3811,x3812)+E(f193(x3813,x3811),f193(x3813,x3812))
% 7.28/7.44 [382]~E(x3821,x3822)+E(f46(x3821,x3823),f46(x3822,x3823))
% 7.28/7.44 [383]~E(x3831,x3832)+E(f46(x3833,x3831),f46(x3833,x3832))
% 7.28/7.44 [384]~E(x3841,x3842)+E(f157(x3841,x3843,x3844),f157(x3842,x3843,x3844))
% 7.28/7.44 [385]~E(x3851,x3852)+E(f157(x3853,x3851,x3854),f157(x3853,x3852,x3854))
% 7.28/7.44 [386]~E(x3861,x3862)+E(f157(x3863,x3864,x3861),f157(x3863,x3864,x3862))
% 7.28/7.44 [387]~E(x3871,x3872)+E(f291(x3871,x3873),f291(x3872,x3873))
% 7.28/7.44 [388]~E(x3881,x3882)+E(f291(x3883,x3881),f291(x3883,x3882))
% 7.28/7.44 [389]~E(x3891,x3892)+E(f141(x3891,x3893,x3894),f141(x3892,x3893,x3894))
% 7.28/7.44 [390]~E(x3901,x3902)+E(f141(x3903,x3901,x3904),f141(x3903,x3902,x3904))
% 7.28/7.44 [391]~E(x3911,x3912)+E(f141(x3913,x3914,x3911),f141(x3913,x3914,x3912))
% 7.28/7.44 [392]~E(x3921,x3922)+E(f356(x3921,x3923),f356(x3922,x3923))
% 7.28/7.44 [393]~E(x3931,x3932)+E(f356(x3933,x3931),f356(x3933,x3932))
% 7.28/7.44 [394]~E(x3941,x3942)+E(f48(x3941,x3943),f48(x3942,x3943))
% 7.28/7.44 [395]~E(x3951,x3952)+E(f48(x3953,x3951),f48(x3953,x3952))
% 7.28/7.44 [396]~E(x3961,x3962)+E(f40(x3961,x3963),f40(x3962,x3963))
% 7.28/7.44 [397]~E(x3971,x3972)+E(f40(x3973,x3971),f40(x3973,x3972))
% 7.28/7.44 [398]~E(x3981,x3982)+E(f41(x3981,x3983),f41(x3982,x3983))
% 7.28/7.44 [399]~E(x3991,x3992)+E(f41(x3993,x3991),f41(x3993,x3992))
% 7.28/7.44 [400]~E(x4001,x4002)+E(f70(x4001),f70(x4002))
% 7.28/7.44 [401]~E(x4011,x4012)+E(f146(x4011,x4013),f146(x4012,x4013))
% 7.28/7.44 [402]~E(x4021,x4022)+E(f146(x4023,x4021),f146(x4023,x4022))
% 7.28/7.44 [403]~E(x4031,x4032)+E(f179(x4031,x4033),f179(x4032,x4033))
% 7.28/7.44 [404]~E(x4041,x4042)+E(f179(x4043,x4041),f179(x4043,x4042))
% 7.28/7.44 [405]~E(x4051,x4052)+E(f142(x4051,x4053,x4054),f142(x4052,x4053,x4054))
% 7.28/7.44 [406]~E(x4061,x4062)+E(f142(x4063,x4061,x4064),f142(x4063,x4062,x4064))
% 7.28/7.44 [407]~E(x4071,x4072)+E(f142(x4073,x4074,x4071),f142(x4073,x4074,x4072))
% 7.28/7.44 [408]~E(x4081,x4082)+E(f225(x4081),f225(x4082))
% 7.28/7.44 [409]~E(x4091,x4092)+E(f138(x4091,x4093),f138(x4092,x4093))
% 7.28/7.44 [410]~E(x4101,x4102)+E(f138(x4103,x4101),f138(x4103,x4102))
% 7.28/7.44 [411]~E(x4111,x4112)+E(f360(x4111,x4113),f360(x4112,x4113))
% 7.28/7.44 [412]~E(x4121,x4122)+E(f360(x4123,x4121),f360(x4123,x4122))
% 7.28/7.44 [413]~E(x4131,x4132)+E(f290(x4131,x4133),f290(x4132,x4133))
% 7.28/7.44 [414]~E(x4141,x4142)+E(f290(x4143,x4141),f290(x4143,x4142))
% 7.28/7.44 [415]~E(x4151,x4152)+E(f174(x4151,x4153),f174(x4152,x4153))
% 7.28/7.44 [416]~E(x4161,x4162)+E(f174(x4163,x4161),f174(x4163,x4162))
% 7.28/7.44 [417]~E(x4171,x4172)+E(f368(x4171,x4173),f368(x4172,x4173))
% 7.28/7.44 [418]~E(x4181,x4182)+E(f368(x4183,x4181),f368(x4183,x4182))
% 7.28/7.44 [419]~E(x4191,x4192)+E(f306(x4191,x4193),f306(x4192,x4193))
% 7.28/7.44 [420]~E(x4201,x4202)+E(f306(x4203,x4201),f306(x4203,x4202))
% 7.28/7.44 [421]~E(x4211,x4212)+E(f319(x4211,x4213),f319(x4212,x4213))
% 7.28/7.44 [422]~E(x4221,x4222)+E(f319(x4223,x4221),f319(x4223,x4222))
% 7.28/7.44 [423]~E(x4231,x4232)+E(f112(x4231,x4233),f112(x4232,x4233))
% 7.28/7.44 [424]~E(x4241,x4242)+E(f112(x4243,x4241),f112(x4243,x4242))
% 7.28/7.44 [425]~E(x4251,x4252)+E(f45(x4251,x4253),f45(x4252,x4253))
% 7.28/7.44 [426]~E(x4261,x4262)+E(f45(x4263,x4261),f45(x4263,x4262))
% 7.28/7.44 [427]~E(x4271,x4272)+E(f164(x4271,x4273,x4274),f164(x4272,x4273,x4274))
% 7.28/7.44 [428]~E(x4281,x4282)+E(f164(x4283,x4281,x4284),f164(x4283,x4282,x4284))
% 7.28/7.44 [429]~E(x4291,x4292)+E(f164(x4293,x4294,x4291),f164(x4293,x4294,x4292))
% 7.28/7.44 [430]~E(x4301,x4302)+E(f222(x4301,x4303),f222(x4302,x4303))
% 7.28/7.44 [431]~E(x4311,x4312)+E(f222(x4313,x4311),f222(x4313,x4312))
% 7.28/7.44 [432]~E(x4321,x4322)+E(f206(x4321,x4323,x4324),f206(x4322,x4323,x4324))
% 7.28/7.44 [433]~E(x4331,x4332)+E(f206(x4333,x4331,x4334),f206(x4333,x4332,x4334))
% 7.28/7.44 [434]~E(x4341,x4342)+E(f206(x4343,x4344,x4341),f206(x4343,x4344,x4342))
% 7.28/7.44 [435]~E(x4351,x4352)+E(f122(x4351,x4353,x4354),f122(x4352,x4353,x4354))
% 7.28/7.44 [436]~E(x4361,x4362)+E(f122(x4363,x4361,x4364),f122(x4363,x4362,x4364))
% 7.28/7.44 [437]~E(x4371,x4372)+E(f122(x4373,x4374,x4371),f122(x4373,x4374,x4372))
% 7.28/7.44 [438]~E(x4381,x4382)+E(f232(x4381),f232(x4382))
% 7.28/7.44 [439]~E(x4391,x4392)+E(f190(x4391,x4393),f190(x4392,x4393))
% 7.28/7.44 [440]~E(x4401,x4402)+E(f190(x4403,x4401),f190(x4403,x4402))
% 7.28/7.44 [441]~E(x4411,x4412)+E(f51(x4411,x4413),f51(x4412,x4413))
% 7.28/7.44 [442]~E(x4421,x4422)+E(f51(x4423,x4421),f51(x4423,x4422))
% 7.28/7.44 [443]~E(x4431,x4432)+E(f341(x4431,x4433),f341(x4432,x4433))
% 7.28/7.44 [444]~E(x4441,x4442)+E(f341(x4443,x4441),f341(x4443,x4442))
% 7.28/7.44 [445]~E(x4451,x4452)+E(f215(x4451,x4453,x4454),f215(x4452,x4453,x4454))
% 7.28/7.44 [446]~E(x4461,x4462)+E(f215(x4463,x4461,x4464),f215(x4463,x4462,x4464))
% 7.28/7.44 [447]~E(x4471,x4472)+E(f215(x4473,x4474,x4471),f215(x4473,x4474,x4472))
% 7.28/7.44 [448]~E(x4481,x4482)+E(f200(x4481,x4483,x4484),f200(x4482,x4483,x4484))
% 7.28/7.44 [449]~E(x4491,x4492)+E(f200(x4493,x4491,x4494),f200(x4493,x4492,x4494))
% 7.28/7.44 [450]~E(x4501,x4502)+E(f200(x4503,x4504,x4501),f200(x4503,x4504,x4502))
% 7.28/7.44 [451]~E(x4511,x4512)+E(f30(x4511,x4513),f30(x4512,x4513))
% 7.28/7.44 [452]~E(x4521,x4522)+E(f30(x4523,x4521),f30(x4523,x4522))
% 7.28/7.44 [453]~E(x4531,x4532)+E(f223(x4531),f223(x4532))
% 7.28/7.44 [454]~E(x4541,x4542)+E(f105(x4541),f105(x4542))
% 7.28/7.44 [455]~E(x4551,x4552)+E(f150(x4551,x4553,x4554),f150(x4552,x4553,x4554))
% 7.28/7.44 [456]~E(x4561,x4562)+E(f150(x4563,x4561,x4564),f150(x4563,x4562,x4564))
% 7.28/7.44 [457]~E(x4571,x4572)+E(f150(x4573,x4574,x4571),f150(x4573,x4574,x4572))
% 7.28/7.44 [458]~E(x4581,x4582)+E(f32(x4581,x4583),f32(x4582,x4583))
% 7.28/7.44 [459]~E(x4591,x4592)+E(f32(x4593,x4591),f32(x4593,x4592))
% 7.28/7.44 [460]~E(x4601,x4602)+E(f288(x4601,x4603),f288(x4602,x4603))
% 7.28/7.44 [461]~E(x4611,x4612)+E(f288(x4613,x4611),f288(x4613,x4612))
% 7.28/7.44 [462]~E(x4621,x4622)+E(f108(x4621),f108(x4622))
% 7.28/7.44 [463]~E(x4631,x4632)+E(f308(x4631,x4633),f308(x4632,x4633))
% 7.28/7.44 [464]~E(x4641,x4642)+E(f308(x4643,x4641),f308(x4643,x4642))
% 7.28/7.44 [465]~E(x4651,x4652)+E(f31(x4651,x4653),f31(x4652,x4653))
% 7.28/7.44 [466]~E(x4661,x4662)+E(f31(x4663,x4661),f31(x4663,x4662))
% 7.28/7.44 [467]~E(x4671,x4672)+E(f307(x4671,x4673),f307(x4672,x4673))
% 7.28/7.44 [468]~E(x4681,x4682)+E(f307(x4683,x4681),f307(x4683,x4682))
% 7.28/7.44 [469]~E(x4691,x4692)+E(f124(x4691,x4693,x4694),f124(x4692,x4693,x4694))
% 7.28/7.44 [470]~E(x4701,x4702)+E(f124(x4703,x4701,x4704),f124(x4703,x4702,x4704))
% 7.28/7.44 [471]~E(x4711,x4712)+E(f124(x4713,x4714,x4711),f124(x4713,x4714,x4712))
% 7.28/7.44 [472]~E(x4721,x4722)+E(f128(x4721,x4723),f128(x4722,x4723))
% 7.28/7.44 [473]~E(x4731,x4732)+E(f128(x4733,x4731),f128(x4733,x4732))
% 7.28/7.44 [474]~E(x4741,x4742)+E(f103(x4741),f103(x4742))
% 7.28/7.44 [475]~E(x4751,x4752)+E(f283(x4751,x4753),f283(x4752,x4753))
% 7.28/7.44 [476]~E(x4761,x4762)+E(f283(x4763,x4761),f283(x4763,x4762))
% 7.28/7.44 [477]~E(x4771,x4772)+E(f76(x4771),f76(x4772))
% 7.28/7.44 [478]~E(x4781,x4782)+E(f159(x4781,x4783,x4784),f159(x4782,x4783,x4784))
% 7.28/7.44 [479]~E(x4791,x4792)+E(f159(x4793,x4791,x4794),f159(x4793,x4792,x4794))
% 7.28/7.44 [480]~E(x4801,x4802)+E(f159(x4803,x4804,x4801),f159(x4803,x4804,x4802))
% 7.28/7.44 [481]~E(x4811,x4812)+E(f230(x4811),f230(x4812))
% 7.28/7.44 [482]~E(x4821,x4822)+E(f325(x4821,x4823),f325(x4822,x4823))
% 7.28/7.44 [483]~E(x4831,x4832)+E(f325(x4833,x4831),f325(x4833,x4832))
% 7.28/7.44 [484]~E(x4841,x4842)+E(f224(x4841),f224(x4842))
% 7.28/7.44 [485]~E(x4851,x4852)+E(f140(x4851,x4853,x4854),f140(x4852,x4853,x4854))
% 7.28/7.44 [486]~E(x4861,x4862)+E(f140(x4863,x4861,x4864),f140(x4863,x4862,x4864))
% 7.28/7.44 [487]~E(x4871,x4872)+E(f140(x4873,x4874,x4871),f140(x4873,x4874,x4872))
% 7.28/7.44 [488]~E(x4881,x4882)+E(f192(x4881,x4883),f192(x4882,x4883))
% 7.28/7.44 [489]~E(x4891,x4892)+E(f192(x4893,x4891),f192(x4893,x4892))
% 7.28/7.44 [490]~E(x4901,x4902)+E(f344(x4901,x4903),f344(x4902,x4903))
% 7.28/7.44 [491]~E(x4911,x4912)+E(f344(x4913,x4911),f344(x4913,x4912))
% 7.28/7.44 [492]~E(x4921,x4922)+E(f180(x4921,x4923),f180(x4922,x4923))
% 7.28/7.44 [493]~E(x4931,x4932)+E(f180(x4933,x4931),f180(x4933,x4932))
% 7.28/7.44 [494]~E(x4941,x4942)+E(f217(x4941,x4943,x4944),f217(x4942,x4943,x4944))
% 7.28/7.44 [495]~E(x4951,x4952)+E(f217(x4953,x4951,x4954),f217(x4953,x4952,x4954))
% 7.28/7.44 [496]~E(x4961,x4962)+E(f217(x4963,x4964,x4961),f217(x4963,x4964,x4962))
% 7.28/7.44 [497]~E(x4971,x4972)+E(f50(x4971,x4973),f50(x4972,x4973))
% 7.28/7.44 [498]~E(x4981,x4982)+E(f50(x4983,x4981),f50(x4983,x4982))
% 7.28/7.44 [499]~E(x4991,x4992)+E(f279(x4991,x4993),f279(x4992,x4993))
% 7.28/7.44 [500]~E(x5001,x5002)+E(f279(x5003,x5001),f279(x5003,x5002))
% 7.28/7.44 [501]~E(x5011,x5012)+E(f143(x5011,x5013),f143(x5012,x5013))
% 7.28/7.44 [502]~E(x5021,x5022)+E(f143(x5023,x5021),f143(x5023,x5022))
% 7.28/7.44 [503]~E(x5031,x5032)+E(f153(x5031,x5033,x5034),f153(x5032,x5033,x5034))
% 7.28/7.44 [504]~E(x5041,x5042)+E(f153(x5043,x5041,x5044),f153(x5043,x5042,x5044))
% 7.28/7.44 [505]~E(x5051,x5052)+E(f153(x5053,x5054,x5051),f153(x5053,x5054,x5052))
% 7.28/7.44 [506]~E(x5061,x5062)+E(f152(x5061,x5063,x5064),f152(x5062,x5063,x5064))
% 7.28/7.44 [507]~E(x5071,x5072)+E(f152(x5073,x5071,x5074),f152(x5073,x5072,x5074))
% 7.28/7.44 [508]~E(x5081,x5082)+E(f152(x5083,x5084,x5081),f152(x5083,x5084,x5082))
% 7.28/7.44 [509]~E(x5091,x5092)+E(f302(x5091,x5093),f302(x5092,x5093))
% 7.28/7.44 [510]~E(x5101,x5102)+E(f302(x5103,x5101),f302(x5103,x5102))
% 7.28/7.44 [511]~E(x5111,x5112)+E(f119(x5111,x5113,x5114),f119(x5112,x5113,x5114))
% 7.28/7.44 [512]~E(x5121,x5122)+E(f119(x5123,x5121,x5124),f119(x5123,x5122,x5124))
% 7.28/7.44 [513]~E(x5131,x5132)+E(f119(x5133,x5134,x5131),f119(x5133,x5134,x5132))
% 7.28/7.44 [514]~E(x5141,x5142)+E(f209(x5141,x5143),f209(x5142,x5143))
% 7.28/7.44 [515]~E(x5151,x5152)+E(f209(x5153,x5151),f209(x5153,x5152))
% 7.28/7.44 [516]~E(x5161,x5162)+E(f147(x5161,x5163),f147(x5162,x5163))
% 7.28/7.44 [517]~E(x5171,x5172)+E(f147(x5173,x5171),f147(x5173,x5172))
% 7.28/7.44 [518]~E(x5181,x5182)+E(f298(x5181,x5183),f298(x5182,x5183))
% 7.28/7.44 [519]~E(x5191,x5192)+E(f298(x5193,x5191),f298(x5193,x5192))
% 7.28/7.44 [520]~E(x5201,x5202)+E(f187(x5201,x5203),f187(x5202,x5203))
% 7.28/7.44 [521]~E(x5211,x5212)+E(f187(x5213,x5211),f187(x5213,x5212))
% 7.28/7.44 [522]~E(x5221,x5222)+E(f132(x5221,x5223),f132(x5222,x5223))
% 7.28/7.44 [523]~E(x5231,x5232)+E(f132(x5233,x5231),f132(x5233,x5232))
% 7.28/7.44 [524]~E(x5241,x5242)+E(f160(x5241,x5243,x5244),f160(x5242,x5243,x5244))
% 7.28/7.44 [525]~E(x5251,x5252)+E(f160(x5253,x5251,x5254),f160(x5253,x5252,x5254))
% 7.28/7.44 [526]~E(x5261,x5262)+E(f160(x5263,x5264,x5261),f160(x5263,x5264,x5262))
% 7.28/7.44 [527]~E(x5271,x5272)+E(f292(x5271,x5273),f292(x5272,x5273))
% 7.28/7.44 [528]~E(x5281,x5282)+E(f292(x5283,x5281),f292(x5283,x5282))
% 7.28/7.44 [529]~E(x5291,x5292)+E(f219(x5291,x5293,x5294),f219(x5292,x5293,x5294))
% 7.28/7.44 [530]~E(x5301,x5302)+E(f219(x5303,x5301,x5304),f219(x5303,x5302,x5304))
% 7.28/7.44 [531]~E(x5311,x5312)+E(f219(x5313,x5314,x5311),f219(x5313,x5314,x5312))
% 7.28/7.44 [532]~E(x5321,x5322)+E(f65(x5321),f65(x5322))
% 7.28/7.44 [533]~E(x5331,x5332)+E(f167(x5331,x5333,x5334),f167(x5332,x5333,x5334))
% 7.28/7.44 [534]~E(x5341,x5342)+E(f167(x5343,x5341,x5344),f167(x5343,x5342,x5344))
% 7.28/7.44 [535]~E(x5351,x5352)+E(f167(x5353,x5354,x5351),f167(x5353,x5354,x5352))
% 7.28/7.44 [536]~E(x5361,x5362)+E(f84(x5361),f84(x5362))
% 7.28/7.44 [537]~E(x5371,x5372)+E(f149(x5371,x5373),f149(x5372,x5373))
% 7.28/7.44 [538]~E(x5381,x5382)+E(f149(x5383,x5381),f149(x5383,x5382))
% 7.28/7.44 [539]~E(x5391,x5392)+E(f73(x5391),f73(x5392))
% 7.28/7.44 [540]~E(x5401,x5402)+E(f185(x5401,x5403),f185(x5402,x5403))
% 7.28/7.44 [541]~E(x5411,x5412)+E(f185(x5413,x5411),f185(x5413,x5412))
% 7.28/7.44 [542]~E(x5421,x5422)+E(f120(x5421,x5423,x5424),f120(x5422,x5423,x5424))
% 7.28/7.44 [543]~E(x5431,x5432)+E(f120(x5433,x5431,x5434),f120(x5433,x5432,x5434))
% 7.28/7.44 [544]~E(x5441,x5442)+E(f120(x5443,x5444,x5441),f120(x5443,x5444,x5442))
% 7.28/7.44 [545]~E(x5451,x5452)+E(f228(x5451),f228(x5452))
% 7.28/7.44 [546]~E(x5461,x5462)+E(f172(x5461,x5463),f172(x5462,x5463))
% 7.28/7.44 [547]~E(x5471,x5472)+E(f172(x5473,x5471),f172(x5473,x5472))
% 7.28/7.44 [548]~E(x5481,x5482)+E(f188(x5481,x5483,x5484),f188(x5482,x5483,x5484))
% 7.28/7.44 [549]~E(x5491,x5492)+E(f188(x5493,x5491,x5494),f188(x5493,x5492,x5494))
% 7.28/7.44 [550]~E(x5501,x5502)+E(f188(x5503,x5504,x5501),f188(x5503,x5504,x5502))
% 7.28/7.44 [551]~E(x5511,x5512)+E(f381(x5511,x5513),f381(x5512,x5513))
% 7.28/7.44 [552]~E(x5521,x5522)+E(f381(x5523,x5521),f381(x5523,x5522))
% 7.28/7.44 [553]~E(x5531,x5532)+E(f201(x5531,x5533,x5534),f201(x5532,x5533,x5534))
% 7.28/7.44 [554]~E(x5541,x5542)+E(f201(x5543,x5541,x5544),f201(x5543,x5542,x5544))
% 7.28/7.44 [555]~E(x5551,x5552)+E(f201(x5553,x5554,x5551),f201(x5553,x5554,x5552))
% 7.28/7.44 [556]~E(x5561,x5562)+E(f79(x5561),f79(x5562))
% 7.28/7.44 [557]~E(x5571,x5572)+E(f111(x5571,x5573),f111(x5572,x5573))
% 7.28/7.44 [558]~E(x5581,x5582)+E(f111(x5583,x5581),f111(x5583,x5582))
% 7.28/7.44 [559]~E(x5591,x5592)+E(f109(x5591,x5593),f109(x5592,x5593))
% 7.28/7.44 [560]~E(x5601,x5602)+E(f109(x5603,x5601),f109(x5603,x5602))
% 7.28/7.44 [561]~E(x5611,x5612)+E(f127(x5611,x5613),f127(x5612,x5613))
% 7.28/7.44 [562]~E(x5621,x5622)+E(f127(x5623,x5621),f127(x5623,x5622))
% 7.28/7.44 [563]~E(x5631,x5632)+E(f191(x5631,x5633),f191(x5632,x5633))
% 7.28/7.44 [564]~E(x5641,x5642)+E(f191(x5643,x5641),f191(x5643,x5642))
% 7.28/7.44 [565]~E(x5651,x5652)+E(f80(x5651),f80(x5652))
% 7.28/7.44 [566]~E(x5661,x5662)+E(f75(x5661),f75(x5662))
% 7.28/7.44 [567]~E(x5671,x5672)+E(f102(x5671),f102(x5672))
% 7.28/7.44 [568]~E(x5681,x5682)+E(f221(x5681,x5683),f221(x5682,x5683))
% 7.28/7.44 [569]~E(x5691,x5692)+E(f221(x5693,x5691),f221(x5693,x5692))
% 7.28/7.44 [570]~E(x5701,x5702)+E(f175(x5701,x5703),f175(x5702,x5703))
% 7.28/7.44 [571]~E(x5711,x5712)+E(f175(x5713,x5711),f175(x5713,x5712))
% 7.28/7.44 [572]~E(x5721,x5722)+E(f170(x5721,x5723,x5724),f170(x5722,x5723,x5724))
% 7.28/7.44 [573]~E(x5731,x5732)+E(f170(x5733,x5731,x5734),f170(x5733,x5732,x5734))
% 7.28/7.44 [574]~E(x5741,x5742)+E(f170(x5743,x5744,x5741),f170(x5743,x5744,x5742))
% 7.28/7.44 [575]~E(x5751,x5752)+E(f131(x5751,x5753),f131(x5752,x5753))
% 7.28/7.44 [576]~E(x5761,x5762)+E(f131(x5763,x5761),f131(x5763,x5762))
% 7.28/7.44 [577]~E(x5771,x5772)+E(f129(x5771,x5773),f129(x5772,x5773))
% 7.28/7.44 [578]~E(x5781,x5782)+E(f129(x5783,x5781),f129(x5783,x5782))
% 7.28/7.44 [579]~E(x5791,x5792)+E(f196(x5791,x5793,x5794),f196(x5792,x5793,x5794))
% 7.28/7.44 [580]~E(x5801,x5802)+E(f196(x5803,x5801,x5804),f196(x5803,x5802,x5804))
% 7.28/7.44 [581]~E(x5811,x5812)+E(f196(x5813,x5814,x5811),f196(x5813,x5814,x5812))
% 7.28/7.44 [582]~E(x5821,x5822)+E(f144(x5821,x5823,x5824),f144(x5822,x5823,x5824))
% 7.28/7.44 [583]~E(x5831,x5832)+E(f144(x5833,x5831,x5834),f144(x5833,x5832,x5834))
% 7.28/7.44 [584]~E(x5841,x5842)+E(f144(x5843,x5844,x5841),f144(x5843,x5844,x5842))
% 7.28/7.44 [585]~E(x5851,x5852)+E(f60(x5851),f60(x5852))
% 7.28/7.44 [586]~E(x5861,x5862)+E(f98(x5861),f98(x5862))
% 7.28/7.44 [587]~E(x5871,x5872)+E(f155(x5871,x5873,x5874),f155(x5872,x5873,x5874))
% 7.28/7.44 [588]~E(x5881,x5882)+E(f155(x5883,x5881,x5884),f155(x5883,x5882,x5884))
% 7.28/7.44 [589]~E(x5891,x5892)+E(f155(x5893,x5894,x5891),f155(x5893,x5894,x5892))
% 7.28/7.44 [590]~E(x5901,x5902)+E(f176(x5901,x5903),f176(x5902,x5903))
% 7.28/7.44 [591]~E(x5911,x5912)+E(f176(x5913,x5911),f176(x5913,x5912))
% 7.28/7.44 [592]~E(x5921,x5922)+E(f57(x5921),f57(x5922))
% 7.28/7.44 [593]~E(x5931,x5932)+E(f205(x5931,x5933,x5934),f205(x5932,x5933,x5934))
% 7.28/7.44 [594]~E(x5941,x5942)+E(f205(x5943,x5941,x5944),f205(x5943,x5942,x5944))
% 7.28/7.44 [595]~E(x5951,x5952)+E(f205(x5953,x5954,x5951),f205(x5953,x5954,x5952))
% 7.28/7.44 [596]~E(x5961,x5962)+E(f210(x5961,x5963),f210(x5962,x5963))
% 7.28/7.44 [597]~E(x5971,x5972)+E(f210(x5973,x5971),f210(x5973,x5972))
% 7.28/7.44 [598]~E(x5981,x5982)+E(f235(x5981,x5983,x5984),f235(x5982,x5983,x5984))
% 7.28/7.44 [599]~E(x5991,x5992)+E(f235(x5993,x5991,x5994),f235(x5993,x5992,x5994))
% 7.28/7.44 [600]~E(x6001,x6002)+E(f235(x6003,x6004,x6001),f235(x6003,x6004,x6002))
% 7.28/7.44 [601]~E(x6011,x6012)+E(f227(x6011,x6013,x6014),f227(x6012,x6013,x6014))
% 7.28/7.44 [602]~E(x6021,x6022)+E(f227(x6023,x6021,x6024),f227(x6023,x6022,x6024))
% 7.28/7.44 [603]~E(x6031,x6032)+E(f227(x6033,x6034,x6031),f227(x6033,x6034,x6032))
% 7.28/7.44 [604]~E(x6041,x6042)+E(f74(x6041),f74(x6042))
% 7.28/7.44 [605]~E(x6051,x6052)+E(f82(x6051),f82(x6052))
% 7.28/7.44 [606]~E(x6061,x6062)+E(f121(x6061,x6063,x6064),f121(x6062,x6063,x6064))
% 7.28/7.44 [607]~E(x6071,x6072)+E(f121(x6073,x6071,x6074),f121(x6073,x6072,x6074))
% 7.28/7.44 [608]~E(x6081,x6082)+E(f121(x6083,x6084,x6081),f121(x6083,x6084,x6082))
% 7.28/7.44 [609]~E(x6091,x6092)+E(f199(x6091,x6093,x6094),f199(x6092,x6093,x6094))
% 7.28/7.44 [610]~E(x6101,x6102)+E(f199(x6103,x6101,x6104),f199(x6103,x6102,x6104))
% 7.28/7.44 [611]~E(x6111,x6112)+E(f199(x6113,x6114,x6111),f199(x6113,x6114,x6112))
% 7.28/7.44 [612]~E(x6121,x6122)+E(f81(x6121),f81(x6122))
% 7.28/7.44 [613]~E(x6131,x6132)+E(f110(x6131,x6133),f110(x6132,x6133))
% 7.28/7.44 [614]~E(x6141,x6142)+E(f110(x6143,x6141),f110(x6143,x6142))
% 7.28/7.44 [615]~E(x6151,x6152)+E(f113(x6151,x6153),f113(x6152,x6153))
% 7.28/7.44 [616]~E(x6161,x6162)+E(f113(x6163,x6161),f113(x6163,x6162))
% 7.28/7.44 [617]~E(x6171,x6172)+E(f171(x6171,x6173,x6174),f171(x6172,x6173,x6174))
% 7.28/7.44 [618]~E(x6181,x6182)+E(f171(x6183,x6181,x6184),f171(x6183,x6182,x6184))
% 7.28/7.44 [619]~E(x6191,x6192)+E(f171(x6193,x6194,x6191),f171(x6193,x6194,x6192))
% 7.28/7.44 [620]~E(x6201,x6202)+E(f151(x6201,x6203,x6204),f151(x6202,x6203,x6204))
% 7.28/7.44 [621]~E(x6211,x6212)+E(f151(x6213,x6211,x6214),f151(x6213,x6212,x6214))
% 7.28/7.44 [622]~E(x6221,x6222)+E(f151(x6223,x6224,x6221),f151(x6223,x6224,x6222))
% 7.28/7.44 [623]~E(x6231,x6232)+E(f168(x6231,x6233,x6234),f168(x6232,x6233,x6234))
% 7.28/7.44 [624]~E(x6241,x6242)+E(f168(x6243,x6241,x6244),f168(x6243,x6242,x6244))
% 7.28/7.44 [625]~E(x6251,x6252)+E(f168(x6253,x6254,x6251),f168(x6253,x6254,x6252))
% 7.28/7.44 [626]~E(x6261,x6262)+E(f400(x6261),f400(x6262))
% 7.28/7.44 [627]~E(x6271,x6272)+E(f7(x6271),f7(x6272))
% 7.28/7.44 [628]~E(x6281,x6282)+E(f77(x6281),f77(x6282))
% 7.28/7.44 [629]~E(x6291,x6292)+E(f63(x6291),f63(x6292))
% 7.28/7.44 [630]~E(x6301,x6302)+E(f218(x6301,x6303,x6304),f218(x6302,x6303,x6304))
% 7.28/7.44 [631]~E(x6311,x6312)+E(f218(x6313,x6311,x6314),f218(x6313,x6312,x6314))
% 7.28/7.44 [632]~E(x6321,x6322)+E(f218(x6323,x6324,x6321),f218(x6323,x6324,x6322))
% 7.28/7.44 [633]~E(x6331,x6332)+E(f231(x6331),f231(x6332))
% 7.28/7.44 [634]~E(x6341,x6342)+E(f66(x6341),f66(x6342))
% 7.28/7.44 [635]~E(x6351,x6352)+E(f78(x6351),f78(x6352))
% 7.28/7.44 [636]~E(x6361,x6362)+E(f69(x6361),f69(x6362))
% 7.28/7.44 [637]~E(x6371,x6372)+E(f207(x6371,x6373,x6374),f207(x6372,x6373,x6374))
% 7.28/7.44 [638]~E(x6381,x6382)+E(f207(x6383,x6381,x6384),f207(x6383,x6382,x6384))
% 7.28/7.44 [639]~E(x6391,x6392)+E(f207(x6393,x6394,x6391),f207(x6393,x6394,x6392))
% 7.28/7.44 [640]~E(x6401,x6402)+E(f182(x6401,x6403),f182(x6402,x6403))
% 7.28/7.44 [641]~E(x6411,x6412)+E(f182(x6413,x6411),f182(x6413,x6412))
% 7.28/7.44 [642]~E(x6421,x6422)+E(f177(x6421,x6423),f177(x6422,x6423))
% 7.28/7.44 [643]~E(x6431,x6432)+E(f177(x6433,x6431),f177(x6433,x6432))
% 7.28/7.44 [644]~E(x6441,x6442)+E(f204(x6441,x6443,x6444),f204(x6442,x6443,x6444))
% 7.28/7.44 [645]~E(x6451,x6452)+E(f204(x6453,x6451,x6454),f204(x6453,x6452,x6454))
% 7.28/7.44 [646]~E(x6461,x6462)+E(f204(x6463,x6464,x6461),f204(x6463,x6464,x6462))
% 7.28/7.44 [647]~E(x6471,x6472)+E(f233(x6471),f233(x6472))
% 7.28/7.44 [648]~E(x6481,x6482)+E(f97(x6481),f97(x6482))
% 7.28/7.44 [649]~E(x6491,x6492)+E(f189(x6491,x6493),f189(x6492,x6493))
% 7.28/7.44 [650]~E(x6501,x6502)+E(f189(x6503,x6501),f189(x6503,x6502))
% 7.28/7.44 [651]~E(x6511,x6512)+E(f173(x6511,x6513),f173(x6512,x6513))
% 7.28/7.44 [652]~E(x6521,x6522)+E(f173(x6523,x6521),f173(x6523,x6522))
% 7.28/7.44 [653]~E(x6531,x6532)+E(f399(x6531),f399(x6532))
% 7.28/7.44 [654]~E(x6541,x6542)+E(f165(x6541,x6543,x6544),f165(x6542,x6543,x6544))
% 7.28/7.44 [655]~E(x6551,x6552)+E(f165(x6553,x6551,x6554),f165(x6553,x6552,x6554))
% 7.28/7.44 [656]~E(x6561,x6562)+E(f165(x6563,x6564,x6561),f165(x6563,x6564,x6562))
% 7.28/7.44 [657]~E(x6571,x6572)+E(f106(x6571),f106(x6572))
% 7.28/7.44 [658]~E(x6581,x6582)+E(f214(x6581,x6583,x6584),f214(x6582,x6583,x6584))
% 7.28/7.44 [659]~E(x6591,x6592)+E(f214(x6593,x6591,x6594),f214(x6593,x6592,x6594))
% 7.28/7.44 [660]~E(x6601,x6602)+E(f214(x6603,x6604,x6601),f214(x6603,x6604,x6602))
% 7.28/7.44 [661]~E(x6611,x6612)+E(f212(x6611),f212(x6612))
% 7.28/7.44 [662]~E(x6621,x6622)+E(f72(x6621),f72(x6622))
% 7.28/7.44 [663]~E(x6631,x6632)+E(f226(x6631),f226(x6632))
% 7.28/7.44 [664]~E(x6641,x6642)+E(f203(x6641,x6643,x6644),f203(x6642,x6643,x6644))
% 7.28/7.44 [665]~E(x6651,x6652)+E(f203(x6653,x6651,x6654),f203(x6653,x6652,x6654))
% 7.28/7.44 [666]~E(x6661,x6662)+E(f203(x6663,x6664,x6661),f203(x6663,x6664,x6662))
% 7.28/7.44 [667]~E(x6671,x6672)+E(f395(x6671),f395(x6672))
% 7.28/7.44 [668]~E(x6681,x6682)+E(f234(x6681),f234(x6682))
% 7.28/7.44 [669]~E(x6691,x6692)+E(f99(x6691),f99(x6692))
% 7.28/7.44 [670]~E(x6701,x6702)+E(f107(x6701),f107(x6702))
% 7.28/7.44 [671]~E(x6711,x6712)+E(f136(x6711),f136(x6712))
% 7.28/7.44 [672]~E(x6721,x6722)+E(f61(x6721),f61(x6722))
% 7.28/7.44 [673]~E(x6731,x6732)+E(f195(x6731,x6733),f195(x6732,x6733))
% 7.28/7.44 [674]~E(x6741,x6742)+E(f195(x6743,x6741),f195(x6743,x6742))
% 7.28/7.44 [675]~P1(x6751)+P1(x6752)+~E(x6751,x6752)
% 7.28/7.44 [676]~P6(x6761)+P6(x6762)+~E(x6761,x6762)
% 7.28/7.44 [677]~P7(x6771)+P7(x6772)+~E(x6771,x6772)
% 7.28/7.44 [678]~P5(x6781)+P5(x6782)+~E(x6781,x6782)
% 7.28/7.44 [679]~P2(x6791)+P2(x6792)+~E(x6791,x6792)
% 7.28/7.44 [680]~P8(x6801)+P8(x6802)+~E(x6801,x6802)
% 7.28/7.44 [681]~P3(x6811)+P3(x6812)+~E(x6811,x6812)
% 7.28/7.44 [682]~P4(x6821)+P4(x6822)+~E(x6821,x6822)
% 7.28/7.44
% 7.28/7.44 %-------------------------------------------
% 7.28/7.46 cnf(1999,plain,
% 7.28/7.46 (P6(f330(f328(a384,f267(f378(x19991),x19992)),x19991))),
% 7.28/7.46 inference(rename_variables,[],[871])).
% 7.28/7.46 cnf(2012,plain,
% 7.28/7.46 (~P6(f330(f328(a383,f267(f382(x20121),x20122)),x20122))),
% 7.28/7.46 inference(rename_variables,[],[930])).
% 7.28/7.46 cnf(2033,plain,
% 7.28/7.46 (P6(f269(f310(a387,x20331),f100(f92(f49(a242,f343(f55(a249),x20332)),f318(f56(a369),x20331)))))),
% 7.28/7.46 inference(rename_variables,[],[902])).
% 7.28/7.46 cnf(2039,plain,
% 7.28/7.46 (P6(f268(f294(a386,x20391),f88(f91(f36(a242,f280(f53(a245),x20392)),f304(f54(a371),x20391)))))),
% 7.28/7.46 inference(rename_variables,[],[900])).
% 7.28/7.46 cnf(2042,plain,
% 7.28/7.46 (P6(f268(f294(a386,x20421),f88(f91(f36(a242,f280(f53(a245),x20422)),f304(f54(a371),x20421)))))),
% 7.28/7.46 inference(rename_variables,[],[900])).
% 7.28/7.46 cnf(2045,plain,
% 7.28/7.46 (P6(f295(f286(a388,x20451),f96(f22(a242,f328(f16(a248),x20452)),f320(f68(a376),x20451))))),
% 7.28/7.46 inference(rename_variables,[],[888])).
% 7.28/7.46 cnf(2048,plain,
% 7.28/7.46 (P6(f295(f286(a388,x20481),f96(f22(a242,f328(f16(a248),x20482)),f320(f68(a376),x20481))))),
% 7.28/7.46 inference(rename_variables,[],[888])).
% 7.28/7.46 cnf(2051,plain,
% 7.28/7.46 (P6(f330(f328(a383,x20511),f267(a394,f267(f382(x20512),x20511))))),
% 7.28/7.46 inference(rename_variables,[],[872])).
% 7.28/7.46 cnf(2054,plain,
% 7.28/7.46 (P6(f330(f328(a384,x20541),f267(f382(x20542),x20541)))),
% 7.28/7.46 inference(rename_variables,[],[863])).
% 7.28/7.46 cnf(2057,plain,
% 7.28/7.46 (P6(f330(f328(a384,x20571),f267(f382(x20572),x20571)))),
% 7.28/7.46 inference(rename_variables,[],[863])).
% 7.28/7.46 cnf(2062,plain,
% 7.28/7.46 (P6(f330(f328(a383,x20621),f267(a394,f267(f382(x20622),x20621))))),
% 7.28/7.46 inference(rename_variables,[],[872])).
% 7.28/7.46 cnf(2067,plain,
% 7.28/7.46 (~P6(f330(f328(a383,x20671),x20671))),
% 7.28/7.46 inference(rename_variables,[],[925])).
% 7.28/7.46 cnf(2070,plain,
% 7.28/7.46 (P6(f330(f328(a383,x20701),f267(a394,x20701)))),
% 7.28/7.46 inference(rename_variables,[],[855])).
% 7.28/7.46 cnf(2079,plain,
% 7.28/7.46 (P6(f330(f328(a383,x20791),f267(a394,x20791)))),
% 7.28/7.46 inference(rename_variables,[],[855])).
% 7.28/7.46 cnf(2084,plain,
% 7.28/7.46 (~P6(f330(f328(a383,f267(f382(x20841),x20842)),x20841))),
% 7.28/7.46 inference(rename_variables,[],[931])).
% 7.28/7.46 cnf(2087,plain,
% 7.28/7.46 (~P6(f330(f328(a383,f267(f382(x20871),x20872)),x20872))),
% 7.28/7.46 inference(rename_variables,[],[930])).
% 7.28/7.46 cnf(2090,plain,
% 7.28/7.46 (~P6(f330(f328(a384,f267(a394,x20901)),x20901))),
% 7.28/7.46 inference(rename_variables,[],[929])).
% 7.28/7.46 cnf(2093,plain,
% 7.28/7.46 (~P6(f330(f328(a384,f267(a394,x20931)),x20931))),
% 7.28/7.46 inference(rename_variables,[],[929])).
% 7.28/7.46 cnf(2100,plain,
% 7.28/7.46 (~P6(f330(f328(a383,x21001),x21001))),
% 7.28/7.46 inference(rename_variables,[],[925])).
% 7.28/7.46 cnf(2106,plain,
% 7.28/7.46 (~P6(f330(f328(a384,f267(a394,x21061)),x21061))),
% 7.28/7.46 inference(rename_variables,[],[929])).
% 7.28/7.46 cnf(2150,plain,
% 7.28/7.46 (P6(f330(f328(a383,x21501),f267(a394,x21501)))),
% 7.28/7.46 inference(rename_variables,[],[855])).
% 7.28/7.46 cnf(2167,plain,
% 7.28/7.46 (P6(f330(f328(a383,x21671),f267(a394,x21671)))),
% 7.28/7.46 inference(rename_variables,[],[855])).
% 7.28/7.46 cnf(2170,plain,
% 7.28/7.46 (P6(f330(f328(a384,x21701),x21701))),
% 7.28/7.46 inference(rename_variables,[],[762])).
% 7.28/7.46 cnf(2173,plain,
% 7.28/7.46 (~P6(f330(f328(a383,x21731),x21731))),
% 7.28/7.46 inference(rename_variables,[],[925])).
% 7.28/7.46 cnf(2178,plain,
% 7.28/7.46 (P6(f295(f286(a388,x21781),x21781))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2187,plain,
% 7.28/7.46 (~P6(f269(f338(a369,x21871),a10))),
% 7.28/7.46 inference(rename_variables,[],[921])).
% 7.28/7.46 cnf(2193,plain,
% 7.28/7.46 (P6(f295(f286(a388,x21931),x21931))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2201,plain,
% 7.28/7.46 (~E(f267(a394,x22011),x22011)),
% 7.28/7.46 inference(rename_variables,[],[916])).
% 7.28/7.46 cnf(2211,plain,
% 7.28/7.46 (P6(f295(f286(a388,x22111),x22111))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2214,plain,
% 7.28/7.46 (P6(f295(f286(a388,x22141),x22141))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2217,plain,
% 7.28/7.46 (P6(f295(f286(a388,x22171),x22171))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2220,plain,
% 7.28/7.46 (P6(f295(f286(a388,x22201),x22201))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2223,plain,
% 7.28/7.46 (P6(f295(f286(a388,x22231),x22231))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2226,plain,
% 7.28/7.46 (P6(f295(f286(a388,x22261),x22261))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2229,plain,
% 7.28/7.46 (P6(f269(f310(a387,x22291),x22291))),
% 7.28/7.46 inference(rename_variables,[],[766])).
% 7.28/7.46 cnf(2232,plain,
% 7.28/7.46 (P6(f269(f310(a387,x22321),x22321))),
% 7.28/7.46 inference(rename_variables,[],[766])).
% 7.28/7.46 cnf(2235,plain,
% 7.28/7.46 (P6(f269(f310(a387,x22351),x22351))),
% 7.28/7.46 inference(rename_variables,[],[766])).
% 7.28/7.46 cnf(2238,plain,
% 7.28/7.46 (P6(f269(f310(a387,x22381),x22381))),
% 7.28/7.46 inference(rename_variables,[],[766])).
% 7.28/7.46 cnf(2241,plain,
% 7.28/7.46 (P6(f269(f310(a387,x22411),x22411))),
% 7.28/7.46 inference(rename_variables,[],[766])).
% 7.28/7.46 cnf(2244,plain,
% 7.28/7.46 (P6(f269(f310(a387,x22441),x22441))),
% 7.28/7.46 inference(rename_variables,[],[766])).
% 7.28/7.46 cnf(2247,plain,
% 7.28/7.46 (P6(f268(f294(a386,x22471),x22471))),
% 7.28/7.46 inference(rename_variables,[],[764])).
% 7.28/7.46 cnf(2250,plain,
% 7.28/7.46 (P6(f268(f294(a386,x22501),x22501))),
% 7.28/7.46 inference(rename_variables,[],[764])).
% 7.28/7.46 cnf(2253,plain,
% 7.28/7.46 (P6(f268(f294(a386,x22531),x22531))),
% 7.28/7.46 inference(rename_variables,[],[764])).
% 7.28/7.46 cnf(2256,plain,
% 7.28/7.46 (P6(f268(f294(a386,x22561),x22561))),
% 7.28/7.46 inference(rename_variables,[],[764])).
% 7.28/7.46 cnf(2261,plain,
% 7.28/7.46 (P6(f268(f294(a386,x22611),x22611))),
% 7.28/7.46 inference(rename_variables,[],[764])).
% 7.28/7.46 cnf(2278,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x22781))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2291,plain,
% 7.28/7.46 (P6(f330(f328(a384,a2),x22911))),
% 7.28/7.46 inference(rename_variables,[],[751])).
% 7.28/7.46 cnf(2294,plain,
% 7.28/7.46 (P6(f330(f328(a384,a2),x22941))),
% 7.28/7.46 inference(rename_variables,[],[751])).
% 7.28/7.46 cnf(2297,plain,
% 7.28/7.46 (E(f267(f378(f267(f382(x22971),x22972)),x22972),x22971)),
% 7.28/7.46 inference(rename_variables,[],[841])).
% 7.28/7.46 cnf(2301,plain,
% 7.28/7.46 (~P6(f295(f329(a376,x23011),a3))),
% 7.28/7.46 inference(rename_variables,[],[923])).
% 7.28/7.46 cnf(2310,plain,
% 7.28/7.46 (P6(f268(f294(a386,x23101),x23101))),
% 7.28/7.46 inference(rename_variables,[],[764])).
% 7.28/7.46 cnf(2315,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x23151))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2320,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23201),x23201))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2323,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23231),x23231))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2326,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23261),x23261))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2329,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23291),x23291))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2332,plain,
% 7.28/7.46 (P6(f330(f328(a383,a1),f267(a394,x23321)))),
% 7.28/7.46 inference(rename_variables,[],[852])).
% 7.28/7.46 cnf(2333,plain,
% 7.28/7.46 (~E(f267(a394,x23331),x23331)),
% 7.28/7.46 inference(rename_variables,[],[916])).
% 7.28/7.46 cnf(2336,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23361),x23361))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2339,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23391),x23391))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2342,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23421),x23421))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2345,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23451),x23451))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2348,plain,
% 7.28/7.46 (P6(f295(f286(a388,x23481),x23481))),
% 7.28/7.46 inference(rename_variables,[],[768])).
% 7.28/7.46 cnf(2356,plain,
% 7.28/7.46 (P6(f330(f328(a384,x23561),x23561))),
% 7.28/7.46 inference(rename_variables,[],[762])).
% 7.28/7.46 cnf(2360,plain,
% 7.28/7.46 (~E(f267(a394,x23601),x23601)),
% 7.28/7.46 inference(rename_variables,[],[916])).
% 7.28/7.46 cnf(2363,plain,
% 7.28/7.46 (P6(f330(f328(a384,x23631),x23631))),
% 7.28/7.46 inference(rename_variables,[],[762])).
% 7.28/7.46 cnf(2364,plain,
% 7.28/7.46 (P6(f330(f328(a384,a2),x23641))),
% 7.28/7.46 inference(rename_variables,[],[751])).
% 7.28/7.46 cnf(2367,plain,
% 7.28/7.46 (P6(f330(f328(a384,x23671),x23671))),
% 7.28/7.46 inference(rename_variables,[],[762])).
% 7.28/7.46 cnf(2374,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x23741))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2377,plain,
% 7.28/7.46 (P6(f268(f294(a386,a9),x23771))),
% 7.28/7.46 inference(rename_variables,[],[755])).
% 7.28/7.46 cnf(2380,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x23801))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2383,plain,
% 7.28/7.46 (P6(f268(f294(a386,a9),x23831))),
% 7.28/7.46 inference(rename_variables,[],[755])).
% 7.28/7.46 cnf(2388,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x23881))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2391,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x23911))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2394,plain,
% 7.28/7.46 (P6(f268(f294(a386,a9),x23941))),
% 7.28/7.46 inference(rename_variables,[],[755])).
% 7.28/7.46 cnf(2402,plain,
% 7.28/7.46 (P6(f269(f310(a387,x24021),x24021))),
% 7.28/7.46 inference(rename_variables,[],[766])).
% 7.28/7.46 cnf(2406,plain,
% 7.28/7.46 (P6(f268(f294(a386,x24061),x24061))),
% 7.28/7.46 inference(rename_variables,[],[764])).
% 7.28/7.46 cnf(2410,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x24101))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2413,plain,
% 7.28/7.46 (P6(f268(f294(a386,a9),x24131))),
% 7.28/7.46 inference(rename_variables,[],[755])).
% 7.28/7.46 cnf(2416,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x24161))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2419,plain,
% 7.28/7.46 (P6(f268(f294(a386,a9),x24191))),
% 7.28/7.46 inference(rename_variables,[],[755])).
% 7.28/7.46 cnf(2430,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x24301))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2435,plain,
% 7.28/7.46 (P6(f269(f310(a387,a10),x24351))),
% 7.28/7.46 inference(rename_variables,[],[757])).
% 7.28/7.46 cnf(2451,plain,
% 7.28/7.46 (~E(f267(a394,x24511),x24511)),
% 7.28/7.46 inference(rename_variables,[],[916])).
% 7.28/7.46 cnf(3365,plain,
% 7.28/7.46 (~E(f267(a394,x33651),x33651)),
% 7.28/7.46 inference(rename_variables,[],[916])).
% 7.28/7.46 cnf(3368,plain,
% 7.28/7.46 (~E(f267(a394,x33681),x33681)),
% 7.28/7.46 inference(rename_variables,[],[916])).
% 7.28/7.46 cnf(3401,plain,
% 7.28/7.46 (~E(f267(a394,x34011),x34011)),
% 7.28/7.46 inference(rename_variables,[],[916])).
% 7.28/7.46 cnf(3512,plain,
% 7.28/7.46 ($false),
% 7.28/7.46 inference(scs_inference,[],[936,683,686,687,688,689,690,692,694,697,684,702,711,712,713,714,715,716,717,698,699,700,701,749,851,928,875,916,2201,2333,2360,2451,3365,3368,3401,719,720,723,724,731,914,709,708,762,2170,2356,2363,2367,764,2247,2250,2253,2256,2261,2310,2406,766,2229,2232,2235,2238,2241,2244,2402,768,2178,2193,2211,2214,2217,2220,2223,2226,2320,2323,2326,2329,2336,2339,2342,2345,2348,925,2067,2100,2173,751,2291,2294,2364,755,2377,2383,2394,2413,2419,757,2278,2315,2374,2380,2388,2391,2410,2416,2430,2435,759,917,919,921,2187,923,2301,855,2070,2079,2150,2167,852,2332,929,2090,2093,2106,805,841,2297,863,2054,2057,871,1999,930,2012,2087,931,2084,821,872,2051,2062,927,934,935,888,2045,2048,889,899,900,2039,2042,902,2033,2,1163,1157,1054,1053,1052,1051,1624,1202,1186,1096,1092,947,946,943,942,1232,1150,1958,1957,1956,1955,1918,1917,1648,1647,1646,1642,1629,1611,1537,1528,1527,1524,1450,1445,1444,1417,1415,1413,1411,1371,1349,1325,1323,1321,1281,1273,1234,1229,1226,1225,1224,1218,1195,1194,1193,1145,1142,1141,1795,1794,1793,1792,1631,1630,1620,1313,1312,1311,1240,1239,1235,1208,1720,1719,1670,1455,1451,1420,1418,1318,1784,1782,1487,682,676,3,1069,1068,1067,1066,1403,1402,1401,1400,1399,1398,1397,1396,1395,1394,1393,1392,1391,1390,1389,1388,1387,1386,1623,1482,1468,1461,1733,1484,1483,1456,1367,1336,1330,1284,1076,1791,1790,1787,1492,1491,1490,1936,1559,1558,1557,1555,1236,1585,1584,1583,1582,1581,1580,1238,1237,1370,1761,1752,1621,1729,1577,1576,1575,1574,1573,1572,1569,1566,1446,1604,1603,1602,1601,1600,1599,1596,1595,1592,1591,1588,1587,1197,1196,1165,1162,1158,1155,1122,1121,1120,1114,1055,1026,1025,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,975,971,970,969,968,967,966,965,958,957,956,955,954,953,952,951,950,941,940,939,938,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1871,1870,1869,1867,1865,1863,1850,1760,1757,1755,1748,1626,1619,1618,1617,1616,1615,1614,1613,1612,1310,1309,1308,1307,1306,1305,1304,1303,1302,1233,1207,1181,1180,1179,1178,1177,1176,1175,1174,1173,1172,1171,1170,1169,1168,1167,1166,1160,1159,1140,1139,1113,1112,1104,1103,1102,1098,1097,1091,1090,1084,1083,1075,1074,1032,1031,1030,1029,1028,1935,1934,1933,1932,1886,1885,1668,1667,1666,1665,1664,1663,1662,1661,1660,1659,1658,1657,1656,1048,1047,1044,1043,1949,1948,1909,1881,1880,1878,1877,1803,1800,1758,1750,1747,1746,1643,1637,1636,1635,1634,1633,1632,1627,1553,1552,1551,1550,1549,1548,1547,1546,1545]),
% 7.28/7.46 ['proof']).
% 7.28/7.47 % SZS output end Proof
% 7.28/7.47 % Total time :6.010000s
%------------------------------------------------------------------------------