TSTP Solution File: SWW474+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 00:14:35 EDT 2023
% Result : Theorem 40.48s 40.62s
% Output : CNFRefutation 40.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 21:01:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 40.33/40.55 %-------------------------------------------
% 40.33/40.55 % File :CSE---1.6
% 40.33/40.55 % Problem :theBenchmark
% 40.33/40.55 % Transform :cnf
% 40.33/40.55 % Format :tptp:raw
% 40.33/40.55 % Command :java -jar mcs_scs.jar %d %s
% 40.33/40.55
% 40.33/40.55 % Result :Theorem 38.260000s
% 40.33/40.55 % Output :CNFRefutation 38.260000s
% 40.33/40.55 %-------------------------------------------
% 40.33/40.56 %------------------------------------------------------------------------------
% 40.33/40.56 % File : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% 40.33/40.56 % Domain : Software Verification
% 40.33/40.56 % Problem : Hoare's Logic with Procedures line 440, 500 axioms selected
% 40.33/40.56 % Version : Especial.
% 40.33/40.56 % English :
% 40.33/40.56
% 40.33/40.56 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 40.33/40.56 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 40.33/40.56 % Source : [Bla11]
% 40.33/40.56 % Names : hoare_500_fofmg_l440 [Bla11]
% 40.33/40.56
% 40.33/40.56 % Status : Theorem
% 40.33/40.56 % Rating : 0.36 v8.1.0, 0.42 v7.5.0, 0.44 v7.4.0, 0.37 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.30 v7.0.0, 0.43 v6.4.0, 0.42 v6.2.0, 0.52 v6.1.0, 0.63 v6.0.0, 0.57 v5.5.0, 0.63 v5.4.0, 0.71 v5.3.0
% 40.33/40.56 % Syntax : Number of formulae : 868 ( 313 unt; 0 def)
% 40.33/40.56 % Number of atoms : 2187 ( 620 equ)
% 40.33/40.56 % Maximal formula atoms : 13 ( 2 avg)
% 40.33/40.56 % Number of connectives : 1559 ( 240 ~; 51 |; 169 &)
% 40.33/40.56 % ( 116 <=>; 983 =>; 0 <=; 0 <~>)
% 40.33/40.56 % Maximal formula depth : 16 ( 5 avg)
% 40.33/40.56 % Maximal term depth : 15 ( 2 avg)
% 40.33/40.56 % Number of predicates : 7 ( 6 usr; 0 prp; 1-2 aty)
% 40.33/40.56 % Number of functors : 361 ( 361 usr; 113 con; 0-2 aty)
% 40.33/40.56 % Number of variables : 2223 (2175 !; 48 ?)
% 40.33/40.56 % SPC : FOF_THM_RFO_SEQ
% 40.33/40.56
% 40.33/40.56 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 40.33/40.56 % 2011-08-09 14:54:54
% 40.33/40.56 % : Encoded with monomorphized guards.
% 40.33/40.56 %------------------------------------------------------------------------------
% 40.33/40.56 %----Explicit typings (54)
% 40.33/40.56 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname,axiom,
% 40.33/40.56 ! [B_1_1] :
% 40.33/40.56 ( is_bool(B_1_1)
% 40.33/40.56 => is_fun_pname_bool(cOMBK_bool_pname(B_1_1)) ) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 40.33/40.56 ! [B_1_1] :
% 40.33/40.56 ( is_bool(B_1_1)
% 40.33/40.56 => is_fun1661590463l_bool(cOMBK_1857069011e_bool(B_1_1)) ) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Com_OWT__bodies,hypothesis,
% 40.33/40.56 is_bool(wT_bodies) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname,axiom,
% 40.33/40.56 is_fun1661590463l_bool(finite_finite_pname) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofolding__one_000tc__Com__Opname,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(finite1282449217_pname(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(finite774711482_state(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofolding__one_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(finite1626890877e_bool(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofolding__one_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(finite132673334e_bool(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Com__Opname,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(finite89670078_pname(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____ddpglwnxwg__O,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(finite506823037_state(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(finite1268145088e_bool(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__fun_Itc__Hoare____Mirabelle____ddpg,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(finite959343283e_bool(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_HOL_Oundefined_000tc__Com__Opname,axiom,
% 40.33/40.56 is_pname(undefined_pname(pname)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 40.33/40.56 is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 40.33/40.56 is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Hoare__Mirabelle__ddpglwnxwg_Ostate__not__singleton,hypothesis,
% 40.33/40.56 is_bool(hoare_298929751gleton) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom,hypothesis,
% 40.33/40.56 ! [B_1_1] : is_fun_pname_bool(dom_pname_com(B_1_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Option_Ooption_OSome_000tc__Com__Opname,axiom,
% 40.33/40.56 ! [B_1_1] :
% 40.33/40.56 ( is_pname(B_1_1)
% 40.33/40.56 => is_option_pname(some_pname(B_1_1)) ) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Option_Oset_000tc__Com__Opname,axiom,
% 40.33/40.56 ! [B_1_1] :
% 40.33/40.56 ( is_option_pname(B_1_1)
% 40.33/40.56 => is_fun_pname_bool(set_pname(B_1_1)) ) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom,
% 40.33/40.56 is_bool(bot_bot_bool) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 40.33/40.56 is_fun_pname_bool(bot_bo844097828e_bool) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__,axiom,
% 40.33/40.56 is_fun1661590463l_bool(bot_bo1649642514l_bool) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_fFalse,axiom,
% 40.33/40.56 is_bool(fFalse) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_fTrue,axiom,
% 40.33/40.56 is_bool(fTrue) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] : is_bool(hAPP_com_bool(B_1_1,B_2_1)) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] :
% 40.33/40.56 ( is_pname(B_2_1)
% 40.33/40.56 => is_pname(hAPP_pname_pname(B_1_1,B_2_1)) ) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] :
% 40.33/40.56 ( ( is_fun_pname_bool(B_1_1)
% 40.33/40.56 & is_pname(B_2_1) )
% 40.33/40.56 => is_bool(hAPP_pname_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] :
% 40.33/40.56 ( is_pname(B_2_1)
% 40.33/40.56 => is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.56
% 40.33/40.56 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
% 40.33/40.56 ! [B_1_1,B_2_1] :
% 40.33/40.56 ( is_pname(B_2_1)
% 40.33/40.56 => is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_bool(hAPP_state_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] :
% 40.33/40.57 ( is_bool(B_2_1)
% 40.33/40.57 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_pname(hAPP_H1344248906_pname(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0_001,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_bool(hAPP_H513860823e_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0_002,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_H1632039476e_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0_003,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(hAPP_H737849090l_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Ocom_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_bool(hAPP_f990396704l_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] :
% 40.33/40.57 ( is_fun_pname_bool(B_2_1)
% 40.33/40.57 => is_pname(hAPP_f1297739591_pname(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] :
% 40.33/40.57 ( ( is_fun1661590463l_bool(B_1_1)
% 40.33/40.57 & is_fun_pname_bool(B_2_1) )
% 40.33/40.57 => is_bool(hAPP_f1664156314l_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] :
% 40.33/40.57 ( is_fun_pname_bool(B_2_1)
% 40.33/40.57 => is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] :
% 40.33/40.57 ( is_fun_pname_bool(B_2_1)
% 40.33/40.57 => is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__fun_Itc__Com__Opname_Mtc__HOL__Obool,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_f42430548e_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_bool(hAPP_f327114704l_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_pname(hAPP_f1008690464_pname(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004,hypothesis,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_bool(hAPP_f1760790145l_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_005,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_f1745235422e_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_006,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(hAPP_f748867288l_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] :
% 40.33/40.57 ( is_fun1661590463l_bool(B_2_1)
% 40.33/40.57 => is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_007,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] :
% 40.33/40.57 ( is_fun1661590463l_bool(B_2_1)
% 40.33/40.57 => is_fun_pname_bool(hAPP_f674760225e_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_008,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] :
% 40.33/40.57 ( is_fun1661590463l_bool(B_2_1)
% 40.33/40.57 => is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2_1)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_bool(hAPP_f239102607l_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It_009,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_f280588268e_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__O,axiom,
% 40.33/40.57 ! [B_1_1,B_2_1] : is_bool(hAPP_f1904669497l_bool(B_1_1,B_2_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(gsy_v_pn,hypothesis,
% 40.33/40.57 is_pname(pn) ).
% 40.33/40.57
% 40.33/40.57 %----Relevant facts (699)
% 40.33/40.57 fof(fact_0_empty,axiom,
% 40.33/40.57 ! [G_1] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),bot_bo1055319631e_bool)) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_1_asm,axiom,
% 40.33/40.57 ! [Ts,G_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Ts),G_1))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts)) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_2_weaken,axiom,
% 40.33/40.57 ! [Ts,G_1,Ts_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts_1))
% 40.33/40.57 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Ts),Ts_1))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts)) ) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_3_thin,axiom,
% 40.33/40.57 ! [G_1,G_2,Ts] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_2),Ts))
% 40.33/40.57 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,G_2),G_1))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts)) ) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_4_cut,axiom,
% 40.33/40.57 ! [G_1,G_2,Ts] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_2),Ts))
% 40.33/40.57 => ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),G_2))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts)) ) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_5_hoare__derivs_Oinsert,axiom,
% 40.33/40.57 ! [Ts,G_1,T] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,T),bot_bo1055319631e_bool)))
% 40.33/40.57 => ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,T),Ts))) ) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_6_derivs__insertD,axiom,
% 40.33/40.57 ! [G_1,T,Ts] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,T),Ts)))
% 40.33/40.57 => ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,T),bot_bo1055319631e_bool)))
% 40.33/40.57 & hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts)) ) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_7_MGT__BodyN,axiom,
% 40.33/40.57 ! [Pn_1,G_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,Pn_1))),G_1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,Pn_1)))),bot_bo1055319631e_bool)))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,Pn_1))),bot_bo1055319631e_bool))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_8_finite__Collect__subsets,axiom,
% 40.33/40.57 ! [A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.33/40.57 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,hAPP_f783502055l_bool(collec1613912337l_bool,hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,ord_le675606854l_bool),A_1)))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_9_finite__Collect__subsets,axiom,
% 40.33/40.57 ! [A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.33/40.57 => hBOOL(hAPP_f1904669497l_bool(finite1586217244l_bool,hAPP_f1987093l_bool(collec1277803610l_bool,hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,ord_le1076702565l_bool),A_1)))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_10_finite__Collect__subsets,axiom,
% 40.33/40.57 ! [A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.57 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,ord_le1720872323e_bool),A_1)))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_11_finite__Collect__subsets,axiom,
% 40.33/40.57 ! [A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.57 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,ord_le313189616e_bool),A_1)))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_12_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,Fa))
% 40.33/40.57 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_13_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,Fa))
% 40.33/40.57 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_14_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.33/40.57 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_15_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.33/40.57 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_16_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_17_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,Fa))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_18_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 40.33/40.57 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_19_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,Fa))
% 40.33/40.57 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_20_finite__imageI,axiom,
% 40.33/40.57 ! [H,Fa] :
% 40.33/40.57 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(H),Fa))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_21_empty__subsetI,axiom,
% 40.33/40.57 ! [A_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_22_empty__subsetI,axiom,
% 40.33/40.57 ! [A_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),A_1)) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_23_finite_OinsertI,axiom,
% 40.33/40.57 ! [A,A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.33/40.57 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),A_1))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_24_finite_OinsertI,axiom,
% 40.33/40.57 ! [A,A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.33/40.57 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),A_1))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_25_finite_OinsertI,axiom,
% 40.33/40.57 ! [A,A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.57 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),A_1))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_26_finite_OinsertI,axiom,
% 40.33/40.57 ! [A,A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_27_finite_OemptyI,axiom,
% 40.33/40.57 hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_28_finite_OemptyI,axiom,
% 40.33/40.57 hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,bot_bo1325454745l_bool)) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_29_finite_OemptyI,axiom,
% 40.33/40.57 hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_30_finite_OemptyI,axiom,
% 40.33/40.57 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_31_finite__Collect__conjI,axiom,
% 40.33/40.57 ! [Q_1,P_1] :
% 40.33/40.57 ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,P_1)))
% 40.33/40.57 | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,Q_1))) )
% 40.33/40.57 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),P_1)),Q_1)))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_32_finite__Collect__conjI,axiom,
% 40.33/40.57 ! [Q_1,P_1] :
% 40.33/40.57 ( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,P_1)))
% 40.33/40.57 | hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,Q_1))) )
% 40.33/40.57 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),P_1)),Q_1)))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_33_finite__Collect__conjI,axiom,
% 40.33/40.57 ! [Q_1,P_1] :
% 40.33/40.57 ( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,P_1)))
% 40.33/40.57 | hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,Q_1))) )
% 40.33/40.57 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),P_1)),Q_1)))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_34_finite__Collect__conjI,axiom,
% 40.33/40.57 ! [Q_1,P_1] :
% 40.33/40.57 ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,P_1)))
% 40.33/40.57 | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,Q_1))) )
% 40.33/40.57 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),P_1)),Q_1)))) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_35_image__constant__conv,axiom,
% 40.33/40.57 ! [C,A_1] :
% 40.33/40.57 ( ( A_1 = bot_bo1055319631e_bool
% 40.33/40.57 => hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(C)),A_1) = bot_bo844097828e_bool )
% 40.33/40.57 & ( A_1 != bot_bo1055319631e_bool
% 40.33/40.57 => hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(C)),A_1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,C),bot_bo844097828e_bool) ) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_36_image__constant__conv,axiom,
% 40.33/40.57 ! [C,A_1] :
% 40.33/40.57 ( is_fun_pname_bool(A_1)
% 40.33/40.57 => ( ( A_1 = bot_bo844097828e_bool
% 40.33/40.57 => hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(C)),A_1) = bot_bo1055319631e_bool )
% 40.33/40.57 & ( A_1 != bot_bo844097828e_bool
% 40.33/40.57 => hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(C)),A_1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,C),bot_bo1055319631e_bool) ) ) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_37_image__constant,axiom,
% 40.33/40.57 ! [C,X_1,A_1] :
% 40.33/40.57 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.57 => hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(C)),A_1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,C),bot_bo844097828e_bool) ) ).
% 40.33/40.57
% 40.33/40.57 fof(fact_38_image__constant,axiom,
% 40.33/40.57 ! [C,X_1,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.58 => hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(C)),A_1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,C),bot_bo1055319631e_bool) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_39_insert__dom,axiom,
% 40.33/40.58 ! [F,X_1,Y_1] :
% 40.33/40.58 ( hAPP_p799580910on_com(F,X_1) = some_com(Y_1)
% 40.33/40.58 => hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),dom_pname_com(F)) = dom_pname_com(F) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_40_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),hAPP_f748867288l_bool(image_1259634916e_bool(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_41_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,B),hAPP_f854625363l_bool(image_277167759e_bool(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_42_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_43_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),hAPP_f434788991l_bool(image_47868345e_bool(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_44_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,B),hAPP_f1874607724l_bool(image_505480954e_bool(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_45_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f759274231e_bool(image_pname_pname(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_46_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f780887186e_bool(image_936554724_state(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_47_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f772567431e_bool(image_774712299_state(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_48_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f674760225e_bool(image_1283814551_pname(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_49_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f280588268e_bool(image_636285904_pname(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_50_finite__surj,axiom,
% 40.33/40.58 ! [B,F,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f631639356e_bool(image_275883510_state(F),A_1)))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_51_subset__singletonD,axiom,
% 40.33/40.58 ! [A_1,X_1] :
% 40.33/40.58 ( is_fun_pname_bool(A_1)
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))
% 40.33/40.58 => ( A_1 = bot_bo844097828e_bool
% 40.33/40.58 | A_1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool) ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_52_subset__singletonD,axiom,
% 40.33/40.58 ! [A_1,X_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)))
% 40.33/40.58 => ( A_1 = bot_bo1055319631e_bool
% 40.33/40.58 | A_1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_53_MGF,axiom,
% 40.33/40.58 ! [C] :
% 40.33/40.58 ( hBOOL(hoare_298929751gleton)
% 40.33/40.58 => ( hBOOL(wT_bodies)
% 40.33/40.58 => ( hBOOL(hAPP_com_bool(wt,C))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,C)),bot_bo1055319631e_bool))) ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_54_emptyE,axiom,
% 40.33/40.58 ! [A] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),bot_bo844097828e_bool)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_55_emptyE,axiom,
% 40.33/40.58 ! [A] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),bot_bo1055319631e_bool)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_56_insertCI,axiom,
% 40.33/40.58 ! [B_1,A,B] :
% 40.33/40.58 ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B))
% 40.33/40.58 => A = B_1 )
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_1),B))) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_57_insertCI,axiom,
% 40.33/40.58 ! [B_1,A,B] :
% 40.33/40.58 ( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),B))
% 40.33/40.58 => A = B_1 )
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,B_1),B))) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_58_insertE,axiom,
% 40.33/40.58 ! [A,B_1,A_1] :
% 40.33/40.58 ( ( is_pname(A)
% 40.33/40.58 & is_pname(B_1) )
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_1),A_1)))
% 40.33/40.58 => ( A != B_1
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1)) ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_59_insertE,axiom,
% 40.33/40.58 ! [A,B_1,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,B_1),A_1)))
% 40.33/40.58 => ( A != B_1
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_60_equalityI,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( ( is_fun_pname_bool(A_1)
% 40.33/40.58 & is_fun_pname_bool(B) )
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A_1))
% 40.33/40.58 => A_1 = B ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_61_equalityI,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),A_1))
% 40.33/40.58 => A_1 = B ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_62_subsetD,axiom,
% 40.33/40.58 ! [C,A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_63_subsetD,axiom,
% 40.33/40.58 ! [C,A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_64_image__eqI,axiom,
% 40.33/40.58 ! [A_1,B_1,F,X_1] :
% 40.33/40.58 ( B_1 = hAPP_H1344248906_pname(F,X_1)
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1))) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_65_image__eqI,axiom,
% 40.33/40.58 ! [A_1,B_1,F,X_1] :
% 40.33/40.58 ( B_1 = hAPP_p1842370726_state(F,X_1)
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,B_1),hAPP_f631639356e_bool(image_275883510_state(F),A_1))) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_66_equals0D,axiom,
% 40.33/40.58 ! [A,A_1] :
% 40.33/40.58 ( A_1 = bot_bo844097828e_bool
% 40.33/40.58 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_67_equals0D,axiom,
% 40.33/40.58 ! [A,A_1] :
% 40.33/40.58 ( A_1 = bot_bo1055319631e_bool
% 40.33/40.58 => ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_68_Collect__empty__eq,axiom,
% 40.33/40.58 ! [P_1] :
% 40.33/40.58 ( hAPP_f759274231e_bool(collect_pname,P_1) = bot_bo844097828e_bool
% 40.33/40.58 <=> ! [X_2] :
% 40.33/40.58 ( is_pname(X_2)
% 40.33/40.58 => ~ hBOOL(hAPP_pname_bool(P_1,X_2)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_69_Collect__empty__eq,axiom,
% 40.33/40.58 ! [P_1] :
% 40.33/40.58 ( hAPP_f559147733l_bool(collec1974731493e_bool,P_1) = bot_bo1649642514l_bool
% 40.33/40.58 <=> ! [X_2] :
% 40.33/40.58 ( is_fun_pname_bool(X_2)
% 40.33/40.58 => ~ hBOOL(hAPP_f1664156314l_bool(P_1,X_2)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_70_Collect__empty__eq,axiom,
% 40.33/40.58 ! [P_1] :
% 40.33/40.58 ( hAPP_f1970439265l_bool(collec111528142e_bool,P_1) = bot_bo1325454745l_bool
% 40.33/40.58 <=> ! [X_2] : ~ hBOOL(hAPP_f1760790145l_bool(P_1,X_2)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_71_Collect__empty__eq,axiom,
% 40.33/40.58 ! [P_1] :
% 40.33/40.58 ( hAPP_f921536533e_bool(collec727977250_state,P_1) = bot_bo1055319631e_bool
% 40.33/40.58 <=> ! [X_2] : ~ hBOOL(hAPP_H513860823e_bool(P_1,X_2)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_72_empty__iff,axiom,
% 40.33/40.58 ! [C] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),bot_bo844097828e_bool)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_73_empty__iff,axiom,
% 40.33/40.58 ! [C] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),bot_bo1055319631e_bool)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_74_empty__Collect__eq,axiom,
% 40.33/40.58 ! [P_1] :
% 40.33/40.58 ( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,P_1)
% 40.33/40.58 <=> ! [X_2] :
% 40.33/40.58 ( is_pname(X_2)
% 40.33/40.58 => ~ hBOOL(hAPP_pname_bool(P_1,X_2)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_75_empty__Collect__eq,axiom,
% 40.33/40.58 ! [P_1] :
% 40.33/40.58 ( bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,P_1)
% 40.33/40.58 <=> ! [X_2] :
% 40.33/40.58 ( is_fun_pname_bool(X_2)
% 40.33/40.58 => ~ hBOOL(hAPP_f1664156314l_bool(P_1,X_2)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_76_empty__Collect__eq,axiom,
% 40.33/40.58 ! [P_1] :
% 40.33/40.58 ( bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,P_1)
% 40.33/40.58 <=> ! [X_2] : ~ hBOOL(hAPP_f1760790145l_bool(P_1,X_2)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_77_empty__Collect__eq,axiom,
% 40.33/40.58 ! [P_1] :
% 40.33/40.58 ( bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,P_1)
% 40.33/40.58 <=> ! [X_2] : ~ hBOOL(hAPP_H513860823e_bool(P_1,X_2)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_78_ex__in__conv,axiom,
% 40.33/40.58 ! [A_1] :
% 40.33/40.58 ( is_fun_pname_bool(A_1)
% 40.33/40.58 => ( ? [X_2] :
% 40.33/40.58 ( is_pname(X_2)
% 40.33/40.58 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1)) )
% 40.33/40.58 <=> A_1 != bot_bo844097828e_bool ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_79_ex__in__conv,axiom,
% 40.33/40.58 ! [A_1] :
% 40.33/40.58 ( ? [X_2] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.33/40.58 <=> A_1 != bot_bo1055319631e_bool ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_80_all__not__in__conv,axiom,
% 40.33/40.58 ! [A_1] :
% 40.33/40.58 ( is_fun_pname_bool(A_1)
% 40.33/40.58 => ( ! [X_2] :
% 40.33/40.58 ( is_pname(X_2)
% 40.33/40.58 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1)) )
% 40.33/40.58 <=> A_1 = bot_bo844097828e_bool ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_81_all__not__in__conv,axiom,
% 40.33/40.58 ! [A_1] :
% 40.33/40.58 ( ! [X_2] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.33/40.58 <=> A_1 = bot_bo1055319631e_bool ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_82_empty__def,axiom,
% 40.33/40.58 bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,cOMBK_bool_pname(fFalse)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_83_empty__def,axiom,
% 40.33/40.58 bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,cOMBK_1857069011e_bool(fFalse)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_84_empty__def,axiom,
% 40.33/40.58 bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,cOMBK_564432736e_bool(fFalse)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_85_empty__def,axiom,
% 40.33/40.58 bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_86_insert__absorb,axiom,
% 40.33/40.58 ! [A,A_1] :
% 40.33/40.58 ( is_fun_pname_bool(A_1)
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1))
% 40.33/40.58 => hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),A_1) = A_1 ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_87_insert__absorb,axiom,
% 40.33/40.58 ! [A,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1))
% 40.33/40.58 => hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1) = A_1 ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_88_insertI2,axiom,
% 40.33/40.58 ! [B_1,A,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_1),B))) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_89_insertI2,axiom,
% 40.33/40.58 ! [B_1,A,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),B))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,B_1),B))) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_90_insert__ident,axiom,
% 40.33/40.58 ! [B,X_1,A_1] :
% 40.33/40.58 ( ( is_fun_pname_bool(B)
% 40.33/40.58 & is_fun_pname_bool(A_1) )
% 40.33/40.58 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.58 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))
% 40.33/40.58 => ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)
% 40.33/40.58 <=> A_1 = B ) ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_91_insert__ident,axiom,
% 40.33/40.58 ! [B,X_1,A_1] :
% 40.33/40.58 ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.58 => ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),B))
% 40.33/40.58 => ( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),B)
% 40.33/40.58 <=> A_1 = B ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_92_insert__code,axiom,
% 40.33/40.58 ! [Y_1,A_1,X_1] :
% 40.33/40.58 ( ( is_pname(Y_1)
% 40.33/40.58 & is_pname(X_1) )
% 40.33/40.58 => ( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,Y_1),A_1),X_1))
% 40.33/40.58 <=> ( Y_1 = X_1
% 40.33/40.58 | hBOOL(hAPP_pname_bool(A_1,X_1)) ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_93_insert__code,axiom,
% 40.33/40.58 ! [Y_1,A_1,X_1] :
% 40.33/40.58 ( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,Y_1),A_1),X_1))
% 40.33/40.58 <=> ( Y_1 = X_1
% 40.33/40.58 | hBOOL(hAPP_H513860823e_bool(A_1,X_1)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_94_insert__iff,axiom,
% 40.33/40.58 ! [A,B_1,A_1] :
% 40.33/40.58 ( ( is_pname(A)
% 40.33/40.58 & is_pname(B_1) )
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_1),A_1)))
% 40.33/40.58 <=> ( A = B_1
% 40.33/40.58 | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1)) ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_95_insert__iff,axiom,
% 40.33/40.58 ! [A,B_1,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,B_1),A_1)))
% 40.33/40.58 <=> ( A = B_1
% 40.33/40.58 | hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_96_insert__commute,axiom,
% 40.33/40.58 ! [X_1,Y_1,A_1] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,Y_1),A_1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,Y_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_97_insert__commute,axiom,
% 40.33/40.58 ! [X_1,Y_1,A_1] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,Y_1),A_1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,Y_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_98_insert__absorb2,axiom,
% 40.33/40.58 ! [X_1,A_1] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_99_insert__absorb2,axiom,
% 40.33/40.58 ! [X_1,A_1] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_100_insert__Collect,axiom,
% 40.33/40.58 ! [A,P_1] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(collect_pname,P_1)) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fimplies),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),A)))),P_1)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_101_insert__Collect,axiom,
% 40.33/40.58 ! [A,P_1] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),hAPP_f559147733l_bool(collec1974731493e_bool,P_1)) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fimplies),hAPP_f559147733l_bool(cOMBB_307249310e_bool(fNot),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),A)))),P_1)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_102_insert__Collect,axiom,
% 40.33/40.58 ! [A,P_1] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),hAPP_f1970439265l_bool(collec111528142e_bool,P_1)) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fimplies),hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(fNot),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),A)))),P_1)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_103_insert__Collect,axiom,
% 40.33/40.58 ! [A,P_1] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(collec727977250_state,P_1)) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fimplies),hAPP_f921536533e_bool(cOMBB_416661851_state(fNot),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),A)))),P_1)) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_104_insert__compr,axiom,
% 40.33/40.58 ! [A,B] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),A))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),B))) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_105_insert__compr,axiom,
% 40.33/40.58 ! [A,B] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),B) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),A))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),B))) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_106_insert__compr,axiom,
% 40.33/40.58 ! [A,B] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),B) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),A))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),B))) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_107_insert__compr,axiom,
% 40.33/40.58 ! [A,B] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),A))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),B))) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_108_insertI1,axiom,
% 40.33/40.58 ! [A,B] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B))) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_109_insertI1,axiom,
% 40.33/40.58 ! [A,B] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B))) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_110_equalityE,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( A_1 = B
% 40.33/40.58 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.58 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A_1)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_111_equalityE,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( A_1 = B
% 40.33/40.58 => ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.58 => ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),A_1)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_112_subset__trans,axiom,
% 40.33/40.58 ! [C_1,A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),C_1))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),C_1)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_113_subset__trans,axiom,
% 40.33/40.58 ! [C_1,A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),C_1))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),C_1)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_114_set__mp,axiom,
% 40.33/40.58 ! [X_1,A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_115_set__mp,axiom,
% 40.33/40.58 ! [X_1,A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_116_set__rev__mp,axiom,
% 40.33/40.58 ! [B,X_1,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_117_set__rev__mp,axiom,
% 40.33/40.58 ! [B,X_1,A_1] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_118_in__mono,axiom,
% 40.33/40.58 ! [X_1,A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_119_in__mono,axiom,
% 40.33/40.58 ! [X_1,A_1,B] :
% 40.33/40.58 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.58 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),B)) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_120_equalityD2,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( A_1 = B
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A_1)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_121_equalityD2,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( A_1 = B
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),A_1)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_122_equalityD1,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( A_1 = B
% 40.33/40.58 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_123_equalityD1,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( A_1 = B
% 40.33/40.58 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B)) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_124_set__eq__subset,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( ( is_fun_pname_bool(A_1)
% 40.33/40.58 & is_fun_pname_bool(B) )
% 40.33/40.58 => ( A_1 = B
% 40.33/40.58 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.58 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A_1)) ) ) ) ).
% 40.33/40.58
% 40.33/40.58 fof(fact_125_set__eq__subset,axiom,
% 40.33/40.58 ! [A_1,B] :
% 40.33/40.58 ( A_1 = B
% 40.33/40.58 <=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.59 & hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_126_subset__refl,axiom,
% 40.33/40.59 ! [A_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),A_1)) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_127_subset__refl,axiom,
% 40.33/40.59 ! [A_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),A_1)) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_128_rev__image__eqI,axiom,
% 40.33/40.59 ! [B_1,F,X_1,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.59 => ( B_1 = hAPP_H1344248906_pname(F,X_1)
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1))) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_129_rev__image__eqI,axiom,
% 40.33/40.59 ! [B_1,F,X_1,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.59 => ( B_1 = hAPP_p1842370726_state(F,X_1)
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,B_1),hAPP_f631639356e_bool(image_275883510_state(F),A_1))) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_130_imageI,axiom,
% 40.33/40.59 ! [F,X_1,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(F,X_1)),hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_131_imageI,axiom,
% 40.33/40.59 ! [F,X_1,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(F,X_1)),hAPP_f631639356e_bool(image_275883510_state(F),A_1))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_132_image__iff,axiom,
% 40.33/40.59 ! [Z,F,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,Z),hAPP_f631639356e_bool(image_275883510_state(F),A_1)))
% 40.33/40.59 <=> ? [X_2] :
% 40.33/40.59 ( is_pname(X_2)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.33/40.59 & Z = hAPP_p1842370726_state(F,X_2) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_133_finite__Collect__disjI,axiom,
% 40.33/40.59 ! [P_1,Q_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),P_1)),Q_1))))
% 40.33/40.59 <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,P_1)))
% 40.33/40.59 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,Q_1))) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_134_finite__Collect__disjI,axiom,
% 40.33/40.59 ! [P_1,Q_1] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),P_1)),Q_1))))
% 40.33/40.59 <=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,P_1)))
% 40.33/40.59 & hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,Q_1))) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_135_finite__Collect__disjI,axiom,
% 40.33/40.59 ! [P_1,Q_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),P_1)),Q_1))))
% 40.33/40.59 <=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,P_1)))
% 40.33/40.59 & hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,Q_1))) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_136_finite__Collect__disjI,axiom,
% 40.33/40.59 ! [P_1,Q_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),P_1)),Q_1))))
% 40.33/40.59 <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,P_1)))
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,Q_1))) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_137_insert__compr__raw,axiom,
% 40.33/40.59 ! [X_2,Xa] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),Xa) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X_2))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),Xa))) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_138_insert__compr__raw,axiom,
% 40.33/40.59 ! [X_2,Xa] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_2),Xa) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X_2))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),Xa))) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_139_insert__compr__raw,axiom,
% 40.33/40.59 ! [X_2,Xa] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_2),Xa) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X_2))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),Xa))) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_140_insert__compr__raw,axiom,
% 40.33/40.59 ! [X_2,Xa] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_2),Xa) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X_2))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),Xa))) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_141_singleton__inject,axiom,
% 40.33/40.59 ! [A,B_1] :
% 40.33/40.59 ( ( is_pname(A)
% 40.33/40.59 & is_pname(B_1) )
% 40.33/40.59 => ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_1),bot_bo844097828e_bool)
% 40.33/40.59 => A = B_1 ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_142_singleton__inject,axiom,
% 40.33/40.59 ! [A,B_1] :
% 40.33/40.59 ( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,B_1),bot_bo1055319631e_bool)
% 40.33/40.59 => A = B_1 ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_143_singletonE,axiom,
% 40.33/40.59 ! [B_1,A] :
% 40.33/40.59 ( ( is_pname(B_1)
% 40.33/40.59 & is_pname(A) )
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool)))
% 40.33/40.59 => B_1 = A ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_144_singletonE,axiom,
% 40.33/40.59 ! [B_1,A] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,B_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool)))
% 40.33/40.59 => B_1 = A ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_145_doubleton__eq__iff,axiom,
% 40.33/40.59 ! [A,B_1,C,D] :
% 40.33/40.59 ( ( is_pname(A)
% 40.33/40.59 & is_pname(B_1)
% 40.33/40.59 & is_pname(C)
% 40.33/40.59 & is_pname(D) )
% 40.33/40.59 => ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_1),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,C),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,D),bot_bo844097828e_bool))
% 40.33/40.59 <=> ( ( A = C
% 40.33/40.59 & B_1 = D )
% 40.33/40.59 | ( A = D
% 40.33/40.59 & B_1 = C ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_146_doubleton__eq__iff,axiom,
% 40.33/40.59 ! [A,B_1,C,D] :
% 40.33/40.59 ( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,B_1),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,C),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,D),bot_bo1055319631e_bool))
% 40.33/40.59 <=> ( ( A = C
% 40.33/40.59 & B_1 = D )
% 40.33/40.59 | ( A = D
% 40.33/40.59 & B_1 = C ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_147_singleton__iff,axiom,
% 40.33/40.59 ! [B_1,A] :
% 40.33/40.59 ( ( is_pname(B_1)
% 40.33/40.59 & is_pname(A) )
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool)))
% 40.33/40.59 <=> B_1 = A ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_148_singleton__iff,axiom,
% 40.33/40.59 ! [B_1,A] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,B_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool)))
% 40.33/40.59 <=> B_1 = A ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_149_insert__not__empty,axiom,
% 40.33/40.59 ! [A,A_1] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),A_1) != bot_bo844097828e_bool ).
% 40.33/40.59
% 40.33/40.59 fof(fact_150_insert__not__empty,axiom,
% 40.33/40.59 ! [A,A_1] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1) != bot_bo1055319631e_bool ).
% 40.33/40.59
% 40.33/40.59 fof(fact_151_empty__not__insert,axiom,
% 40.33/40.59 ! [A,A_1] : bot_bo844097828e_bool != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),A_1) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_152_empty__not__insert,axiom,
% 40.33/40.59 ! [A,A_1] : bot_bo1055319631e_bool != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_153_finite__insert,axiom,
% 40.33/40.59 ! [A,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),A_1)))
% 40.33/40.59 <=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_154_finite__insert,axiom,
% 40.33/40.59 ! [A,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),A_1)))
% 40.33/40.59 <=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1)) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_155_finite__insert,axiom,
% 40.33/40.59 ! [A,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),A_1)))
% 40.33/40.59 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_156_finite__insert,axiom,
% 40.33/40.59 ! [A,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1)))
% 40.33/40.59 <=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1)) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_157_subset__empty,axiom,
% 40.33/40.59 ! [A_1] :
% 40.33/40.59 ( is_fun_pname_bool(A_1)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),bot_bo844097828e_bool))
% 40.33/40.59 <=> A_1 = bot_bo844097828e_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_158_subset__empty,axiom,
% 40.33/40.59 ! [A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),bot_bo1055319631e_bool))
% 40.33/40.59 <=> A_1 = bot_bo1055319631e_bool ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_159_image__is__empty,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1) = bot_bo844097828e_bool
% 40.33/40.59 <=> A_1 = bot_bo1055319631e_bool ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_160_image__is__empty,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( is_fun_pname_bool(A_1)
% 40.33/40.59 => ( hAPP_f631639356e_bool(image_275883510_state(F),A_1) = bot_bo1055319631e_bool
% 40.33/40.59 <=> A_1 = bot_bo844097828e_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_161_image__empty,axiom,
% 40.33/40.59 ! [F] : hAPP_f1745235422e_bool(image_1925245338_pname(F),bot_bo1055319631e_bool) = bot_bo844097828e_bool ).
% 40.33/40.59
% 40.33/40.59 fof(fact_162_image__empty,axiom,
% 40.33/40.59 ! [F] : hAPP_f631639356e_bool(image_275883510_state(F),bot_bo844097828e_bool) = bot_bo1055319631e_bool ).
% 40.33/40.59
% 40.33/40.59 fof(fact_163_empty__is__image,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( bot_bo844097828e_bool = hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)
% 40.33/40.59 <=> A_1 = bot_bo1055319631e_bool ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_164_empty__is__image,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( is_fun_pname_bool(A_1)
% 40.33/40.59 => ( bot_bo1055319631e_bool = hAPP_f631639356e_bool(image_275883510_state(F),A_1)
% 40.33/40.59 <=> A_1 = bot_bo844097828e_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_165_finite__subset,axiom,
% 40.33/40.59 ! [A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 40.33/40.59 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_166_finite__subset,axiom,
% 40.33/40.59 ! [A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,A_1),B))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B))
% 40.33/40.59 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_167_finite__subset,axiom,
% 40.33/40.59 ! [A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_168_finite__subset,axiom,
% 40.33/40.59 ! [A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_169_rev__finite__subset,axiom,
% 40.33/40.59 ! [A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B))
% 40.33/40.59 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_170_rev__finite__subset,axiom,
% 40.33/40.59 ! [A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,A_1),B))
% 40.33/40.59 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_171_rev__finite__subset,axiom,
% 40.33/40.59 ! [A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_172_rev__finite__subset,axiom,
% 40.33/40.59 ! [A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_173_insert__mono,axiom,
% 40.33/40.59 ! [A,C_1,D_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),D_1))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),C_1)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),D_1))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_174_insert__mono,axiom,
% 40.33/40.59 ! [A,C_1,D_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C_1),D_1))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),C_1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),D_1))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_175_mem__def,axiom,
% 40.33/40.59 ! [X_1,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.59 <=> hBOOL(hAPP_pname_bool(A_1,X_1)) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_176_mem__def,axiom,
% 40.33/40.59 ! [X_1,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.59 <=> hBOOL(hAPP_H513860823e_bool(A_1,X_1)) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_177_Collect__def,axiom,
% 40.33/40.59 ! [P_1] : hAPP_f921536533e_bool(collec727977250_state,P_1) = P_1 ).
% 40.33/40.59
% 40.33/40.59 fof(fact_178_Collect__def,axiom,
% 40.33/40.59 ! [P_1] :
% 40.33/40.59 ( is_fun_pname_bool(P_1)
% 40.33/40.59 => hAPP_f759274231e_bool(collect_pname,P_1) = P_1 ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_179_Collect__def,axiom,
% 40.33/40.59 ! [P_1] :
% 40.33/40.59 ( is_fun1661590463l_bool(P_1)
% 40.33/40.59 => hAPP_f559147733l_bool(collec1974731493e_bool,P_1) = P_1 ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_180_Collect__def,axiom,
% 40.33/40.59 ! [P_1] : hAPP_f1970439265l_bool(collec111528142e_bool,P_1) = P_1 ).
% 40.33/40.59
% 40.33/40.59 fof(fact_181_subset__insertI2,axiom,
% 40.33/40.59 ! [B_1,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_1),B))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_182_subset__insertI2,axiom,
% 40.33/40.59 ! [B_1,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,B_1),B))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_183_subset__insert,axiom,
% 40.33/40.59 ! [B,X_1,A_1] :
% 40.33/40.59 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))
% 40.33/40.59 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_184_subset__insert,axiom,
% 40.33/40.59 ! [B,X_1,A_1] :
% 40.33/40.59 ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),B)))
% 40.33/40.59 <=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_185_insert__subset,axiom,
% 40.33/40.59 ! [X_1,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1)),B))
% 40.33/40.59 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_186_insert__subset,axiom,
% 40.33/40.59 ! [X_1,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1)),B))
% 40.33/40.59 <=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),B))
% 40.33/40.59 & hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_187_subset__insertI,axiom,
% 40.33/40.59 ! [B,A] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B))) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_188_subset__insertI,axiom,
% 40.33/40.59 ! [B,A] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B))) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_189_insert__image,axiom,
% 40.33/40.59 ! [F,X_1,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.33/40.59 => hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(F,X_1)),hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)) = hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_190_insert__image,axiom,
% 40.33/40.59 ! [F,X_1,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.33/40.59 => hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(F,X_1)),hAPP_f631639356e_bool(image_275883510_state(F),A_1)) = hAPP_f631639356e_bool(image_275883510_state(F),A_1) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_191_image__insert,axiom,
% 40.33/40.59 ! [F,A,B] : hAPP_f1745235422e_bool(image_1925245338_pname(F),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(F,A)),hAPP_f1745235422e_bool(image_1925245338_pname(F),B)) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_192_image__insert,axiom,
% 40.33/40.59 ! [F,A,B] : hAPP_f631639356e_bool(image_275883510_state(F),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(F,A)),hAPP_f631639356e_bool(image_275883510_state(F),B)) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_193_image__mono,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)),hAPP_f1745235422e_bool(image_1925245338_pname(F),B))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_194_image__mono,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(F),A_1)),hAPP_f631639356e_bool(image_275883510_state(F),B))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_195_subset__image__iff,axiom,
% 40.33/40.59 ! [B,F,A_1] :
% 40.33/40.59 ( is_fun_pname_bool(B)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)))
% 40.33/40.59 <=> ? [AA] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,AA),A_1))
% 40.33/40.59 & B = hAPP_f1745235422e_bool(image_1925245338_pname(F),AA) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_196_subset__image__iff,axiom,
% 40.33/40.59 ! [B,F,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f631639356e_bool(image_275883510_state(F),A_1)))
% 40.33/40.59 <=> ? [AA] :
% 40.33/40.59 ( is_fun_pname_bool(AA)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A_1))
% 40.33/40.59 & B = hAPP_f631639356e_bool(image_275883510_state(F),AA) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_197_domI,axiom,
% 40.33/40.59 ! [M_1,A,B_1] :
% 40.33/40.59 ( hAPP_p799580910on_com(M_1,A) = some_com(B_1)
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),dom_pname_com(M_1))) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_198_Collect__conv__if,axiom,
% 40.33/40.59 ! [P_1,A] :
% 40.33/40.59 ( ( hBOOL(hAPP_pname_bool(P_1,A))
% 40.33/40.59 => hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),A))),P_1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool) )
% 40.33/40.59 & ( ~ hBOOL(hAPP_pname_bool(P_1,A))
% 40.33/40.59 => hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),A))),P_1)) = bot_bo844097828e_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_199_Collect__conv__if,axiom,
% 40.33/40.59 ! [P_1,A] :
% 40.33/40.59 ( ( hBOOL(hAPP_f1664156314l_bool(P_1,A))
% 40.33/40.59 => hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),A))),P_1)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),bot_bo1649642514l_bool) )
% 40.33/40.59 & ( ~ hBOOL(hAPP_f1664156314l_bool(P_1,A))
% 40.33/40.59 => hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),A))),P_1)) = bot_bo1649642514l_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_200_Collect__conv__if,axiom,
% 40.33/40.59 ! [P_1,A] :
% 40.33/40.59 ( ( hBOOL(hAPP_f1760790145l_bool(P_1,A))
% 40.33/40.59 => hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),A))),P_1)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),bot_bo1325454745l_bool) )
% 40.33/40.59 & ( ~ hBOOL(hAPP_f1760790145l_bool(P_1,A))
% 40.33/40.59 => hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),A))),P_1)) = bot_bo1325454745l_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_201_Collect__conv__if,axiom,
% 40.33/40.59 ! [P_1,A] :
% 40.33/40.59 ( ( hBOOL(hAPP_H513860823e_bool(P_1,A))
% 40.33/40.59 => hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),A))),P_1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool) )
% 40.33/40.59 & ( ~ hBOOL(hAPP_H513860823e_bool(P_1,A))
% 40.33/40.59 => hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),A))),P_1)) = bot_bo1055319631e_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_202_Collect__conv__if2,axiom,
% 40.33/40.59 ! [P_1,A] :
% 40.33/40.59 ( ( hBOOL(hAPP_pname_bool(P_1,A))
% 40.33/40.59 => hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,A))),P_1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool) )
% 40.33/40.59 & ( ~ hBOOL(hAPP_pname_bool(P_1,A))
% 40.33/40.59 => hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,A))),P_1)) = bot_bo844097828e_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_203_Collect__conv__if2,axiom,
% 40.33/40.59 ! [P_1,A] :
% 40.33/40.59 ( ( hBOOL(hAPP_f1664156314l_bool(P_1,A))
% 40.33/40.59 => hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,A))),P_1)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),bot_bo1649642514l_bool) )
% 40.33/40.59 & ( ~ hBOOL(hAPP_f1664156314l_bool(P_1,A))
% 40.33/40.59 => hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,A))),P_1)) = bot_bo1649642514l_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_204_Collect__conv__if2,axiom,
% 40.33/40.59 ! [P_1,A] :
% 40.33/40.59 ( ( hBOOL(hAPP_f1760790145l_bool(P_1,A))
% 40.33/40.59 => hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,A))),P_1)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),bot_bo1325454745l_bool) )
% 40.33/40.59 & ( ~ hBOOL(hAPP_f1760790145l_bool(P_1,A))
% 40.33/40.59 => hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,A))),P_1)) = bot_bo1325454745l_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_205_Collect__conv__if2,axiom,
% 40.33/40.59 ! [P_1,A] :
% 40.33/40.59 ( ( hBOOL(hAPP_H513860823e_bool(P_1,A))
% 40.33/40.59 => hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,A))),P_1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool) )
% 40.33/40.59 & ( ~ hBOOL(hAPP_H513860823e_bool(P_1,A))
% 40.33/40.59 => hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,A))),P_1)) = bot_bo1055319631e_bool ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_206_singleton__conv,axiom,
% 40.33/40.59 ! [A] : hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),A)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_207_singleton__conv,axiom,
% 40.33/40.59 ! [A] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),A)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),bot_bo1649642514l_bool) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_208_singleton__conv,axiom,
% 40.33/40.59 ! [A] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),A)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),bot_bo1325454745l_bool) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_209_singleton__conv,axiom,
% 40.33/40.59 ! [A] : hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),A)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_210_singleton__conv2,axiom,
% 40.33/40.59 ! [A] : hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,A)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_211_singleton__conv2,axiom,
% 40.33/40.59 ! [A] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(fequal533582459e_bool,A)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),bot_bo1649642514l_bool) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_212_singleton__conv2,axiom,
% 40.33/40.59 ! [A] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(fequal1746921144e_bool,A)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),bot_bo1325454745l_bool) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_213_singleton__conv2,axiom,
% 40.33/40.59 ! [A] : hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,A)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_214_MGF__lemma1,axiom,
% 40.33/40.59 ! [C,G_1] :
% 40.33/40.59 ( hBOOL(hoare_298929751gleton)
% 40.33/40.59 => ( ! [X_2] :
% 40.33/40.59 ( is_pname(X_2)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),dom_pname_com(body)))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X_2))),bot_bo1055319631e_bool))) ) )
% 40.33/40.59 => ( hBOOL(hAPP_com_bool(wt,C))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,C)),bot_bo1055319631e_bool))) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_215_WT__bodiesD,axiom,
% 40.33/40.59 ! [Pn,B_4] :
% 40.33/40.59 ( hBOOL(wT_bodies)
% 40.33/40.59 => ( hAPP_p799580910on_com(body,Pn) = some_com(B_4)
% 40.33/40.59 => hBOOL(hAPP_com_bool(wt,B_4)) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_216_imageE,axiom,
% 40.33/40.59 ! [B_1,F,A_1] :
% 40.33/40.59 ( is_pname(B_1)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)))
% 40.33/40.59 => ~ ! [X_2] :
% 40.33/40.59 ( B_1 = hAPP_H1344248906_pname(F,X_2)
% 40.33/40.59 => ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1)) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_217_imageE,axiom,
% 40.33/40.59 ! [B_1,F,A_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,B_1),hAPP_f631639356e_bool(image_275883510_state(F),A_1)))
% 40.33/40.59 => ~ ! [X_2] :
% 40.33/40.59 ( is_pname(X_2)
% 40.33/40.59 => ( B_1 = hAPP_p1842370726_state(F,X_2)
% 40.33/40.59 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1)) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_218_finite__subset__induct,axiom,
% 40.33/40.59 ! [P_1,A_1,Fa] :
% 40.33/40.59 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,Fa),A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(P_1,bot_bo1649642514l_bool))
% 40.33/40.59 => ( ! [A_3,F_1] :
% 40.33/40.59 ( ( is_fun_pname_bool(A_3)
% 40.33/40.59 & is_fun1661590463l_bool(F_1) )
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_3),A_1))
% 40.33/40.59 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_3),F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(P_1,F_1))
% 40.33/40.59 => hBOOL(hAPP_f1935102916l_bool(P_1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_3),F_1))) ) ) ) ) )
% 40.33/40.59 => hBOOL(hAPP_f1935102916l_bool(P_1,Fa)) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_219_finite__subset__induct,axiom,
% 40.33/40.59 ! [P_1,A_1,Fa] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,Fa))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,Fa),A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(P_1,bot_bo1325454745l_bool))
% 40.33/40.59 => ( ! [A_3,F_1] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,A_3),A_1))
% 40.33/40.59 => ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,A_3),F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(P_1,F_1))
% 40.33/40.59 => hBOOL(hAPP_f239102607l_bool(P_1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A_3),F_1))) ) ) ) )
% 40.33/40.59 => hBOOL(hAPP_f239102607l_bool(P_1,Fa)) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_220_finite__subset__induct,axiom,
% 40.33/40.59 ! [P_1,A_1,Fa] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Fa),A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(P_1,bot_bo844097828e_bool))
% 40.33/40.59 => ( ! [A_3,F_1] :
% 40.33/40.59 ( ( is_pname(A_3)
% 40.33/40.59 & is_fun_pname_bool(F_1) )
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1))
% 40.33/40.59 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(P_1,F_1))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(P_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_3),F_1))) ) ) ) ) )
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(P_1,Fa)) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_221_finite__subset__induct,axiom,
% 40.33/40.59 ! [P_1,A_1,Fa] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,Fa))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Fa),A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(P_1,bot_bo1055319631e_bool))
% 40.33/40.59 => ( ! [A_3,F_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A_3),A_1))
% 40.33/40.59 => ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A_3),F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(P_1,F_1))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(P_1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A_3),F_1))) ) ) ) )
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(P_1,Fa)) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_222_WTs__elim__cases_I7_J,axiom,
% 40.33/40.59 ! [P] :
% 40.33/40.59 ( hBOOL(hAPP_com_bool(wt,hAPP_pname_com(body_1,P)))
% 40.33/40.59 => ~ ! [Y_2] : hAPP_p799580910on_com(body,P) != some_com(Y_2) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_223_subsetI,axiom,
% 40.33/40.59 ! [B,A_1] :
% 40.33/40.59 ( ! [X_2] :
% 40.33/40.59 ( is_pname(X_2)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) )
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B)) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_224_subsetI,axiom,
% 40.33/40.59 ! [B,A_1] :
% 40.33/40.59 ( ! [X_2] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),B)) )
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B)) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_225_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f780887186e_bool(image_936554724_state(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( is_fun1661590463l_bool(C_3)
% 40.33/40.59 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_3))
% 40.33/40.59 & B = hAPP_f780887186e_bool(image_936554724_state(F),C_3) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_226_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f772567431e_bool(image_774712299_state(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,C_3))
% 40.33/40.59 & B = hAPP_f772567431e_bool(image_774712299_state(F),C_3) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_227_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( is_fun_pname_bool(B)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f674760225e_bool(image_1283814551_pname(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( is_fun1661590463l_bool(C_3)
% 40.33/40.59 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_3))
% 40.33/40.59 & B = hAPP_f674760225e_bool(image_1283814551_pname(F),C_3) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_228_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( is_fun_pname_bool(B)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f280588268e_bool(image_636285904_pname(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,C_3))
% 40.33/40.59 & B = hAPP_f280588268e_bool(image_636285904_pname(F),C_3) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_229_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( is_fun1661590463l_bool(B)
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),hAPP_f748867288l_bool(image_1259634916e_bool(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1760790145l_bool(finite784854244_state,C_3))
% 40.33/40.59 & B = hAPP_f748867288l_bool(image_1259634916e_bool(F),C_3) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_230_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,B),hAPP_f854625363l_bool(image_277167759e_bool(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1760790145l_bool(finite784854244_state,C_3))
% 40.33/40.59 & B = hAPP_f854625363l_bool(image_277167759e_bool(F),C_3) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_231_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( is_fun_pname_bool(B)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1760790145l_bool(finite784854244_state,C_3))
% 40.33/40.59 & B = hAPP_f1745235422e_bool(image_1925245338_pname(F),C_3) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_232_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( is_fun1661590463l_bool(B)
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),hAPP_f434788991l_bool(image_47868345e_bool(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( is_fun_pname_bool(C_3)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_3))
% 40.33/40.59 & B = hAPP_f434788991l_bool(image_47868345e_bool(F),C_3) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_233_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,B),hAPP_f1874607724l_bool(image_505480954e_bool(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( is_fun_pname_bool(C_3)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_3))
% 40.33/40.59 & B = hAPP_f1874607724l_bool(image_505480954e_bool(F),C_3) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_234_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( is_fun_pname_bool(B)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f759274231e_bool(image_pname_pname(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( is_fun_pname_bool(C_3)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_3))
% 40.33/40.59 & B = hAPP_f759274231e_bool(image_pname_pname(F),C_3) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_235_finite__subset__image,axiom,
% 40.33/40.59 ! [F,A_1,B] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f631639356e_bool(image_275883510_state(F),A_1)))
% 40.33/40.59 => ? [C_3] :
% 40.33/40.59 ( is_fun_pname_bool(C_3)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_3),A_1))
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_3))
% 40.33/40.59 & B = hAPP_f631639356e_bool(image_275883510_state(F),C_3) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_236_finite__dom__body,axiom,
% 40.33/40.59 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_237_finite__induct,axiom,
% 40.33/40.59 ! [P_1,Fa] :
% 40.33/40.59 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(P_1,bot_bo1649642514l_bool))
% 40.33/40.59 => ( ! [X_2,F_1] :
% 40.33/40.59 ( ( is_fun_pname_bool(X_2)
% 40.33/40.59 & is_fun1661590463l_bool(F_1) )
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 40.33/40.59 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(P_1,F_1))
% 40.33/40.59 => hBOOL(hAPP_f1935102916l_bool(P_1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_2),F_1))) ) ) ) )
% 40.33/40.59 => hBOOL(hAPP_f1935102916l_bool(P_1,Fa)) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_238_finite__induct,axiom,
% 40.33/40.59 ! [P_1,Fa] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,Fa))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(P_1,bot_bo1325454745l_bool))
% 40.33/40.59 => ( ! [X_2,F_1] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,F_1))
% 40.33/40.59 => ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_2),F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(P_1,F_1))
% 40.33/40.59 => hBOOL(hAPP_f239102607l_bool(P_1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_2),F_1))) ) ) )
% 40.33/40.59 => hBOOL(hAPP_f239102607l_bool(P_1,Fa)) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_239_finite__induct,axiom,
% 40.33/40.59 ! [P_1,Fa] :
% 40.33/40.59 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(P_1,bot_bo844097828e_bool))
% 40.33/40.59 => ( ! [X_2,F_1] :
% 40.33/40.59 ( ( is_pname(X_2)
% 40.33/40.59 & is_fun_pname_bool(F_1) )
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 40.33/40.59 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(P_1,F_1))
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(P_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),F_1))) ) ) ) )
% 40.33/40.59 => hBOOL(hAPP_f1664156314l_bool(P_1,Fa)) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_240_finite__induct,axiom,
% 40.33/40.59 ! [P_1,Fa] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,Fa))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(P_1,bot_bo1055319631e_bool))
% 40.33/40.59 => ( ! [X_2,F_1] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,F_1))
% 40.33/40.59 => ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),F_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(P_1,F_1))
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(P_1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_2),F_1))) ) ) )
% 40.33/40.59 => hBOOL(hAPP_f1760790145l_bool(P_1,Fa)) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_241_finite_Osimps,axiom,
% 40.33/40.59 ! [A] :
% 40.33/40.59 ( is_fun1661590463l_bool(A)
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))
% 40.33/40.59 <=> ( A = bot_bo1649642514l_bool
% 40.33/40.59 | ? [A_4,A_3] :
% 40.33/40.59 ( is_fun1661590463l_bool(A_4)
% 40.33/40.59 & is_fun_pname_bool(A_3)
% 40.33/40.59 & A = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_3),A_4)
% 40.33/40.59 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_4)) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_242_finite_Osimps,axiom,
% 40.33/40.59 ! [A] :
% 40.33/40.59 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A))
% 40.33/40.59 <=> ( A = bot_bo1325454745l_bool
% 40.33/40.59 | ? [A_4,A_3] :
% 40.33/40.59 ( A = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A_3),A_4)
% 40.33/40.59 & hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_4)) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_243_finite_Osimps,axiom,
% 40.33/40.59 ! [A] :
% 40.33/40.59 ( is_fun_pname_bool(A)
% 40.33/40.59 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))
% 40.33/40.59 <=> ( A = bot_bo844097828e_bool
% 40.33/40.59 | ? [A_4,A_3] :
% 40.33/40.59 ( is_fun_pname_bool(A_4)
% 40.33/40.59 & is_pname(A_3)
% 40.33/40.59 & A = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_3),A_4)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_4)) ) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_244_finite_Osimps,axiom,
% 40.33/40.59 ! [A] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A))
% 40.33/40.59 <=> ( A = bot_bo1055319631e_bool
% 40.33/40.59 | ? [A_4,A_3] :
% 40.33/40.59 ( A = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A_3),A_4)
% 40.33/40.59 & hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_4)) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_245_pigeonhole__infinite,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(F),A_1)))
% 40.33/40.59 => ? [X_2] :
% 40.33/40.59 ( is_pname(X_2)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.33/40.59 & ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),A_1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),F)),hAPP_p61793385e_bool(F,X_2)))))) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_246_pigeonhole__infinite,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(F),A_1)))
% 40.33/40.59 => ? [X_2] :
% 40.33/40.59 ( is_pname(X_2)
% 40.33/40.59 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.33/40.59 & ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),A_1))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),F)),hAPP_p877885514e_bool(F,X_2)))))) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_247_pigeonhole__infinite,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(F),A_1)))
% 40.33/40.59 => ? [X_2] :
% 40.33/40.59 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.33/40.59 & ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),A_1))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),F)),hAPP_H563960305_state(F,X_2)))))) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_248_pigeonhole__infinite,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(F),A_1)))
% 40.33/40.59 => ? [X_2] :
% 40.33/40.59 ( is_fun_pname_bool(X_2)
% 40.33/40.59 & hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A_1))
% 40.33/40.59 & ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),A_1))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),F)),hAPP_f1308959284_state(F,X_2)))))) ) ) ) ).
% 40.33/40.59
% 40.33/40.59 fof(fact_249_pigeonhole__infinite,axiom,
% 40.33/40.59 ! [F,A_1] :
% 40.33/40.59 ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.33/40.59 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(F),A_1)))
% 40.33/40.59 => ? [X_2] :
% 40.33/40.60 ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_2),A_1))
% 40.33/40.60 & ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),A_1))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),F)),hAPP_f2143211163_state(F,X_2)))))) ) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_250_pigeonhole__infinite,axiom,
% 40.33/40.60 ! [F,A_1] :
% 40.33/40.60 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(F),A_1)))
% 40.33/40.60 => ? [X_2] :
% 40.33/40.60 ( is_pname(X_2)
% 40.33/40.60 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.33/40.60 & ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),A_1))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),F)),hAPP_pname_pname(F,X_2)))))) ) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_251_pigeonhole__infinite,axiom,
% 40.33/40.60 ! [F,A_1] :
% 40.33/40.60 ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)))
% 40.33/40.60 => ? [X_2] :
% 40.33/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.33/40.60 & ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),A_1))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),F)),hAPP_H1344248906_pname(F,X_2)))))) ) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_252_pigeonhole__infinite,axiom,
% 40.33/40.60 ! [F,A_1] :
% 40.33/40.60 ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.33/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(F),A_1)))
% 40.33/40.60 => ? [X_2] :
% 40.33/40.60 ( is_fun_pname_bool(X_2)
% 40.33/40.60 & hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A_1))
% 40.33/40.60 & ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),A_1))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),F)),hAPP_f1297739591_pname(F,X_2)))))) ) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_253_pigeonhole__infinite,axiom,
% 40.33/40.60 ! [F,A_1] :
% 40.33/40.60 ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.33/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(F),A_1)))
% 40.33/40.60 => ? [X_2] :
% 40.33/40.60 ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_2),A_1))
% 40.33/40.60 & ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),A_1))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),F)),hAPP_f1008690464_pname(F,X_2)))))) ) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_254_pigeonhole__infinite,axiom,
% 40.33/40.60 ! [F,A_1] :
% 40.33/40.60 ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.60 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(F),A_1)))
% 40.33/40.60 => ? [X_2] :
% 40.33/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.33/40.60 & ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),A_1))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),F)),hAPP_H1632039476e_bool(F,X_2)))))) ) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_255_pigeonhole__infinite,axiom,
% 40.33/40.60 ! [F,A_1] :
% 40.33/40.60 ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.33/40.60 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(F),A_1)))
% 40.33/40.60 => ? [X_2] :
% 40.33/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.33/40.60 & ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),A_1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),F)),hAPP_H1645666623e_bool(F,X_2)))))) ) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_256_pigeonhole__infinite,axiom,
% 40.33/40.60 ! [F,A_1] :
% 40.33/40.60 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.33/40.60 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(F),A_1)))
% 40.33/40.60 => ? [X_2] :
% 40.33/40.60 ( is_pname(X_2)
% 40.33/40.60 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.33/40.60 & ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),A_1))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),F)),hAPP_p1842370726_state(F,X_2)))))) ) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_257_com_Osimps_I6_J,axiom,
% 40.33/40.60 ! [Pname_2,Pname_1] :
% 40.33/40.60 ( ( is_pname(Pname_2)
% 40.33/40.60 & is_pname(Pname_1) )
% 40.33/40.60 => ( hAPP_pname_com(body_1,Pname_2) = hAPP_pname_com(body_1,Pname_1)
% 40.33/40.60 <=> Pname_2 = Pname_1 ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_258_MGT__Body,axiom,
% 40.33/40.60 ! [G_1,Procs] :
% 40.33/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),Procs))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),Procs)))
% 40.33/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Procs))
% 40.33/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),Procs))) ) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_259_domD,axiom,
% 40.33/40.60 ! [A,M_1] :
% 40.33/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),dom_pname_com(M_1)))
% 40.33/40.60 => ? [B_3] : hAPP_p799580910on_com(M_1,A) = some_com(B_3) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_260_the__elem__eq,axiom,
% 40.33/40.60 ! [X_1] :
% 40.33/40.60 ( is_pname(X_1)
% 40.33/40.60 => hAPP_f1297739591_pname(the_elem_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = X_1 ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_261_the__elem__eq,axiom,
% 40.33/40.60 ! [X_1] : hAPP_f2143211163_state(the_el23965208_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)) = X_1 ).
% 40.33/40.60
% 40.33/40.60 fof(fact_262_image__subsetI,axiom,
% 40.33/40.60 ! [F,B,A_1] :
% 40.33/40.60 ( ! [X_2] :
% 40.33/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.33/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(F,X_2)),B)) )
% 40.33/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(F),A_1)),B)) ) ).
% 40.33/40.60
% 40.33/40.60 fof(fact_263_image__subsetI,axiom,
% 40.48/40.60 ! [F,B,A_1] :
% 40.48/40.60 ( ! [X_2] :
% 40.48/40.60 ( is_pname(X_2)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(F,X_2)),B)) ) )
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(F),A_1)),B)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_264_order__refl,axiom,
% 40.48/40.60 ! [X_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),X_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_265_order__refl,axiom,
% 40.48/40.60 ! [X_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),X_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_266_nonempty__iff,axiom,
% 40.48/40.60 ! [A_1] :
% 40.48/40.60 ( is_fun_pname_bool(A_1)
% 40.48/40.60 => ( A_1 != bot_bo844097828e_bool
% 40.48/40.60 <=> ? [X_2,B_2] :
% 40.48/40.60 ( is_pname(X_2)
% 40.48/40.60 & is_fun_pname_bool(B_2)
% 40.48/40.60 & A_1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),B_2)
% 40.48/40.60 & ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B_2)) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_267_nonempty__iff,axiom,
% 40.48/40.60 ! [A_1] :
% 40.48/40.60 ( A_1 != bot_bo1055319631e_bool
% 40.48/40.60 <=> ? [X_2,B_2] :
% 40.48/40.60 ( A_1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_2),B_2)
% 40.48/40.60 & ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),B_2)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_268_the_Osimps,axiom,
% 40.48/40.60 ! [X_4] : hAPP_option_com_com(the_com,some_com(X_4)) = X_4 ).
% 40.48/40.60
% 40.48/40.60 fof(fact_269_weak__Body,axiom,
% 40.48/40.60 ! [G_1,P_1,Pn_1,Q_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,Pn_1))),Q_1)),bot_bo1055319631e_bool)))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),hAPP_pname_com(body_1,Pn_1)),Q_1)),bot_bo1055319631e_bool))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_270_UnCI,axiom,
% 40.48/40.60 ! [A_1,C,B] :
% 40.48/40.60 ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1)) )
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_271_UnCI,axiom,
% 40.48/40.60 ! [A_1,C,B] :
% 40.48/40.60 ( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1)) )
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_272_UnE,axiom,
% 40.48/40.60 ! [C,A_1,B] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B)))
% 40.48/40.60 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_273_UnE,axiom,
% 40.48/40.60 ! [C,A_1,B] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)))
% 40.48/40.60 => ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_274_Collect__disj__eq,axiom,
% 40.48/40.60 ! [P_1,Q_1] : hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),P_1)),Q_1)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,P_1)),hAPP_f759274231e_bool(collect_pname,Q_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_275_Collect__disj__eq,axiom,
% 40.48/40.60 ! [P_1,Q_1] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),P_1)),Q_1)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,P_1)),hAPP_f559147733l_bool(collec1974731493e_bool,Q_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_276_Collect__disj__eq,axiom,
% 40.48/40.60 ! [P_1,Q_1] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),P_1)),Q_1)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,P_1)),hAPP_f1970439265l_bool(collec111528142e_bool,Q_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_277_Collect__disj__eq,axiom,
% 40.48/40.60 ! [P_1,Q_1] : hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),P_1)),Q_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,P_1)),hAPP_f921536533e_bool(collec727977250_state,Q_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_278_triple_Oinject,axiom,
% 40.48/40.60 ! [Fun1_2,Com_2,Fun2_2,Fun1_1,Com_1,Fun2_1] :
% 40.48/40.60 ( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,Fun1_2),Com_2),Fun2_2) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,Fun1_1),Com_1),Fun2_1)
% 40.48/40.60 <=> ( Fun1_2 = Fun1_1
% 40.48/40.60 & Com_2 = Com_1
% 40.48/40.60 & Fun2_2 = Fun2_1 ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_279_UnI2,axiom,
% 40.48/40.60 ! [A_1,C,B] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_280_UnI2,axiom,
% 40.48/40.60 ! [A_1,C,B] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_281_UnI1,axiom,
% 40.48/40.60 ! [B,C,A_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_282_UnI1,axiom,
% 40.48/40.60 ! [B,C,A_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_283_ball__Un,axiom,
% 40.48/40.60 ! [P_1,A_1,B] :
% 40.48/40.60 ( ! [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(P_1,X_2)) )
% 40.48/40.60 <=> ( ! [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(P_1,X_2)) )
% 40.48/40.60 & ! [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),B))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(P_1,X_2)) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_284_bex__Un,axiom,
% 40.48/40.60 ! [P_1,A_1,B] :
% 40.48/40.60 ( ? [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)))
% 40.48/40.60 & hBOOL(hAPP_H513860823e_bool(P_1,X_2)) )
% 40.48/40.60 <=> ( ? [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.48/40.60 & hBOOL(hAPP_H513860823e_bool(P_1,X_2)) )
% 40.48/40.60 | ? [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),B))
% 40.48/40.60 & hBOOL(hAPP_H513860823e_bool(P_1,X_2)) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_285_Un__assoc,axiom,
% 40.48/40.60 ! [A_1,B,C_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)),C_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),C_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_286_Un__iff,axiom,
% 40.48/40.60 ! [C,A_1,B] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B)))
% 40.48/40.60 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.48/40.60 | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_287_Un__iff,axiom,
% 40.48/40.60 ! [C,A_1,B] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)))
% 40.48/40.60 <=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.48/40.60 | hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_288_Un__left__commute,axiom,
% 40.48/40.60 ! [A_1,B,C_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),C_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),C_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_289_Un__left__absorb,axiom,
% 40.48/40.60 ! [A_1,B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_290_Un__commute,axiom,
% 40.48/40.60 ! [A_1,B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),A_1) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_291_Un__def,axiom,
% 40.48/40.60 ! [A_1,B] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),A_1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),B))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_292_Un__def,axiom,
% 40.48/40.60 ! [A_1,B] : hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,A_1),B) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),A_1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),B))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_293_Un__def,axiom,
% 40.48/40.60 ! [A_1,B] : hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,A_1),B) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),A_1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),B))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_294_Un__def,axiom,
% 40.48/40.60 ! [A_1,B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),A_1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),B))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_295_Un__absorb,axiom,
% 40.48/40.60 ! [A_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),A_1) = A_1 ).
% 40.48/40.60
% 40.48/40.60 fof(fact_296_Un__empty,axiom,
% 40.48/40.60 ! [A_1,B] :
% 40.48/40.60 ( ( is_fun_pname_bool(A_1)
% 40.48/40.60 & is_fun_pname_bool(B) )
% 40.48/40.60 => ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B) = bot_bo844097828e_bool
% 40.48/40.60 <=> ( A_1 = bot_bo844097828e_bool
% 40.48/40.60 & B = bot_bo844097828e_bool ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_297_Un__empty,axiom,
% 40.48/40.60 ! [A_1,B] :
% 40.48/40.60 ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B) = bot_bo1055319631e_bool
% 40.48/40.60 <=> ( A_1 = bot_bo1055319631e_bool
% 40.48/40.60 & B = bot_bo1055319631e_bool ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_298_Un__empty__right,axiom,
% 40.48/40.60 ! [A_1] :
% 40.48/40.60 ( is_fun_pname_bool(A_1)
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),bot_bo844097828e_bool) = A_1 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_299_Un__empty__right,axiom,
% 40.48/40.60 ! [A_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),bot_bo1055319631e_bool) = A_1 ).
% 40.48/40.60
% 40.48/40.60 fof(fact_300_Un__empty__left,axiom,
% 40.48/40.60 ! [B] :
% 40.48/40.60 ( is_fun_pname_bool(B)
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),B) = B ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_301_Un__empty__left,axiom,
% 40.48/40.60 ! [B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),B) = B ).
% 40.48/40.60
% 40.48/40.60 fof(fact_302_finite__UnI,axiom,
% 40.48/40.60 ! [G_1,Fa] :
% 40.48/40.60 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,G_1))
% 40.48/40.60 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,Fa),G_1))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_303_finite__UnI,axiom,
% 40.48/40.60 ! [G_1,Fa] :
% 40.48/40.60 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,G_1))
% 40.48/40.60 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,Fa),G_1))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_304_finite__UnI,axiom,
% 40.48/40.60 ! [G_1,Fa] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,G_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,Fa),G_1))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_305_finite__UnI,axiom,
% 40.48/40.60 ! [G_1,Fa] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,G_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Fa),G_1))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_306_finite__Un,axiom,
% 40.48/40.60 ! [Fa,G_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,Fa),G_1)))
% 40.48/40.60 <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 40.48/40.60 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,G_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_307_finite__Un,axiom,
% 40.48/40.60 ! [Fa,G_1] :
% 40.48/40.60 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,Fa),G_1)))
% 40.48/40.60 <=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,Fa))
% 40.48/40.60 & hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,G_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_308_finite__Un,axiom,
% 40.48/40.60 ! [Fa,G_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,Fa),G_1)))
% 40.48/40.60 <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.48/40.60 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,G_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_309_finite__Un,axiom,
% 40.48/40.60 ! [Fa,G_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Fa),G_1)))
% 40.48/40.60 <=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,Fa))
% 40.48/40.60 & hBOOL(hAPP_f1760790145l_bool(finite784854244_state,G_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_310_Un__insert__left,axiom,
% 40.48/40.60 ! [A,B,C_1] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)),C_1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,B),C_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_311_Un__insert__left,axiom,
% 40.48/40.60 ! [A,B,C_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)),C_1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),C_1)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_312_Un__insert__right,axiom,
% 40.48/40.60 ! [A_1,A,B] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_313_Un__insert__right,axiom,
% 40.48/40.60 ! [A_1,A,B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_314_Un__mono,axiom,
% 40.48/40.60 ! [B,D_1,A_1,C_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),C_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),D_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,C_1),D_1))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_315_Un__mono,axiom,
% 40.48/40.60 ! [B,D_1,A_1,C_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),C_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),D_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,C_1),D_1))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_316_Un__least,axiom,
% 40.48/40.60 ! [B,A_1,C_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),C_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),C_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B)),C_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_317_Un__least,axiom,
% 40.48/40.60 ! [B,A_1,C_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),C_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),C_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)),C_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_318_Un__absorb2,axiom,
% 40.48/40.60 ! [B,A_1] :
% 40.48/40.60 ( is_fun_pname_bool(A_1)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A_1))
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B) = A_1 ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_319_Un__absorb2,axiom,
% 40.48/40.60 ! [B,A_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),A_1))
% 40.48/40.60 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B) = A_1 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_320_Un__absorb1,axiom,
% 40.48/40.60 ! [A_1,B] :
% 40.48/40.60 ( is_fun_pname_bool(B)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B) = B ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_321_Un__absorb1,axiom,
% 40.48/40.60 ! [A_1,B] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.48/40.60 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B) = B ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_322_subset__Un__eq,axiom,
% 40.48/40.60 ! [A_1,B] :
% 40.48/40.60 ( is_fun_pname_bool(B)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.48/40.60 <=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B) = B ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_323_subset__Un__eq,axiom,
% 40.48/40.60 ! [A_1,B] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.48/40.60 <=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B) = B ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_324_Un__upper2,axiom,
% 40.48/40.60 ! [B,A_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_325_Un__upper2,axiom,
% 40.48/40.60 ! [B,A_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_326_Un__upper1,axiom,
% 40.48/40.60 ! [A_1,B] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_327_Un__upper1,axiom,
% 40.48/40.60 ! [A_1,B] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_328_image__Un,axiom,
% 40.48/40.60 ! [F,A_1,B] : hAPP_f631639356e_bool(image_275883510_state(F),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(F),A_1)),hAPP_f631639356e_bool(image_275883510_state(F),B)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_329_insert__def,axiom,
% 40.48/40.60 ! [A,B] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),A))),B) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_330_insert__def,axiom,
% 40.48/40.60 ! [A,B] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),A))),B) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_331_insert__def,axiom,
% 40.48/40.60 ! [A,B] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),B) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),A))),B) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_332_insert__def,axiom,
% 40.48/40.60 ! [A,B] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,A),B) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),A))),B) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_333_insert__is__Un,axiom,
% 40.48/40.60 ! [A,A_1] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),A_1) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool)),A_1) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_334_insert__is__Un,axiom,
% 40.48/40.60 ! [A,A_1] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool)),A_1) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_335_hoare__derivs_OBody,axiom,
% 40.48/40.60 ! [G_1,P_1,Q_1,Procs] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),body_1)),Q_1)),Procs))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),Q_1)),Procs)))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),body_1)),Q_1)),Procs))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_336_xt1_I6_J,axiom,
% 40.48/40.60 ! [Z,Y_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z),Y_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_337_xt1_I6_J,axiom,
% 40.48/40.60 ! [Z,Y_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Z),Y_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Z),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_338_xt1_I5_J,axiom,
% 40.48/40.60 ! [Y_1,X_1] :
% 40.48/40.60 ( ( is_fun_pname_bool(Y_1)
% 40.48/40.60 & is_fun_pname_bool(X_1) )
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.60 => X_1 = Y_1 ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_339_xt1_I5_J,axiom,
% 40.48/40.60 ! [Y_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.60 => X_1 = Y_1 ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_340_order__trans,axiom,
% 40.48/40.60 ! [Z,X_1,Y_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),Z))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Z)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_341_order__trans,axiom,
% 40.48/40.60 ! [Z,X_1,Y_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),Z))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Z)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_342_order__antisym,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( ( is_fun_pname_bool(X_1)
% 40.48/40.60 & is_fun_pname_bool(Y_1) )
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),X_1))
% 40.48/40.60 => X_1 = Y_1 ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_343_order__antisym,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),X_1))
% 40.48/40.60 => X_1 = Y_1 ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_344_xt1_I4_J,axiom,
% 40.48/40.60 ! [C,B_1,A] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),A))
% 40.48/40.60 => ( B_1 = C
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C),A)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_345_xt1_I4_J,axiom,
% 40.48/40.60 ! [C,B_1,A] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B_1),A))
% 40.48/40.60 => ( B_1 = C
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C),A)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_346_ord__le__eq__trans,axiom,
% 40.48/40.60 ! [C,A,B_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B_1))
% 40.48/40.60 => ( B_1 = C
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),C)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_347_ord__le__eq__trans,axiom,
% 40.48/40.60 ! [C,A,B_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),B_1))
% 40.48/40.60 => ( B_1 = C
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),C)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_348_xt1_I3_J,axiom,
% 40.48/40.60 ! [C,A,B_1] :
% 40.48/40.60 ( A = B_1
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C),B_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C),A)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_349_xt1_I3_J,axiom,
% 40.48/40.60 ! [C,A,B_1] :
% 40.48/40.60 ( A = B_1
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C),B_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C),A)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_350_ord__eq__le__trans,axiom,
% 40.48/40.60 ! [C,A,B_1] :
% 40.48/40.60 ( A = B_1
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),C))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),C)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_351_ord__eq__le__trans,axiom,
% 40.48/40.60 ! [C,A,B_1] :
% 40.48/40.60 ( A = B_1
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B_1),C))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),C)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_352_order__antisym__conv,axiom,
% 40.48/40.60 ! [Y_1,X_1] :
% 40.48/40.60 ( ( is_fun_pname_bool(Y_1)
% 40.48/40.60 & is_fun_pname_bool(X_1) )
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.60 <=> X_1 = Y_1 ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_353_order__antisym__conv,axiom,
% 40.48/40.60 ! [Y_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.60 <=> X_1 = Y_1 ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_354_order__eq__refl,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( X_1 = Y_1
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_355_order__eq__refl,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( X_1 = Y_1
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_356_order__eq__iff,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( ( is_fun_pname_bool(X_1)
% 40.48/40.60 & is_fun_pname_bool(Y_1) )
% 40.48/40.60 => ( X_1 = Y_1
% 40.48/40.60 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.60 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),X_1)) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_357_order__eq__iff,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( X_1 = Y_1
% 40.48/40.60 <=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.60 & hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_358_option_Oinject,axiom,
% 40.48/40.60 ! [A,A_2] :
% 40.48/40.60 ( some_com(A) = some_com(A_2)
% 40.48/40.60 <=> A = A_2 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_359_constant,axiom,
% 40.48/40.60 ! [G_1,P_1,C,Q_1,C_1] :
% 40.48/40.60 ( ( hBOOL(C_1)
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_1)),bot_bo1055319631e_bool))) )
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),P_1))),C_1)),C),Q_1)),bot_bo1055319631e_bool))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_360_Body1,axiom,
% 40.48/40.60 ! [Pn_1,G_1,P_1,Q_1,Procs] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),body_1)),Q_1)),Procs))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),Q_1)),Procs)))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Pn_1),Procs))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(P_1,Pn_1)),hAPP_pname_com(body_1,Pn_1)),hAPP_p1637813682e_bool(Q_1,Pn_1))),bot_bo1055319631e_bool))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_361_le__bot,axiom,
% 40.48/40.60 ! [A] :
% 40.48/40.60 ( is_fun_pname_bool(A)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),bot_bo844097828e_bool))
% 40.48/40.60 => A = bot_bo844097828e_bool ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_362_le__bot,axiom,
% 40.48/40.60 ! [A] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),bot_bo1055319631e_bool))
% 40.48/40.60 => A = bot_bo1055319631e_bool ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_363_bot__unique,axiom,
% 40.48/40.60 ! [A] :
% 40.48/40.60 ( is_fun_pname_bool(A)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),bot_bo844097828e_bool))
% 40.48/40.60 <=> A = bot_bo844097828e_bool ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_364_bot__unique,axiom,
% 40.48/40.60 ! [A] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),bot_bo1055319631e_bool))
% 40.48/40.60 <=> A = bot_bo1055319631e_bool ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_365_bot__least,axiom,
% 40.48/40.60 ! [A] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_366_bot__least,axiom,
% 40.48/40.60 ! [A] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),A)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_367_le__funE,axiom,
% 40.48/40.60 ! [X_1,F,G] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G))
% 40.48/40.60 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(F,X_1)),hAPP_pname_bool(G,X_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_368_le__funE,axiom,
% 40.48/40.60 ! [X_1,F,G] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,F),G))
% 40.48/40.60 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(F,X_1)),hAPP_H513860823e_bool(G,X_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_369_le__funD,axiom,
% 40.48/40.60 ! [X_1,F,G] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G))
% 40.48/40.60 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(F,X_1)),hAPP_pname_bool(G,X_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_370_le__funD,axiom,
% 40.48/40.60 ! [X_1,F,G] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,F),G))
% 40.48/40.60 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(F,X_1)),hAPP_H513860823e_bool(G,X_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_371_le__fun__def,axiom,
% 40.48/40.60 ! [F,G] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G))
% 40.48/40.60 <=> ! [X_2] :
% 40.48/40.60 ( is_pname(X_2)
% 40.48/40.60 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(F,X_2)),hAPP_pname_bool(G,X_2))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_372_le__fun__def,axiom,
% 40.48/40.60 ! [F,G] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,F),G))
% 40.48/40.60 <=> ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(F,X_2)),hAPP_H513860823e_bool(G,X_2))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_373_bot__apply,axiom,
% 40.48/40.60 ! [X_1] :
% 40.48/40.60 ( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_1))
% 40.48/40.60 <=> hBOOL(bot_bot_bool) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_374_bot__apply,axiom,
% 40.48/40.60 ! [X_1] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X_1))
% 40.48/40.60 <=> hBOOL(bot_bot_bool) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_375_bot__fun__def,axiom,
% 40.48/40.60 ! [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_2))
% 40.48/40.60 <=> hBOOL(bot_bot_bool) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_376_bot__fun__def,axiom,
% 40.48/40.60 ! [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X_2))
% 40.48/40.60 <=> hBOOL(bot_bot_bool) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_377_BodyN,axiom,
% 40.48/40.60 ! [P_1,Pn_1,Q_1,G_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),hAPP_pname_com(body_1,Pn_1)),Q_1)),G_1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,Pn_1))),Q_1)),bot_bo1055319631e_bool)))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),hAPP_pname_com(body_1,Pn_1)),Q_1)),bot_bo1055319631e_bool))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_378_finite__pointwise,axiom,
% 40.48/40.60 ! [P_1,Q_1,G_1,P_2,C0_1,Q_2,U_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,U_1))
% 40.48/40.60 => ( ! [P_3] :
% 40.48/40.60 ( is_pname(P_3)
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(P_2,P_3)),hAPP_pname_com(C0_1,P_3)),hAPP_p1637813682e_bool(Q_2,P_3))),bot_bo1055319631e_bool)))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(P_1,P_3)),hAPP_pname_com(C0_1,P_3)),hAPP_p1637813682e_bool(Q_1,P_3))),bot_bo1055319631e_bool))) ) )
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_2)),C0_1)),Q_2)),U_1)))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),C0_1)),Q_1)),U_1))) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_379_escape,axiom,
% 40.48/40.60 ! [G_1,C,Q_1,P_1] :
% 40.48/40.60 ( ! [Z_2,S_3] :
% 40.48/40.60 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(P_1,Z_2),S_3))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,cOMBK_631994958_state(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),S_3))),C),cOMBK_631994958_state(hAPP_s1806633685e_bool(Q_1,Z_2)))),bot_bo1055319631e_bool))) )
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_1)),bot_bo1055319631e_bool))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_380_Body__sound__lemma,axiom,
% 40.48/40.60 ! [G_1,P_1,Q_1,Procs] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),body_1)),Q_1)),Procs))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),Q_1)),Procs)))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(G_1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),P_1)),body_1)),Q_1)),Procs))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_381_conseq1,axiom,
% 40.48/40.60 ! [P_1,G_1,P_2,C,Q_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_2),C),Q_1)),bot_bo1055319631e_bool)))
% 40.48/40.60 => ( ! [Z_2,S_3] :
% 40.48/40.60 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(P_1,Z_2),S_3))
% 40.48/40.60 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(P_2,Z_2),S_3)) )
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_1)),bot_bo1055319631e_bool))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_382_conseq2,axiom,
% 40.48/40.60 ! [Q_1,G_1,P_1,C,Q_2] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_2)),bot_bo1055319631e_bool)))
% 40.48/40.60 => ( ! [Z_2,S_3] :
% 40.48/40.60 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Q_2,Z_2),S_3))
% 40.48/40.60 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Q_1,Z_2),S_3)) )
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_1)),bot_bo1055319631e_bool))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_383_MGF__complete,axiom,
% 40.48/40.60 ! [P_1,Q_1,C] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,C)),bot_bo1055319631e_bool)))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_1)),bot_bo1055319631e_bool)))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_1)),bot_bo1055319631e_bool))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_384_sup1E,axiom,
% 40.48/40.60 ! [A_1,B,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B),X_1))
% 40.48/40.60 => ( ~ hBOOL(hAPP_H513860823e_bool(A_1,X_1))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(B,X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_385_sup1CI,axiom,
% 40.48/40.60 ! [A_1,B,X_1] :
% 40.48/40.60 ( ( ~ hBOOL(hAPP_H513860823e_bool(B,X_1))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(A_1,X_1)) )
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B),X_1)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_386_hoare__sound,axiom,
% 40.48/40.60 ! [G_1,Ts] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),Ts))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(G_1),Ts)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_387_bot__empty__eq,axiom,
% 40.48/40.60 ! [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_2))
% 40.48/40.60 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),bot_bo844097828e_bool)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_388_bot__empty__eq,axiom,
% 40.48/40.60 ! [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X_2))
% 40.48/40.60 <=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),bot_bo1055319631e_bool)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_389_rev__predicate1D,axiom,
% 40.48/40.60 ! [Q_1,P_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_pname_bool(P_1,X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,P_1),Q_1))
% 40.48/40.60 => hBOOL(hAPP_pname_bool(Q_1,X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_390_rev__predicate1D,axiom,
% 40.48/40.60 ! [Q_1,P_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(P_1,X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,P_1),Q_1))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(Q_1,X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_391_predicate1D,axiom,
% 40.48/40.60 ! [X_1,P_1,Q_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,P_1),Q_1))
% 40.48/40.60 => ( hBOOL(hAPP_pname_bool(P_1,X_1))
% 40.48/40.60 => hBOOL(hAPP_pname_bool(Q_1,X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_392_predicate1D,axiom,
% 40.48/40.60 ! [X_1,P_1,Q_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,P_1),Q_1))
% 40.48/40.60 => ( hBOOL(hAPP_H513860823e_bool(P_1,X_1))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(Q_1,X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_393_sup1I2,axiom,
% 40.48/40.60 ! [A_1,B,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(B,X_1))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B),X_1)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_394_sup1I1,axiom,
% 40.48/40.60 ! [B,A_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(A_1,X_1))
% 40.48/40.60 => hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B),X_1)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_395_pred__subset__eq,axiom,
% 40.48/40.60 ! [R_1,S] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),R_1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),S)))
% 40.48/40.60 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,R_1),S)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_396_pred__subset__eq,axiom,
% 40.48/40.60 ! [R_1,S] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),R_1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),S)))
% 40.48/40.60 <=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,R_1),S)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_397_sup__Un__eq,axiom,
% 40.48/40.60 ! [R_1,S,X_2] :
% 40.48/40.60 ( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),R_1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),S)),X_2))
% 40.48/40.60 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,R_1),S))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_398_sup__Un__eq,axiom,
% 40.48/40.60 ! [R_1,S,X_2] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),R_1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),S)),X_2))
% 40.48/40.60 <=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,R_1),S))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_399_conseq12,axiom,
% 40.48/40.60 ! [Q_1,P_1,G_1,P_2,C,Q_2] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_2),C),Q_2)),bot_bo1055319631e_bool)))
% 40.48/40.60 => ( ! [Z_2,S_3] :
% 40.48/40.60 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(P_1,Z_2),S_3))
% 40.48/40.60 => ! [S_4] :
% 40.48/40.60 ( ! [Z_3] :
% 40.48/40.60 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(P_2,Z_3),S_3))
% 40.48/40.60 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Q_2,Z_3),S_4)) )
% 40.48/40.60 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(Q_1,Z_2),S_4)) ) )
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_1)),bot_bo1055319631e_bool))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_400_le__funI,axiom,
% 40.48/40.60 ! [F,G] :
% 40.48/40.60 ( ! [X_2] :
% 40.48/40.60 ( is_pname(X_2)
% 40.48/40.60 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(F,X_2)),hAPP_pname_bool(G,X_2))) )
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_401_le__funI,axiom,
% 40.48/40.60 ! [F,G] :
% 40.48/40.60 ( ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(F,X_2)),hAPP_H513860823e_bool(G,X_2)))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,F),G)) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_402_Option_Oset_Osimps_I2_J,axiom,
% 40.48/40.60 ! [X_1] : set_pname(some_pname(X_1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_403_Option_Oset_Osimps_I2_J,axiom,
% 40.48/40.60 ! [X_1] : set_Ho1831989999_state(some_H1133819688_state(X_1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_404_Option_Oset_Osimps_I2_J,axiom,
% 40.48/40.60 ! [X_1] : set_com(some_com(X_1)) = hAPP_f1682609283m_bool(hAPP_c566651504m_bool(insert_com,X_1),bot_bot_fun_com_bool) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_405_elem__set,axiom,
% 40.48/40.60 ! [X_1,Xo] :
% 40.48/40.60 ( is_option_pname(Xo)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),set_pname(Xo)))
% 40.48/40.60 <=> Xo = some_pname(X_1) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_406_elem__set,axiom,
% 40.48/40.60 ! [X_1,Xo] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),set_Ho1831989999_state(Xo)))
% 40.48/40.60 <=> Xo = some_H1133819688_state(X_1) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_407_elem__set,axiom,
% 40.48/40.60 ! [X_1,Xo] :
% 40.48/40.60 ( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X_1),set_com(Xo)))
% 40.48/40.60 <=> Xo = some_com(X_1) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_408_ospec,axiom,
% 40.48/40.60 ! [X_1,P_1,A_1] :
% 40.48/40.60 ( ! [X_2] :
% 40.48/40.60 ( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X_2),set_com(A_1)))
% 40.48/40.60 => hBOOL(hAPP_com_bool(P_1,X_2)) )
% 40.48/40.60 => ( A_1 = some_com(X_1)
% 40.48/40.60 => hBOOL(hAPP_com_bool(P_1,X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_409_sup__fun__def,axiom,
% 40.48/40.60 ! [F,G,X_2] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,F),G),X_2))
% 40.48/40.60 <=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(F,X_2)),hAPP_H513860823e_bool(G,X_2))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_410_sup__apply,axiom,
% 40.48/40.60 ! [F,G,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,F),G),X_1))
% 40.48/40.60 <=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(F,X_1)),hAPP_H513860823e_bool(G,X_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_411_single__stateE,axiom,
% 40.48/40.60 ( hBOOL(hoare_298929751gleton)
% 40.48/40.60 => ! [T_2] :
% 40.48/40.60 ~ ! [S_3] : S_3 = T_2 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_412_state__not__singleton__def,axiom,
% 40.48/40.60 ( hBOOL(hoare_298929751gleton)
% 40.48/40.60 <=> ? [S_3,T_2] : S_3 != T_2 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_413_sup__assoc,axiom,
% 40.48/40.60 ! [X_1,Y_1,Z] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)),Z) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_414_inf__sup__aci_I6_J,axiom,
% 40.48/40.60 ! [X_1,Y_1,Z] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)),Z) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_415_sup_Oassoc,axiom,
% 40.48/40.60 ! [A,B_1,C] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1)),C) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B_1),C)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_416_sup__left__commute,axiom,
% 40.48/40.60 ! [X_1,Y_1,Z] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Z)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_417_inf__sup__aci_I7_J,axiom,
% 40.48/40.60 ! [X_1,Y_1,Z] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Z)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_418_sup_Oleft__commute,axiom,
% 40.48/40.60 ! [B_1,A,C] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),C)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B_1),C)) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_419_sup__left__idem,axiom,
% 40.48/40.60 ! [X_1,Y_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_420_inf__sup__aci_I8_J,axiom,
% 40.48/40.60 ! [X_1,Y_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_421_sup_Oleft__idem,axiom,
% 40.48/40.60 ! [A,B_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_422_sup__commute,axiom,
% 40.48/40.60 ! [X_1,Y_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),X_1) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_423_inf__sup__aci_I5_J,axiom,
% 40.48/40.60 ! [X_1,Y_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),X_1) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_424_sup_Ocommute,axiom,
% 40.48/40.60 ! [A,B_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B_1),A) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_425_sup__idem,axiom,
% 40.48/40.60 ! [X_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),X_1) = X_1 ).
% 40.48/40.60
% 40.48/40.60 fof(fact_426_sup_Oidem,axiom,
% 40.48/40.60 ! [A] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),A) = A ).
% 40.48/40.60
% 40.48/40.60 fof(fact_427_le__supE,axiom,
% 40.48/40.60 ! [A,B_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A),B_1)),X_1))
% 40.48/40.60 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),X_1))
% 40.48/40.60 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_428_le__supE,axiom,
% 40.48/40.60 ! [A,B_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1)),X_1))
% 40.48/40.60 => ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),X_1))
% 40.48/40.60 => ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B_1),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_429_sup__mono,axiom,
% 40.48/40.60 ! [B_1,D,A,C] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),C))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),D))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A),B_1)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,C),D))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_430_sup__mono,axiom,
% 40.48/40.60 ! [B_1,D,A,C] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),C))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B_1),D))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,C),D))) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_431_sup__least,axiom,
% 40.48/40.60 ! [Z,Y_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z),X_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,Y_1),Z)),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_432_sup__least,axiom,
% 40.48/40.60 ! [Z,Y_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Z),X_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_433_le__supI,axiom,
% 40.48/40.60 ! [B_1,A,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),X_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A),B_1)),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_434_le__supI,axiom,
% 40.48/40.60 ! [B_1,A,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),X_1))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B_1),X_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1)),X_1)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_435_sup__absorb1,axiom,
% 40.48/40.60 ! [Y_1,X_1] :
% 40.48/40.60 ( is_fun_pname_bool(X_1)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),X_1))
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1) = X_1 ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_436_sup__absorb1,axiom,
% 40.48/40.60 ! [Y_1,X_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),X_1))
% 40.48/40.60 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1) = X_1 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_437_sup__absorb2,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( is_fun_pname_bool(Y_1)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1) = Y_1 ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_438_sup__absorb2,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.60 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1) = Y_1 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_439_le__supI2,axiom,
% 40.48/40.60 ! [A,X_1,B_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),B_1))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A),B_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_440_le__supI2,axiom,
% 40.48/40.60 ! [A,X_1,B_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),B_1))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_441_le__supI1,axiom,
% 40.48/40.60 ! [B_1,X_1,A] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),A))
% 40.48/40.60 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A),B_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_442_le__supI1,axiom,
% 40.48/40.60 ! [B_1,X_1,A] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),A))
% 40.48/40.60 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A),B_1))) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_443_le__sup__iff,axiom,
% 40.48/40.60 ! [X_1,Y_1,Z] :
% 40.48/40.60 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1)),Z))
% 40.48/40.60 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Z))
% 40.48/40.60 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),Z)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_444_le__sup__iff,axiom,
% 40.48/40.60 ! [X_1,Y_1,Z] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)),Z))
% 40.48/40.60 <=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Z))
% 40.48/40.60 & hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),Z)) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_445_le__iff__sup,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( is_fun_pname_bool(Y_1)
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.60 <=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1) = Y_1 ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_446_le__iff__sup,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.60 <=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1) = Y_1 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_447_sup__ge2,axiom,
% 40.48/40.60 ! [Y_1,X_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_448_sup__ge2,axiom,
% 40.48/40.60 ! [Y_1,X_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_449_inf__sup__ord_I4_J,axiom,
% 40.48/40.60 ! [Y_1,X_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_450_inf__sup__ord_I4_J,axiom,
% 40.48/40.60 ! [Y_1,X_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_451_sup__ge1,axiom,
% 40.48/40.60 ! [X_1,Y_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_452_sup__ge1,axiom,
% 40.48/40.60 ! [X_1,Y_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_453_inf__sup__ord_I3_J,axiom,
% 40.48/40.60 ! [X_1,Y_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_454_inf__sup__ord_I3_J,axiom,
% 40.48/40.60 ! [X_1,Y_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_455_sup__eq__bot__iff,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( ( is_fun_pname_bool(X_1)
% 40.48/40.60 & is_fun_pname_bool(Y_1) )
% 40.48/40.60 => ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1) = bot_bo844097828e_bool
% 40.48/40.60 <=> ( X_1 = bot_bo844097828e_bool
% 40.48/40.60 & Y_1 = bot_bo844097828e_bool ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_456_sup__eq__bot__iff,axiom,
% 40.48/40.60 ! [X_1,Y_1] :
% 40.48/40.60 ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1) = bot_bo1055319631e_bool
% 40.48/40.60 <=> ( X_1 = bot_bo1055319631e_bool
% 40.48/40.60 & Y_1 = bot_bo1055319631e_bool ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_457_sup__bot__right,axiom,
% 40.48/40.60 ! [X_1] :
% 40.48/40.60 ( is_fun_pname_bool(X_1)
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),bot_bo844097828e_bool) = X_1 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_458_sup__bot__right,axiom,
% 40.48/40.60 ! [X_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),bot_bo1055319631e_bool) = X_1 ).
% 40.48/40.60
% 40.48/40.60 fof(fact_459_sup__bot__left,axiom,
% 40.48/40.60 ! [X_1] :
% 40.48/40.60 ( is_fun_pname_bool(X_1)
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X_1) = X_1 ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_460_sup__bot__left,axiom,
% 40.48/40.60 ! [X_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X_1) = X_1 ).
% 40.48/40.60
% 40.48/40.60 fof(fact_461_folding__one__idem_Ounion__idem,axiom,
% 40.48/40.60 ! [B,A_1,F,Fa] :
% 40.48/40.60 ( ( is_fun1661590463l_bool(B)
% 40.48/40.60 & is_fun1661590463l_bool(A_1) )
% 40.48/40.60 => ( hBOOL(finite1268145088e_bool(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.60 => ( A_1 != bot_bo1649642514l_bool
% 40.48/40.60 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 40.48/40.60 => ( B != bot_bo1649642514l_bool
% 40.48/40.60 => hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,A_1),B)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,hAPP_f674760225e_bool(Fa,A_1)),hAPP_f674760225e_bool(Fa,B)) ) ) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_462_folding__one__idem_Ounion__idem,axiom,
% 40.48/40.60 ! [B,A_1,F,Fa] :
% 40.48/40.60 ( hBOOL(finite959343283e_bool(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.60 => ( A_1 != bot_bo1325454745l_bool
% 40.48/40.60 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B))
% 40.48/40.60 => ( B != bot_bo1325454745l_bool
% 40.48/40.60 => hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,A_1),B)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,hAPP_f772567431e_bool(Fa,A_1)),hAPP_f772567431e_bool(Fa,B)) ) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_463_folding__one__idem_Ounion__idem,axiom,
% 40.48/40.60 ! [B,A_1,F,Fa] :
% 40.48/40.60 ( ( is_fun_pname_bool(B)
% 40.48/40.60 & is_fun_pname_bool(A_1) )
% 40.48/40.60 => ( hBOOL(finite89670078_pname(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.60 => ( A_1 != bot_bo844097828e_bool
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.48/40.60 => ( B != bot_bo844097828e_bool
% 40.48/40.60 => hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(Fa,A_1)),hAPP_f1297739591_pname(Fa,B)) ) ) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_464_folding__one__idem_Ounion__idem,axiom,
% 40.48/40.60 ! [B,A_1,F,Fa] :
% 40.48/40.60 ( hBOOL(finite506823037_state(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.60 => ( A_1 != bot_bo1055319631e_bool
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B))
% 40.48/40.60 => ( B != bot_bo1055319631e_bool
% 40.48/40.60 => hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)) = hAPP_H563960305_state(hAPP_H521649881_state(F,hAPP_f2143211163_state(Fa,A_1)),hAPP_f2143211163_state(Fa,B)) ) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_465_folding__one__idem_Osubset__idem,axiom,
% 40.48/40.60 ! [B,A_1,F,Fa] :
% 40.48/40.60 ( is_fun1661590463l_bool(B)
% 40.48/40.60 => ( hBOOL(finite1268145088e_bool(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.60 => ( B != bot_bo1649642514l_bool
% 40.48/40.60 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),A_1))
% 40.48/40.60 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,hAPP_f674760225e_bool(Fa,B)),hAPP_f674760225e_bool(Fa,A_1)) = hAPP_f674760225e_bool(Fa,A_1) ) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_466_folding__one__idem_Osubset__idem,axiom,
% 40.48/40.60 ! [B,A_1,F,Fa] :
% 40.48/40.60 ( hBOOL(finite959343283e_bool(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.60 => ( B != bot_bo1325454745l_bool
% 40.48/40.60 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,B),A_1))
% 40.48/40.60 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,hAPP_f772567431e_bool(Fa,B)),hAPP_f772567431e_bool(Fa,A_1)) = hAPP_f772567431e_bool(Fa,A_1) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_467_folding__one__idem_Osubset__idem,axiom,
% 40.48/40.60 ! [B,A_1,F,Fa] :
% 40.48/40.60 ( is_fun_pname_bool(B)
% 40.48/40.60 => ( hBOOL(finite89670078_pname(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.60 => ( B != bot_bo844097828e_bool
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A_1))
% 40.48/40.60 => hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(Fa,B)),hAPP_f1297739591_pname(Fa,A_1)) = hAPP_f1297739591_pname(Fa,A_1) ) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_468_folding__one__idem_Osubset__idem,axiom,
% 40.48/40.60 ! [B,A_1,F,Fa] :
% 40.48/40.60 ( hBOOL(finite506823037_state(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.60 => ( B != bot_bo1055319631e_bool
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),A_1))
% 40.48/40.60 => hAPP_H563960305_state(hAPP_H521649881_state(F,hAPP_f2143211163_state(Fa,B)),hAPP_f2143211163_state(Fa,A_1)) = hAPP_f2143211163_state(Fa,A_1) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_469_hoare__derivs_OSkip,axiom,
% 40.48/40.60 ! [G_1,P_1] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),skip),P_1)),bot_bo1055319631e_bool))) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_470_folding__one__idem_Oinsert__idem,axiom,
% 40.48/40.60 ! [X_1,A_1,F,Fa] :
% 40.48/40.60 ( is_fun_pname_bool(A_1)
% 40.48/40.60 => ( hBOOL(finite89670078_pname(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.60 => ( A_1 != bot_bo844097828e_bool
% 40.48/40.60 => hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(Fa,A_1)) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_471_folding__one__idem_Oinsert__idem,axiom,
% 40.48/40.60 ! [X_1,A_1,F,Fa] :
% 40.48/40.60 ( hBOOL(finite506823037_state(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.60 => ( A_1 != bot_bo1055319631e_bool
% 40.48/40.60 => hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1)) = hAPP_H563960305_state(hAPP_H521649881_state(F,X_1),hAPP_f2143211163_state(Fa,A_1)) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_472_folding__one__idem_Oinsert__idem,axiom,
% 40.48/40.60 ! [X_1,A_1,F,Fa] :
% 40.48/40.60 ( is_fun1661590463l_bool(A_1)
% 40.48/40.60 => ( hBOOL(finite1268145088e_bool(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.60 => ( A_1 != bot_bo1649642514l_bool
% 40.48/40.60 => hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A_1)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,X_1),hAPP_f674760225e_bool(Fa,A_1)) ) ) ) ) ).
% 40.48/40.60
% 40.48/40.60 fof(fact_473_folding__one__idem_Oinsert__idem,axiom,
% 40.48/40.60 ! [X_1,A_1,F,Fa] :
% 40.48/40.60 ( hBOOL(finite959343283e_bool(F,Fa))
% 40.48/40.60 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.60 => ( A_1 != bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),A_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,X_1),hAPP_f772567431e_bool(Fa,A_1)) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_474_finite__ne__induct,axiom,
% 40.48/40.61 ! [P_1,Fa] :
% 40.48/40.61 ( is_fun_pname_bool(Fa)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.48/40.61 => ( Fa != bot_bo844097828e_bool
% 40.48/40.61 => ( ! [X_2] :
% 40.48/40.61 ( is_pname(X_2)
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(P_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),bot_bo844097828e_bool))) )
% 40.48/40.61 => ( ! [X_2,F_1] :
% 40.48/40.61 ( ( is_pname(X_2)
% 40.48/40.61 & is_fun_pname_bool(F_1) )
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
% 40.48/40.61 => ( F_1 != bot_bo844097828e_bool
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),F_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(P_1,F_1))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(P_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),F_1))) ) ) ) ) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(P_1,Fa)) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_475_finite__ne__induct,axiom,
% 40.48/40.61 ! [P_1,Fa] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,Fa))
% 40.48/40.61 => ( Fa != bot_bo1055319631e_bool
% 40.48/40.61 => ( ! [X_2] : hBOOL(hAPP_f1760790145l_bool(P_1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_2),bot_bo1055319631e_bool)))
% 40.48/40.61 => ( ! [X_2,F_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,F_1))
% 40.48/40.61 => ( F_1 != bot_bo1055319631e_bool
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),F_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(P_1,F_1))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(P_1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_2),F_1))) ) ) ) )
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(P_1,Fa)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_476_finite__ne__induct,axiom,
% 40.48/40.61 ! [P_1,Fa] :
% 40.48/40.61 ( is_fun1661590463l_bool(Fa)
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 40.48/40.61 => ( Fa != bot_bo1649642514l_bool
% 40.48/40.61 => ( ! [X_2] :
% 40.48/40.61 ( is_fun_pname_bool(X_2)
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(P_1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_2),bot_bo1649642514l_bool))) )
% 40.48/40.61 => ( ! [X_2,F_1] :
% 40.48/40.61 ( ( is_fun_pname_bool(X_2)
% 40.48/40.61 & is_fun1661590463l_bool(F_1) )
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))
% 40.48/40.61 => ( F_1 != bot_bo1649642514l_bool
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),F_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(P_1,F_1))
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(P_1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_2),F_1))) ) ) ) ) )
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(P_1,Fa)) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_477_finite__ne__induct,axiom,
% 40.48/40.61 ! [P_1,Fa] :
% 40.48/40.61 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,Fa))
% 40.48/40.61 => ( Fa != bot_bo1325454745l_bool
% 40.48/40.61 => ( ! [X_2] : hBOOL(hAPP_f239102607l_bool(P_1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_2),bot_bo1325454745l_bool)))
% 40.48/40.61 => ( ! [X_2,F_1] :
% 40.48/40.61 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,F_1))
% 40.48/40.61 => ( F_1 != bot_bo1325454745l_bool
% 40.48/40.61 => ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_2),F_1))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(P_1,F_1))
% 40.48/40.61 => hBOOL(hAPP_f239102607l_bool(P_1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_2),F_1))) ) ) ) )
% 40.48/40.61 => hBOOL(hAPP_f239102607l_bool(P_1,Fa)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_478_com_Osimps_I19_J,axiom,
% 40.48/40.61 ! [Pname] : hAPP_pname_com(body_1,Pname) != skip ).
% 40.48/40.61
% 40.48/40.61 fof(fact_479_com_Osimps_I18_J,axiom,
% 40.48/40.61 ! [Pname] : skip != hAPP_pname_com(body_1,Pname) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_480_WT_OSkip,axiom,
% 40.48/40.61 hBOOL(hAPP_com_bool(wt,skip)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_481_folding__one__idem_Oin__idem,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite89670078_pname(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.48/40.61 => hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(Fa,A_1)) = hAPP_f1297739591_pname(Fa,A_1) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_482_folding__one__idem_Oin__idem,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite506823037_state(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.48/40.61 => hAPP_H563960305_state(hAPP_H521649881_state(F,X_1),hAPP_f2143211163_state(Fa,A_1)) = hAPP_f2143211163_state(Fa,A_1) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_483_folding__one__idem_Oin__idem,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite1268145088e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,X_1),hAPP_f674760225e_bool(Fa,A_1)) = hAPP_f674760225e_bool(Fa,A_1) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_484_folding__one__idem_Oin__idem,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite959343283e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_1),A_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,X_1),hAPP_f772567431e_bool(Fa,A_1)) = hAPP_f772567431e_bool(Fa,A_1) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_485_folding__one__idem_Ohom__commute,axiom,
% 40.48/40.61 ! [N,H,F,Fa] :
% 40.48/40.61 ( is_fun1661590463l_bool(N)
% 40.48/40.61 => ( hBOOL(finite1268145088e_bool(F,Fa))
% 40.48/40.61 => ( ! [X_2,Y_2] :
% 40.48/40.61 ( ( is_fun_pname_bool(X_2)
% 40.48/40.61 & is_fun_pname_bool(Y_2) )
% 40.48/40.61 => hAPP_f759274231e_bool(H,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,X_2),Y_2)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,hAPP_f759274231e_bool(H,X_2)),hAPP_f759274231e_bool(H,Y_2)) )
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,N))
% 40.48/40.61 => ( N != bot_bo1649642514l_bool
% 40.48/40.61 => hAPP_f759274231e_bool(H,hAPP_f674760225e_bool(Fa,N)) = hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(image_2063528359e_bool(H),N)) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_486_folding__one__idem_Ohom__commute,axiom,
% 40.48/40.61 ! [N,H,F,Fa] :
% 40.48/40.61 ( hBOOL(finite959343283e_bool(F,Fa))
% 40.48/40.61 => ( ! [X_2,Y_2] : hAPP_f921536533e_bool(H,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,X_2),Y_2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,hAPP_f921536533e_bool(H,X_2)),hAPP_f921536533e_bool(H,Y_2))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,N))
% 40.48/40.61 => ( N != bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f921536533e_bool(H,hAPP_f772567431e_bool(Fa,N)) = hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(image_505022149e_bool(H),N)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_487_folding__one__idem_Ohom__commute,axiom,
% 40.48/40.61 ! [N,H,F,Fa] :
% 40.48/40.61 ( is_fun_pname_bool(N)
% 40.48/40.61 => ( hBOOL(finite89670078_pname(F,Fa))
% 40.48/40.61 => ( ! [X_2,Y_2] :
% 40.48/40.61 ( ( is_pname(X_2)
% 40.48/40.61 & is_pname(Y_2) )
% 40.48/40.61 => hAPP_pname_pname(H,hAPP_pname_pname(hAPP_p1170154830_pname(F,X_2),Y_2)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_pname_pname(H,X_2)),hAPP_pname_pname(H,Y_2)) )
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,N))
% 40.48/40.61 => ( N != bot_bo844097828e_bool
% 40.48/40.61 => hAPP_pname_pname(H,hAPP_f1297739591_pname(Fa,N)) = hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(image_pname_pname(H),N)) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_488_folding__one__idem_Ohom__commute,axiom,
% 40.48/40.61 ! [N,H,F,Fa] :
% 40.48/40.61 ( hBOOL(finite506823037_state(F,Fa))
% 40.48/40.61 => ( ! [X_2,Y_2] : hAPP_H563960305_state(H,hAPP_H563960305_state(hAPP_H521649881_state(F,X_2),Y_2)) = hAPP_H563960305_state(hAPP_H521649881_state(F,hAPP_H563960305_state(H,X_2)),hAPP_H563960305_state(H,Y_2))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,N))
% 40.48/40.61 => ( N != bot_bo1055319631e_bool
% 40.48/40.61 => hAPP_H563960305_state(H,hAPP_f2143211163_state(Fa,N)) = hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(image_650584225_state(H),N)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_489_LoopF,axiom,
% 40.48/40.61 ! [G_1,P_1,B_1,C] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),P_1))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),B_1))),while(B_1,C)),P_1)),bot_bo1055319631e_bool))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_490_Comp,axiom,
% 40.48/40.61 ! [D,R_1,G_1,P_1,C,Q_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),C),Q_1)),bot_bo1055319631e_bool)))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,Q_1),D),R_1)),bot_bo1055319631e_bool)))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,P_1),semi(C,D)),R_1)),bot_bo1055319631e_bool))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_491_the__elem__def,axiom,
% 40.48/40.61 ! [X_3] : hAPP_f1297739591_pname(the_elem_pname,X_3) = hAPP_f1297739591_pname(the_pname,hAPP_f42430548e_bool(cOMBB_530759491_pname(hAPP_f434788991l_bool(fequal533582459e_bool,X_3)),hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,insert_pname),bot_bo844097828e_bool))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_492_the__elem__def,axiom,
% 40.48/40.61 ! [X_3] : hAPP_f2143211163_state(the_el23965208_state,X_3) = hAPP_f2143211163_state(the_Ho10452358_state,hAPP_f1456107715e_bool(cOMBB_1653402815_state(hAPP_f854625363l_bool(fequal1746921144e_bool,X_3)),hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,insert1835143293_state),bot_bo1055319631e_bool))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_493_WTs__elim__cases_I6_J,axiom,
% 40.48/40.61 ! [B_1,C] :
% 40.48/40.61 ( hBOOL(hAPP_com_bool(wt,while(B_1,C)))
% 40.48/40.61 => hBOOL(hAPP_com_bool(wt,C)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_494_WTs__elim__cases_I4_J,axiom,
% 40.48/40.61 ! [C1,C2] :
% 40.48/40.61 ( hBOOL(hAPP_com_bool(wt,semi(C1,C2)))
% 40.48/40.61 => ~ ( hBOOL(hAPP_com_bool(wt,C1))
% 40.48/40.61 => ~ hBOOL(hAPP_com_bool(wt,C2)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_495_com_Osimps_I46_J,axiom,
% 40.48/40.61 ! [Com1_3,Com2_3,Fun,Com_1] : semi(Com1_3,Com2_3) != while(Fun,Com_1) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_496_com_Osimps_I47_J,axiom,
% 40.48/40.61 ! [Fun,Com_1,Com1_3,Com2_3] : while(Fun,Com_1) != semi(Com1_3,Com2_3) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_497_com_Osimps_I3_J,axiom,
% 40.48/40.61 ! [Com1_3,Com2_3,Com1_2,Com2_2] :
% 40.48/40.61 ( semi(Com1_3,Com2_3) = semi(Com1_2,Com2_2)
% 40.48/40.61 <=> ( Com1_3 = Com1_2
% 40.48/40.61 & Com2_3 = Com2_2 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_498_com_Osimps_I5_J,axiom,
% 40.48/40.61 ! [Fun_1,Com_2,Fun,Com_1] :
% 40.48/40.61 ( while(Fun_1,Com_2) = while(Fun,Com_1)
% 40.48/40.61 <=> ( Fun_1 = Fun
% 40.48/40.61 & Com_2 = Com_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_499_com_Osimps_I59_J,axiom,
% 40.48/40.61 ! [Pname_1,Fun_1,Com_2] : hAPP_pname_com(body_1,Pname_1) != while(Fun_1,Com_2) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_500_com_Osimps_I58_J,axiom,
% 40.48/40.61 ! [Fun_1,Com_2,Pname_1] : while(Fun_1,Com_2) != hAPP_pname_com(body_1,Pname_1) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_501_While,axiom,
% 40.48/40.61 ! [B_1,C] :
% 40.48/40.61 ( hBOOL(hAPP_com_bool(wt,C))
% 40.48/40.61 => hBOOL(hAPP_com_bool(wt,while(B_1,C))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_502_com_Osimps_I16_J,axiom,
% 40.48/40.61 ! [Fun,Com_1] : skip != while(Fun,Com_1) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_503_com_Osimps_I17_J,axiom,
% 40.48/40.61 ! [Fun,Com_1] : while(Fun,Com_1) != skip ).
% 40.48/40.61
% 40.48/40.61 fof(fact_504_com_Osimps_I49_J,axiom,
% 40.48/40.61 ! [Pname,Com1_1,Com2_1] : hAPP_pname_com(body_1,Pname) != semi(Com1_1,Com2_1) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_505_com_Osimps_I48_J,axiom,
% 40.48/40.61 ! [Com1_1,Com2_1,Pname] : semi(Com1_1,Com2_1) != hAPP_pname_com(body_1,Pname) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_506_WT_OSemi,axiom,
% 40.48/40.61 ! [C1,C0] :
% 40.48/40.61 ( hBOOL(hAPP_com_bool(wt,C0))
% 40.48/40.61 => ( hBOOL(hAPP_com_bool(wt,C1))
% 40.48/40.61 => hBOOL(hAPP_com_bool(wt,semi(C0,C1))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_507_com_Osimps_I12_J,axiom,
% 40.48/40.61 ! [Com1,Com2] : skip != semi(Com1,Com2) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_508_com_Osimps_I13_J,axiom,
% 40.48/40.61 ! [Com1,Com2] : semi(Com1,Com2) != skip ).
% 40.48/40.61
% 40.48/40.61 fof(fact_509_folding__one_Oinsert,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( is_fun_pname_bool(A_1)
% 40.48/40.61 => ( hBOOL(finite1282449217_pname(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.48/40.61 => ( A_1 != bot_bo844097828e_bool
% 40.48/40.61 => hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(Fa,A_1)) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_510_folding__one_Oinsert,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite774711482_state(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.48/40.61 => ( A_1 != bot_bo1055319631e_bool
% 40.48/40.61 => hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1)) = hAPP_H563960305_state(hAPP_H521649881_state(F,X_1),hAPP_f2143211163_state(Fa,A_1)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_511_folding__one_Oinsert,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( is_fun1661590463l_bool(A_1)
% 40.48/40.61 => ( hBOOL(finite1626890877e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A_1))
% 40.48/40.61 => ( A_1 != bot_bo1649642514l_bool
% 40.48/40.61 => hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A_1)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,X_1),hAPP_f674760225e_bool(Fa,A_1)) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_512_folding__one_Oinsert,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite132673334e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.61 => ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_1),A_1))
% 40.48/40.61 => ( A_1 != bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),A_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,X_1),hAPP_f772567431e_bool(Fa,A_1)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_513_folding__one_Osingleton,axiom,
% 40.48/40.61 ! [X_1,F,Fa] :
% 40.48/40.61 ( is_pname(X_1)
% 40.48/40.61 => ( hBOOL(finite1282449217_pname(F,Fa))
% 40.48/40.61 => hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = X_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_514_folding__one_Osingleton,axiom,
% 40.48/40.61 ! [X_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite774711482_state(F,Fa))
% 40.48/40.61 => hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)) = X_1 ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_515_folding__one_Oclosed,axiom,
% 40.48/40.61 ! [A_1,F,Fa] :
% 40.48/40.61 ( is_fun_pname_bool(A_1)
% 40.48/40.61 => ( hBOOL(finite1282449217_pname(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.61 => ( A_1 != bot_bo844097828e_bool
% 40.48/40.61 => ( ! [X_2,Y_2] :
% 40.48/40.61 ( ( is_pname(X_2)
% 40.48/40.61 & is_pname(Y_2) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(F,X_2),Y_2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,Y_2),bot_bo844097828e_bool)))) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(Fa,A_1)),A_1)) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_516_folding__one_Oclosed,axiom,
% 40.48/40.61 ! [A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite774711482_state(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.61 => ( A_1 != bot_bo1055319631e_bool
% 40.48/40.61 => ( ! [X_2,Y_2] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(F,X_2),Y_2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,Y_2),bot_bo1055319631e_bool))))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(Fa,A_1)),A_1)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_517_folding__one_Oclosed,axiom,
% 40.48/40.61 ! [A_1,F,Fa] :
% 40.48/40.61 ( is_fun1661590463l_bool(A_1)
% 40.48/40.61 => ( hBOOL(finite1626890877e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.61 => ( A_1 != bot_bo1649642514l_bool
% 40.48/40.61 => ( ! [X_2,Y_2] :
% 40.48/40.61 ( ( is_fun_pname_bool(X_2)
% 40.48/40.61 & is_fun_pname_bool(Y_2) )
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,X_2),Y_2)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_2),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,Y_2),bot_bo1649642514l_bool)))) )
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(Fa,A_1)),A_1)) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_518_folding__one_Oclosed,axiom,
% 40.48/40.61 ! [A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite132673334e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.61 => ( A_1 != bot_bo1325454745l_bool
% 40.48/40.61 => ( ! [X_2,Y_2] : hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,X_2),Y_2)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_2),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,Y_2),bot_bo1325454745l_bool))))
% 40.48/40.61 => hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(Fa,A_1)),A_1)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_519_triple_Oexhaust,axiom,
% 40.48/40.61 ! [Y_1] :
% 40.48/40.61 ~ ! [Fun1,Com,Fun2] : Y_1 != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,Fun1),Com),Fun2) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_520_image__cong,axiom,
% 40.48/40.61 ! [F,G,M,N] :
% 40.48/40.61 ( M = N
% 40.48/40.61 => ( ! [X_2] :
% 40.48/40.61 ( is_pname(X_2)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),N))
% 40.48/40.61 => hAPP_p1842370726_state(F,X_2) = hAPP_p1842370726_state(G,X_2) ) )
% 40.48/40.61 => hAPP_f631639356e_bool(image_275883510_state(F),M) = hAPP_f631639356e_bool(image_275883510_state(G),N) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_521_Collect__mono,axiom,
% 40.48/40.61 ! [Q_1,P_1] :
% 40.48/40.61 ( ! [X_2] :
% 40.48/40.61 ( hBOOL(hAPP_H513860823e_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_H513860823e_bool(Q_1,X_2)) )
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,P_1)),hAPP_f921536533e_bool(collec727977250_state,Q_1))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_522_Collect__mono,axiom,
% 40.48/40.61 ! [Q_1,P_1] :
% 40.48/40.61 ( ! [X_2] :
% 40.48/40.61 ( is_pname(X_2)
% 40.48/40.61 => ( hBOOL(hAPP_pname_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_pname_bool(Q_1,X_2)) ) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,P_1)),hAPP_f759274231e_bool(collect_pname,Q_1))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_523_Collect__mono,axiom,
% 40.48/40.61 ! [Q_1,P_1] :
% 40.48/40.61 ( ! [X_2] :
% 40.48/40.61 ( is_fun_pname_bool(X_2)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(Q_1,X_2)) ) )
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,P_1)),hAPP_f559147733l_bool(collec1974731493e_bool,Q_1))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_524_Collect__mono,axiom,
% 40.48/40.61 ! [Q_1,P_1] :
% 40.48/40.61 ( ! [X_2] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(Q_1,X_2)) )
% 40.48/40.61 => hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,P_1)),hAPP_f1970439265l_bool(collec111528142e_bool,Q_1))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_525_predicate1I,axiom,
% 40.48/40.61 ! [Q_1,P_1] :
% 40.48/40.61 ( ! [X_2] :
% 40.48/40.61 ( is_pname(X_2)
% 40.48/40.61 => ( hBOOL(hAPP_pname_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_pname_bool(Q_1,X_2)) ) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,P_1),Q_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_526_predicate1I,axiom,
% 40.48/40.61 ! [Q_1,P_1] :
% 40.48/40.61 ( ! [X_2] :
% 40.48/40.61 ( hBOOL(hAPP_H513860823e_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_H513860823e_bool(Q_1,X_2)) )
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,P_1),Q_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_527_mk__disjoint__insert,axiom,
% 40.48/40.61 ! [A,A_1] :
% 40.48/40.61 ( is_fun_pname_bool(A_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1))
% 40.48/40.61 => ? [B_2] :
% 40.48/40.61 ( is_fun_pname_bool(B_2)
% 40.48/40.61 & A_1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B_2)
% 40.48/40.61 & ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B_2)) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_528_mk__disjoint__insert,axiom,
% 40.48/40.61 ! [A,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1))
% 40.48/40.61 => ? [B_2] :
% 40.48/40.61 ( A_1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B_2)
% 40.48/40.61 & ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),B_2)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_529_Set_Oset__insert,axiom,
% 40.48/40.61 ! [X_1,A_1] :
% 40.48/40.61 ( is_fun_pname_bool(A_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.48/40.61 => ~ ! [B_2] :
% 40.48/40.61 ( is_fun_pname_bool(B_2)
% 40.48/40.61 => ( A_1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B_2)
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B_2)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_530_Set_Oset__insert,axiom,
% 40.48/40.61 ! [X_1,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.48/40.61 => ~ ! [B_2] :
% 40.48/40.61 ( A_1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),B_2)
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),B_2)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_531_equals0I,axiom,
% 40.48/40.61 ! [A_1] :
% 40.48/40.61 ( is_fun_pname_bool(A_1)
% 40.48/40.61 => ( ! [Y_2] :
% 40.48/40.61 ( is_pname(Y_2)
% 40.48/40.61 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Y_2),A_1)) )
% 40.48/40.61 => A_1 = bot_bo844097828e_bool ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_532_equals0I,axiom,
% 40.48/40.61 ! [A_1] :
% 40.48/40.61 ( ! [Y_2] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,Y_2),A_1))
% 40.48/40.61 => A_1 = bot_bo1055319631e_bool ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_533_MGT__alternD,axiom,
% 40.48/40.61 ! [G_1,C] :
% 40.48/40.61 ( hBOOL(hoare_298929751gleton)
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(C))))),fequal_state))),C),fequal_state)),bot_bo1055319631e_bool)))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,C)),bot_bo1055319631e_bool))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_534_MGT__alternI,axiom,
% 40.48/40.61 ! [G_1,C] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,C)),bot_bo1055319631e_bool)))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(G_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(C))))),fequal_state))),C),fequal_state)),bot_bo1055319631e_bool))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_535_MGT__def,axiom,
% 40.48/40.61 ! [C] : hAPP_c1546227244_state(hoare_Mirabelle_MGT,C) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,fequal_state),C),evalc(C)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_536_evalc_OBody,axiom,
% 40.48/40.61 ! [Pn,S0,S1_1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,Pn))),S0),S1_1))
% 40.48/40.61 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,Pn)),S0),S1_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_537_evalc__elim__cases_I6_J,axiom,
% 40.48/40.61 ! [P,S_2,S1_1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,P)),S_2),S1_1))
% 40.48/40.61 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,P))),S_2),S1_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_538_evalc__elim__cases_I1_J,axiom,
% 40.48/40.61 ! [S_2,T_1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),S_2),T_1))
% 40.48/40.61 => T_1 = S_2 ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_539_evalc_OWhileFalse,axiom,
% 40.48/40.61 ! [C,B_1,S_1] :
% 40.48/40.61 ( ~ hBOOL(hAPP_state_bool(B_1,S_1))
% 40.48/40.61 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(B_1,C)),S_1),S_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_540_evalc_OWhileTrue,axiom,
% 40.48/40.61 ! [S2_1,C,S1_2,B_1,S0_1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(B_1,S0_1))
% 40.48/40.61 => ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(C),S0_1),S1_2))
% 40.48/40.61 => ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(B_1,C)),S1_2),S2_1))
% 40.48/40.61 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(B_1,C)),S0_1),S2_1)) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_541_evalc_OSemi,axiom,
% 40.48/40.61 ! [C1,S2,C0,S0,S1_1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(C0),S0),S1_1))
% 40.48/40.61 => ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(C1),S1_1),S2))
% 40.48/40.61 => hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(C0,C1)),S0),S2)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_542_evalc_OSkip,axiom,
% 40.48/40.61 ! [S_2] : hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),S_2),S_2)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_543_com__det,axiom,
% 40.48/40.61 ! [U,C_2,S_2,T_1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(C_2),S_2),T_1))
% 40.48/40.61 => ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(C_2),S_2),U))
% 40.48/40.61 => U = T_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_544_evalc__elim__cases_I4_J,axiom,
% 40.48/40.61 ! [C1,C2,S_2,T_1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(C1,C2)),S_2),T_1))
% 40.48/40.61 => ~ ! [S1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(C1),S_2),S1))
% 40.48/40.61 => ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(C2),S1),T_1)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_545_evalc__WHILE__case,axiom,
% 40.48/40.61 ! [B_1,C,S_1,T] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(B_1,C)),S_1),T))
% 40.48/40.61 => ( ( T = S_1
% 40.48/40.61 => hBOOL(hAPP_state_bool(B_1,S_1)) )
% 40.48/40.61 => ~ ( hBOOL(hAPP_state_bool(B_1,S_1))
% 40.48/40.61 => ! [S1] :
% 40.48/40.61 ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(C),S_1),S1))
% 40.48/40.61 => ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(B_1,C)),S1),T)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_546_xt1_I15_J,axiom,
% 40.48/40.61 ! [C,A,F,B_1] :
% 40.48/40.61 ( A = hAPP_f759274231e_bool(F,B_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C),B_1))
% 40.48/40.61 => ( ! [X_2,Y_2] :
% 40.48/40.61 ( ( is_fun_pname_bool(X_2)
% 40.48/40.61 & is_fun_pname_bool(Y_2) )
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_2))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(F,Y_2)),hAPP_f759274231e_bool(F,X_2))) ) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(F,C)),A)) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_547_xt1_I15_J,axiom,
% 40.48/40.61 ! [C,A,F,B_1] :
% 40.48/40.61 ( A = hAPP_f921536533e_bool(F,B_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C),B_1))
% 40.48/40.61 => ( ! [X_2,Y_2] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_2),X_2))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(F,Y_2)),hAPP_f921536533e_bool(F,X_2))) )
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(F,C)),A)) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_548_xt1_I16_J,axiom,
% 40.48/40.61 ! [F,C,B_1,A] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),A))
% 40.48/40.61 => ( hAPP_f759274231e_bool(F,B_1) = C
% 40.48/40.61 => ( ! [X_2,Y_2] :
% 40.48/40.61 ( ( is_fun_pname_bool(X_2)
% 40.48/40.61 & is_fun_pname_bool(Y_2) )
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_2))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(F,Y_2)),hAPP_f759274231e_bool(F,X_2))) ) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C),hAPP_f759274231e_bool(F,A))) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_549_xt1_I16_J,axiom,
% 40.48/40.61 ! [F,C,B_1,A] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B_1),A))
% 40.48/40.61 => ( hAPP_f921536533e_bool(F,B_1) = C
% 40.48/40.61 => ( ! [X_2,Y_2] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_2),X_2))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(F,Y_2)),hAPP_f921536533e_bool(F,X_2))) )
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C),hAPP_f921536533e_bool(F,A))) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_550_folding__one_Ounion__inter,axiom,
% 40.48/40.61 ! [B,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite1626890877e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 40.48/40.61 => ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,A_1),B) != bot_bo1649642514l_bool
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,A_1),B))),hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,A_1),B))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,hAPP_f674760225e_bool(Fa,A_1)),hAPP_f674760225e_bool(Fa,B)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_551_folding__one_Ounion__inter,axiom,
% 40.48/40.61 ! [B,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite132673334e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B))
% 40.48/40.61 => ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,A_1),B) != bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,A_1),B))),hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,A_1),B))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,hAPP_f772567431e_bool(Fa,A_1)),hAPP_f772567431e_bool(Fa,B)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_552_folding__one_Ounion__inter,axiom,
% 40.48/40.61 ! [B,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite1282449217_pname(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.48/40.61 => ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B) != bot_bo844097828e_bool
% 40.48/40.61 => hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B))),hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B))) = hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(Fa,A_1)),hAPP_f1297739591_pname(Fa,B)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_553_folding__one_Ounion__inter,axiom,
% 40.48/40.61 ! [B,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite774711482_state(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B))
% 40.48/40.61 => ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B) != bot_bo1055319631e_bool
% 40.48/40.61 => hAPP_H563960305_state(hAPP_H521649881_state(F,hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B))),hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B))) = hAPP_H563960305_state(hAPP_H521649881_state(F,hAPP_f2143211163_state(Fa,A_1)),hAPP_f2143211163_state(Fa,B)) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_554_folding__one_Ounion__disjoint,axiom,
% 40.48/40.61 ! [B,A_1,F,Fa] :
% 40.48/40.61 ( ( is_fun1661590463l_bool(B)
% 40.48/40.61 & is_fun1661590463l_bool(A_1) )
% 40.48/40.61 => ( hBOOL(finite1626890877e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.61 => ( A_1 != bot_bo1649642514l_bool
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))
% 40.48/40.61 => ( B != bot_bo1649642514l_bool
% 40.48/40.61 => ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,A_1),B) = bot_bo1649642514l_bool
% 40.48/40.61 => hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,A_1),B)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,hAPP_f674760225e_bool(Fa,A_1)),hAPP_f674760225e_bool(Fa,B)) ) ) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_555_folding__one_Ounion__disjoint,axiom,
% 40.48/40.61 ! [B,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite132673334e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.61 => ( A_1 != bot_bo1325454745l_bool
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,B))
% 40.48/40.61 => ( B != bot_bo1325454745l_bool
% 40.48/40.61 => ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,A_1),B) = bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,A_1),B)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,hAPP_f772567431e_bool(Fa,A_1)),hAPP_f772567431e_bool(Fa,B)) ) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_556_folding__one_Ounion__disjoint,axiom,
% 40.48/40.61 ! [B,A_1,F,Fa] :
% 40.48/40.61 ( ( is_fun_pname_bool(B)
% 40.48/40.61 & is_fun_pname_bool(A_1) )
% 40.48/40.61 => ( hBOOL(finite1282449217_pname(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.61 => ( A_1 != bot_bo844097828e_bool
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))
% 40.48/40.61 => ( B != bot_bo844097828e_bool
% 40.48/40.61 => ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B) = bot_bo844097828e_bool
% 40.48/40.61 => hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,A_1),B)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(Fa,A_1)),hAPP_f1297739591_pname(Fa,B)) ) ) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_557_folding__one_Ounion__disjoint,axiom,
% 40.48/40.61 ! [B,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite774711482_state(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.61 => ( A_1 != bot_bo1055319631e_bool
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,B))
% 40.48/40.61 => ( B != bot_bo1055319631e_bool
% 40.48/40.61 => ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B) = bot_bo1055319631e_bool
% 40.48/40.61 => hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)) = hAPP_H563960305_state(hAPP_H521649881_state(F,hAPP_f2143211163_state(Fa,A_1)),hAPP_f2143211163_state(Fa,B)) ) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_558_IntI,axiom,
% 40.48/40.61 ! [B,C,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_559_IntI,axiom,
% 40.48/40.61 ! [B,C,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_560_IntE,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)))
% 40.48/40.61 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.48/40.61 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_561_IntE,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)))
% 40.48/40.61 => ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.48/40.61 => ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_562_finite__Int,axiom,
% 40.48/40.61 ! [G_1,Fa] :
% 40.48/40.61 ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,Fa))
% 40.48/40.61 | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,G_1)) )
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,Fa),G_1))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_563_finite__Int,axiom,
% 40.48/40.61 ! [G_1,Fa] :
% 40.48/40.61 ( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,Fa))
% 40.48/40.61 | hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,G_1)) )
% 40.48/40.61 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,Fa),G_1))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_564_finite__Int,axiom,
% 40.48/40.61 ! [G_1,Fa] :
% 40.48/40.61 ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,Fa))
% 40.48/40.61 | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,G_1)) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,Fa),G_1))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_565_finite__Int,axiom,
% 40.48/40.61 ! [G_1,Fa] :
% 40.48/40.61 ( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,Fa))
% 40.48/40.61 | hBOOL(hAPP_f1760790145l_bool(finite784854244_state,G_1)) )
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Fa),G_1))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_566_disjoint__iff__not__equal,axiom,
% 40.48/40.61 ! [A_1,B] :
% 40.48/40.61 ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B) = bot_bo844097828e_bool
% 40.48/40.61 <=> ! [X_2] :
% 40.48/40.61 ( is_pname(X_2)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.48/40.61 => ! [Xa] :
% 40.48/40.61 ( is_pname(Xa)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Xa),B))
% 40.48/40.61 => X_2 != Xa ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_567_disjoint__iff__not__equal,axiom,
% 40.48/40.61 ! [A_1,B] :
% 40.48/40.61 ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B) = bot_bo1055319631e_bool
% 40.48/40.61 <=> ! [X_2] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.48/40.61 => ! [Xa] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,Xa),B))
% 40.48/40.61 => X_2 != Xa ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_568_Int__empty__right,axiom,
% 40.48/40.61 ! [A_1] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),bot_bo844097828e_bool) = bot_bo844097828e_bool ).
% 40.48/40.61
% 40.48/40.61 fof(fact_569_Int__empty__right,axiom,
% 40.48/40.61 ! [A_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),bot_bo1055319631e_bool) = bot_bo1055319631e_bool ).
% 40.48/40.61
% 40.48/40.61 fof(fact_570_Int__empty__left,axiom,
% 40.48/40.61 ! [B] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),B) = bot_bo844097828e_bool ).
% 40.48/40.61
% 40.48/40.61 fof(fact_571_Int__empty__left,axiom,
% 40.48/40.61 ! [B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),B) = bot_bo1055319631e_bool ).
% 40.48/40.61
% 40.48/40.61 fof(fact_572_Int__def,axiom,
% 40.48/40.61 ! [A_1,B] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),A_1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),B))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_573_Int__def,axiom,
% 40.48/40.61 ! [A_1,B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),A_1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),B))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_574_Int__def,axiom,
% 40.48/40.61 ! [A_1,B] : hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,A_1),B) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),A_1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),B))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_575_Int__def,axiom,
% 40.48/40.61 ! [A_1,B] : hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,A_1),B) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),A_1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),B))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_576_Int__iff,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)))
% 40.48/40.61 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.48/40.61 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_577_Int__iff,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)))
% 40.48/40.61 <=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.48/40.61 & hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_578_IntD1,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_579_IntD1,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_580_IntD2,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_581_IntD2,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_582_Collect__conj__eq,axiom,
% 40.48/40.61 ! [P_1,Q_1] : hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),P_1)),Q_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(collec727977250_state,P_1)),hAPP_f921536533e_bool(collec727977250_state,Q_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_583_Collect__conj__eq,axiom,
% 40.48/40.61 ! [P_1,Q_1] : hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),P_1)),Q_1)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(collect_pname,P_1)),hAPP_f759274231e_bool(collect_pname,Q_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_584_Collect__conj__eq,axiom,
% 40.48/40.61 ! [P_1,Q_1] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),P_1)),Q_1)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,P_1)),hAPP_f559147733l_bool(collec1974731493e_bool,Q_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_585_Collect__conj__eq,axiom,
% 40.48/40.61 ! [P_1,Q_1] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),P_1)),Q_1)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,P_1)),hAPP_f1970439265l_bool(collec111528142e_bool,Q_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_586_Int__Collect,axiom,
% 40.48/40.61 ! [X_1,A_1,P_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),hAPP_f759274231e_bool(collect_pname,P_1))))
% 40.48/40.61 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.48/40.61 & hBOOL(hAPP_pname_bool(P_1,X_1)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_587_Int__Collect,axiom,
% 40.48/40.61 ! [X_1,A_1,P_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),hAPP_f921536533e_bool(collec727977250_state,P_1))))
% 40.48/40.61 <=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.48/40.61 & hBOOL(hAPP_H513860823e_bool(P_1,X_1)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_588_Int__Collect,axiom,
% 40.48/40.61 ! [X_1,A_1,P_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,A_1),hAPP_f559147733l_bool(collec1974731493e_bool,P_1))))
% 40.48/40.61 <=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A_1))
% 40.48/40.61 & hBOOL(hAPP_f1664156314l_bool(P_1,X_1)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_589_Int__Collect,axiom,
% 40.48/40.61 ! [X_1,A_1,P_1] :
% 40.48/40.61 ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,A_1),hAPP_f1970439265l_bool(collec111528142e_bool,P_1))))
% 40.48/40.61 <=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_1),A_1))
% 40.48/40.61 & hBOOL(hAPP_f1760790145l_bool(P_1,X_1)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_590_inf__Int__eq,axiom,
% 40.48/40.61 ! [R_1,S,X_2] :
% 40.48/40.61 ( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),R_1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),S)),X_2))
% 40.48/40.61 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,R_1),S))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_591_inf__Int__eq,axiom,
% 40.48/40.61 ! [R_1,S,X_2] :
% 40.48/40.61 ( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),R_1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),S)),X_2))
% 40.48/40.61 <=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,R_1),S))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_592_Un__Int__crazy,axiom,
% 40.48/40.61 ! [A_1,B,C_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),C_1))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,C_1),A_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),C_1))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,C_1),A_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_593_Un__Int__distrib2,axiom,
% 40.48/40.61 ! [B,C_1,A_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),C_1)),A_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),A_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,C_1),A_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_594_Int__Un__distrib2,axiom,
% 40.48/40.61 ! [B,C_1,A_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),C_1)),A_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),A_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,C_1),A_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_595_Un__Int__distrib,axiom,
% 40.48/40.61 ! [A_1,B,C_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),C_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),B)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,A_1),C_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_596_Int__Un__distrib,axiom,
% 40.48/40.61 ! [A_1,B,C_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),C_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),C_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_597_Int__mono,axiom,
% 40.48/40.61 ! [B,D_1,A_1,C_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),C_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),D_1))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,C_1),D_1))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_598_Int__mono,axiom,
% 40.48/40.61 ! [B,D_1,A_1,C_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),C_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),D_1))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,C_1),D_1))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_599_Int__greatest,axiom,
% 40.48/40.61 ! [B,C_1,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),B))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_600_Int__greatest,axiom,
% 40.48/40.61 ! [B,C_1,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C_1),A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C_1),B))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_601_Int__absorb1,axiom,
% 40.48/40.61 ! [B,A_1] :
% 40.48/40.61 ( is_fun_pname_bool(B)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B) = B ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_602_Int__absorb1,axiom,
% 40.48/40.61 ! [B,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B),A_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B) = B ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_603_Int__absorb2,axiom,
% 40.48/40.61 ! [A_1,B] :
% 40.48/40.61 ( is_fun_pname_bool(A_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B) = A_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_604_Int__absorb2,axiom,
% 40.48/40.61 ! [A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B) = A_1 ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_605_Int__lower2,axiom,
% 40.48/40.61 ! [A_1,B] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)),B)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_606_Int__lower2,axiom,
% 40.48/40.61 ! [A_1,B] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)),B)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_607_Int__lower1,axiom,
% 40.48/40.61 ! [A_1,B] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)),A_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_608_Int__lower1,axiom,
% 40.48/40.61 ! [A_1,B] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)),A_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_609_Int__insert__left__if1,axiom,
% 40.48/40.61 ! [B,A,C_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)),C_1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,B),C_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_610_Int__insert__left__if1,axiom,
% 40.48/40.61 ! [B,A,C_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),C_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)),C_1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),C_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_611_Int__insert__right__if1,axiom,
% 40.48/40.61 ! [B,A,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_612_Int__insert__right__if1,axiom,
% 40.48/40.61 ! [B,A,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_613_Int__insert__left__if0,axiom,
% 40.48/40.61 ! [B,A,C_1] :
% 40.48/40.61 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)),C_1) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,B),C_1) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_614_Int__insert__left__if0,axiom,
% 40.48/40.61 ! [B,A,C_1] :
% 40.48/40.61 ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),C_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)),C_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),C_1) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_615_Int__insert__right__if0,axiom,
% 40.48/40.61 ! [B,A,A_1] :
% 40.48/40.61 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_616_Int__insert__right__if0,axiom,
% 40.48/40.61 ! [B,A,A_1] :
% 40.48/40.61 ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_617_insert__inter__insert,axiom,
% 40.48/40.61 ! [A,A_1,B] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),A_1)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_618_insert__inter__insert,axiom,
% 40.48/40.61 ! [A,A_1,B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_619_Int__insert__left,axiom,
% 40.48/40.61 ! [B,A,C_1] :
% 40.48/40.61 ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)),C_1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,B),C_1)) )
% 40.48/40.61 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)),C_1) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,B),C_1) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_620_Int__insert__left,axiom,
% 40.48/40.61 ! [B,A,C_1] :
% 40.48/40.61 ( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),C_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)),C_1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),C_1)) )
% 40.48/40.61 & ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),C_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)),C_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),C_1) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_621_Int__insert__right,axiom,
% 40.48/40.61 ! [B,A,A_1] :
% 40.48/40.61 ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)) )
% 40.48/40.61 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_622_Int__insert__right,axiom,
% 40.48/40.61 ! [B,A,A_1] :
% 40.48/40.61 ( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)) )
% 40.48/40.61 & ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_623_inf__sup__ord_I1_J,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Y_1)),X_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_624_inf__sup__ord_I1_J,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1)),X_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_625_inf__le1,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Y_1)),X_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_626_inf__le1,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1)),X_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_627_inf__sup__ord_I2_J,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Y_1)),Y_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_628_inf__sup__ord_I2_J,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1)),Y_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_629_inf__le2,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Y_1)),Y_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_630_inf__le2,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1)),Y_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_631_le__iff__inf,axiom,
% 40.48/40.61 ! [X_1,Y_1] :
% 40.48/40.61 ( is_fun_pname_bool(X_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.61 <=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Y_1) = X_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_632_le__iff__inf,axiom,
% 40.48/40.61 ! [X_1,Y_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.61 <=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1) = X_1 ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_633_le__inf__iff,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,Y_1),Z)))
% 40.48/40.61 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.61 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Z)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_634_le__inf__iff,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Y_1),Z)))
% 40.48/40.61 <=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.61 & hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Z)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_635_le__infI1,axiom,
% 40.48/40.61 ! [B_1,A,X_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),X_1))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A),B_1)),X_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_636_le__infI1,axiom,
% 40.48/40.61 ! [B_1,A,X_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),X_1))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A),B_1)),X_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_637_le__infI2,axiom,
% 40.48/40.61 ! [A,B_1,X_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),X_1))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A),B_1)),X_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_638_le__infI2,axiom,
% 40.48/40.61 ! [A,B_1,X_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B_1),X_1))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A),B_1)),X_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_639_inf__absorb1,axiom,
% 40.48/40.61 ! [X_1,Y_1] :
% 40.48/40.61 ( is_fun_pname_bool(X_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Y_1) = X_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_640_inf__absorb1,axiom,
% 40.48/40.61 ! [X_1,Y_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1) = X_1 ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_641_inf__absorb2,axiom,
% 40.48/40.61 ! [Y_1,X_1] :
% 40.48/40.61 ( is_fun_pname_bool(Y_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_1),X_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Y_1) = Y_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_642_inf__absorb2,axiom,
% 40.48/40.61 ! [Y_1,X_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,Y_1),X_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1) = Y_1 ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_643_le__infI,axiom,
% 40.48/40.61 ! [B_1,X_1,A] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),A))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),B_1))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A),B_1))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_644_le__infI,axiom,
% 40.48/40.61 ! [B_1,X_1,A] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),A))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),B_1))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A),B_1))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_645_inf__greatest,axiom,
% 40.48/40.61 ! [Z,X_1,Y_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Y_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),Z))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,Y_1),Z))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_646_inf__greatest,axiom,
% 40.48/40.61 ! [Z,X_1,Y_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Y_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),Z))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Y_1),Z))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_647_inf__mono,axiom,
% 40.48/40.61 ! [B_1,D,A,C] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),C))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),D))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A),B_1)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,C),D))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_648_inf__mono,axiom,
% 40.48/40.61 ! [B_1,D,A,C] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A),C))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,B_1),D))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A),B_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,C),D))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_649_le__infE,axiom,
% 40.48/40.61 ! [X_1,A,B_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A),B_1)))
% 40.48/40.61 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),A))
% 40.48/40.61 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_1),B_1)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_650_le__infE,axiom,
% 40.48/40.61 ! [X_1,A,B_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A),B_1)))
% 40.48/40.61 => ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),A))
% 40.48/40.61 => ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X_1),B_1)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_651_inf__sup__absorb,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)) = X_1 ).
% 40.48/40.61
% 40.48/40.61 fof(fact_652_sup__inf__absorb,axiom,
% 40.48/40.61 ! [X_1,Y_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1)) = X_1 ).
% 40.48/40.61
% 40.48/40.61 fof(fact_653_inf__sup__distrib1,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Z)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_654_sup__inf__distrib1,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Y_1),Z)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Z)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_655_inf__sup__distrib2,axiom,
% 40.48/40.61 ! [Y_1,Z,X_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)),X_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Y_1),X_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Z),X_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_656_sup__inf__distrib2,axiom,
% 40.48/40.61 ! [Y_1,Z,X_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Y_1),Z)),X_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),X_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Z),X_1)) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_657_inf__bot__right,axiom,
% 40.48/40.61 ! [X_1] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),bot_bo844097828e_bool) = bot_bo844097828e_bool ).
% 40.48/40.61
% 40.48/40.61 fof(fact_658_inf__bot__right,axiom,
% 40.48/40.61 ! [X_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),bot_bo1055319631e_bool) = bot_bo1055319631e_bool ).
% 40.48/40.61
% 40.48/40.61 fof(fact_659_inf__bot__left,axiom,
% 40.48/40.61 ! [X_1] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X_1) = bot_bo844097828e_bool ).
% 40.48/40.61
% 40.48/40.61 fof(fact_660_inf__bot__left,axiom,
% 40.48/40.61 ! [X_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X_1) = bot_bo1055319631e_bool ).
% 40.48/40.61
% 40.48/40.61 fof(fact_661_distrib__sup__le,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,Y_1),Z))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Y_1)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X_1),Z)))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_662_distrib__sup__le,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Y_1),Z))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Z)))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_663_distrib__inf__le,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Y_1)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),Z))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,Y_1),Z)))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_664_distrib__inf__le,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Z))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_665_image__Int__subset,axiom,
% 40.48/40.61 ! [F,A_1,B] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(F),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f631639356e_bool(image_275883510_state(F),A_1)),hAPP_f631639356e_bool(image_275883510_state(F),B)))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_666_Un__Int__assoc__eq,axiom,
% 40.48/40.61 ! [A_1,B,C_1] :
% 40.48/40.61 ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),B)),C_1) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,B),C_1))
% 40.48/40.61 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),A_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_667_Un__Int__assoc__eq,axiom,
% 40.48/40.61 ! [A_1,B,C_1] :
% 40.48/40.61 ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),B)),C_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,B),C_1))
% 40.48/40.61 <=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,C_1),A_1)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_668_if__image__distrib,axiom,
% 40.48/40.61 ! [P_1,F,G,S] : hAPP_f631639356e_bool(image_275883510_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,hAPP_f1405979047_state(cOMBB_707293872_pname(if_Hoa533980679_state),P_1)),F)),G)),S) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(F),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,S),hAPP_f759274231e_bool(collect_pname,P_1)))),hAPP_f631639356e_bool(image_275883510_state(G),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,S),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),P_1))))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_669_dom__if,axiom,
% 40.48/40.61 ! [P_1,F,G] : dom_pname_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,hAPP_f755519727on_com(cOMBB_1394247784_pname(if_option_com),P_1)),F)),G)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(F)),hAPP_f759274231e_bool(collect_pname,P_1))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(G)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),P_1)))) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_670_Int__Collect__mono,axiom,
% 40.48/40.61 ! [Q_1,P_1,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B))
% 40.48/40.61 => ( ! [X_2] :
% 40.48/40.61 ( is_pname(X_2)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A_1))
% 40.48/40.61 => ( hBOOL(hAPP_pname_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_pname_bool(Q_1,X_2)) ) ) )
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,A_1),hAPP_f759274231e_bool(collect_pname,P_1))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,B),hAPP_f759274231e_bool(collect_pname,Q_1)))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_671_Int__Collect__mono,axiom,
% 40.48/40.61 ! [Q_1,P_1,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,A_1),B))
% 40.48/40.61 => ( ! [X_2] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_2),A_1))
% 40.48/40.61 => ( hBOOL(hAPP_H513860823e_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_H513860823e_bool(Q_1,X_2)) ) )
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,A_1),hAPP_f921536533e_bool(collec727977250_state,P_1))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,B),hAPP_f921536533e_bool(collec727977250_state,Q_1)))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_672_Int__Collect__mono,axiom,
% 40.48/40.61 ! [Q_1,P_1,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B))
% 40.48/40.61 => ( ! [X_2] :
% 40.48/40.61 ( is_fun_pname_bool(X_2)
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_2),A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(Q_1,X_2)) ) ) )
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,A_1),hAPP_f559147733l_bool(collec1974731493e_bool,P_1))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,B),hAPP_f559147733l_bool(collec1974731493e_bool,Q_1)))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_673_Int__Collect__mono,axiom,
% 40.48/40.61 ! [Q_1,P_1,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,A_1),B))
% 40.48/40.61 => ( ! [X_2] :
% 40.48/40.61 ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_2),A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(P_1,X_2))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(Q_1,X_2)) ) )
% 40.48/40.61 => hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,A_1),hAPP_f1970439265l_bool(collec111528142e_bool,P_1))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,B),hAPP_f1970439265l_bool(collec111528142e_bool,Q_1)))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_674_distrib__imp1,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] :
% 40.48/40.61 ( ! [X_2,Y_2,Z_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_2),Z_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_2),Y_2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_2),Z_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Y_1),Z)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Y_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_1),Z)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_675_distrib__imp2,axiom,
% 40.48/40.61 ! [X_1,Y_1,Z] :
% 40.48/40.61 ( ! [X_2,Y_2,Z_1] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,Y_2),Z_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_2),Y_2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X_2),Z_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,Y_1),Z)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Y_1)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X_1),Z)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_676_folding__one_Oremove,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( is_pname(X_1)
% 40.48/40.61 => ( hBOOL(finite1282449217_pname(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.48/40.61 => ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
% 40.48/40.61 => hAPP_f1297739591_pname(Fa,A_1) = X_1 )
% 40.48/40.61 & ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) != bot_bo844097828e_bool
% 40.48/40.61 => hAPP_f1297739591_pname(Fa,A_1) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_677_folding__one_Oremove,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite774711482_state(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.48/40.61 => ( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
% 40.48/40.61 => hAPP_f2143211163_state(Fa,A_1) = X_1 )
% 40.48/40.61 & ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
% 40.48/40.61 => hAPP_f2143211163_state(Fa,A_1) = hAPP_H563960305_state(hAPP_H521649881_state(F,X_1),hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)))) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_678_folding__one_Oremove,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( is_fun_pname_bool(X_1)
% 40.48/40.61 => ( hBOOL(finite1626890877e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A_1))
% 40.48/40.61 => ( ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,A_1),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
% 40.48/40.61 => hAPP_f674760225e_bool(Fa,A_1) = X_1 )
% 40.48/40.61 & ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,A_1),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
% 40.48/40.61 => hAPP_f674760225e_bool(Fa,A_1) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,X_1),hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,A_1),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),bot_bo1649642514l_bool)))) ) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_679_folding__one_Oremove,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite132673334e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X_1),A_1))
% 40.48/40.61 => ( ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,A_1),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f772567431e_bool(Fa,A_1) = X_1 )
% 40.48/40.61 & ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,A_1),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f772567431e_bool(Fa,A_1) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,X_1),hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,A_1),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),bot_bo1325454745l_bool)))) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_680_folding__one_Oinsert__remove,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( is_pname(X_1)
% 40.48/40.61 => ( hBOOL(finite1282449217_pname(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.61 => ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
% 40.48/40.61 => hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1)) = X_1 )
% 40.48/40.61 & ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) != bot_bo844097828e_bool
% 40.48/40.61 => hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(Fa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_681_folding__one_Oinsert__remove,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite774711482_state(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.61 => ( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
% 40.48/40.61 => hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1)) = X_1 )
% 40.48/40.61 & ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
% 40.48/40.61 => hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1)) = hAPP_H563960305_state(hAPP_H521649881_state(F,X_1),hAPP_f2143211163_state(Fa,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)))) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_682_folding__one_Oinsert__remove,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( is_fun_pname_bool(X_1)
% 40.48/40.61 => ( hBOOL(finite1626890877e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.61 => ( ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,A_1),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
% 40.48/40.61 => hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A_1)) = X_1 )
% 40.48/40.61 & ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,A_1),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
% 40.48/40.61 => hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A_1)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(F,X_1),hAPP_f674760225e_bool(Fa,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,A_1),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),bot_bo1649642514l_bool)))) ) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_683_folding__one_Oinsert__remove,axiom,
% 40.48/40.61 ! [X_1,A_1,F,Fa] :
% 40.48/40.61 ( hBOOL(finite132673334e_bool(F,Fa))
% 40.48/40.61 => ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.61 => ( ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,A_1),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),A_1)) = X_1 )
% 40.48/40.61 & ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,A_1),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
% 40.48/40.61 => hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),A_1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(F,X_1),hAPP_f772567431e_bool(Fa,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,A_1),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X_1),bot_bo1325454745l_bool)))) ) ) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_684_DiffI,axiom,
% 40.48/40.61 ! [B,C,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),B))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_685_DiffI,axiom,
% 40.48/40.61 ! [B,C,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),B))) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_686_DiffE,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),B)))
% 40.48/40.61 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A_1))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_687_DiffE,axiom,
% 40.48/40.61 ! [C,A_1,B] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),B)))
% 40.48/40.61 => ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),A_1))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,C),B)) ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_688_finite__Diff,axiom,
% 40.48/40.61 ! [B,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))
% 40.48/40.61 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,A_1),B))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_689_finite__Diff,axiom,
% 40.48/40.61 ! [B,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,A_1))
% 40.48/40.61 => hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,A_1),B))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_690_finite__Diff,axiom,
% 40.48/40.61 ! [B,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))
% 40.48/40.61 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),B))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_691_finite__Diff,axiom,
% 40.48/40.61 ! [B,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,A_1))
% 40.48/40.61 => hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),B))) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_692_insert__Diff,axiom,
% 40.48/40.61 ! [A,A_1] :
% 40.48/40.61 ( is_fun_pname_bool(A_1)
% 40.48/40.61 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),A_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool))) = A_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_693_insert__Diff,axiom,
% 40.48/40.61 ! [A,A_1] :
% 40.48/40.61 ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,A),A_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool))) = A_1 ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_694_Diff__insert__absorb,axiom,
% 40.48/40.61 ! [X_1,A_1] :
% 40.48/40.61 ( is_fun_pname_bool(A_1)
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))
% 40.48/40.61 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A_1)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = A_1 ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_695_Diff__insert__absorb,axiom,
% 40.48/40.61 ! [X_1,A_1] :
% 40.48/40.61 ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X_1),A_1))
% 40.48/40.61 => hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),A_1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X_1),bot_bo1055319631e_bool)) = A_1 ) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_696_insert__Diff__single,axiom,
% 40.48/40.61 ! [A,A_1] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),bot_bo844097828e_bool))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),A_1) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_697_insert__Diff__single,axiom,
% 40.48/40.61 ! [A,A_1] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),A_1) ).
% 40.48/40.61
% 40.48/40.61 fof(fact_698_Diff__insert2,axiom,
% 40.48/40.61 ! [A_1,A,B] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),B)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,A_1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,A),bot_bo1055319631e_bool))),B) ).
% 40.48/40.61
% 40.48/40.61 %----Helper facts (107)
% 40.48/40.61 fof(help_fNot_1_1_U,axiom,
% 40.48/40.61 ! [P] :
% 40.48/40.61 ( ~ hBOOL(hAPP_bool_bool(fNot,P))
% 40.48/40.61 | ~ hBOOL(P) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fNot_2_1_U,axiom,
% 40.48/40.61 ! [P] :
% 40.48/40.61 ( hBOOL(P)
% 40.48/40.61 | hBOOL(hAPP_bool_bool(fNot,P)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fconj_1_1_U,axiom,
% 40.48/40.61 ! [Q,P] :
% 40.48/40.61 ( ~ hBOOL(P)
% 40.48/40.61 | ~ hBOOL(Q)
% 40.48/40.61 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fconj_2_1_U,axiom,
% 40.48/40.61 ! [P,Q] :
% 40.48/40.61 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 40.48/40.61 | hBOOL(P) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fconj_3_1_U,axiom,
% 40.48/40.61 ! [P,Q] :
% 40.48/40.61 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
% 40.48/40.61 | hBOOL(Q) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fdisj_1_1_U,axiom,
% 40.48/40.61 ! [Q,P] :
% 40.48/40.61 ( ~ hBOOL(P)
% 40.48/40.61 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fdisj_2_1_U,axiom,
% 40.48/40.61 ! [P,Q] :
% 40.48/40.61 ( ~ hBOOL(Q)
% 40.48/40.61 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fdisj_3_1_U,axiom,
% 40.48/40.61 ! [P,Q] :
% 40.48/40.61 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
% 40.48/40.61 | hBOOL(P)
% 40.48/40.61 | hBOOL(Q) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fFalse_1_1_U,axiom,
% 40.48/40.61 ~ hBOOL(fFalse) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fFalse_1_1_T,axiom,
% 40.48/40.61 ! [P] :
% 40.48/40.61 ( is_bool(P)
% 40.48/40.61 => ( P = fTrue
% 40.48/40.61 | P = fFalse ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fimplies_1_1_U,axiom,
% 40.48/40.61 ! [Q,P] :
% 40.48/40.61 ( hBOOL(P)
% 40.48/40.61 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fimplies_2_1_U,axiom,
% 40.48/40.61 ! [P,Q] :
% 40.48/40.61 ( ~ hBOOL(Q)
% 40.48/40.61 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fimplies_3_1_U,axiom,
% 40.48/40.61 ! [P,Q] :
% 40.48/40.61 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))
% 40.48/40.61 | ~ hBOOL(P)
% 40.48/40.61 | hBOOL(Q) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fAll_1_1_fAll_000tc__Com__Ostate_U,axiom,
% 40.48/40.61 ! [X,P] :
% 40.48/40.61 ( ~ hBOOL(hAPP_f327114704l_bool(fAll_state,P))
% 40.48/40.61 | hBOOL(hAPP_state_bool(P,X)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fequal_1_1_fequal_000tc__Com__Opname_T,axiom,
% 40.48/40.61 ! [X,Y] :
% 40.48/40.61 ( ( is_pname(X)
% 40.48/40.61 & is_pname(Y) )
% 40.48/40.61 => ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y))
% 40.48/40.61 | X = Y ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fequal_2_1_fequal_000tc__Com__Opname_T,axiom,
% 40.48/40.61 ! [X,Y] :
% 40.48/40.61 ( X != Y
% 40.48/40.61 | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fequal_1_1_fequal_000tc__Com__Ostate_T,axiom,
% 40.48/40.61 ! [X,Y] :
% 40.48/40.61 ( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X),Y))
% 40.48/40.61 | X = Y ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fequal_2_1_fequal_000tc__Com__Ostate_T,axiom,
% 40.48/40.61 ! [X,Y] :
% 40.48/40.61 ( X != Y
% 40.48/40.61 | hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X),Y)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
% 40.48/40.61 ! [P,Q] :
% 40.48/40.61 ( is_bool(P)
% 40.48/40.61 => hAPP_pname_bool(cOMBK_bool_pname(P),Q) = P ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_If_1_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T,axiom,
% 40.48/40.61 ! [X,Y] : hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fTrue),X),Y) = X ).
% 40.48/40.61
% 40.48/40.61 fof(help_If_2_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T,axiom,
% 40.48/40.61 ! [X,Y] : hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fFalse),X),Y) = Y ).
% 40.48/40.61
% 40.48/40.61 fof(help_If_3_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T,axiom,
% 40.48/40.61 ! [P] :
% 40.48/40.61 ( is_bool(P)
% 40.48/40.61 => ( P = fTrue
% 40.48/40.61 | P = fFalse ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
% 40.48/40.61 ! [X,Y] :
% 40.48/40.61 ( ( is_fun_pname_bool(X)
% 40.48/40.61 & is_fun_pname_bool(Y) )
% 40.48/40.61 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y))
% 40.48/40.61 | X = Y ) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
% 40.48/40.61 ! [X,Y] :
% 40.48/40.61 ( X != Y
% 40.48/40.61 | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y)) ) ).
% 40.48/40.61
% 40.48/40.61 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
% 40.48/40.61 ! [P,Q,R] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBB_647938656_pname(P),Q),R) = hAPP_bool_bool(P,hAPP_pname_bool(Q,R)) ).
% 40.48/40.61
% 40.48/40.61 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
% 40.48/40.61 ! [P,Q,R] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(P),Q),R) = hAPP_bool_bool(P,hAPP_state_bool(Q,R)) ).
% 40.48/40.61
% 40.48/40.61 fof(help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 40.48/40.61 ! [P,Q,R] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,P),Q),R) = hAPP_bool_bool(hAPP_s58564346l_bool(P,R),Q) ).
% 40.48/40.61
% 40.48/40.61 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 40.48/40.61 ! [P,Q,R] : hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,P),Q),R) = hAPP_bool_bool(hAPP_p393069232l_bool(P,R),hAPP_pname_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__Com__Ostate_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,P),Q),R) = hAPP_bool_bool(hAPP_s58564346l_bool(P,R),hAPP_state_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_pname_bool(hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,P),Q),R) = hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__Com__Ostate_000tc__HOL__Obool_U,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,P),Q),R) = hAPP_state_bool(hAPP_s1806633685e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
% 40.48/40.62 ! [P,Q] :
% 40.48/40.62 ( is_bool(P)
% 40.48/40.62 => hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(P),Q) = P ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__Com__O,axiom,
% 40.48/40.62 ! [P,Q] : hAPP_s1806633685e_bool(cOMBK_631994958_state(P),Q) = P ).
% 40.48/40.62
% 40.48/40.62 fof(help_If_1_1_If_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate,axiom,
% 40.48/40.62 ! [X,Y] : hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fTrue),X),Y) = X ).
% 40.48/40.62
% 40.48/40.62 fof(help_If_2_1_If_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate,axiom,
% 40.48/40.62 ! [X,Y] : hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fFalse),X),Y) = Y ).
% 40.48/40.62
% 40.48/40.62 fof(help_If_3_1_If_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate,axiom,
% 40.48/40.62 ! [P] :
% 40.48/40.62 ( is_bool(P)
% 40.48/40.62 => ( P = fTrue
% 40.48/40.62 | P = fFalse ) ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com,axiom,
% 40.48/40.62 ! [X,Y] :
% 40.48/40.62 ( ~ hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X),Y))
% 40.48/40.62 | X = Y ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com,axiom,
% 40.48/40.62 ! [X,Y] :
% 40.48/40.62 ( X != Y
% 40.48/40.62 | hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X),Y)) ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Com__Ocom_J_000tc__Com__Ocom_00,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_pname_com(hAPP_f96342628me_com(cOMBB_923936821_pname(P),Q),R) = hAPP_option_com_com(P,hAPP_p799580910on_com(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBB_307249310e_bool(P),Q),R) = hAPP_bool_bool(P,hAPP_f1664156314l_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p393069232l_bool(hAPP_f1402196763l_bool(cOMBB_675860798_pname(P),Q),R) = hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(P),Q),R) = hAPP_b589554111l_bool(P,hAPP_state_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,P),Q),R) = hAPP_bool_bool(hAPP_f1476298914l_bool(P,R),hAPP_f1664156314l_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_pname_bool(hAPP_f42430548e_bool(cOMBB_530759491_pname(P),Q),R) = hAPP_f1664156314l_bool(P,hAPP_p61793385e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__HOL__O,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_state_bool(hAPP_f1012183542e_bool(cOMBB_1911358915_state(P),Q),R) = hAPP_f327114704l_bool(P,hAPP_s1806633685e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,P),Q),R) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__HOL__Obool_000tc__fun_Itc__Com__O,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_s1806633685e_bool(hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,P),Q),R) = hAPP_b2019457360e_bool(hAPP_s1874344717e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,P),Q),R) = hAPP_pname_bool(hAPP_f759274231e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p61793385e_bool(hAPP_f1336811455e_bool(cOMBB_542850580_pname(P),Q),R) = hAPP_p61793385e_bool(P,hAPP_pname_pname(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__,axiom,
% 40.48/40.62 ! [P,Q] :
% 40.48/40.62 ( is_bool(P)
% 40.48/40.62 => hAPP_H513860823e_bool(cOMBK_1079618832_state(P),Q) = P ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Hoare____Mirabelle____ddpglwnxwg_,axiom,
% 40.48/40.62 ! [P,Q] :
% 40.48/40.62 ( is_pname(P)
% 40.48/40.62 => hAPP_H1344248906_pname(cOMBK_588224941_state(P),Q) = P ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__,axiom,
% 40.48/40.62 ! [P,Q] : hAPP_p1842370726_state(cOMBK_90103121_pname(P),Q) = P ).
% 40.48/40.62
% 40.48/40.62 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple,axiom,
% 40.48/40.62 ! [X,Y] :
% 40.48/40.62 ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X),Y))
% 40.48/40.62 | X = Y ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple,axiom,
% 40.48/40.62 ! [X,Y] :
% 40.48/40.62 ( X != Y
% 40.48/40.62 | hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X),Y)) ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Ocom_J_,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p799580910on_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,P),Q),R) = hAPP_o356497025on_com(hAPP_p1086945780on_com(P,R),hAPP_p799580910on_com(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____ddpglwnxwg__O,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p1842370726_state(hAPP_f1758910594_state(cOMBB_422605457_pname(P),Q),R) = hAPP_c1546227244_state(P,hAPP_pname_com(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(cOMBB_416661851_state(P),Q),R) = hAPP_bool_bool(P,hAPP_H513860823e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,P),Q),R) = hAPP_bool_bool(hAPP_H226398757l_bool(P,R),hAPP_H513860823e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Hoare____Mirabelle____ddpglwnxwg_,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_pname_bool(hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,P),Q),R) = hAPP_H513860823e_bool(hAPP_p877885514e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H513860823e_bool(hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,P),Q),R) = hAPP_pname_bool(hAPP_H1632039476e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1476298914l_bool(hAPP_f143162813l_bool(cOMBB_2095475776e_bool(P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,P),Q),R) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_012,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f759274231e_bool(hAPP_f1385420507e_bool(cOMBB_598082538e_bool(P),Q),R) = hAPP_p61793385e_bool(P,hAPP_f1297739591_pname(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_013,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p61793385e_bool(hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,P),Q),R) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Ob,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_s1806633685e_bool(hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,P),Q),R) = hAPP_f1759915619e_bool(hAPP_s1226857760e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____ddp,axiom,
% 40.48/40.62 ! [P,Q] :
% 40.48/40.62 ( is_bool(P)
% 40.48/40.62 => hAPP_f1760790145l_bool(cOMBK_564432736e_bool(P),Q) = P ) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(P),Q),R) = hAPP_bool_bool(P,hAPP_f1760790145l_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_014,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H226398757l_bool(hAPP_f1558728829l_bool(cOMBB_1382207997_state(P),Q),R) = hAPP_b589554111l_bool(P,hAPP_H513860823e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,P),Q),R) = hAPP_bool_bool(hAPP_f1508101115l_bool(P,R),hAPP_f1760790145l_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Hoare____Mirabelle____dd,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_pname_bool(hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,P),Q),R) = hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___015,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H513860823e_bool(hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,P),Q),R) = hAPP_f1664156314l_bool(hAPP_H737849090l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Hoare_,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,P),Q),R) = hAPP_H513860823e_bool(hAPP_f631639356e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,P),Q),R) = hAPP_pname_bool(hAPP_f1745235422e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_016,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H1632039476e_bool(hAPP_f833390165e_bool(cOMBB_1456120487_state(P),Q),R) = hAPP_p61793385e_bool(P,hAPP_H1344248906_pname(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_017,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,P),Q),R) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p338031245l_bool(hAPP_f567934427l_bool(cOMBB_408569982_pname(P),Q),R) = hAPP_f434788991l_bool(P,hAPP_p61793385e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_s2001034685l_bool(hAPP_f1283379615l_bool(cOMBB_1759179140_state(P),Q),R) = hAPP_f1259673775l_bool(P,hAPP_s1806633685e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It_018,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_s336103912e_bool(hAPP_f249262236e_bool(cOMBB_1476898461_state(P),Q),R) = hAPP_f1863945078e_bool(P,hAPP_s1806633685e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__Com__Ostate_Mtc__,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_s1806633685e_bool(hAPP_f1935169308e_bool(cOMBB_1036740637_state(P),Q),R) = hAPP_f1012183542e_bool(P,hAPP_s336103912e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Ocom_J__019,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p1086945780on_com(hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,P),Q),R) = hAPP_o334540577on_com(hAPP_p1164893188on_com(P,R),hAPP_p799580910on_com(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___020,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H513860823e_bool(hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,P),Q),R) = hAPP_H513860823e_bool(hAPP_H1645666623e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Hoare____Mirabelle____ddpglwnxwg_,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p1842370726_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,P),Q),R) = hAPP_H563960305_state(hAPP_p80247908_state(P,R),hAPP_p1842370726_state(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_021,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1508101115l_bool(hAPP_f482022705l_bool(cOMBB_2020112947e_bool(P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f1760790145l_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_022,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1745235422e_bool(hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(P),Q),R) = hAPP_p61793385e_bool(P,hAPP_f1008690464_pname(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p1842370726_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,P),Q),R) = hAPP_f588507005_state(hAPP_p1712839024_state(P,R),hAPP_p1637813682e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,P),Q),R) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_s1874344717e_bool(hAPP_f873506917e_bool(cOMBB_1757942702_state(P),Q),R) = hAPP_f167292325e_bool(P,hAPP_s2001034685l_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__Option__Ooption_Itc__Com_,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p1164893188on_com(hAPP_f755519727on_com(cOMBB_1394247784_pname(P),Q),R) = hAPP_b1679505845on_com(P,hAPP_pname_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H513860823e_bool(hAPP_f1456107715e_bool(cOMBB_1653402815_state(P),Q),R) = hAPP_f1760790145l_bool(P,hAPP_H1645666623e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___023,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,P),Q),R) = hAPP_f1760790145l_bool(hAPP_H248360617l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_024,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1760790145l_bool(hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,P),Q),R) = hAPP_H513860823e_bool(hAPP_f921536533e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p877885514e_bool(hAPP_f998786331e_bool(cOMBB_799949246_pname(P),Q),R) = hAPP_H1645666623e_bool(P,hAPP_p1842370726_state(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_025,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H737849090l_bool(hAPP_f376825399l_bool(cOMBB_1722165949_state(P),Q),R) = hAPP_f434788991l_bool(P,hAPP_H1632039476e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Com__Ocom_000tc__fun_Itc__fun_Itc,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p1712839024_state(hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,P),Q),R) = hAPP_c408625258_state(hAPP_p2032835427_state(P,R),hAPP_pname_com(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H_026,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_s1226857760e_bool(hAPP_f1138284024e_bool(cOMBB_20296667_state(P),Q),R) = hAPP_f644196280e_bool(P,hAPP_s2001034685l_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_027,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1760790145l_bool(hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,P),Q),R) = hAPP_f1760790145l_bool(hAPP_f854625363l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___028,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f631639356e_bool(hAPP_f547518321e_bool(cOMBB_1170234304e_bool(P),Q),R) = hAPP_H1645666623e_bool(P,hAPP_f1308959284_state(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___029,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H1645666623e_bool(hAPP_f1844318385e_bool(cOMBB_291471741_state(P),Q),R) = hAPP_H1645666623e_bool(P,hAPP_H563960305_state(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Hoare____Mirabelle____ddpglwnxwg__030,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p80247908_state(hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,P),Q),R) = hAPP_H521649881_state(hAPP_p964374716_state(P,R),hAPP_p1842370726_state(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_031,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,P),Q),R) = hAPP_f239102607l_bool(hAPP_f105100493l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_032,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p1617973726l_bool(hAPP_f2081555625l_bool(cOMBB_44445098_pname(P),Q),R) = hAPP_f854625363l_bool(P,hAPP_p877885514e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___033,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f921536533e_bool(hAPP_f481659057e_bool(cOMBB_1099197107e_bool(P),Q),R) = hAPP_H1645666623e_bool(P,hAPP_f2143211163_state(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___034,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H1645666623e_bool(hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,P),Q),R) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____ddp,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p964374716_state(hAPP_f1405979047_state(cOMBB_707293872_pname(P),Q),R) = hAPP_b798484845_state(P,hAPP_pname_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_f239102607l_bool(hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,P),Q),R) = hAPP_f239102607l_bool(hAPP_f1269496639l_bool(P,R),Q) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__Com__Ostate_Mtc___035,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_p2032835427_state(hAPP_f950918952_state(cOMBB_2123334001_pname(P),Q),R) = hAPP_f1949912908_state(P,hAPP_p1637813682e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_036,axiom,
% 40.48/40.62 ! [P,Q,R] : hAPP_H248360617l_bool(hAPP_f1862834069l_bool(cOMBB_1239130257_state(P),Q),R) = hAPP_f854625363l_bool(P,hAPP_H1645666623e_bool(Q,R)) ).
% 40.48/40.62
% 40.48/40.62 %----Conjectures (8)
% 40.48/40.62 fof(conj_0,hypothesis,
% 40.48/40.62 hBOOL(hoare_298929751gleton) ).
% 40.48/40.62
% 40.48/40.62 fof(conj_1,hypothesis,
% 40.48/40.62 hBOOL(wT_bodies) ).
% 40.48/40.62
% 40.48/40.62 fof(conj_2,hypothesis,
% 40.48/40.62 hBOOL(hAPP_f1760790145l_bool(finite784854244_state,fa)) ).
% 40.48/40.62
% 40.48/40.62 fof(conj_3,hypothesis,
% 40.48/40.62 ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),fa)) ).
% 40.48/40.62
% 40.48/40.62 fof(conj_4,hypothesis,
% 40.48/40.62 hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,fa),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),dom_pname_com(body)))) ).
% 40.48/40.62
% 40.48/40.62 fof(conj_5,hypothesis,
% 40.48/40.62 hAPP_p799580910on_com(body,pn) = some_com(y) ).
% 40.48/40.62
% 40.48/40.62 fof(conj_6,hypothesis,
% 40.48/40.62 hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)) ).
% 40.48/40.62
% 40.48/40.62 fof(conj_7,conjecture,
% 40.48/40.62 hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ).
% 40.48/40.62
% 40.48/40.62 %------------------------------------------------------------------------------
% 40.48/40.62 %-------------------------------------------
% 40.48/40.62 % Proof found
% 40.48/40.62 % SZS status Theorem for theBenchmark
% 40.48/40.62 % SZS output start Proof
% 40.48/40.62 %ClaNum:2133(EqnAxiom:843)
% 40.48/40.62 %VarNum:6673(SingletonVarNum:2609)
% 40.48/40.62 %MaxLitNum:9
% 40.48/40.62 %MaxfuncDepth:13
% 40.48/40.62 %SharedTerms:287
% 40.48/40.62 %goalClause: 1156
% 40.48/40.62 %singleGoalClaCount:1
% 40.48/40.62 [844]P1(a1)
% 40.48/40.62 [845]P1(a2)
% 40.48/40.62 [846]P1(a3)
% 40.48/40.62 [847]P1(a11)
% 40.48/40.62 [848]P1(a266)
% 40.48/40.62 [849]P3(a4)
% 40.48/40.62 [850]P4(a268)
% 40.48/40.62 [851]P4(a5)
% 40.48/40.62 [852]P5(a462)
% 40.48/40.62 [853]P2(a1)
% 40.48/40.62 [854]P2(a2)
% 40.48/40.62 [1134]~P2(a11)
% 40.48/40.62 [855]P5(f501(a500))
% 40.48/40.62 [859]E(f425(a6,a462),f502(a526))
% 40.48/40.62 [869]P2(f294(a527,a503))
% 40.48/40.62 [870]P2(f316(a268,a4))
% 40.48/40.62 [871]P2(f352(a269,a7))
% 40.48/40.62 [872]P2(f352(a269,a270))
% 40.48/40.62 [873]P2(f355(a271,a5))
% 40.48/40.62 [874]P2(f369(a287,a10))
% 40.48/40.62 [860]E(f367(a96,f15(a11)),a4)
% 40.48/40.62 [861]E(f368(a93,f16(a11)),a5)
% 40.48/40.62 [862]E(f291(a13,f17(a11)),a7)
% 40.48/40.62 [863]E(f292(a14,f78(a11)),a10)
% 40.48/40.62 [900]P2(f316(a268,f12(a6)))
% 40.48/40.62 [920]P3(f521(f298(a500,a8)))
% 40.48/40.62 [1010]P4(f525(f298(f298(a500,a8),a8)))
% 40.48/40.62 [1103]P2(f352(f415(a487,a270),f401(f470(f354(f46(a466),f428(f50(a518),a6))),f12(a6))))
% 40.48/40.62 [1155]~P2(f352(f300(a489,f313(a466,a526)),a270))
% 40.48/40.62 [1102]P2(f352(f464(f401(f470(f354(f46(a466),a9)),f12(a6))),a270))
% 40.48/40.62 [1156]~P2(f352(f464(f401(f470(f354(f46(a466),a9)),f12(a6))),f291(f303(a473,f313(a466,a526)),a7)))
% 40.48/40.62 [856]P3(f12(x8561))
% 40.48/40.62 [857]E(f291(a13,x8571),x8571)
% 40.48/40.62 [858]E(f292(a14,x8581),x8581)
% 40.48/40.62 [1136]~E(f453(a9,x11361),a503)
% 40.48/40.62 [864]E(f293(f463(x8641),a7),a4)
% 40.48/40.62 [865]E(f401(f470(x8651),a4),a7)
% 40.48/40.62 [866]E(f426(a518,f502(x8661)),x8661)
% 40.48/40.62 [902]E(f367(f318(a504,a4),x9021),a4)
% 40.48/40.62 [904]E(f291(f335(a509,a7),x9041),a7)
% 40.48/40.62 [906]E(f291(f335(a512,a7),x9061),x9061)
% 40.48/40.62 [908]E(f367(f318(a504,x9081),a4),a4)
% 40.48/40.62 [910]E(f291(f335(a509,x9101),a7),a7)
% 40.48/40.62 [912]E(f291(f335(a512,x9121),a7),x9121)
% 40.48/40.62 [915]E(f291(f335(a512,x9151),x9151),x9151)
% 40.48/40.62 [916]P2(f352(f464(x9161),a7))
% 40.48/40.62 [917]E(f367(f447(a472,x9171),a4),f514(f519(x9171)))
% 40.48/40.62 [918]E(f291(f303(a473,x9181),a7),f515(f517(x9181)))
% 40.48/40.62 [919]E(f347(f306(a484,x9191),a18),f516(f502(x9191)))
% 40.48/40.62 [922]P2(f316(f393(a486,a4),x9221))
% 40.48/40.62 [924]P2(f352(f415(a487,a7),x9241))
% 40.48/40.62 [925]E(f367(f447(a472,x9251),a4),f367(a96,f442(a274,x9251)))
% 40.48/40.62 [926]E(f368(f319(a474,x9261),a5),f368(a93,f393(a275,x9261)))
% 40.48/40.62 [927]E(f291(f303(a473,x9271),a7),f291(a13,f299(a276,x9271)))
% 40.48/40.62 [928]E(f292(f402(a485,x9281),a10),f292(a14,f415(a279,x9281)))
% 40.48/40.62 [934]P2(f316(f393(a486,x9341),x9341))
% 40.48/40.62 [936]P2(f352(f415(a487,x9361),x9361))
% 40.48/40.62 [978]E(f404(f314(f366(a460,a280),x9781),f97(x9781)),f313(a466,x9781))
% 40.48/40.62 [1009]E(f404(f314(f366(a460,f98(x10091)),f129(x10091)),f130(x10091)),x10091)
% 40.48/40.62 [1152]~P2(f316(f443(a488,x11521),a4))
% 40.48/40.62 [1154]~P2(f352(f300(a489,x11541),a7))
% 40.48/40.62 [941]E(f370(a522,f291(f303(a473,x9411),a7)),x9411)
% 40.48/40.62 [977]P2(f455(f446(f97(a503),x9771),x9771))
% 40.48/40.62 [981]E(f367(a96,f442(f381(a54,a274),x9811)),f367(f447(a472,x9811),a4))
% 40.48/40.62 [982]E(f368(a93,f393(f331(a60,a275),x9821)),f368(f319(a474,x9821),a5))
% 40.48/40.62 [983]E(f291(a13,f299(f386(a62,a276),x9831)),f291(f303(a473,x9831),a7))
% 40.48/40.62 [984]E(f292(a14,f415(f375(a55,a279),x9841)),f292(f402(a485,x9841),a10))
% 40.48/40.62 [1057]E(f321(a523,f392(f20(f393(a275,x10571)),f359(f411(a58,a472),a4))),f321(a524,x10571))
% 40.48/40.62 [1058]E(f370(a520,f336(f32(f415(a279,x10581)),f418(f431(a73,a473),a7))),f370(a522,x10581))
% 40.48/40.62 [875]P1(f272(x8751,x8752))
% 40.48/40.62 [876]P1(f286(x8761,x8762))
% 40.48/40.62 [877]P1(f282(x8771,x8772))
% 40.48/40.62 [878]P1(f283(x8781,x8782))
% 40.48/40.62 [879]P1(f288(x8791,x8792))
% 40.48/40.62 [880]P1(f285(x8801,x8802))
% 40.48/40.62 [881]P1(f273(x8811,x8812))
% 40.48/40.62 [882]P1(f290(x8821,x8822))
% 40.48/40.62 [883]P1(f294(x8831,x8832))
% 40.48/40.62 [884]P1(f455(x8841,x8842))
% 40.48/40.62 [885]P1(f295(x8851,x8852))
% 40.48/40.62 [886]P1(f427(x8861,x8862))
% 40.48/40.62 [887]P1(f383(x8871,x8872))
% 40.48/40.62 [888]P1(f352(x8881,x8882))
% 40.48/40.62 [889]P1(f369(x8891,x8892))
% 40.48/40.62 [890]P1(f389(x8901,x8902))
% 40.48/40.62 [891]P1(f356(x8911,x8912))
% 40.48/40.62 [892]P3(f296(x8921,x8922))
% 40.48/40.62 [893]P3(f392(x8931,x8932))
% 40.48/40.62 [894]P3(f293(x8941,x8942))
% 40.48/40.62 [895]P3(f384(x8951,x8952))
% 40.48/40.62 [896]P4(f302(x8961,x8962))
% 40.48/40.62 [897]P4(f406(x8971,x8972))
% 40.48/40.62 [898]P5(f297(x8981,x8982))
% 40.48/40.62 [899]P5(f317(x8991,x8992))
% 40.48/40.62 [1139]~E(f528(x11391,x11392),a503)
% 40.48/40.62 [1140]~E(f506(x11401,x11402),a503)
% 40.48/40.62 [867]E(f435(f79(x8671),x8672),x8671)
% 40.48/40.62 [868]E(f446(f80(x8681),x8682),x8681)
% 40.48/40.62 [932]E(f291(f335(a512,x9321),x9322),f291(f335(a512,x9322),x9321))
% 40.48/40.62 [1149]~E(f367(f447(a472,x11491),x11492),a4)
% 40.48/40.62 [1150]~E(f291(f303(a473,x11501),x11502),a7)
% 40.48/40.62 [937]E(f305(f304(f307(a465,a11),x9371),x9372),x9372)
% 40.48/40.62 [938]E(f305(f304(f307(a465,a266),x9381),x9382),x9381)
% 40.48/40.62 [939]E(f434(f432(f308(a467,a11),x9391),x9392),x9392)
% 40.48/40.62 [940]E(f434(f432(f308(a467,a266),x9401),x9402),x9401)
% 40.48/40.62 [979]E(f291(f335(a512,x9791),f291(f335(a509,x9791),x9792)),x9791)
% 40.48/40.62 [980]E(f291(f335(a509,x9801),f291(f335(a512,x9801),x9802)),x9801)
% 40.48/40.62 [1011]E(f367(f447(a472,x10111),f367(f447(a472,x10111),x10112)),f367(f447(a472,x10111),x10112))
% 40.48/40.62 [1012]E(f291(f303(a473,x10121),f291(f303(a473,x10121),x10122)),f291(f303(a473,x10121),x10122))
% 40.48/40.62 [1016]E(f291(f335(a512,x10161),f291(f335(a512,x10161),x10162)),f291(f335(a512,x10161),x10162))
% 40.48/40.62 [1040]P2(f316(f443(a488,x10401),f367(f447(a472,x10401),x10402)))
% 40.48/40.62 [1041]P2(f316(f393(a486,x10411),f367(f447(a472,x10412),x10411)))
% 40.48/40.62 [1044]P2(f316(f393(a486,x10441),f367(f318(a513,x10442),x10441)))
% 40.48/40.62 [1047]P2(f316(f393(a486,x10471),f367(f318(a513,x10471),x10472)))
% 40.48/40.62 [1048]P2(f352(f415(a487,x10481),f291(f303(a473,x10482),x10481)))
% 40.48/40.62 [1051]P2(f352(f415(a487,x10511),f291(f335(a512,x10512),x10511)))
% 40.48/40.62 [1054]P2(f352(f415(a487,x10541),f291(f335(a512,x10541),x10542)))
% 40.48/40.62 [1055]P2(f352(f300(a489,x10551),f291(f303(a473,x10551),x10552)))
% 40.48/40.62 [1028]E(f367(f318(a513,f367(f447(a472,x10281),a4)),x10282),f367(f447(a472,x10281),x10282))
% 40.48/40.62 [1029]E(f291(f335(a512,f291(f303(a473,x10291),a7)),x10292),f291(f303(a473,x10291),x10292))
% 40.48/40.62 [1059]E(f367(f447(a472,x10591),f367(f318(a493,x10592),f367(f447(a472,x10591),a4))),f367(f447(a472,x10591),x10592))
% 40.48/40.62 [1060]E(f291(f303(a473,x10601),f291(f335(a494,x10602),f291(f303(a473,x10601),a7))),f291(f303(a473,x10601),x10602))
% 40.48/40.62 [1083]P2(f316(f393(a486,f367(f318(a504,x10831),x10832)),x10832))
% 40.48/40.62 [1086]P2(f316(f393(a486,f367(f318(a504,x10861),x10862)),x10861))
% 40.48/40.62 [1089]P2(f352(f415(a487,f291(f335(a509,x10891),x10892)),x10892))
% 40.48/40.62 [1092]P2(f352(f415(a487,f291(f335(a509,x10921),x10922)),x10921))
% 40.48/40.62 [1105]E(f367(a96,f367(f409(a82,f337(f52(a278),f442(f381(a54,a274),x11051))),f367(f408(a57,a488),x11052))),f367(f447(a472,x11051),x11052))
% 40.48/40.62 [1106]E(f367(a96,f367(f409(a82,f337(f52(a278),f367(f408(a57,a488),x11061))),f367(f408(a57,a488),x11062))),f367(f318(a513,x11061),x11062))
% 40.48/40.62 [1107]E(f367(a96,f367(f409(a82,f337(f52(a277),f367(f408(a57,a488),x11071))),f367(f408(a57,a488),x11072))),f367(f318(a504,x11071),x11072))
% 40.48/40.62 [1109]E(f368(a93,f368(f405(a85,f338(f41(a278),f393(f331(a60,a275),x11091))),f368(f325(a67,a490),x11092))),f368(f319(a474,x11091),x11092))
% 40.48/40.62 [1110]E(f368(a93,f368(f405(a85,f338(f41(a278),f368(f325(a67,a490),x11101))),f368(f325(a67,a490),x11102))),f368(f382(a510,x11101),x11102))
% 40.48/40.62 [1111]E(f368(a93,f368(f405(a85,f338(f41(a277),f368(f325(a67,a490),x11111))),f368(f325(a67,a490),x11112))),f368(f382(a505,x11111),x11112))
% 40.48/40.62 [1113]E(f291(a13,f291(f419(a84,f341(f28(a278),f299(f386(a62,a276),x11131))),f291(f327(a70,a489),x11132))),f291(f303(a473,x11131),x11132))
% 40.48/40.62 [1114]E(f291(a13,f291(f419(a84,f341(f28(a278),f291(f327(a70,a489),x11141))),f291(f327(a70,a489),x11142))),f291(f335(a512,x11141),x11142))
% 40.48/40.62 [1115]E(f291(a13,f291(f419(a84,f341(f28(a277),f291(f327(a70,a489),x11151))),f291(f327(a70,a489),x11152))),f291(f335(a509,x11151),x11152))
% 40.48/40.62 [1117]E(f292(a14,f292(f361(a86,f396(f43(a278),f415(f375(a55,a279),x11171))),f292(f397(a61,a491),x11172))),f292(f402(a485,x11171),x11172))
% 40.48/40.62 [1118]E(f292(a14,f292(f361(a86,f396(f43(a278),f292(f397(a61,a491),x11181))),f292(f397(a61,a491),x11182))),f292(f346(a511,x11181),x11182))
% 40.48/40.62 [1119]E(f292(a14,f292(f361(a86,f396(f43(a277),f292(f397(a61,a491),x11191))),f292(f397(a61,a491),x11192))),f292(f346(a507,x11191),x11192))
% 40.48/40.62 [1067]E(f367(a96,f367(f409(a82,f337(f52(a277),x10671)),x10672)),f367(f318(a504,f367(a96,x10671)),f367(a96,x10672)))
% 40.48/40.62 [1068]E(f367(a96,f367(f409(a82,f337(f52(a278),x10681)),x10682)),f367(f318(a513,f367(a96,x10681)),f367(a96,x10682)))
% 40.48/40.62 [1069]E(f368(a93,f368(f405(a85,f338(f41(a277),x10691)),x10692)),f368(f382(a505,f368(a93,x10691)),f368(a93,x10692)))
% 40.48/40.62 [1070]E(f368(a93,f368(f405(a85,f338(f41(a278),x10701)),x10702)),f368(f382(a510,f368(a93,x10701)),f368(a93,x10702)))
% 40.48/40.62 [1071]E(f291(a13,f291(f419(a84,f341(f28(a277),x10711)),x10712)),f291(f335(a509,f291(a13,x10711)),f291(a13,x10712)))
% 40.48/40.62 [1072]E(f291(a13,f291(f419(a84,f341(f28(a278),x10721)),x10722)),f291(f335(a512,f291(a13,x10721)),f291(a13,x10722)))
% 40.48/40.62 [1073]E(f292(a14,f292(f361(a86,f396(f43(a277),x10731)),x10732)),f292(f346(a507,f292(a14,x10731)),f292(a14,x10732)))
% 40.48/40.62 [1074]E(f292(a14,f292(f361(a86,f396(f43(a278),x10741)),x10742)),f292(f346(a511,f292(a14,x10741)),f292(a14,x10742)))
% 40.48/40.62 [1093]E(f367(f318(a513,f367(a96,f442(f381(a54,a274),x10931))),x10932),f367(f447(a472,x10931),x10932))
% 40.48/40.62 [1094]E(f368(f382(a510,f368(a93,f393(f331(a60,a275),x10941))),x10942),f368(f319(a474,x10941),x10942))
% 40.48/40.62 [1095]E(f291(f335(a512,f291(a13,f299(f386(a62,a276),x10951))),x10952),f291(f303(a473,x10951),x10952))
% 40.48/40.62 [1096]E(f292(f346(a511,f292(a14,f415(f375(a55,a279),x10961))),x10962),f292(f402(a485,x10961),x10962))
% 40.48/40.62 [1122]P2(f352(f464(x11221),f291(f303(a473,f404(f314(f366(a460,x11222),a503),x11222)),a7)))
% 40.48/40.62 [1123]E(f367(a96,f367(f409(a82,f337(f52(a281),f367(f19(a267),f442(f381(a54,a274),x11231)))),x11232)),f367(f447(a472,x11231),f367(a96,x11232)))
% 40.48/40.62 [1124]E(f368(a93,f368(f405(a85,f338(f41(a281),f368(f38(a267),f393(f331(a60,a275),x11241)))),x11242)),f368(f319(a474,x11241),f368(a93,x11242)))
% 40.48/40.62 [1125]E(f291(a13,f291(f419(a84,f341(f28(a281),f291(f45(a267),f299(f386(a62,a276),x11251)))),x11252)),f291(f303(a473,x11251),f291(a13,x11252)))
% 40.48/40.62 [1126]E(f292(a14,f292(f361(a86,f396(f43(a281),f292(f39(a267),f415(f375(a55,a279),x11261)))),x11262)),f292(f402(a485,x11261),f292(a14,x11262)))
% 40.48/40.62 [1141]~E(f528(x11411,x11412),f453(a9,x11413))
% 40.48/40.62 [1142]~E(f506(x11421,x11422),f453(a9,x11423))
% 40.48/40.62 [1143]~E(f453(a9,x11431),f528(x11432,x11433))
% 40.48/40.62 [1144]~E(f453(a9,x11441),f506(x11442,x11443))
% 40.48/40.62 [942]E(f450(f367(f19(x9421),x9422),x9423),f312(x9421,f450(x9422,x9423)))
% 40.48/40.62 [943]E(f450(f392(f20(x9431),x9432),x9433),f316(x9431,f442(x9432,x9433)))
% 40.48/40.62 [944]E(f442(f332(f48(x9441),x9442),x9443),f442(x9441,f452(x9442,x9443)))
% 40.48/40.62 [945]E(f443(f403(f21(x9451),x9452),x9453),f393(x9451,f442(x9452,x9453)))
% 40.48/40.62 [946]E(f455(f353(f22(x9461),x9462),x9463),f312(x9461,f455(x9462,x9463)))
% 40.48/40.62 [947]E(f455(f320(f31(x9471),x9472),x9473),f383(x9471,f446(x9472,x9473)))
% 40.48/40.62 [948]E(f295(f291(f45(x9481),x9482),x9483),f312(x9481,f295(x9482,x9483)))
% 40.48/40.62 [949]E(f295(f336(f32(x9491),x9492),x9493),f352(x9491,f299(x9492,x9493)))
% 40.48/40.62 [950]E(f296(f416(f23(x9501),x9502),x9503),f442(x9501,f297(x9502,x9503)))
% 40.48/40.62 [951]E(f302(f390(f33(x9511),x9512),x9513),f393(x9511,f296(x9512,x9513)))
% 40.48/40.62 [952]E(f316(f368(f38(x9521),x9522),x9523),f312(x9521,f316(x9522,x9523)))
% 40.48/40.62 [953]E(f367(f333(f49(x9531),x9532),x9533),f442(x9531,f321(x9532,x9533)))
% 40.48/40.62 [954]E(f352(f292(f39(x9541),x9542),x9543),f312(x9541,f352(x9542,x9543)))
% 40.48/40.62 [955]E(f293(f371(f34(x9551),x9552),x9553),f442(x9551,f317(x9552,x9553)))
% 40.48/40.62 [956]E(f291(f394(f24(x9561),x9562),x9563),f299(x9561,f370(x9562,x9563)))
% 40.48/40.62 [957]E(f453(f428(f50(x9571),x9572),x9573),f426(x9571,f425(x9572,x9573)))
% 40.48/40.62 [958]E(f401(f395(f26(x9581),x9582),x9583),f299(x9581,f330(x9582,x9583)))
% 40.48/40.62 [959]E(f300(f357(f27(x9591),x9592),x9593),f415(x9591,f299(x9592,x9593)))
% 40.48/40.62 [960]E(f435(f354(f46(x9601),x9602),x9603),f313(x9601,f453(x9602,x9603)))
% 40.48/40.62 [961]E(f299(f358(f40(x9611),x9612),x9613),f299(x9611,f305(x9612,x9613)))
% 40.48/40.62 [962]E(f448(f433(f51(x9621),x9622),x9623),f299(x9621,f435(x9622,x9623)))
% 40.48/40.62 [963]E(f436(f372(f47(x9631),x9632),x9633),f415(x9631,f448(x9632,x9633)))
% 40.48/40.62 [964]E(f446(f365(f25(x9641),x9642),x9643),f320(x9641,f456(x9642,x9643)))
% 40.48/40.62 [965]E(f459(f322(f35(x9651),x9652),x9653),f310(x9651,f455(x9652,x9653)))
% 40.48/40.62 [966]E(f445(f337(f52(x9661),x9662),x9663),f310(x9661,f450(x9662,x9663)))
% 40.48/40.62 [967]E(f340(f338(f41(x9671),x9672),x9673),f310(x9671,f316(x9672,x9673)))
% 40.48/40.62 [968]E(f457(f423(f36(x9681),x9682),x9683),f348(x9681,f458(x9682,x9683)))
% 40.48/40.62 [969]E(f301(f341(f28(x9691),x9692),x9693),f310(x9691,f295(x9692,x9693)))
% 40.48/40.62 [970]E(f454(f323(f42(x9701),x9702),x9703),f407(x9701,f458(x9702,x9703)))
% 40.48/40.62 [971]E(f342(f396(f43(x9711),x9712),x9713),f310(x9711,f352(x9712,x9713)))
% 40.48/40.62 [972]E(f458(f326(f37(x9721),x9722),x9723),f322(x9721,f446(x9722,x9723)))
% 40.48/40.62 [973]E(f456(f385(f30(x9731),x9732),x9733),f362(x9731,f446(x9732,x9733)))
% 40.48/40.62 [974]E(f437(f414(f29(x9741),x9742),x9743),f308(x9741,f450(x9742,x9743)))
% 40.48/40.62 [975]E(f444(f429(f44(x9751),x9752),x9753),f366(x9751,f440(x9752,x9753)))
% 40.48/40.62 [976]E(f451(f339(f53(x9761),x9762),x9763),f307(x9761,f450(x9762,x9763)))
% 40.48/40.62 [985]E(f450(f442(f381(a54,x9851),x9852),x9853),f450(f442(x9851,x9853),x9852))
% 40.48/40.62 [986]E(f450(f296(f349(a64,x9861),x9862),x9863),f295(f448(x9861,x9863),x9862))
% 40.48/40.62 [987]E(f450(f367(f408(a57,x9871),x9872),x9873),f316(f443(x9871,x9873),x9872))
% 40.48/40.62 [988]E(f450(f293(f343(a65,x9881),x9882),x9883),f352(f436(x9881,x9883),x9882))
% 40.48/40.62 [989]E(f442(f359(f411(a58,x9891),x9892),x9893),f367(f447(x9891,x9893),x9892))
% 40.48/40.62 [990]E(f455(f446(f417(a66,x9901),x9902),x9903),f455(f446(x9901,x9903),x9902))
% 40.48/40.62 [991]E(f455(f311(f348(a69,x9911),x9912),x9913),f312(f459(x9911,x9913),x9912))
% 40.48/40.62 [992]E(f295(f291(f327(a70,x9921),x9922),x9923),f352(f300(x9921,x9923),x9922))
% 40.48/40.62 [993]E(f295(f401(f351(a71,x9931),x9932),x9933),f316(f302(x9931,x9933),x9932))
% 40.48/40.62 [994]E(f295(f299(f386(a62,x9941),x9942),x9943),f295(f299(x9941,x9943),x9942))
% 40.48/40.62 [995]E(f295(f448(f388(a75,x9951),x9952),x9953),f450(f296(x9951,x9953),x9952))
% 40.48/40.62 [996]E(f316(f443(f376(a56,x9961),x9962),x9963),f450(f367(x9961,x9963),x9962))
% 40.48/40.62 [997]E(f316(f302(f387(a68,x9971),x9972),x9973),f295(f401(x9971,x9973),x9972))
% 40.48/40.62 [998]E(f316(f393(f331(a60,x9981),x9982),x9983),f316(f393(x9981,x9983),x9982))
% 40.48/40.62 [999]E(f316(f368(f325(a67,x9991),x9992),x9993),f355(f400(x9991,x9993),x9992))
% 40.48/40.62 [1000]E(f352(f415(f375(a55,x10001),x10002),x10003),f352(f415(x10001,x10003),x10002))
% 40.48/40.62 [1001]E(f352(f292(f397(a61,x10011),x10012),x10013),f369(f324(x10011,x10013),x10012))
% 40.48/40.62 [1002]E(f352(f300(f398(a63,x10021),x10022),x10023),f295(f291(x10021,x10023),x10022))
% 40.48/40.62 [1003]E(f352(f436(f373(a72,x10031),x10032),x10033),f450(f293(x10031,x10033),x10032))
% 40.48/40.62 [1004]E(f355(f399(f363(a76,x10041),x10042),x10043),f355(f399(x10041,x10043),x10042))
% 40.48/40.62 [1005]E(f369(f328(f344(a59,x10051),x10052),x10053),f369(f328(x10051,x10053),x10052))
% 40.48/40.62 [1006]E(f299(f418(f431(a73,x10061),x10062),x10063),f291(f303(x10061,x10063),x10062))
% 40.48/40.62 [1007]E(f446(f309(f413(a74,x10071),x10072),x10073),f311(f457(x10071,x10073),x10072))
% 40.48/40.62 [1008]E(f446(f362(f424(a77,x10081),x10082),x10083),f353(f454(x10081,x10083),x10082))
% 40.48/40.62 [1017]E(f312(f445(x10171,x10172),f450(x10173,x10172)),f450(f367(f409(a82,x10171),x10173),x10172))
% 40.48/40.62 [1018]E(f312(f459(x10181,x10182),f455(x10183,x10182)),f455(f353(f407(a83,x10181),x10183),x10182))
% 40.48/40.62 [1019]E(f312(f301(x10191,x10192),f295(x10193,x10192)),f295(f291(f419(a84,x10191),x10193),x10192))
% 40.48/40.62 [1020]E(f312(f340(x10201,x10202),f316(x10203,x10202)),f316(f368(f405(a85,x10201),x10203),x10202))
% 40.48/40.62 [1021]E(f312(f342(x10211,x10212),f352(x10213,x10212)),f352(f292(f361(a86,x10211),x10213),x10212))
% 40.48/40.62 [1022]E(f434(f438(x10221,x10222),f425(x10223,x10222)),f425(f379(f350(a91,x10221),x10223),x10222))
% 40.48/40.62 [1023]E(f404(f441(x10231,x10232),f440(x10233,x10232)),f435(f329(f391(a87,x10231),x10233),x10232))
% 40.48/40.62 [1024]E(f305(f449(x10241,x10242),f435(x10243,x10242)),f435(f345(f334(a92,x10241),x10243),x10242))
% 40.48/40.62 [1025]E(f438(f410(f377(a88,x10251),x10252),x10253),f432(f437(x10251,x10253),f425(x10252,x10253)))
% 40.48/40.62 [1026]E(f449(f378(f430(a90,x10261),x10262),x10263),f304(f451(x10261,x10263),f435(x10262,x10263)))
% 40.48/40.62 [1027]E(f441(f380(f360(a89,x10271),x10272),x10273),f314(f444(x10271,x10273),f453(x10272,x10273)))
% 40.48/40.62 [1030]E(f367(f447(a472,x10301),f367(f447(a472,x10302),x10303)),f367(f447(a472,x10302),f367(f447(a472,x10301),x10303)))
% 40.48/40.62 [1031]E(f367(f318(a513,x10311),f367(f447(a472,x10312),x10313)),f367(f447(a472,x10312),f367(f318(a513,x10311),x10313)))
% 40.48/40.62 [1032]E(f291(f303(a473,x10321),f291(f303(a473,x10322),x10323)),f291(f303(a473,x10322),f291(f303(a473,x10321),x10323)))
% 40.48/40.62 [1033]E(f291(f335(a512,x10331),f291(f303(a473,x10332),x10333)),f291(f303(a473,x10332),f291(f335(a512,x10331),x10333)))
% 40.48/40.62 [1037]E(f291(f335(a512,x10371),f291(f335(a512,x10372),x10373)),f291(f335(a512,x10372),f291(f335(a512,x10371),x10373)))
% 40.48/40.62 [1038]E(f367(f447(a472,f297(x10381,x10382)),f293(f463(x10381),x10383)),f293(f463(x10381),f291(f303(a473,x10382),x10383)))
% 40.48/40.62 [1039]E(f291(f303(a473,f435(x10391,x10392)),f401(f470(x10391),x10393)),f401(f470(x10391),f367(f447(a472,x10392),x10393)))
% 40.48/40.62 [1056]E(f291(f335(a512,f401(f470(x10561),x10562)),f401(f470(x10561),x10563)),f401(f470(x10561),f367(f318(a513,x10562),x10563)))
% 40.48/40.62 [1076]E(f291(f335(a509,f291(f335(a512,x10761),x10762)),f291(f335(a512,x10761),x10763)),f291(f335(a512,x10761),f291(f335(a509,x10762),x10763)))
% 40.48/40.62 [1078]E(f291(f335(a512,f291(f335(a509,x10781),x10782)),f291(f335(a509,x10781),x10783)),f291(f335(a509,x10781),f291(f335(a512,x10782),x10783)))
% 40.48/40.62 [1079]E(f367(f318(a504,f367(f447(a472,x10791),x10792)),f367(f447(a472,x10791),x10793)),f367(f447(a472,x10791),f367(f318(a504,x10792),x10793)))
% 40.48/40.62 [1080]E(f291(f335(a509,f291(f303(a473,x10801),x10802)),f291(f303(a473,x10801),x10803)),f291(f303(a473,x10801),f291(f335(a509,x10802),x10803)))
% 40.48/40.62 [1129]E(f291(f335(a509,f291(f335(a509,f291(f335(a512,x11291),x11292)),f291(f335(a512,x11292),x11293))),f291(f335(a512,x11293),x11291)),f291(f335(a512,f291(f335(a512,f291(f335(a509,x11291),x11292)),f291(f335(a509,x11292),x11293))),f291(f335(a509,x11293),x11291)))
% 40.48/40.62 [1061]E(f367(f318(a513,f367(f447(a472,x10611),x10612)),x10613),f367(f447(a472,x10611),f367(f318(a513,x10612),x10613)))
% 40.48/40.62 [1062]E(f291(f335(a512,f291(f303(a473,x10621),x10622)),x10623),f291(f303(a473,x10621),f291(f335(a512,x10622),x10623)))
% 40.48/40.62 [1066]E(f291(f335(a512,f291(f335(a512,x10661),x10662)),x10663),f291(f335(a512,x10661),f291(f335(a512,x10662),x10663)))
% 40.48/40.62 [1098]E(f291(f335(a509,f291(f335(a512,x10981),x10982)),f291(f335(a512,x10983),x10982)),f291(f335(a512,f291(f335(a509,x10981),x10983)),x10982))
% 40.48/40.62 [1100]E(f291(f335(a512,f291(f335(a509,x11001),x11002)),f291(f335(a509,x11003),x11002)),f291(f335(a509,f291(f335(a512,x11001),x11003)),x11002))
% 40.48/40.62 [1120]P2(f352(f415(a487,f401(f470(x11201),f367(f318(a504,x11202),x11203))),f291(f335(a509,f401(f470(x11201),x11202)),f401(f470(x11201),x11203))))
% 40.48/40.62 [1127]P2(f316(f393(a486,f367(f318(a513,x11271),f367(f318(a504,x11272),x11273))),f367(f318(a504,f367(f318(a513,x11271),x11272)),f367(f318(a513,x11271),x11273))))
% 40.48/40.62 [1128]P2(f352(f415(a487,f291(f335(a512,x11281),f291(f335(a509,x11282),x11283))),f291(f335(a509,f291(f335(a512,x11281),x11282)),f291(f335(a512,x11281),x11283))))
% 40.48/40.62 [1130]P2(f316(f393(a486,f367(f318(a513,f367(f318(a504,x11301),x11302)),f367(f318(a504,x11301),x11303))),f367(f318(a504,x11301),f367(f318(a513,x11302),x11303))))
% 40.48/40.62 [1131]P2(f352(f415(a487,f291(f335(a512,f291(f335(a509,x11311),x11312)),f291(f335(a509,x11311),x11313))),f291(f335(a509,x11311),f291(f335(a512,x11312),x11313))))
% 40.48/40.62 [1101]E(f291(f335(a494,f291(f335(a494,x11011),f291(f303(a473,x11012),a7))),x11013),f291(f335(a494,x11011),f291(f303(a473,x11012),x11013)))
% 40.48/40.62 [1121]E(f367(f318(a513,f367(f318(a504,f12(x11211)),f367(a96,x11212))),f367(f318(a504,f12(x11213)),f367(a96,f367(f19(a267),x11212)))),f12(f379(f350(a91,f410(f377(a88,f414(f29(a467),x11212)),x11211)),x11213)))
% 40.48/40.62 [1146]~E(f506(x11461,x11462),f528(x11463,x11464))
% 40.48/40.62 [1133]P2(f352(f464(x11331),f291(f303(a473,f404(f314(f366(a460,f362(f424(a77,f323(f42(a83),f326(f37(f35(a277)),x11332))),f353(f22(a267),x11333))),f528(x11333,x11334)),x11332)),a7)))
% 40.48/40.62 [1132]E(f291(f335(a512,f401(f470(x11321),f367(f318(a504,x11322),f367(a96,x11323)))),f401(f470(x11324),f367(f318(a504,x11322),f367(a96,f367(f19(a267),x11323))))),f401(f470(f345(f334(a92,f378(f430(a90,f339(f53(a465),x11323)),x11321)),x11324)),x11322))
% 40.48/40.62 [1158]~E(a132,a263)+~P2(a2)
% 40.48/40.62 [1162]~E(f133(x11621),x11621)+~P2(a2)
% 40.48/40.62 [1164]~P1(x11641)+P3(f15(x11641))
% 40.48/40.62 [1165]~P6(x11651)+P3(f514(x11651))
% 40.48/40.62 [1166]~P1(x11661)+P4(f16(x11661))
% 40.48/40.62 [1167]~P5(x11671)+P6(f519(x11671))
% 40.48/40.62 [1173]~P3(x11731)+E(f367(a96,x11731),x11731)
% 40.48/40.62 [1174]~P4(x11741)+E(f368(a93,x11741),x11741)
% 40.48/40.62 [1177]P5(f149(x11771))+E(f367(a96,x11771),a4)
% 40.48/40.62 [1178]P3(f225(x11781))+E(f368(a93,x11781),a5)
% 40.48/40.62 [1179]P5(f150(x11791))+E(f367(a96,x11791),a4)
% 40.48/40.62 [1180]P3(f182(x11801))+E(f368(a93,x11801),a5)
% 40.48/40.62 [1186]~E(x11861,a7)+P2(f352(a269,x11861))
% 40.48/40.62 [1187]~E(x11871,a10)+P2(f369(a287,x11871))
% 40.48/40.62 [1190]P2(x11901)+P2(f312(a267,x11901))
% 40.48/40.62 [1192]~P2(a3)+P2(f450(a4,x11921))
% 40.48/40.62 [1194]~P2(a3)+P2(f295(a7,x11941))
% 40.48/40.62 [1222]P2(a3)+~P2(f450(a4,x12221))
% 40.48/40.62 [1224]P2(a3)+~P2(f295(a7,x12241))
% 40.48/40.62 [1229]~P2(x12291)+~P2(f312(a267,x12291))
% 40.48/40.62 [1215]~P3(x12151)+E(f367(f318(a513,a4),x12151),x12151)
% 40.48/40.62 [1218]~P3(x12181)+E(f367(f318(a513,x12181),a4),x12181)
% 40.48/40.62 [1230]E(f367(a96,x12301),a4)+P2(f450(x12301,f149(x12301)))
% 40.48/40.62 [1231]E(f368(a93,x12311),a5)+P2(f316(x12311,f225(x12311)))
% 40.48/40.62 [1232]E(f291(a13,x12321),a7)+P2(f295(x12321,f238(x12321)))
% 40.48/40.62 [1233]E(f292(a14,x12331),a10)+P2(f352(x12331,f239(x12331)))
% 40.48/40.62 [1234]E(f367(a96,x12341),a4)+P2(f450(x12341,f150(x12341)))
% 40.48/40.62 [1235]E(f368(a93,x12351),a5)+P2(f316(x12351,f182(x12351)))
% 40.48/40.62 [1236]E(f291(a13,x12361),a7)+P2(f295(x12361,f193(x12361)))
% 40.48/40.62 [1237]E(f292(a14,x12371),a10)+P2(f352(x12371,f194(x12371)))
% 40.48/40.62 [1241]E(x12411,a7)+E(f291(f303(a473,f240(x12411)),f241(x12411)),x12411)
% 40.48/40.62 [1332]E(x13321,a7)+~P2(f352(f415(a487,x13321),a7))
% 40.48/40.62 [1364]E(f502(f184(x13641)),f425(a6,x13641))+~P2(f294(a527,f453(a9,x13641)))
% 40.48/40.62 [1433]E(x14331,a7)+~P2(f352(f300(a489,f240(x14331)),f241(x14331)))
% 40.48/40.62 [1301]~P5(x13011)+E(f321(a524,f367(f447(a472,x13011),a4)),x13011)
% 40.48/40.62 [1313]E(x13131,a7)+P2(f352(f300(a489,f100(x13131)),x13131))
% 40.48/40.62 [1314]E(x13141,a7)+P2(f352(f300(a489,f131(x13141)),x13141))
% 40.48/40.62 [1315]E(x13151,a7)+P2(f352(f300(a489,f152(x13151)),x13151))
% 40.48/40.62 [1722]~P2(f316(a268,x17221))+P2(f355(a271,f368(a93,f393(f331(a60,a486),x17221))))
% 40.48/40.62 [1723]~P2(f352(a269,x17231))+P2(f369(a287,f292(a14,f415(f375(a55,a487),x17231))))
% 40.48/40.62 [1724]~P2(f355(a271,x17241))+P2(f389(a289,f422(a94,f399(f363(a76,a498),x17241))))
% 40.48/40.62 [1725]~P2(f369(a287,x17251))+P2(f356(a284,f374(a95,f328(f344(a59,a497),x17251))))
% 40.48/40.62 [1163]E(x11631,x11632)+~E(f502(x11631),f502(x11632))
% 40.48/40.62 [1200]~P1(x12002)+P1(f312(x12001,x12002))
% 40.48/40.62 [1201]~P4(x12012)+P1(f355(x12011,x12012))
% 40.48/40.62 [1202]~P5(x12022)+P3(f442(x12021,x12022))
% 40.48/40.62 [1203]~P3(x12032)+P3(f367(x12031,x12032))
% 40.48/40.62 [1204]~P4(x12042)+P3(f412(x12041,x12042))
% 40.48/40.62 [1205]~P5(x12052)+P4(f443(x12051,x12052))
% 40.48/40.62 [1206]~P3(x12062)+P4(f393(x12061,x12062))
% 40.48/40.62 [1207]~P4(x12072)+P4(f368(x12071,x12072))
% 40.48/40.62 [1208]~P5(x12082)+P5(f452(x12081,x12082))
% 40.48/40.62 [1209]~P3(x12092)+P5(f321(x12091,x12092))
% 40.48/40.62 [1258]~P2(f295(x12581,x12582))+~E(f291(a13,x12581),a7)
% 40.48/40.62 [1259]~P2(f352(x12591,x12592))+~E(f292(a14,x12591),a10)
% 40.48/40.62 [1261]P2(f455(x12611,x12612))+~P2(f383(a265,x12611))
% 40.48/40.62 [1176]~E(x11762,a7)+E(f293(f463(x11761),x11762),a4)
% 40.48/40.62 [1181]~P1(x11811)+E(f450(f15(x11811),x11812),x11811)
% 40.48/40.62 [1182]~P5(x11821)+E(f297(f81(x11821),x11822),x11821)
% 40.48/40.62 [1183]~P1(x11831)+E(f295(f17(x11831),x11832),x11831)
% 40.48/40.62 [1184]~P1(x11841)+E(f316(f16(x11841),x11842),x11841)
% 40.48/40.62 [1185]~P1(x11851)+E(f352(f78(x11851),x11852),x11851)
% 40.48/40.62 [1196]E(x11961,a7)+~E(f293(f463(x11962),x11961),a4)
% 40.48/40.62 [1244]E(x12441,a7)+~E(f291(f335(a512,x12442),x12441),a7)
% 40.48/40.62 [1246]E(x12461,a7)+~E(f291(f335(a512,x12461),x12462),a7)
% 40.48/40.62 [1252]E(f151(x12521,x12522),f164(x12521,x12522))+E(f367(f318(a504,x12521),x12522),a4)
% 40.48/40.62 [1253]E(f165(x12531,x12532),f166(x12531,x12532))+E(f291(f335(a509,x12531),x12532),a7)
% 40.48/40.62 [1254]P5(f151(x12541,x12542))+E(f367(f318(a504,x12541),x12542),a4)
% 40.48/40.62 [1255]P5(f164(x12551,x12552))+E(f367(f318(a504,x12551),x12552),a4)
% 40.48/40.62 [1274]~E(x12741,x12742)+P2(f450(f442(a274,x12741),x12742))
% 40.48/40.62 [1275]~E(x12751,x12752)+P2(f455(f446(a280,x12751),x12752))
% 40.48/40.62 [1276]~E(x12761,x12762)+P2(f295(f299(a276,x12761),x12762))
% 40.48/40.62 [1277]~E(x12772,x12771)+P2(f316(f393(a486,x12771),x12772))
% 40.48/40.62 [1281]~E(x12811,x12812)+P2(f316(f393(a486,x12811),x12812))
% 40.48/40.62 [1282]~E(x12821,x12822)+P2(f316(f393(a275,x12821),x12822))
% 40.48/40.62 [1283]~E(x12832,x12831)+P2(f352(f415(a487,x12831),x12832))
% 40.48/40.62 [1291]~E(x12911,x12912)+P2(f352(f415(a487,x12911),x12912))
% 40.48/40.62 [1292]~E(x12921,x12922)+P2(f352(f415(a279,x12921),x12922))
% 40.48/40.62 [1293]P2(x12931)+P2(f312(f310(a281,x12931),x12932))
% 40.48/40.62 [1296]~P2(x12962)+P2(f312(f310(a281,x12961),x12962))
% 40.48/40.62 [1297]~P2(x12972)+P2(f312(f310(a278,x12971),x12972))
% 40.48/40.62 [1298]~P2(x12981)+P2(f312(f310(a278,x12981),x12982))
% 40.48/40.62 [1309]~E(x13092,f502(x13091))+P2(f427(f315(a492,x13091),f516(x13092)))
% 40.48/40.62 [1310]~E(x13102,f517(x13101))+P2(f352(f300(a489,x13101),f515(x13102)))
% 40.48/40.62 [1317]P5(f183(x13171,x13172))+P2(f316(f393(a486,x13172),x13171))
% 40.48/40.62 [1318]P5(f246(x13181,x13182))+P2(f316(f393(a486,x13181),x13182))
% 40.48/40.62 [1319]P5(f256(x13191,x13192))+P2(f316(f393(a486,x13191),x13192))
% 40.48/40.62 [1320]P5(f137(x13201,x13202))+P2(f316(f393(a486,x13202),x13201))
% 40.48/40.62 [1326]~P2(f352(f464(x13261),x13262))+P2(f352(f461(x13261),x13262))
% 40.48/40.62 [1327]E(x13271,x13272)+~E(f291(f303(a473,x13271),a7),f291(f303(a473,x13272),a7))
% 40.48/40.62 [1334]E(x13341,x13342)+~P2(f455(f446(a280,x13341),x13342))
% 40.48/40.62 [1335]E(x13351,x13352)+~P2(f295(f299(a276,x13351),x13352))
% 40.48/40.62 [1336]E(x13361,x13362)+~P2(f352(f415(a279,x13361),x13362))
% 40.48/40.62 [1338]~E(x13381,a4)+~P2(f316(f443(a488,x13382),x13381))
% 40.48/40.62 [1340]~E(x13401,a7)+~P2(f352(f300(a489,x13402),x13401))
% 40.48/40.62 [1341]~P2(f294(a527,x13412))+P2(f294(a527,f528(x13411,x13412)))
% 40.48/40.62 [1345]~P2(f450(x13452,x13451))+P2(f316(f443(a488,x13451),x13452))
% 40.48/40.62 [1346]~P2(f295(x13462,x13461))+P2(f352(f300(a489,x13461),x13462))
% 40.48/40.62 [1347]P2(x13471)+~P2(f312(f310(a277,x13472),x13471))
% 40.48/40.62 [1348]P2(x13481)+~P2(f312(f310(a277,x13481),x13482))
% 40.48/40.62 [1358]~E(f291(f335(a512,x13581),x13582),x13582)+P2(f352(f415(a487,x13581),x13582))
% 40.48/40.62 [1359]~E(f291(f335(a509,x13591),x13592),x13591)+P2(f352(f415(a487,x13591),x13592))
% 40.48/40.62 [1376]E(x13761,f502(x13762))+~P2(f427(f315(a492,x13762),f516(x13761)))
% 40.48/40.62 [1377]E(x13771,f517(x13772))+~P2(f352(f300(a489,x13772),f515(x13771)))
% 40.48/40.62 [1391]P2(f450(x13911,x13912))+~P2(f316(f443(a488,x13912),x13911))
% 40.48/40.62 [1392]P2(f295(x13921,x13922))+~P2(f352(f300(a489,x13922),x13921))
% 40.48/40.62 [1395]P2(f294(a527,x13951))+~P2(f294(a527,f528(x13952,x13951)))
% 40.48/40.62 [1396]P2(f294(a527,x13961))+~P2(f294(a527,f506(x13962,x13961)))
% 40.48/40.62 [1397]P2(f294(a527,x13971))+~P2(f294(a527,f506(x13971,x13972)))
% 40.48/40.62 [1402]E(f291(f303(a473,x14021),x14022),x14022)+~P2(f352(f300(a489,x14021),x14022))
% 40.48/40.62 [1404]E(f291(f335(a512,x14041),x14042),x14041)+~P2(f352(f415(a487,x14042),x14041))
% 40.48/40.62 [1408]E(f291(f335(a512,x14081),x14082),x14082)+~P2(f352(f415(a487,x14081),x14082))
% 40.48/40.62 [1410]E(f291(f335(a509,x14101),x14102),x14102)+~P2(f352(f415(a487,x14102),x14101))
% 40.48/40.62 [1413]E(f291(f335(a509,x14131),x14132),x14131)+~P2(f352(f415(a487,x14131),x14132))
% 40.48/40.62 [1414]P2(f450(x14141,f137(x14142,x14141)))+P2(f316(f393(a486,x14141),x14142))
% 40.48/40.62 [1415]P2(f295(x14151,f144(x14152,x14151)))+P2(f352(f415(a487,x14151),x14152))
% 40.48/40.62 [1417]P2(f352(f464(x14171),x14172))+~P2(f352(f415(a487,x14172),x14171))
% 40.48/40.62 [1434]E(f502(f226(x14341,x14342)),f425(x14342,x14341))+~P2(f316(f443(a488,x14341),f12(x14342)))
% 40.48/40.62 [1435]E(f291(f303(a473,x14351),f146(x14351,x14352)),x14352)+~P2(f352(f300(a489,x14351),x14352))
% 40.48/40.62 [1436]E(f291(f303(a473,x14361),f148(x14361,x14362)),x14362)+~P2(f352(f300(a489,x14361),x14362))
% 40.48/40.62 [1467]~P2(f450(x14672,f137(x14672,x14671)))+P2(f316(f393(a486,x14671),x14672))
% 40.48/40.62 [1468]~P2(f295(x14682,f144(x14682,x14681)))+P2(f352(f415(a487,x14681),x14682))
% 40.48/40.62 [1524]P3(f138(x15241,x15242))+P2(f355(f399(a498,f368(a93,x15242)),f368(a93,x15241)))
% 40.48/40.62 [1525]P5(f139(x15251,x15252))+P2(f316(f393(a486,f367(a96,x15252)),f367(a96,x15251)))
% 40.48/40.62 [1562]P2(f450(x15621,f139(x15622,x15621)))+P2(f316(f393(a486,f367(a96,x15621)),f367(a96,x15622)))
% 40.48/40.62 [1563]P2(f295(x15631,f140(x15632,x15631)))+P2(f352(f415(a487,f291(a13,x15631)),f291(a13,x15632)))
% 40.48/40.62 [1564]P2(f316(x15641,f138(x15642,x15641)))+P2(f355(f399(a498,f368(a93,x15641)),f368(a93,x15642)))
% 40.48/40.62 [1565]P2(f352(x15651,f142(x15652,x15651)))+P2(f369(f328(a497,f292(a14,x15651)),f292(a14,x15652)))
% 40.48/40.62 [1616]~P2(f352(f300(a489,x16161),f146(x16161,x16162)))+~P2(f352(f300(a489,x16161),x16162))
% 40.48/40.62 [1617]~P2(f352(f300(a489,x16171),f148(x16171,x16172)))+~P2(f352(f300(a489,x16171),x16172))
% 40.48/40.62 [1663]~P2(f450(x16632,f139(x16632,x16631)))+P2(f316(f393(a486,f367(a96,x16631)),f367(a96,x16632)))
% 40.48/40.62 [1664]~P2(f295(x16642,f140(x16642,x16641)))+P2(f352(f415(a487,f291(a13,x16641)),f291(a13,x16642)))
% 40.48/40.62 [1665]~P2(f316(x16652,f138(x16652,x16651)))+P2(f355(f399(a498,f368(a93,x16651)),f368(a93,x16652)))
% 40.48/40.62 [1666]~P2(f352(x16662,f142(x16662,x16661)))+P2(f369(f328(a497,f292(a14,x16661)),f292(a14,x16662)))
% 40.48/40.62 [1260]E(x12601,a7)+E(f293(f463(f81(x12602)),x12601),f367(f447(a472,x12602),a4))
% 40.48/40.62 [1378]~P2(f355(a271,x13782))+P2(f316(a268,f412(f468(x13781),x13782)))
% 40.48/40.62 [1379]~P2(f369(a287,x13792))+P2(f316(a268,f384(f475(x13791),x13792)))
% 40.48/40.62 [1380]~P2(f355(a271,x13802))+P2(f352(a269,f420(f480(x13801),x13802)))
% 40.48/40.62 [1381]~P2(f369(a287,x13812))+P2(f352(a269,f421(f481(x13811),x13812)))
% 40.48/40.62 [1382]~P2(f316(a268,x13822))+P2(f352(a269,f401(f470(x13821),x13822)))
% 40.48/40.62 [1383]~P2(f316(a268,x13832))+P2(f355(a271,f393(f476(x13831),x13832)))
% 40.48/40.62 [1384]~P2(f352(a269,x13842))+P2(f355(a271,f406(f469(x13841),x13842)))
% 40.48/40.62 [1385]~P2(f352(a269,x13852))+P2(f369(a287,f415(f477(x13851),x13852)))
% 40.48/40.62 [1386]~P2(f316(a268,x13862))+P2(f369(a287,f364(f478(x13861),x13862)))
% 40.48/40.62 [1393]E(x13931,x13932)+~P2(f455(f446(f97(a503),x13931),x13932))
% 40.48/40.62 [1470]~P2(f316(a268,x14702))+P2(f316(a268,f367(f447(a472,x14701),x14702)))
% 40.48/40.62 [1471]~P2(f316(a268,x14712))+P2(f316(a268,f367(f318(a504,x14711),x14712)))
% 40.48/40.62 [1472]~P2(f316(a268,x14721))+P2(f316(a268,f367(f318(a504,x14721),x14722)))
% 40.48/40.62 [1473]~P2(f316(a268,x14731))+P2(f316(a268,f367(f318(a493,x14731),x14732)))
% 40.48/40.62 [1475]~P2(f352(a269,x14752))+P2(f352(a269,f291(f303(a473,x14751),x14752)))
% 40.48/40.62 [1476]~P2(f352(a269,x14762))+P2(f352(a269,f291(f335(a509,x14761),x14762)))
% 40.48/40.62 [1477]~P2(f352(a269,x14771))+P2(f352(a269,f291(f335(a509,x14771),x14772)))
% 40.48/40.62 [1478]~P2(f352(a269,x14781))+P2(f352(a269,f291(f335(a494,x14781),x14782)))
% 40.48/40.62 [1480]~P2(f355(a271,x14802))+P2(f355(a271,f368(f319(a474,x14801),x14802)))
% 40.48/40.62 [1481]~P2(f355(a271,x14812))+P2(f355(a271,f368(f382(a505,x14811),x14812)))
% 40.48/40.62 [1482]~P2(f355(a271,x14821))+P2(f355(a271,f368(f382(a505,x14821),x14822)))
% 40.48/40.62 [1483]~P2(f355(a271,x14831))+P2(f355(a271,f368(f382(a495,x14831),x14832)))
% 40.48/40.62 [1485]~P2(f369(a287,x14852))+P2(f369(a287,f292(f402(a485,x14851),x14852)))
% 40.48/40.62 [1486]~P2(f369(a287,x14862))+P2(f369(a287,f292(f346(a507,x14861),x14862)))
% 40.48/40.62 [1487]~P2(f369(a287,x14871))+P2(f369(a287,f292(f346(a507,x14871),x14872)))
% 40.48/40.62 [1488]~P2(f369(a287,x14881))+P2(f369(a287,f292(f346(a496,x14881),x14882)))
% 40.48/40.62 [1490]E(f367(f318(a504,x14901),x14902),a4)+P2(f316(f443(a488,f151(x14901,x14902)),x14901))
% 40.48/40.62 [1491]E(f367(f318(a504,x14911),x14912),a4)+P2(f316(f443(a488,f164(x14911,x14912)),x14912))
% 40.48/40.62 [1492]E(f291(f335(a509,x14921),x14922),a7)+P2(f352(f300(a489,f165(x14921,x14922)),x14921))
% 40.48/40.62 [1493]E(f291(f335(a509,x14931),x14932),a7)+P2(f352(f300(a489,f166(x14931,x14932)),x14932))
% 40.48/40.62 [1531]P2(f316(f393(a486,x15311),x15312))+P2(f316(f443(a488,f183(x15312,x15311)),x15311))
% 40.48/40.62 [1532]P2(f352(f415(a487,x15321),x15322))+P2(f352(f300(a489,f192(x15322,x15321)),x15321))
% 40.48/40.62 [1566]P2(f316(a268,x15661))+~P2(f316(a268,f367(f447(a472,x15662),x15661)))
% 40.48/40.62 [1567]P2(f316(a268,x15671))+~P2(f316(a268,f367(f318(a513,x15672),x15671)))
% 40.48/40.62 [1568]P2(f316(a268,x15681))+~P2(f316(a268,f367(f318(a513,x15681),x15682)))
% 40.48/40.62 [1569]P2(f352(a269,x15691))+~P2(f352(a269,f291(f303(a473,x15692),x15691)))
% 40.48/40.62 [1570]P2(f352(a269,x15701))+~P2(f352(a269,f291(f335(a512,x15702),x15701)))
% 40.48/40.62 [1571]P2(f352(a269,x15711))+~P2(f352(a269,f291(f335(a512,x15711),x15712)))
% 40.48/40.62 [1572]P2(f355(a271,x15721))+~P2(f355(a271,f368(f319(a474,x15722),x15721)))
% 40.48/40.62 [1573]P2(f355(a271,x15731))+~P2(f355(a271,f368(f382(a510,x15732),x15731)))
% 40.48/40.62 [1574]P2(f355(a271,x15741))+~P2(f355(a271,f368(f382(a510,x15741),x15742)))
% 40.48/40.62 [1575]P2(f369(a287,x15751))+~P2(f369(a287,f292(f402(a485,x15752),x15751)))
% 40.48/40.62 [1576]P2(f369(a287,x15761))+~P2(f369(a287,f292(f346(a511,x15762),x15761)))
% 40.48/40.62 [1577]P2(f369(a287,x15771))+~P2(f369(a287,f292(f346(a511,x15771),x15772)))
% 40.48/40.62 [1618]E(f291(f335(a494,f291(f303(a473,x16181),x16182)),f291(f303(a473,x16181),a7)),x16182)+P2(f352(f300(a489,x16181),x16182))
% 40.48/40.62 [1635]E(x16351,x16352)+~P2(f352(f300(a489,x16351),f291(f303(a473,x16352),a7)))
% 40.48/40.62 [1694]P2(f316(f393(a486,x16941),x16942))+~P2(f316(f443(a488,f183(x16942,x16941)),x16942))
% 40.48/40.62 [1695]P2(f352(f415(a487,x16951),x16952))+~P2(f352(f300(a489,f192(x16952,x16951)),x16952))
% 40.48/40.62 [1881]~P2(f316(f393(a486,x18811),x18812))+P2(f316(f393(a486,f367(f408(a57,a488),x18811)),f367(f408(a57,a488),x18812)))
% 40.48/40.62 [1882]~P2(f352(f415(a487,x18821),x18822))+P2(f352(f415(a487,f291(f327(a70,a489),x18821)),f291(f327(a70,a489),x18822)))
% 40.48/40.62 [1971]P2(f316(f393(a486,x19711),x19712))+~P2(f316(f393(a486,f367(f408(a57,a488),x19711)),f367(f408(a57,a488),x19712)))
% 40.48/40.62 [1972]P2(f352(f415(a487,x19721),x19722))+~P2(f352(f415(a487,f291(f327(a70,a489),x19721)),f291(f327(a70,a489),x19722)))
% 40.48/40.62 [1998]P2(f316(f393(a486,x19981),x19982))+~P2(f312(f310(a499,f450(x19981,f246(x19981,x19982))),f450(x19982,f246(x19981,x19982))))
% 40.48/40.62 [1999]P2(f316(f393(a486,x19991),x19992))+~P2(f312(f310(a499,f450(x19991,f256(x19991,x19992))),f450(x19992,f256(x19991,x19992))))
% 40.48/40.62 [2000]P2(f352(f415(a487,x20001),x20002))+~P2(f312(f310(a499,f295(x20001,f249(x20001,x20002))),f295(x20002,f249(x20001,x20002))))
% 40.48/40.62 [2001]P2(f352(f415(a487,x20011),x20012))+~P2(f312(f310(a499,f295(x20011,f262(x20011,x20012))),f295(x20012,f262(x20011,x20012))))
% 40.48/40.62 [1702]E(f291(f303(a473,x17021),f291(f335(a494,x17022),f291(f303(a473,x17021),a7))),x17022)+~P2(f352(f300(a489,x17021),x17022))
% 40.48/40.62 [1796]P2(f450(x17962,x17961))+E(f367(a96,f367(f409(a82,f337(f52(a277),f442(a274,x17961))),x17962)),a4)
% 40.48/40.62 [1797]P2(f316(x17972,x17971))+E(f368(a93,f368(f405(a85,f338(f41(a277),f393(a275,x17971))),x17972)),a5)
% 40.48/40.62 [1798]P2(f295(x17982,x17981))+E(f291(a13,f291(f419(a84,f341(f28(a277),f299(a276,x17981))),x17982)),a7)
% 40.48/40.62 [1799]P2(f352(x17992,x17991))+E(f292(a14,f292(f361(a86,f396(f43(a277),f415(a279,x17991))),x17992)),a10)
% 40.48/40.62 [1824]~P2(f450(x18242,x18241))+E(f367(a96,f367(f409(a82,f337(f52(a277),f442(a274,x18241))),x18242)),f367(f447(a472,x18241),a4))
% 40.48/40.62 [1825]~P2(f316(x18252,x18251))+E(f368(a93,f368(f405(a85,f338(f41(a277),f393(a275,x18251))),x18252)),f368(f319(a474,x18251),a5))
% 40.48/40.62 [1826]~P2(f295(x18262,x18261))+E(f291(a13,f291(f419(a84,f341(f28(a277),f299(a276,x18261))),x18262)),f291(f303(a473,x18261),a7))
% 40.48/40.62 [1827]~P2(f352(x18272,x18271))+E(f292(a14,f292(f361(a86,f396(f43(a277),f415(a279,x18271))),x18272)),f292(f402(a485,x18271),a10))
% 40.48/40.62 [1950]P2(f450(x19502,x19501))+E(f367(a96,f367(f409(a82,f337(f52(a277),f442(f381(a54,a274),x19501))),x19502)),a4)
% 40.48/40.62 [1951]P2(f316(x19512,x19511))+E(f368(a93,f368(f405(a85,f338(f41(a277),f393(f331(a60,a275),x19511))),x19512)),a5)
% 40.48/40.62 [1952]P2(f295(x19522,x19521))+E(f291(a13,f291(f419(a84,f341(f28(a277),f299(f386(a62,a276),x19521))),x19522)),a7)
% 40.48/40.62 [1953]P2(f352(x19532,x19531))+E(f292(a14,f292(f361(a86,f396(f43(a277),f415(f375(a55,a279),x19531))),x19532)),a10)
% 40.48/40.62 [1977]~P2(f450(x19772,x19771))+E(f367(a96,f367(f409(a82,f337(f52(a277),f442(f381(a54,a274),x19771))),x19772)),f367(f447(a472,x19771),a4))
% 40.48/40.62 [1978]~P2(f316(x19782,x19781))+E(f368(a93,f368(f405(a85,f338(f41(a277),f393(f331(a60,a275),x19781))),x19782)),f368(f319(a474,x19781),a5))
% 40.48/40.62 [1979]~P2(f295(x19792,x19791))+E(f291(a13,f291(f419(a84,f341(f28(a277),f299(f386(a62,a276),x19791))),x19792)),f291(f303(a473,x19791),a7))
% 40.48/40.62 [1980]~P2(f352(x19802,x19801))+E(f292(a14,f292(f361(a86,f396(f43(a277),f415(f375(a55,a279),x19801))),x19802)),f292(f402(a485,x19801),a10))
% 40.48/40.62 [2002]~P2(f316(a268,f367(a96,x20022)))+P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a277),x20021)),x20022))))
% 40.48/40.62 [2003]~P2(f316(a268,f367(a96,x20031)))+P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a277),x20031)),x20032))))
% 40.48/40.62 [2004]~P2(f352(a269,f291(a13,x20042)))+P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a277),x20041)),x20042))))
% 40.48/40.62 [2005]~P2(f352(a269,f291(a13,x20051)))+P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a277),x20051)),x20052))))
% 40.48/40.62 [2006]~P2(f355(a271,f368(a93,x20062)))+P2(f355(a271,f368(a93,f368(f405(a85,f338(f41(a277),x20061)),x20062))))
% 40.48/40.62 [2007]~P2(f355(a271,f368(a93,x20071)))+P2(f355(a271,f368(a93,f368(f405(a85,f338(f41(a277),x20071)),x20072))))
% 40.48/40.62 [2008]~P2(f369(a287,f292(a14,x20082)))+P2(f369(a287,f292(a14,f292(f361(a86,f396(f43(a277),x20081)),x20082))))
% 40.48/40.62 [2009]~P2(f369(a287,f292(a14,x20091)))+P2(f369(a287,f292(a14,f292(f361(a86,f396(f43(a277),x20091)),x20092))))
% 40.48/40.62 [2042]P2(f316(a268,f367(a96,x20421)))+~P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a278),x20422)),x20421))))
% 40.48/40.62 [2043]P2(f316(a268,f367(a96,x20431)))+~P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a278),x20431)),x20432))))
% 40.48/40.62 [2044]P2(f352(a269,f291(a13,x20441)))+~P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a278),x20442)),x20441))))
% 40.48/40.62 [2045]P2(f352(a269,f291(a13,x20451)))+~P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a278),x20451)),x20452))))
% 40.48/40.62 [2046]P2(f355(a271,f368(a93,x20461)))+~P2(f355(a271,f368(a93,f368(f405(a85,f338(f41(a278),x20462)),x20461))))
% 40.48/40.62 [2047]P2(f355(a271,f368(a93,x20471)))+~P2(f355(a271,f368(a93,f368(f405(a85,f338(f41(a278),x20471)),x20472))))
% 40.48/40.62 [2048]P2(f369(a287,f292(a14,x20481)))+~P2(f369(a287,f292(a14,f292(f361(a86,f396(f43(a278),x20482)),x20481))))
% 40.48/40.62 [2049]P2(f369(a287,f292(a14,x20491)))+~P2(f369(a287,f292(a14,f292(f361(a86,f396(f43(a278),x20491)),x20492))))
% 40.48/40.62 [2088]P2(f352(f464(x20881),f291(f303(a473,f313(a466,f453(a9,x20882))),a7)))+~P2(f352(f464(f291(f303(a473,f313(a466,f453(a9,x20882))),x20881)),f291(f303(a473,f313(a466,f426(a518,f425(a6,x20882)))),a7)))
% 40.48/40.62 [2129]~P2(f352(f464(x21291),f291(f303(a473,f313(a466,x21292)),a7)))+P2(f352(f464(x21291),f291(f303(a473,f404(f314(f366(a460,f365(f25(f31(a265)),f385(f30(f424(a77,f323(f42(a83),f326(f37(f35(a281)),f97(x21292))))),a280))),x21292),a280)),a7)))
% 40.48/40.62 [1272]~E(f425(x12722,x12721),f502(x12723))+E(f367(f447(a472,x12721),f12(x12722)),f12(x12722))
% 40.48/40.62 [1333]~E(f425(x13332,x13331),f502(x13333))+P2(f316(f443(a488,x13331),f12(x13332)))
% 40.48/40.62 [1682]~P2(f316(f393(a486,x16821),x16823))+P2(f312(f310(a499,f450(x16821,x16822)),f450(x16823,x16822)))
% 40.48/40.62 [1685]~P2(f352(f415(a487,x16851),x16853))+P2(f312(f310(a499,f295(x16851,x16852)),f295(x16853,x16852)))
% 40.48/40.62 [1354]~P2(f286(x13543,x13541))+E(f370(x13541,f291(f303(a473,x13542),a7)),x13542)
% 40.48/40.62 [1432]~E(x14321,x14323)+P2(f295(f291(f303(a473,x14321),x14322),x14323))
% 40.48/40.62 [1438]E(f293(f463(f81(x14381)),x14382),f367(f447(a472,x14381),a4))+~P2(f352(f300(a489,x14383),x14382))
% 40.48/40.62 [1439]E(f401(f470(f79(x14391)),x14392),f291(f303(a473,x14391),a7))+~P2(f316(f443(a488,x14393),x14392))
% 40.48/40.62 [1501]~P2(f295(x15012,x15013))+P2(f295(f291(f303(a473,x15011),x15012),x15013))
% 40.48/40.62 [1503]~P2(f295(x15032,x15033))+P2(f295(f291(f335(a512,x15031),x15032),x15033))
% 40.48/40.62 [1505]~P2(f295(x15051,x15053))+P2(f295(f291(f335(a512,x15051),x15052),x15053))
% 40.48/40.62 [1507]E(f367(f318(a504,x15071),f367(f447(a472,x15072),x15073)),f367(f318(a504,x15071),x15073))+P2(f316(f443(a488,x15072),x15071))
% 40.48/40.62 [1509]E(f291(f335(a509,x15091),f291(f303(a473,x15092),x15093)),f291(f335(a509,x15091),x15093))+P2(f352(f300(a489,x15092),x15091))
% 40.48/40.62 [1510]~E(x15101,x15102)+P2(f316(f443(a488,x15101),f367(f447(a472,x15102),x15103)))
% 40.48/40.62 [1512]~E(x15121,x15122)+P2(f352(f300(a489,x15121),f291(f303(a473,x15122),x15123)))
% 40.48/40.62 [1547]E(f367(f447(a472,f297(x15471,x15472)),f293(f463(x15471),x15473)),f293(f463(x15471),x15473))+~P2(f352(f300(a489,x15472),x15473))
% 40.48/40.62 [1548]E(f291(f303(a473,f435(x15481,x15482)),f401(f470(x15481),x15483)),f401(f470(x15481),x15483))+~P2(f316(f443(a488,x15482),x15483))
% 40.48/40.62 [1625]P2(f352(f464(x16251),x16252))+~P2(f352(f464(x16251),f291(f303(a473,x16253),x16252)))
% 40.48/40.62 [1631]E(f367(f318(a504,x16311),f367(f447(a472,x16312),x16313)),f367(f447(a472,x16312),f367(f318(a504,x16311),x16313)))+~P2(f316(f443(a488,x16312),x16311))
% 40.48/40.62 [1633]E(f291(f335(a509,x16331),f291(f303(a473,x16332),x16333)),f291(f303(a473,x16332),f291(f335(a509,x16331),x16333)))+~P2(f352(f300(a489,x16332),x16331))
% 40.48/40.62 [1638]~P2(f316(f443(a488,x16381),x16383))+P2(f316(f443(a488,x16381),f367(f447(a472,x16382),x16383)))
% 40.48/40.62 [1641]~P2(f316(f443(a488,x16411),x16413))+P2(f316(f443(a488,x16411),f367(f318(a513,x16412),x16413)))
% 40.48/40.62 [1644]~P2(f316(f443(a488,x16441),x16442))+P2(f316(f443(a488,x16441),f367(f318(a513,x16442),x16443)))
% 40.48/40.62 [1645]~P2(f316(f393(a486,x16451),x16453))+P2(f316(f393(a486,x16451),f367(f447(a472,x16452),x16453)))
% 40.48/40.62 [1646]~P2(f316(f393(a486,x16461),x16463))+P2(f316(f393(a486,x16461),f367(f318(a513,x16462),x16463)))
% 40.48/40.62 [1647]~P2(f316(f393(a486,x16471),x16472))+P2(f316(f393(a486,x16471),f367(f318(a513,x16472),x16473)))
% 40.48/40.62 [1648]~P2(f352(f415(a487,x16481),x16483))+P2(f352(f415(a487,x16481),f291(f303(a473,x16482),x16483)))
% 40.48/40.62 [1649]~P2(f352(f415(a487,x16491),x16493))+P2(f352(f415(a487,x16491),f291(f335(a512,x16492),x16493)))
% 40.48/40.62 [1650]~P2(f352(f415(a487,x16501),x16502))+P2(f352(f415(a487,x16501),f291(f335(a512,x16502),x16503)))
% 40.48/40.62 [1653]~P2(f352(f300(a489,x16531),x16533))+P2(f352(f300(a489,x16531),f291(f303(a473,x16532),x16533)))
% 40.48/40.62 [1656]~P2(f352(f300(a489,x16561),x16563))+P2(f352(f300(a489,x16561),f291(f335(a512,x16562),x16563)))
% 40.48/40.62 [1659]~P2(f352(f300(a489,x16591),x16592))+P2(f352(f300(a489,x16591),f291(f335(a512,x16592),x16593)))
% 40.48/40.62 [1676]P3(f168(x16761,x16762,x16763))+~P2(f352(f415(a487,x16761),f401(f470(x16762),x16763)))
% 40.48/40.62 [1677]P5(f147(x16771,x16772,x16773))+~P2(f352(f300(a489,x16771),f401(f470(x16772),x16773)))
% 40.48/40.62 [1678]P5(f171(x16781,x16782,x16783))+~P2(f352(f300(a489,x16781),f401(f470(x16782),x16783)))
% 40.48/40.62 [1696]E(f435(x16961,f147(x16962,x16961,x16963)),x16962)+~P2(f352(f300(a489,x16962),f401(f470(x16961),x16963)))
% 40.48/40.62 [1697]E(f435(x16971,f171(x16972,x16971,x16973)),x16972)+~P2(f352(f300(a489,x16972),f401(f470(x16971),x16973)))
% 40.48/40.62 [1703]E(f401(f470(x17031),f168(x17032,x17031,x17033)),x17032)+~P2(f352(f415(a487,x17032),f401(f470(x17031),x17033)))
% 40.48/40.62 [1720]~P2(f352(f300(a489,x17202),x17203))+P2(f316(f443(a488,f297(x17201,x17202)),f293(f463(x17201),x17203)))
% 40.48/40.62 [1721]~P2(f316(f443(a488,x17212),x17213))+P2(f352(f300(a489,f435(x17211,x17212)),f401(f470(x17211),x17213)))
% 40.48/40.62 [1771]P2(f316(f443(a488,x17711),x17712))+~P2(f316(f443(a488,x17711),f367(f318(a504,x17713),x17712)))
% 40.48/40.62 [1774]P2(f316(f443(a488,x17741),x17742))+~P2(f316(f443(a488,x17741),f367(f318(a504,x17742),x17743)))
% 40.48/40.62 [1775]P2(f316(f443(a488,x17751),x17752))+~P2(f316(f443(a488,x17751),f367(f318(a493,x17752),x17753)))
% 40.48/40.62 [1777]P2(f316(f393(a486,x17771),x17772))+~P2(f316(f393(a486,x17771),f367(f318(a504,x17773),x17772)))
% 40.48/40.62 [1779]P2(f316(f393(a486,x17791),x17792))+~P2(f316(f393(a486,x17791),f367(f318(a504,x17792),x17793)))
% 40.48/40.62 [1781]P2(f352(f415(a487,x17811),x17812))+~P2(f352(f415(a487,x17811),f291(f335(a509,x17813),x17812)))
% 40.48/40.62 [1783]P2(f352(f415(a487,x17831),x17832))+~P2(f352(f415(a487,x17831),f291(f335(a509,x17832),x17833)))
% 40.48/40.62 [1786]P2(f352(f300(a489,x17861),x17862))+~P2(f352(f300(a489,x17861),f291(f335(a509,x17863),x17862)))
% 40.48/40.62 [1789]P2(f352(f300(a489,x17891),x17892))+~P2(f352(f300(a489,x17891),f291(f335(a509,x17892),x17893)))
% 40.48/40.62 [1790]P2(f352(f300(a489,x17901),x17902))+~P2(f352(f300(a489,x17901),f291(f335(a494,x17902),x17903)))
% 40.48/40.62 [1794]~P2(f352(f415(a487,x17942),x17943))+P2(f316(f393(a486,f293(f463(x17941),x17942)),f293(f463(x17941),x17943)))
% 40.48/40.62 [1795]~P2(f316(f393(a486,x17952),x17953))+P2(f352(f415(a487,f401(f470(x17951),x17952)),f401(f470(x17951),x17953)))
% 40.48/40.62 [1815]~P2(f316(f443(a488,x18151),x18152))+~P2(f316(f443(a488,x18151),f367(f318(a493,x18153),x18152)))
% 40.48/40.62 [1816]~P2(f352(f300(a489,x18161),x18162))+~P2(f352(f300(a489,x18161),f291(f335(a494,x18163),x18162)))
% 40.48/40.62 [1817]~P2(f352(f464(x18171),f291(f303(a473,x18172),x18173)))+P2(f352(f464(x18171),f291(f303(a473,x18172),a7)))
% 40.48/40.62 [1851]P2(f312(f310(a508,f295(x18511,x18512)),f295(x18513,x18512)))+~P2(f295(f291(f335(a512,x18511),x18513),x18512))
% 40.48/40.62 [1852]P2(f450(x18521,x18522))+~P2(f316(f443(a488,x18522),f367(f318(a504,x18523),f367(a96,x18521))))
% 40.48/40.62 [1853]P2(f295(x18531,x18532))+~P2(f352(f300(a489,x18532),f291(f335(a509,x18533),f291(a13,x18531))))
% 40.48/40.62 [1854]P2(f316(x18541,x18542))+~P2(f355(f400(a490,x18542),f368(f382(a505,x18543),f368(a93,x18541))))
% 40.48/40.62 [1855]P2(f352(x18551,x18552))+~P2(f369(f324(a491,x18552),f292(f346(a507,x18553),f292(a14,x18551))))
% 40.48/40.62 [1874]~P2(f312(f310(a508,f295(x18741,x18743)),f295(x18742,x18743)))+P2(f295(f291(f335(a512,x18741),x18742),x18743))
% 40.48/40.62 [1879]P2(f355(f400(a490,x18791),x18792))+~P2(f355(f400(a490,x18791),f368(f382(a505,x18792),f368(a93,x18793))))
% 40.48/40.62 [1880]P2(f369(f324(a491,x18801),x18802))+~P2(f369(f324(a491,x18801),f292(f346(a507,x18802),f292(a14,x18803))))
% 40.48/40.62 [1894]~P2(f316(f393(a486,x18942),x18943))+P2(f316(f393(a486,f367(f447(a472,x18941),x18942)),f367(f447(a472,x18941),x18943)))
% 40.48/40.62 [1895]~P2(f352(f415(a487,x18952),x18953))+P2(f352(f415(a487,f291(f303(a473,x18951),x18952)),f291(f303(a473,x18951),x18953)))
% 40.48/40.62 [1927]~P2(f352(f300(a489,x19271),f401(f470(x19272),x19273)))+P2(f316(f443(a488,f147(x19271,x19272,x19273)),x19273))
% 40.48/40.62 [1928]~P2(f352(f300(a489,x19281),f401(f470(x19282),x19283)))+P2(f316(f443(a488,f171(x19281,x19282,x19283)),x19283))
% 40.48/40.62 [1929]~P2(f352(f415(a487,x19291),f401(f470(x19292),x19293)))+P2(f316(f393(a486,f168(x19291,x19292,x19293)),x19293))
% 40.48/40.62 [1559]P2(f316(f443(a488,x15591),x15593))+E(f367(f318(a504,f367(f447(a472,x15591),x15592)),x15593),f367(f318(a504,x15592),x15593))
% 40.48/40.62 [1561]P2(f352(f300(a489,x15611),x15613))+E(f291(f335(a509,f291(f303(a473,x15611),x15612)),x15613),f291(f335(a509,x15612),x15613))
% 40.48/40.62 [1660]P5(f236(x16601,x16602,x16603))+P2(f352(f415(a487,f401(f470(x16601),x16603)),x16602))
% 40.48/40.62 [1671]P2(f455(x16711,x16712))+P2(f455(f446(f97(f528(x16711,x16713)),x16712),x16712))
% 40.48/40.62 [1743]E(f367(f318(a513,f367(f318(a504,x17431),x17432)),x17433),f367(f318(a504,x17431),f367(f318(a513,x17432),x17433)))+~P2(f316(f393(a486,x17433),x17431))
% 40.48/40.62 [1745]E(f367(f318(a504,f367(f447(a472,x17451),x17452)),x17453),f367(f447(a472,x17451),f367(f318(a504,x17452),x17453)))+~P2(f316(f443(a488,x17451),x17453))
% 40.48/40.62 [1746]E(f291(f335(a512,f291(f335(a509,x17461),x17462)),x17463),f291(f335(a509,x17461),f291(f335(a512,x17462),x17463)))+~P2(f352(f415(a487,x17463),x17461))
% 40.48/40.62 [1748]E(f291(f335(a509,f291(f303(a473,x17481),x17482)),x17483),f291(f303(a473,x17481),f291(f335(a509,x17482),x17483)))+~P2(f352(f300(a489,x17481),x17483))
% 40.48/40.62 [1840]~P2(f316(f393(a486,x18402),x18403))+P2(f316(f393(a486,f367(f318(a504,x18401),x18402)),x18403))
% 40.48/40.62 [1841]~P2(f316(f393(a486,x18411),x18413))+P2(f316(f393(a486,f367(f318(a504,x18411),x18412)),x18413))
% 40.48/40.62 [1842]~P2(f352(f415(a487,x18422),x18423))+P2(f352(f415(a487,f291(f335(a509,x18421),x18422)),x18423))
% 40.48/40.62 [1843]~P2(f352(f415(a487,x18431),x18433))+P2(f352(f415(a487,f291(f335(a509,x18431),x18432)),x18433))
% 40.48/40.62 [1862]~E(f367(f318(a513,f367(f318(a504,x18622),x18623)),x18621),f367(f318(a504,x18622),f367(f318(a513,x18623),x18621)))+P2(f316(f393(a486,x18621),x18622))
% 40.48/40.62 [1863]~E(f291(f335(a512,f291(f335(a509,x18632),x18633)),x18631),f291(f335(a509,x18632),f291(f335(a512,x18633),x18631)))+P2(f352(f415(a487,x18631),x18632))
% 40.48/40.62 [1896]P2(f316(f443(a488,x18961),x18962))+~P2(f316(f393(a486,f367(f447(a472,x18961),x18963)),x18962))
% 40.48/40.62 [1897]P2(f316(f393(a486,x18971),x18972))+~P2(f316(f393(a486,f367(f447(a472,x18973),x18971)),x18972))
% 40.48/40.62 [1899]P2(f316(f393(a486,x18991),x18992))+~P2(f316(f393(a486,f367(f318(a513,x18993),x18991)),x18992))
% 40.48/40.62 [1901]P2(f316(f393(a486,x19011),x19012))+~P2(f316(f393(a486,f367(f318(a513,x19011),x19013)),x19012))
% 40.48/40.62 [1902]P2(f352(f415(a487,x19021),x19022))+~P2(f352(f415(a487,f291(f303(a473,x19023),x19021)),x19022))
% 40.48/40.62 [1904]P2(f352(f415(a487,x19041),x19042))+~P2(f352(f415(a487,f291(f335(a512,x19043),x19041)),x19042))
% 40.48/40.62 [1906]P2(f352(f415(a487,x19061),x19062))+~P2(f352(f415(a487,f291(f335(a512,x19061),x19063)),x19062))
% 40.48/40.62 [1907]P2(f352(f300(a489,x19071),x19072))+~P2(f352(f415(a487,f291(f303(a473,x19071),x19073)),x19072))
% 40.48/40.62 [1921]P2(f316(f443(a488,f236(x19211,x19212,x19213)),x19213))+P2(f352(f415(a487,f401(f470(x19211),x19213)),x19212))
% 40.48/40.62 [1922]P2(f352(f300(a489,f237(x19221,x19222,x19223)),x19223))+P2(f316(f393(a486,f293(f463(x19221),x19223)),x19222))
% 40.48/40.62 [2025]~P2(f316(f443(a488,x20253),f367(f318(a513,x20251),x20252)))+P2(f450(f367(f318(a513,f367(f408(a57,a488),x20251)),f367(f408(a57,a488),x20252)),x20253))
% 40.48/40.62 [2026]~P2(f316(f443(a488,x20263),f367(f318(a504,x20261),x20262)))+P2(f450(f367(f318(a504,f367(f408(a57,a488),x20261)),f367(f408(a57,a488),x20262)),x20263))
% 40.48/40.62 [2027]~P2(f352(f300(a489,x20273),f291(f335(a512,x20271),x20272)))+P2(f295(f291(f335(a512,f291(f327(a70,a489),x20271)),f291(f327(a70,a489),x20272)),x20273))
% 40.48/40.62 [2028]~P2(f352(f300(a489,x20283),f291(f335(a509,x20281),x20282)))+P2(f295(f291(f335(a509,f291(f327(a70,a489),x20281)),f291(f327(a70,a489),x20282)),x20283))
% 40.48/40.62 [2054]P2(f316(f443(a488,x20541),f367(f318(a513,x20542),x20543)))+~P2(f450(f367(f318(a513,f367(f408(a57,a488),x20542)),f367(f408(a57,a488),x20543)),x20541))
% 40.48/40.62 [2055]P2(f316(f443(a488,x20551),f367(f318(a504,x20552),x20553)))+~P2(f450(f367(f318(a504,f367(f408(a57,a488),x20552)),f367(f408(a57,a488),x20553)),x20551))
% 40.48/40.62 [2056]P2(f352(f300(a489,x20561),f291(f335(a512,x20562),x20563)))+~P2(f295(f291(f335(a512,f291(f327(a70,a489),x20562)),f291(f327(a70,a489),x20563)),x20561))
% 40.48/40.62 [2057]P2(f352(f300(a489,x20571),f291(f335(a509,x20572),x20573)))+~P2(f295(f291(f335(a509,f291(f327(a70,a489),x20572)),f291(f327(a70,a489),x20573)),x20571))
% 40.48/40.62 [2058]~P2(f316(f443(a488,f297(x20581,f237(x20581,x20583,x20582))),x20583))+P2(f316(f393(a486,f293(f463(x20581),x20582)),x20583))
% 40.48/40.62 [2059]~P2(f352(f300(a489,f435(x20591,f236(x20591,x20593,x20592))),x20593))+P2(f352(f415(a487,f401(f470(x20591),x20592)),x20593))
% 40.48/40.62 [2019]~P2(f455(f446(f97(f453(a9,x20191)),x20192),x20193))+P2(f455(f446(f97(f426(a518,f425(a6,x20191))),x20192),x20193))
% 40.48/40.62 [2029]P2(f455(f446(f97(f453(a9,x20291)),x20292),x20293))+~P2(f455(f446(f97(f426(a518,f425(a6,x20291))),x20292),x20293))
% 40.48/40.62 [1225]E(x12251,x12252)+~E(f528(x12253,x12251),f528(x12254,x12252))
% 40.48/40.62 [1226]E(x12261,x12262)+~E(f528(x12261,x12263),f528(x12262,x12264))
% 40.48/40.62 [1227]E(x12271,x12272)+~E(f506(x12273,x12271),f506(x12274,x12272))
% 40.48/40.62 [1228]E(x12281,x12282)+~E(f506(x12281,x12283),f506(x12282,x12284))
% 40.48/40.62 [2050]P2(f455(f446(f97(x20501),x20502),f155(x20501,x20503,x20502,x20504)))+~P2(f455(f446(f97(f506(x20501,x20503)),x20502),x20504))
% 40.48/40.62 [2073]P2(f455(f446(f97(x20731),f155(x20732,x20731,x20733,x20734)),x20734))+~P2(f455(f446(f97(f506(x20732,x20731)),x20733),x20734))
% 40.48/40.62 [2087]P2(f455(f446(x20871,f250(x20872,x20873,x20874,x20871)),f252(x20872,x20873,x20874,x20871)))+P2(f352(f464(x20872),f291(f303(a473,f404(f314(f366(a460,x20871),x20873),x20874)),a7)))
% 40.48/40.62 [2090]P2(f352(f464(x20901),f291(f303(a473,f404(f314(f366(a460,x20902),f453(a9,x20903)),x20904)),a7)))+~P2(f352(f464(x20901),f291(f303(a473,f404(f314(f366(a460,x20902),f426(a518,f425(a6,x20903))),x20904)),a7)))
% 40.48/40.62 [2115]P2(f352(f464(x21151),f291(f303(a473,f404(f314(f366(a460,x21152),f453(a9,x21153)),x21154)),a7)))+~P2(f352(f464(f291(f303(a473,f404(f314(f366(a460,x21152),f453(a9,x21153)),x21154)),x21151)),f291(f303(a473,f404(f314(f366(a460,x21152),f426(a518,f425(a6,x21153))),x21154)),a7)))
% 40.48/40.63 [2130]P2(f352(f464(x21301),f291(f303(a473,f404(f314(f366(a460,x21302),x21303),x21304)),a7)))+~P2(f352(f464(x21301),f291(f303(a473,f404(f314(f366(a460,f80(f446(f417(a66,a280),f252(x21301,x21303,x21304,x21302)))),x21303),f80(f446(x21304,f250(x21301,x21303,x21304,x21302))))),a7)))
% 40.48/40.63 [2123]~P2(f352(f464(f291(f335(a512,x21231),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21232)),a9)),x21233)),x21234))),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21232)),f428(f50(a518),a6))),x21233)),x21234)))+P2(f352(f464(x21231),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21232)),a9)),x21233)),x21234)))
% 40.48/40.63 [2124]~P2(f352(f461(f291(f335(a512,x21241),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21242)),a9)),x21243)),x21244))),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21242)),f428(f50(a518),a6))),x21243)),x21244)))+P2(f352(f461(x21241),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21242)),a9)),x21243)),x21244)))
% 40.48/40.63 [2120]P2(x21201)+P2(f352(f464(x21202),f291(f303(a473,f404(f314(f366(a460,f309(f413(a74,f423(f36(a69),f326(f37(f35(a277)),x21203))),x21201)),x21204),x21205)),a7)))
% 40.48/40.63 [2121]~P2(f352(f464(x21211),f291(f303(a473,f404(f314(f366(a460,x21212),x21214),x21215)),a7)))+P2(f352(f464(x21211),f291(f303(a473,f404(f314(f366(a460,f309(f413(a74,f423(f36(a69),f326(f37(f35(a277)),x21212))),x21213)),x21214),x21215)),a7)))
% 40.48/40.63 [1550]E(x15501,x15502)+~E(f404(f314(f366(a460,x15503),x15504),x15501),f404(f314(f366(a460,x15505),x15506),x15502))
% 40.48/40.63 [1551]E(x15511,x15512)+~E(f404(f314(f366(a460,x15513),x15511),x15514),f404(f314(f366(a460,x15515),x15512),x15516))
% 40.48/40.63 [1552]E(x15521,x15522)+~E(f404(f314(f366(a460,x15521),x15523),x15524),f404(f314(f366(a460,x15522),x15525),x15526))
% 40.48/40.63 [1161]~P1(x11611)+E(x11611,a266)+E(x11611,a11)
% 40.48/40.63 [1168]~P3(x11681)+E(x11681,a4)+P3(f134(x11681))
% 40.48/40.63 [1169]~P3(x11691)+E(x11691,a4)+P5(f264(x11691))
% 40.48/40.63 [1170]~P3(x11701)+E(x11701,a4)+P5(f99(x11701))
% 40.48/40.63 [1171]~P3(x11711)+E(x11711,a4)+P5(f135(x11711))
% 40.48/40.63 [1172]~P3(x11721)+E(x11721,a4)+P5(f136(x11721))
% 40.48/40.63 [1198]~P3(x11981)+~E(x11981,a4)+P2(f316(a268,x11981))
% 40.48/40.63 [1199]~P4(x11991)+~E(x11991,a5)+P2(f355(a271,x11991))
% 40.48/40.63 [1251]~P3(x12511)+E(x12511,a4)+E(f367(f447(a472,f135(x12511)),f134(x12511)),x12511)
% 40.48/40.63 [1299]E(x12991,a7)+~P2(f352(a269,x12991))+P2(f352(a269,f220(x12991)))
% 40.48/40.63 [1300]E(x13001,a10)+~P2(f369(a287,x13001))+P2(f369(a287,f217(x13001)))
% 40.48/40.63 [1311]E(x13111,a7)+E(f291(f303(a473,f221(x13111)),f220(x13111)),x13111)+~P2(f352(a269,x13111))
% 40.48/40.63 [1312]E(x13121,a10)+E(f292(f402(a485,f218(x13121)),f217(x13121)),x13121)+~P2(f369(a287,x13121))
% 40.48/40.63 [1344]~P3(x13441)+E(x13441,a4)+~P2(f316(f393(a486,x13441),a4))
% 40.48/40.63 [1437]~P3(x14371)+E(x14371,a4)+~P2(f316(f443(a488,f135(x14371)),f134(x14371)))
% 40.48/40.63 [1323]~P3(x13231)+E(x13231,a4)+P2(f316(f443(a488,f264(x13231)),x13231))
% 40.48/40.63 [1324]~P3(x13241)+E(x13241,a4)+P2(f316(f443(a488,f99(x13241)),x13241))
% 40.48/40.63 [1325]~P3(x13251)+E(x13251,a4)+P2(f316(f443(a488,f136(x13251)),x13251))
% 40.48/40.63 [1219]~P3(x12191)+~P5(x12192)+P1(f450(x12191,x12192))
% 40.48/40.63 [1220]~P3(x12202)+~P4(x12201)+P1(f316(x12201,x12202))
% 40.48/40.63 [1242]~E(f425(a6,x12422),f502(x12421))+~P2(a1)+P2(f294(a527,x12421))
% 40.48/40.63 [1268]~P5(x12682)+~P2(f450(x12681,x12682))+~E(f367(a96,x12681),a4)
% 40.48/40.63 [1269]~P3(x12692)+~P2(f316(x12691,x12692))+~E(f368(a93,x12691),a5)
% 40.48/40.63 [1189]~P3(x11892)+~E(x11892,a4)+E(f401(f470(x11891),x11892),a7)
% 40.48/40.63 [1211]~P3(x12111)+E(x12111,a4)+~E(f401(f470(x12112),x12111),a7)
% 40.48/40.63 [1213]~E(x12132,a7)+~E(x12131,a7)+E(f291(f335(a512,x12131),x12132),a7)
% 40.48/40.63 [1302]~P2(x13022)+~P2(x13021)+P2(f312(f310(a277,x13021),x13022))
% 40.48/40.63 [1316]~P6(x13162)+~E(x13162,f519(x13161))+P2(f316(f443(a488,x13161),f514(x13162)))
% 40.48/40.63 [1350]P2(x13501)+P2(x13502)+~P2(f312(f310(a278,x13502),x13501))
% 40.48/40.63 [1353]P2(x13531)+~P2(x13532)+~P2(f312(f310(a281,x13532),x13531))
% 40.48/40.63 [1370]~P3(x13702)+~E(f367(f318(a513,x13701),x13702),x13702)+P2(f316(f393(a486,x13701),x13702))
% 40.48/40.63 [1371]~P3(x13711)+~E(f367(f318(a504,x13711),x13712),x13711)+P2(f316(f393(a486,x13711),x13712))
% 40.48/40.63 [1394]~P6(x13941)+E(x13941,f519(x13942))+~P2(f316(f443(a488,x13942),f514(x13941)))
% 40.48/40.63 [1400]~P3(x14002)+P3(f143(x14001,x14002))+~P2(f316(f443(a488,x14001),x14002))
% 40.48/40.63 [1401]~P3(x14012)+P3(f145(x14011,x14012))+~P2(f316(f443(a488,x14011),x14012))
% 40.48/40.63 [1418]~P3(x14182)+E(f367(f447(a472,x14181),x14182),x14182)+~P2(f316(f443(a488,x14181),x14182))
% 40.48/40.63 [1422]~P3(x14222)+E(f367(f318(a513,x14221),x14222),x14222)+~P2(f316(f393(a486,x14221),x14222))
% 40.48/40.63 [1424]~P3(x14241)+E(f367(f318(a513,x14241),x14242),x14241)+~P2(f316(f393(a486,x14242),x14241))
% 40.48/40.63 [1426]~P3(x14262)+E(f367(f318(a504,x14261),x14262),x14262)+~P2(f316(f393(a486,x14262),x14261))
% 40.48/40.63 [1429]~P3(x14291)+E(f367(f318(a504,x14291),x14292),x14291)+~P2(f316(f393(a486,x14291),x14292))
% 40.48/40.63 [1430]~P2(f294(a527,x14302))+~P2(f294(a527,x14301))+P2(f294(a527,f506(x14301,x14302)))
% 40.48/40.63 [1441]P2(f316(a268,x14411))+~P2(f316(a268,x14412))+~P2(f316(f393(a486,x14411),x14412))
% 40.48/40.63 [1443]P2(f352(a269,x14431))+~P2(f352(a269,x14432))+~P2(f352(f415(a487,x14431),x14432))
% 40.48/40.63 [1445]P2(f355(a271,x14451))+~P2(f355(a271,x14452))+~P2(f355(f399(a498,x14451),x14452))
% 40.48/40.63 [1447]P2(f369(a287,x14471))+~P2(f369(a287,x14472))+~P2(f369(f328(a497,x14471),x14472))
% 40.48/40.63 [1448]~P3(x14482)+E(f367(f447(a472,x14481),f143(x14481,x14482)),x14482)+~P2(f316(f443(a488,x14481),x14482))
% 40.48/40.63 [1449]~P3(x14492)+E(f367(f447(a472,x14491),f145(x14491,x14492)),x14492)+~P2(f316(f443(a488,x14491),x14492))
% 40.48/40.63 [1523]E(x15231,x15232)+~P2(f352(f415(a487,x15232),x15231))+~P2(f352(f415(a487,x15231),x15232))
% 40.48/40.63 [1621]~P3(x16211)+~P2(f316(f443(a488,x16212),f143(x16212,x16211)))+~P2(f316(f443(a488,x16212),x16211))
% 40.48/40.63 [1622]~P3(x16221)+~P2(f316(f443(a488,x16222),f145(x16222,x16221)))+~P2(f316(f443(a488,x16222),x16221))
% 40.48/40.63 [1273]~P3(x12731)+E(x12731,a4)+E(f401(f470(f79(x12732)),x12731),f291(f303(a473,x12732),a7))
% 40.48/40.63 [1495]P3(f227(x14951,x14952))+P2(f355(a271,x14952))+~P2(f352(a269,f420(f480(x14951),x14952)))
% 40.48/40.63 [1496]P3(f228(x14961,x14962))+P2(f355(a271,x14962))+~P2(f316(a268,f412(f468(x14961),x14962)))
% 40.48/40.63 [1497]P5(f222(x14971,x14972))+P2(f316(a268,x14972))+~P2(f355(a271,f393(f476(x14971),x14972)))
% 40.48/40.63 [1498]P5(f223(x14981,x14982))+P2(f316(a268,x14982))+~P2(f369(a287,f364(f478(x14981),x14982)))
% 40.48/40.63 [1499]P5(f229(x14991,x14992))+P2(f316(a268,x14992))+~P2(f316(a268,f367(f483(x14991),x14992)))
% 40.48/40.63 [1500]P5(f232(x15001,x15002))+P2(f316(a268,x15002))+~P2(f352(a269,f401(f470(x15001),x15002)))
% 40.48/40.63 [1540]~P2(f316(a268,x15402))+~P2(f316(a268,x15401))+P2(f316(a268,f367(f318(a513,x15401),x15402)))
% 40.48/40.63 [1542]~P2(f352(a269,x15422))+~P2(f352(a269,x15421))+P2(f352(a269,f291(f335(a512,x15421),x15422)))
% 40.48/40.63 [1544]~P2(f355(a271,x15442))+~P2(f355(a271,x15441))+P2(f355(a271,f368(f382(a510,x15441),x15442)))
% 40.48/40.63 [1546]~P2(f369(a287,x15462))+~P2(f369(a287,x15461))+P2(f369(a287,f292(f346(a511,x15461),x15462)))
% 40.48/40.63 [1623]~P3(x16232)+E(f367(f318(a493,f367(f447(a472,x16231),x16232)),f367(f447(a472,x16231),a4)),x16232)+P2(f316(f443(a488,x16231),x16232))
% 40.48/40.63 [1705]P2(f316(a268,x17051))+P2(f316(f443(a488,f222(x17052,x17051)),x17051))+~P2(f355(a271,f393(f476(x17052),x17051)))
% 40.48/40.63 [1706]P2(f316(a268,x17061))+P2(f316(f443(a488,f223(x17062,x17061)),x17061))+~P2(f369(a287,f364(f478(x17062),x17061)))
% 40.48/40.63 [1707]P2(f316(a268,x17071))+P2(f316(f443(a488,f229(x17072,x17071)),x17071))+~P2(f316(a268,f367(f483(x17072),x17071)))
% 40.48/40.63 [1708]P2(f316(a268,x17081))+P2(f316(f443(a488,f232(x17082,x17081)),x17081))+~P2(f352(a269,f401(f470(x17082),x17081)))
% 40.48/40.63 [1709]P2(f352(a269,x17091))+P2(f352(f300(a489,f224(x17092,x17091)),x17091))+~P2(f352(a269,f291(f482(x17092),x17091)))
% 40.48/40.63 [1710]P2(f352(a269,x17101))+P2(f352(f300(a489,f231(x17102,x17101)),x17101))+~P2(f316(a268,f293(f463(x17102),x17101)))
% 40.48/40.63 [1711]P2(f352(a269,x17111))+P2(f352(f300(a489,f233(x17112,x17111)),x17111))+~P2(f355(a271,f406(f469(x17112),x17111)))
% 40.48/40.63 [1712]P2(f352(a269,x17121))+P2(f352(f300(a489,f235(x17122,x17121)),x17121))+~P2(f369(a287,f415(f477(x17122),x17121)))
% 40.48/40.63 [1713]P2(f355(a271,x17131))+P2(f355(f400(a490,f227(x17132,x17131)),x17131))+~P2(f352(a269,f420(f480(x17132),x17131)))
% 40.48/40.63 [1714]P2(f355(a271,x17141))+P2(f355(f400(a490,f228(x17142,x17141)),x17141))+~P2(f316(a268,f412(f468(x17142),x17141)))
% 40.48/40.63 [1715]P2(f369(a287,x17151))+P2(f369(f324(a491,f230(x17152,x17151)),x17151))+~P2(f352(a269,f421(f481(x17152),x17151)))
% 40.48/40.63 [1716]P2(f369(a287,x17161))+P2(f369(f324(a491,f234(x17162,x17161)),x17161))+~P2(f316(a268,f384(f475(x17162),x17161)))
% 40.48/40.63 [1717]E(x17171,a7)+E(x17171,f291(f303(a473,x17172),a7))+~P2(f352(f415(a487,x17171),f291(f303(a473,x17172),a7)))
% 40.48/40.63 [1718]~P3(x17182)+E(f367(f447(a472,x17181),f367(f318(a493,x17182),f367(f447(a472,x17181),a4))),x17182)+~P2(f316(f443(a488,x17181),x17182))
% 40.48/40.63 [2015]~P2(f316(a268,f367(a96,x20152)))+~P2(f316(a268,f367(a96,x20151)))+P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a278),x20151)),x20152))))
% 40.48/40.63 [2016]~P2(f352(a269,f291(a13,x20162)))+~P2(f352(a269,f291(a13,x20161)))+P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a278),x20161)),x20162))))
% 40.48/40.63 [2017]~P2(f355(a271,f368(a93,x20172)))+~P2(f355(a271,f368(a93,x20171)))+P2(f355(a271,f368(a93,f368(f405(a85,f338(f41(a278),x20171)),x20172))))
% 40.48/40.63 [2018]~P2(f369(a287,f292(a14,x20182)))+~P2(f369(a287,f292(a14,x20181)))+P2(f369(a287,f292(a14,f292(f361(a86,f396(f43(a278),x20181)),x20182))))
% 40.48/40.63 [2085]~P2(f316(a268,x20852))+P2(f352(f464(x20851),f401(f470(f354(f46(a466),a9)),x20852)))+~P2(f352(f464(f291(f335(a512,x20851),f401(f470(f354(f46(a466),a9)),x20852))),f401(f470(f354(f46(a466),f428(f50(a518),a6))),x20852)))
% 40.48/40.63 [2091]P2(f316(a268,x20911))+~P2(f316(a268,f367(f483(x20912),x20911)))+~P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a277),f367(f408(a57,a488),x20911))),f442(f381(a54,f332(f48(a274),x20912)),f452(x20912,f229(x20912,x20911)))))))
% 40.48/40.63 [2092]P2(f316(a268,x20921))+~P2(f352(a269,f401(f470(x20922),x20921)))+~P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a277),f367(f408(a57,a488),x20921))),f296(f349(a64,f433(f51(a276),x20922)),f435(x20922,f232(x20922,x20921)))))))
% 40.48/40.63 [2093]P2(f316(a268,x20931))+~P2(f355(a271,f393(f476(x20932),x20931)))+~P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a277),f367(f408(a57,a488),x20931))),f367(f408(a57,f403(f21(a275),x20932)),f442(x20932,f222(x20932,x20931)))))))
% 40.48/40.63 [2094]P2(f316(a268,x20941))+~P2(f369(a287,f364(f478(x20942),x20941)))+~P2(f316(a268,f367(a96,f367(f409(a82,f337(f52(a277),f367(f408(a57,a488),x20941))),f293(f343(a65,f372(f47(a279),x20942)),f448(x20942,f223(x20942,x20941)))))))
% 40.48/40.63 [2095]P2(f352(a269,x20951))+~P2(f316(a268,f293(f463(x20952),x20951)))+~P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a277),f291(f327(a70,a489),x20951))),f448(f388(a75,f416(f23(a274),x20952)),f297(x20952,f231(x20952,x20951)))))))
% 40.48/40.63 [2096]P2(f352(a269,x20961))+~P2(f352(a269,f291(f482(x20962),x20961)))+~P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a277),f291(f327(a70,a489),x20961))),f299(f386(a62,f358(f40(a276),x20962)),f305(x20962,f224(x20962,x20961)))))))
% 40.48/40.63 [2097]P2(f352(a269,x20971))+~P2(f355(a271,f406(f469(x20972),x20971)))+~P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a277),f291(f327(a70,a489),x20971))),f401(f351(a71,f390(f33(a275),x20972)),f296(x20972,f233(x20972,x20971)))))))
% 40.48/40.63 [2098]P2(f352(a269,x20981))+~P2(f369(a287,f415(f477(x20982),x20981)))+~P2(f352(a269,f291(a13,f291(f419(a84,f341(f28(a277),f291(f327(a70,a489),x20981))),f291(f327(a70,f357(f27(a279),x20982)),f299(x20982,f235(x20982,x20981)))))))
% 40.48/40.63 [2099]P2(f355(a271,x20991))+~P2(f316(a268,f412(f468(x20992),x20991)))+~P2(f355(a271,f368(a93,f368(f405(a85,f338(f41(a277),f368(f325(a67,a490),x20991))),f443(f376(a56,f333(f49(a274),x20992)),f321(x20992,f228(x20992,x20991)))))))
% 40.48/40.63 [2100]P2(f355(a271,x21001))+~P2(f352(a269,f420(f480(x21002),x21001)))+~P2(f355(a271,f368(a93,f368(f405(a85,f338(f41(a277),f368(f325(a67,a490),x21001))),f302(f387(a68,f395(f26(a276),x21002)),f330(x21002,f227(x21002,x21001)))))))
% 40.48/40.63 [2101]P2(f369(a287,x21011))+~P2(f316(a268,f384(f475(x21012),x21011)))+~P2(f369(a287,f292(a14,f292(f361(a86,f396(f43(a277),f292(f397(a61,a491),x21011))),f436(f373(a72,f371(f34(a274),x21012)),f317(x21012,f234(x21012,x21011)))))))
% 40.48/40.63 [2102]P2(f369(a287,x21021))+~P2(f352(a269,f421(f481(x21022),x21021)))+~P2(f369(a287,f292(a14,f292(f361(a86,f396(f43(a277),f292(f397(a61,a491),x21021))),f300(f398(a63,f394(f24(a276),x21022)),f370(x21022,f230(x21022,x21021)))))))
% 40.48/40.63 [2131]~P2(a2)+P2(f352(f464(x21311),f291(f303(a473,f313(a466,x21312)),a7)))+~P2(f352(f464(x21311),f291(f303(a473,f404(f314(f366(a460,f365(f25(f31(a265)),f385(f30(f424(a77,f323(f42(a83),f326(f37(f35(a281)),f97(x21312))))),a280))),x21312),a280)),a7)))
% 40.48/40.63 [1351]~E(x13511,f291(f303(a473,x13512),x13513))+~P2(f352(a269,x13513))+P2(f352(a269,x13511))
% 40.48/40.63 [1352]~E(x13521,f292(f402(a485,x13522),x13523))+~P2(f369(a287,x13523))+P2(f369(a287,x13521))
% 40.48/40.63 [1365]~E(x13653,a7)+~E(x13653,f291(f303(a473,x13651),x13652))+P2(f352(f300(a489,x13651),x13652))
% 40.48/40.63 [1431]~P2(f352(f464(x14313),x14312))+P2(f352(f464(x14311),x14312))+~P2(f352(f464(x14311),x14313))
% 40.48/40.63 [1460]P2(f450(x14601,x14602))+~P2(f450(x14603,x14602))+~P2(f316(f393(a486,x14603),x14601))
% 40.48/40.63 [1462]P2(f295(x14621,x14622))+~P2(f295(x14623,x14622))+~P2(f352(f415(a487,x14623),x14621))
% 40.48/40.63 [1513]P2(f352(f464(x15131),x15132))+~P2(f352(f464(x15133),x15132))+~P2(f352(f415(a487,x15133),x15131))
% 40.48/40.63 [1514]P2(f352(f464(x15141),x15142))+~P2(f352(f464(x15141),x15143))+~P2(f352(f415(a487,x15142),x15143))
% 40.48/40.63 [1601]~P2(f316(f443(a488,x16011),x16013))+~P2(f316(f393(a486,x16013),x16012))+P2(f316(f443(a488,x16011),x16012))
% 40.48/40.63 [1604]~P2(f316(f393(a486,x16041),x16043))+P2(f316(f393(a486,x16041),x16042))+~P2(f316(f393(a486,x16043),x16042))
% 40.48/40.63 [1607]~P2(f352(f415(a487,x16071),x16073))+P2(f352(f415(a487,x16071),x16072))+~P2(f352(f415(a487,x16073),x16072))
% 40.48/40.63 [1611]~P2(f352(f300(a489,x16111),x16113))+P2(f352(f300(a489,x16111),x16112))+~P2(f352(f415(a487,x16113),x16112))
% 40.48/40.63 [1791]~E(x17913,f502(x17912))+P2(f294(x17911,x17912))+~P2(f294(x17911,f261(x17912,x17911,x17913)))
% 40.48/40.63 [1876]~E(x18763,f502(x18762))+P2(f294(x18761,x18762))+P2(f427(f315(a492,f261(x18762,x18761,x18763)),f516(x18763)))
% 40.48/40.63 [1366]~P5(x13662)+~P2(f272(x13663,x13661))+E(f321(x13661,f367(f447(a472,x13662),a4)),x13662)
% 40.48/40.63 [1584]E(x15841,x15842)+P2(f295(x15843,x15842))+~P2(f295(f291(f303(a473,x15841),x15843),x15842))
% 40.48/40.63 [1585]P2(f316(a268,x15851))+~P2(f316(a268,x15852))+~P2(f316(f393(a486,x15851),f367(f483(x15853),x15852)))
% 40.48/40.63 [1586]P2(f316(a268,x15861))+~P2(f352(a269,x15862))+~P2(f316(f393(a486,x15861),f293(f463(x15863),x15862)))
% 40.48/40.63 [1587]P2(f316(a268,x15871))+~P2(f355(a271,x15872))+~P2(f316(f393(a486,x15871),f412(f468(x15873),x15872)))
% 40.48/40.63 [1588]P2(f316(a268,x15881))+~P2(f369(a287,x15882))+~P2(f316(f393(a486,x15881),f384(f475(x15883),x15882)))
% 40.48/40.63 [1589]P2(f352(a269,x15891))+~P2(f316(a268,x15892))+~P2(f352(f415(a487,x15891),f401(f470(x15893),x15892)))
% 40.48/40.63 [1590]P2(f352(a269,x15901))+~P2(f355(a271,x15902))+~P2(f352(f415(a487,x15901),f420(f480(x15903),x15902)))
% 40.48/40.63 [1591]P2(f352(a269,x15911))+~P2(f369(a287,x15912))+~P2(f352(f415(a487,x15911),f421(f481(x15913),x15912)))
% 40.48/40.63 [1592]P2(f355(a271,x15921))+~P2(f316(a268,x15922))+~P2(f355(f399(a498,x15921),f393(f476(x15923),x15922)))
% 40.48/40.63 [1593]P2(f355(a271,x15931))+~P2(f352(a269,x15932))+~P2(f355(f399(a498,x15931),f406(f469(x15933),x15932)))
% 40.48/40.63 [1594]P2(f369(a287,x15941))+~P2(f316(a268,x15942))+~P2(f369(f328(a497,x15941),f364(f478(x15943),x15942)))
% 40.48/40.63 [1595]P2(f369(a287,x15951))+~P2(f352(a269,x15952))+~P2(f369(f328(a497,x15951),f415(f477(x15953),x15952)))
% 40.48/40.63 [1624]P2(f295(x16241,x16242))+P2(f295(x16243,x16242))+~P2(f295(f291(f335(a512,x16243),x16241),x16242))
% 40.48/40.63 [1704]~P5(x17042)+E(f297(x17041,f172(x17042,x17041,x17043)),x17042)+~P2(f316(f443(a488,x17042),f293(f463(x17041),x17043)))
% 40.48/40.63 [1719]~P3(x17192)+E(f293(f463(x17191),f153(x17192,x17191,x17193)),x17192)+~P2(f316(f393(a486,x17192),f293(f463(x17191),x17193)))
% 40.48/40.63 [1733]P3(f195(x17331,x17332,x17333))+~P2(f369(a287,x17333))+~P2(f369(f328(a497,x17333),f364(f478(x17331),x17332)))
% 40.48/40.63 [1734]P3(f207(x17341,x17342,x17343))+~P2(f352(a269,x17343))+~P2(f352(f415(a487,x17343),f401(f470(x17341),x17342)))
% 40.48/40.63 [1735]P4(f196(x17351,x17352,x17353))+~P2(f352(a269,x17353))+~P2(f352(f415(a487,x17353),f420(f480(x17351),x17352)))
% 40.48/40.63 [1750]E(f415(f477(x17501),f200(x17501,x17502,x17503)),x17503)+~P2(f369(a287,x17503))+~P2(f369(f328(a497,x17503),f415(f477(x17501),x17502)))
% 40.48/40.63 [1751]E(f364(f478(x17511),f195(x17511,x17512,x17513)),x17513)+~P2(f369(a287,x17513))+~P2(f369(f328(a497,x17513),f364(f478(x17511),x17512)))
% 40.48/40.63 [1752]E(f420(f480(x17521),f196(x17521,x17522,x17523)),x17523)+~P2(f352(a269,x17523))+~P2(f352(f415(a487,x17523),f420(f480(x17521),x17522)))
% 40.48/40.63 [1753]E(f421(f481(x17531),f199(x17531,x17532,x17533)),x17533)+~P2(f352(a269,x17533))+~P2(f352(f415(a487,x17533),f421(f481(x17531),x17532)))
% 40.48/40.63 [1754]E(f401(f470(x17541),f207(x17541,x17542,x17543)),x17543)+~P2(f352(a269,x17543))+~P2(f352(f415(a487,x17543),f401(f470(x17541),x17542)))
% 40.48/40.63 [1760]~P2(f316(f443(a488,x17601),x17603))+P2(f316(f443(a488,x17601),x17602))+P2(f316(f443(a488,x17601),f367(f318(a493,x17603),x17602)))
% 40.48/40.63 [1762]~P2(f352(f300(a489,x17621),x17623))+P2(f352(f300(a489,x17621),x17622))+P2(f352(f300(a489,x17621),f291(f335(a494,x17623),x17622)))
% 40.48/40.63 [1793]E(x17931,x17932)+P2(f352(f300(a489,x17931),x17933))+~P2(f352(f300(a489,x17931),f291(f303(a473,x17932),x17933)))
% 40.48/40.63 [1804]~P2(f316(f443(a488,x18041),x18042))+~P2(f316(f443(a488,x18041),x18043))+P2(f316(f443(a488,x18041),f367(f318(a504,x18042),x18043)))
% 40.48/40.63 [1808]~P2(f316(f393(a486,x18081),x18082))+~P2(f316(f393(a486,x18081),x18083))+P2(f316(f393(a486,x18081),f367(f318(a504,x18082),x18083)))
% 40.48/40.63 [1812]~P2(f352(f415(a487,x18121),x18122))+~P2(f352(f415(a487,x18121),x18123))+P2(f352(f415(a487,x18121),f291(f335(a509,x18122),x18123)))
% 40.48/40.63 [1814]~P2(f352(f300(a489,x18141),x18142))+~P2(f352(f300(a489,x18141),x18143))+P2(f352(f300(a489,x18141),f291(f335(a509,x18142),x18143)))
% 40.48/40.63 [1828]~P2(f450(x18283,x18281))+~P2(f316(f443(a488,x18281),x18282))+P2(f316(f443(a488,x18281),f367(f318(a504,x18282),f367(a96,x18283))))
% 40.48/40.63 [1829]~P2(f295(x18293,x18291))+~P2(f352(f300(a489,x18291),x18292))+P2(f352(f300(a489,x18291),f291(f335(a509,x18292),f291(a13,x18293))))
% 40.48/40.63 [1830]~P2(f316(x18303,x18301))+~P2(f355(f400(a490,x18301),x18302))+P2(f355(f400(a490,x18301),f368(f382(a505,x18302),f368(a93,x18303))))
% 40.48/40.63 [1831]~P2(f352(x18313,x18311))+~P2(f369(f324(a491,x18311),x18312))+P2(f369(f324(a491,x18311),f292(f346(a507,x18312),f292(a14,x18313))))
% 40.48/40.63 [1844]P2(f316(f443(a488,x18441),x18442))+P2(f316(f393(a486,x18442),x18443))+~P2(f316(f393(a486,x18442),f367(f447(a472,x18441),x18443)))
% 40.48/40.63 [1846]P2(f316(f443(a488,x18461),x18463))+P2(f316(f443(a488,x18461),x18462))+~P2(f316(f443(a488,x18461),f367(f318(a513,x18463),x18462)))
% 40.48/40.63 [1847]P2(f352(f415(a487,x18471),x18472))+P2(f352(f300(a489,x18473),x18471))+~P2(f352(f415(a487,x18471),f291(f303(a473,x18473),x18472)))
% 40.48/40.63 [1849]P2(f352(f300(a489,x18491),x18493))+P2(f352(f300(a489,x18491),x18492))+~P2(f352(f300(a489,x18491),f291(f335(a512,x18493),x18492)))
% 40.48/40.63 [1856]~P2(f369(a287,x18563))+P2(f316(a268,f195(x18561,x18562,x18563)))+~P2(f369(f328(a497,x18563),f364(f478(x18561),x18562)))
% 40.48/40.63 [1857]~P2(f352(a269,x18573))+P2(f316(a268,f207(x18571,x18572,x18573)))+~P2(f352(f415(a487,x18573),f401(f470(x18571),x18572)))
% 40.48/40.63 [1858]~P2(f369(a287,x18583))+P2(f352(a269,f200(x18581,x18582,x18583)))+~P2(f369(f328(a497,x18583),f415(f477(x18581),x18582)))
% 40.48/40.63 [1859]~P2(f352(a269,x18593))+P2(f355(a271,f196(x18591,x18592,x18593)))+~P2(f352(f415(a487,x18593),f420(f480(x18591),x18592)))
% 40.48/40.63 [1860]~P2(f352(a269,x18603))+P2(f369(a287,f199(x18601,x18602,x18603)))+~P2(f352(f415(a487,x18603),f421(f481(x18601),x18602)))
% 40.48/40.63 [1872]~P2(f352(f464(x18721),x18723))+P2(f352(f464(x18721),f291(f303(a473,x18722),x18723)))+~P2(f352(f464(x18721),f291(f303(a473,x18722),a7)))
% 40.48/40.63 [1942]~P3(x19421)+~P2(f316(f393(a486,x19421),f293(f463(x19422),x19423)))+P2(f352(f415(a487,f153(x19421,x19422,x19423)),x19423))
% 40.48/40.63 [1943]~P5(x19431)+~P2(f316(f443(a488,x19431),f293(f463(x19432),x19433)))+P2(f352(f300(a489,f172(x19431,x19432,x19433)),x19433))
% 40.48/40.63 [1958]~P2(f369(a287,x19583))+~P2(f369(f328(a497,x19583),f364(f478(x19581),x19582)))+P2(f316(f393(a486,f195(x19581,x19582,x19583)),x19582))
% 40.48/40.63 [1959]~P2(f352(a269,x19593))+~P2(f352(f415(a487,x19593),f401(f470(x19591),x19592)))+P2(f316(f393(a486,f207(x19591,x19592,x19593)),x19592))
% 40.48/40.63 [1960]~P2(f369(a287,x19603))+~P2(f369(f328(a497,x19603),f415(f477(x19601),x19602)))+P2(f352(f415(a487,f200(x19601,x19602,x19603)),x19602))
% 40.48/40.63 [1961]~P2(f352(a269,x19613))+~P2(f352(f415(a487,x19613),f420(f480(x19611),x19612)))+P2(f355(f399(a498,f196(x19611,x19612,x19613)),x19612))
% 40.48/40.63 [1962]~P2(f352(a269,x19623))+~P2(f352(f415(a487,x19623),f421(f481(x19621),x19622)))+P2(f369(f328(a497,f199(x19621,x19622,x19623)),x19622))
% 40.48/40.63 [1884]~P2(f316(f443(a488,x18841),x18843))+~P2(f316(f393(a486,x18842),x18843))+P2(f316(f393(a486,f367(f447(a472,x18841),x18842)),x18843))
% 40.48/40.63 [1888]~P2(f316(f393(a486,x18882),x18883))+~P2(f316(f393(a486,x18881),x18883))+P2(f316(f393(a486,f367(f318(a513,x18881),x18882)),x18883))
% 40.48/40.63 [1889]~P2(f352(f415(a487,x18892),x18893))+~P2(f352(f300(a489,x18891),x18893))+P2(f352(f415(a487,f291(f303(a473,x18891),x18892)),x18893))
% 40.48/40.63 [1893]~P2(f352(f415(a487,x18932),x18933))+~P2(f352(f415(a487,x18931),x18933))+P2(f352(f415(a487,f291(f335(a512,x18931),x18932)),x18933))
% 40.48/40.63 [2086]~P2(f352(f464(a7),f291(f303(a473,f313(a466,x20862)),a7)))+~P2(f352(f461(a7),f291(f303(a473,f404(f314(f366(a460,x20861),x20862),x20863)),a7)))+P2(f352(f464(a7),f291(f303(a473,f404(f314(f366(a460,x20861),x20862),x20863)),a7)))
% 40.48/40.63 [1755]~P2(f295(x17551,x17554))+P2(f295(x17551,f247(x17551,x17552,x17553)))+~P2(f352(f300(a489,x17554),x17553))
% 40.48/40.63 [1756]~P2(f295(x17561,x17564))+P2(f295(x17561,f247(x17561,x17562,x17563)))+~P2(f352(f300(a489,x17564),x17562))
% 40.48/40.63 [1870]P2(f295(x18701,x18702))+~P2(f295(x18701,f242(x18701,x18703,x18704)))+~P2(f352(f300(a489,x18702),x18704))
% 40.48/40.63 [1871]P2(f295(x18711,x18712))+~P2(f295(x18711,f242(x18711,x18713,x18714)))+~P2(f352(f300(a489,x18712),x18713))
% 40.48/40.63 [1875]~E(x18752,x18754)+P5(f141(x18751,x18753,x18752,x18754))+E(f401(f470(x18751),x18752),f401(f470(x18753),x18754))
% 40.48/40.63 [2053]~E(x20532,x20534)+~E(f435(x20531,f141(x20531,x20533,x20532,x20534)),f435(x20533,f141(x20531,x20533,x20532,x20534)))+E(f401(f470(x20531),x20532),f401(f470(x20533),x20534))
% 40.48/40.63 [1494]~E(x14942,x14943)+~E(x14941,x14944)+E(f291(f303(a473,x14941),f291(f303(a473,x14942),a7)),f291(f303(a473,x14943),f291(f303(a473,x14944),a7)))
% 40.48/40.63 [1579]~E(x15791,f297(x15792,x15794))+~P2(f352(f300(a489,x15794),x15793))+P2(f316(f443(a488,x15791),f293(f463(x15792),x15793)))
% 40.48/40.63 [1581]~E(x15811,f435(x15812,x15814))+~P2(f316(f443(a488,x15814),x15813))+P2(f352(f300(a489,x15811),f401(f470(x15812),x15813)))
% 40.48/40.63 [1626]E(x16261,x16262)+E(x16263,x16261)+~E(f291(f303(a473,x16261),f291(f303(a473,x16264),a7)),f291(f303(a473,x16262),f291(f303(a473,x16263),a7)))
% 40.48/40.63 [1627]E(x16271,x16272)+E(x16273,x16271)+~E(f291(f303(a473,x16273),f291(f303(a473,x16272),a7)),f291(f303(a473,x16274),f291(f303(a473,x16271),a7)))
% 40.48/40.63 [1628]E(x16281,x16282)+E(x16281,x16283)+~E(f291(f303(a473,x16283),f291(f303(a473,x16282),a7)),f291(f303(a473,x16284),f291(f303(a473,x16281),a7)))
% 40.48/40.63 [1629]E(x16291,x16292)+E(x16291,x16293)+~E(f291(f303(a473,x16291),f291(f303(a473,x16294),a7)),f291(f303(a473,x16292),f291(f303(a473,x16293),a7)))
% 40.48/40.63 [1636]E(x16361,x16362)+~P2(f455(f446(f97(x16363),x16364),x16362))+~P2(f455(f446(f97(x16363),x16364),x16361))
% 40.48/40.63 [1933]~P2(f316(f393(a486,x19332),x19334))+~P2(f316(f393(a486,x19331),x19333))+P2(f316(f393(a486,f367(f318(a513,x19331),x19332)),f367(f318(a513,x19333),x19334)))
% 40.48/40.63 [1935]~P2(f316(f393(a486,x19352),x19354))+~P2(f316(f393(a486,x19351),x19353))+P2(f316(f393(a486,f367(f318(a504,x19351),x19352)),f367(f318(a504,x19353),x19354)))
% 40.48/40.63 [1937]~P2(f352(f415(a487,x19372),x19374))+~P2(f352(f415(a487,x19371),x19373))+P2(f352(f415(a487,f291(f335(a512,x19371),x19372)),f291(f335(a512,x19373),x19374)))
% 40.48/40.63 [1939]~P2(f352(f415(a487,x19392),x19394))+~P2(f352(f415(a487,x19391),x19393))+P2(f352(f415(a487,f291(f335(a509,x19391),x19392)),f291(f335(a509,x19393),x19394)))
% 40.48/40.63 [1969]P2(f295(x19691,x19692))+~P2(f352(f300(a489,x19692),x19694))+P2(f352(f300(a489,f242(x19691,x19693,x19694)),f291(f335(a512,x19693),x19694)))
% 40.48/40.63 [1970]P2(f295(x19701,x19702))+~P2(f352(f300(a489,x19702),x19703))+P2(f352(f300(a489,f242(x19701,x19703,x19704)),f291(f335(a512,x19703),x19704)))
% 40.48/40.63 [1973]~P2(f295(x19731,x19734))+~P2(f352(f300(a489,x19734),x19733))+P2(f352(f300(a489,f247(x19731,x19732,x19733)),f291(f335(a512,x19732),x19733)))
% 40.48/40.63 [1974]~P2(f295(x19741,x19744))+~P2(f352(f300(a489,x19744),x19742))+P2(f352(f300(a489,f247(x19741,x19742,x19743)),f291(f335(a512,x19742),x19743)))
% 40.48/40.63 [2035]P3(f175(x20351,x20352,x20353,x20354))+~P2(f355(f399(a498,x20353),x20354))+P2(f355(f399(a498,f368(f382(a505,x20353),f368(a93,x20352))),f368(f382(a505,x20354),f368(a93,x20351))))
% 40.48/40.63 [2036]P5(f169(x20361,x20362,x20363,x20364))+~P2(f316(f393(a486,x20363),x20364))+P2(f316(f393(a486,f367(f318(a504,x20363),f367(a96,x20362))),f367(f318(a504,x20364),f367(a96,x20361))))
% 40.48/40.63 [2060]P2(f450(x20601,f169(x20602,x20601,x20603,x20604)))+~P2(f316(f393(a486,x20603),x20604))+P2(f316(f393(a486,f367(f318(a504,x20603),f367(a96,x20601))),f367(f318(a504,x20604),f367(a96,x20602))))
% 40.48/40.63 [2061]P2(f295(x20611,f170(x20612,x20611,x20613,x20614)))+~P2(f352(f415(a487,x20613),x20614))+P2(f352(f415(a487,f291(f335(a509,x20613),f291(a13,x20611))),f291(f335(a509,x20614),f291(a13,x20612))))
% 40.48/40.63 [2062]P2(f316(x20621,f175(x20622,x20621,x20623,x20624)))+~P2(f355(f399(a498,x20623),x20624))+P2(f355(f399(a498,f368(f382(a505,x20623),f368(a93,x20621))),f368(f382(a505,x20624),f368(a93,x20622))))
% 40.48/40.63 [2063]P2(f352(x20631,f176(x20632,x20631,x20633,x20634)))+~P2(f369(f328(a497,x20633),x20634))+P2(f369(f328(a497,f292(f346(a507,x20633),f292(a14,x20631))),f292(f346(a507,x20634),f292(a14,x20632))))
% 40.48/40.63 [2064]~E(x20642,x20644)+E(f401(f470(x20641),x20642),f401(f470(x20643),x20644))+P2(f316(f443(a488,f141(x20641,x20643,x20642,x20644)),x20644))
% 40.48/40.63 [2065]~P2(f450(x20654,f169(x20654,x20652,x20651,x20653)))+~P2(f316(f393(a486,x20651),x20653))+P2(f316(f393(a486,f367(f318(a504,x20651),f367(a96,x20652))),f367(f318(a504,x20653),f367(a96,x20654))))
% 40.48/40.63 [2066]~P2(f295(x20664,f170(x20664,x20662,x20661,x20663)))+~P2(f352(f415(a487,x20661),x20663))+P2(f352(f415(a487,f291(f335(a509,x20661),f291(a13,x20662))),f291(f335(a509,x20663),f291(a13,x20664))))
% 40.48/40.63 [2067]~P2(f316(x20674,f175(x20674,x20672,x20671,x20673)))+~P2(f355(f399(a498,x20671),x20673))+P2(f355(f399(a498,f368(f382(a505,x20671),f368(a93,x20672))),f368(f382(a505,x20673),f368(a93,x20674))))
% 40.48/40.63 [2068]~P2(f352(x20684,f176(x20684,x20682,x20681,x20683)))+~P2(f369(f328(a497,x20681),x20683))+P2(f369(f328(a497,f292(f346(a507,x20681),f292(a14,x20682))),f292(f346(a507,x20683),f292(a14,x20684))))
% 40.48/40.63 [2077]~P2(f316(f393(a486,x20773),x20774))+P2(f316(f443(a488,f169(x20771,x20772,x20773,x20774)),x20773))+P2(f316(f393(a486,f367(f318(a504,x20773),f367(a96,x20772))),f367(f318(a504,x20774),f367(a96,x20771))))
% 40.48/40.63 [2078]~P2(f352(f415(a487,x20783),x20784))+P2(f352(f300(a489,f170(x20781,x20782,x20783,x20784)),x20783))+P2(f352(f415(a487,f291(f335(a509,x20783),f291(a13,x20782))),f291(f335(a509,x20784),f291(a13,x20781))))
% 40.48/40.63 [2079]~P2(f355(f399(a498,x20793),x20794))+P2(f355(f400(a490,f175(x20791,x20792,x20793,x20794)),x20793))+P2(f355(f399(a498,f368(f382(a505,x20793),f368(a93,x20792))),f368(f382(a505,x20794),f368(a93,x20791))))
% 40.48/40.63 [2080]~P2(f369(f328(a497,x20803),x20804))+P2(f369(f324(a491,f176(x20801,x20802,x20803,x20804)),x20803))+P2(f369(f328(a497,f292(f346(a507,x20803),f292(a14,x20802))),f292(f346(a507,x20804),f292(a14,x20801))))
% 40.48/40.63 [1861]E(x18611,x18612)+P2(f455(x18613,x18611))+~P2(f455(f446(f97(f528(x18613,x18614)),x18611),x18612))
% 40.48/40.63 [2051]E(x20511,x20512)+P2(f455(f446(f97(x20513),x20511),f156(x20514,x20513,x20511,x20512)))+~P2(f455(f446(f97(f528(x20514,x20513)),x20511),x20512))
% 40.48/40.63 [2052]~P2(f455(x20523,x20522))+P2(f455(f446(f97(x20521),x20522),f156(x20523,x20521,x20522,x20524)))+~P2(f455(f446(f97(f528(x20523,x20521)),x20522),x20524))
% 40.48/40.63 [2074]E(x20741,x20742)+P2(f455(f446(f97(f528(x20743,x20744)),f156(x20743,x20744,x20741,x20742)),x20742))+~P2(f455(f446(f97(f528(x20743,x20744)),x20741),x20742))
% 40.48/40.63 [2075]~P2(f455(x20751,x20753))+P2(f455(f446(f97(f528(x20751,x20752)),f156(x20751,x20752,x20753,x20754)),x20754))+~P2(f455(f446(f97(f528(x20751,x20752)),x20753),x20754))
% 40.48/40.63 [1908]~P2(f455(f446(f97(x19081),x19083),x19085))+~P2(f455(f446(f97(x19082),x19085),x19084))+P2(f455(f446(f97(f506(x19081,x19082)),x19083),x19084))
% 40.48/40.63 [2116]P2(f455(f446(x21161,f253(x21161,x21162,x21163,x21164,x21165)),f254(x21161,x21162,x21163,x21164,x21165)))+P2(f352(f464(x21162),f291(f303(a473,f404(f314(f366(a460,x21161),x21164),x21165)),a7)))+~P2(f352(f464(x21162),f291(f303(a473,f404(f314(f366(a460,x21163),x21164),x21165)),a7)))
% 40.48/40.63 [2117]P2(f455(f446(x21171,f255(x21172,x21173,x21174,x21175,x21171)),f257(x21172,x21173,x21174,x21175,x21171)))+~P2(f352(f464(x21173),f291(f303(a473,f404(f314(f366(a460,x21174),x21175),x21171)),a7)))+P2(f352(f464(x21173),f291(f303(a473,f404(f314(f366(a460,x21174),x21175),x21172)),a7)))
% 40.48/40.63 [2118]~P2(f455(f446(x21185,f253(x21182,x21181,x21185,x21183,x21184)),f254(x21182,x21181,x21185,x21183,x21184)))+~P2(f352(f464(x21181),f291(f303(a473,f404(f314(f366(a460,x21185),x21183),x21184)),a7)))+P2(f352(f464(x21181),f291(f303(a473,f404(f314(f366(a460,x21182),x21183),x21184)),a7)))
% 40.48/40.63 [2119]~P2(f455(f446(x21194,f255(x21194,x21191,x21192,x21193,x21195)),f257(x21194,x21191,x21192,x21193,x21195)))+~P2(f352(f464(x21191),f291(f303(a473,f404(f314(f366(a460,x21192),x21193),x21195)),a7)))+P2(f352(f464(x21191),f291(f303(a473,f404(f314(f366(a460,x21192),x21193),x21194)),a7)))
% 40.48/40.63 [2122]~P2(f316(f443(a488,x21223),x21225))+P2(f352(f464(x21221),f291(f303(a473,f404(f314(f366(a460,f440(x21222,x21223)),f453(a9,x21223)),f440(x21224,x21223))),a7)))+~P2(f352(f464(f291(f335(a512,x21221),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21222)),a9)),x21224)),x21225))),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21222)),f428(f50(a518),a6))),x21224)),x21225)))
% 40.48/40.63 [2089]~P2(f352(f464(x20891),f291(f303(a473,f404(f314(f366(a460,x20892),x20893),x20896)),a7)))+P2(f352(f464(x20891),f291(f303(a473,f404(f314(f366(a460,x20892),f506(x20893,x20894)),x20895)),a7)))+~P2(f352(f464(x20891),f291(f303(a473,f404(f314(f366(a460,x20896),x20894),x20895)),a7)))
% 40.48/40.63 [2126]P2(f455(f446(x21261,f260(x21262,x21261,x21263,x21264,x21265,x21266)),f259(x21262,x21261,x21263,x21264,x21265,x21266)))+P2(f352(f464(x21263),f291(f303(a473,f404(f314(f366(a460,x21261),x21265),x21262)),a7)))+~P2(f352(f464(x21263),f291(f303(a473,f404(f314(f366(a460,x21264),x21265),x21266)),a7)))
% 40.48/40.63 [2128]~P2(f455(f446(x21284,f260(x21284,x21282,x21281,x21285,x21283,x21286)),f258(x21284,x21282,x21281,x21285,x21283,x21286)))+~P2(f352(f464(x21281),f291(f303(a473,f404(f314(f366(a460,x21285),x21283),x21286)),a7)))+P2(f352(f464(x21281),f291(f303(a473,f404(f314(f366(a460,x21282),x21283),x21284)),a7)))
% 40.48/40.63 [1247]~P3(x12471)+E(x12471,a4)+P3(f215(x12471))+~P2(f316(a268,x12471))
% 40.48/40.63 [1248]~P3(x12481)+E(x12481,a4)+P5(f219(x12481))+~P2(f316(a268,x12481))
% 40.48/40.63 [1249]~P4(x12491)+E(x12491,a5)+P3(f216(x12491))+~P2(f355(a271,x12491))
% 40.48/40.63 [1250]~P4(x12501)+E(x12501,a5)+P4(f205(x12501))+~P2(f355(a271,x12501))
% 40.48/40.63 [1303]~P3(x13031)+E(x13031,a4)+~P2(f316(a268,x13031))+P2(f316(a268,f215(x13031)))
% 40.48/40.63 [1304]~P4(x13041)+E(x13041,a5)+~P2(f355(a271,x13041))+P2(f355(a271,f205(x13041)))
% 40.48/40.63 [1321]~P3(x13211)+E(x13211,a4)+E(f367(f447(a472,f219(x13211)),f215(x13211)),x13211)+~P2(f316(a268,x13211))
% 40.48/40.63 [1322]~P4(x13221)+E(x13221,a5)+E(f368(f319(a474,f216(x13221)),f205(x13221)),x13221)+~P2(f355(a271,x13221))
% 40.48/40.63 [1749]~P2(a1)+~P2(a2)+~P2(f294(a527,x17491))+P2(f352(f464(a7),f291(f303(a473,f313(a466,x17491)),a7)))
% 40.48/40.63 [1238]~P5(x12382)+~P5(x12381)+E(x12381,x12382)+~E(f453(a9,x12381),f453(a9,x12382))
% 40.48/40.63 [1387]P2(f355(x13871,x13872))+P3(f206(x13871,x13872))+~P2(f355(x13871,a5))+~P2(f355(a271,x13872))
% 40.48/40.63 [1388]P2(f316(x13881,x13882))+P3(f208(x13881,x13882))+~P2(f316(x13881,a4))+~P2(f316(a268,x13882))
% 40.48/40.63 [1389]P2(f355(x13891,x13892))+P4(f209(x13891,x13892))+~P2(f355(x13891,a5))+~P2(f355(a271,x13892))
% 40.48/40.63 [1390]P2(f316(x13901,x13902))+P5(f210(x13901,x13902))+~P2(f316(x13901,a4))+~P2(f316(a268,x13902))
% 40.48/40.63 [1263]~P3(x12632)+~P3(x12631)+E(x12631,a4)+~E(f367(f318(a513,x12632),x12631),a4)
% 40.48/40.63 [1265]~P3(x12652)+~P3(x12651)+E(x12651,a4)+~E(f367(f318(a513,x12651),x12652),a4)
% 40.48/40.63 [1349]~P5(x13492)+~P5(x13491)+E(x13491,x13492)+~E(f367(f447(a472,x13491),a4),f367(f447(a472,x13492),a4))
% 40.48/40.63 [1360]~P3(x13602)+~P3(x13601)+E(x13601,x13602)+~P2(f316(f393(a275,x13601),x13602))
% 40.48/40.63 [1361]~P5(x13612)+~P5(x13611)+E(x13611,x13612)+~P2(f450(f442(a274,x13611),x13612))
% 40.48/40.63 [1455]P2(f316(x14551,x14552))+~P2(f316(x14551,a4))+~P2(f316(a268,x14552))+P2(f316(a268,f208(x14551,x14552)))
% 40.48/40.63 [1456]P2(f352(x14561,x14562))+~P2(f352(x14561,a7))+~P2(f352(a269,x14562))+P2(f352(a269,f213(x14561,x14562)))
% 40.48/40.63 [1457]P2(f355(x14571,x14572))+~P2(f355(x14571,a5))+~P2(f355(a271,x14572))+P2(f355(a271,f209(x14571,x14572)))
% 40.48/40.63 [1458]P2(f369(x14581,x14582))+~P2(f369(x14581,a10))+~P2(f369(a287,x14582))+P2(f369(a287,f211(x14581,x14582)))
% 40.48/40.63 [1463]P2(f316(x14631,x14632))+~P2(f316(x14631,a4))+~P2(f316(a268,x14632))+P2(f316(x14631,f208(x14631,x14632)))
% 40.48/40.63 [1464]P2(f352(x14641,x14642))+~P2(f352(x14641,a7))+~P2(f352(a269,x14642))+P2(f352(x14641,f213(x14641,x14642)))
% 40.48/40.63 [1465]P2(f355(x14651,x14652))+~P2(f355(x14651,a5))+~P2(f355(a271,x14652))+P2(f355(x14651,f209(x14651,x14652)))
% 40.48/40.63 [1466]P2(f369(x14661,x14662))+~P2(f369(x14661,a10))+~P2(f369(a287,x14662))+P2(f369(x14661,f211(x14661,x14662)))
% 40.48/40.63 [1836]P2(f316(x18361,x18362))+~P2(f316(x18361,a4))+~P2(f316(a268,x18362))+~P2(f316(f443(a488,f210(x18361,x18362)),f208(x18361,x18362)))
% 40.48/40.63 [1837]P2(f352(x18371,x18372))+~P2(f352(x18371,a7))+~P2(f352(a269,x18372))+~P2(f352(f300(a489,f214(x18371,x18372)),f213(x18371,x18372)))
% 40.48/40.63 [1838]P2(f355(x18381,x18382))+~P2(f355(x18381,a5))+~P2(f355(a271,x18382))+~P2(f355(f400(a490,f206(x18381,x18382)),f209(x18381,x18382)))
% 40.48/40.63 [1839]P2(f369(x18391,x18392))+~P2(f369(x18391,a10))+~P2(f369(a287,x18392))+~P2(f369(f324(a491,f212(x18391,x18392)),f211(x18391,x18392)))
% 40.48/40.63 [1689]~P5(x16892)+~P5(x16891)+E(x16891,x16892)+~P2(f316(f443(a488,x16891),f367(f447(a472,x16892),a4)))
% 40.48/40.63 [1726]~P3(x17261)+E(x17261,a4)+E(x17261,f367(f447(a472,x17262),a4))+~P2(f316(f393(a486,x17261),f367(f447(a472,x17262),a4)))
% 40.48/40.63 [1993]P2(f316(x19931,x19932))+~P2(f316(x19931,a4))+~P2(f316(a268,x19932))+~P2(f316(x19931,f367(f447(a472,f210(x19931,x19932)),f208(x19931,x19932))))
% 40.48/40.63 [1994]P2(f352(x19941,x19942))+~P2(f352(x19941,a7))+~P2(f352(a269,x19942))+~P2(f352(x19941,f291(f303(a473,f214(x19941,x19942)),f213(x19941,x19942))))
% 40.48/40.63 [1995]P2(f355(x19951,x19952))+~P2(f355(x19951,a5))+~P2(f355(a271,x19952))+~P2(f355(x19951,f368(f319(a474,f206(x19951,x19952)),f209(x19951,x19952))))
% 40.48/40.63 [1996]P2(f369(x19961,x19962))+~P2(f369(x19961,a10))+~P2(f369(a287,x19962))+~P2(f369(x19961,f292(f402(a485,f212(x19961,x19962)),f211(x19961,x19962))))
% 40.48/40.63 [1802]P5(f173(x18021,x18022))+~P2(a2)+~P2(f294(a527,x18021))+P2(f352(f464(x18022),f291(f303(a473,f313(a466,x18021)),a7)))
% 40.48/40.63 [1883]~P2(a2)+~P2(f294(a527,x18831))+P2(f316(f443(a488,f173(x18831,x18832)),f12(a6)))+P2(f352(f464(x18832),f291(f303(a473,f313(a466,x18831)),a7)))
% 40.48/40.63 [2076]~P2(a2)+~P2(f294(a527,x20762))+P2(f352(f464(x20761),f291(f303(a473,f313(a466,x20762)),a7)))+~P2(f352(f464(x20761),f291(f303(a473,f313(a466,f453(a9,f173(x20762,x20761)))),a7)))
% 40.48/40.63 [1549]E(x15491,x15492)+~E(f291(f303(a473,x15493),x15491),f291(f303(a473,x15493),x15492))+P2(f352(f300(a489,x15493),x15491))+P2(f352(f300(a489,x15493),x15492))
% 40.48/40.63 [1450]~E(x14501,x14503)+~P5(x14503)+~P5(x14501)+P2(f450(f367(f447(a472,x14501),x14502),x14503))
% 40.48/40.63 [1516]~P5(x15161)+~P5(x15163)+~P2(f450(x15162,x15163))+P2(f450(f367(f447(a472,x15161),x15162),x15163))
% 40.48/40.63 [1740]~P4(x17403)+P3(f197(x17401,x17402,x17403))+~P2(f355(a271,x17403))+~P2(f355(f399(a498,x17403),f393(f476(x17401),x17402)))
% 40.48/40.63 [1741]~P3(x17413)+P3(f204(x17411,x17412,x17413))+~P2(f316(a268,x17413))+~P2(f316(f393(a486,x17413),f367(f483(x17411),x17412)))
% 40.48/40.63 [1742]~P3(x17423)+P4(f198(x17421,x17422,x17423))+~P2(f316(a268,x17423))+~P2(f316(f393(a486,x17423),f412(f468(x17421),x17422)))
% 40.48/40.63 [1763]~P3(x17633)+E(f367(f483(x17631),f204(x17631,x17632,x17633)),x17633)+~P2(f316(a268,x17633))+~P2(f316(f393(a486,x17633),f367(f483(x17631),x17632)))
% 40.48/40.63 [1764]~P4(x17643)+E(f393(f476(x17641),f197(x17641,x17642,x17643)),x17643)+~P2(f355(a271,x17643))+~P2(f355(f399(a498,x17643),f393(f476(x17641),x17642)))
% 40.48/40.63 [1765]~P3(x17653)+E(f293(f463(x17651),f203(x17651,x17652,x17653)),x17653)+~P2(f316(a268,x17653))+~P2(f316(f393(a486,x17653),f293(f463(x17651),x17652)))
% 40.48/40.63 [1766]~P4(x17663)+E(f406(f469(x17661),f201(x17661,x17662,x17663)),x17663)+~P2(f355(a271,x17663))+~P2(f355(f399(a498,x17663),f406(f469(x17661),x17662)))
% 40.48/40.63 [1767]~P3(x17673)+E(f412(f468(x17671),f198(x17671,x17672,x17673)),x17673)+~P2(f316(a268,x17673))+~P2(f316(f393(a486,x17673),f412(f468(x17671),x17672)))
% 40.48/40.63 [1768]~P3(x17683)+E(f384(f475(x17681),f202(x17681,x17682,x17683)),x17683)+~P2(f316(a268,x17683))+~P2(f316(f393(a486,x17683),f384(f475(x17681),x17682)))
% 40.48/40.63 [1864]~P4(x18643)+~P2(f355(a271,x18643))+P2(f316(a268,f197(x18641,x18642,x18643)))+~P2(f355(f399(a498,x18643),f393(f476(x18641),x18642)))
% 40.48/40.63 [1865]~P3(x18653)+~P2(f316(a268,x18653))+P2(f316(a268,f204(x18651,x18652,x18653)))+~P2(f316(f393(a486,x18653),f367(f483(x18651),x18652)))
% 40.48/40.63 [1866]~P4(x18663)+~P2(f355(a271,x18663))+P2(f352(a269,f201(x18661,x18662,x18663)))+~P2(f355(f399(a498,x18663),f406(f469(x18661),x18662)))
% 40.48/40.63 [1867]~P3(x18673)+~P2(f316(a268,x18673))+P2(f352(a269,f203(x18671,x18672,x18673)))+~P2(f316(f393(a486,x18673),f293(f463(x18671),x18672)))
% 40.48/40.63 [1868]~P3(x18683)+~P2(f316(a268,x18683))+P2(f355(a271,f198(x18681,x18682,x18683)))+~P2(f316(f393(a486,x18683),f412(f468(x18681),x18682)))
% 40.48/40.63 [1869]~P3(x18693)+~P2(f316(a268,x18693))+P2(f369(a287,f202(x18691,x18692,x18693)))+~P2(f316(f393(a486,x18693),f384(f475(x18691),x18692)))
% 40.48/40.63 [1963]~P4(x19633)+~P2(f355(a271,x19633))+~P2(f355(f399(a498,x19633),f393(f476(x19631),x19632)))+P2(f316(f393(a486,f197(x19631,x19632,x19633)),x19632))
% 40.48/40.63 [1964]~P3(x19643)+~P2(f316(a268,x19643))+~P2(f316(f393(a486,x19643),f367(f483(x19641),x19642)))+P2(f316(f393(a486,f204(x19641,x19642,x19643)),x19642))
% 40.48/40.63 [1965]~P4(x19653)+~P2(f355(a271,x19653))+~P2(f355(f399(a498,x19653),f406(f469(x19651),x19652)))+P2(f352(f415(a487,f201(x19651,x19652,x19653)),x19652))
% 40.48/40.63 [1966]~P3(x19663)+~P2(f316(a268,x19663))+~P2(f316(f393(a486,x19663),f293(f463(x19661),x19662)))+P2(f352(f415(a487,f203(x19661,x19662,x19663)),x19662))
% 40.48/40.63 [1967]~P3(x19673)+~P2(f316(a268,x19673))+~P2(f316(f393(a486,x19673),f412(f468(x19671),x19672)))+P2(f355(f399(a498,f198(x19671,x19672,x19673)),x19672))
% 40.48/40.63 [1968]~P3(x19683)+~P2(f316(a268,x19683))+~P2(f316(f393(a486,x19683),f384(f475(x19681),x19682)))+P2(f369(f328(a497,f202(x19681,x19682,x19683)),x19682))
% 40.48/40.63 [1554]~P2(f288(x15541,x15543))+E(f452(f439(x15541,x15542),f321(x15543,x15544)),f321(x15543,x15544))+~P2(f316(a268,x15544))+~P2(f316(f443(a488,x15542),x15544))
% 40.48/40.63 [1555]~P2(f273(x15551,x15553))+E(f367(f318(x15551,x15552),f412(x15553,x15554)),f412(x15553,x15554))+~P2(f355(a271,x15554))+~P2(f355(f400(a490,x15552),x15554))
% 40.48/40.63 [1556]~P2(f290(x15561,x15563))+E(f291(f335(x15561,x15562),f421(x15563,x15564)),f421(x15563,x15564))+~P2(f369(a287,x15564))+~P2(f369(f324(a491,x15562),x15564))
% 40.48/40.63 [1557]~P2(f285(x15571,x15573))+E(f305(f304(x15571,x15572),f370(x15573,x15574)),f370(x15573,x15574))+~P2(f352(a269,x15574))+~P2(f352(f300(a489,x15572),x15574))
% 40.48/40.63 [1582]~E(x15821,x15822)+~E(f291(f335(a509,x15823),x15824),a7)+~P2(f352(f300(a489,x15822),x15824))+~P2(f352(f300(a489,x15821),x15823))
% 40.48/40.63 [1954]~E(f367(x19541,x19543),x19542)+P3(f160(x19541,x19542,x19543,x19544))+P2(f316(f393(a486,x19542),f367(x19541,x19544)))+~P2(f316(f393(a486,x19543),x19544))
% 40.48/40.63 [1955]~E(f367(x19551,x19553),x19552)+P3(f161(x19551,x19552,x19553,x19554))+P2(f316(f393(a486,x19552),f367(x19551,x19554)))+~P2(f316(f393(a486,x19553),x19554))
% 40.48/40.63 [2081]~E(f367(x20812,x20814),x20811)+~P2(f316(f393(a486,x20814),x20813))+P2(f316(f393(a486,f161(x20812,x20811,x20814,x20813)),f160(x20812,x20811,x20814,x20813)))+P2(f316(f393(a486,x20811),f367(x20812,x20813)))
% 40.48/40.63 [2082]~E(f291(x20822,x20824),x20821)+~P2(f352(f415(a487,x20824),x20823))+P2(f352(f415(a487,f162(x20822,x20821,x20824,x20823)),f163(x20822,x20821,x20824,x20823)))+P2(f352(f415(a487,x20821),f291(x20822,x20823)))
% 40.48/40.63 [1526]E(x15261,a7)+~P2(f285(x15264,x15262))+~P2(f352(a269,x15261))+E(f370(x15262,f291(f303(a473,x15263),x15261)),f305(f304(x15264,x15263),f370(x15262,x15261)))
% 40.48/40.63 [1527]E(x15271,a10)+~P2(f290(x15274,x15272))+~P2(f369(a287,x15271))+E(f421(x15272,f292(f402(a485,x15273),x15271)),f291(f335(x15274,x15273),f421(x15272,x15271)))
% 40.48/40.63 [1596]~P3(x15961)+~E(x15961,f293(f463(x15962),x15964))+~P2(f352(f415(a487,x15964),x15963))+P2(f316(f393(a486,x15961),f293(f463(x15962),x15963)))
% 40.48/40.63 [1597]~P3(x15974)+~E(x15971,f401(f470(x15972),x15974))+~P2(f316(f393(a486,x15974),x15973))+P2(f352(f415(a487,x15971),f401(f470(x15972),x15973)))
% 40.48/40.63 [1669]~P2(f283(x16694,x16691))+~P2(f369(a287,x16693))+E(f421(x16691,f292(f402(a485,x16692),x16693)),x16692)+~E(f292(f346(a496,x16693),f292(f402(a485,x16692),a10)),a10)
% 40.48/40.63 [1670]~P2(f286(x16704,x16701))+~P2(f352(a269,x16703))+E(f370(x16701,f291(f303(a473,x16702),x16703)),x16702)+~E(f291(f335(a494,x16703),f291(f303(a473,x16702),a7)),a7)
% 40.48/40.63 [1981]~E(x19812,f367(x19813,x19814))+P3(f154(x19811,x19812,x19813,x19814))+~P2(f316(f393(a486,x19811),x19814))+P2(f316(f393(a486,f367(x19813,x19811)),x19812))
% 40.48/40.63 [1982]~E(x19822,f367(x19823,x19824))+P3(f157(x19821,x19822,x19823,x19824))+~P2(f316(f393(a486,x19821),x19824))+P2(f316(f393(a486,f367(x19823,x19821)),x19822))
% 40.48/40.63 [1997]~P2(f295(x19971,x19974))+P2(f295(x19971,f248(x19971,x19972,x19973)))+P2(f295(x19971,f243(x19971,x19972,x19973)))+~P2(f352(f300(a489,x19974),f291(f335(a512,x19972),x19973)))
% 40.48/40.63 [2020]~P2(f295(x20201,x20204))+P2(f295(x20201,f243(x20201,x20202,x20203)))+P2(f352(f300(a489,f248(x20201,x20202,x20203)),x20203))+~P2(f352(f300(a489,x20204),f291(f335(a512,x20202),x20203)))
% 40.48/40.63 [2021]~P2(f295(x20211,x20214))+P2(f295(x20211,f248(x20211,x20212,x20213)))+P2(f352(f300(a489,f243(x20211,x20212,x20213)),x20212))+~P2(f352(f300(a489,x20214),f291(f335(a512,x20212),x20213)))
% 40.48/40.63 [2022]P2(f295(x20221,x20222))+~P2(f295(x20221,f245(x20221,x20223,x20224)))+~P2(f295(x20221,f244(x20221,x20223,x20224)))+~P2(f352(f300(a489,x20222),f291(f335(a512,x20223),x20224)))
% 40.48/40.63 [2023]P2(f295(x20231,x20232))+~P2(f295(x20231,f245(x20231,x20233,x20234)))+P2(f352(f300(a489,f244(x20231,x20233,x20234)),x20233))+~P2(f352(f300(a489,x20232),f291(f335(a512,x20233),x20234)))
% 40.48/40.63 [2024]P2(f295(x20241,x20242))+~P2(f295(x20241,f244(x20241,x20243,x20244)))+P2(f352(f300(a489,f245(x20241,x20243,x20244)),x20244))+~P2(f352(f300(a489,x20242),f291(f335(a512,x20243),x20244)))
% 40.48/40.63 [2034]P2(f295(x20341,x20342))+P2(f352(f300(a489,f245(x20341,x20343,x20344)),x20344))+P2(f352(f300(a489,f244(x20341,x20343,x20344)),x20343))+~P2(f352(f300(a489,x20342),f291(f335(a512,x20343),x20344)))
% 40.48/40.63 [2037]~P2(f295(x20371,x20374))+P2(f352(f300(a489,f248(x20371,x20372,x20373)),x20373))+P2(f352(f300(a489,f243(x20371,x20372,x20373)),x20372))+~P2(f352(f300(a489,x20374),f291(f335(a512,x20372),x20373)))
% 40.48/40.63 [2083]~E(x20833,f367(x20831,x20834))+~P2(f316(f393(a486,x20832),x20834))+P2(f316(f393(a486,f157(x20832,x20833,x20831,x20834)),f154(x20832,x20833,x20831,x20834)))+P2(f316(f393(a486,f367(x20831,x20832)),x20833))
% 40.48/40.63 [2084]~E(x20843,f291(x20841,x20844))+~P2(f352(f415(a487,x20842),x20844))+P2(f352(f415(a487,f158(x20842,x20843,x20841,x20844)),f159(x20842,x20843,x20841,x20844)))+P2(f352(f415(a487,f291(x20841,x20842)),x20843))
% 40.48/40.63 [2111]~E(f367(x21112,x21114),x21111)+~P2(f316(f393(a486,x21114),x21113))+P2(f316(f393(a486,x21111),f367(x21112,x21113)))+~P2(f316(f393(a486,f367(x21112,f161(x21112,x21111,x21114,x21113))),f367(x21112,f160(x21112,x21111,x21114,x21113))))
% 40.48/40.63 [2112]~E(f291(x21122,x21124),x21121)+~P2(f352(f415(a487,x21124),x21123))+P2(f352(f415(a487,x21121),f291(x21122,x21123)))+~P2(f352(f415(a487,f291(x21122,f162(x21122,x21121,x21124,x21123))),f291(x21122,f163(x21122,x21121,x21124,x21123))))
% 40.48/40.63 [2113]~E(x21133,f367(x21131,x21134))+~P2(f316(f393(a486,x21132),x21134))+~P2(f316(f393(a486,f367(x21131,f157(x21132,x21133,x21131,x21134))),f367(x21131,f154(x21132,x21133,x21131,x21134))))+P2(f316(f393(a486,f367(x21131,x21132)),x21133))
% 40.48/40.63 [2114]~E(x21143,f291(x21141,x21144))+~P2(f352(f415(a487,x21142),x21144))+~P2(f352(f415(a487,f291(x21141,f158(x21142,x21143,x21141,x21144))),f291(x21141,f159(x21142,x21143,x21141,x21144))))+P2(f352(f415(a487,f291(x21141,x21142)),x21143))
% 40.48/40.63 [1948]~P2(f286(x19483,x19484))+~P2(f352(a269,x19481))+E(f291(f335(a494,x19481),f291(f303(a473,x19482),a7)),a7)+E(f305(f304(x19483,x19482),f370(x19484,f291(f335(a494,x19481),f291(f303(a473,x19482),a7)))),f370(x19484,f291(f303(a473,x19482),x19481)))
% 40.48/40.63 [1949]~P2(f283(x19493,x19494))+~P2(f369(a287,x19491))+E(f292(f346(a496,x19491),f292(f402(a485,x19492),a10)),a10)+E(f291(f335(x19493,x19492),f421(x19494,f292(f346(a496,x19491),f292(f402(a485,x19492),a10)))),f421(x19494,f292(f402(a485,x19492),x19491)))
% 40.48/40.63 [2010]~P2(f455(x20101,x20103))+~P2(f455(f446(f97(x20102),x20103),x20105))+~P2(f455(f446(f97(f528(x20101,x20102)),x20105),x20104))+P2(f455(f446(f97(f528(x20101,x20102)),x20103),x20104))
% 40.48/40.63 [2125]~P2(f455(f446(x21256,x21252),f259(x21253,x21254,x21255,x21256,x21257,x21251)))+P2(f455(f446(x21251,x21252),f258(x21253,x21254,x21255,x21256,x21257,x21251)))+P2(f352(f464(x21255),f291(f303(a473,f404(f314(f366(a460,x21254),x21257),x21253)),a7)))+~P2(f352(f464(x21255),f291(f303(a473,f404(f314(f366(a460,x21256),x21257),x21251)),a7)))
% 40.48/40.63 [2127]P5(f251(x21271,x21272,x21273,x21274,x21275,x21276,x21277))+~P2(f316(a268,x21277))+P2(f352(f464(x21273),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21271)),x21275)),x21272)),x21277)))+~P2(f352(f464(x21273),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21274)),x21275)),x21276)),x21277)))
% 40.48/40.63 [2132]~P2(f316(a268,x21325))+P2(f352(f464(x21321),f291(f303(a473,f404(f314(f366(a460,f440(x21326,f251(x21322,x21324,x21321,x21326,x21323,x21327,x21325))),f453(x21323,f251(x21322,x21324,x21321,x21326,x21323,x21327,x21325))),f440(x21327,f251(x21322,x21324,x21321,x21326,x21323,x21327,x21325)))),a7)))+~P2(f352(f464(x21321),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21326)),x21323)),x21327)),x21325)))+P2(f352(f464(x21321),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21322)),x21323)),x21324)),x21325)))
% 40.48/40.63 [2133]~P2(f316(a268,x21335))+~P2(f352(f464(x21331),f291(f303(a473,f404(f314(f366(a460,f440(x21332,f251(x21332,x21334,x21331,x21336,x21333,x21337,x21335))),f453(x21333,f251(x21332,x21334,x21331,x21336,x21333,x21337,x21335))),f440(x21334,f251(x21332,x21334,x21331,x21336,x21333,x21337,x21335)))),a7)))+P2(f352(f464(x21331),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21332)),x21333)),x21334)),x21335)))+~P2(f352(f464(x21331),f401(f470(f329(f391(a87,f380(f360(a89,f429(f44(a460),x21336)),x21333)),x21337)),x21335)))
% 40.48/40.63 [1240]~P3(x12402)+~P3(x12401)+~E(x12402,a4)+~E(x12401,a4)+E(f367(f318(a513,x12401),x12402),a4)
% 40.48/40.63 [1538]~P3(x15382)+~P3(x15381)+E(x15381,x15382)+~P2(f316(f393(a486,x15382),x15381))+~P2(f316(f393(a486,x15381),x15382))
% 40.48/40.63 [1909]E(x19091,a7)+~E(f105(x19092,x19091),a7)+P2(f352(x19092,x19091))+~P2(f352(a269,x19091))+~P2(f352(x19092,f291(f303(a473,f106(x19092,x19091)),a7)))
% 40.48/40.63 [1910]E(x19101,a10)+~E(f111(x19102,x19101),a10)+P2(f369(x19102,x19101))+~P2(f369(a287,x19101))+~P2(f369(x19102,f292(f402(a485,f110(x19102,x19101)),a10)))
% 40.48/40.63 [1930]E(x19301,a7)+P2(f352(x19302,x19301))+~P2(f352(a269,x19301))+P2(f352(a269,f105(x19302,x19301)))+~P2(f352(x19302,f291(f303(a473,f106(x19302,x19301)),a7)))
% 40.48/40.63 [1931]E(x19311,a10)+P2(f369(x19312,x19311))+~P2(f369(a287,x19311))+P2(f369(a287,f111(x19312,x19311)))+~P2(f369(x19312,f292(f402(a485,f110(x19312,x19311)),a10)))
% 40.48/40.63 [1940]E(x19401,a7)+P2(f352(x19402,x19401))+~P2(f352(a269,x19401))+P2(f352(x19402,f105(x19402,x19401)))+~P2(f352(x19402,f291(f303(a473,f106(x19402,x19401)),a7)))
% 40.48/40.63 [1941]E(x19411,a10)+P2(f369(x19412,x19411))+~P2(f369(a287,x19411))+P2(f369(x19412,f111(x19412,x19411)))+~P2(f369(x19412,f292(f402(a485,f110(x19412,x19411)),a10)))
% 40.48/40.63 [2011]E(x20111,a7)+P2(f352(x20112,x20111))+~P2(f352(a269,x20111))+~P2(f352(f300(a489,f107(x20112,x20111)),f105(x20112,x20111)))+~P2(f352(x20112,f291(f303(a473,f106(x20112,x20111)),a7)))
% 40.48/40.63 [2012]E(x20121,a10)+P2(f369(x20122,x20121))+~P2(f369(a287,x20121))+~P2(f369(f324(a491,f112(x20122,x20121)),f111(x20122,x20121)))+~P2(f369(x20122,f292(f402(a485,f110(x20122,x20121)),a10)))
% 40.48/40.63 [2038]E(x20381,a7)+P2(f352(x20382,x20381))+~P2(f352(a269,x20381))+~P2(f352(x20382,f291(f303(a473,f107(x20382,x20381)),f105(x20382,x20381))))+~P2(f352(x20382,f291(f303(a473,f106(x20382,x20381)),a7)))
% 40.48/40.63 [2039]E(x20391,a10)+P2(f369(x20392,x20391))+~P2(f369(a287,x20391))+~P2(f369(x20392,f292(f402(a485,f112(x20392,x20391)),f111(x20392,x20391))))+~P2(f369(x20392,f292(f402(a485,f110(x20392,x20391)),a10)))
% 40.48/40.63 [1672]P2(f316(x16721,x16722))+P3(f185(x16721,x16723,x16722))+~P2(f316(x16721,a4))+~P2(f316(a268,x16722))+~P2(f316(f393(a486,x16722),x16723))
% 40.48/40.63 [1673]P2(f316(x16731,x16732))+P5(f186(x16731,x16733,x16732))+~P2(f316(x16731,a4))+~P2(f316(a268,x16732))+~P2(f316(f393(a486,x16732),x16733))
% 40.48/40.63 [1674]P2(f355(x16741,x16742))+P3(f167(x16741,x16743,x16742))+~P2(f355(x16741,a5))+~P2(f355(a271,x16742))+~P2(f355(f399(a498,x16742),x16743))
% 40.48/40.63 [1675]P2(f355(x16751,x16752))+P4(f187(x16751,x16753,x16752))+~P2(f355(x16751,a5))+~P2(f355(a271,x16752))+~P2(f355(f399(a498,x16752),x16753))
% 40.48/40.63 [1820]P2(f316(x18201,x18202))+~P2(f316(x18201,a4))+~P2(f316(a268,x18202))+~P2(f316(f393(a486,x18202),x18203))+P2(f316(a268,f185(x18201,x18203,x18202)))
% 40.48/40.63 [1821]P2(f352(x18211,x18212))+~P2(f352(x18211,a7))+~P2(f352(a269,x18212))+~P2(f352(f415(a487,x18212),x18213))+P2(f352(a269,f190(x18211,x18213,x18212)))
% 40.48/40.63 [1822]P2(f355(x18221,x18222))+~P2(f355(x18221,a5))+~P2(f355(a271,x18222))+~P2(f355(f399(a498,x18222),x18223))+P2(f355(a271,f187(x18221,x18223,x18222)))
% 40.48/40.63 [1823]P2(f369(x18231,x18232))+~P2(f369(x18231,a10))+~P2(f369(a287,x18232))+~P2(f369(f328(a497,x18232),x18233))+P2(f369(a287,f188(x18231,x18233,x18232)))
% 40.48/40.63 [1832]P2(f316(x18321,x18322))+~P2(f316(x18321,a4))+~P2(f316(a268,x18322))+P2(f316(x18321,f185(x18321,x18323,x18322)))+~P2(f316(f393(a486,x18322),x18323))
% 40.48/40.63 [1833]P2(f352(x18331,x18332))+~P2(f352(x18331,a7))+~P2(f352(a269,x18332))+P2(f352(x18331,f190(x18331,x18333,x18332)))+~P2(f352(f415(a487,x18332),x18333))
% 40.48/40.63 [1834]P2(f355(x18341,x18342))+~P2(f355(x18341,a5))+~P2(f355(a271,x18342))+P2(f355(x18341,f187(x18341,x18343,x18342)))+~P2(f355(f399(a498,x18342),x18343))
% 40.48/40.63 [1835]P2(f369(x18351,x18352))+~P2(f369(x18351,a10))+~P2(f369(a287,x18352))+P2(f369(x18351,f188(x18351,x18353,x18352)))+~P2(f369(f328(a497,x18352),x18353))
% 40.48/40.63 [2030]P2(f316(x20301,x20302))+~P2(f316(x20301,a4))+~P2(f316(a268,x20302))+~P2(f316(f443(a488,f186(x20301,x20303,x20302)),f185(x20301,x20303,x20302)))+~P2(f316(f393(a486,x20302),x20303))
% 40.48/40.63 [2031]P2(f352(x20311,x20312))+~P2(f352(x20311,a7))+~P2(f352(a269,x20312))+~P2(f352(f300(a489,f191(x20311,x20313,x20312)),f190(x20311,x20313,x20312)))+~P2(f352(f415(a487,x20312),x20313))
% 40.48/40.63 [2032]P2(f355(x20321,x20322))+~P2(f355(x20321,a5))+~P2(f355(a271,x20322))+~P2(f355(f400(a490,f167(x20321,x20323,x20322)),f187(x20321,x20323,x20322)))+~P2(f355(f399(a498,x20322),x20323))
% 40.48/40.63 [2033]P2(f369(x20331,x20332))+~P2(f369(x20331,a10))+~P2(f369(a287,x20332))+~P2(f369(f324(a491,f189(x20331,x20333,x20332)),f188(x20331,x20333,x20332)))+~P2(f369(f328(a497,x20332),x20333))
% 40.48/40.63 [1613]~P5(x16132)+~P5(x16131)+E(x16131,x16132)+P2(f450(x16133,x16132))+~P2(f450(f367(f447(a472,x16131),x16133),x16132))
% 40.48/40.63 [1801]~P5(x18012)+~P5(x18011)+E(x18011,x18012)+P2(f316(f443(a488,x18011),x18013))+~P2(f316(f443(a488,x18011),f367(f447(a472,x18012),x18013)))
% 40.48/40.63 [1923]P2(f316(x19231,x19232))+~P2(f316(x19231,a4))+~P2(f316(a268,x19232))+~P2(f316(f393(a486,x19232),x19233))+P2(f316(f443(a488,f186(x19231,x19233,x19232)),x19233))
% 40.48/40.63 [1924]P2(f352(x19241,x19242))+~P2(f352(x19241,a7))+~P2(f352(a269,x19242))+~P2(f352(f415(a487,x19242),x19243))+P2(f352(f300(a489,f191(x19241,x19243,x19242)),x19243))
% 40.48/40.63 [1925]P2(f355(x19251,x19252))+~P2(f355(x19251,a5))+~P2(f355(a271,x19252))+~P2(f355(f399(a498,x19252),x19253))+P2(f355(f400(a490,f167(x19251,x19253,x19252)),x19253))
% 40.48/40.63 [1926]P2(f369(x19261,x19262))+~P2(f369(x19261,a10))+~P2(f369(a287,x19262))+~P2(f369(f328(a497,x19262),x19263))+P2(f369(f324(a491,f189(x19261,x19263,x19262)),x19263))
% 40.48/40.63 [2069]P2(f316(x20691,x20692))+~P2(f316(x20691,a4))+~P2(f316(a268,x20692))+~P2(f316(f393(a486,x20692),x20693))+~P2(f316(x20691,f367(f447(a472,f186(x20691,x20693,x20692)),f185(x20691,x20693,x20692))))
% 40.48/40.63 [2070]P2(f352(x20701,x20702))+~P2(f352(x20701,a7))+~P2(f352(a269,x20702))+~P2(f352(f415(a487,x20702),x20703))+~P2(f352(x20701,f291(f303(a473,f191(x20701,x20703,x20702)),f190(x20701,x20703,x20702))))
% 40.48/40.63 [2071]P2(f355(x20711,x20712))+~P2(f355(x20711,a5))+~P2(f355(a271,x20712))+~P2(f355(f399(a498,x20712),x20713))+~P2(f355(x20711,f368(f319(a474,f167(x20711,x20713,x20712)),f187(x20711,x20713,x20712))))
% 40.48/40.63 [2072]P2(f369(x20721,x20722))+~P2(f369(x20721,a10))+~P2(f369(a287,x20722))+~P2(f369(f328(a497,x20722),x20723))+~P2(f369(x20721,f292(f402(a485,f189(x20721,x20723,x20722)),f188(x20721,x20723,x20722))))
% 40.48/40.63 [2103]E(x21031,a7)+~P2(f286(x21033,x21032))+~P2(f352(a269,x21031))+P2(f352(f300(a489,f370(x21032,x21031)),x21031))+~P2(f352(f300(a489,f305(f304(x21033,f124(x21031,x21033,x21032)),f125(x21031,x21033,x21032))),f291(f303(a473,f124(x21031,x21033,x21032)),f291(f303(a473,f125(x21031,x21033,x21032)),a7))))
% 40.48/40.63 [2104]E(x21041,a10)+~P2(f283(x21043,x21042))+~P2(f369(a287,x21041))+P2(f369(f324(a491,f421(x21042,x21041)),x21041))+~P2(f369(f324(a491,f291(f335(x21043,f127(x21041,x21043,x21042)),f128(x21041,x21043,x21042))),f292(f402(a485,f127(x21041,x21043,x21042)),f292(f402(a485,f128(x21041,x21043,x21042)),a10))))
% 40.48/40.63 [1667]E(x16671,a7)+~P2(f285(x16672,x16673))+E(f305(f304(x16672,f370(x16673,x16671)),f370(x16673,x16674)),f370(x16673,x16674))+~P2(f352(a269,x16674))+~P2(f352(f415(a487,x16671),x16674))
% 40.48/40.63 [1668]E(x16681,a10)+~P2(f290(x16682,x16683))+E(f291(f335(x16682,f421(x16683,x16681)),f421(x16683,x16684)),f421(x16683,x16684))+~P2(f369(a287,x16684))+~P2(f369(f328(a497,x16681),x16684))
% 40.48/40.63 [1529]~P3(x15291)+E(x15291,a4)+~P2(f288(x15294,x15292))+~P2(f316(a268,x15291))+E(f321(x15292,f367(f447(a472,x15293),x15291)),f452(f439(x15294,x15293),f321(x15292,x15291)))
% 40.48/40.63 [1530]~P4(x15301)+E(x15301,a5)+~P2(f273(x15304,x15302))+~P2(f355(a271,x15301))+E(f412(x15302,f368(f319(a474,x15303),x15301)),f367(f318(x15304,x15303),f412(x15302,x15301)))
% 40.48/40.63 [1614]E(x16141,a7)+~P2(f286(x16144,x16142))+~P2(f352(a269,x16141))+E(f370(x16142,f291(f303(a473,x16143),x16141)),f305(f304(x16144,x16143),f370(x16142,x16141)))+P2(f352(f300(a489,x16143),x16141))
% 40.48/40.63 [1615]E(x16151,a10)+~P2(f283(x16154,x16152))+~P2(f369(a287,x16151))+E(f421(x16152,f292(f402(a485,x16153),x16151)),f291(f335(x16154,x16153),f421(x16152,x16151)))+P2(f369(f324(a491,x16153),x16151))
% 40.48/40.63 [1686]~P5(x16862)+~P2(f272(x16864,x16861))+~P2(f316(a268,x16863))+E(f321(x16861,f367(f447(a472,x16862),x16863)),x16862)+~E(f367(f318(a493,x16863),f367(f447(a472,x16862),a4)),a4)
% 40.48/40.63 [1687]~P3(x16872)+~P2(f282(x16874,x16871))+~P2(f355(a271,x16873))+E(f412(x16871,f368(f319(a474,x16872),x16873)),x16872)+~E(f368(f382(a495,x16873),f368(f319(a474,x16872),a5)),a5)
% 40.48/40.63 [1731]E(f421(x17311,x17312),x17313)+~P2(f283(x17314,x17311))+~P2(f369(a287,x17312))+~P2(f369(f324(a491,x17313),x17312))+~E(f292(f346(a496,x17312),f292(f402(a485,x17313),a10)),a10)
% 40.48/40.63 [1732]E(f370(x17321,x17322),x17323)+~P2(f286(x17324,x17321))+~P2(f352(a269,x17322))+~P2(f352(f300(a489,x17323),x17322))+~E(f291(f335(a494,x17322),f291(f303(a473,x17323),a7)),a7)
% 40.48/40.63 [2107]E(x21071,a7)+~P2(f285(x21074,x21072))+~P2(f352(a269,x21071))+~E(f305(f304(x21074,f305(x21073,f119(x21071,x21073,x21074,x21072))),f305(x21073,f120(x21071,x21073,x21074,x21072))),f305(x21073,f305(f304(x21074,f119(x21071,x21073,x21074,x21072)),f120(x21071,x21073,x21074,x21072))))+E(f370(x21072,f291(f482(x21073),x21071)),f305(x21073,f370(x21072,x21071)))
% 40.48/40.63 [2108]E(x21081,a10)+~P2(f290(x21084,x21082))+~P2(f369(a287,x21081))+~E(f291(f335(x21084,f291(x21083,f116(x21081,x21083,x21084,x21082))),f291(x21083,f117(x21081,x21083,x21084,x21082))),f291(x21083,f291(f335(x21084,f116(x21081,x21083,x21084,x21082)),f117(x21081,x21083,x21084,x21082))))+E(f421(x21082,f292(f479(x21083),x21081)),f291(x21083,f421(x21082,x21081)))
% 40.48/40.63 [1985]~P2(f272(x19853,x19854))+~P2(f316(a268,x19852))+~P2(f316(a268,x19851))+E(f367(f318(a504,x19851),x19852),a4)+E(f452(f439(x19853,f321(x19854,f367(f318(a513,x19851),x19852))),f321(x19854,f367(f318(a504,x19851),x19852))),f452(f439(x19853,f321(x19854,x19851)),f321(x19854,x19852)))
% 40.48/40.63 [1986]~P2(f282(x19863,x19864))+~P2(f355(a271,x19862))+~P2(f355(a271,x19861))+E(f368(f382(a505,x19861),x19862),a5)+E(f367(f318(x19863,f412(x19864,f368(f382(a510,x19861),x19862))),f412(x19864,f368(f382(a505,x19861),x19862))),f367(f318(x19863,f412(x19864,x19861)),f412(x19864,x19862)))
% 40.48/40.63 [1987]~P2(f286(x19873,x19874))+~P2(f352(a269,x19872))+~P2(f352(a269,x19871))+E(f291(f335(a509,x19871),x19872),a7)+E(f305(f304(x19873,f370(x19874,f291(f335(a512,x19871),x19872))),f370(x19874,f291(f335(a509,x19871),x19872))),f305(f304(x19873,f370(x19874,x19871)),f370(x19874,x19872)))
% 40.48/40.63 [1988]~P2(f283(x19883,x19884))+~P2(f369(a287,x19882))+~P2(f369(a287,x19881))+E(f292(f346(a507,x19881),x19882),a10)+E(f291(f335(x19883,f421(x19884,f292(f346(a511,x19881),x19882))),f421(x19884,f292(f346(a507,x19881),x19882))),f291(f335(x19883,f421(x19884,x19881)),f421(x19884,x19882)))
% 40.48/40.63 [1956]~P5(x19562)+~P2(f272(x19563,x19564))+~P2(f316(a268,x19561))+E(f367(f318(a493,x19561),f367(f447(a472,x19562),a4)),a4)+E(f452(f439(x19563,x19562),f321(x19564,f367(f318(a493,x19561),f367(f447(a472,x19562),a4)))),f321(x19564,f367(f447(a472,x19562),x19561)))
% 40.48/40.63 [1957]~P3(x19572)+~P2(f282(x19573,x19574))+~P2(f355(a271,x19571))+E(f368(f382(a495,x19571),f368(f319(a474,x19572),a5)),a5)+E(f367(f318(x19573,x19572),f412(x19574,f368(f382(a495,x19571),f368(f319(a474,x19572),a5)))),f412(x19574,f368(f319(a474,x19572),x19571)))
% 40.48/40.63 [1975]~P2(f286(x19753,x19754))+~P2(f352(a269,x19751))+~P2(f352(f300(a489,x19752),x19751))+E(f291(f335(a494,x19751),f291(f303(a473,x19752),a7)),a7)+E(f305(f304(x19753,x19752),f370(x19754,f291(f335(a494,x19751),f291(f303(a473,x19752),a7)))),f370(x19754,x19751))
% 40.48/40.63 [1976]~P2(f283(x19763,x19764))+~P2(f369(a287,x19761))+~P2(f369(f324(a491,x19762),x19761))+E(f292(f346(a496,x19761),f292(f402(a485,x19762),a10)),a10)+E(f291(f335(x19763,x19762),f421(x19764,f292(f346(a496,x19761),f292(f402(a485,x19762),a10)))),f421(x19764,x19761))
% 40.48/40.63 [1355]~P3(x13551)+E(x13551,a4)+P2(f316(x13552,x13551))+~E(f102(x13552,x13551),a4)+P5(f101(x13552,x13551))+~P2(f316(a268,x13551))
% 40.48/40.63 [1356]~P4(x13561)+E(x13561,a5)+P2(f355(x13562,x13561))+~E(f108(x13562,x13561),a5)+P3(f104(x13562,x13561))+~P2(f355(a271,x13561))
% 40.48/40.63 [1372]~P3(x13721)+E(x13721,a4)+P5(f101(x13722,x13721))+P2(f316(x13722,x13721))+P3(f102(x13722,x13721))+~P2(f316(a268,x13721))
% 40.48/40.63 [1373]~P3(x13731)+E(x13731,a4)+P5(f103(x13732,x13731))+P2(f316(x13732,x13731))+P5(f101(x13732,x13731))+~P2(f316(a268,x13731))
% 40.48/40.63 [1374]~P4(x13741)+E(x13741,a5)+P3(f109(x13742,x13741))+P2(f355(x13742,x13741))+P3(f104(x13742,x13741))+~P2(f355(a271,x13741))
% 40.48/40.63 [1375]~P4(x13751)+E(x13751,a5)+P4(f108(x13752,x13751))+P2(f355(x13752,x13751))+P3(f104(x13752,x13751))+~P2(f355(a271,x13751))
% 40.48/40.63 [1451]~P3(x14511)+E(x14511,a4)+P2(f316(x14512,x14511))+P5(f101(x14512,x14511))+~P2(f316(a268,x14511))+P2(f316(a268,f102(x14512,x14511)))
% 40.48/40.63 [1452]~P4(x14521)+E(x14521,a5)+P2(f355(x14522,x14521))+P3(f104(x14522,x14521))+~P2(f355(a271,x14521))+P2(f355(a271,f108(x14522,x14521)))
% 40.48/40.63 [1453]~P3(x14531)+E(x14531,a4)+P2(f316(x14532,x14531))+P5(f101(x14532,x14531))+~P2(f316(a268,x14531))+P2(f316(x14532,f102(x14532,x14531)))
% 40.48/40.63 [1454]~P4(x14541)+E(x14541,a5)+P2(f355(x14542,x14541))+P3(f104(x14542,x14541))+~P2(f355(a271,x14541))+P2(f355(x14542,f108(x14542,x14541)))
% 40.48/40.63 [1818]~P3(x18181)+E(x18181,a4)+P2(f316(x18182,x18181))+P5(f101(x18182,x18181))+~P2(f316(a268,x18181))+~P2(f316(f443(a488,f103(x18182,x18181)),f102(x18182,x18181)))
% 40.48/40.63 [1819]~P4(x18191)+E(x18191,a5)+P2(f355(x18192,x18191))+P3(f104(x18192,x18191))+~P2(f355(a271,x18191))+~P2(f355(f400(a490,f109(x18192,x18191)),f108(x18192,x18191)))
% 40.48/40.63 [1991]~P3(x19911)+E(x19911,a4)+P2(f316(x19912,x19911))+P5(f101(x19912,x19911))+~P2(f316(a268,x19911))+~P2(f316(x19912,f367(f447(a472,f103(x19912,x19911)),f102(x19912,x19911))))
% 40.48/40.63 [1992]~P4(x19921)+E(x19921,a5)+P2(f355(x19922,x19921))+P3(f104(x19922,x19921))+~P2(f355(a271,x19921))+~P2(f355(x19922,f368(f319(a474,f109(x19922,x19921)),f108(x19922,x19921))))
% 40.48/40.63 [1915]~P3(x19151)+E(x19151,a4)+~E(f102(x19152,x19151),a4)+P2(f316(x19152,x19151))+~P2(f316(a268,x19151))+~P2(f316(x19152,f367(f447(a472,f101(x19152,x19151)),a4)))
% 40.48/40.63 [1916]~P4(x19161)+E(x19161,a5)+~E(f108(x19162,x19161),a5)+P2(f355(x19162,x19161))+~P2(f355(a271,x19161))+~P2(f355(x19162,f368(f319(a474,f104(x19162,x19161)),a5)))
% 40.48/40.63 [1917]~P3(x19171)+E(x19171,a4)+P2(f316(x19172,x19171))+P3(f102(x19172,x19171))+~P2(f316(a268,x19171))+~P2(f316(x19172,f367(f447(a472,f101(x19172,x19171)),a4)))
% 40.48/40.63 [1918]~P3(x19181)+E(x19181,a4)+P2(f316(x19182,x19181))+P5(f103(x19182,x19181))+~P2(f316(a268,x19181))+~P2(f316(x19182,f367(f447(a472,f101(x19182,x19181)),a4)))
% 40.48/40.63 [1919]~P4(x19191)+E(x19191,a5)+P2(f355(x19192,x19191))+P3(f109(x19192,x19191))+~P2(f355(a271,x19191))+~P2(f355(x19192,f368(f319(a474,f104(x19192,x19191)),a5)))
% 40.48/40.63 [1920]~P4(x19201)+E(x19201,a5)+P2(f355(x19202,x19201))+P4(f108(x19202,x19201))+~P2(f355(a271,x19201))+~P2(f355(x19202,f368(f319(a474,f104(x19202,x19201)),a5)))
% 40.48/40.63 [1944]~P3(x19441)+E(x19441,a4)+P2(f316(x19442,x19441))+~P2(f316(a268,x19441))+P2(f316(a268,f102(x19442,x19441)))+~P2(f316(x19442,f367(f447(a472,f101(x19442,x19441)),a4)))
% 40.48/40.63 [1945]~P4(x19451)+E(x19451,a5)+P2(f355(x19452,x19451))+~P2(f355(a271,x19451))+P2(f355(a271,f108(x19452,x19451)))+~P2(f355(x19452,f368(f319(a474,f104(x19452,x19451)),a5)))
% 40.48/40.63 [1946]~P3(x19461)+E(x19461,a4)+P2(f316(x19462,x19461))+~P2(f316(a268,x19461))+P2(f316(x19462,f102(x19462,x19461)))+~P2(f316(x19462,f367(f447(a472,f101(x19462,x19461)),a4)))
% 40.48/40.63 [1947]~P4(x19471)+E(x19471,a5)+P2(f355(x19472,x19471))+~P2(f355(a271,x19471))+P2(f355(x19472,f108(x19472,x19471)))+~P2(f355(x19472,f368(f319(a474,f104(x19472,x19471)),a5)))
% 40.48/40.63 [2013]~P3(x20131)+E(x20131,a4)+P2(f316(x20132,x20131))+~P2(f316(a268,x20131))+~P2(f316(f443(a488,f103(x20132,x20131)),f102(x20132,x20131)))+~P2(f316(x20132,f367(f447(a472,f101(x20132,x20131)),a4)))
% 40.48/40.63 [2014]~P4(x20141)+E(x20141,a5)+P2(f355(x20142,x20141))+~P2(f355(a271,x20141))+~P2(f355(f400(a490,f109(x20142,x20141)),f108(x20142,x20141)))+~P2(f355(x20142,f368(f319(a474,f104(x20142,x20141)),a5)))
% 40.48/40.63 [2040]~P3(x20401)+E(x20401,a4)+P2(f316(x20402,x20401))+~P2(f316(a268,x20401))+~P2(f316(x20402,f367(f447(a472,f103(x20402,x20401)),f102(x20402,x20401))))+~P2(f316(x20402,f367(f447(a472,f101(x20402,x20401)),a4)))
% 40.48/40.63 [2041]~P4(x20411)+E(x20411,a5)+P2(f355(x20412,x20411))+~P2(f355(a271,x20411))+~P2(f355(x20412,f368(f319(a474,f109(x20412,x20411)),f108(x20412,x20411))))+~P2(f355(x20412,f368(f319(a474,f104(x20412,x20411)),a5)))
% 40.48/40.63 [1398]~P3(x13981)+~P3(x13983)+~P5(x13982)+~E(x13981,f367(f447(a472,x13982),x13983))+~P2(f316(a268,x13983))+P2(f316(a268,x13981))
% 40.48/40.63 [1399]~P3(x13992)+~P4(x13991)+~P4(x13993)+~E(x13991,f368(f319(a474,x13992),x13993))+~P2(f355(a271,x13993))+P2(f355(a271,x13991))
% 40.48/40.63 [1416]~P3(x14163)+~P3(x14162)+~P5(x14161)+~E(x14163,a4)+~E(x14163,f367(f447(a472,x14161),x14162))+P2(f316(f443(a488,x14161),x14162))
% 40.48/40.63 [1553]~P3(x15532)+~P3(x15531)+E(x15531,x15532)+~E(f367(f447(a472,x15533),x15531),f367(f447(a472,x15533),x15532))+P2(f316(f443(a488,x15533),x15531))+P2(f316(f443(a488,x15533),x15532))
% 40.48/40.63 [1727]~P3(x17271)+E(x17271,a4)+~P2(f272(x17272,x17273))+P5(f121(x17271,x17272,x17273))+~P2(f316(a268,x17271))+P2(f316(f443(a488,f321(x17273,x17271)),x17271))
% 40.48/40.63 [1728]~P3(x17281)+E(x17281,a4)+~P2(f272(x17282,x17283))+P5(f122(x17281,x17282,x17283))+~P2(f316(a268,x17281))+P2(f316(f443(a488,f321(x17283,x17281)),x17281))
% 40.48/40.63 [1729]~P4(x17291)+E(x17291,a5)+~P2(f282(x17292,x17293))+P3(f123(x17291,x17292,x17293))+~P2(f355(a271,x17291))+P2(f355(f400(a490,f412(x17293,x17291)),x17291))
% 40.48/40.63 [1730]~P4(x17301)+E(x17301,a5)+~P2(f282(x17302,x17303))+P3(f126(x17301,x17302,x17303))+~P2(f355(a271,x17301))+P2(f355(f400(a490,f412(x17303,x17301)),x17301))
% 40.48/40.63 [2105]~P3(x21051)+E(x21051,a4)+~P2(f272(x21053,x21052))+~P2(f316(a268,x21051))+P2(f316(f443(a488,f321(x21052,x21051)),x21051))+~P2(f316(f443(a488,f452(f439(x21053,f121(x21051,x21053,x21052)),f122(x21051,x21053,x21052))),f367(f447(a472,f121(x21051,x21053,x21052)),f367(f447(a472,f122(x21051,x21053,x21052)),a4))))
% 40.48/40.63 [2106]~P4(x21061)+E(x21061,a5)+~P2(f282(x21063,x21062))+~P2(f355(a271,x21061))+P2(f355(f400(a490,f412(x21062,x21061)),x21061))+~P2(f355(f400(a490,f367(f318(x21063,f123(x21061,x21063,x21062)),f126(x21061,x21063,x21062))),f368(f319(a474,f123(x21061,x21063,x21062)),f368(f319(a474,f126(x21061,x21063,x21062)),a5))))
% 40.48/40.63 [1612]~P5(x16122)+~P5(x16121)+~E(x16121,x16122)+~E(f367(f318(a504,x16123),x16124),a4)+~P2(f316(f443(a488,x16122),x16124))+~P2(f316(f443(a488,x16121),x16123))
% 40.48/40.63 [1679]~P3(x16791)+E(x16791,a4)+~P2(f288(x16792,x16793))+E(f452(f439(x16792,f321(x16793,x16791)),f321(x16793,x16794)),f321(x16793,x16794))+~P2(f316(a268,x16794))+~P2(f316(f393(a486,x16791),x16794))
% 40.48/40.63 [1680]~P4(x16801)+E(x16801,a5)+~P2(f273(x16802,x16803))+E(f367(f318(x16802,f412(x16803,x16801)),f412(x16803,x16804)),f412(x16803,x16804))+~P2(f355(a271,x16804))+~P2(f355(f399(a498,x16801),x16804))
% 40.48/40.63 [1619]~P3(x16191)+E(x16191,a4)+~P2(f272(x16194,x16192))+~P2(f316(a268,x16191))+E(f321(x16192,f367(f447(a472,x16193),x16191)),f452(f439(x16194,x16193),f321(x16192,x16191)))+P2(f316(f443(a488,x16193),x16191))
% 40.48/40.63 [1620]~P4(x16201)+E(x16201,a5)+~P2(f282(x16204,x16202))+~P2(f355(a271,x16201))+E(f412(x16202,f368(f319(a474,x16203),x16201)),f367(f318(x16204,x16203),f412(x16202,x16201)))+P2(f355(f400(a490,x16203),x16201))
% 40.48/40.63 [1661]E(x16611,a7)+E(x16612,a7)+~P2(f285(x16613,x16614))+~P2(f352(a269,x16611))+~P2(f352(a269,x16612))+E(f305(f304(x16613,f370(x16614,x16612)),f370(x16614,x16611)),f370(x16614,f291(f335(a512,x16612),x16611)))
% 40.48/40.63 [1662]E(x16621,a10)+E(x16622,a10)+~P2(f290(x16623,x16624))+~P2(f369(a287,x16621))+~P2(f369(a287,x16622))+E(f291(f335(x16623,f421(x16624,x16622)),f421(x16624,x16621)),f421(x16624,f292(f346(a511,x16622),x16621)))
% 40.48/40.63 [1738]~P5(x17383)+E(f321(x17381,x17382),x17383)+~P2(f272(x17384,x17381))+~P2(f316(a268,x17382))+~P2(f316(f443(a488,x17383),x17382))+~E(f367(f318(a493,x17382),f367(f447(a472,x17383),a4)),a4)
% 40.48/40.63 [1739]~P3(x17393)+E(f412(x17391,x17392),x17393)+~P2(f282(x17394,x17391))+~P2(f355(a271,x17392))+~P2(f355(f400(a490,x17393),x17392))+~E(f368(f382(a495,x17392),f368(f319(a474,x17393),a5)),a5)
% 40.48/40.63 [1911]~P3(x19111)+E(x19111,a4)+~P2(f288(x19114,x19112))+P5(f113(x19111,x19113,x19114,x19112))+~P2(f316(a268,x19111))+E(f321(x19112,f367(f483(x19113),x19111)),f452(x19113,f321(x19112,x19111)))
% 40.48/40.63 [1912]~P3(x19121)+E(x19121,a4)+~P2(f288(x19124,x19122))+P5(f118(x19121,x19123,x19124,x19122))+~P2(f316(a268,x19121))+E(f321(x19122,f367(f483(x19123),x19121)),f452(x19123,f321(x19122,x19121)))
% 40.48/40.63 [1913]~P4(x19131)+E(x19131,a5)+~P2(f273(x19134,x19132))+P3(f114(x19131,x19133,x19134,x19132))+~P2(f355(a271,x19131))+E(f412(x19132,f368(f471(x19133),x19131)),f367(x19133,f412(x19132,x19131)))
% 40.48/40.63 [1914]~P4(x19141)+E(x19141,a5)+~P2(f273(x19144,x19142))+P3(f115(x19141,x19143,x19144,x19142))+~P2(f355(a271,x19141))+E(f412(x19142,f368(f471(x19143),x19141)),f367(x19143,f412(x19142,x19141)))
% 40.48/40.63 [2109]~P3(x21091)+E(x21091,a4)+~P2(f288(x21094,x21092))+~P2(f316(a268,x21091))+~E(f452(f439(x21094,f452(x21093,f113(x21091,x21093,x21094,x21092))),f452(x21093,f118(x21091,x21093,x21094,x21092))),f452(x21093,f452(f439(x21094,f113(x21091,x21093,x21094,x21092)),f118(x21091,x21093,x21094,x21092))))+E(f321(x21092,f367(f483(x21093),x21091)),f452(x21093,f321(x21092,x21091)))
% 40.48/40.63 [2110]~P4(x21101)+E(x21101,a5)+~P2(f273(x21104,x21102))+~P2(f355(a271,x21101))+~E(f367(f318(x21104,f367(x21103,f114(x21101,x21103,x21104,x21102))),f367(x21103,f115(x21101,x21103,x21104,x21102))),f367(x21103,f367(f318(x21104,f114(x21101,x21103,x21104,x21102)),f115(x21101,x21103,x21104,x21102))))+E(f412(x21102,f368(f471(x21103),x21101)),f367(x21103,f412(x21102,x21101)))
% 40.48/40.63 [1983]~P5(x19832)+~P2(f272(x19833,x19834))+~P2(f316(a268,x19831))+~P2(f316(f443(a488,x19832),x19831))+E(f367(f318(a493,x19831),f367(f447(a472,x19832),a4)),a4)+E(f452(f439(x19833,x19832),f321(x19834,f367(f318(a493,x19831),f367(f447(a472,x19832),a4)))),f321(x19834,x19831))
% 40.48/40.63 [1984]~P3(x19842)+~P2(f282(x19843,x19844))+~P2(f355(a271,x19841))+~P2(f355(f400(a490,x19842),x19841))+E(f368(f382(a495,x19841),f368(f319(a474,x19842),a5)),a5)+E(f367(f318(x19843,x19842),f412(x19844,f368(f382(a495,x19841),f368(f319(a474,x19842),a5)))),f412(x19844,x19841))
% 40.48/40.63 [1528]~E(x15282,x15283)+~E(x15281,x15284)+~P5(x15283)+~P5(x15282)+~P5(x15284)+~P5(x15281)+E(f367(f447(a472,x15281),f367(f447(a472,x15282),a4)),f367(f447(a472,x15283),f367(f447(a472,x15284),a4)))
% 40.48/40.63 [1698]~P5(x16984)+~P5(x16982)+~P5(x16981)+~P5(x16983)+E(x16981,x16982)+E(x16983,x16981)+~E(f367(f447(a472,x16981),f367(f447(a472,x16984),a4)),f367(f447(a472,x16982),f367(f447(a472,x16983),a4)))
% 40.48/40.63 [1699]~P5(x16994)+~P5(x16992)+~P5(x16991)+~P5(x16993)+E(x16991,x16992)+E(x16993,x16991)+~E(f367(f447(a472,x16993),f367(f447(a472,x16992),a4)),f367(f447(a472,x16994),f367(f447(a472,x16991),a4)))
% 40.48/40.63 [1700]~P5(x17004)+~P5(x17002)+~P5(x17003)+~P5(x17001)+E(x17001,x17002)+E(x17001,x17003)+~E(f367(f447(a472,x17003),f367(f447(a472,x17002),a4)),f367(f447(a472,x17004),f367(f447(a472,x17001),a4)))
% 40.48/40.63 [1701]~P5(x17014)+~P5(x17012)+~P5(x17013)+~P5(x17011)+E(x17011,x17012)+E(x17011,x17013)+~E(f367(f447(a472,x17011),f367(f447(a472,x17014),a4)),f367(f447(a472,x17012),f367(f447(a472,x17013),a4)))
% 40.48/40.63 [1736]E(x17361,a7)+E(x17362,a7)+~P2(f286(x17363,x17364))+~P2(f352(a269,x17361))+~P2(f352(a269,x17362))+E(f305(f304(x17363,f370(x17364,x17362)),f370(x17364,x17361)),f370(x17364,f291(f335(a512,x17362),x17361)))+~E(f291(f335(a509,x17362),x17361),a7)
% 40.48/40.63 [1737]E(x17371,a10)+E(x17372,a10)+~P2(f283(x17373,x17374))+~P2(f369(a287,x17371))+~P2(f369(a287,x17372))+E(f291(f335(x17373,f421(x17374,x17372)),f421(x17374,x17371)),f421(x17374,f292(f346(a511,x17372),x17371)))+~E(f292(f346(a507,x17372),x17371),a10)
% 40.48/40.63 [1691]~P3(x16911)+~P3(x16912)+E(x16911,a4)+E(x16912,a4)+~P2(f288(x16913,x16914))+~P2(f316(a268,x16911))+~P2(f316(a268,x16912))+E(f452(f439(x16913,f321(x16914,x16911)),f321(x16914,x16912)),f321(x16914,f367(f318(a513,x16911),x16912)))
% 40.48/40.63 [1692]~P4(x16921)+~P4(x16922)+E(x16921,a5)+E(x16922,a5)+~P2(f273(x16923,x16924))+~P2(f355(a271,x16921))+~P2(f355(a271,x16922))+E(f367(f318(x16923,f412(x16924,x16921)),f412(x16924,x16922)),f412(x16924,f368(f382(a510,x16921),x16922)))
% 40.48/40.63 [1757]~P3(x17571)+~P3(x17572)+E(x17571,a4)+E(x17572,a4)+~P2(f272(x17573,x17574))+~P2(f316(a268,x17571))+~P2(f316(a268,x17572))+E(f452(f439(x17573,f321(x17574,x17571)),f321(x17574,x17572)),f321(x17574,f367(f318(a513,x17571),x17572)))+~E(f367(f318(a504,x17571),x17572),a4)
% 40.48/40.63 [1758]~P4(x17581)+~P4(x17582)+E(x17581,a5)+E(x17582,a5)+~P2(f282(x17583,x17584))+~P2(f355(a271,x17581))+~P2(f355(a271,x17582))+E(f367(f318(x17583,f412(x17584,x17581)),f412(x17584,x17582)),f412(x17584,f368(f382(a510,x17581),x17582)))+~E(f368(f382(a505,x17581),x17582),a5)
% 40.48/40.63 %EqnAxiom
% 40.48/40.63 [1]E(x11,x11)
% 40.48/40.63 [2]E(x22,x21)+~E(x21,x22)
% 40.48/40.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 40.48/40.63 [4]~E(x41,x42)+E(f501(x41),f501(x42))
% 40.48/40.63 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 40.48/40.63 [6]~E(x61,x62)+E(f291(x61,x63),f291(x62,x63))
% 40.48/40.63 [7]~E(x71,x72)+E(f291(x73,x71),f291(x73,x72))
% 40.48/40.63 [8]~E(x81,x82)+E(f292(x81,x83),f292(x82,x83))
% 40.48/40.63 [9]~E(x91,x92)+E(f292(x93,x91),f292(x93,x92))
% 40.48/40.63 [10]~E(x101,x102)+E(f425(x101,x103),f425(x102,x103))
% 40.48/40.63 [11]~E(x111,x112)+E(f425(x113,x111),f425(x113,x112))
% 40.48/40.63 [12]~E(x121,x122)+E(f502(x121),f502(x122))
% 40.48/40.63 [13]~E(x131,x132)+E(f15(x131),f15(x132))
% 40.48/40.63 [14]~E(x141,x142)+E(f367(x141,x143),f367(x142,x143))
% 40.48/40.63 [15]~E(x151,x152)+E(f367(x153,x151),f367(x153,x152))
% 40.48/40.63 [16]~E(x161,x162)+E(f16(x161),f16(x162))
% 40.48/40.63 [17]~E(x171,x172)+E(f368(x171,x173),f368(x172,x173))
% 40.48/40.63 [18]~E(x181,x182)+E(f368(x183,x181),f368(x183,x182))
% 40.48/40.63 [19]~E(x191,x192)+E(f17(x191),f17(x192))
% 40.48/40.63 [20]~E(x201,x202)+E(f464(x201),f464(x202))
% 40.48/40.63 [21]~E(x211,x212)+E(f78(x211),f78(x212))
% 40.48/40.63 [22]~E(x221,x222)+E(f302(x221,x223),f302(x222,x223))
% 40.48/40.63 [23]~E(x231,x232)+E(f302(x233,x231),f302(x233,x232))
% 40.48/40.63 [24]~E(x241,x242)+E(f463(x241),f463(x242))
% 40.48/40.63 [25]~E(x251,x252)+E(f293(x251,x253),f293(x252,x253))
% 40.48/40.63 [26]~E(x261,x262)+E(f293(x263,x261),f293(x263,x262))
% 40.48/40.63 [27]~E(x271,x272)+E(f470(x271),f470(x272))
% 40.48/40.63 [28]~E(x281,x282)+E(f401(x281,x283),f401(x282,x283))
% 40.48/40.63 [29]~E(x291,x292)+E(f401(x293,x291),f401(x293,x292))
% 40.48/40.63 [30]~E(x301,x302)+E(f442(x301,x303),f442(x302,x303))
% 40.48/40.63 [31]~E(x311,x312)+E(f442(x313,x311),f442(x313,x312))
% 40.48/40.63 [32]~E(x321,x322)+E(f426(x321,x323),f426(x322,x323))
% 40.48/40.63 [33]~E(x331,x332)+E(f426(x333,x331),f426(x333,x332))
% 40.48/40.63 [34]~E(x341,x342)+E(f79(x341),f79(x342))
% 40.48/40.63 [35]~E(x351,x352)+E(f435(x351,x353),f435(x352,x353))
% 40.48/40.63 [36]~E(x361,x362)+E(f435(x363,x361),f435(x363,x362))
% 40.48/40.63 [37]~E(x371,x372)+E(f80(x371),f80(x372))
% 40.48/40.63 [38]~E(x381,x382)+E(f446(x381,x383),f446(x382,x383))
% 40.48/40.63 [39]~E(x391,x392)+E(f446(x393,x391),f446(x393,x392))
% 40.48/40.63 [40]~E(x401,x402)+E(f294(x401,x403),f294(x402,x403))
% 40.48/40.63 [41]~E(x411,x412)+E(f294(x413,x411),f294(x413,x412))
% 40.48/40.63 [42]~E(x421,x422)+E(f316(x421,x423),f316(x422,x423))
% 40.48/40.63 [43]~E(x431,x432)+E(f316(x433,x431),f316(x433,x432))
% 40.48/40.63 [44]~E(x441,x442)+E(f352(x441,x443),f352(x442,x443))
% 40.48/40.63 [45]~E(x451,x452)+E(f352(x453,x451),f352(x453,x452))
% 40.48/40.63 [46]~E(x461,x462)+E(f355(x461,x463),f355(x462,x463))
% 40.48/40.63 [47]~E(x471,x472)+E(f355(x473,x471),f355(x473,x472))
% 40.48/40.63 [48]~E(x481,x482)+E(f405(x481,x483),f405(x482,x483))
% 40.48/40.63 [49]~E(x491,x492)+E(f405(x493,x491),f405(x493,x492))
% 40.48/40.63 [50]~E(x501,x502)+E(f369(x501,x503),f369(x502,x503))
% 40.48/40.63 [51]~E(x511,x512)+E(f369(x513,x511),f369(x513,x512))
% 40.48/40.63 [52]~E(x521,x522)+E(f272(x521,x523),f272(x522,x523))
% 40.48/40.63 [53]~E(x531,x532)+E(f272(x533,x531),f272(x533,x532))
% 40.48/40.63 [54]~E(x541,x542)+E(f286(x541,x543),f286(x542,x543))
% 40.48/40.63 [55]~E(x551,x552)+E(f286(x553,x551),f286(x553,x552))
% 40.48/40.63 [56]~E(x561,x562)+E(f282(x561,x563),f282(x562,x563))
% 40.48/40.63 [57]~E(x571,x572)+E(f282(x573,x571),f282(x573,x572))
% 40.48/40.63 [58]~E(x581,x582)+E(f283(x581,x583),f283(x582,x583))
% 40.48/40.63 [59]~E(x591,x592)+E(f283(x593,x591),f283(x593,x592))
% 40.48/40.63 [60]~E(x601,x602)+E(f288(x601,x603),f288(x602,x603))
% 40.48/40.63 [61]~E(x611,x612)+E(f288(x613,x611),f288(x613,x612))
% 40.48/40.63 [62]~E(x621,x622)+E(f285(x621,x623),f285(x622,x623))
% 40.48/40.63 [63]~E(x631,x632)+E(f285(x633,x631),f285(x633,x632))
% 40.48/40.63 [64]~E(x641,x642)+E(f273(x641,x643),f273(x642,x643))
% 40.48/40.63 [65]~E(x651,x652)+E(f273(x653,x651),f273(x653,x652))
% 40.48/40.63 [66]~E(x661,x662)+E(f290(x661,x663),f290(x662,x663))
% 40.48/40.63 [67]~E(x671,x672)+E(f290(x673,x671),f290(x673,x672))
% 40.48/40.63 [68]~E(x681,x682)+E(f304(x681,x683),f304(x682,x683))
% 40.48/40.63 [69]~E(x691,x692)+E(f304(x693,x691),f304(x693,x692))
% 40.48/40.63 [70]~E(x701,x702)+E(f455(x701,x703),f455(x702,x703))
% 40.48/40.63 [71]~E(x711,x712)+E(f455(x713,x711),f455(x713,x712))
% 40.48/40.63 [72]~E(x721,x722)+E(f295(x721,x723),f295(x722,x723))
% 40.48/40.63 [73]~E(x731,x732)+E(f295(x733,x731),f295(x733,x732))
% 40.48/40.63 [74]~E(x741,x742)+E(f427(x741,x743),f427(x742,x743))
% 40.48/40.63 [75]~E(x751,x752)+E(f427(x753,x751),f427(x753,x752))
% 40.48/40.63 [76]~E(x761,x762)+E(f383(x761,x763),f383(x762,x763))
% 40.48/40.63 [77]~E(x771,x772)+E(f383(x773,x771),f383(x773,x772))
% 40.48/40.63 [78]~E(x781,x782)+E(f109(x781,x783),f109(x782,x783))
% 40.48/40.63 [79]~E(x791,x792)+E(f109(x793,x791),f109(x793,x792))
% 40.48/40.63 [80]~E(x801,x802)+E(f335(x801,x803),f335(x802,x803))
% 40.48/40.63 [81]~E(x811,x812)+E(f335(x813,x811),f335(x813,x812))
% 40.48/40.63 [82]~E(x821,x822)+E(f389(x821,x823),f389(x822,x823))
% 40.48/40.63 [83]~E(x831,x832)+E(f389(x833,x831),f389(x833,x832))
% 40.48/40.63 [84]~E(x841,x842)+E(f356(x841,x843),f356(x842,x843))
% 40.48/40.63 [85]~E(x851,x852)+E(f356(x853,x851),f356(x853,x852))
% 40.48/40.63 [86]~E(x861,x862)+E(f296(x861,x863),f296(x862,x863))
% 40.48/40.63 [87]~E(x871,x872)+E(f296(x873,x871),f296(x873,x872))
% 40.48/40.63 [88]~E(x881,x882)+E(f392(x881,x883),f392(x882,x883))
% 40.48/40.63 [89]~E(x891,x892)+E(f392(x893,x891),f392(x893,x892))
% 40.48/40.63 [90]~E(x901,x902)+E(f303(x901,x903),f303(x902,x903))
% 40.48/40.63 [91]~E(x911,x912)+E(f303(x913,x911),f303(x913,x912))
% 40.48/40.63 [92]~E(x921,x922)+E(f384(x921,x923),f384(x922,x923))
% 40.48/40.63 [93]~E(x931,x932)+E(f384(x933,x931),f384(x933,x932))
% 40.48/40.63 [94]~E(x941,x942)+E(f300(x941,x943),f300(x942,x943))
% 40.48/40.63 [95]~E(x951,x952)+E(f300(x953,x951),f300(x953,x952))
% 40.48/40.63 [96]~E(x961,x962)+E(f406(x961,x963),f406(x962,x963))
% 40.48/40.63 [97]~E(x971,x972)+E(f406(x973,x971),f406(x973,x972))
% 40.48/40.63 [98]~E(x981,x982)+E(f297(x981,x983),f297(x982,x983))
% 40.48/40.63 [99]~E(x991,x992)+E(f297(x993,x991),f297(x993,x992))
% 40.48/40.63 [100]~E(x1001,x1002)+E(f317(x1001,x1003),f317(x1002,x1003))
% 40.48/40.63 [101]~E(x1011,x1012)+E(f317(x1013,x1011),f317(x1013,x1012))
% 40.48/40.63 [102]~E(x1021,x1022)+E(f338(x1021,x1023),f338(x1022,x1023))
% 40.48/40.63 [103]~E(x1031,x1032)+E(f338(x1033,x1031),f338(x1033,x1032))
% 40.48/40.63 [104]~E(x1041,x1042)+E(f305(x1041,x1043),f305(x1042,x1043))
% 40.48/40.63 [105]~E(x1051,x1052)+E(f305(x1053,x1051),f305(x1053,x1052))
% 40.48/40.63 [106]~E(x1061,x1062)+E(f318(x1061,x1063),f318(x1062,x1063))
% 40.48/40.63 [107]~E(x1071,x1072)+E(f318(x1073,x1071),f318(x1073,x1072))
% 40.48/40.63 [108]~E(x1081,x1082)+E(f393(x1081,x1083),f393(x1082,x1083))
% 40.48/40.63 [109]~E(x1091,x1092)+E(f393(x1093,x1091),f393(x1093,x1092))
% 40.48/40.63 [110]~E(x1101,x1102)+E(f175(x1101,x1103,x1104,x1105),f175(x1102,x1103,x1104,x1105))
% 40.48/40.63 [111]~E(x1111,x1112)+E(f175(x1113,x1111,x1114,x1115),f175(x1113,x1112,x1114,x1115))
% 40.48/40.63 [112]~E(x1121,x1122)+E(f175(x1123,x1124,x1121,x1125),f175(x1123,x1124,x1122,x1125))
% 40.48/40.63 [113]~E(x1131,x1132)+E(f175(x1133,x1134,x1135,x1131),f175(x1133,x1134,x1135,x1132))
% 40.48/40.63 [114]~E(x1141,x1142)+E(f373(x1141,x1143),f373(x1142,x1143))
% 40.48/40.63 [115]~E(x1151,x1152)+E(f373(x1153,x1151),f373(x1153,x1152))
% 40.48/40.63 [116]~E(x1161,x1162)+E(f126(x1161,x1163,x1164),f126(x1162,x1163,x1164))
% 40.48/40.63 [117]~E(x1171,x1172)+E(f126(x1173,x1171,x1174),f126(x1173,x1172,x1174))
% 40.48/40.63 [118]~E(x1181,x1182)+E(f126(x1183,x1184,x1181),f126(x1183,x1184,x1182))
% 40.48/40.63 [119]~E(x1191,x1192)+E(f447(x1191,x1193),f447(x1192,x1193))
% 40.48/40.63 [120]~E(x1201,x1202)+E(f447(x1203,x1201),f447(x1203,x1202))
% 40.48/40.63 [121]~E(x1211,x1212)+E(f450(x1211,x1213),f450(x1212,x1213))
% 40.48/40.63 [122]~E(x1221,x1222)+E(f450(x1223,x1221),f450(x1223,x1222))
% 40.48/40.63 [123]~E(x1231,x1232)+E(f361(x1231,x1233),f361(x1232,x1233))
% 40.48/40.63 [124]~E(x1241,x1242)+E(f361(x1243,x1241),f361(x1243,x1242))
% 40.48/40.63 [125]~E(x1251,x1252)+E(f312(x1251,x1253),f312(x1252,x1253))
% 40.48/40.63 [126]~E(x1261,x1262)+E(f312(x1263,x1261),f312(x1263,x1262))
% 40.48/40.63 [127]~E(x1271,x1272)+E(f341(x1271,x1273),f341(x1272,x1273))
% 40.48/40.63 [128]~E(x1281,x1282)+E(f341(x1283,x1281),f341(x1283,x1282))
% 40.48/40.63 [129]~E(x1291,x1292)+E(f41(x1291),f41(x1292))
% 40.48/40.63 [130]~E(x1301,x1302)+E(f329(x1301,x1303),f329(x1302,x1303))
% 40.48/40.63 [131]~E(x1311,x1312)+E(f329(x1313,x1311),f329(x1313,x1312))
% 40.48/40.63 [132]~E(x1321,x1322)+E(f443(x1321,x1323),f443(x1322,x1323))
% 40.48/40.63 [133]~E(x1331,x1332)+E(f443(x1333,x1331),f443(x1333,x1332))
% 40.48/40.63 [134]~E(x1341,x1342)+E(f415(x1341,x1343),f415(x1342,x1343))
% 40.48/40.63 [135]~E(x1351,x1352)+E(f415(x1353,x1351),f415(x1353,x1352))
% 40.48/40.63 [136]~E(x1361,x1362)+E(f167(x1361,x1363,x1364),f167(x1362,x1363,x1364))
% 40.48/40.63 [137]~E(x1371,x1372)+E(f167(x1373,x1371,x1374),f167(x1373,x1372,x1374))
% 40.48/40.63 [138]~E(x1381,x1382)+E(f167(x1383,x1384,x1381),f167(x1383,x1384,x1382))
% 40.48/40.63 [139]~E(x1391,x1392)+E(f404(x1391,x1393),f404(x1392,x1393))
% 40.48/40.63 [140]~E(x1401,x1402)+E(f404(x1403,x1401),f404(x1403,x1402))
% 40.48/40.63 [141]~E(x1411,x1412)+E(f400(x1411,x1413),f400(x1412,x1413))
% 40.48/40.63 [142]~E(x1421,x1422)+E(f400(x1423,x1421),f400(x1423,x1422))
% 40.48/40.63 [143]~E(x1431,x1432)+E(f391(x1431,x1433),f391(x1432,x1433))
% 40.48/40.63 [144]~E(x1441,x1442)+E(f391(x1443,x1441),f391(x1443,x1442))
% 40.48/40.63 [145]~E(x1451,x1452)+E(f412(x1451,x1453),f412(x1452,x1453))
% 40.48/40.63 [146]~E(x1461,x1462)+E(f412(x1463,x1461),f412(x1463,x1462))
% 40.48/40.63 [147]~E(x1471,x1472)+E(f380(x1471,x1473),f380(x1472,x1473))
% 40.48/40.63 [148]~E(x1481,x1482)+E(f380(x1483,x1481),f380(x1483,x1482))
% 40.48/40.63 [149]~E(x1491,x1492)+E(f123(x1491,x1493,x1494),f123(x1492,x1493,x1494))
% 40.48/40.63 [150]~E(x1501,x1502)+E(f123(x1503,x1501,x1504),f123(x1503,x1502,x1504))
% 40.48/40.63 [151]~E(x1511,x1512)+E(f123(x1513,x1514,x1511),f123(x1513,x1514,x1512))
% 40.48/40.63 [152]~E(x1521,x1522)+E(f360(x1521,x1523),f360(x1522,x1523))
% 40.48/40.63 [153]~E(x1531,x1532)+E(f360(x1533,x1531),f360(x1533,x1532))
% 40.48/40.63 [154]~E(x1541,x1542)+E(f475(x1541),f475(x1542))
% 40.48/40.63 [155]~E(x1551,x1552)+E(f429(x1551,x1553),f429(x1552,x1553))
% 40.48/40.63 [156]~E(x1561,x1562)+E(f429(x1563,x1561),f429(x1563,x1562))
% 40.48/40.63 [157]~E(x1571,x1572)+E(f111(x1571,x1573),f111(x1572,x1573))
% 40.48/40.63 [158]~E(x1581,x1582)+E(f111(x1583,x1581),f111(x1583,x1582))
% 40.48/40.63 [159]~E(x1591,x1592)+E(f44(x1591),f44(x1592))
% 40.48/40.63 [160]~E(x1601,x1602)+E(f104(x1601,x1603),f104(x1602,x1603))
% 40.48/40.63 [161]~E(x1611,x1612)+E(f104(x1613,x1611),f104(x1613,x1612))
% 40.48/40.63 [162]~E(x1621,x1622)+E(f370(x1621,x1623),f370(x1622,x1623))
% 40.48/40.63 [163]~E(x1631,x1632)+E(f370(x1633,x1631),f370(x1633,x1632))
% 40.48/40.63 [164]~E(x1641,x1642)+E(f37(x1641),f37(x1642))
% 40.48/40.63 [165]~E(x1651,x1652)+E(f191(x1651,x1653,x1654),f191(x1652,x1653,x1654))
% 40.48/40.63 [166]~E(x1661,x1662)+E(f191(x1663,x1661,x1664),f191(x1663,x1662,x1664))
% 40.48/40.63 [167]~E(x1671,x1672)+E(f191(x1673,x1674,x1671),f191(x1673,x1674,x1672))
% 40.48/40.63 [168]~E(x1681,x1682)+E(f185(x1681,x1683,x1684),f185(x1682,x1683,x1684))
% 40.48/40.63 [169]~E(x1691,x1692)+E(f185(x1693,x1691,x1694),f185(x1693,x1692,x1694))
% 40.48/40.63 [170]~E(x1701,x1702)+E(f185(x1703,x1704,x1701),f185(x1703,x1704,x1702))
% 40.48/40.63 [171]~E(x1711,x1712)+E(f101(x1711,x1713),f101(x1712,x1713))
% 40.48/40.63 [172]~E(x1721,x1722)+E(f101(x1723,x1721),f101(x1723,x1722))
% 40.48/40.63 [173]~E(x1731,x1732)+E(f476(x1731),f476(x1732))
% 40.48/40.63 [174]~E(x1741,x1742)+E(f314(x1741,x1743),f314(x1742,x1743))
% 40.48/40.63 [175]~E(x1751,x1752)+E(f314(x1753,x1751),f314(x1753,x1752))
% 40.48/40.63 [176]~E(x1761,x1762)+E(f519(x1761),f519(x1762))
% 40.48/40.63 [177]~E(x1771,x1772)+E(f514(x1771),f514(x1772))
% 40.48/40.63 [178]~E(x1781,x1782)+E(f168(x1781,x1783,x1784),f168(x1782,x1783,x1784))
% 40.48/40.63 [179]~E(x1791,x1792)+E(f168(x1793,x1791,x1794),f168(x1793,x1792,x1794))
% 40.48/40.63 [180]~E(x1801,x1802)+E(f168(x1803,x1804,x1801),f168(x1803,x1804,x1802))
% 40.48/40.63 [181]~E(x1811,x1812)+E(f480(x1811),f480(x1812))
% 40.48/40.63 [182]~E(x1821,x1822)+E(f517(x1821),f517(x1822))
% 40.48/40.63 [183]~E(x1831,x1832)+E(f515(x1831),f515(x1832))
% 40.48/40.63 [184]~E(x1841,x1842)+E(f306(x1841,x1843),f306(x1842,x1843))
% 40.48/40.63 [185]~E(x1851,x1852)+E(f306(x1853,x1851),f306(x1853,x1852))
% 40.48/40.63 [186]~E(x1861,x1862)+E(f347(x1861,x1863),f347(x1862,x1863))
% 40.48/40.63 [187]~E(x1871,x1872)+E(f347(x1873,x1871),f347(x1873,x1872))
% 40.48/40.63 [188]~E(x1881,x1882)+E(f452(x1881,x1883),f452(x1882,x1883))
% 40.48/40.63 [189]~E(x1891,x1892)+E(f452(x1893,x1891),f452(x1893,x1892))
% 40.48/40.63 [190]~E(x1901,x1902)+E(f516(x1901),f516(x1902))
% 40.48/40.63 [191]~E(x1911,x1912)+E(f298(x1911,x1913),f298(x1912,x1913))
% 40.48/40.63 [192]~E(x1921,x1922)+E(f298(x1923,x1921),f298(x1923,x1922))
% 40.48/40.63 [193]~E(x1931,x1932)+E(f521(x1931),f521(x1932))
% 40.48/40.63 [194]~E(x1941,x1942)+E(f148(x1941,x1943),f148(x1942,x1943))
% 40.48/40.63 [195]~E(x1951,x1952)+E(f148(x1953,x1951),f148(x1953,x1952))
% 40.48/40.63 [196]~E(x1961,x1962)+E(f321(x1961,x1963),f321(x1962,x1963))
% 40.48/40.63 [197]~E(x1971,x1972)+E(f321(x1973,x1971),f321(x1973,x1972))
% 40.48/40.63 [198]~E(x1981,x1982)+E(f364(x1981,x1983),f364(x1982,x1983))
% 40.48/40.63 [199]~E(x1991,x1992)+E(f364(x1993,x1991),f364(x1993,x1992))
% 40.48/40.63 [200]~E(x2001,x2002)+E(f421(x2001,x2003),f421(x2002,x2003))
% 40.48/40.63 [201]~E(x2011,x2012)+E(f421(x2013,x2011),f421(x2013,x2012))
% 40.48/40.63 [202]~E(x2021,x2022)+E(f198(x2021,x2023,x2024),f198(x2022,x2023,x2024))
% 40.48/40.63 [203]~E(x2031,x2032)+E(f198(x2033,x2031,x2034),f198(x2033,x2032,x2034))
% 40.48/40.63 [204]~E(x2041,x2042)+E(f198(x2043,x2044,x2041),f198(x2043,x2044,x2042))
% 40.48/40.63 [205]~E(x2051,x2052)+E(f319(x2051,x2053),f319(x2052,x2053))
% 40.48/40.63 [206]~E(x2061,x2062)+E(f319(x2063,x2061),f319(x2063,x2062))
% 40.48/40.63 [207]~E(x2071,x2072)+E(f157(x2071,x2073,x2074,x2075),f157(x2072,x2073,x2074,x2075))
% 40.48/40.63 [208]~E(x2081,x2082)+E(f157(x2083,x2081,x2084,x2085),f157(x2083,x2082,x2084,x2085))
% 40.48/40.63 [209]~E(x2091,x2092)+E(f157(x2093,x2094,x2091,x2095),f157(x2093,x2094,x2092,x2095))
% 40.48/40.63 [210]~E(x2101,x2102)+E(f157(x2103,x2104,x2105,x2101),f157(x2103,x2104,x2105,x2102))
% 40.48/40.63 [211]~E(x2111,x2112)+E(f103(x2111,x2113),f103(x2112,x2113))
% 40.48/40.63 [212]~E(x2121,x2122)+E(f103(x2123,x2121),f103(x2123,x2122))
% 40.48/40.63 [213]~E(x2131,x2132)+E(f408(x2131,x2133),f408(x2132,x2133))
% 40.48/40.63 [214]~E(x2141,x2142)+E(f408(x2143,x2141),f408(x2143,x2142))
% 40.48/40.63 [215]~E(x2151,x2152)+E(f328(x2151,x2153),f328(x2152,x2153))
% 40.48/40.63 [216]~E(x2161,x2162)+E(f328(x2163,x2161),f328(x2163,x2162))
% 40.48/40.63 [217]~E(x2171,x2172)+E(f241(x2171),f241(x2172))
% 40.48/40.63 [218]~E(x2181,x2182)+E(f366(x2181,x2183),f366(x2182,x2183))
% 40.48/40.63 [219]~E(x2191,x2192)+E(f366(x2193,x2191),f366(x2193,x2192))
% 40.48/40.63 [220]~E(x2201,x2202)+E(f251(x2201,x2203,x2204,x2205,x2206,x2207,x2208),f251(x2202,x2203,x2204,x2205,x2206,x2207,x2208))
% 40.48/40.63 [221]~E(x2211,x2212)+E(f251(x2213,x2211,x2214,x2215,x2216,x2217,x2218),f251(x2213,x2212,x2214,x2215,x2216,x2217,x2218))
% 40.48/40.63 [222]~E(x2221,x2222)+E(f251(x2223,x2224,x2221,x2225,x2226,x2227,x2228),f251(x2223,x2224,x2222,x2225,x2226,x2227,x2228))
% 40.48/40.63 [223]~E(x2231,x2232)+E(f251(x2233,x2234,x2235,x2231,x2236,x2237,x2238),f251(x2233,x2234,x2235,x2232,x2236,x2237,x2238))
% 40.48/40.63 [224]~E(x2241,x2242)+E(f251(x2243,x2244,x2245,x2246,x2241,x2247,x2248),f251(x2243,x2244,x2245,x2246,x2242,x2247,x2248))
% 40.48/40.63 [225]~E(x2251,x2252)+E(f251(x2253,x2254,x2255,x2256,x2257,x2251,x2258),f251(x2253,x2254,x2255,x2256,x2257,x2252,x2258))
% 40.48/40.63 [226]~E(x2261,x2262)+E(f251(x2263,x2264,x2265,x2266,x2267,x2268,x2261),f251(x2263,x2264,x2265,x2266,x2267,x2268,x2262))
% 40.48/40.63 [227]~E(x2271,x2272)+E(f254(x2271,x2273,x2274,x2275,x2276),f254(x2272,x2273,x2274,x2275,x2276))
% 40.48/40.63 [228]~E(x2281,x2282)+E(f254(x2283,x2281,x2284,x2285,x2286),f254(x2283,x2282,x2284,x2285,x2286))
% 40.48/40.63 [229]~E(x2291,x2292)+E(f254(x2293,x2294,x2291,x2295,x2296),f254(x2293,x2294,x2292,x2295,x2296))
% 40.48/40.63 [230]~E(x2301,x2302)+E(f254(x2303,x2304,x2305,x2301,x2306),f254(x2303,x2304,x2305,x2302,x2306))
% 40.48/40.63 [231]~E(x2311,x2312)+E(f254(x2313,x2314,x2315,x2316,x2311),f254(x2313,x2314,x2315,x2316,x2312))
% 40.48/40.63 [232]~E(x2321,x2322)+E(f310(x2321,x2323),f310(x2322,x2323))
% 40.48/40.63 [233]~E(x2331,x2332)+E(f310(x2333,x2331),f310(x2333,x2332))
% 40.48/40.63 [234]~E(x2341,x2342)+E(f187(x2341,x2343,x2344),f187(x2342,x2343,x2344))
% 40.48/40.63 [235]~E(x2351,x2352)+E(f187(x2353,x2351,x2354),f187(x2353,x2352,x2354))
% 40.48/40.63 [236]~E(x2361,x2362)+E(f187(x2363,x2364,x2361),f187(x2363,x2364,x2362))
% 40.48/40.63 [237]~E(x2371,x2372)+E(f396(x2371,x2373),f396(x2372,x2373))
% 40.48/40.63 [238]~E(x2381,x2382)+E(f396(x2383,x2381),f396(x2383,x2382))
% 40.48/40.63 [239]~E(x2391,x2392)+E(f145(x2391,x2393),f145(x2392,x2393))
% 40.48/40.63 [240]~E(x2401,x2402)+E(f145(x2403,x2401),f145(x2403,x2402))
% 40.48/40.63 [241]~E(x2411,x2412)+E(f299(x2411,x2413),f299(x2412,x2413))
% 40.48/40.63 [242]~E(x2421,x2422)+E(f299(x2423,x2421),f299(x2423,x2422))
% 40.48/40.63 [243]~E(x2431,x2432)+E(f28(x2431),f28(x2432))
% 40.48/40.63 [244]~E(x2441,x2442)+E(f402(x2441,x2443),f402(x2442,x2443))
% 40.48/40.63 [245]~E(x2451,x2452)+E(f402(x2453,x2451),f402(x2453,x2452))
% 40.48/40.63 [246]~E(x2461,x2462)+E(f330(x2461,x2463),f330(x2462,x2463))
% 40.48/40.63 [247]~E(x2471,x2472)+E(f330(x2473,x2471),f330(x2473,x2472))
% 40.48/40.63 [248]~E(x2481,x2482)+E(f382(x2481,x2483),f382(x2482,x2483))
% 40.48/40.63 [249]~E(x2491,x2492)+E(f382(x2493,x2491),f382(x2493,x2492))
% 40.48/40.63 [250]~E(x2501,x2502)+E(f227(x2501,x2503),f227(x2502,x2503))
% 40.48/40.63 [251]~E(x2511,x2512)+E(f227(x2513,x2511),f227(x2513,x2512))
% 40.48/40.63 [252]~E(x2521,x2522)+E(f122(x2521,x2523,x2524),f122(x2522,x2523,x2524))
% 40.48/40.63 [253]~E(x2531,x2532)+E(f122(x2533,x2531,x2534),f122(x2533,x2532,x2534))
% 40.48/40.63 [254]~E(x2541,x2542)+E(f122(x2543,x2544,x2541),f122(x2543,x2544,x2542))
% 40.48/40.63 [255]~E(x2551,x2552)+E(f207(x2551,x2553,x2554),f207(x2552,x2553,x2554))
% 40.48/40.63 [256]~E(x2561,x2562)+E(f207(x2563,x2561,x2564),f207(x2563,x2562,x2564))
% 40.48/40.63 [257]~E(x2571,x2572)+E(f207(x2573,x2574,x2571),f207(x2573,x2574,x2572))
% 40.48/40.63 [258]~E(x2581,x2582)+E(f97(x2581),f97(x2582))
% 40.48/40.63 [259]~E(x2591,x2592)+E(f228(x2591,x2593),f228(x2592,x2593))
% 40.48/40.63 [260]~E(x2601,x2602)+E(f228(x2603,x2601),f228(x2603,x2602))
% 40.48/40.63 [261]~E(x2611,x2612)+E(f52(x2611),f52(x2612))
% 40.48/40.63 [262]~E(x2621,x2622)+E(f135(x2621),f135(x2622))
% 40.48/40.63 [263]~E(x2631,x2632)+E(f409(x2631,x2633),f409(x2632,x2633))
% 40.48/40.63 [264]~E(x2641,x2642)+E(f409(x2643,x2641),f409(x2643,x2642))
% 40.48/40.63 [265]~E(x2651,x2652)+E(f439(x2651,x2653),f439(x2652,x2653))
% 40.48/40.63 [266]~E(x2661,x2662)+E(f439(x2663,x2661),f439(x2663,x2662))
% 40.48/40.63 [267]~E(x2671,x2672)+E(f337(x2671,x2673),f337(x2672,x2673))
% 40.48/40.63 [268]~E(x2681,x2682)+E(f337(x2683,x2681),f337(x2683,x2682))
% 40.48/40.63 [269]~E(x2691,x2692)+E(f309(x2691,x2693),f309(x2692,x2693))
% 40.48/40.63 [270]~E(x2701,x2702)+E(f309(x2703,x2701),f309(x2703,x2702))
% 40.48/40.63 [271]~E(x2711,x2712)+E(f358(x2711,x2713),f358(x2712,x2713))
% 40.48/40.63 [272]~E(x2721,x2722)+E(f358(x2723,x2721),f358(x2723,x2722))
% 40.48/40.63 [273]~E(x2731,x2732)+E(f222(x2731,x2733),f222(x2732,x2733))
% 40.48/40.63 [274]~E(x2741,x2742)+E(f222(x2743,x2741),f222(x2743,x2742))
% 40.48/40.63 [275]~E(x2751,x2752)+E(f121(x2751,x2753,x2754),f121(x2752,x2753,x2754))
% 40.48/40.63 [276]~E(x2761,x2762)+E(f121(x2763,x2761,x2764),f121(x2763,x2762,x2764))
% 40.48/40.63 [277]~E(x2771,x2772)+E(f121(x2773,x2774,x2771),f121(x2773,x2774,x2772))
% 40.48/40.63 [278]~E(x2781,x2782)+E(f211(x2781,x2783),f211(x2782,x2783))
% 40.48/40.63 [279]~E(x2791,x2792)+E(f211(x2793,x2791),f211(x2793,x2792))
% 40.48/40.63 [280]~E(x2801,x2802)+E(f195(x2801,x2803,x2804),f195(x2802,x2803,x2804))
% 40.48/40.63 [281]~E(x2811,x2812)+E(f195(x2813,x2811,x2814),f195(x2813,x2812,x2814))
% 40.48/40.63 [282]~E(x2821,x2822)+E(f195(x2823,x2824,x2821),f195(x2823,x2824,x2822))
% 40.48/40.63 [283]~E(x2831,x2832)+E(f127(x2831,x2833,x2834),f127(x2832,x2833,x2834))
% 40.48/40.63 [284]~E(x2841,x2842)+E(f127(x2843,x2841,x2844),f127(x2843,x2842,x2844))
% 40.48/40.63 [285]~E(x2851,x2852)+E(f127(x2853,x2854,x2851),f127(x2853,x2854,x2852))
% 40.48/40.63 [286]~E(x2861,x2862)+E(f327(x2861,x2863),f327(x2862,x2863))
% 40.48/40.63 [287]~E(x2871,x2872)+E(f327(x2873,x2871),f327(x2873,x2872))
% 40.48/40.63 [288]~E(x2881,x2882)+E(f440(x2881,x2883),f440(x2882,x2883))
% 40.48/40.63 [289]~E(x2891,x2892)+E(f440(x2893,x2891),f440(x2893,x2892))
% 40.48/40.63 [290]~E(x2901,x2902)+E(f346(x2901,x2903),f346(x2902,x2903))
% 40.48/40.63 [291]~E(x2911,x2912)+E(f346(x2913,x2911),f346(x2913,x2912))
% 40.48/40.63 [292]~E(x2921,x2922)+E(f164(x2921,x2923),f164(x2922,x2923))
% 40.48/40.63 [293]~E(x2931,x2932)+E(f164(x2933,x2931),f164(x2933,x2932))
% 40.48/40.63 [294]~E(x2941,x2942)+E(f200(x2941,x2943,x2944),f200(x2942,x2943,x2944))
% 40.48/40.63 [295]~E(x2951,x2952)+E(f200(x2953,x2951,x2954),f200(x2953,x2952,x2954))
% 40.48/40.63 [296]~E(x2961,x2962)+E(f200(x2963,x2964,x2961),f200(x2963,x2964,x2962))
% 40.48/40.63 [297]~E(x2971,x2972)+E(f469(x2971),f469(x2972))
% 40.48/40.63 [298]~E(x2981,x2982)+E(f247(x2981,x2983,x2984),f247(x2982,x2983,x2984))
% 40.48/40.63 [299]~E(x2991,x2992)+E(f247(x2993,x2991,x2994),f247(x2993,x2992,x2994))
% 40.48/40.63 [300]~E(x3001,x3002)+E(f247(x3003,x3004,x3001),f247(x3003,x3004,x3002))
% 40.48/40.63 [301]~E(x3011,x3012)+E(f110(x3011,x3013),f110(x3012,x3013))
% 40.48/40.63 [302]~E(x3021,x3022)+E(f110(x3023,x3021),f110(x3023,x3022))
% 40.48/40.63 [303]~E(x3031,x3032)+E(f307(x3031,x3033),f307(x3032,x3033))
% 40.48/40.63 [304]~E(x3041,x3042)+E(f307(x3043,x3041),f307(x3043,x3042))
% 40.48/40.63 [305]~E(x3051,x3052)+E(f199(x3051,x3053,x3054),f199(x3052,x3053,x3054))
% 40.48/40.63 [306]~E(x3061,x3062)+E(f199(x3063,x3061,x3064),f199(x3063,x3062,x3064))
% 40.48/40.63 [307]~E(x3071,x3072)+E(f199(x3073,x3074,x3071),f199(x3073,x3074,x3072))
% 40.48/40.63 [308]~E(x3081,x3082)+E(f215(x3081),f215(x3082))
% 40.48/40.63 [309]~E(x3091,x3092)+E(f326(x3091,x3093),f326(x3092,x3093))
% 40.48/40.63 [310]~E(x3101,x3102)+E(f326(x3103,x3101),f326(x3103,x3102))
% 40.48/40.63 [311]~E(x3111,x3112)+E(f481(x3111),f481(x3112))
% 40.48/40.63 [312]~E(x3121,x3122)+E(f528(x3121,x3123),f528(x3122,x3123))
% 40.48/40.63 [313]~E(x3131,x3132)+E(f528(x3133,x3131),f528(x3133,x3132))
% 40.48/40.63 [314]~E(x3141,x3142)+E(f308(x3141,x3143),f308(x3142,x3143))
% 40.48/40.63 [315]~E(x3151,x3152)+E(f308(x3153,x3151),f308(x3153,x3152))
% 40.48/40.63 [316]~E(x3161,x3162)+E(f432(x3161,x3163),f432(x3162,x3163))
% 40.48/40.63 [317]~E(x3171,x3172)+E(f432(x3173,x3171),f432(x3173,x3172))
% 40.48/40.63 [318]~E(x3181,x3182)+E(f434(x3181,x3183),f434(x3182,x3183))
% 40.48/40.63 [319]~E(x3191,x3192)+E(f434(x3193,x3191),f434(x3193,x3192))
% 40.48/40.63 [320]~E(x3201,x3202)+E(f313(x3201,x3203),f313(x3202,x3203))
% 40.48/40.63 [321]~E(x3211,x3212)+E(f313(x3213,x3211),f313(x3213,x3212))
% 40.48/40.63 [322]~E(x3221,x3222)+E(f117(x3221,x3223,x3224,x3225),f117(x3222,x3223,x3224,x3225))
% 40.48/40.63 [323]~E(x3231,x3232)+E(f117(x3233,x3231,x3234,x3235),f117(x3233,x3232,x3234,x3235))
% 40.48/40.63 [324]~E(x3241,x3242)+E(f117(x3243,x3244,x3241,x3245),f117(x3243,x3244,x3242,x3245))
% 40.48/40.63 [325]~E(x3251,x3252)+E(f117(x3253,x3254,x3255,x3251),f117(x3253,x3254,x3255,x3252))
% 40.48/40.63 [326]~E(x3261,x3262)+E(f453(x3261,x3263),f453(x3262,x3263))
% 40.48/40.63 [327]~E(x3271,x3272)+E(f453(x3273,x3271),f453(x3273,x3272))
% 40.48/40.63 [328]~E(x3281,x3282)+E(f399(x3281,x3283),f399(x3282,x3283))
% 40.48/40.63 [329]~E(x3291,x3292)+E(f399(x3293,x3291),f399(x3293,x3292))
% 40.48/40.63 [330]~E(x3301,x3302)+E(f43(x3301),f43(x3302))
% 40.48/40.63 [331]~E(x3311,x3312)+E(f120(x3311,x3313,x3314,x3315),f120(x3312,x3313,x3314,x3315))
% 40.48/40.63 [332]~E(x3321,x3322)+E(f120(x3323,x3321,x3324,x3325),f120(x3323,x3322,x3324,x3325))
% 40.48/40.63 [333]~E(x3331,x3332)+E(f120(x3333,x3334,x3331,x3335),f120(x3333,x3334,x3332,x3335))
% 40.48/40.63 [334]~E(x3341,x3342)+E(f120(x3343,x3344,x3345,x3341),f120(x3343,x3344,x3345,x3342))
% 40.48/40.63 [335]~E(x3351,x3352)+E(f19(x3351),f19(x3352))
% 40.48/40.63 [336]~E(x3361,x3362)+E(f186(x3361,x3363,x3364),f186(x3362,x3363,x3364))
% 40.48/40.63 [337]~E(x3371,x3372)+E(f186(x3373,x3371,x3374),f186(x3373,x3372,x3374))
% 40.48/40.63 [338]~E(x3381,x3382)+E(f186(x3383,x3384,x3381),f186(x3383,x3384,x3382))
% 40.48/40.63 [339]~E(x3391,x3392)+E(f102(x3391,x3393),f102(x3392,x3393))
% 40.48/40.63 [340]~E(x3401,x3402)+E(f102(x3403,x3401),f102(x3403,x3402))
% 40.48/40.63 [341]~E(x3411,x3412)+E(f172(x3411,x3413,x3414),f172(x3412,x3413,x3414))
% 40.48/40.63 [342]~E(x3421,x3422)+E(f172(x3423,x3421,x3424),f172(x3423,x3422,x3424))
% 40.48/40.63 [343]~E(x3431,x3432)+E(f172(x3433,x3434,x3431),f172(x3433,x3434,x3432))
% 40.48/40.63 [344]~E(x3441,x3442)+E(f231(x3441,x3443),f231(x3442,x3443))
% 40.48/40.63 [345]~E(x3451,x3452)+E(f231(x3453,x3451),f231(x3453,x3452))
% 40.48/40.63 [346]~E(x3461,x3462)+E(f20(x3461),f20(x3462))
% 40.48/40.63 [347]~E(x3471,x3472)+E(f105(x3471,x3473),f105(x3472,x3473))
% 40.48/40.63 [348]~E(x3481,x3482)+E(f105(x3483,x3481),f105(x3483,x3482))
% 40.48/40.63 [349]~E(x3491,x3492)+E(f483(x3491),f483(x3492))
% 40.48/40.63 [350]~E(x3501,x3502)+E(f419(x3501,x3503),f419(x3502,x3503))
% 40.48/40.63 [351]~E(x3511,x3512)+E(f419(x3513,x3511),f419(x3513,x3512))
% 40.48/40.63 [352]~E(x3521,x3522)+E(f119(x3521,x3523,x3524,x3525),f119(x3522,x3523,x3524,x3525))
% 40.48/40.63 [353]~E(x3531,x3532)+E(f119(x3533,x3531,x3534,x3535),f119(x3533,x3532,x3534,x3535))
% 40.48/40.63 [354]~E(x3541,x3542)+E(f119(x3543,x3544,x3541,x3545),f119(x3543,x3544,x3542,x3545))
% 40.48/40.63 [355]~E(x3551,x3552)+E(f119(x3553,x3554,x3555,x3551),f119(x3553,x3554,x3555,x3552))
% 40.48/40.63 [356]~E(x3561,x3562)+E(f48(x3561),f48(x3562))
% 40.48/40.63 [357]~E(x3571,x3572)+E(f332(x3571,x3573),f332(x3572,x3573))
% 40.48/40.63 [358]~E(x3581,x3582)+E(f332(x3583,x3581),f332(x3583,x3582))
% 40.48/40.63 [359]~E(x3591,x3592)+E(f139(x3591,x3593),f139(x3592,x3593))
% 40.48/40.63 [360]~E(x3601,x3602)+E(f139(x3603,x3601),f139(x3603,x3602))
% 40.48/40.63 [361]~E(x3611,x3612)+E(f240(x3611),f240(x3612))
% 40.48/40.63 [362]~E(x3621,x3622)+E(f477(x3621),f477(x3622))
% 40.48/40.63 [363]~E(x3631,x3632)+E(f21(x3631),f21(x3632))
% 40.48/40.63 [364]~E(x3641,x3642)+E(f403(x3641,x3643),f403(x3642,x3643))
% 40.48/40.63 [365]~E(x3651,x3652)+E(f403(x3653,x3651),f403(x3653,x3652))
% 40.48/40.63 [366]~E(x3661,x3662)+E(f506(x3661,x3663),f506(x3662,x3663))
% 40.48/40.63 [367]~E(x3671,x3672)+E(f506(x3673,x3671),f506(x3673,x3672))
% 40.48/40.63 [368]~E(x3681,x3682)+E(f206(x3681,x3683),f206(x3682,x3683))
% 40.48/40.63 [369]~E(x3691,x3692)+E(f206(x3693,x3691),f206(x3693,x3692))
% 40.48/40.63 [370]~E(x3701,x3702)+E(f386(x3701,x3703),f386(x3702,x3703))
% 40.48/40.63 [371]~E(x3711,x3712)+E(f386(x3713,x3711),f386(x3713,x3712))
% 40.48/40.63 [372]~E(x3721,x3722)+E(f22(x3721),f22(x3722))
% 40.48/40.63 [373]~E(x3731,x3732)+E(f353(x3731,x3733),f353(x3732,x3733))
% 40.48/40.63 [374]~E(x3741,x3742)+E(f353(x3743,x3741),f353(x3743,x3742))
% 40.48/40.63 [375]~E(x3751,x3752)+E(f208(x3751,x3753),f208(x3752,x3753))
% 40.48/40.63 [376]~E(x3761,x3762)+E(f208(x3763,x3761),f208(x3763,x3762))
% 40.48/40.63 [377]~E(x3771,x3772)+E(f216(x3771),f216(x3772))
% 40.48/40.63 [378]~E(x3781,x3782)+E(f397(x3781,x3783),f397(x3782,x3783))
% 40.48/40.63 [379]~E(x3791,x3792)+E(f397(x3793,x3791),f397(x3793,x3792))
% 40.48/40.63 [380]~E(x3801,x3802)+E(f31(x3801),f31(x3802))
% 40.48/40.63 [381]~E(x3811,x3812)+E(f320(x3811,x3813),f320(x3812,x3813))
% 40.48/40.63 [382]~E(x3821,x3822)+E(f320(x3823,x3821),f320(x3823,x3822))
% 40.48/40.63 [383]~E(x3831,x3832)+E(f478(x3831),f478(x3832))
% 40.48/40.63 [384]~E(x3841,x3842)+E(f468(x3841),f468(x3842))
% 40.48/40.63 [385]~E(x3851,x3852)+E(f420(x3851,x3853),f420(x3852,x3853))
% 40.48/40.63 [386]~E(x3861,x3862)+E(f420(x3863,x3861),f420(x3863,x3862))
% 40.48/40.63 [387]~E(x3871,x3872)+E(f45(x3871),f45(x3872))
% 40.48/40.63 [388]~E(x3881,x3882)+E(f162(x3881,x3883,x3884,x3885),f162(x3882,x3883,x3884,x3885))
% 40.48/40.63 [389]~E(x3891,x3892)+E(f162(x3893,x3891,x3894,x3895),f162(x3893,x3892,x3894,x3895))
% 40.48/40.63 [390]~E(x3901,x3902)+E(f162(x3903,x3904,x3901,x3905),f162(x3903,x3904,x3902,x3905))
% 40.48/40.63 [391]~E(x3911,x3912)+E(f162(x3913,x3914,x3915,x3911),f162(x3913,x3914,x3915,x3912))
% 40.48/40.63 [392]~E(x3921,x3922)+E(f248(x3921,x3923,x3924),f248(x3922,x3923,x3924))
% 40.48/40.63 [393]~E(x3931,x3932)+E(f248(x3933,x3931,x3934),f248(x3933,x3932,x3934))
% 40.48/40.63 [394]~E(x3941,x3942)+E(f248(x3943,x3944,x3941),f248(x3943,x3944,x3942))
% 40.48/40.63 [395]~E(x3951,x3952)+E(f197(x3951,x3953,x3954),f197(x3952,x3953,x3954))
% 40.48/40.63 [396]~E(x3961,x3962)+E(f197(x3963,x3961,x3964),f197(x3963,x3962,x3964))
% 40.48/40.63 [397]~E(x3971,x3972)+E(f197(x3973,x3974,x3971),f197(x3973,x3974,x3972))
% 40.48/40.63 [398]~E(x3981,x3982)+E(f331(x3981,x3983),f331(x3982,x3983))
% 40.48/40.63 [399]~E(x3991,x3992)+E(f331(x3993,x3991),f331(x3993,x3992))
% 40.48/40.63 [400]~E(x4001,x4002)+E(f32(x4001),f32(x4002))
% 40.48/40.63 [401]~E(x4011,x4012)+E(f336(x4011,x4013),f336(x4012,x4013))
% 40.48/40.63 [402]~E(x4021,x4022)+E(f336(x4023,x4021),f336(x4023,x4022))
% 40.48/40.63 [403]~E(x4031,x4032)+E(f108(x4031,x4033),f108(x4032,x4033))
% 40.48/40.63 [404]~E(x4041,x4042)+E(f108(x4043,x4041),f108(x4043,x4042))
% 40.48/40.63 [405]~E(x4051,x4052)+E(f46(x4051),f46(x4052))
% 40.48/40.63 [406]~E(x4061,x4062)+E(f212(x4061,x4063),f212(x4062,x4063))
% 40.48/40.63 [407]~E(x4071,x4072)+E(f212(x4073,x4071),f212(x4073,x4072))
% 40.48/40.63 [408]~E(x4081,x4082)+E(f23(x4081),f23(x4082))
% 40.48/40.63 [409]~E(x4091,x4092)+E(f416(x4091,x4093),f416(x4092,x4093))
% 40.48/40.63 [410]~E(x4101,x4102)+E(f416(x4103,x4101),f416(x4103,x4102))
% 40.48/40.63 [411]~E(x4111,x4112)+E(f214(x4111,x4113),f214(x4112,x4113))
% 40.48/40.63 [412]~E(x4121,x4122)+E(f214(x4123,x4121),f214(x4123,x4122))
% 40.48/40.63 [413]~E(x4131,x4132)+E(f40(x4131),f40(x4132))
% 40.48/40.63 [414]~E(x4141,x4142)+E(f106(x4141,x4143),f106(x4142,x4143))
% 40.48/40.63 [415]~E(x4151,x4152)+E(f106(x4153,x4151),f106(x4153,x4152))
% 40.48/40.63 [416]~E(x4161,x4162)+E(f33(x4161),f33(x4162))
% 40.48/40.63 [417]~E(x4171,x4172)+E(f390(x4171,x4173),f390(x4172,x4173))
% 40.48/40.63 [418]~E(x4181,x4182)+E(f390(x4183,x4181),f390(x4183,x4182))
% 40.48/40.63 [419]~E(x4191,x4192)+E(f192(x4191,x4193),f192(x4192,x4193))
% 40.48/40.63 [420]~E(x4201,x4202)+E(f192(x4203,x4201),f192(x4203,x4202))
% 40.48/40.63 [421]~E(x4211,x4212)+E(f42(x4211),f42(x4212))
% 40.48/40.63 [422]~E(x4221,x4222)+E(f260(x4221,x4223,x4224,x4225,x4226,x4227),f260(x4222,x4223,x4224,x4225,x4226,x4227))
% 40.48/40.63 [423]~E(x4231,x4232)+E(f260(x4233,x4231,x4234,x4235,x4236,x4237),f260(x4233,x4232,x4234,x4235,x4236,x4237))
% 40.48/40.63 [424]~E(x4241,x4242)+E(f260(x4243,x4244,x4241,x4245,x4246,x4247),f260(x4243,x4244,x4242,x4245,x4246,x4247))
% 40.48/40.63 [425]~E(x4251,x4252)+E(f260(x4253,x4254,x4255,x4251,x4256,x4257),f260(x4253,x4254,x4255,x4252,x4256,x4257))
% 40.48/40.63 [426]~E(x4261,x4262)+E(f260(x4263,x4264,x4265,x4266,x4261,x4267),f260(x4263,x4264,x4265,x4266,x4262,x4267))
% 40.48/40.63 [427]~E(x4271,x4272)+E(f260(x4273,x4274,x4275,x4276,x4277,x4271),f260(x4273,x4274,x4275,x4276,x4277,x4272))
% 40.48/40.63 [428]~E(x4281,x4282)+E(f38(x4281),f38(x4282))
% 40.48/40.63 [429]~E(x4291,x4292)+E(f146(x4291,x4293),f146(x4292,x4293))
% 40.48/40.63 [430]~E(x4301,x4302)+E(f146(x4303,x4301),f146(x4303,x4302))
% 40.48/40.63 [431]~E(x4311,x4312)+E(f394(x4311,x4313),f394(x4312,x4313))
% 40.48/40.63 [432]~E(x4321,x4322)+E(f394(x4323,x4321),f394(x4323,x4322))
% 40.48/40.63 [433]~E(x4331,x4332)+E(f114(x4331,x4333,x4334,x4335),f114(x4332,x4333,x4334,x4335))
% 40.48/40.63 [434]~E(x4341,x4342)+E(f114(x4343,x4341,x4344,x4345),f114(x4343,x4342,x4344,x4345))
% 40.48/40.63 [435]~E(x4351,x4352)+E(f114(x4353,x4354,x4351,x4355),f114(x4353,x4354,x4352,x4355))
% 40.48/40.63 [436]~E(x4361,x4362)+E(f114(x4363,x4364,x4365,x4361),f114(x4363,x4364,x4365,x4362))
% 40.48/40.63 [437]~E(x4371,x4372)+E(f381(x4371,x4373),f381(x4372,x4373))
% 40.48/40.63 [438]~E(x4381,x4382)+E(f381(x4383,x4381),f381(x4383,x4382))
% 40.48/40.63 [439]~E(x4391,x4392)+E(f49(x4391),f49(x4392))
% 40.48/40.63 [440]~E(x4401,x4402)+E(f333(x4401,x4403),f333(x4402,x4403))
% 40.48/40.63 [441]~E(x4411,x4412)+E(f333(x4413,x4411),f333(x4413,x4412))
% 40.48/40.63 [442]~E(x4421,x4422)+E(f315(x4421,x4423),f315(x4422,x4423))
% 40.48/40.63 [443]~E(x4431,x4432)+E(f315(x4433,x4431),f315(x4433,x4432))
% 40.48/40.63 [444]~E(x4441,x4442)+E(f225(x4441),f225(x4442))
% 40.48/40.63 [445]~E(x4451,x4452)+E(f144(x4451,x4453),f144(x4452,x4453))
% 40.48/40.63 [446]~E(x4461,x4462)+E(f144(x4463,x4461),f144(x4463,x4462))
% 40.48/40.63 [447]~E(x4471,x4472)+E(f39(x4471),f39(x4472))
% 40.48/40.63 [448]~E(x4481,x4482)+E(f387(x4481,x4483),f387(x4482,x4483))
% 40.48/40.63 [449]~E(x4491,x4492)+E(f387(x4493,x4491),f387(x4493,x4492))
% 40.48/40.63 [450]~E(x4501,x4502)+E(f324(x4501,x4503),f324(x4502,x4503))
% 40.48/40.63 [451]~E(x4511,x4512)+E(f324(x4513,x4511),f324(x4513,x4512))
% 40.48/40.63 [452]~E(x4521,x4522)+E(f375(x4521,x4523),f375(x4522,x4523))
% 40.48/40.63 [453]~E(x4531,x4532)+E(f375(x4533,x4531),f375(x4533,x4532))
% 40.48/40.63 [454]~E(x4541,x4542)+E(f205(x4541),f205(x4542))
% 40.48/40.63 [455]~E(x4551,x4552)+E(f34(x4551),f34(x4552))
% 40.48/40.63 [456]~E(x4561,x4562)+E(f371(x4561,x4563),f371(x4562,x4563))
% 40.48/40.63 [457]~E(x4571,x4572)+E(f371(x4573,x4571),f371(x4573,x4572))
% 40.48/40.63 [458]~E(x4581,x4582)+E(f385(x4581,x4583),f385(x4582,x4583))
% 40.48/40.63 [459]~E(x4591,x4592)+E(f385(x4593,x4591),f385(x4593,x4592))
% 40.48/40.63 [460]~E(x4601,x4602)+E(f219(x4601),f219(x4602))
% 40.48/40.63 [461]~E(x4611,x4612)+E(f461(x4611),f461(x4612))
% 40.48/40.63 [462]~E(x4621,x4622)+E(f24(x4621),f24(x4622))
% 40.48/40.63 [463]~E(x4631,x4632)+E(f430(x4631,x4633),f430(x4632,x4633))
% 40.48/40.63 [464]~E(x4641,x4642)+E(f430(x4643,x4641),f430(x4643,x4642))
% 40.48/40.63 [465]~E(x4651,x4652)+E(f230(x4651,x4653),f230(x4652,x4653))
% 40.48/40.63 [466]~E(x4661,x4662)+E(f230(x4663,x4661),f230(x4663,x4662))
% 40.48/40.63 [467]~E(x4671,x4672)+E(f99(x4671),f99(x4672))
% 40.48/40.63 [468]~E(x4681,x4682)+E(f232(x4681,x4683),f232(x4682,x4683))
% 40.48/40.63 [469]~E(x4691,x4692)+E(f232(x4693,x4691),f232(x4693,x4692))
% 40.48/40.63 [470]~E(x4701,x4702)+E(f50(x4701),f50(x4702))
% 40.48/40.63 [471]~E(x4711,x4712)+E(f428(x4711,x4713),f428(x4712,x4713))
% 40.48/40.63 [472]~E(x4721,x4722)+E(f428(x4723,x4721),f428(x4723,x4722))
% 40.48/40.63 [473]~E(x4731,x4732)+E(f258(x4731,x4733,x4734,x4735,x4736,x4737),f258(x4732,x4733,x4734,x4735,x4736,x4737))
% 40.48/40.63 [474]~E(x4741,x4742)+E(f258(x4743,x4741,x4744,x4745,x4746,x4747),f258(x4743,x4742,x4744,x4745,x4746,x4747))
% 40.48/40.63 [475]~E(x4751,x4752)+E(f258(x4753,x4754,x4751,x4755,x4756,x4757),f258(x4753,x4754,x4752,x4755,x4756,x4757))
% 40.48/40.63 [476]~E(x4761,x4762)+E(f258(x4763,x4764,x4765,x4761,x4766,x4767),f258(x4763,x4764,x4765,x4762,x4766,x4767))
% 40.48/40.63 [477]~E(x4771,x4772)+E(f258(x4773,x4774,x4775,x4776,x4771,x4777),f258(x4773,x4774,x4775,x4776,x4772,x4777))
% 40.48/40.63 [478]~E(x4781,x4782)+E(f258(x4783,x4784,x4785,x4786,x4787,x4781),f258(x4783,x4784,x4785,x4786,x4787,x4782))
% 40.48/40.63 [479]~E(x4791,x4792)+E(f433(x4791,x4793),f433(x4792,x4793))
% 40.48/40.63 [480]~E(x4801,x4802)+E(f433(x4803,x4801),f433(x4803,x4802))
% 40.48/40.63 [481]~E(x4811,x4812)+E(f128(x4811,x4813,x4814),f128(x4812,x4813,x4814))
% 40.48/40.63 [482]~E(x4821,x4822)+E(f128(x4823,x4821,x4824),f128(x4823,x4822,x4824))
% 40.48/40.63 [483]~E(x4831,x4832)+E(f128(x4833,x4834,x4831),f128(x4833,x4834,x4832))
% 40.48/40.63 [484]~E(x4841,x4842)+E(f26(x4841),f26(x4842))
% 40.48/40.63 [485]~E(x4851,x4852)+E(f395(x4851,x4853),f395(x4852,x4853))
% 40.48/40.63 [486]~E(x4861,x4862)+E(f395(x4863,x4861),f395(x4863,x4862))
% 40.48/40.63 [487]~E(x4871,x4872)+E(f259(x4871,x4873,x4874,x4875,x4876,x4877),f259(x4872,x4873,x4874,x4875,x4876,x4877))
% 40.48/40.63 [488]~E(x4881,x4882)+E(f259(x4883,x4881,x4884,x4885,x4886,x4887),f259(x4883,x4882,x4884,x4885,x4886,x4887))
% 40.48/40.63 [489]~E(x4891,x4892)+E(f259(x4893,x4894,x4891,x4895,x4896,x4897),f259(x4893,x4894,x4892,x4895,x4896,x4897))
% 40.48/40.63 [490]~E(x4901,x4902)+E(f259(x4903,x4904,x4905,x4901,x4906,x4907),f259(x4903,x4904,x4905,x4902,x4906,x4907))
% 40.48/40.63 [491]~E(x4911,x4912)+E(f259(x4913,x4914,x4915,x4916,x4911,x4917),f259(x4913,x4914,x4915,x4916,x4912,x4917))
% 40.48/40.63 [492]~E(x4921,x4922)+E(f259(x4923,x4924,x4925,x4926,x4927,x4921),f259(x4923,x4924,x4925,x4926,x4927,x4922))
% 40.48/40.63 [493]~E(x4931,x4932)+E(f418(x4931,x4933),f418(x4932,x4933))
% 40.48/40.63 [494]~E(x4941,x4942)+E(f418(x4943,x4941),f418(x4943,x4942))
% 40.48/40.63 [495]~E(x4951,x4952)+E(f237(x4951,x4953,x4954),f237(x4952,x4953,x4954))
% 40.48/40.63 [496]~E(x4961,x4962)+E(f237(x4963,x4961,x4964),f237(x4963,x4962,x4964))
% 40.48/40.63 [497]~E(x4971,x4972)+E(f237(x4973,x4974,x4971),f237(x4973,x4974,x4972))
% 40.48/40.63 [498]~E(x4981,x4982)+E(f27(x4981),f27(x4982))
% 40.48/40.63 [499]~E(x4991,x4992)+E(f357(x4991,x4993),f357(x4992,x4993))
% 40.48/40.63 [500]~E(x5001,x5002)+E(f357(x5003,x5001),f357(x5003,x5002))
% 40.48/40.63 [501]~E(x5011,x5012)+E(f36(x5011),f36(x5012))
% 40.48/40.63 [502]~E(x5021,x5022)+E(f147(x5021,x5023,x5024),f147(x5022,x5023,x5024))
% 40.48/40.63 [503]~E(x5031,x5032)+E(f147(x5033,x5031,x5034),f147(x5033,x5032,x5034))
% 40.48/40.63 [504]~E(x5041,x5042)+E(f147(x5043,x5044,x5041),f147(x5043,x5044,x5042))
% 40.48/40.63 [505]~E(x5051,x5052)+E(f243(x5051,x5053,x5054),f243(x5052,x5053,x5054))
% 40.48/40.63 [506]~E(x5061,x5062)+E(f243(x5063,x5061,x5064),f243(x5063,x5062,x5064))
% 40.48/40.63 [507]~E(x5071,x5072)+E(f243(x5073,x5074,x5071),f243(x5073,x5074,x5072))
% 40.48/40.63 [508]~E(x5081,x5082)+E(f203(x5081,x5083,x5084),f203(x5082,x5083,x5084))
% 40.48/40.63 [509]~E(x5091,x5092)+E(f203(x5093,x5091,x5094),f203(x5093,x5092,x5094))
% 40.48/40.63 [510]~E(x5101,x5102)+E(f203(x5103,x5104,x5101),f203(x5103,x5104,x5102))
% 40.48/40.63 [511]~E(x5111,x5112)+E(f354(x5111,x5113),f354(x5112,x5113))
% 40.48/40.63 [512]~E(x5121,x5122)+E(f354(x5123,x5121),f354(x5123,x5122))
% 40.48/40.63 [513]~E(x5131,x5132)+E(f25(x5131),f25(x5132))
% 40.48/40.63 [514]~E(x5141,x5142)+E(f220(x5141),f220(x5142))
% 40.48/40.63 [515]~E(x5151,x5152)+E(f245(x5151,x5153,x5154),f245(x5152,x5153,x5154))
% 40.48/40.63 [516]~E(x5161,x5162)+E(f245(x5163,x5161,x5164),f245(x5163,x5162,x5164))
% 40.48/40.63 [517]~E(x5171,x5172)+E(f245(x5173,x5174,x5171),f245(x5173,x5174,x5172))
% 40.48/40.63 [518]~E(x5181,x5182)+E(f471(x5181),f471(x5182))
% 40.48/40.63 [519]~E(x5191,x5192)+E(f159(x5191,x5193,x5194,x5195),f159(x5192,x5193,x5194,x5195))
% 40.48/40.63 [520]~E(x5201,x5202)+E(f159(x5203,x5201,x5204,x5205),f159(x5203,x5202,x5204,x5205))
% 40.48/40.63 [521]~E(x5211,x5212)+E(f159(x5213,x5214,x5211,x5215),f159(x5213,x5214,x5212,x5215))
% 40.48/40.63 [522]~E(x5221,x5222)+E(f159(x5223,x5224,x5225,x5221),f159(x5223,x5224,x5225,x5222))
% 40.48/40.63 [523]~E(x5231,x5232)+E(f204(x5231,x5233,x5234),f204(x5232,x5233,x5234))
% 40.48/40.63 [524]~E(x5241,x5242)+E(f204(x5243,x5241,x5244),f204(x5243,x5242,x5244))
% 40.48/40.63 [525]~E(x5251,x5252)+E(f204(x5253,x5254,x5251),f204(x5253,x5254,x5252))
% 40.48/40.63 [526]~E(x5261,x5262)+E(f140(x5261,x5263),f140(x5262,x5263))
% 40.48/40.63 [527]~E(x5271,x5272)+E(f140(x5273,x5271),f140(x5273,x5272))
% 40.48/40.63 [528]~E(x5281,x5282)+E(f170(x5281,x5283,x5284,x5285),f170(x5282,x5283,x5284,x5285))
% 40.48/40.63 [529]~E(x5291,x5292)+E(f170(x5293,x5291,x5294,x5295),f170(x5293,x5292,x5294,x5295))
% 40.48/40.63 [530]~E(x5301,x5302)+E(f170(x5303,x5304,x5301,x5305),f170(x5303,x5304,x5302,x5305))
% 40.48/40.63 [531]~E(x5311,x5312)+E(f170(x5313,x5314,x5315,x5311),f170(x5313,x5314,x5315,x5312))
% 40.48/40.63 [532]~E(x5321,x5322)+E(f51(x5321),f51(x5322))
% 40.48/40.63 [533]~E(x5331,x5332)+E(f161(x5331,x5333,x5334,x5335),f161(x5332,x5333,x5334,x5335))
% 40.48/40.63 [534]~E(x5341,x5342)+E(f161(x5343,x5341,x5344,x5345),f161(x5343,x5342,x5344,x5345))
% 40.48/40.63 [535]~E(x5351,x5352)+E(f161(x5353,x5354,x5351,x5355),f161(x5353,x5354,x5352,x5355))
% 40.48/40.63 [536]~E(x5361,x5362)+E(f161(x5363,x5364,x5365,x5361),f161(x5363,x5364,x5365,x5362))
% 40.48/40.63 [537]~E(x5371,x5372)+E(f448(x5371,x5373),f448(x5372,x5373))
% 40.48/40.63 [538]~E(x5381,x5382)+E(f448(x5383,x5381),f448(x5383,x5382))
% 40.48/40.63 [539]~E(x5391,x5392)+E(f30(x5391),f30(x5392))
% 40.48/40.63 [540]~E(x5401,x5402)+E(f334(x5401,x5403),f334(x5402,x5403))
% 40.48/40.63 [541]~E(x5411,x5412)+E(f334(x5413,x5411),f334(x5413,x5412))
% 40.48/40.63 [542]~E(x5421,x5422)+E(f47(x5421),f47(x5422))
% 40.48/40.63 [543]~E(x5431,x5432)+E(f372(x5431,x5433),f372(x5432,x5433))
% 40.48/40.63 [544]~E(x5441,x5442)+E(f372(x5443,x5441),f372(x5443,x5442))
% 40.48/40.63 [545]~E(x5451,x5452)+E(f436(x5451,x5453),f436(x5452,x5453))
% 40.48/40.63 [546]~E(x5461,x5462)+E(f436(x5463,x5461),f436(x5463,x5462))
% 40.48/40.63 [547]~E(x5471,x5472)+E(f81(x5471),f81(x5472))
% 40.48/40.63 [548]~E(x5481,x5482)+E(f221(x5481),f221(x5482))
% 40.48/40.63 [549]~E(x5491,x5492)+E(f202(x5491,x5493,x5494),f202(x5492,x5493,x5494))
% 40.48/40.63 [550]~E(x5501,x5502)+E(f202(x5503,x5501,x5504),f202(x5503,x5502,x5504))
% 40.48/40.63 [551]~E(x5511,x5512)+E(f202(x5513,x5514,x5511),f202(x5513,x5514,x5512))
% 40.48/40.63 [552]~E(x5521,x5522)+E(f365(x5521,x5523),f365(x5522,x5523))
% 40.48/40.63 [553]~E(x5531,x5532)+E(f365(x5533,x5531),f365(x5533,x5532))
% 40.48/40.63 [554]~E(x5541,x5542)+E(f189(x5541,x5543,x5544),f189(x5542,x5543,x5544))
% 40.48/40.63 [555]~E(x5551,x5552)+E(f189(x5553,x5551,x5554),f189(x5553,x5552,x5554))
% 40.48/40.63 [556]~E(x5561,x5562)+E(f189(x5563,x5564,x5561),f189(x5563,x5564,x5562))
% 40.48/40.63 [557]~E(x5571,x5572)+E(f456(x5571,x5573),f456(x5572,x5573))
% 40.48/40.63 [558]~E(x5581,x5582)+E(f456(x5583,x5581),f456(x5583,x5582))
% 40.48/40.63 [559]~E(x5591,x5592)+E(f209(x5591,x5593),f209(x5592,x5593))
% 40.48/40.63 [560]~E(x5601,x5602)+E(f209(x5603,x5601),f209(x5603,x5602))
% 40.48/40.63 [561]~E(x5611,x5612)+E(f35(x5611),f35(x5612))
% 40.48/40.63 [562]~E(x5621,x5622)+E(f322(x5621,x5623),f322(x5622,x5623))
% 40.48/40.63 [563]~E(x5631,x5632)+E(f322(x5633,x5631),f322(x5633,x5632))
% 40.48/40.63 [564]~E(x5641,x5642)+E(f459(x5641,x5643),f459(x5642,x5643))
% 40.48/40.63 [565]~E(x5651,x5652)+E(f459(x5653,x5651),f459(x5653,x5652))
% 40.48/40.63 [566]~E(x5661,x5662)+E(f441(x5661,x5663),f441(x5662,x5663))
% 40.48/40.63 [567]~E(x5671,x5672)+E(f441(x5673,x5671),f441(x5673,x5672))
% 40.48/40.63 [568]~E(x5681,x5682)+E(f255(x5681,x5683,x5684,x5685,x5686),f255(x5682,x5683,x5684,x5685,x5686))
% 40.48/40.63 [569]~E(x5691,x5692)+E(f255(x5693,x5691,x5694,x5695,x5696),f255(x5693,x5692,x5694,x5695,x5696))
% 40.48/40.63 [570]~E(x5701,x5702)+E(f255(x5703,x5704,x5701,x5705,x5706),f255(x5703,x5704,x5702,x5705,x5706))
% 40.48/40.63 [571]~E(x5711,x5712)+E(f255(x5713,x5714,x5715,x5711,x5716),f255(x5713,x5714,x5715,x5712,x5716))
% 40.48/40.63 [572]~E(x5721,x5722)+E(f255(x5723,x5724,x5725,x5726,x5721),f255(x5723,x5724,x5725,x5726,x5722))
% 40.48/40.63 [573]~E(x5731,x5732)+E(f137(x5731,x5733),f137(x5732,x5733))
% 40.48/40.63 [574]~E(x5741,x5742)+E(f137(x5743,x5741),f137(x5743,x5742))
% 40.48/40.63 [575]~E(x5751,x5752)+E(f235(x5751,x5753),f235(x5752,x5753))
% 40.48/40.63 [576]~E(x5761,x5762)+E(f235(x5763,x5761),f235(x5763,x5762))
% 40.48/40.63 [577]~E(x5771,x5772)+E(f445(x5771,x5773),f445(x5772,x5773))
% 40.48/40.63 [578]~E(x5781,x5782)+E(f445(x5783,x5781),f445(x5783,x5782))
% 40.48/40.63 [579]~E(x5791,x5792)+E(f451(x5791,x5793),f451(x5792,x5793))
% 40.48/40.63 [580]~E(x5801,x5802)+E(f451(x5803,x5801),f451(x5803,x5802))
% 40.48/40.63 [581]~E(x5811,x5812)+E(f398(x5811,x5813),f398(x5812,x5813))
% 40.48/40.63 [582]~E(x5821,x5822)+E(f398(x5823,x5821),f398(x5823,x5822))
% 40.48/40.63 [583]~E(x5831,x5832)+E(f173(x5831,x5833),f173(x5832,x5833))
% 40.48/40.63 [584]~E(x5841,x5842)+E(f173(x5843,x5841),f173(x5843,x5842))
% 40.48/40.63 [585]~E(x5851,x5852)+E(f423(x5851,x5853),f423(x5852,x5853))
% 40.48/40.63 [586]~E(x5861,x5862)+E(f423(x5863,x5861),f423(x5863,x5862))
% 40.48/40.63 [587]~E(x5871,x5872)+E(f340(x5871,x5873),f340(x5872,x5873))
% 40.48/40.63 [588]~E(x5881,x5882)+E(f340(x5883,x5881),f340(x5883,x5882))
% 40.48/40.63 [589]~E(x5891,x5892)+E(f171(x5891,x5893,x5894),f171(x5892,x5893,x5894))
% 40.48/40.63 [590]~E(x5901,x5902)+E(f171(x5903,x5901,x5904),f171(x5903,x5902,x5904))
% 40.48/40.63 [591]~E(x5911,x5912)+E(f171(x5913,x5914,x5911),f171(x5913,x5914,x5912))
% 40.48/40.63 [592]~E(x5921,x5922)+E(f233(x5921,x5923),f233(x5922,x5923))
% 40.48/40.63 [593]~E(x5931,x5932)+E(f233(x5933,x5931),f233(x5933,x5932))
% 40.48/40.63 [594]~E(x5941,x5942)+E(f224(x5941,x5943),f224(x5942,x5943))
% 40.48/40.63 [595]~E(x5951,x5952)+E(f224(x5953,x5951),f224(x5953,x5952))
% 40.48/40.63 [596]~E(x5961,x5962)+E(f218(x5961),f218(x5962))
% 40.48/40.63 [597]~E(x5971,x5972)+E(f457(x5971,x5973),f457(x5972,x5973))
% 40.48/40.63 [598]~E(x5981,x5982)+E(f457(x5983,x5981),f457(x5983,x5982))
% 40.48/40.63 [599]~E(x5991,x5992)+E(f458(x5991,x5993),f458(x5992,x5993))
% 40.48/40.63 [600]~E(x6001,x6002)+E(f458(x6003,x6001),f458(x6003,x6002))
% 40.48/40.63 [601]~E(x6011,x6012)+E(f348(x6011,x6013),f348(x6012,x6013))
% 40.48/40.63 [602]~E(x6021,x6022)+E(f348(x6023,x6021),f348(x6023,x6022))
% 40.48/40.63 [603]~E(x6031,x6032)+E(f325(x6031,x6033),f325(x6032,x6033))
% 40.48/40.63 [604]~E(x6041,x6042)+E(f325(x6043,x6041),f325(x6043,x6042))
% 40.48/40.63 [605]~E(x6051,x6052)+E(f155(x6051,x6053,x6054,x6055),f155(x6052,x6053,x6054,x6055))
% 40.48/40.63 [606]~E(x6061,x6062)+E(f155(x6063,x6061,x6064,x6065),f155(x6063,x6062,x6064,x6065))
% 40.48/40.63 [607]~E(x6071,x6072)+E(f155(x6073,x6074,x6071,x6075),f155(x6073,x6074,x6072,x6075))
% 40.48/40.63 [608]~E(x6081,x6082)+E(f155(x6083,x6084,x6085,x6081),f155(x6083,x6084,x6085,x6082))
% 40.48/40.63 [609]~E(x6091,x6092)+E(f301(x6091,x6093),f301(x6092,x6093))
% 40.48/40.63 [610]~E(x6101,x6102)+E(f301(x6103,x6101),f301(x6103,x6102))
% 40.48/40.63 [611]~E(x6111,x6112)+E(f249(x6111,x6113),f249(x6112,x6113))
% 40.48/40.63 [612]~E(x6121,x6122)+E(f249(x6123,x6121),f249(x6123,x6122))
% 40.48/40.63 [613]~E(x6131,x6132)+E(f261(x6131,x6133,x6134),f261(x6132,x6133,x6134))
% 40.48/40.63 [614]~E(x6141,x6142)+E(f261(x6143,x6141,x6144),f261(x6143,x6142,x6144))
% 40.48/40.63 [615]~E(x6151,x6152)+E(f261(x6153,x6154,x6151),f261(x6153,x6154,x6152))
% 40.48/40.63 [616]~E(x6161,x6162)+E(f376(x6161,x6163),f376(x6162,x6163))
% 40.48/40.63 [617]~E(x6171,x6172)+E(f376(x6173,x6171),f376(x6173,x6172))
% 40.48/40.63 [618]~E(x6181,x6182)+E(f323(x6181,x6183),f323(x6182,x6183))
% 40.48/40.63 [619]~E(x6191,x6192)+E(f323(x6193,x6191),f323(x6193,x6192))
% 40.48/40.63 [620]~E(x6201,x6202)+E(f454(x6201,x6203),f454(x6202,x6203))
% 40.48/40.63 [621]~E(x6211,x6212)+E(f454(x6213,x6211),f454(x6213,x6212))
% 40.48/40.63 [622]~E(x6221,x6222)+E(f115(x6221,x6223,x6224,x6225),f115(x6222,x6223,x6224,x6225))
% 40.48/40.63 [623]~E(x6231,x6232)+E(f115(x6233,x6231,x6234,x6235),f115(x6233,x6232,x6234,x6235))
% 40.48/40.63 [624]~E(x6241,x6242)+E(f115(x6243,x6244,x6241,x6245),f115(x6243,x6244,x6242,x6245))
% 40.48/40.63 [625]~E(x6251,x6252)+E(f115(x6253,x6254,x6255,x6251),f115(x6253,x6254,x6255,x6252))
% 40.48/40.63 [626]~E(x6261,x6262)+E(f407(x6261,x6263),f407(x6262,x6263))
% 40.48/40.63 [627]~E(x6271,x6272)+E(f407(x6273,x6271),f407(x6273,x6272))
% 40.48/40.63 [628]~E(x6281,x6282)+E(f165(x6281,x6283),f165(x6282,x6283))
% 40.48/40.63 [629]~E(x6291,x6292)+E(f165(x6293,x6291),f165(x6293,x6292))
% 40.48/40.63 [630]~E(x6301,x6302)+E(f253(x6301,x6303,x6304,x6305,x6306),f253(x6302,x6303,x6304,x6305,x6306))
% 40.48/40.63 [631]~E(x6311,x6312)+E(f253(x6313,x6311,x6314,x6315,x6316),f253(x6313,x6312,x6314,x6315,x6316))
% 40.48/40.63 [632]~E(x6321,x6322)+E(f253(x6323,x6324,x6321,x6325,x6326),f253(x6323,x6324,x6322,x6325,x6326))
% 40.48/40.63 [633]~E(x6331,x6332)+E(f253(x6333,x6334,x6335,x6331,x6336),f253(x6333,x6334,x6335,x6332,x6336))
% 40.48/40.63 [634]~E(x6341,x6342)+E(f253(x6343,x6344,x6345,x6346,x6341),f253(x6343,x6344,x6345,x6346,x6342))
% 40.48/40.63 [635]~E(x6351,x6352)+E(f342(x6351,x6353),f342(x6352,x6353))
% 40.48/40.63 [636]~E(x6361,x6362)+E(f342(x6363,x6361),f342(x6363,x6362))
% 40.48/40.63 [637]~E(x6371,x6372)+E(f413(x6371,x6373),f413(x6372,x6373))
% 40.48/40.63 [638]~E(x6381,x6382)+E(f413(x6383,x6381),f413(x6383,x6382))
% 40.48/40.63 [639]~E(x6391,x6392)+E(f213(x6391,x6393),f213(x6392,x6393))
% 40.48/40.63 [640]~E(x6401,x6402)+E(f213(x6403,x6401),f213(x6403,x6402))
% 40.48/40.63 [641]~E(x6411,x6412)+E(f431(x6411,x6413),f431(x6412,x6413))
% 40.48/40.63 [642]~E(x6421,x6422)+E(f431(x6423,x6421),f431(x6423,x6422))
% 40.48/40.63 [643]~E(x6431,x6432)+E(f134(x6431),f134(x6432))
% 40.48/40.63 [644]~E(x6441,x6442)+E(f196(x6441,x6443,x6444),f196(x6442,x6443,x6444))
% 40.48/40.63 [645]~E(x6451,x6452)+E(f196(x6453,x6451,x6454),f196(x6453,x6452,x6454))
% 40.48/40.63 [646]~E(x6461,x6462)+E(f196(x6463,x6464,x6461),f196(x6463,x6464,x6462))
% 40.48/40.63 [647]~E(x6471,x6472)+E(f112(x6471,x6473),f112(x6472,x6473))
% 40.48/40.63 [648]~E(x6481,x6482)+E(f112(x6483,x6481),f112(x6483,x6482))
% 40.48/40.63 [649]~E(x6491,x6492)+E(f351(x6491,x6493),f351(x6492,x6493))
% 40.48/40.63 [650]~E(x6501,x6502)+E(f351(x6503,x6501),f351(x6503,x6502))
% 40.48/40.63 [651]~E(x6511,x6512)+E(f244(x6511,x6513,x6514),f244(x6512,x6513,x6514))
% 40.48/40.63 [652]~E(x6521,x6522)+E(f244(x6523,x6521,x6524),f244(x6523,x6522,x6524))
% 40.48/40.63 [653]~E(x6531,x6532)+E(f244(x6533,x6534,x6531),f244(x6533,x6534,x6532))
% 40.48/40.63 [654]~E(x6541,x6542)+E(f449(x6541,x6543),f449(x6542,x6543))
% 40.48/40.63 [655]~E(x6551,x6552)+E(f449(x6553,x6551),f449(x6553,x6552))
% 40.48/40.63 [656]~E(x6561,x6562)+E(f160(x6561,x6563,x6564,x6565),f160(x6562,x6563,x6564,x6565))
% 40.48/40.63 [657]~E(x6571,x6572)+E(f160(x6573,x6571,x6574,x6575),f160(x6573,x6572,x6574,x6575))
% 40.48/40.63 [658]~E(x6581,x6582)+E(f160(x6583,x6584,x6581,x6585),f160(x6583,x6584,x6582,x6585))
% 40.48/40.63 [659]~E(x6591,x6592)+E(f160(x6593,x6594,x6595,x6591),f160(x6593,x6594,x6595,x6592))
% 40.48/40.63 [660]~E(x6601,x6602)+E(f100(x6601),f100(x6602))
% 40.48/40.63 [661]~E(x6611,x6612)+E(f362(x6611,x6613),f362(x6612,x6613))
% 40.48/40.63 [662]~E(x6621,x6622)+E(f362(x6623,x6621),f362(x6623,x6622))
% 40.48/40.63 [663]~E(x6631,x6632)+E(f29(x6631),f29(x6632))
% 40.48/40.63 [664]~E(x6641,x6642)+E(f414(x6641,x6643),f414(x6642,x6643))
% 40.48/40.63 [665]~E(x6651,x6652)+E(f414(x6653,x6651),f414(x6653,x6652))
% 40.48/40.63 [666]~E(x6661,x6662)+E(f437(x6661,x6663),f437(x6662,x6663))
% 40.48/40.63 [667]~E(x6671,x6672)+E(f437(x6673,x6671),f437(x6673,x6672))
% 40.48/40.63 [668]~E(x6681,x6682)+E(f378(x6681,x6683),f378(x6682,x6683))
% 40.48/40.63 [669]~E(x6691,x6692)+E(f378(x6693,x6691),f378(x6693,x6692))
% 40.48/40.63 [670]~E(x6701,x6702)+E(f223(x6701,x6703),f223(x6702,x6703))
% 40.48/40.63 [671]~E(x6711,x6712)+E(f223(x6713,x6711),f223(x6713,x6712))
% 40.48/40.63 [672]~E(x6721,x6722)+E(f176(x6721,x6723,x6724,x6725),f176(x6722,x6723,x6724,x6725))
% 40.48/40.63 [673]~E(x6731,x6732)+E(f176(x6733,x6731,x6734,x6735),f176(x6733,x6732,x6734,x6735))
% 40.48/40.63 [674]~E(x6741,x6742)+E(f176(x6743,x6744,x6741,x6745),f176(x6743,x6744,x6742,x6745))
% 40.48/40.63 [675]~E(x6751,x6752)+E(f176(x6753,x6754,x6755,x6751),f176(x6753,x6754,x6755,x6752))
% 40.48/40.63 [676]~E(x6761,x6762)+E(f217(x6761),f217(x6762))
% 40.48/40.63 [677]~E(x6771,x6772)+E(f444(x6771,x6773),f444(x6772,x6773))
% 40.48/40.63 [678]~E(x6781,x6782)+E(f444(x6783,x6781),f444(x6783,x6782))
% 40.48/40.63 [679]~E(x6791,x6792)+E(f479(x6791),f479(x6792))
% 40.48/40.63 [680]~E(x6801,x6802)+E(f201(x6801,x6803,x6804),f201(x6802,x6803,x6804))
% 40.48/40.63 [681]~E(x6811,x6812)+E(f201(x6813,x6811,x6814),f201(x6813,x6812,x6814))
% 40.48/40.63 [682]~E(x6821,x6822)+E(f201(x6823,x6824,x6821),f201(x6823,x6824,x6822))
% 40.48/40.63 [683]~E(x6831,x6832)+E(f53(x6831),f53(x6832))
% 40.48/40.63 [684]~E(x6841,x6842)+E(f339(x6841,x6843),f339(x6842,x6843))
% 40.48/40.63 [685]~E(x6851,x6852)+E(f339(x6853,x6851),f339(x6853,x6852))
% 40.48/40.63 [686]~E(x6861,x6862)+E(f118(x6861,x6863,x6864,x6865),f118(x6862,x6863,x6864,x6865))
% 40.48/40.63 [687]~E(x6871,x6872)+E(f118(x6873,x6871,x6874,x6875),f118(x6873,x6872,x6874,x6875))
% 40.48/40.63 [688]~E(x6881,x6882)+E(f118(x6883,x6884,x6881,x6885),f118(x6883,x6884,x6882,x6885))
% 40.48/40.63 [689]~E(x6891,x6892)+E(f118(x6893,x6894,x6895,x6891),f118(x6893,x6894,x6895,x6892))
% 40.48/40.63 [690]~E(x6901,x6902)+E(f525(x6901),f525(x6902))
% 40.48/40.63 [691]~E(x6911,x6912)+E(f133(x6911),f133(x6912))
% 40.48/40.63 [692]~E(x6921,x6922)+E(f130(x6921),f130(x6922))
% 40.48/40.63 [693]~E(x6931,x6932)+E(f182(x6931),f182(x6932))
% 40.48/40.63 [694]~E(x6941,x6942)+E(f257(x6941,x6943,x6944,x6945,x6946),f257(x6942,x6943,x6944,x6945,x6946))
% 40.48/40.63 [695]~E(x6951,x6952)+E(f257(x6953,x6951,x6954,x6955,x6956),f257(x6953,x6952,x6954,x6955,x6956))
% 40.48/40.63 [696]~E(x6961,x6962)+E(f257(x6963,x6964,x6961,x6965,x6966),f257(x6963,x6964,x6962,x6965,x6966))
% 40.48/40.63 [697]~E(x6971,x6972)+E(f257(x6973,x6974,x6975,x6971,x6976),f257(x6973,x6974,x6975,x6972,x6976))
% 40.48/40.63 [698]~E(x6981,x6982)+E(f257(x6983,x6984,x6985,x6986,x6981),f257(x6983,x6984,x6985,x6986,x6982))
% 40.48/40.63 [699]~E(x6991,x6992)+E(f150(x6991),f150(x6992))
% 40.48/40.63 [700]~E(x7001,x7002)+E(f379(x7001,x7003),f379(x7002,x7003))
% 40.48/40.63 [701]~E(x7011,x7012)+E(f379(x7013,x7011),f379(x7013,x7012))
% 40.48/40.63 [702]~E(x7021,x7022)+E(f262(x7021,x7023),f262(x7022,x7023))
% 40.48/40.63 [703]~E(x7031,x7032)+E(f262(x7033,x7031),f262(x7033,x7032))
% 40.48/40.63 [704]~E(x7041,x7042)+E(f143(x7041,x7043),f143(x7042,x7043))
% 40.48/40.63 [705]~E(x7051,x7052)+E(f143(x7053,x7051),f143(x7053,x7052))
% 40.48/40.63 [706]~E(x7061,x7062)+E(f343(x7061,x7063),f343(x7062,x7063))
% 40.48/40.63 [707]~E(x7071,x7072)+E(f343(x7073,x7071),f343(x7073,x7072))
% 40.48/40.63 [708]~E(x7081,x7082)+E(f183(x7081,x7083),f183(x7082,x7083))
% 40.48/40.63 [709]~E(x7091,x7092)+E(f183(x7093,x7091),f183(x7093,x7092))
% 40.48/40.63 [710]~E(x7101,x7102)+E(f388(x7101,x7103),f388(x7102,x7103))
% 40.48/40.63 [711]~E(x7111,x7112)+E(f388(x7113,x7111),f388(x7113,x7112))
% 40.48/40.63 [712]~E(x7121,x7122)+E(f239(x7121),f239(x7122))
% 40.48/40.63 [713]~E(x7131,x7132)+E(f264(x7131),f264(x7132))
% 40.48/40.63 [714]~E(x7141,x7142)+E(f359(x7141,x7143),f359(x7142,x7143))
% 40.48/40.63 [715]~E(x7151,x7152)+E(f359(x7153,x7151),f359(x7153,x7152))
% 40.48/40.63 [716]~E(x7161,x7162)+E(f229(x7161,x7163),f229(x7162,x7163))
% 40.48/40.63 [717]~E(x7171,x7172)+E(f229(x7173,x7171),f229(x7173,x7172))
% 40.48/40.63 [718]~E(x7181,x7182)+E(f256(x7181,x7183),f256(x7182,x7183))
% 40.48/40.63 [719]~E(x7191,x7192)+E(f256(x7193,x7191),f256(x7193,x7192))
% 40.48/40.63 [720]~E(x7201,x7202)+E(f141(x7201,x7203,x7204,x7205),f141(x7202,x7203,x7204,x7205))
% 40.48/40.63 [721]~E(x7211,x7212)+E(f141(x7213,x7211,x7214,x7215),f141(x7213,x7212,x7214,x7215))
% 40.48/40.63 [722]~E(x7221,x7222)+E(f141(x7223,x7224,x7221,x7225),f141(x7223,x7224,x7222,x7225))
% 40.48/40.63 [723]~E(x7231,x7232)+E(f141(x7233,x7234,x7235,x7231),f141(x7233,x7234,x7235,x7232))
% 40.48/40.63 [724]~E(x7241,x7242)+E(f363(x7241,x7243),f363(x7242,x7243))
% 40.48/40.63 [725]~E(x7251,x7252)+E(f363(x7253,x7251),f363(x7253,x7252))
% 40.48/40.63 [726]~E(x7261,x7262)+E(f142(x7261,x7263),f142(x7262,x7263))
% 40.48/40.63 [727]~E(x7271,x7272)+E(f142(x7273,x7271),f142(x7273,x7272))
% 40.48/40.63 [728]~E(x7281,x7282)+E(f234(x7281,x7283),f234(x7282,x7283))
% 40.48/40.63 [729]~E(x7291,x7292)+E(f234(x7293,x7291),f234(x7293,x7292))
% 40.48/40.63 [730]~E(x7301,x7302)+E(f125(x7301,x7303,x7304),f125(x7302,x7303,x7304))
% 40.48/40.63 [731]~E(x7311,x7312)+E(f125(x7313,x7311,x7314),f125(x7313,x7312,x7314))
% 40.48/40.63 [732]~E(x7321,x7322)+E(f125(x7323,x7324,x7321),f125(x7323,x7324,x7322))
% 40.48/40.63 [733]~E(x7331,x7332)+E(f149(x7331),f149(x7332))
% 40.48/40.63 [734]~E(x7341,x7342)+E(f188(x7341,x7343,x7344),f188(x7342,x7343,x7344))
% 40.48/40.63 [735]~E(x7351,x7352)+E(f188(x7353,x7351,x7354),f188(x7353,x7352,x7354))
% 40.48/40.63 [736]~E(x7361,x7362)+E(f188(x7363,x7364,x7361),f188(x7363,x7364,x7362))
% 40.48/40.63 [737]~E(x7371,x7372)+E(f210(x7371,x7373),f210(x7372,x7373))
% 40.48/40.63 [738]~E(x7381,x7382)+E(f210(x7383,x7381),f210(x7383,x7382))
% 40.48/40.63 [739]~E(x7391,x7392)+E(f242(x7391,x7393,x7394),f242(x7392,x7393,x7394))
% 40.48/40.63 [740]~E(x7401,x7402)+E(f242(x7403,x7401,x7404),f242(x7403,x7402,x7404))
% 40.48/40.63 [741]~E(x7411,x7412)+E(f242(x7413,x7414,x7411),f242(x7413,x7414,x7412))
% 40.48/40.63 [742]~E(x7421,x7422)+E(f136(x7421),f136(x7422))
% 40.48/40.63 [743]~E(x7431,x7432)+E(f345(x7431,x7433),f345(x7432,x7433))
% 40.48/40.63 [744]~E(x7441,x7442)+E(f345(x7443,x7441),f345(x7443,x7442))
% 40.48/40.63 [745]~E(x7451,x7452)+E(f169(x7451,x7453,x7454,x7455),f169(x7452,x7453,x7454,x7455))
% 40.48/40.63 [746]~E(x7461,x7462)+E(f169(x7463,x7461,x7464,x7465),f169(x7463,x7462,x7464,x7465))
% 40.48/40.63 [747]~E(x7471,x7472)+E(f169(x7473,x7474,x7471,x7475),f169(x7473,x7474,x7472,x7475))
% 40.48/40.63 [748]~E(x7481,x7482)+E(f169(x7483,x7484,x7485,x7481),f169(x7483,x7484,x7485,x7482))
% 40.48/40.63 [749]~E(x7491,x7492)+E(f154(x7491,x7493,x7494,x7495),f154(x7492,x7493,x7494,x7495))
% 40.48/40.63 [750]~E(x7501,x7502)+E(f154(x7503,x7501,x7504,x7505),f154(x7503,x7502,x7504,x7505))
% 40.48/40.63 [751]~E(x7511,x7512)+E(f154(x7513,x7514,x7511,x7515),f154(x7513,x7514,x7512,x7515))
% 40.48/40.63 [752]~E(x7521,x7522)+E(f154(x7523,x7524,x7525,x7521),f154(x7523,x7524,x7525,x7522))
% 40.48/40.63 [753]~E(x7531,x7532)+E(f482(x7531),f482(x7532))
% 40.48/40.63 [754]~E(x7541,x7542)+E(f350(x7541,x7543),f350(x7542,x7543))
% 40.48/40.63 [755]~E(x7551,x7552)+E(f350(x7553,x7551),f350(x7553,x7552))
% 40.48/40.63 [756]~E(x7561,x7562)+E(f424(x7561,x7563),f424(x7562,x7563))
% 40.48/40.63 [757]~E(x7571,x7572)+E(f424(x7573,x7571),f424(x7573,x7572))
% 40.48/40.63 [758]~E(x7581,x7582)+E(f349(x7581,x7583),f349(x7582,x7583))
% 40.48/40.63 [759]~E(x7591,x7592)+E(f349(x7593,x7591),f349(x7593,x7592))
% 40.48/40.63 [760]~E(x7601,x7602)+E(f311(x7601,x7603),f311(x7602,x7603))
% 40.48/40.63 [761]~E(x7611,x7612)+E(f311(x7613,x7611),f311(x7613,x7612))
% 40.48/40.63 [762]~E(x7621,x7622)+E(f226(x7621,x7623),f226(x7622,x7623))
% 40.48/40.63 [763]~E(x7631,x7632)+E(f226(x7633,x7631),f226(x7633,x7632))
% 40.48/40.63 [764]~E(x7641,x7642)+E(f250(x7641,x7643,x7644,x7645),f250(x7642,x7643,x7644,x7645))
% 40.48/40.63 [765]~E(x7651,x7652)+E(f250(x7653,x7651,x7654,x7655),f250(x7653,x7652,x7654,x7655))
% 40.48/40.63 [766]~E(x7661,x7662)+E(f250(x7663,x7664,x7661,x7665),f250(x7663,x7664,x7662,x7665))
% 40.48/40.63 [767]~E(x7671,x7672)+E(f250(x7673,x7674,x7675,x7671),f250(x7673,x7674,x7675,x7672))
% 40.48/40.63 [768]~E(x7681,x7682)+E(f252(x7681,x7683,x7684,x7685),f252(x7682,x7683,x7684,x7685))
% 40.48/40.63 [769]~E(x7691,x7692)+E(f252(x7693,x7691,x7694,x7695),f252(x7693,x7692,x7694,x7695))
% 40.48/40.63 [770]~E(x7701,x7702)+E(f252(x7703,x7704,x7701,x7705),f252(x7703,x7704,x7702,x7705))
% 40.48/40.63 [771]~E(x7711,x7712)+E(f252(x7713,x7714,x7715,x7711),f252(x7713,x7714,x7715,x7712))
% 40.48/40.63 [772]~E(x7721,x7722)+E(f131(x7721),f131(x7722))
% 40.48/40.63 [773]~E(x7731,x7732)+E(f377(x7731,x7733),f377(x7732,x7733))
% 40.48/40.63 [774]~E(x7741,x7742)+E(f377(x7743,x7741),f377(x7743,x7742))
% 40.48/40.63 [775]~E(x7751,x7752)+E(f166(x7751,x7753),f166(x7752,x7753))
% 40.48/40.63 [776]~E(x7761,x7762)+E(f166(x7763,x7761),f166(x7763,x7762))
% 40.48/40.63 [777]~E(x7771,x7772)+E(f417(x7771,x7773),f417(x7772,x7773))
% 40.48/40.63 [778]~E(x7781,x7782)+E(f417(x7783,x7781),f417(x7783,x7782))
% 40.48/40.63 [779]~E(x7791,x7792)+E(f438(x7791,x7793),f438(x7792,x7793))
% 40.48/40.63 [780]~E(x7801,x7802)+E(f438(x7803,x7801),f438(x7803,x7802))
% 40.48/40.63 [781]~E(x7811,x7812)+E(f124(x7811,x7813,x7814),f124(x7812,x7813,x7814))
% 40.48/40.63 [782]~E(x7821,x7822)+E(f124(x7823,x7821,x7824),f124(x7823,x7822,x7824))
% 40.48/40.63 [783]~E(x7831,x7832)+E(f124(x7833,x7834,x7831),f124(x7833,x7834,x7832))
% 40.48/40.63 [784]~E(x7841,x7842)+E(f344(x7841,x7843),f344(x7842,x7843))
% 40.48/40.63 [785]~E(x7851,x7852)+E(f344(x7853,x7851),f344(x7853,x7852))
% 40.48/40.63 [786]~E(x7861,x7862)+E(f422(x7861,x7863),f422(x7862,x7863))
% 40.48/40.63 [787]~E(x7871,x7872)+E(f422(x7873,x7871),f422(x7873,x7872))
% 40.48/40.63 [788]~E(x7881,x7882)+E(f156(x7881,x7883,x7884,x7885),f156(x7882,x7883,x7884,x7885))
% 40.48/40.63 [789]~E(x7891,x7892)+E(f156(x7893,x7891,x7894,x7895),f156(x7893,x7892,x7894,x7895))
% 40.48/40.63 [790]~E(x7901,x7902)+E(f156(x7903,x7904,x7901,x7905),f156(x7903,x7904,x7902,x7905))
% 40.48/40.63 [791]~E(x7911,x7912)+E(f156(x7913,x7914,x7915,x7911),f156(x7913,x7914,x7915,x7912))
% 40.48/40.63 [792]~E(x7921,x7922)+E(f98(x7921),f98(x7922))
% 40.48/40.63 [793]~E(x7931,x7932)+E(f151(x7931,x7933),f151(x7932,x7933))
% 40.48/40.63 [794]~E(x7941,x7942)+E(f151(x7943,x7941),f151(x7943,x7942))
% 40.48/40.63 [795]~E(x7951,x7952)+E(f113(x7951,x7953,x7954,x7955),f113(x7952,x7953,x7954,x7955))
% 40.48/40.63 [796]~E(x7961,x7962)+E(f113(x7963,x7961,x7964,x7965),f113(x7963,x7962,x7964,x7965))
% 40.48/40.63 [797]~E(x7971,x7972)+E(f113(x7973,x7974,x7971,x7975),f113(x7973,x7974,x7972,x7975))
% 40.48/40.63 [798]~E(x7981,x7982)+E(f113(x7983,x7984,x7985,x7981),f113(x7983,x7984,x7985,x7982))
% 40.48/40.63 [799]~E(x7991,x7992)+E(f138(x7991,x7993),f138(x7992,x7993))
% 40.48/40.63 [800]~E(x8001,x8002)+E(f138(x8003,x8001),f138(x8003,x8002))
% 40.48/40.63 [801]~E(x8011,x8012)+E(f410(x8011,x8013),f410(x8012,x8013))
% 40.48/40.63 [802]~E(x8021,x8022)+E(f410(x8023,x8021),f410(x8023,x8022))
% 40.48/40.63 [803]~E(x8031,x8032)+E(f236(x8031,x8033,x8034),f236(x8032,x8033,x8034))
% 40.48/40.63 [804]~E(x8041,x8042)+E(f236(x8043,x8041,x8044),f236(x8043,x8042,x8044))
% 40.48/40.63 [805]~E(x8051,x8052)+E(f236(x8053,x8054,x8051),f236(x8053,x8054,x8052))
% 40.48/40.63 [806]~E(x8061,x8062)+E(f190(x8061,x8063,x8064),f190(x8062,x8063,x8064))
% 40.48/40.63 [807]~E(x8071,x8072)+E(f190(x8073,x8071,x8074),f190(x8073,x8072,x8074))
% 40.48/40.63 [808]~E(x8081,x8082)+E(f190(x8083,x8084,x8081),f190(x8083,x8084,x8082))
% 40.48/40.63 [809]~E(x8091,x8092)+E(f246(x8091,x8093),f246(x8092,x8093))
% 40.48/40.63 [810]~E(x8101,x8102)+E(f246(x8103,x8101),f246(x8103,x8102))
% 40.48/40.63 [811]~E(x8111,x8112)+E(f194(x8111),f194(x8112))
% 40.48/40.63 [812]~E(x8121,x8122)+E(f116(x8121,x8123,x8124,x8125),f116(x8122,x8123,x8124,x8125))
% 40.48/40.63 [813]~E(x8131,x8132)+E(f116(x8133,x8131,x8134,x8135),f116(x8133,x8132,x8134,x8135))
% 40.48/40.63 [814]~E(x8141,x8142)+E(f116(x8143,x8144,x8141,x8145),f116(x8143,x8144,x8142,x8145))
% 40.48/40.63 [815]~E(x8151,x8152)+E(f116(x8153,x8154,x8155,x8151),f116(x8153,x8154,x8155,x8152))
% 40.48/40.63 [816]~E(x8161,x8162)+E(f107(x8161,x8163),f107(x8162,x8163))
% 40.48/40.63 [817]~E(x8171,x8172)+E(f107(x8173,x8171),f107(x8173,x8172))
% 40.48/40.63 [818]~E(x8181,x8182)+E(f411(x8181,x8183),f411(x8182,x8183))
% 40.48/40.63 [819]~E(x8191,x8192)+E(f411(x8193,x8191),f411(x8193,x8192))
% 40.48/40.63 [820]~E(x8201,x8202)+E(f158(x8201,x8203,x8204,x8205),f158(x8202,x8203,x8204,x8205))
% 40.48/40.63 [821]~E(x8211,x8212)+E(f158(x8213,x8211,x8214,x8215),f158(x8213,x8212,x8214,x8215))
% 40.48/40.63 [822]~E(x8221,x8222)+E(f158(x8223,x8224,x8221,x8225),f158(x8223,x8224,x8222,x8225))
% 40.48/40.63 [823]~E(x8231,x8232)+E(f158(x8233,x8234,x8235,x8231),f158(x8233,x8234,x8235,x8232))
% 40.48/40.63 [824]~E(x8241,x8242)+E(f163(x8241,x8243,x8244,x8245),f163(x8242,x8243,x8244,x8245))
% 40.48/40.63 [825]~E(x8251,x8252)+E(f163(x8253,x8251,x8254,x8255),f163(x8253,x8252,x8254,x8255))
% 40.48/40.63 [826]~E(x8261,x8262)+E(f163(x8263,x8264,x8261,x8265),f163(x8263,x8264,x8262,x8265))
% 40.48/40.63 [827]~E(x8271,x8272)+E(f163(x8273,x8274,x8275,x8271),f163(x8273,x8274,x8275,x8272))
% 40.48/40.63 [828]~E(x8281,x8282)+E(f152(x8281),f152(x8282))
% 40.48/40.63 [829]~E(x8291,x8292)+E(f238(x8291),f238(x8292))
% 40.48/40.63 [830]~E(x8301,x8302)+E(f193(x8301),f193(x8302))
% 40.48/40.63 [831]~E(x8311,x8312)+E(f153(x8311,x8313,x8314),f153(x8312,x8313,x8314))
% 40.48/40.63 [832]~E(x8321,x8322)+E(f153(x8323,x8321,x8324),f153(x8323,x8322,x8324))
% 40.48/40.63 [833]~E(x8331,x8332)+E(f153(x8333,x8334,x8331),f153(x8333,x8334,x8332))
% 40.48/40.63 [834]~E(x8341,x8342)+E(f129(x8341),f129(x8342))
% 40.48/40.63 [835]~E(x8351,x8352)+E(f184(x8351),f184(x8352))
% 40.48/40.63 [836]~E(x8361,x8362)+E(f374(x8361,x8363),f374(x8362,x8363))
% 40.48/40.63 [837]~E(x8371,x8372)+E(f374(x8373,x8371),f374(x8373,x8372))
% 40.48/40.63 [838]~P1(x8381)+P1(x8382)+~E(x8381,x8382)
% 40.48/40.63 [839]~P2(x8391)+P2(x8392)+~E(x8391,x8392)
% 40.48/40.63 [840]~P4(x8401)+P4(x8402)+~E(x8401,x8402)
% 40.48/40.63 [841]~P3(x8411)+P3(x8412)+~E(x8411,x8412)
% 40.48/40.63 [842]~P5(x8421)+P5(x8422)+~E(x8421,x8422)
% 40.48/40.63 [843]~P6(x8431)+P6(x8432)+~E(x8431,x8432)
% 40.48/40.63
% 40.48/40.63 %-------------------------------------------
% 40.68/40.66 cnf(2134,plain,
% 40.68/40.66 (E(f502(a526),f425(a6,a462))),
% 40.68/40.66 inference(scs_inference,[],[859,2])).
% 40.68/40.66 cnf(2135,plain,
% 40.68/40.66 (~E(f133(x21351),x21351)),
% 40.68/40.66 inference(scs_inference,[],[854,859,2,1162])).
% 40.68/40.66 cnf(2137,plain,
% 40.68/40.66 (E(f404(f314(f366(a460,f98(x21371)),f129(x21371)),f130(x21371)),x21371)),
% 40.68/40.66 inference(rename_variables,[],[1009])).
% 40.68/40.66 cnf(2140,plain,
% 40.68/40.66 (E(f404(f314(f366(a460,f98(x21401)),f129(x21401)),f130(x21401)),x21401)),
% 40.68/40.66 inference(rename_variables,[],[1009])).
% 40.68/40.66 cnf(2149,plain,
% 40.68/40.66 (~P2(f352(f78(a11),x21491))),
% 40.68/40.66 inference(scs_inference,[],[854,859,863,1040,1055,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259])).
% 40.68/40.66 cnf(2151,plain,
% 40.68/40.66 (~P2(f295(f17(a11),x21511))),
% 40.68/40.66 inference(scs_inference,[],[854,859,862,863,1040,1055,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258])).
% 40.68/40.66 cnf(2154,plain,
% 40.68/40.66 (P2(f352(f415(a487,x21541),f291(f303(a473,x21542),x21541)))),
% 40.68/40.66 inference(rename_variables,[],[1048])).
% 40.68/40.66 cnf(2157,plain,
% 40.68/40.66 (P2(f352(f415(a487,x21571),f291(f303(a473,x21572),x21571)))),
% 40.68/40.66 inference(rename_variables,[],[1048])).
% 40.68/40.66 cnf(2160,plain,
% 40.68/40.66 (P2(f352(f415(a487,x21601),f291(f303(a473,x21602),x21601)))),
% 40.68/40.66 inference(rename_variables,[],[1048])).
% 40.68/40.66 cnf(2163,plain,
% 40.68/40.66 (P2(f352(f415(a487,x21631),f291(f303(a473,x21632),x21631)))),
% 40.68/40.66 inference(rename_variables,[],[1048])).
% 40.68/40.66 cnf(2166,plain,
% 40.68/40.66 (P2(f316(f393(a486,x21661),f367(f447(a472,x21662),x21661)))),
% 40.68/40.66 inference(rename_variables,[],[1041])).
% 40.68/40.66 cnf(2169,plain,
% 40.68/40.66 (P2(f316(f393(a486,x21691),f367(f447(a472,x21692),x21691)))),
% 40.68/40.66 inference(rename_variables,[],[1041])).
% 40.68/40.66 cnf(2172,plain,
% 40.68/40.66 (P2(f316(f393(a486,x21721),f367(f447(a472,x21722),x21721)))),
% 40.68/40.66 inference(rename_variables,[],[1041])).
% 40.68/40.66 cnf(2175,plain,
% 40.68/40.66 (P2(f316(f393(a486,x21751),f367(f447(a472,x21752),x21751)))),
% 40.68/40.66 inference(rename_variables,[],[1041])).
% 40.68/40.66 cnf(2177,plain,
% 40.68/40.66 (~P2(f352(f464(f401(f470(f354(f46(a466),a9)),f12(a6))),f291(f303(a473,f313(a466,a526)),x21771)))),
% 40.68/40.66 inference(scs_inference,[],[1156,854,859,862,863,1040,1041,2166,2169,2172,1048,2154,2157,2160,1055,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817])).
% 40.68/40.66 cnf(2179,plain,
% 40.68/40.66 (P2(f352(f415(a487,f291(f335(a509,x21791),f291(f335(a509,x21792),x21793))),x21792))),
% 40.68/40.66 inference(scs_inference,[],[1156,854,859,862,863,1040,1041,2166,2169,2172,1048,2154,2157,2160,1055,1089,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783])).
% 40.68/40.66 cnf(2180,plain,
% 40.68/40.66 (P2(f352(f415(a487,f291(f335(a509,x21801),x21802)),x21802))),
% 40.68/40.66 inference(rename_variables,[],[1089])).
% 40.68/40.66 cnf(2183,plain,
% 40.68/40.66 (P2(f352(f415(a487,f291(f335(a509,x21831),x21832)),x21832))),
% 40.68/40.66 inference(rename_variables,[],[1089])).
% 40.68/40.66 cnf(2186,plain,
% 40.68/40.66 (P2(f316(f393(a486,f367(f318(a504,x21861),x21862)),x21862))),
% 40.68/40.66 inference(rename_variables,[],[1083])).
% 40.68/40.66 cnf(2189,plain,
% 40.68/40.66 (P2(f316(f393(a486,f367(f318(a504,x21891),x21892)),x21892))),
% 40.68/40.66 inference(rename_variables,[],[1083])).
% 40.68/40.66 cnf(2203,plain,
% 40.68/40.66 (P2(f295(f291(f303(a473,x22031),x22032),x22031))),
% 40.68/40.66 inference(scs_inference,[],[1156,854,859,862,863,1103,1040,1041,2166,2169,2172,1048,2154,2157,2160,1055,1083,2186,1089,2180,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392])).
% 40.68/40.66 cnf(2205,plain,
% 40.68/40.66 (P2(f450(f367(f447(a472,x22051),x22052),x22051))),
% 40.68/40.66 inference(scs_inference,[],[1156,854,859,862,863,1103,1040,1041,2166,2169,2172,1048,2154,2157,2160,1055,1083,2186,1089,2180,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391])).
% 40.68/40.66 cnf(2207,plain,
% 40.68/40.66 (~P2(f295(a270,f313(a466,a526)))),
% 40.68/40.66 inference(scs_inference,[],[1156,854,859,862,863,1155,1103,1040,1041,2166,2169,2172,1048,2154,2157,2160,1055,1083,2186,1089,2180,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346])).
% 40.68/40.66 cnf(2209,plain,
% 40.68/40.66 (~P2(f450(a4,x22091))),
% 40.68/40.66 inference(scs_inference,[],[1156,854,859,862,863,1155,1103,1152,1040,1041,2166,2169,2172,1048,2154,2157,2160,1055,1083,2186,1089,2180,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345])).
% 40.68/40.66 cnf(2242,plain,
% 40.68/40.66 (~P2(f316(f443(a488,x22421),a4))),
% 40.68/40.66 inference(rename_variables,[],[1152])).
% 40.68/40.66 cnf(2253,plain,
% 40.68/40.66 (E(f291(a13,x22531),x22531)),
% 40.68/40.66 inference(rename_variables,[],[857])).
% 40.68/40.66 cnf(2259,plain,
% 40.68/40.66 (E(f291(a13,x22591),x22591)),
% 40.68/40.66 inference(rename_variables,[],[857])).
% 40.68/40.66 cnf(2262,plain,
% 40.68/40.66 (E(f291(a13,x22621),x22621)),
% 40.68/40.66 inference(rename_variables,[],[857])).
% 40.68/40.66 cnf(2269,plain,
% 40.68/40.66 (P2(f352(f415(a487,x22691),x22691))),
% 40.68/40.66 inference(rename_variables,[],[936])).
% 40.68/40.66 cnf(2272,plain,
% 40.68/40.66 (P2(f352(f415(a487,x22721),x22721))),
% 40.68/40.66 inference(rename_variables,[],[936])).
% 40.68/40.66 cnf(2275,plain,
% 40.68/40.66 (P2(f352(f415(a487,x22751),x22751))),
% 40.68/40.66 inference(rename_variables,[],[936])).
% 40.68/40.66 cnf(2278,plain,
% 40.68/40.66 (P2(f316(f393(a486,x22781),x22781))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2281,plain,
% 40.68/40.66 (P2(f316(f393(a486,x22811),x22811))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2284,plain,
% 40.68/40.66 (P2(f316(f393(a486,x22841),x22841))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2287,plain,
% 40.68/40.66 (P2(f316(f393(a486,x22871),x22871))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2290,plain,
% 40.68/40.66 (P2(f352(f415(a487,f291(f335(a509,x22901),x22902)),x22902))),
% 40.68/40.66 inference(rename_variables,[],[1089])).
% 40.68/40.66 cnf(2292,plain,
% 40.68/40.66 (P2(f316(a268,f367(f318(a504,x22921),a4)))),
% 40.68/40.66 inference(scs_inference,[],[1156,849,852,854,870,871,873,874,859,860,861,862,863,1155,1103,857,2253,2259,884,892,896,934,2278,2281,2284,936,2269,2272,1152,1040,1041,2166,2169,2172,1048,2154,2157,2160,1055,1083,2186,2189,1089,2180,2183,946,950,951,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441])).
% 40.68/40.66 cnf(2293,plain,
% 40.68/40.66 (P2(f316(f393(a486,f367(f318(a504,x22931),x22932)),x22932))),
% 40.68/40.66 inference(rename_variables,[],[1083])).
% 40.68/40.66 cnf(2296,plain,
% 40.68/40.66 (E(f291(a13,x22961),x22961)),
% 40.68/40.66 inference(rename_variables,[],[857])).
% 40.68/40.66 cnf(2302,plain,
% 40.68/40.66 (P2(f352(f415(a487,x23021),f291(f303(a473,x23022),x23021)))),
% 40.68/40.66 inference(rename_variables,[],[1048])).
% 40.68/40.66 cnf(2305,plain,
% 40.68/40.66 (P2(f352(f415(a487,x23051),f291(f303(a473,x23052),x23051)))),
% 40.68/40.66 inference(rename_variables,[],[1048])).
% 40.68/40.66 cnf(2308,plain,
% 40.68/40.66 (P2(f352(f415(a487,a7),x23081))),
% 40.68/40.66 inference(rename_variables,[],[924])).
% 40.68/40.66 cnf(2311,plain,
% 40.68/40.66 (P2(f352(f415(a487,a7),x23111))),
% 40.68/40.66 inference(rename_variables,[],[924])).
% 40.68/40.66 cnf(2314,plain,
% 40.68/40.66 (P2(f316(f393(a486,x23141),f367(f447(a472,x23142),x23141)))),
% 40.68/40.66 inference(rename_variables,[],[1041])).
% 40.68/40.66 cnf(2317,plain,
% 40.68/40.66 (P2(f316(f393(a486,x23171),x23171))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2320,plain,
% 40.68/40.66 (P2(f316(f393(a486,f367(f318(a504,x23201),x23202)),x23202))),
% 40.68/40.66 inference(rename_variables,[],[1083])).
% 40.68/40.66 cnf(2326,plain,
% 40.68/40.66 (~E(f291(f303(a473,x23261),x23262),a7)),
% 40.68/40.66 inference(rename_variables,[],[1150])).
% 40.68/40.66 cnf(2329,plain,
% 40.68/40.66 (~P2(f352(f300(a489,x23291),a7))),
% 40.68/40.66 inference(rename_variables,[],[1154])).
% 40.68/40.66 cnf(2331,plain,
% 40.68/40.66 (E(f293(f463(x23311),f153(f293(f463(x23311),x23312),x23311,x23312)),f293(f463(x23311),x23312))),
% 40.68/40.66 inference(scs_inference,[],[1156,849,852,854,870,871,873,874,859,860,861,862,863,1155,1103,857,2253,2259,2262,884,892,894,896,1150,934,2278,2281,2284,2287,2317,936,2269,2272,924,2308,1152,2242,1154,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719])).
% 40.68/40.66 cnf(2332,plain,
% 40.68/40.66 (P2(f316(f393(a486,x23321),x23321))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2333,plain,
% 40.68/40.66 (P3(f293(x23331,x23332))),
% 40.68/40.66 inference(rename_variables,[],[894])).
% 40.68/40.66 cnf(2336,plain,
% 40.68/40.66 (P2(f352(f415(a487,x23361),x23361))),
% 40.68/40.66 inference(rename_variables,[],[936])).
% 40.68/40.66 cnf(2339,plain,
% 40.68/40.66 (P2(f352(f415(a487,x23391),x23391))),
% 40.68/40.66 inference(rename_variables,[],[936])).
% 40.68/40.66 cnf(2344,plain,
% 40.68/40.66 (P2(f352(f415(a487,x23441),x23441))),
% 40.68/40.66 inference(rename_variables,[],[936])).
% 40.68/40.66 cnf(2351,plain,
% 40.68/40.66 (P2(f352(f415(a487,x23511),x23511))),
% 40.68/40.66 inference(rename_variables,[],[936])).
% 40.68/40.66 cnf(2357,plain,
% 40.68/40.66 (~P2(f316(f443(a488,x23571),a4))),
% 40.68/40.66 inference(rename_variables,[],[1152])).
% 40.68/40.66 cnf(2361,plain,
% 40.68/40.66 (~P2(f294(a527,a526))),
% 40.68/40.66 inference(scs_inference,[],[1156,849,852,853,854,870,871,872,873,874,859,860,861,862,863,1155,1103,857,2253,2259,2262,884,892,894,896,1150,934,2278,2281,2284,2287,2317,936,2269,2272,2275,2336,2339,2344,2351,924,2308,1152,2242,1154,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749])).
% 40.68/40.66 cnf(2363,plain,
% 40.68/40.66 (~E(f291(f335(a509,f291(f303(a473,f291(f335(a512,x23631),x23631)),x23632)),f291(f303(a473,f291(f335(a512,x23631),x23631)),x23632)),a7)),
% 40.68/40.66 inference(scs_inference,[],[1156,849,852,853,854,870,871,872,873,874,859,860,861,862,863,1155,1103,857,2253,2259,2262,884,892,894,896,1150,934,2278,2281,2284,2287,2317,936,2269,2272,2275,2336,2339,2344,2351,924,2308,1152,2242,1154,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582])).
% 40.68/40.66 cnf(2365,plain,
% 40.68/40.66 (P2(f352(f300(a489,x23651),f291(f303(a473,x23651),x23652)))),
% 40.68/40.66 inference(rename_variables,[],[1055])).
% 40.68/40.66 cnf(2369,plain,
% 40.68/40.66 (P2(f316(f393(a486,x23691),x23691))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2370,plain,
% 40.68/40.66 (P3(f384(x23701,x23702))),
% 40.68/40.66 inference(rename_variables,[],[895])).
% 40.68/40.66 cnf(2372,plain,
% 40.68/40.66 (P2(f355(a271,f198(x23721,x23722,a4)))),
% 40.68/40.66 inference(scs_inference,[],[1156,849,852,853,854,870,871,872,873,874,859,860,861,862,863,1155,1103,857,2253,2259,2262,884,892,894,895,896,1150,934,2278,2281,2284,2287,2317,2332,936,2269,2272,2275,2336,2339,2344,2351,922,924,2308,1152,2242,1154,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868])).
% 40.68/40.66 cnf(2373,plain,
% 40.68/40.66 (P2(f316(f393(a486,a4),x23731))),
% 40.68/40.66 inference(rename_variables,[],[922])).
% 40.68/40.66 cnf(2376,plain,
% 40.68/40.66 (P2(f316(f393(a486,x23761),x23761))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2377,plain,
% 40.68/40.66 (P3(f293(x23771,x23772))),
% 40.68/40.66 inference(rename_variables,[],[894])).
% 40.68/40.66 cnf(2380,plain,
% 40.68/40.66 (P2(f316(f393(a486,a4),x23801))),
% 40.68/40.66 inference(rename_variables,[],[922])).
% 40.68/40.66 cnf(2382,plain,
% 40.68/40.66 (P4(f198(x23821,x23822,a4))),
% 40.68/40.66 inference(scs_inference,[],[1156,849,852,853,854,870,871,872,873,874,859,860,861,862,863,1155,1103,857,2253,2259,2262,884,892,894,2333,895,896,1150,934,2278,2281,2284,2287,2317,2332,2369,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,924,2308,1152,2242,1154,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742])).
% 40.68/40.66 cnf(2383,plain,
% 40.68/40.66 (P2(f316(f393(a486,a4),x23831))),
% 40.68/40.66 inference(rename_variables,[],[922])).
% 40.68/40.66 cnf(2386,plain,
% 40.68/40.66 (P2(f316(f393(a486,a4),x23861))),
% 40.68/40.66 inference(rename_variables,[],[922])).
% 40.68/40.66 cnf(2389,plain,
% 40.68/40.66 (P2(f316(f393(a486,x23891),x23891))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2393,plain,
% 40.68/40.66 (P2(f316(f393(a486,a4),x23931))),
% 40.68/40.66 inference(rename_variables,[],[922])).
% 40.68/40.66 cnf(2396,plain,
% 40.68/40.66 (P2(f316(f393(a486,x23961),x23961))),
% 40.68/40.66 inference(rename_variables,[],[934])).
% 40.68/40.66 cnf(2397,plain,
% 40.68/40.66 (P3(f293(x23971,x23972))),
% 40.68/40.66 inference(rename_variables,[],[894])).
% 40.68/40.66 cnf(2400,plain,
% 40.68/40.66 (P2(f316(f393(a486,a4),x24001))),
% 40.68/40.66 inference(rename_variables,[],[922])).
% 40.68/40.66 cnf(2403,plain,
% 40.68/40.66 (~P2(f352(f300(a489,x24031),a7))),
% 40.68/40.66 inference(rename_variables,[],[1154])).
% 40.68/40.66 cnf(2406,plain,
% 40.68/40.66 (~P2(f352(f300(a489,x24061),a7))),
% 40.68/40.66 inference(rename_variables,[],[1154])).
% 40.68/40.66 cnf(2409,plain,
% 40.68/40.66 (~P2(f352(f300(a489,x24091),a7))),
% 40.68/40.66 inference(rename_variables,[],[1154])).
% 40.68/40.66 cnf(2418,plain,
% 40.68/40.66 (~P2(f352(f300(a489,x24181),f291(a13,f17(a11))))),
% 40.68/40.66 inference(scs_inference,[],[1156,849,852,853,854,870,871,872,873,874,859,860,861,862,863,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1150,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340])).
% 40.68/40.66 cnf(2430,plain,
% 40.68/40.66 (P2(f312(f310(a281,x24301),a1))),
% 40.68/40.66 inference(scs_inference,[],[1156,849,852,853,854,870,871,872,873,874,859,860,861,862,863,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296])).
% 40.68/40.66 cnf(2458,plain,
% 40.68/40.66 (P3(f367(x24581,a4))),
% 40.68/40.66 inference(scs_inference,[],[1156,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203])).
% 40.68/40.66 cnf(2466,plain,
% 40.68/40.66 (~E(f293(f463(x24661),f291(f303(a473,x24662),x24663)),a4)),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196])).
% 40.68/40.66 cnf(2494,plain,
% 40.68/40.66 (P3(f514(f519(a462)))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165])).
% 40.68/40.66 cnf(3300,plain,
% 40.68/40.66 (E(f435(f425(a6,a462),x33001),f435(f502(a526),x33001))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35])).
% 40.68/40.66 cnf(3332,plain,
% 40.68/40.66 (P2(f369(a287,f292(a14,f292(f361(a86,f396(f43(a277),f78(a11))),x33321))))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009])).
% 40.68/40.66 cnf(3376,plain,
% 40.68/40.66 (P2(f352(a269,f291(f303(a473,x33761),a7)))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475])).
% 40.68/40.66 cnf(3380,plain,
% 40.68/40.66 (P2(f316(a268,f367(f318(a504,a4),x33801)))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472])).
% 40.68/40.66 cnf(3384,plain,
% 40.68/40.66 (P2(f316(a268,f367(f447(a472,x33841),a4)))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470])).
% 40.68/40.66 cnf(3390,plain,
% 40.68/40.66 (~P2(f294(a527,f506(a526,x33901)))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397])).
% 40.68/40.66 cnf(3473,plain,
% 40.68/40.66 (P2(f295(f291(f303(a473,f313(a466,a526)),a270),f238(f291(f303(a473,f313(a466,a526)),a270))))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232])).
% 40.68/40.66 cnf(3475,plain,
% 40.68/40.66 (~P2(f352(f415(a487,f291(f327(a70,a489),f291(f303(a473,x34751),a7))),f291(f327(a70,a489),a7)))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,924,2308,1152,2242,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972])).
% 40.68/40.66 cnf(3493,plain,
% 40.68/40.66 (~P2(f369(f324(a491,f291(f303(a473,f313(a466,a526)),a7)),f292(f346(a507,x34931),f292(a14,f464(f401(f470(f354(f46(a466),a9)),f12(a6)))))))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855])).
% 40.68/40.66 cnf(3495,plain,
% 40.68/40.66 (~P2(f355(f400(a490,a4),f368(f382(a505,x34951),f368(a93,f443(a488,x34952)))))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854])).
% 40.68/40.66 cnf(3505,plain,
% 40.68/40.66 (P2(f316(f393(a486,f367(f318(a504,a4),x35051)),x35052))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841])).
% 40.68/40.66 cnf(3525,plain,
% 40.68/40.66 (~P2(f352(f300(a489,f313(a466,a526)),f291(f335(a494,a270),x35251)))),
% 40.68/40.66 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790])).
% 40.68/40.67 cnf(3531,plain,
% 40.68/40.67 (~P2(f316(f443(a488,x35311),f367(f318(a493,a4),x35312)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775])).
% 40.68/40.67 cnf(3533,plain,
% 40.68/40.67 (~P2(f316(f443(a488,x35331),f367(f318(a504,a4),x35332)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774])).
% 40.68/40.67 cnf(3537,plain,
% 40.68/40.67 (P2(f352(f300(a489,f435(x35371,x35372)),f401(f470(x35371),f367(f447(a472,x35372),x35373))))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721])).
% 40.68/40.67 cnf(3539,plain,
% 40.68/40.67 (P2(f316(f443(a488,f297(x35391,x35392)),f293(f463(x35391),f291(f303(a473,x35392),x35393))))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,1089,2180,2183,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720])).
% 40.68/40.67 cnf(3563,plain,
% 40.68/40.67 (P2(f316(f443(a488,x35631),f367(f318(a513,f367(f447(a472,x35631),x35632)),x35633)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644])).
% 40.68/40.67 cnf(3577,plain,
% 40.68/40.67 (P2(f316(f443(a488,a462),f12(a6)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333])).
% 40.68/40.67 cnf(3604,plain,
% 40.68/40.67 (P2(f355(f399(a498,f368(a93,x36041)),f368(a93,f393(a486,a4))))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665])).
% 40.68/40.67 cnf(3611,plain,
% 40.68/40.67 (P2(f369(f328(a497,f292(a14,f78(a11))),f292(a14,x36111)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565])).
% 40.68/40.67 cnf(3619,plain,
% 40.68/40.67 (P2(f352(f300(a489,f166(f291(f303(a473,f291(f335(a512,x36191),x36191)),x36192),f291(f303(a473,f291(f335(a512,x36191),x36191)),x36192))),f291(f303(a473,f291(f335(a512,x36191),x36191)),x36192)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493])).
% 40.68/40.67 cnf(3625,plain,
% 40.68/40.67 (~P2(f295(f291(f335(a509,f291(f327(a70,a489),x36251)),f291(f327(a70,a489),f291(a13,f17(a11)))),f291(f335(a512,x36252),x36252)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057])).
% 40.68/40.67 cnf(3627,plain,
% 40.68/40.67 (~P2(f450(f367(f318(a504,f367(f408(a57,a488),x36271)),f367(f408(a57,a488),f367(a96,a4))),f171(x36272,x36273,a4)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057,2055])).
% 40.68/40.67 cnf(3631,plain,
% 40.68/40.67 (P2(f450(f367(f318(a513,f367(f408(a57,a488),f367(f447(a472,x36311),x36312))),f367(f408(a57,a488),x36313)),x36311))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057,2055,2027,2025])).
% 40.68/40.67 cnf(3654,plain,
% 40.68/40.67 (~P2(f316(f393(a486,f367(f447(a472,x36541),a4)),a4))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,895,2370,896,1139,1149,1150,2326,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,2409,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057,2055,2027,2025,1929,1927,1922,1921,2121,2001,2000,843,1353,1350,1344])).
% 40.68/40.67 cnf(3655,plain,
% 40.68/40.67 (~E(f367(f447(a472,x36551),x36552),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(3660,plain,
% 40.68/40.67 (P3(f293(x36601,x36602))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(3669,plain,
% 40.68/40.67 (~E(f367(f447(a472,x36691),x36692),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(3672,plain,
% 40.68/40.67 (P3(f293(x36721,x36722))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(3677,plain,
% 40.68/40.67 (P5(f136(f367(f447(a472,x36771),a4)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,2397,3660,3672,895,2370,896,1139,1149,3655,3669,1150,2326,864,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,2409,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057,2055,2027,2025,1929,1927,1922,1921,2121,2001,2000,843,1353,1350,1344,1302,1273,1220,1219,1213,1211,1198,1189,1172])).
% 40.68/40.67 cnf(3678,plain,
% 40.68/40.67 (~E(f367(f447(a472,x36781),x36782),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(3681,plain,
% 40.68/40.67 (~E(f367(f447(a472,x36811),x36812),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(3684,plain,
% 40.68/40.67 (~E(f367(f447(a472,x36841),x36842),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(3687,plain,
% 40.68/40.67 (~E(f367(f447(a472,x36871),x36872),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(3690,plain,
% 40.68/40.67 (~E(f367(f447(a472,x36901),x36902),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(3694,plain,
% 40.68/40.67 (P2(f355(a271,f368(a93,f368(f405(a85,f338(f41(a278),f393(f331(a60,a486),a4))),f393(f331(a60,a486),a4)))))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,2397,3660,3672,895,2370,896,1139,1149,3655,3669,3678,3681,3684,3687,1150,2326,864,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,2409,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057,2055,2027,2025,1929,1927,1922,1921,2121,2001,2000,843,1353,1350,1344,1302,1273,1220,1219,1213,1211,1198,1189,1172,1171,1170,1169,1168,1242,2018,2017])).
% 40.68/40.67 cnf(3698,plain,
% 40.68/40.67 (~P2(f352(f415(a487,f291(f303(a473,f528(x36981,x36982)),a7)),f291(f303(a473,a503),a7)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,2397,3660,3672,895,2370,896,1139,1149,3655,3669,3678,3681,3684,3687,1150,2326,864,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,2409,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057,2055,2027,2025,1929,1927,1922,1921,2121,2001,2000,843,1353,1350,1344,1302,1273,1220,1219,1213,1211,1198,1189,1172,1171,1170,1169,1168,1242,2018,2017,2016,1717])).
% 40.68/40.67 cnf(3701,plain,
% 40.68/40.67 (~E(f291(f303(a473,f528(x37011,x37012)),f291(f303(a473,x37013),a7)),f291(f303(a473,a503),f291(f303(a473,a503),a7)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,2397,3660,3672,895,2370,896,1139,1149,3655,3669,3678,3681,3684,3687,1150,2326,864,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,2409,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057,2055,2027,2025,1929,1927,1922,1921,2121,2001,2000,843,1353,1350,1344,1302,1273,1220,1219,1213,1211,1198,1189,1172,1171,1170,1169,1168,1242,2018,2017,2016,1717,1629])).
% 40.68/40.67 cnf(3706,plain,
% 40.68/40.67 (~E(f528(x37061,x37062),a503)),
% 40.68/40.67 inference(rename_variables,[],[1139])).
% 40.68/40.67 cnf(3722,plain,
% 40.68/40.67 (~E(f367(f447(a472,x37221),x37222),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(3726,plain,
% 40.68/40.67 (P2(f316(f443(a488,f136(f367(f447(a472,x37261),a4))),f367(f447(a472,x37261),a4)))),
% 40.68/40.67 inference(scs_inference,[],[1156,844,849,850,852,853,854,869,870,871,872,873,874,859,860,861,862,863,920,900,1155,1102,1103,857,2253,2259,2262,2296,884,892,894,2333,2377,2397,3660,3672,895,2370,896,1139,3706,1146,1149,3655,3669,3678,3681,3684,3687,3690,3722,1150,2326,864,934,2278,2281,2284,2287,2317,2332,2369,2376,2389,2396,936,2269,2272,2275,2336,2339,2344,2351,922,2373,2380,2383,2386,2393,2400,924,2308,2311,1152,2242,2357,1154,2329,2403,2406,2409,932,1040,1041,2166,2169,2172,2175,2314,1048,2154,2157,2160,2163,2302,2305,1051,1055,2365,1083,2186,2189,2293,2320,1089,2180,2183,2290,946,950,951,1009,2137,2140,1122,2,1162,1552,1551,1550,1439,1438,1259,1258,1907,1906,1904,1902,1901,1899,1897,1896,1817,1783,1781,1779,1777,1417,1413,1410,1408,1404,1402,1392,1391,1346,1345,1702,1618,1548,1547,1509,1507,1436,1435,1748,1746,1745,1743,1676,1633,1631,1928,1703,841,840,839,838,3,1352,1351,1269,1268,1591,1590,1589,1588,1587,1586,1585,1443,1441,1365,1611,1607,1514,1513,1462,1460,1424,1422,1623,1523,1943,1719,1860,1859,1857,1735,1734,1754,1753,1752,2064,2089,1749,1582,1869,1868,1867,1865,1742,1741,1768,1767,1765,1763,2037,2034,2021,1158,2120,1348,1347,1340,1338,1332,1301,1298,1297,1296,1293,1260,1246,1244,1229,1218,1215,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1196,1190,1187,1186,1185,1184,1183,1182,1181,1176,1174,1173,1167,1166,1165,1164,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,2009,2008,2005,2004,1725,1724,1723,1722,1635,1512,1510,1488,1487,1486,1485,1483,1482,1481,1480,1478,1477,1476,1475,1473,1472,1471,1470,1433,1432,1397,1396,1395,1393,1386,1385,1384,1383,1382,1381,1380,1379,1378,1341,1336,1335,1334,1327,1315,1314,1313,1292,1291,1283,1282,1281,1277,1276,1275,1274,1261,1241,1228,1227,1226,1225,1163,1376,1310,1309,1236,1232,1972,1953,1952,1951,1950,1895,1894,1882,1881,1855,1854,1853,1852,1843,1842,1841,1840,1816,1815,1799,1798,1797,1796,1795,1794,1790,1789,1786,1775,1774,1771,1721,1720,1685,1682,1659,1656,1653,1650,1649,1648,1647,1646,1645,1644,1641,1638,1625,1505,1503,1501,1333,1326,1980,1979,1978,1977,1827,1826,1825,1824,1695,1671,1666,1665,1617,1616,1565,1561,1559,1532,1493,1492,1272,2057,2055,2027,2025,1929,1927,1922,1921,2121,2001,2000,843,1353,1350,1344,1302,1273,1220,1219,1213,1211,1198,1189,1172,1171,1170,1169,1168,1242,2018,2017,2016,1717,1629,1628,1627,1626,1546,1544,1542,1540,1494,1437,1430,1325])).
% 40.68/40.67 cnf(3971,plain,
% 40.68/40.67 (~E(f425(a6,x39711),f502(x39712))+P2(f294(a527,x39712))),
% 40.68/40.67 inference(scs_inference,[],[853,1242])).
% 40.68/40.67 cnf(3972,plain,
% 40.68/40.67 (~P2(f294(a527,x39721))+P2(f352(f464(a7),f291(f303(a473,f313(a466,x39721)),a7)))),
% 40.68/40.67 inference(scs_inference,[],[853,854,1749])).
% 40.68/40.67 cnf(3993,plain,
% 40.68/40.67 (~P2(f295(f17(a11),x39931))),
% 40.68/40.67 inference(rename_variables,[],[2151])).
% 40.68/40.67 cnf(3996,plain,
% 40.68/40.67 (~P2(f450(a4,x39961))),
% 40.68/40.67 inference(rename_variables,[],[2209])).
% 40.68/40.67 cnf(4003,plain,
% 40.68/40.67 (P2(f455(f446(f97(a503),x40031),x40031))),
% 40.68/40.67 inference(rename_variables,[],[977])).
% 40.68/40.67 cnf(4006,plain,
% 40.68/40.67 (P3(f12(x40061))),
% 40.68/40.67 inference(rename_variables,[],[856])).
% 40.68/40.67 cnf(4009,plain,
% 40.68/40.67 (P3(f12(x40091))),
% 40.68/40.67 inference(rename_variables,[],[856])).
% 40.68/40.67 cnf(4012,plain,
% 40.68/40.67 (P3(f367(x40121,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4017,plain,
% 40.68/40.67 (~E(f291(f303(a473,x40171),x40172),a7)),
% 40.68/40.67 inference(rename_variables,[],[1150])).
% 40.68/40.67 cnf(4020,plain,
% 40.68/40.67 (P3(f12(x40201))),
% 40.68/40.67 inference(rename_variables,[],[856])).
% 40.68/40.67 cnf(4023,plain,
% 40.68/40.67 (P3(f12(x40231))),
% 40.68/40.67 inference(rename_variables,[],[856])).
% 40.68/40.67 cnf(4026,plain,
% 40.68/40.67 (P3(f12(x40261))),
% 40.68/40.67 inference(rename_variables,[],[856])).
% 40.68/40.67 cnf(4035,plain,
% 40.68/40.67 (~P2(f295(f17(a11),x40351))),
% 40.68/40.67 inference(rename_variables,[],[2151])).
% 40.68/40.67 cnf(4042,plain,
% 40.68/40.67 (P3(f293(x40421,x40422))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(4045,plain,
% 40.68/40.67 (~E(f367(f447(a472,x40451),x40452),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(4046,plain,
% 40.68/40.67 (P3(f367(x40461,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4049,plain,
% 40.68/40.67 (~E(f367(f447(a472,x40491),x40492),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(4050,plain,
% 40.68/40.67 (P3(f367(x40501,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4053,plain,
% 40.68/40.67 (P2(f352(a269,f291(f303(a473,x40531),a7)))),
% 40.68/40.67 inference(rename_variables,[],[3376])).
% 40.68/40.67 cnf(4054,plain,
% 40.68/40.67 (~P2(f352(f464(f401(f470(f354(f46(a466),a9)),f12(a6))),f291(f303(a473,f313(a466,a526)),x40541)))),
% 40.68/40.67 inference(rename_variables,[],[2177])).
% 40.68/40.67 cnf(4055,plain,
% 40.68/40.67 (P2(f352(f464(x40551),a7))),
% 40.68/40.67 inference(rename_variables,[],[916])).
% 40.68/40.67 cnf(4058,plain,
% 40.68/40.67 (~E(f367(f447(a472,x40581),x40582),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(4059,plain,
% 40.68/40.67 (P3(f367(x40591,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4062,plain,
% 40.68/40.67 (P2(f352(a269,f291(f303(a473,x40621),a7)))),
% 40.68/40.67 inference(rename_variables,[],[3376])).
% 40.68/40.67 cnf(4063,plain,
% 40.68/40.67 (~P2(f352(f464(f401(f470(f354(f46(a466),a9)),f12(a6))),f291(f303(a473,f313(a466,a526)),x40631)))),
% 40.68/40.67 inference(rename_variables,[],[2177])).
% 40.68/40.67 cnf(4064,plain,
% 40.68/40.67 (P2(f352(f464(x40641),a7))),
% 40.68/40.67 inference(rename_variables,[],[916])).
% 40.68/40.67 cnf(4067,plain,
% 40.68/40.67 (P2(f352(a269,f291(f303(a473,x40671),a7)))),
% 40.68/40.67 inference(rename_variables,[],[3376])).
% 40.68/40.67 cnf(4068,plain,
% 40.68/40.67 (~P2(f352(f464(f401(f470(f354(f46(a466),a9)),f12(a6))),f291(f303(a473,f313(a466,a526)),x40681)))),
% 40.68/40.67 inference(rename_variables,[],[2177])).
% 40.68/40.67 cnf(4069,plain,
% 40.68/40.67 (P2(f352(f464(x40691),a7))),
% 40.68/40.67 inference(rename_variables,[],[916])).
% 40.68/40.67 cnf(4073,plain,
% 40.68/40.67 (~P2(f352(f300(a489,f313(a466,a526)),f291(f335(a494,a270),x40731)))),
% 40.68/40.67 inference(rename_variables,[],[3525])).
% 40.68/40.67 cnf(4076,plain,
% 40.68/40.67 (P2(f352(a269,f291(f303(a473,x40761),a7)))),
% 40.68/40.67 inference(rename_variables,[],[3376])).
% 40.68/40.67 cnf(4077,plain,
% 40.68/40.67 (~P2(f352(f464(f401(f470(f354(f46(a466),a9)),f12(a6))),f291(f303(a473,f313(a466,a526)),x40771)))),
% 40.68/40.67 inference(rename_variables,[],[2177])).
% 40.68/40.67 cnf(4078,plain,
% 40.68/40.67 (P2(f352(f464(x40781),a7))),
% 40.68/40.67 inference(rename_variables,[],[916])).
% 40.68/40.67 cnf(4082,plain,
% 40.68/40.67 (P3(f367(x40821,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4089,plain,
% 40.68/40.67 (P2(f352(f464(x40891),f291(f303(a473,f404(f314(f366(a460,f362(f424(a77,f323(f42(a83),f326(f37(f35(a277)),x40892))),f353(f22(a267),x40893))),f528(x40893,x40894)),x40892)),a7)))),
% 40.68/40.67 inference(rename_variables,[],[1133])).
% 40.68/40.67 cnf(4092,plain,
% 40.68/40.67 (P2(f352(f300(a489,x40921),f291(f303(a473,x40921),x40922)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4094,plain,
% 40.68/40.67 (~P2(f295(f291(f335(a509,f291(f327(a70,a489),x40941)),f291(f327(a70,a489),f291(a13,f17(a11)))),f242(f291(f335(a509,f291(f327(a70,a489),x40941)),f291(f327(a70,a489),f291(a13,f17(a11)))),x40942,f291(f303(a473,f291(f335(a512,x40943),x40943)),x40944))))),
% 40.68/40.67 inference(scs_inference,[],[855,856,4006,4009,4020,4023,1140,916,4055,4064,4069,1054,1028,1060,1127,1133,894,1149,4045,4049,1150,898,869,1102,977,1155,1055,4092,870,849,2331,2135,2177,4054,4063,4068,3625,3525,3539,3493,2149,2151,3993,3611,3495,3577,2209,3996,2458,4012,4046,4050,4059,3390,3694,3376,4053,4062,4067,3384,3654,3972,3971,2007,2006,1377,1880,1879,1563,1562,1999,1998,1636,1401,1400,1371,1370,1311,1718,1449,1448,1704,2063,2061,2060,1596,1248,1247,1456,1321,1464,1837,1549,1994,1398,1971,1531,1872,1871,1870])).
% 40.68/40.67 cnf(4095,plain,
% 40.68/40.67 (P2(f352(f300(a489,x40951),f291(f303(a473,x40951),x40952)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4098,plain,
% 40.68/40.67 (P2(f352(f300(a489,x40981),f291(f303(a473,x40981),x40982)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4101,plain,
% 40.68/40.67 (P2(f352(f300(a489,x41011),f291(f303(a473,x41011),x41012)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4104,plain,
% 40.68/40.67 (P2(f316(f393(a486,x41041),f367(f318(a513,x41042),x41041)))),
% 40.68/40.67 inference(rename_variables,[],[1044])).
% 40.68/40.67 cnf(4107,plain,
% 40.68/40.67 (P2(f316(f393(a486,x41071),f367(f318(a513,x41072),x41071)))),
% 40.68/40.67 inference(rename_variables,[],[1044])).
% 40.68/40.67 cnf(4117,plain,
% 40.68/40.67 (~E(f292(a14,f464(x41171)),a10)),
% 40.68/40.67 inference(scs_inference,[],[855,856,4006,4009,4020,4023,4026,1140,916,4055,4064,4069,4078,1054,1028,1060,1127,1133,1044,4104,894,1149,4045,4049,1150,898,869,1102,977,1155,1055,4092,4095,4098,870,849,2331,2135,3473,2177,4054,4063,4068,3625,3525,3539,3493,3698,2149,2151,3993,3611,3495,3577,2209,3996,2458,4012,4046,4050,4059,3390,3694,3376,4053,4062,4067,3384,3654,3972,3971,2007,2006,1377,1880,1879,1563,1562,1999,1998,1636,1401,1400,1371,1370,1311,1718,1449,1448,1704,2063,2061,2060,1596,1248,1247,1456,1321,1464,1837,1549,1994,1398,1971,1531,1872,1871,1870,1756,1755,1429,1426,1552,1551,1550,1283,1259])).
% 40.68/40.67 cnf(4126,plain,
% 40.68/40.67 (~P2(f295(f17(a11),x41261))),
% 40.68/40.67 inference(rename_variables,[],[2151])).
% 40.68/40.67 cnf(4133,plain,
% 40.68/40.67 (P3(f293(x41331,x41332))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(4136,plain,
% 40.68/40.67 (P2(f316(f393(a486,x41361),f367(f318(a513,x41362),x41361)))),
% 40.68/40.67 inference(rename_variables,[],[1044])).
% 40.68/40.67 cnf(4137,plain,
% 40.68/40.67 (P3(f367(x41371,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4147,plain,
% 40.68/40.67 (E(f292(a14,x41471),x41471)),
% 40.68/40.67 inference(rename_variables,[],[858])).
% 40.68/40.67 cnf(4150,plain,
% 40.68/40.67 (P3(f293(x41501,x41502))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(4153,plain,
% 40.68/40.67 (P3(f293(x41531,x41532))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(4156,plain,
% 40.68/40.67 (P2(f352(f300(a489,x41561),f291(f303(a473,x41561),x41562)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4159,plain,
% 40.68/40.67 (P2(f352(f300(a489,x41591),f291(f303(a473,x41591),x41592)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4166,plain,
% 40.68/40.67 (P3(f293(x41661,x41662))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(4176,plain,
% 40.68/40.67 (E(f292(a14,x41761),x41761)),
% 40.68/40.67 inference(rename_variables,[],[858])).
% 40.68/40.67 cnf(4182,plain,
% 40.68/40.67 (P2(f352(f415(a487,a7),x41821))),
% 40.68/40.67 inference(rename_variables,[],[924])).
% 40.68/40.67 cnf(4185,plain,
% 40.68/40.67 (P2(f352(f415(a487,a7),x41851))),
% 40.68/40.67 inference(rename_variables,[],[924])).
% 40.68/40.67 cnf(4188,plain,
% 40.68/40.67 (P2(f352(f415(a487,a7),x41881))),
% 40.68/40.67 inference(rename_variables,[],[924])).
% 40.68/40.67 cnf(4193,plain,
% 40.68/40.67 (P2(f352(f415(a487,a7),x41931))),
% 40.68/40.67 inference(rename_variables,[],[924])).
% 40.68/40.67 cnf(4196,plain,
% 40.68/40.67 (P2(f352(f415(a487,a7),x41961))),
% 40.68/40.67 inference(rename_variables,[],[924])).
% 40.68/40.67 cnf(4199,plain,
% 40.68/40.67 (P2(f352(f415(a487,a7),x41991))),
% 40.68/40.67 inference(rename_variables,[],[924])).
% 40.68/40.67 cnf(4205,plain,
% 40.68/40.67 (P3(f293(x42051,x42052))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(4208,plain,
% 40.68/40.67 (P3(f367(x42081,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4209,plain,
% 40.68/40.67 (~E(f367(f447(a472,x42091),x42092),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(4212,plain,
% 40.68/40.67 (E(f292(a14,x42121),x42121)),
% 40.68/40.67 inference(rename_variables,[],[858])).
% 40.68/40.67 cnf(4213,plain,
% 40.68/40.67 (P2(f316(f393(a486,x42131),f367(f318(a513,x42132),x42131)))),
% 40.68/40.67 inference(rename_variables,[],[1044])).
% 40.68/40.67 cnf(4216,plain,
% 40.68/40.67 (P2(f316(a268,f367(f318(a504,a4),x42161)))),
% 40.68/40.67 inference(rename_variables,[],[3380])).
% 40.68/40.67 cnf(4217,plain,
% 40.68/40.67 (P3(f367(x42171,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4218,plain,
% 40.68/40.67 (P2(f316(f393(a486,f367(f318(a504,a4),x42181)),x42182))),
% 40.68/40.67 inference(rename_variables,[],[3505])).
% 40.68/40.67 cnf(4221,plain,
% 40.68/40.67 (P2(f316(f393(a486,a4),x42211))),
% 40.68/40.67 inference(rename_variables,[],[922])).
% 40.68/40.67 cnf(4223,plain,
% 40.68/40.67 (P2(f355(f399(a498,f198(x42231,x42232,a4)),x42232))),
% 40.68/40.67 inference(scs_inference,[],[2134,851,1134,855,858,4147,4176,856,4006,4009,4020,4023,4026,1140,1136,1141,916,4055,4064,4069,4078,1054,1028,1060,1127,1133,1044,4104,4107,4136,894,4042,4133,4150,4153,4166,1149,4045,4049,4058,1150,922,4221,924,4182,4185,4188,4193,4196,1154,898,869,1102,934,977,4003,872,1155,1040,1055,4092,4095,4098,4101,4156,871,870,849,1103,2331,2135,3473,2203,2177,4054,4063,4068,4077,3625,3525,3505,3537,3539,3531,3493,3698,3300,2149,2151,3993,4035,3611,3495,3577,2209,3996,2458,4012,4046,4050,4059,4082,4137,4208,3380,2430,3390,3694,3376,4053,4062,4067,3384,3654,2466,3972,3971,2007,2006,1377,1880,1879,1563,1562,1999,1998,1636,1401,1400,1371,1370,1311,1718,1449,1448,1704,2063,2061,2060,1596,1248,1247,1456,1321,1464,1837,1549,1994,1398,1971,1531,1872,1871,1870,1756,1755,1429,1426,1552,1551,1550,1283,1259,1258,1417,1346,1415,1353,1220,1171,1269,1629,1628,1627,1365,1325,1323,1974,1973,1939,1933,1942,1908,1814,1812,1791,1760,1735,1962,1961,1959,1754,1753,2068,2053,1265,1263,1597,1742,1968,1967])).
% 40.68/40.67 cnf(4224,plain,
% 40.68/40.67 (P2(f316(f393(a486,a4),x42241))),
% 40.68/40.67 inference(rename_variables,[],[922])).
% 40.68/40.67 cnf(4235,plain,
% 40.68/40.67 (~P2(f352(f300(a489,x42351),f291(a13,f17(a11))))),
% 40.68/40.67 inference(rename_variables,[],[2418])).
% 40.68/40.67 cnf(4238,plain,
% 40.68/40.67 (~P2(f352(f300(a489,x42381),f291(a13,f17(a11))))),
% 40.68/40.67 inference(rename_variables,[],[2418])).
% 40.68/40.67 cnf(4241,plain,
% 40.68/40.67 (P3(f293(x42411,x42412))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(4244,plain,
% 40.68/40.67 (P2(f352(f415(a487,x42441),f291(f335(a512,x42441),x42442)))),
% 40.68/40.67 inference(rename_variables,[],[1054])).
% 40.68/40.67 cnf(4269,plain,
% 40.68/40.67 (P2(f450(f367(f447(a472,x42691),x42692),x42691))),
% 40.68/40.67 inference(rename_variables,[],[2205])).
% 40.68/40.67 cnf(4297,plain,
% 40.68/40.67 (~E(f367(f447(a472,x42971),x42972),a4)),
% 40.68/40.67 inference(rename_variables,[],[1149])).
% 40.68/40.67 cnf(4317,plain,
% 40.68/40.67 (P2(f352(f415(a487,f291(f335(a509,x43171),x43172)),x43171))),
% 40.68/40.67 inference(rename_variables,[],[1092])).
% 40.68/40.67 cnf(4330,plain,
% 40.68/40.67 (P2(f352(f300(a489,x43301),f291(f303(a473,x43301),x43302)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4332,plain,
% 40.68/40.67 (P2(f352(f300(a489,f242(f291(f335(a509,f291(f327(a70,a489),x43321)),f291(f327(a70,a489),f291(a13,f17(a11)))),x43322,f291(f303(a473,f291(f335(a512,x43323),x43323)),x43324))),f291(f335(a512,x43322),f291(f303(a473,f291(f335(a512,x43323),x43323)),x43324))))),
% 40.68/40.67 inference(scs_inference,[],[2134,851,1134,855,858,4147,4176,856,4006,4009,4020,4023,4026,1140,1136,1141,916,4055,4064,4069,4078,917,1054,1028,1060,1127,1133,1092,1044,4104,4107,4136,894,4042,4133,4150,4153,4166,4205,4241,1149,4045,4049,4058,4209,1150,922,4221,924,4182,4185,4188,4193,4196,1154,898,869,1102,934,977,4003,1152,872,873,1155,1040,1055,4092,4095,4098,4101,4156,4159,4330,871,870,849,1103,2331,2135,3473,2203,2205,4269,2177,4054,4063,4068,4077,3625,3525,3627,3505,3537,3539,2179,3619,3531,3701,2418,4235,3493,3698,3300,2149,2151,3993,4035,3611,3475,3495,3577,2209,3996,2458,4012,4046,4050,4059,4082,4137,4208,2494,3380,2430,3390,3332,3694,3376,4053,4062,4067,3384,3654,2466,2363,3972,3971,2007,2006,1377,1880,1879,1563,1562,1999,1998,1636,1401,1400,1371,1370,1311,1718,1449,1448,1704,2063,2061,2060,1596,1248,1247,1456,1321,1464,1837,1549,1994,1398,1971,1531,1872,1871,1870,1756,1755,1429,1426,1552,1551,1550,1283,1259,1258,1417,1346,1415,1353,1220,1171,1269,1629,1628,1627,1365,1325,1323,1974,1973,1939,1933,1942,1908,1814,1812,1791,1760,1735,1962,1961,1959,1754,1753,2068,2053,1265,1263,1597,1742,1968,1967,1904,1901,1899,1897,1493,1492,1437,1607,1601,1462,1621,2018,2017,1783,1781,1779,1777,1542,1460,1340,1332,1648,2,14,7,6,1635,1291,1281,1277,1392,1928,3,1273,1219,1211,1172,1170,1169,1168,1268,1717,1626,1494,1445,1324,1251,1970,1969])).
% 40.68/40.67 cnf(4333,plain,
% 40.68/40.67 (P2(f352(f300(a489,x43331),f291(f303(a473,x43331),x43332)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4339,plain,
% 40.68/40.67 (E(f292(a14,x43391),x43391)),
% 40.68/40.67 inference(rename_variables,[],[858])).
% 40.68/40.67 cnf(4346,plain,
% 40.68/40.67 (P2(f352(f415(a487,a7),x43461))),
% 40.68/40.67 inference(rename_variables,[],[924])).
% 40.68/40.67 cnf(4360,plain,
% 40.68/40.67 (P2(f352(f300(a489,x43601),f291(f303(a473,x43601),x43602)))),
% 40.68/40.67 inference(rename_variables,[],[1055])).
% 40.68/40.67 cnf(4368,plain,
% 40.68/40.67 (P2(f352(f415(a487,a7),x43681))),
% 40.68/40.67 inference(rename_variables,[],[924])).
% 40.68/40.67 cnf(4379,plain,
% 40.68/40.67 (P2(f316(f393(a486,a4),x43791))),
% 40.68/40.67 inference(rename_variables,[],[922])).
% 40.68/40.67 cnf(4383,plain,
% 40.68/40.67 (~P2(f352(f300(a489,x43831),a7))),
% 40.68/40.67 inference(rename_variables,[],[1154])).
% 40.68/40.67 cnf(4386,plain,
% 40.68/40.67 (P2(f316(f393(a486,f367(f318(a504,x43861),x43862)),x43861))),
% 40.68/40.67 inference(rename_variables,[],[1086])).
% 40.68/40.67 cnf(4387,plain,
% 40.68/40.67 (~P2(f316(f443(a488,x43871),f367(f318(a504,a4),x43872)))),
% 40.68/40.67 inference(rename_variables,[],[3533])).
% 40.68/40.67 cnf(4391,plain,
% 40.68/40.67 (P3(f367(x43911,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4394,plain,
% 40.68/40.67 (P2(f316(a268,f367(f318(a504,a4),x43941)))),
% 40.68/40.67 inference(rename_variables,[],[3380])).
% 40.68/40.67 cnf(4395,plain,
% 40.68/40.67 (P3(f367(x43951,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4396,plain,
% 40.68/40.67 (P2(f316(f393(a486,f367(f318(a504,a4),x43961)),x43962))),
% 40.68/40.67 inference(rename_variables,[],[3505])).
% 40.68/40.67 cnf(4403,plain,
% 40.68/40.67 (P2(f316(f393(a486,a4),x44031))),
% 40.68/40.67 inference(rename_variables,[],[922])).
% 40.68/40.67 cnf(4406,plain,
% 40.68/40.67 (P2(f316(a268,f367(f318(a504,a4),x44061)))),
% 40.68/40.67 inference(rename_variables,[],[3380])).
% 40.68/40.67 cnf(4407,plain,
% 40.68/40.67 (P3(f367(x44071,a4))),
% 40.68/40.67 inference(rename_variables,[],[2458])).
% 40.68/40.67 cnf(4408,plain,
% 40.68/40.67 (P2(f316(f393(a486,f367(f318(a504,a4),x44081)),x44082))),
% 40.68/40.67 inference(rename_variables,[],[3505])).
% 40.68/40.67 cnf(4411,plain,
% 40.68/40.67 (P2(f316(f393(a486,a4),x44111))),
% 40.68/40.67 inference(rename_variables,[],[922])).
% 40.68/40.67 cnf(4419,plain,
% 40.68/40.67 (~P2(f352(f300(a489,x44191),a7))),
% 40.68/40.67 inference(rename_variables,[],[1154])).
% 40.68/40.67 cnf(4420,plain,
% 40.68/40.67 (~P2(f352(f300(a489,x44201),f291(a13,f17(a11))))),
% 40.68/40.67 inference(rename_variables,[],[2418])).
% 40.68/40.67 cnf(4424,plain,
% 40.68/40.67 (~P2(f352(f300(a489,x44241),f291(a13,f17(a11))))),
% 40.68/40.67 inference(rename_variables,[],[2418])).
% 40.68/40.67 cnf(4427,plain,
% 40.68/40.67 (P3(f293(x44271,x44272))),
% 40.68/40.67 inference(rename_variables,[],[894])).
% 40.68/40.67 cnf(4436,plain,
% 40.68/40.67 (~P2(f316(f393(a486,f367(f447(a472,x44361),x44362)),f367(f318(a504,a4),x44363)))),
% 40.68/40.67 inference(scs_inference,[],[2134,851,1134,855,858,4147,4176,4212,4339,856,4006,4009,4020,4023,4026,1140,1136,1141,916,4055,4064,4069,4078,917,1054,4244,1028,1060,1127,1133,4089,1092,4317,1044,4104,4107,4136,4213,1086,894,4042,4133,4150,4153,4166,4205,4241,1149,4045,4049,4058,4209,4297,1150,922,4221,4224,4379,4403,4411,924,4182,4185,4188,4193,4196,4199,4346,4368,1154,4383,4419,898,869,1102,934,977,4003,1152,1122,872,873,1155,1040,1055,4092,4095,4098,4101,4156,4159,4330,4333,4360,871,870,849,1103,2331,2135,3473,2203,2205,4269,2177,4054,4063,4068,4077,3625,3525,4073,3627,3505,4218,4396,4408,3533,4387,3537,3539,2179,3619,3531,3563,3701,2418,4235,4238,4420,3493,3698,3300,2149,2151,3993,4035,4126,3611,3475,3604,3495,2382,3577,2209,3996,2458,4012,4046,4050,4059,4082,4137,4208,4217,4391,4395,4407,2494,3380,4216,4394,4406,2372,2207,2430,3390,3332,3694,3376,4053,4062,4067,3384,3654,2466,2363,3972,3971,2007,2006,1377,1880,1879,1563,1562,1999,1998,1636,1401,1400,1371,1370,1311,1718,1449,1448,1704,2063,2061,2060,1596,1248,1247,1456,1321,1464,1837,1549,1994,1398,1971,1531,1872,1871,1870,1756,1755,1429,1426,1552,1551,1550,1283,1259,1258,1417,1346,1415,1353,1220,1171,1269,1629,1628,1627,1365,1325,1323,1974,1973,1939,1933,1942,1908,1814,1812,1791,1760,1735,1962,1961,1959,1754,1753,2068,2053,1265,1263,1597,1742,1968,1967,1904,1901,1899,1897,1493,1492,1437,1607,1601,1462,1621,2018,2017,1783,1781,1779,1777,1542,1460,1340,1332,1648,2,14,7,6,1635,1291,1281,1277,1392,1928,3,1273,1219,1211,1172,1170,1169,1168,1268,1717,1626,1494,1445,1324,1251,1970,1969,1584,1579,1937,1935,1523,1893,1888,1884,1876,1829,1808,1762,1734,1624,1752,2089,2067,2078,2077,1303,1741,1965,1768,1767,1765,1763,2037,2034,1538,1907,1906,1902,1896])).
% 40.68/40.67 cnf(4452,plain,
% 40.68/40.67 (~P2(f316(f393(a486,f367(f408(a57,a488),f367(f447(a472,x44521),a4))),f367(f318(a504,f367(f408(a57,a488),a4)),x44522)))),
% 40.68/40.67 inference(scs_inference,[],[2134,851,1134,855,858,4147,4176,4212,4339,856,4006,4009,4020,4023,4026,1140,1136,1141,916,4055,4064,4069,4078,917,1054,4244,955,1028,1060,1127,1133,4089,1092,4317,1044,4104,4107,4136,4213,1086,4386,894,4042,4133,4150,4153,4166,4205,4241,4427,1149,4045,4049,4058,4209,4297,1150,4017,922,4221,4224,4379,4403,4411,924,4182,4185,4188,4193,4196,4199,4346,4368,1154,4383,4419,898,869,1102,934,977,4003,1152,1122,872,873,1155,1040,1055,4092,4095,4098,4101,4156,4159,4330,4333,4360,871,870,849,1103,2331,2135,3473,2203,2205,4269,3631,2177,4054,4063,4068,4077,3625,3525,4073,3627,3505,4218,4396,4408,3533,4387,3537,3539,2179,3619,3531,3563,3701,2418,4235,4238,4420,4424,3493,3698,3300,2149,2151,3993,4035,4126,3611,3475,3604,3495,2382,3577,2209,3996,2458,4012,4046,4050,4059,4082,4137,4208,4217,4391,4395,4407,2494,3380,4216,4394,4406,2372,2207,2430,3390,3332,3694,3376,4053,4062,4067,4076,3384,3654,2466,2363,3972,3971,2007,2006,1377,1880,1879,1563,1562,1999,1998,1636,1401,1400,1371,1370,1311,1718,1449,1448,1704,2063,2061,2060,1596,1248,1247,1456,1321,1464,1837,1549,1994,1398,1971,1531,1872,1871,1870,1756,1755,1429,1426,1552,1551,1550,1283,1259,1258,1417,1346,1415,1353,1220,1171,1269,1629,1628,1627,1365,1325,1323,1974,1973,1939,1933,1942,1908,1814,1812,1791,1760,1735,1962,1961,1959,1754,1753,2068,2053,1265,1263,1597,1742,1968,1967,1904,1901,1899,1897,1493,1492,1437,1607,1601,1462,1621,2018,2017,1783,1781,1779,1777,1542,1460,1340,1332,1648,2,14,7,6,1635,1291,1281,1277,1392,1928,3,1273,1219,1211,1172,1170,1169,1168,1268,1717,1626,1494,1445,1324,1251,1970,1969,1584,1579,1937,1935,1523,1893,1888,1884,1876,1829,1808,1762,1734,1624,1752,2089,2067,2078,2077,1303,1741,1965,1768,1767,1765,1763,2037,2034,1538,1907,1906,1902,1896,1391,1345,1532,1927,841,1299,1604])).
% 40.68/40.67 cnf(4711,plain,
% 40.68/40.67 (P2(f355(f399(a498,f198(x47111,x47112,a4)),x47112))),
% 40.68/40.67 inference(rename_variables,[],[4223])).
% 40.68/40.67 cnf(4712,plain,
% 40.68/40.67 (P2(f355(a271,f198(x47121,x47122,a4)))),
% 40.68/40.67 inference(rename_variables,[],[2372])).
% 40.68/40.67 cnf(4713,plain,
% 40.68/40.67 (P4(f198(x47131,x47132,a4))),
% 40.68/40.67 inference(rename_variables,[],[2382])).
% 40.68/40.67 cnf(4716,plain,
% 40.68/40.67 (P2(f355(f399(a498,f198(x47161,x47162,a4)),x47162))),
% 40.68/40.67 inference(rename_variables,[],[4223])).
% 40.68/40.67 cnf(4717,plain,
% 40.68/40.67 (P2(f355(a271,f198(x47171,x47172,a4)))),
% 40.68/40.67 inference(rename_variables,[],[2372])).
% 40.68/40.67 cnf(4718,plain,
% 40.68/40.67 (P4(f198(x47181,x47182,a4))),
% 40.68/40.67 inference(rename_variables,[],[2382])).
% 40.68/40.67 cnf(4744,plain,
% 40.68/40.67 ($false),
% 40.68/40.67 inference(scs_inference,[],[899,1047,1083,1154,1152,859,4094,4436,4223,4711,4716,4332,4452,3726,2361,4117,3677,2292,3505,2382,4713,4718,2372,4712,4717,1689,1864,1740,1764,2111,1237,1233,2023,1923,3971]),
% 40.68/40.67 ['proof']).
% 40.68/40.67 % SZS output end Proof
% 40.68/40.67 % Total time :38.260000s
%------------------------------------------------------------------------------