%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW473+3 : TPTP v8.2.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n028.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 : Mon Jun 24 18:09:34 EDT 2024 % Result : Theorem 3.71s 3.76s % Output : CNFRefutation 3.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWW473+3 : TPTP v8.2.0. Released v5.3.0. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n028.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jun 19 04:44:38 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 3.64/3.68 %------------------------------------------- % 3.64/3.68 % File :CSE---1.7 % 3.64/3.68 % Problem :theBenchmark % 3.64/3.68 % Transform :cnf % 3.64/3.68 % Format :tptp:raw % 3.64/3.68 % Command :java -jar mcs_scs.jar %d %s % 3.64/3.68 % 3.64/3.68 % Result :Theorem 1.550000s % 3.64/3.69 % Output :CNFRefutation 1.550000s % 3.64/3.69 %------------------------------------------- % 3.64/3.69 %------------------------------------------------------------------------------ % 3.64/3.69 % File : SWW473+3 : TPTP v8.2.0. Released v5.3.0. % 3.64/3.69 % Domain : Software Verification % 3.64/3.69 % Problem : Hoare's Logic with Procedures line 383, 1000 axioms selected % 3.64/3.69 % Version : Especial. % 3.64/3.69 % English : % 3.64/3.69 % 3.64/3.69 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 3.64/3.69 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 3.64/3.69 % Source : [Bla11] % 3.64/3.69 % Names : hoare_1000_fofmg_l383 [Bla11] % 3.64/3.69 % 3.64/3.69 % Status : Theorem % 3.64/3.69 % Rating : 0.36 v8.2.0, 0.44 v8.1.0, 0.42 v7.5.0, 0.44 v7.4.0, 0.37 v7.3.0, 0.38 v7.2.0, 0.34 v7.1.0, 0.43 v7.0.0, 0.47 v6.4.0, 0.50 v6.3.0, 0.33 v6.2.0, 0.40 v6.1.0, 0.63 v6.0.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.68 v5.3.0 % 3.64/3.69 % Syntax : Number of formulae : 1415 ( 383 unt; 0 def) % 3.64/3.69 % Number of atoms : 3616 ( 905 equ) % 3.64/3.69 % Maximal formula atoms : 13 ( 2 avg) % 3.64/3.69 % Number of connectives : 2518 ( 317 ~; 77 |; 306 &) % 3.64/3.69 % ( 253 <=>;1565 =>; 0 <=; 0 <~>) % 3.64/3.69 % Maximal formula depth : 15 ( 5 avg) % 3.64/3.69 % Maximal term depth : 11 ( 2 avg) % 3.64/3.69 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty) % 3.64/3.69 % Number of functors : 372 ( 372 usr; 105 con; 0-2 aty) % 3.64/3.69 % Number of variables : 3314 (3205 !; 109 ?) % 3.64/3.69 % SPC : FOF_THM_RFO_SEQ % 3.64/3.69 % 3.64/3.69 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 3.64/3.69 % 2011-08-09 17:58:47 % 3.64/3.69 % : Encoded with monomorphized guards. % 3.64/3.69 %------------------------------------------------------------------------------ % 3.64/3.69 %----Explicit typings (106) % 3.64/3.69 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : % 3.64/3.69 ( is_fun_a_bool(B_2_1) % 3.64/3.69 => is_fun_a_bool(cOMBB_bool_bool_a(B_1_1,B_2_1)) ) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : % 3.64/3.69 ( is_fun_pname_bool(B_2_1) % 3.64/3.69 => is_fun_pname_bool(cOMBB_647938656_pname(B_1_1,B_2_1)) ) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t__a,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : % 3.64/3.69 ( is_fun949378684l_bool(B_1_1) % 3.64/3.69 => is_fun_a_bool(cOMBB_1273333599bool_a(B_1_1,B_2_1)) ) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_COMBK_000tc__HOL__Obool_000t__a,axiom, % 3.64/3.69 ! [B_1_1] : % 3.64/3.69 ( is_bool(B_1_1) % 3.64/3.69 => is_fun_a_bool(cOMBK_bool_a(B_1_1)) ) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : % 3.64/3.69 ( is_fun_a_bool(B_2_1) % 3.64/3.69 => is_fun_a_bool(cOMBS_a_bool_bool(B_1_1,B_2_1)) ) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : % 3.64/3.69 ( is_fun_pname_bool(B_2_1) % 3.64/3.69 => is_fun_pname_bool(cOMBS_568398431l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : % 3.64/3.69 ( is_fun949378684l_bool(B_2_1) % 3.64/3.69 => is_fun949378684l_bool(cOMBS_1035972772l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : % 3.64/3.69 ( is_fun1661590463l_bool(B_2_1) % 3.64/3.69 => is_fun1661590463l_bool(cOMBS_350070575l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofinite_000t__a,axiom, % 3.64/3.69 is_fun949378684l_bool(finite_finite_a) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname,hypothesis, % 3.64/3.69 is_fun1661590463l_bool(finite_finite_pname) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofolding__one_000t__a,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : is_bool(finite_folding_one_a(B_1_1,B_2_1)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofolding__one_000tc__Com__Opname,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : is_bool(finite1282449217_pname(B_1_1,B_2_1)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofolding__one_000tc__Int__Oint,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : is_bool(finite1626084323ne_int(B_1_1,B_2_1)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofolding__one_000tc__Nat__Onat,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : is_bool(finite988810631ne_nat(B_1_1,B_2_1)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofolding__one__idem_000t__a,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : is_bool(finite1819937229idem_a(B_1_1,B_2_1)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Com__Opname,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : is_bool(finite89670078_pname(B_1_1,B_2_1)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Int__Oint,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : is_bool(finite1432773856em_int(B_1_1,B_2_1)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Finite__Set_Ofolding__one__idem_000tc__Nat__Onat,axiom, % 3.64/3.69 ! [B_1_1,B_2_1] : is_bool(finite795500164em_nat(B_1_1,B_2_1)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_HOL_Oundefined_000t__a,axiom, % 3.64/3.69 is_a(undefined_a(x_a)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_HOL_Oundefined_000tc__Com__Opname,axiom, % 3.64/3.69 is_pname(undefined_pname(pname)) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.69 is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.69 is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool,axiom, % 3.64/3.69 is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom, % 3.64/3.69 is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom, % 3.64/3.69 is_bool(bot_bot_bool) ). % 3.64/3.69 % 3.64/3.69 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.69 is_fun_a_bool(bot_bot_fun_a_bool) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 is_fun_pname_bool(bot_bo844097828e_bool) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_OCollect_000t__a,axiom, % 3.64/3.70 ! [B_1_1] : % 3.64/3.70 ( is_fun_a_bool(B_1_1) % 3.64/3.70 => is_fun_a_bool(collect_a(B_1_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_OCollect_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1] : % 3.64/3.70 ( is_fun_pname_bool(B_1_1) % 3.64/3.70 => is_fun_pname_bool(collect_pname(B_1_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1] : % 3.64/3.70 ( is_fun949378684l_bool(B_1_1) % 3.64/3.70 => is_fun949378684l_bool(collect_fun_a_bool(B_1_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1] : % 3.64/3.70 ( is_fun1661590463l_bool(B_1_1) % 3.64/3.70 => is_fun1661590463l_bool(collec1974731493e_bool(B_1_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000t__a_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_a_bool(B_2_1) % 3.64/3.70 => is_fun_a_bool(image_a_a(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000t__a_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_a_bool(B_2_1) % 3.64/3.70 => is_fun_pname_bool(image_a_pname(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_a_bool(B_2_1) % 3.64/3.70 => is_fun949378684l_bool(image_a_fun_a_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_a_bool(B_2_1) % 3.64/3.70 => is_fun1661590463l_bool(image_819518260e_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000t__a,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_pname_bool(B_2_1) % 3.64/3.70 => is_fun_a_bool(image_pname_a(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_pname_bool(B_2_1) % 3.64/3.70 => is_fun_pname_bool(image_pname_pname(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_pname_bool(B_2_1) % 3.64/3.70 => is_fun949378684l_bool(image_112932426a_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_pname_bool(B_2_1) % 3.64/3.70 => is_fun1661590463l_bool(image_47868345e_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Int__Oint_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_a_bool(image_int_a(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Int__Oint_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_int_pname(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Int__Oint_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun949378684l_bool(image_int_fun_a_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Int__Oint_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(image_637364955e_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_a_bool(image_nat_a(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_nat_pname(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun949378684l_bool(image_nat_fun_a_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(image_1655916159e_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun949378684l_bool(B_2_1) % 3.64/3.70 => is_fun_a_bool(image_fun_a_bool_a(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun949378684l_bool(B_2_1) % 3.64/3.70 => is_fun_pname_bool(image_1854862208_pname(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun1661590463l_bool(B_2_1) % 3.64/3.70 => is_fun_a_bool(image_876012084bool_a(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun1661590463l_bool(B_2_1) % 3.64/3.70 => is_fun_pname_bool(image_1283814551_pname(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_a_bool(image_fun_int_bool_a(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_62782965_pname(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_a_bool(image_fun_nat_bool_a(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_pname_bool(image_1921560913_pname(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_fFalse,axiom, % 3.64/3.70 is_bool(fFalse) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_fTrue,axiom, % 3.64/3.70 is_bool(fTrue) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000t__a_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_a(B_2_1) % 3.64/3.70 => is_a(hAPP_a_a(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000t__a_000tc__HOL__Obool,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( ( is_fun_a_bool(B_1_1) % 3.64/3.70 & is_a(B_2_1) ) % 3.64/3.70 => is_bool(hAPP_a_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_a(B_2_1) % 3.64/3.70 => is_fun_a_bool(hAPP_a_fun_a_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_a(B_2_1) % 3.64/3.70 => is_fun_pname_bool(hAPP_a93125764e_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_a(B_2_1) % 3.64/3.70 => is_fun949378684l_bool(hAPP_a85458249l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Com__Opname_000t__a,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_pname(B_2_1) % 3.64/3.70 => is_a(hAPP_pname_a(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_pname(B_2_1) % 3.64/3.70 => is_pname(hAPP_pname_pname(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( ( is_fun_pname_bool(B_1_1) % 3.64/3.70 & is_pname(B_2_1) ) % 3.64/3.70 => is_bool(hAPP_pname_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_pname(B_2_1) % 3.64/3.70 => is_fun_a_bool(hAPP_p1534023578a_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_pname(B_2_1) % 3.64/3.70 => is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_pname(B_2_1) % 3.64/3.70 => is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_bool(B_2_1) % 3.64/3.70 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Int__Oint_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_a(hAPP_int_a(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__HOL__Obool,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_bool(hAPP_int_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_a_bool(hAPP_int_fun_a_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_i7355787e_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun949378684l_bool(hAPP_i888906320l_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(hAPP_i1587699435l_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_a_bool(hAPP_nat_fun_a_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun_pname_bool(hAPP_n1025906991e_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun949378684l_bool(hAPP_n1414589940l_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_fun1661590463l_bool(hAPP_n850744903l_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_a_bool(B_2_1) % 3.64/3.70 => is_a(hAPP_fun_a_bool_a(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( ( is_fun949378684l_bool(B_1_1) % 3.64/3.70 & is_fun_a_bool(B_2_1) ) % 3.64/3.70 => is_bool(hAPP_fun_a_bool_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_a_bool(B_2_1) % 3.64/3.70 => is_fun_a_bool(hAPP_f2050579477a_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_a_bool(B_2_1) % 3.64/3.70 => is_fun949378684l_bool(hAPP_f1631501043l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_pname_bool(B_2_1) % 3.64/3.70 => is_pname(hAPP_f1297739591_pname(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool,hypothesis, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( ( is_fun1661590463l_bool(B_1_1) % 3.64/3.70 & is_fun_pname_bool(B_2_1) ) % 3.64/3.70 => is_bool(hAPP_f1664156314l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_pname_bool(B_2_1) % 3.64/3.70 => is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun_pname_bool(B_2_1) % 3.64/3.70 => is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_bool(hAPP_f448129468l_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)) ). % 3.64/3.70 % 3.64/3.70 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__,axiom, % 3.64/3.70 ! [B_1_1,B_2_1] : % 3.64/3.70 ( is_fun949378684l_bool(B_2_1) % 3.64/3.70 => is_bool(hAPP_f621171935l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___001,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : % 3.64/3.71 ( is_fun949378684l_bool(B_2_1) % 3.64/3.71 => is_fun949378684l_bool(hAPP_f2117159681l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : % 3.64/3.71 ( is_fun1661590463l_bool(B_2_1) % 3.64/3.71 => is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_002,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : % 3.64/3.71 ( is_fun1661590463l_bool(B_2_1) % 3.64/3.71 => is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2_1)) ) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : is_bool(hAPP_f215623910l_bool(B_1_1,B_2_1)) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : is_bool(hAPP_f1637334154l_bool(B_1_1,B_2_1)) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : is_bool(hAPP_f292226953l_bool(B_1_1,B_2_1)) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_Mtc__HO,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : is_bool(hAPP_f1593524852l_bool(B_1_1,B_2_1)) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO,axiom, % 3.64/3.71 ! [B_1_1,B_2_1] : is_bool(hAPP_f937997336l_bool(B_1_1,B_2_1)) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_v_G,hypothesis, % 3.64/3.71 is_fun_a_bool(g) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_v_P,axiom, % 3.64/3.71 ! [B_1_1] : % 3.64/3.71 ( is_fun_a_bool(B_1_1) % 3.64/3.71 => is_fun949378684l_bool(p(B_1_1)) ) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_v_U,hypothesis, % 3.64/3.71 is_fun_pname_bool(u) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_v_mgt,axiom, % 3.64/3.71 ! [B_1_1] : is_a(mgt(B_1_1)) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_v_pn,hypothesis, % 3.64/3.71 is_pname(pn) ). % 3.64/3.71 % 3.64/3.71 fof(gsy_v_wt,axiom, % 3.64/3.71 ! [B_1_1] : is_bool(wt(B_1_1)) ). % 3.64/3.71 % 3.64/3.71 %----Relevant facts (1199) % 3.64/3.71 fof(fact_0_assms_I1_J,axiom, % 3.64/3.71 ! [Ts,G] : % 3.64/3.71 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Ts),G)) % 3.64/3.71 => hBOOL(hAPP_fun_a_bool_bool(p(G),Ts)) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_1_finite__Collect__subsets,axiom, % 3.64/3.71 ! [A] : % 3.64/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.64/3.71 => hBOOL(hAPP_f1593524852l_bool(finite2095298929l_bool,collec1409689523l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(ord_le1848167016l_bool),A)))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_2_finite__Collect__subsets,axiom, % 3.64/3.71 ! [A] : % 3.64/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.64/3.71 => hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A)))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_3_finite__Collect__subsets,axiom, % 3.64/3.71 ! [A] : % 3.64/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.64/3.71 => hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A)))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_4_finite__Collect__subsets,axiom, % 3.64/3.71 ! [A] : % 3.64/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.64/3.71 => hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A)))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_5_finite__Collect__subsets,axiom, % 3.64/3.71 ! [A] : % 3.64/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.64/3.71 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A)))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_6_finite__Collect__subsets,axiom, % 3.64/3.71 ! [A] : % 3.64/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.64/3.71 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A)))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_7_finite__Collect__subsets,axiom, % 3.64/3.71 ! [A] : % 3.64/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.64/3.71 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A)))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_8_finite__Collect__subsets,axiom, % 3.64/3.71 ! [A] : % 3.64/3.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.64/3.71 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(ord_le951220754t_bool),A)))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_9_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 3.64/3.71 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1512837979t_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_10_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_11_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_12_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 3.64/3.71 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_13_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.64/3.71 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_14_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.64/3.71 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_15_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_16_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_17_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.64/3.71 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_18_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1)) % 3.64/3.71 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_19_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1)) % 3.64/3.71 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_20_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_21_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_22_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1)) % 3.64/3.71 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_23_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_24_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_62782965_pname(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_25_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_26_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_27_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_28_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 3.64/3.71 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_29_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1431733819ol_nat(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_30_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_31_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_32_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_33_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 3.64/3.71 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_a_int(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_34_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_2069007511ol_int(H,F_1))) ) ). % 3.64/3.71 % 3.64/3.71 fof(fact_35_finite__imageI,axiom, % 3.64/3.71 ! [H,F_1] : % 3.64/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1)) % 3.64/3.71 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_1133522419ol_int(H,F_1))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_36_finite__imageI,axiom, % 3.69/3.71 ! [H,F_1] : % 3.69/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1)) % 3.69/3.71 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_41399353ol_int(H,F_1))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_37_finite__imageI,axiom, % 3.69/3.71 ! [H,F_1] : % 3.69/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1)) % 3.69/3.71 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_fun_a_bool_int(H,F_1))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_38_finite__imageI,axiom, % 3.69/3.71 ! [H,F_1] : % 3.69/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 3.69/3.71 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(H,F_1))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_39_finite__imageI,axiom, % 3.69/3.71 ! [H,F_1] : % 3.69/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.69/3.71 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(H,F_1))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_40_finite_OinsertI,axiom, % 3.69/3.71 ! [A_2,A] : % 3.69/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.69/3.71 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_41_finite_OinsertI,axiom, % 3.69/3.71 ! [A_2,A] : % 3.69/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.69/3.71 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_42_finite_OinsertI,axiom, % 3.69/3.71 ! [A_2,A] : % 3.69/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.69/3.71 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_43_finite_OinsertI,axiom, % 3.69/3.71 ! [A_2,A] : % 3.69/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.69/3.71 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_44_finite_OinsertI,axiom, % 3.69/3.71 ! [A_2,A] : % 3.69/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.69/3.71 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_45_finite_OinsertI,axiom, % 3.69/3.71 ! [A_2,A] : % 3.69/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.69/3.71 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_46_finite_OinsertI,axiom, % 3.69/3.71 ! [A_2,A] : % 3.69/3.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.69/3.71 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_47_finite_OinsertI,axiom, % 3.69/3.71 ! [A_2,A] : % 3.69/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.69/3.71 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_48_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_49_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_50_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_int_bool_a(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_51_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_52_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_53_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_54_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_55_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_56_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1431733819ol_nat(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_57_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_58_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_59_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_60_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_pname_int(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_61_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_a_int(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_62_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_2069007511ol_int(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_63_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_1133522419ol_int(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_64_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_41399353ol_int(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_65_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_fun_a_bool_int(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_66_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_67_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_68_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_int_pname(F,A))),hAPP_f957591787ol_nat(finite_card_int,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_69_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_70_card__image__le,axiom, % 3.69/3.71 ! [F,A] : % 3.69/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,image_nat_int(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_71_card__mono,axiom, % 3.69/3.71 ! [A,B] : % 3.69/3.71 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) % 3.69/3.71 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,B))) ) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_72_card__mono,axiom, % 3.69/3.71 ! [A,B] : % 3.69/3.71 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 3.69/3.71 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,B))) ) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_73_card__mono,axiom, % 3.69/3.71 ! [A,B] : % 3.69/3.71 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 3.69/3.71 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,B))) ) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_74_card__mono,axiom, % 3.69/3.71 ! [A,B] : % 3.69/3.71 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 3.69/3.71 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,B))) ) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_75_card__mono,axiom, % 3.69/3.71 ! [A,B] : % 3.69/3.71 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.69/3.71 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))) ) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_76_card__mono,axiom, % 3.69/3.71 ! [A,B] : % 3.69/3.71 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.69/3.71 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))) ) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_77_card__mono,axiom, % 3.69/3.71 ! [A,B] : % 3.69/3.71 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.69/3.71 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.69/3.71 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))) ) ) ). % 3.69/3.71 % 3.69/3.71 fof(fact_78_card__mono,axiom, % 3.69/3.71 ! [A,B] : % 3.69/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.69/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B))) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_79_card__seteq,axiom, % 3.69/3.72 ! [A,B] : % 3.69/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) % 3.69/3.72 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B)) % 3.69/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,B)),hAPP_f521865025ol_nat(finite1876863882t_bool,A))) % 3.69/3.72 => A = B ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_80_card__seteq,axiom, % 3.69/3.72 ! [A,B] : % 3.69/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 3.69/3.72 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B)) % 3.69/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B)),hAPP_f696928925ol_nat(finite346522414t_bool,A))) % 3.69/3.72 => A = B ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_81_card__seteq,axiom, % 3.69/3.72 ! [A,B] : % 3.69/3.72 ( ( is_fun1661590463l_bool(A) % 3.69/3.72 & is_fun1661590463l_bool(B) ) % 3.69/3.72 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 3.69/3.72 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B)) % 3.69/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B)),hAPP_f55526627ol_nat(finite1340463720e_bool,A))) % 3.69/3.72 => A = B ) ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_82_card__seteq,axiom, % 3.69/3.72 ! [A,B] : % 3.69/3.72 ( ( is_fun949378684l_bool(A) % 3.69/3.72 & is_fun949378684l_bool(B) ) % 3.69/3.72 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 3.69/3.72 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B)) % 3.69/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))) % 3.69/3.72 => A = B ) ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_83_card__seteq,axiom, % 3.69/3.72 ! [A,B] : % 3.69/3.72 ( ( is_fun_pname_bool(A) % 3.69/3.72 & is_fun_pname_bool(B) ) % 3.69/3.72 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.69/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.69/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,B)),hAPP_f921600141ol_nat(finite_card_pname,A))) % 3.69/3.72 => A = B ) ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_84_card__seteq,axiom, % 3.69/3.72 ! [A,B] : % 3.69/3.72 ( ( is_fun_a_bool(A) % 3.69/3.72 & is_fun_a_bool(B) ) % 3.69/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.69/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.69/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,B)),hAPP_fun_a_bool_nat(finite_card_a,A))) % 3.69/3.72 => A = B ) ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_85_card__seteq,axiom, % 3.69/3.72 ! [A,B] : % 3.69/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.69/3.72 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.69/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,B)),hAPP_f22106695ol_nat(finite_card_nat,A))) % 3.69/3.72 => A = B ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_86_card__seteq,axiom, % 3.69/3.72 ! [A,B] : % 3.69/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.69/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.69/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,B)),hAPP_f957591787ol_nat(finite_card_int,A))) % 3.69/3.72 => A = B ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_87_card__insert__le,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)))) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_88_card__insert__le,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)))) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_89_card__insert__le,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)))) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_90_card__insert__le,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)))) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_91_card__insert__le,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)))) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_92_card__insert__le,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)))) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_93_card__insert__le,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)))) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_94_card__insert__le,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.69/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)))) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_95_card__insert__if,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.69/3.72 => ( ( hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A)) % 3.69/3.72 => hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)) = hAPP_f521865025ol_nat(finite1876863882t_bool,A) ) % 3.69/3.72 & ( ~ hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A)) % 3.69/3.72 => hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)) ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_96_card__insert__if,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.69/3.72 => ( ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A)) % 3.69/3.72 => hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)) = hAPP_f696928925ol_nat(finite346522414t_bool,A) ) % 3.69/3.72 & ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A)) % 3.69/3.72 => hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)) ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_97_card__insert__if,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.69/3.72 => ( ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A)) % 3.69/3.72 => hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)) = hAPP_f55526627ol_nat(finite1340463720e_bool,A) ) % 3.69/3.72 & ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A)) % 3.69/3.72 => hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)) ) ) ) ). % 3.69/3.72 % 3.69/3.72 fof(fact_98_card__insert__if,axiom, % 3.69/3.72 ! [X_1,A] : % 3.69/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.69/3.72 => ( ( hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A)) % 3.69/3.72 => hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)) = hAPP_f2009550088ol_nat(finite1306199131a_bool,A) ) % 3.69/3.72 & ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A)) % 3.69/3.72 => hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_99_card__insert__if,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.72 => ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.72 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_f921600141ol_nat(finite_card_pname,A) ) % 3.71/3.72 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.72 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_100_card__insert__if,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.72 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_f22106695ol_nat(finite_card_nat,A) ) % 3.71/3.72 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.72 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_101_card__insert__if,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.72 => ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.72 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_f957591787ol_nat(finite_card_int,A) ) % 3.71/3.72 & ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.72 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_102_card__insert__if,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.72 => ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.72 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_fun_a_bool_nat(finite_card_a,A) ) % 3.71/3.72 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.72 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_103_card__insert__disjoint,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.71/3.72 => ( ~ hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A)) % 3.71/3.72 => hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_104_card__insert__disjoint,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.71/3.72 => ( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A)) % 3.71/3.72 => hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_105_card__insert__disjoint,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.71/3.72 => ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A)) % 3.71/3.72 => hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_106_card__insert__disjoint,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.71/3.72 => ( ~ hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A)) % 3.71/3.72 => hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)) = hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_107_card__insert__disjoint,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.72 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.72 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_108_card__insert__disjoint,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.72 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_109_card__insert__disjoint,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.72 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.72 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_110_card__insert__disjoint,axiom, % 3.71/3.72 ! [X_1,A] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.72 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.72 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_111_finite__Collect__conjI,axiom, % 3.71/3.72 ! [Q_3,Pa] : % 3.71/3.72 ( ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa))) % 3.71/3.72 | hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3))) ) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_3)))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_112_finite__Collect__conjI,axiom, % 3.71/3.72 ! [Q_3,Pa] : % 3.71/3.72 ( ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa))) % 3.71/3.72 | hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3))) ) % 3.71/3.72 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fconj,Pa),Q_3)))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_113_finite__Collect__conjI,axiom, % 3.71/3.72 ! [Q_3,Pa] : % 3.71/3.72 ( ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa))) % 3.71/3.72 | hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3))) ) % 3.71/3.72 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_3)))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_114_finite__Collect__conjI,axiom, % 3.71/3.72 ! [Q_3,Pa] : % 3.71/3.72 ( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa))) % 3.71/3.72 | hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3))) ) % 3.71/3.72 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_3)))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_115_finite__Collect__conjI,axiom, % 3.71/3.72 ! [Q_3,Pa] : % 3.71/3.72 ( ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa))) % 3.71/3.72 | hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3))) ) % 3.71/3.72 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_3)))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_116_finite__Collect__conjI,axiom, % 3.71/3.72 ! [Q_3,Pa] : % 3.71/3.72 ( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa))) % 3.71/3.72 | hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3))) ) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_3)))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_117_finite__Collect__conjI,axiom, % 3.71/3.72 ! [Q_3,Pa] : % 3.71/3.72 ( ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa))) % 3.71/3.72 | hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3))) ) % 3.71/3.72 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_3)))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_118_finite__Collect__conjI,axiom, % 3.71/3.72 ! [Q_3,Pa] : % 3.71/3.72 ( ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa))) % 3.71/3.72 | hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3))) ) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,Pa),Q_3)))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_119_Suc__diff__le,axiom, % 3.71/3.72 ! [N,M_1] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1)) % 3.71/3.72 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_120_finite__Collect__le__nat,axiom, % 3.71/3.72 ! [K] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),K)))) ). % 3.71/3.72 % 3.71/3.72 fof(fact_121_card__Collect__le__nat,axiom, % 3.71/3.72 ! [Na] : hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),Na))) = hAPP_nat_nat(suc,Na) ). % 3.71/3.72 % 3.71/3.72 fof(fact_122_Suc__inject,axiom, % 3.71/3.72 ! [X,Y] : % 3.71/3.72 ( hAPP_nat_nat(suc,X) = hAPP_nat_nat(suc,Y) % 3.71/3.72 => X = Y ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_123_nat_Oinject,axiom, % 3.71/3.72 ! [Nat_3,Nat_4] : % 3.71/3.72 ( hAPP_nat_nat(suc,Nat_3) = hAPP_nat_nat(suc,Nat_4) % 3.71/3.72 <=> Nat_3 = Nat_4 ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_124_Suc__n__not__n,axiom, % 3.71/3.72 ! [N] : hAPP_nat_nat(suc,N) != N ). % 3.71/3.72 % 3.71/3.72 fof(fact_125_n__not__Suc__n,axiom, % 3.71/3.72 ! [N] : N != hAPP_nat_nat(suc,N) ). % 3.71/3.72 % 3.71/3.72 fof(fact_126_le__antisym,axiom, % 3.71/3.72 ! [M_1,N] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1)) % 3.71/3.72 => M_1 = N ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_127_le__trans,axiom, % 3.71/3.72 ! [K_1,I_1,J] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),K_1)) % 3.71/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),K_1)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_128_eq__imp__le,axiom, % 3.71/3.72 ! [M_1,N] : % 3.71/3.72 ( M_1 = N % 3.71/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_129_nat__le__linear,axiom, % 3.71/3.72 ! [M_1,N] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.72 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_130_le__refl,axiom, % 3.71/3.72 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),N)) ). % 3.71/3.72 % 3.71/3.72 fof(fact_131_diff__commute,axiom, % 3.71/3.72 ! [I_1,J,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),K_1)),J) ). % 3.71/3.72 % 3.71/3.72 fof(fact_132_finite__Collect__disjI,axiom, % 3.71/3.72 ! [Pa,Q_3] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_3)))) % 3.71/3.72 <=> ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa))) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3))) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_133_finite__Collect__disjI,axiom, % 3.71/3.72 ! [Pa,Q_3] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,Pa),Q_3)))) % 3.71/3.72 <=> ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa))) % 3.71/3.72 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3))) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_134_finite__Collect__disjI,axiom, % 3.71/3.72 ! [Pa,Q_3] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_3)))) % 3.71/3.72 <=> ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa))) % 3.71/3.72 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3))) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_135_finite__Collect__disjI,axiom, % 3.71/3.72 ! [Pa,Q_3] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_3)))) % 3.71/3.72 <=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa))) % 3.71/3.72 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3))) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_136_finite__Collect__disjI,axiom, % 3.71/3.72 ! [Pa,Q_3] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_3)))) % 3.71/3.72 <=> ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa))) % 3.71/3.72 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3))) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_137_finite__Collect__disjI,axiom, % 3.71/3.72 ! [Pa,Q_3] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_3)))) % 3.71/3.72 <=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa))) % 3.71/3.72 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3))) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_138_finite__Collect__disjI,axiom, % 3.71/3.72 ! [Pa,Q_3] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_3)))) % 3.71/3.72 <=> ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa))) % 3.71/3.72 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3))) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_139_finite__Collect__disjI,axiom, % 3.71/3.72 ! [Pa,Q_3] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,Pa),Q_3)))) % 3.71/3.72 <=> ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa))) % 3.71/3.72 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3))) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_140_finite__insert,axiom, % 3.71/3.72 ! [A_2,A] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A))) % 3.71/3.72 <=> hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_141_finite__insert,axiom, % 3.71/3.72 ! [A_2,A] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A))) % 3.71/3.72 <=> hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_142_finite__insert,axiom, % 3.71/3.72 ! [A_2,A] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A))) % 3.71/3.72 <=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_143_finite__insert,axiom, % 3.71/3.72 ! [A_2,A] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A))) % 3.71/3.72 <=> hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_144_finite__insert,axiom, % 3.71/3.72 ! [A_2,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A))) % 3.71/3.72 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_145_finite__insert,axiom, % 3.71/3.72 ! [A_2,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A))) % 3.71/3.72 <=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_146_finite__insert,axiom, % 3.71/3.72 ! [A_2,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A))) % 3.71/3.72 <=> hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_147_finite__insert,axiom, % 3.71/3.72 ! [A_2,A] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A))) % 3.71/3.72 <=> hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_148_finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B)) % 3.71/3.72 => ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) % 3.71/3.72 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_149_finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B)) % 3.71/3.72 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 3.71/3.72 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_150_finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B)) % 3.71/3.72 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 3.71/3.72 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_151_finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B)) % 3.71/3.72 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 3.71/3.72 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_152_finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_153_finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_154_finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.72 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.72 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_155_finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.72 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_156_rev__finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) % 3.71/3.72 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B)) % 3.71/3.72 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_157_rev__finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 3.71/3.72 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B)) % 3.71/3.72 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_158_rev__finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 3.71/3.72 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B)) % 3.71/3.72 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_159_rev__finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 3.71/3.72 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B)) % 3.71/3.72 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_160_rev__finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_161_rev__finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_162_rev__finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.72 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.72 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_163_rev__finite__subset,axiom, % 3.71/3.72 ! [A,B] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_164_Suc__leD,axiom, % 3.71/3.72 ! [M_1,N] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_1)),N)) % 3.71/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_165_le__SucE,axiom, % 3.71/3.72 ! [M_1,N] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(suc,N))) % 3.71/3.72 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.72 => M_1 = hAPP_nat_nat(suc,N) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_166_le__SucI,axiom, % 3.71/3.72 ! [M_1,N] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(suc,N))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_167_Suc__le__mono,axiom, % 3.71/3.72 ! [Na,M] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M))) % 3.71/3.72 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),M)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_168_le__Suc__eq,axiom, % 3.71/3.72 ! [M,Na] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(suc,Na))) % 3.71/3.72 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) % 3.71/3.72 | M = hAPP_nat_nat(suc,Na) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_169_not__less__eq__eq,axiom, % 3.71/3.72 ! [M,Na] : % 3.71/3.72 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) % 3.71/3.72 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M)) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_170_Suc__n__not__le__n,axiom, % 3.71/3.72 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N)),N)) ). % 3.71/3.72 % 3.71/3.72 fof(fact_171_Suc__diff__diff,axiom, % 3.71/3.72 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N)),hAPP_nat_nat(suc,K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),K_1) ). % 3.71/3.72 % 3.71/3.72 fof(fact_172_diff__Suc__Suc,axiom, % 3.71/3.72 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) ). % 3.71/3.72 % 3.71/3.72 fof(fact_173_le__diff__iff,axiom, % 3.71/3.72 ! [Na,K,M] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M)) % 3.71/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na)) % 3.71/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K))) % 3.71/3.72 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_174_Nat_Odiff__diff__eq,axiom, % 3.71/3.72 ! [N,K_1,M_1] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),M_1)) % 3.71/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) % 3.71/3.72 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_175_eq__diff__iff,axiom, % 3.71/3.72 ! [Na,K,M] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M)) % 3.71/3.72 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na)) % 3.71/3.72 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K) % 3.71/3.72 <=> M = Na ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_176_diff__diff__cancel,axiom, % 3.71/3.72 ! [I_1,N] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),N)) % 3.71/3.72 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),I_1)) = I_1 ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_177_diff__le__mono,axiom, % 3.71/3.72 ! [L_1,M_1,N] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),L_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),L_1))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_178_diff__le__mono2,axiom, % 3.71/3.72 ! [L_1,M_1,N] : % 3.71/3.72 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.72 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),M_1))) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_179_diff__le__self,axiom, % 3.71/3.72 ! [M_1,N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),M_1)) ). % 3.71/3.72 % 3.71/3.72 fof(fact_180_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A))) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_181_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A))) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_182_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A))) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_183_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A))) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_184_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A))) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_185_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.72 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_186_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_187_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_188_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.72 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_189_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_190_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A))) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_191_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_192_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_193_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_194_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_195_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_196_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A))) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_197_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.72 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_198_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_199_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_200_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.72 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A))) % 3.71/3.72 => hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_201_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_202_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_203_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_204_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_205_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_206_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A))) % 3.71/3.72 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_207_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.72 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A))) % 3.71/3.72 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_208_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A))) % 3.71/3.72 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_209_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A))) % 3.71/3.72 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_210_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A))) % 3.71/3.72 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_211_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A))) % 3.71/3.72 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_212_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A))) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_213_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A))) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_214_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A))) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_215_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A))) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_216_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)) % 3.71/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A))) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_217_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A))) % 3.71/3.72 => hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_218_finite__surj,axiom, % 3.71/3.72 ! [B,F,A] : % 3.71/3.72 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.72 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A))) % 3.71/3.72 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_219_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( is_fun_a_bool(B) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16)) % 3.71/3.72 & B = image_fun_int_bool_a(F,C_16) ) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_220_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( is_fun_a_bool(B) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16)) % 3.71/3.72 & B = image_fun_nat_bool_a(F,C_16) ) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_221_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( is_fun_a_bool(B) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( is_fun1661590463l_bool(C_16) % 3.71/3.72 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16)) % 3.71/3.72 & B = image_876012084bool_a(F,C_16) ) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_222_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( is_fun_a_bool(B) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( is_fun949378684l_bool(C_16) % 3.71/3.72 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16)) % 3.71/3.72 & B = image_fun_a_bool_a(F,C_16) ) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_223_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( is_fun_a_bool(B) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.72 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( is_fun_a_bool(C_16) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16)) % 3.71/3.72 & B = image_a_a(F,C_16) ) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_224_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) % 3.71/3.72 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_a_fun_int_bool(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( is_fun_a_bool(C_16) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16)) % 3.71/3.72 & B = image_a_fun_int_bool(F,C_16) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_225_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 3.71/3.72 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_a_fun_nat_bool(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( is_fun_a_bool(C_16) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16)) % 3.71/3.72 & B = image_a_fun_nat_bool(F,C_16) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_226_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( is_fun1661590463l_bool(B) % 3.71/3.72 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 3.71/3.72 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_819518260e_bool(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( is_fun_a_bool(C_16) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16)) % 3.71/3.72 & B = image_819518260e_bool(F,C_16) ) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_227_finite__subset__image,axiom, % 3.71/3.72 ! [F,A,B] : % 3.71/3.72 ( is_fun949378684l_bool(B) % 3.71/3.72 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 3.71/3.72 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_a_fun_a_bool(F,A))) % 3.71/3.72 => ? [C_16] : % 3.71/3.72 ( is_fun_a_bool(C_16) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A)) % 3.71/3.72 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16)) % 3.71/3.72 & B = image_a_fun_a_bool(F,C_16) ) ) ) ) ). % 3.71/3.72 % 3.71/3.72 fof(fact_228_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_pname_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_a_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16)) % 3.71/3.73 & B = image_a_pname(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_229_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_pname_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16)) % 3.71/3.73 & B = image_62782965_pname(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_230_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_pname_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16)) % 3.71/3.73 & B = image_1921560913_pname(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_231_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_pname_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun1661590463l_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16)) % 3.71/3.73 & B = image_1283814551_pname(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_232_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_pname_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun949378684l_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16)) % 3.71/3.73 & B = image_1854862208_pname(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_233_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_a_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16)) % 3.71/3.73 & B = image_a_nat(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_234_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16)) % 3.71/3.73 & B = image_1431733819ol_nat(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_235_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16)) % 3.71/3.73 & B = image_496248727ol_nat(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_236_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun1661590463l_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16)) % 3.71/3.73 & B = image_1551609309ol_nat(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_237_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun949378684l_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16)) % 3.71/3.73 & B = image_fun_a_bool_nat(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_238_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_pname_nat(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_pname_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16)) % 3.71/3.73 & B = image_pname_nat(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_239_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_a_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16)) % 3.71/3.73 & B = image_a_int(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_240_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16)) % 3.71/3.73 & B = image_2069007511ol_int(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_241_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16)) % 3.71/3.73 & B = image_1133522419ol_int(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_242_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun1661590463l_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16)) % 3.71/3.73 & B = image_41399353ol_int(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_243_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun949378684l_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16)) % 3.71/3.73 & B = image_fun_a_bool_int(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_244_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_pname_int(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_pname_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16)) % 3.71/3.73 & B = image_pname_int(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_245_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_pname_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16)) % 3.71/3.73 & B = image_1512837979t_bool(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_246_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_pname_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16)) % 3.71/3.73 & B = image_2129980159t_bool(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_247_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun1661590463l_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_pname_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16)) % 3.71/3.73 & B = image_47868345e_bool(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_248_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun949378684l_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_pname_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16)) % 3.71/3.73 & B = image_112932426a_bool(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_249_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_pname_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_pname_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16)) % 3.71/3.73 & B = image_pname_pname(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_250_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_a_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16)) % 3.71/3.73 & B = image_nat_a(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_251_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16)) % 3.71/3.73 & B = image_1556378401t_bool(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_252_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16)) % 3.71/3.73 & B = image_26036933t_bool(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_253_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun1661590463l_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16)) % 3.71/3.73 & B = image_1655916159e_bool(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_254_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun949378684l_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16)) % 3.71/3.73 & B = image_nat_fun_a_bool(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_255_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_pname_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16)) % 3.71/3.73 & B = image_nat_pname(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_256_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_a_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16)) % 3.71/3.73 & B = image_int_a(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_257_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16)) % 3.71/3.73 & B = image_275383677t_bool(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_258_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16)) % 3.71/3.73 & B = image_892525857t_bool(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_259_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun1661590463l_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16)) % 3.71/3.73 & B = image_637364955e_bool(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_260_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun949378684l_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)) % 3.71/3.73 => ( hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16)) % 3.71/3.73 & B = image_int_fun_a_bool(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_261_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_pname_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16)) % 3.71/3.73 & B = image_int_pname(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_262_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( is_fun_a_bool(B) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( is_fun_pname_bool(C_16) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16)) % 3.71/3.73 & B = image_pname_a(F,C_16) ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_263_finite__subset__image,axiom, % 3.71/3.73 ! [F,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A))) % 3.71/3.73 => ? [C_16] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16)) % 3.71/3.73 & B = image_nat_int(F,C_16) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_264_lift__Suc__mono__le,axiom, % 3.71/3.73 ! [Na,N_3,F] : % 3.71/3.73 ( ! [N_1] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,N_1)),hAPP_n1025906991e_bool(F,hAPP_nat_nat(suc,N_1)))) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 3.71/3.73 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,Na)),hAPP_n1025906991e_bool(F,N_3))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_265_lift__Suc__mono__le,axiom, % 3.71/3.73 ! [Na,N_3,F] : % 3.71/3.73 ( ! [N_1] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,N_1)),hAPP_nat_bool(F,hAPP_nat_nat(suc,N_1)))) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 3.71/3.73 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,Na)),hAPP_nat_bool(F,N_3))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_266_lift__Suc__mono__le,axiom, % 3.71/3.73 ! [Na,N_3,F] : % 3.71/3.73 ( ! [N_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,N_1)),hAPP_nat_fun_a_bool(F,hAPP_nat_nat(suc,N_1)))) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,Na)),hAPP_nat_fun_a_bool(F,N_3))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_267_lift__Suc__mono__le,axiom, % 3.71/3.73 ! [Na,N_3,F] : % 3.71/3.73 ( ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_1)))) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_3))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_268_lift__Suc__mono__le,axiom, % 3.71/3.73 ! [Na,N_3,F] : % 3.71/3.73 ( ! [N_1] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,N_1)),hAPP_nat_int(F,hAPP_nat_nat(suc,N_1)))) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,Na)),hAPP_nat_int(F,N_3))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_269_lift__Suc__mono__le,axiom, % 3.71/3.73 ! [Na,N_3,F] : % 3.71/3.73 ( ! [N_1] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,N_1)),hAPP_n1699378549t_bool(F,hAPP_nat_nat(suc,N_1)))) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,Na)),hAPP_n1699378549t_bool(F,N_3))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_270_lift__Suc__mono__le,axiom, % 3.71/3.73 ! [Na,N_3,F] : % 3.71/3.73 ( ! [N_1] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_n1082236369t_bool(F,N_1)),hAPP_n1082236369t_bool(F,hAPP_nat_nat(suc,N_1)))) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),N_3)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_n1082236369t_bool(F,Na)),hAPP_n1082236369t_bool(F,N_3))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_271_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.73 => ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f274826591t_bool(cOMBC_620423604l_bool(cOMBB_1123824708ol_nat(fequal_fun_int_bool,F)),hAPP_n1082236369t_bool(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_272_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.73 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,F)),hAPP_n1699378549t_bool(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_273_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.73 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,F)),hAPP_n1025906991e_bool(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_274_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.73 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,F)),hAPP_nat_fun_a_bool(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_275_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_a_fun_int_bool(cOMBC_int_a_bool(cOMBB_375279840ol_int(fequal_a,F)),hAPP_int_a(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_276_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.73 => ( hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(cOMBB_1761098400ol_int(fequal_fun_int_bool,F)),hAPP_i1948725293t_bool(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_277_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.73 => ( hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f183368031t_bool(cOMBC_1848398772l_bool(cOMBB_516767136ol_int(fequal_fun_nat_bool,F)),hAPP_i418383825t_bool(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_278_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.73 => ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f449020825t_bool(cOMBC_316919022l_bool(cOMBB_607112096ol_int(fequal533582459e_bool,F)),hAPP_i7355787e_bool(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_279_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.73 => ( hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f1812805200t_bool(cOMBC_1753430397l_bool(cOMBB_313729068ol_int(fequal_fun_a_bool,F)),hAPP_int_fun_a_bool(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_280_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( is_pname(X_2) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,F)),hAPP_pname_a(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_281_pigeonhole__infinite,axiom, % 3.71/3.73 ! [F,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(F,A))) % 3.71/3.73 => ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.73 & ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_i418383825t_bool(cOMBC_nat_int_bool(cOMBB_1628441366ol_nat(fequal_int,F)),hAPP_nat_int(F,X_2)))))) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_282_image__eqI,axiom, % 3.71/3.73 ! [A,B_3,F,X_1] : % 3.71/3.73 ( B_3 = hAPP_nat_int(F,X_1) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_283_image__eqI,axiom, % 3.71/3.73 ! [A,B_3,F,X_1] : % 3.71/3.73 ( B_3 = hAPP_pname_a(F,X_1) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_284_equalityI,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) % 3.71/3.73 => A = B ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_285_equalityI,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) % 3.71/3.73 => A = B ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_286_equalityI,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( ( is_fun_a_bool(A) % 3.71/3.73 & is_fun_a_bool(B) ) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) % 3.71/3.73 => A = B ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_287_subsetD,axiom, % 3.71/3.73 ! [C_6,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_288_subsetD,axiom, % 3.71/3.73 ! [C_6,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_289_subsetD,axiom, % 3.71/3.73 ! [C_6,A,B] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_290_subsetD,axiom, % 3.71/3.73 ! [C_6,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)) % 3.71/3.73 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_291_insertCI,axiom, % 3.71/3.73 ! [B_3,A_2,B] : % 3.71/3.73 ( ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B)) % 3.71/3.73 => A_2 = B_3 ) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_292_insertCI,axiom, % 3.71/3.73 ! [B_3,A_2,B] : % 3.71/3.73 ( ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B)) % 3.71/3.73 => A_2 = B_3 ) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_293_insertCI,axiom, % 3.71/3.73 ! [B_3,A_2,B] : % 3.71/3.73 ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B)) % 3.71/3.73 => A_2 = B_3 ) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_294_insertCI,axiom, % 3.71/3.73 ! [B_3,A_2,B] : % 3.71/3.73 ( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B)) % 3.71/3.73 => A_2 = B_3 ) % 3.71/3.73 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_295_insertE,axiom, % 3.71/3.73 ! [A_2,B_3,A] : % 3.71/3.73 ( ( is_a(A_2) % 3.71/3.73 & is_a(B_3) ) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A))) % 3.71/3.73 => ( A_2 != B_3 % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_296_insertE,axiom, % 3.71/3.73 ! [A_2,B_3,A] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A))) % 3.71/3.73 => ( A_2 != B_3 % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_297_insertE,axiom, % 3.71/3.73 ! [A_2,B_3,A] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A))) % 3.71/3.73 => ( A_2 != B_3 % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_298_insertE,axiom, % 3.71/3.73 ! [A_2,B_3,A] : % 3.71/3.73 ( ( is_pname(A_2) % 3.71/3.73 & is_pname(B_3) ) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A))) % 3.71/3.73 => ( A_2 != B_3 % 3.71/3.73 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_299_zero__induct__lemma,axiom, % 3.71/3.73 ! [I_2,Pa,K] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(Pa,K)) % 3.71/3.73 => ( ! [N_1] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1))) % 3.71/3.73 => hBOOL(hAPP_nat_bool(Pa,N_1)) ) % 3.71/3.73 => hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K),I_2))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_300_Suc__le__D,axiom, % 3.71/3.73 ! [N,M_4] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,N)),M_4)) % 3.71/3.73 => ? [M_2] : M_4 = hAPP_nat_nat(suc,M_2) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_301_order__refl,axiom, % 3.71/3.73 ! [X_1] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),X_1)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_302_order__refl,axiom, % 3.71/3.73 ! [X_1] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),X_1)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_303_order__refl,axiom, % 3.71/3.73 ! [X_11] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_11),X_11)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_304_order__refl,axiom, % 3.71/3.73 ! [X_11] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_11),X_11)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_305_order__refl,axiom, % 3.71/3.73 ! [X_1] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),X_1)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_306_linorder__linear,axiom, % 3.71/3.73 ! [X_10,Y_9] : % 3.71/3.73 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_10),Y_9)) % 3.71/3.73 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_9),X_10)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_307_linorder__linear,axiom, % 3.71/3.73 ! [X_10,Y_9] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_10),Y_9)) % 3.71/3.73 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_9),X_10)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_308_order__eq__iff,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( X_1 = Y_1 % 3.71/3.73 <=> ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_309_order__eq__iff,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( X_1 = Y_1 % 3.71/3.73 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_310_order__eq__iff,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( X_1 = Y_1 % 3.71/3.73 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_1),Y_1)) % 3.71/3.73 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_1),X_1)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_311_order__eq__iff,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( X_1 = Y_1 % 3.71/3.73 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),Y_1)) % 3.71/3.73 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_1),X_1)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_312_order__eq__iff,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( ( is_fun_a_bool(X_1) % 3.71/3.73 & is_fun_a_bool(Y_1) ) % 3.71/3.73 => ( X_1 = Y_1 % 3.71/3.73 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_313_order__eq__refl,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( X_1 = Y_1 % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_314_order__eq__refl,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( X_1 = Y_1 % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_315_order__eq__refl,axiom, % 3.71/3.73 ! [X_9,Y_8] : % 3.71/3.73 ( X_9 = Y_8 % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_9),Y_8)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_316_order__eq__refl,axiom, % 3.71/3.73 ! [X_9,Y_8] : % 3.71/3.73 ( X_9 = Y_8 % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_9),Y_8)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_317_order__eq__refl,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( X_1 = Y_1 % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_318_order__antisym__conv,axiom, % 3.71/3.73 ! [Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)) % 3.71/3.73 <=> X_1 = Y_1 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_319_order__antisym__conv,axiom, % 3.71/3.73 ! [Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)) % 3.71/3.73 <=> X_1 = Y_1 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_320_order__antisym__conv,axiom, % 3.71/3.73 ! [Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_1),Y_1)) % 3.71/3.73 <=> X_1 = Y_1 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_321_order__antisym__conv,axiom, % 3.71/3.73 ! [Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),Y_1)) % 3.71/3.73 <=> X_1 = Y_1 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_322_order__antisym__conv,axiom, % 3.71/3.73 ! [Y_1,X_1] : % 3.71/3.73 ( ( is_fun_a_bool(Y_1) % 3.71/3.73 & is_fun_a_bool(X_1) ) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)) % 3.71/3.73 <=> X_1 = Y_1 ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_323_ord__eq__le__trans,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( A_2 = B_3 % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_3),C_6)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),C_6)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_324_ord__eq__le__trans,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( A_2 = B_3 % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_3),C_6)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),C_6)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_325_ord__eq__le__trans,axiom, % 3.71/3.73 ! [C_15,A_21,B_19] : % 3.71/3.73 ( A_21 = B_19 % 3.71/3.73 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_19),C_15)) % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_21),C_15)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_326_ord__eq__le__trans,axiom, % 3.71/3.73 ! [C_15,A_21,B_19] : % 3.71/3.73 ( A_21 = B_19 % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_19),C_15)) % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_21),C_15)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_327_ord__eq__le__trans,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( A_2 = B_3 % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_3),C_6)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),C_6)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_328_xt1_I3_J,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( A_2 = B_3 % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),B_3)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),A_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_329_xt1_I3_J,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( A_2 = B_3 % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),B_3)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),A_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_330_xt1_I3_J,axiom, % 3.71/3.73 ! [C_14,A_20,B_18] : % 3.71/3.73 ( A_20 = B_18 % 3.71/3.73 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_14),B_18)) % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_14),A_20)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_331_xt1_I3_J,axiom, % 3.71/3.73 ! [C_14,A_20,B_18] : % 3.71/3.73 ( A_20 = B_18 % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_14),B_18)) % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_14),A_20)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_332_xt1_I3_J,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( A_2 = B_3 % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),B_3)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),A_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_333_ord__le__eq__trans,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),B_3)) % 3.71/3.73 => ( B_3 = C_6 % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),C_6)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_334_ord__le__eq__trans,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),B_3)) % 3.71/3.73 => ( B_3 = C_6 % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),C_6)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_335_ord__le__eq__trans,axiom, % 3.71/3.73 ! [C_13,A_19,B_17] : % 3.71/3.73 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_19),B_17)) % 3.71/3.73 => ( B_17 = C_13 % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_19),C_13)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_336_ord__le__eq__trans,axiom, % 3.71/3.73 ! [C_13,A_19,B_17] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_19),B_17)) % 3.71/3.73 => ( B_17 = C_13 % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_19),C_13)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_337_ord__le__eq__trans,axiom, % 3.71/3.73 ! [C_6,A_2,B_3] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),B_3)) % 3.71/3.73 => ( B_3 = C_6 % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),C_6)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_338_xt1_I4_J,axiom, % 3.71/3.73 ! [C_6,B_3,A_2] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_3),A_2)) % 3.71/3.73 => ( B_3 = C_6 % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),A_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_339_xt1_I4_J,axiom, % 3.71/3.73 ! [C_6,B_3,A_2] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_3),A_2)) % 3.71/3.73 => ( B_3 = C_6 % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),A_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_340_xt1_I4_J,axiom, % 3.71/3.73 ! [C_12,B_16,A_18] : % 3.71/3.73 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_16),A_18)) % 3.71/3.73 => ( B_16 = C_12 % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_12),A_18)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_341_xt1_I4_J,axiom, % 3.71/3.73 ! [C_12,B_16,A_18] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_16),A_18)) % 3.71/3.73 => ( B_16 = C_12 % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_12),A_18)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_342_xt1_I4_J,axiom, % 3.71/3.73 ! [C_6,B_3,A_2] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_3),A_2)) % 3.71/3.73 => ( B_3 = C_6 % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),A_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_343_order__antisym,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1)) % 3.71/3.73 => X_1 = Y_1 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_344_order__antisym,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1)) % 3.71/3.73 => X_1 = Y_1 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_345_order__antisym,axiom, % 3.71/3.73 ! [X_8,Y_7] : % 3.71/3.73 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_8),Y_7)) % 3.71/3.73 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_7),X_8)) % 3.71/3.73 => X_8 = Y_7 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_346_order__antisym,axiom, % 3.71/3.73 ! [X_8,Y_7] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_8),Y_7)) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_7),X_8)) % 3.71/3.73 => X_8 = Y_7 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_347_order__antisym,axiom, % 3.71/3.73 ! [X_1,Y_1] : % 3.71/3.73 ( ( is_fun_a_bool(X_1) % 3.71/3.73 & is_fun_a_bool(Y_1) ) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)) % 3.71/3.73 => X_1 = Y_1 ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_348_order__trans,axiom, % 3.71/3.73 ! [Z_2,X_1,Y_1] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),Z_2)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Z_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_349_order__trans,axiom, % 3.71/3.73 ! [Z_2,X_1,Y_1] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),Z_2)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Z_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_350_order__trans,axiom, % 3.71/3.73 ! [Z_6,X_7,Y_6] : % 3.71/3.73 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_7),Y_6)) % 3.71/3.73 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_6),Z_6)) % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_7),Z_6)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_351_order__trans,axiom, % 3.71/3.73 ! [Z_6,X_7,Y_6] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_7),Y_6)) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_6),Z_6)) % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_7),Z_6)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_352_order__trans,axiom, % 3.71/3.73 ! [Z_2,X_1,Y_1] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),Z_2)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Z_2)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_353_xt1_I5_J,axiom, % 3.71/3.73 ! [Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)) % 3.71/3.73 => X_1 = Y_1 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_354_xt1_I5_J,axiom, % 3.71/3.73 ! [Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)) % 3.71/3.73 => X_1 = Y_1 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_355_xt1_I5_J,axiom, % 3.71/3.73 ! [Y_5,X_6] : % 3.71/3.73 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_5),X_6)) % 3.71/3.73 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_6),Y_5)) % 3.71/3.73 => X_6 = Y_5 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_356_xt1_I5_J,axiom, % 3.71/3.73 ! [Y_5,X_6] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_5),X_6)) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_6),Y_5)) % 3.71/3.73 => X_6 = Y_5 ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_357_xt1_I5_J,axiom, % 3.71/3.73 ! [Y_1,X_1] : % 3.71/3.73 ( ( is_fun_a_bool(Y_1) % 3.71/3.73 & is_fun_a_bool(X_1) ) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)) % 3.71/3.73 => X_1 = Y_1 ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_358_xt1_I6_J,axiom, % 3.71/3.73 ! [Z_2,Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Y_1)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),X_1)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_359_xt1_I6_J,axiom, % 3.71/3.73 ! [Z_2,Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Y_1)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),X_1)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_360_xt1_I6_J,axiom, % 3.71/3.73 ! [Z_5,Y_4,X_5] : % 3.71/3.73 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_4),X_5)) % 3.71/3.73 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_5),Y_4)) % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_5),X_5)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_361_xt1_I6_J,axiom, % 3.71/3.73 ! [Z_5,Y_4,X_5] : % 3.71/3.73 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_4),X_5)) % 3.71/3.73 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_5),Y_4)) % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_5),X_5)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_362_xt1_I6_J,axiom, % 3.71/3.73 ! [Z_2,Y_1,X_1] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_2),Y_1)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_2),X_1)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_363_linorder__le__cases,axiom, % 3.71/3.73 ! [X_4,Y_3] : % 3.71/3.73 ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_4),Y_3)) % 3.71/3.73 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_3),X_4)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_364_linorder__le__cases,axiom, % 3.71/3.73 ! [X_4,Y_3] : % 3.71/3.73 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_4),Y_3)) % 3.71/3.73 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_3),X_4)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_365_insertI1,axiom, % 3.71/3.73 ! [A_2,B] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_366_insertI1,axiom, % 3.71/3.73 ! [A_2,B] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_367_insertI1,axiom, % 3.71/3.73 ! [A_2,B] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_368_insertI1,axiom, % 3.71/3.73 ! [A_2,B] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_369_insert__compr,axiom, % 3.71/3.73 ! [A_2,B] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_370_insert__compr,axiom, % 3.71/3.73 ! [A_2,B] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_371_insert__compr,axiom, % 3.71/3.73 ! [A_2,B] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_372_insert__compr,axiom, % 3.71/3.73 ! [A_2,B] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),A_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_373_insert__Collect,axiom, % 3.71/3.73 ! [A_2,Pa] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),collect_a(Pa)) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2))),Pa)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_374_insert__Collect,axiom, % 3.71/3.73 ! [A_2,Pa] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),collect_int(Pa)) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fimplies,cOMBB_bool_bool_int(fNot,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2))),Pa)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_375_insert__Collect,axiom, % 3.71/3.73 ! [A_2,Pa] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),collect_nat(Pa)) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2))),Pa)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_376_mem__def,axiom, % 3.71/3.73 ! [X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.73 <=> hBOOL(hAPP_int_bool(A,X_1)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_377_mem__def,axiom, % 3.71/3.73 ! [X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 <=> hBOOL(hAPP_nat_bool(A,X_1)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_378_mem__def,axiom, % 3.71/3.73 ! [X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.73 <=> hBOOL(hAPP_a_bool(A,X_1)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_379_mem__def,axiom, % 3.71/3.73 ! [X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 <=> hBOOL(hAPP_pname_bool(A,X_1)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_380_Collect__def,axiom, % 3.71/3.73 ! [Pa] : collect_int(Pa) = Pa ). % 3.71/3.73 % 3.71/3.73 fof(fact_381_Collect__def,axiom, % 3.71/3.73 ! [Pa] : collect_nat(Pa) = Pa ). % 3.71/3.73 % 3.71/3.73 fof(fact_382_insert__absorb2,axiom, % 3.71/3.73 ! [X_1,A] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A) ). % 3.71/3.73 % 3.71/3.73 fof(fact_383_insert__commute,axiom, % 3.71/3.73 ! [X_1,Y_1,A] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_384_insert__iff,axiom, % 3.71/3.73 ! [A_2,B_3,A] : % 3.71/3.73 ( ( is_a(A_2) % 3.71/3.73 & is_a(B_3) ) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A))) % 3.71/3.73 <=> ( A_2 = B_3 % 3.71/3.73 | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_385_insert__iff,axiom, % 3.71/3.73 ! [A_2,B_3,A] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A))) % 3.71/3.73 <=> ( A_2 = B_3 % 3.71/3.73 | hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_386_insert__iff,axiom, % 3.71/3.73 ! [A_2,B_3,A] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A))) % 3.71/3.73 <=> ( A_2 = B_3 % 3.71/3.73 | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_387_insert__iff,axiom, % 3.71/3.73 ! [A_2,B_3,A] : % 3.71/3.73 ( ( is_pname(A_2) % 3.71/3.73 & is_pname(B_3) ) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A))) % 3.71/3.73 <=> ( A_2 = B_3 % 3.71/3.73 | hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_388_insert__code,axiom, % 3.71/3.73 ! [Y_1,A,X_1] : % 3.71/3.73 ( ( is_a(Y_1) % 3.71/3.73 & is_a(X_1) ) % 3.71/3.73 => ( hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A),X_1)) % 3.71/3.73 <=> ( Y_1 = X_1 % 3.71/3.73 | hBOOL(hAPP_a_bool(A,X_1)) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_389_insert__ident,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( ( is_fun_a_bool(B) % 3.71/3.73 & is_fun_a_bool(A) ) % 3.71/3.73 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.73 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) % 3.71/3.73 => ( hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B) % 3.71/3.73 <=> A = B ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_390_insert__ident,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.73 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) % 3.71/3.73 => ( hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B) % 3.71/3.73 <=> A = B ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_391_insert__ident,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) % 3.71/3.73 => ( hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B) % 3.71/3.73 <=> A = B ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_392_insert__ident,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( ( is_fun_pname_bool(B) % 3.71/3.73 & is_fun_pname_bool(A) ) % 3.71/3.73 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) % 3.71/3.73 => ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B) % 3.71/3.73 <=> A = B ) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_393_insertI2,axiom, % 3.71/3.73 ! [B_3,A_2,B] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_394_insertI2,axiom, % 3.71/3.73 ! [B_3,A_2,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_395_insertI2,axiom, % 3.71/3.73 ! [B_3,A_2,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_396_insertI2,axiom, % 3.71/3.73 ! [B_3,A_2,B] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B)) % 3.71/3.73 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_397_insert__absorb,axiom, % 3.71/3.73 ! [A_2,A] : % 3.71/3.73 ( is_fun_a_bool(A) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) % 3.71/3.73 => hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A) = A ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_398_insert__absorb,axiom, % 3.71/3.73 ! [A_2,A] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) % 3.71/3.73 => hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A) = A ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_399_insert__absorb,axiom, % 3.71/3.73 ! [A_2,A] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) % 3.71/3.73 => hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A) = A ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_400_insert__absorb,axiom, % 3.71/3.73 ! [A_2,A] : % 3.71/3.73 ( is_fun_pname_bool(A) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) % 3.71/3.73 => hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A) = A ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_401_subset__refl,axiom, % 3.71/3.73 ! [A] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),A)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_402_subset__refl,axiom, % 3.71/3.73 ! [A] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),A)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_403_subset__refl,axiom, % 3.71/3.73 ! [A] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),A)) ). % 3.71/3.73 % 3.71/3.73 fof(fact_404_set__eq__subset,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 <=> ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_405_set__eq__subset,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_406_set__eq__subset,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( ( is_fun_a_bool(A) % 3.71/3.73 & is_fun_a_bool(B) ) % 3.71/3.73 => ( A = B % 3.71/3.73 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_407_equalityD1,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_408_equalityD1,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_409_equalityD1,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_410_equalityD2,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_411_equalityD2,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_412_equalityD2,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_413_in__mono,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_414_in__mono,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_415_in__mono,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_416_in__mono,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_417_set__rev__mp,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_418_set__rev__mp,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_419_set__rev__mp,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_420_set__rev__mp,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.71/3.73 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_421_set__mp,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_422_set__mp,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_423_set__mp,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_424_set__mp,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_425_subset__trans,axiom, % 3.71/3.73 ! [C_11,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C_11)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C_11)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_426_subset__trans,axiom, % 3.71/3.73 ! [C_11,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C_11)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C_11)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_427_subset__trans,axiom, % 3.71/3.73 ! [C_11,A,B] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C_11)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C_11)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_428_equalityE,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => ~ ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 => ~ hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_429_equalityE,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_430_equalityE,axiom, % 3.71/3.73 ! [A,B] : % 3.71/3.73 ( A = B % 3.71/3.73 => ~ ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_431_image__iff,axiom, % 3.71/3.73 ! [Z_2,F,A] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Z_2),image_nat_int(F,A))) % 3.71/3.73 <=> ? [X_2] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.73 & Z_2 = hAPP_nat_int(F,X_2) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_432_image__iff,axiom, % 3.71/3.73 ! [Z_2,F,A] : % 3.71/3.73 ( is_a(Z_2) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_2),image_pname_a(F,A))) % 3.71/3.73 <=> ? [X_2] : % 3.71/3.73 ( is_pname(X_2) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 3.71/3.73 & Z_2 = hAPP_pname_a(F,X_2) ) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_433_imageI,axiom, % 3.71/3.73 ! [F,X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(F,X_1)),image_nat_int(F,A))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_434_imageI,axiom, % 3.71/3.73 ! [F,X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_435_rev__image__eqI,axiom, % 3.71/3.73 ! [B_3,F,X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 => ( B_3 = hAPP_nat_int(F,X_1) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_436_rev__image__eqI,axiom, % 3.71/3.73 ! [B_3,F,X_1,A] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 => ( B_3 = hAPP_pname_a(F,X_1) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_437_insert__compr__raw,axiom, % 3.71/3.73 ! [X_2,Xa] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),Xa) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X_2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Xa))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_438_insert__compr__raw,axiom, % 3.71/3.73 ! [X_2,Xa] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),Xa) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),X_2)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),Xa))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_439_insert__compr__raw,axiom, % 3.71/3.73 ! [X_2,Xa] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),Xa) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X_2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),Xa))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_440_insert__compr__raw,axiom, % 3.71/3.73 ! [X_2,Xa] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),Xa) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),Xa))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_441_le__fun__def,axiom, % 3.71/3.73 ! [F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1)) % 3.71/3.73 <=> ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(F,X_2)),hAPP_int_bool(G_1,X_2))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_442_le__fun__def,axiom, % 3.71/3.73 ! [F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1)) % 3.71/3.73 <=> ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G_1,X_2))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_443_le__fun__def,axiom, % 3.71/3.73 ! [F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1)) % 3.71/3.73 <=> ! [X_2] : % 3.71/3.73 ( is_a(X_2) % 3.71/3.73 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_2)),hAPP_a_bool(G_1,X_2))) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_444_le__funD,axiom, % 3.71/3.73 ! [X_1,F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1)) % 3.71/3.73 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G_1,X_1))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_445_le__funD,axiom, % 3.71/3.73 ! [X_1,F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1)) % 3.71/3.73 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_446_le__funD,axiom, % 3.71/3.73 ! [X_1,F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1)) % 3.71/3.73 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_447_le__funE,axiom, % 3.71/3.73 ! [X_1,F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1)) % 3.71/3.73 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G_1,X_1))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_448_le__funE,axiom, % 3.71/3.73 ! [X_1,F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1)) % 3.71/3.73 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_449_le__funE,axiom, % 3.71/3.73 ! [X_1,F,G_1] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1)) % 3.71/3.73 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_450_subset__insertI,axiom, % 3.71/3.73 ! [B,A_2] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_451_subset__insertI,axiom, % 3.71/3.73 ! [B,A_2] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_452_subset__insertI,axiom, % 3.71/3.73 ! [B,A_2] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))) ). % 3.71/3.73 % 3.71/3.73 fof(fact_453_insert__subset,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B)) % 3.71/3.73 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) % 3.71/3.73 & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_454_insert__subset,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B)) % 3.71/3.73 <=> ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) % 3.71/3.73 & hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_455_insert__subset,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B)) % 3.71/3.73 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) % 3.71/3.73 & hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_456_insert__subset,axiom, % 3.71/3.73 ! [X_1,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B)) % 3.71/3.73 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) % 3.71/3.73 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_457_subset__insert,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.73 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B))) % 3.71/3.73 <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_458_subset__insert,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.73 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B))) % 3.71/3.73 <=> hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_459_subset__insert,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.73 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B))) % 3.71/3.73 <=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_460_subset__insert,axiom, % 3.71/3.73 ! [B,X_1,A] : % 3.71/3.73 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.73 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B))) % 3.71/3.73 <=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_461_subset__insertI2,axiom, % 3.71/3.73 ! [B_3,A,B] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_462_subset__insertI2,axiom, % 3.71/3.73 ! [B_3,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_463_subset__insertI2,axiom, % 3.71/3.73 ! [B_3,A,B] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_464_insert__mono,axiom, % 3.71/3.73 ! [A_2,C_11,D_4] : % 3.71/3.73 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_11),D_4)) % 3.71/3.73 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),C_11)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),D_4))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_465_insert__mono,axiom, % 3.71/3.73 ! [A_2,C_11,D_4] : % 3.71/3.73 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_11),D_4)) % 3.71/3.73 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),C_11)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),D_4))) ) ). % 3.71/3.73 % 3.71/3.73 fof(fact_466_insert__mono,axiom, % 3.71/3.73 ! [A_2,C_11,D_4] : % 3.71/3.73 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_11),D_4)) % 3.71/3.73 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),C_11)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),D_4))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_467_image__insert,axiom, % 3.71/3.74 ! [F,A_2,B] : image_nat_int(F,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,hAPP_nat_int(F,A_2)),image_nat_int(F,B)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_468_image__insert,axiom, % 3.71/3.74 ! [F,A_2,B] : image_pname_a(F,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,A_2)),image_pname_a(F,B)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_469_insert__image,axiom, % 3.71/3.74 ! [F,X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.74 => hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,hAPP_nat_int(F,X_1)),image_nat_int(F,A)) = image_nat_int(F,A) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_470_insert__image,axiom, % 3.71/3.74 ! [F,X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.74 => hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A)) = image_pname_a(F,A) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_471_subset__image__iff,axiom, % 3.71/3.74 ! [B,F,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A))) % 3.71/3.74 <=> ? [AA] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,AA),A)) % 3.71/3.74 & B = image_nat_int(F,AA) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_472_subset__image__iff,axiom, % 3.71/3.74 ! [B,F,A] : % 3.71/3.74 ( is_fun_a_bool(B) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A))) % 3.71/3.74 <=> ? [AA] : % 3.71/3.74 ( is_fun_pname_bool(AA) % 3.71/3.74 & hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A)) % 3.71/3.74 & B = image_pname_a(F,AA) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_473_image__mono,axiom, % 3.71/3.74 ! [F,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(F,A)),image_nat_int(F,B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_474_image__mono,axiom, % 3.71/3.74 ! [F,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),image_pname_a(F,B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_475_imageE,axiom, % 3.71/3.74 ! [B_3,F,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))) % 3.71/3.74 => ~ ! [X_2] : % 3.71/3.74 ( B_3 = hAPP_nat_int(F,X_2) % 3.71/3.74 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_476_imageE,axiom, % 3.71/3.74 ! [B_3,F,A] : % 3.71/3.74 ( is_a(B_3) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))) % 3.71/3.74 => ~ ! [X_2] : % 3.71/3.74 ( is_pname(X_2) % 3.71/3.74 => ( B_3 = hAPP_pname_a(F,X_2) % 3.71/3.74 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_477_subsetI,axiom, % 3.71/3.74 ! [B,A] : % 3.71/3.74 ( ! [X_2] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),B)) ) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_478_subsetI,axiom, % 3.71/3.74 ! [B,A] : % 3.71/3.74 ( ! [X_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B)) ) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_479_subsetI,axiom, % 3.71/3.74 ! [B,A] : % 3.71/3.74 ( ! [X_2] : % 3.71/3.74 ( is_a(X_2) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B)) ) ) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_480_subsetI,axiom, % 3.71/3.74 ! [B,A] : % 3.71/3.74 ( ! [X_2] : % 3.71/3.74 ( is_pname(X_2) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)) ) ) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_481_image__subsetI,axiom, % 3.71/3.74 ! [F,B,A] : % 3.71/3.74 ( ! [X_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(F,X_2)),B)) ) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(F,A)),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_482_image__subsetI,axiom, % 3.71/3.74 ! [F,B,A] : % 3.71/3.74 ( ! [X_2] : % 3.71/3.74 ( is_pname(X_2) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_2)),B)) ) ) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_483_le__funI,axiom, % 3.71/3.74 ! [F,G_1] : % 3.71/3.74 ( ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(F,X_2)),hAPP_int_bool(G_1,X_2))) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_484_le__funI,axiom, % 3.71/3.74 ! [F,G_1] : % 3.71/3.74 ( ! [X_2] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G_1,X_2))) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_485_le__funI,axiom, % 3.71/3.74 ! [F,G_1] : % 3.71/3.74 ( ! [X_2] : % 3.71/3.74 ( is_a(X_2) % 3.71/3.74 => hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(F,X_2)),hAPP_a_bool(G_1,X_2))) ) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_486_finite__nat__set__iff__bounded__le,axiom, % 3.71/3.74 ! [N_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2)) % 3.71/3.74 <=> ? [M_2] : % 3.71/3.74 ! [X_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),M_2)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_487_assms_I3_J,axiom, % 3.71/3.74 ! [G,C_6] : % 3.71/3.74 ( hBOOL(wt(C_6)) % 3.71/3.74 => ( ! [X_2] : % 3.71/3.74 ( is_pname(X_2) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),u)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,X_2)),bot_bot_fun_a_bool))) ) ) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(C_6)),bot_bot_fun_a_bool))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_488_diff__eq__diff__less__eq,axiom, % 3.71/3.74 ! [A_2,B_3,C_6,D_1] : % 3.71/3.74 ( hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1) % 3.71/3.74 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_2),B_3)) % 3.71/3.74 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_6),D_1)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_489_less__eq__nat_Osimps_I2_J,axiom, % 3.71/3.74 ! [M,Na] : % 3.71/3.74 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M)),Na)) % 3.71/3.74 <=> hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,M)),Na)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_490_emptyE,axiom, % 3.71/3.74 ! [A_2] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),bot_bot_fun_int_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_491_emptyE,axiom, % 3.71/3.74 ! [A_2] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),bot_bot_fun_nat_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_492_emptyE,axiom, % 3.71/3.74 ! [A_2] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),bot_bot_fun_a_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_493_emptyE,axiom, % 3.71/3.74 ! [A_2] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),bot_bo844097828e_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_494_finite__Diff,axiom, % 3.71/3.74 ! [B,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_495_finite__Diff,axiom, % 3.71/3.74 ! [B,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_496_finite__Diff,axiom, % 3.71/3.74 ! [B,A] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_497_finite_OemptyI,axiom, % 3.71/3.74 hBOOL(hAPP_f448129468l_bool(finite_finite_int,bot_bot_fun_int_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_498_finite_OemptyI,axiom, % 3.71/3.74 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_499_finite_OemptyI,axiom, % 3.71/3.74 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_500_finite_OemptyI,axiom, % 3.71/3.74 hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_501_empty__subsetI,axiom, % 3.71/3.74 ! [A] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_502_empty__subsetI,axiom, % 3.71/3.74 ! [A] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_503_empty__subsetI,axiom, % 3.71/3.74 ! [A] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_504_equals0D,axiom, % 3.71/3.74 ! [A_2,A] : % 3.71/3.74 ( A = bot_bot_fun_int_bool % 3.71/3.74 => ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_505_equals0D,axiom, % 3.71/3.74 ! [A_2,A] : % 3.71/3.74 ( A = bot_bot_fun_nat_bool % 3.71/3.74 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_506_equals0D,axiom, % 3.71/3.74 ! [A_2,A] : % 3.71/3.74 ( A = bot_bot_fun_a_bool % 3.71/3.74 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_507_equals0D,axiom, % 3.71/3.74 ! [A_2,A] : % 3.71/3.74 ( A = bot_bo844097828e_bool % 3.71/3.74 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_508_Collect__empty__eq,axiom, % 3.71/3.74 ! [Pa] : % 3.71/3.74 ( collect_int(Pa) = bot_bot_fun_int_bool % 3.71/3.74 <=> ! [X_2] : ~ hBOOL(hAPP_int_bool(Pa,X_2)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_509_Collect__empty__eq,axiom, % 3.71/3.74 ! [Pa] : % 3.71/3.74 ( collect_nat(Pa) = bot_bot_fun_nat_bool % 3.71/3.74 <=> ! [X_2] : ~ hBOOL(hAPP_nat_bool(Pa,X_2)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_510_Collect__empty__eq,axiom, % 3.71/3.74 ! [Pa] : % 3.71/3.74 ( collect_a(Pa) = bot_bot_fun_a_bool % 3.71/3.74 <=> ! [X_2] : % 3.71/3.74 ( is_a(X_2) % 3.71/3.74 => ~ hBOOL(hAPP_a_bool(Pa,X_2)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_511_Diff__cancel,axiom, % 3.71/3.74 ! [A] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),A) = bot_bot_fun_nat_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_512_Diff__cancel,axiom, % 3.71/3.74 ! [A] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),A) = bot_bot_fun_int_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_513_Diff__cancel,axiom, % 3.71/3.74 ! [A] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),A) = bot_bot_fun_a_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_514_Diff__empty,axiom, % 3.71/3.74 ! [A] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),bot_bot_fun_nat_bool) = A ). % 3.71/3.74 % 3.71/3.74 fof(fact_515_Diff__empty,axiom, % 3.71/3.74 ! [A] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),bot_bot_fun_int_bool) = A ). % 3.71/3.74 % 3.71/3.74 fof(fact_516_Diff__empty,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),bot_bot_fun_a_bool) = A ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_517_empty__iff,axiom, % 3.71/3.74 ! [C_6] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),bot_bot_fun_int_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_518_empty__iff,axiom, % 3.71/3.74 ! [C_6] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),bot_bot_fun_nat_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_519_empty__iff,axiom, % 3.71/3.74 ! [C_6] : ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),bot_bot_fun_a_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_520_empty__iff,axiom, % 3.71/3.74 ! [C_6] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),bot_bo844097828e_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_521_empty__Collect__eq,axiom, % 3.71/3.74 ! [Pa] : % 3.71/3.74 ( bot_bot_fun_int_bool = collect_int(Pa) % 3.71/3.74 <=> ! [X_2] : ~ hBOOL(hAPP_int_bool(Pa,X_2)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_522_empty__Collect__eq,axiom, % 3.71/3.74 ! [Pa] : % 3.71/3.74 ( bot_bot_fun_nat_bool = collect_nat(Pa) % 3.71/3.74 <=> ! [X_2] : ~ hBOOL(hAPP_nat_bool(Pa,X_2)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_523_empty__Collect__eq,axiom, % 3.71/3.74 ! [Pa] : % 3.71/3.74 ( bot_bot_fun_a_bool = collect_a(Pa) % 3.71/3.74 <=> ! [X_2] : % 3.71/3.74 ( is_a(X_2) % 3.71/3.74 => ~ hBOOL(hAPP_a_bool(Pa,X_2)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_524_empty__Diff,axiom, % 3.71/3.74 ! [A] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,bot_bot_fun_nat_bool),A) = bot_bot_fun_nat_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_525_empty__Diff,axiom, % 3.71/3.74 ! [A] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,bot_bot_fun_int_bool),A) = bot_bot_fun_int_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_526_empty__Diff,axiom, % 3.71/3.74 ! [A] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,bot_bot_fun_a_bool),A) = bot_bot_fun_a_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_527_ex__in__conv,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( ? [X_2] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)) % 3.71/3.74 <=> A != bot_bot_fun_int_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_528_ex__in__conv,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( ? [X_2] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.74 <=> A != bot_bot_fun_nat_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_529_ex__in__conv,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => ( ? [X_2] : % 3.71/3.74 ( is_a(X_2) % 3.71/3.74 & hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) ) % 3.71/3.74 <=> A != bot_bot_fun_a_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_530_ex__in__conv,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( is_fun_pname_bool(A) % 3.71/3.74 => ( ? [X_2] : % 3.71/3.74 ( is_pname(X_2) % 3.71/3.74 & hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) ) % 3.71/3.74 <=> A != bot_bo844097828e_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_531_all__not__in__conv,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( ! [X_2] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)) % 3.71/3.74 <=> A = bot_bot_fun_int_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_532_all__not__in__conv,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( ! [X_2] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)) % 3.71/3.74 <=> A = bot_bot_fun_nat_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_533_all__not__in__conv,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => ( ! [X_2] : % 3.71/3.74 ( is_a(X_2) % 3.71/3.74 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A)) ) % 3.71/3.74 <=> A = bot_bot_fun_a_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_534_all__not__in__conv,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( is_fun_pname_bool(A) % 3.71/3.74 => ( ! [X_2] : % 3.71/3.74 ( is_pname(X_2) % 3.71/3.74 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A)) ) % 3.71/3.74 <=> A = bot_bo844097828e_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_535_bot__apply,axiom, % 3.71/3.74 ! [X_1] : % 3.71/3.74 ( hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1)) % 3.71/3.74 <=> hBOOL(bot_bot_bool) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_536_bot__apply,axiom, % 3.71/3.74 ! [X_1] : % 3.71/3.74 ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_1)) % 3.71/3.74 <=> hBOOL(bot_bot_bool) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_537_bot__apply,axiom, % 3.71/3.74 ! [X_1] : % 3.71/3.74 ( hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1)) % 3.71/3.74 <=> hBOOL(bot_bot_bool) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_538_empty__def,axiom, % 3.71/3.74 bot_bot_fun_int_bool = collect_int(cOMBK_bool_int(fFalse)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_539_empty__def,axiom, % 3.71/3.74 bot_bot_fun_nat_bool = collect_nat(cOMBK_bool_nat(fFalse)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_540_empty__def,axiom, % 3.71/3.74 bot_bot_fun_a_bool = collect_a(cOMBK_bool_a(fFalse)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_541_bot__fun__def,axiom, % 3.71/3.74 ! [X_2] : % 3.71/3.74 ( hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_2)) % 3.71/3.74 <=> hBOOL(bot_bot_bool) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_542_bot__fun__def,axiom, % 3.71/3.74 ! [X_2] : % 3.71/3.74 ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_2)) % 3.71/3.74 <=> hBOOL(bot_bot_bool) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_543_bot__fun__def,axiom, % 3.71/3.74 ! [X_2] : % 3.71/3.74 ( hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_2)) % 3.71/3.74 <=> hBOOL(bot_bot_bool) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_544_insert__Diff,axiom, % 3.71/3.74 ! [A_2,A] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) % 3.71/3.74 => hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))) = A ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_545_insert__Diff,axiom, % 3.71/3.74 ! [A_2,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) % 3.71/3.74 => hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))) = A ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_546_insert__Diff,axiom, % 3.71/3.74 ! [A_2,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) % 3.71/3.74 => hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))) = A ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_547_insert__Diff,axiom, % 3.71/3.74 ! [A_2,A] : % 3.71/3.74 ( is_fun_pname_bool(A) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) % 3.71/3.74 => hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool))) = A ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_548_Diff__insert__absorb,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.74 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = A ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_549_Diff__insert__absorb,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.74 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = A ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_550_Diff__insert__absorb,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.74 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = A ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_551_Diff__insert__absorb,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( is_fun_pname_bool(A) % 3.71/3.74 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.74 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = A ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_552_insert__Diff__single,axiom, % 3.71/3.74 ! [A_2,A] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A) ). % 3.71/3.74 % 3.71/3.74 fof(fact_553_insert__Diff__single,axiom, % 3.71/3.74 ! [A_2,A] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A) ). % 3.71/3.74 % 3.71/3.74 fof(fact_554_insert__Diff__single,axiom, % 3.71/3.74 ! [A_2,A] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A) ). % 3.71/3.74 % 3.71/3.74 fof(fact_555_Diff__insert2,axiom, % 3.71/3.74 ! [A,A_2,B] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)) = hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))),B) ). % 3.71/3.74 % 3.71/3.74 fof(fact_556_Diff__insert2,axiom, % 3.71/3.74 ! [A,A_2,B] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)) = hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))),B) ). % 3.71/3.74 % 3.71/3.74 fof(fact_557_Diff__insert2,axiom, % 3.71/3.74 ! [A,A_2,B] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)) = hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))),B) ). % 3.71/3.74 % 3.71/3.74 fof(fact_558_Diff__insert,axiom, % 3.71/3.74 ! [A,A_2,B] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)) = hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_559_Diff__insert,axiom, % 3.71/3.74 ! [A,A_2,B] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)) = hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_560_Diff__insert,axiom, % 3.71/3.74 ! [A,A_2,B] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)) = hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_561_diff__single__insert,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_562_diff__single__insert,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_563_diff__single__insert,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_564_diff__single__insert,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_565_subset__insert__iff,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B))) % 3.71/3.74 <=> ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B)) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_566_subset__insert__iff,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B))) % 3.71/3.74 <=> ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B)) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_567_subset__insert__iff,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B))) % 3.71/3.74 <=> ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B)) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_568_subset__insert__iff,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B))) % 3.71/3.74 <=> ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B)) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_569_finite__Diff2,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) % 3.71/3.74 <=> hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_570_finite__Diff2,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) % 3.71/3.74 <=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_571_finite__Diff2,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) % 3.71/3.74 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_572_insert__Diff1,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) % 3.71/3.74 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B) = hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_573_insert__Diff1,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) % 3.71/3.74 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B) = hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_574_insert__Diff1,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) % 3.71/3.74 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B) = hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_575_insert__Diff1,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) % 3.71/3.74 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_576_insert__Diff__if,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) % 3.71/3.74 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B) = hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)) % 3.71/3.74 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_577_insert__Diff__if,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) % 3.71/3.74 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B) = hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)) % 3.71/3.74 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_578_insert__Diff__if,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) % 3.71/3.74 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B) = hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)) % 3.71/3.74 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_579_insert__Diff__if,axiom, % 3.71/3.74 ! [A,X_1,B] : % 3.71/3.74 ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) % 3.71/3.74 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)) % 3.71/3.74 => hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_580_double__diff,axiom, % 3.71/3.74 ! [C_11,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C_11)) % 3.71/3.74 => hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C_11),A)) = A ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_581_double__diff,axiom, % 3.71/3.74 ! [C_11,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C_11)) % 3.71/3.74 => hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C_11),A)) = A ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_582_double__diff,axiom, % 3.71/3.74 ! [C_11,A,B] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C_11)) % 3.71/3.74 => hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C_11),A)) = A ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_583_Diff__mono,axiom, % 3.71/3.74 ! [D_4,B,A,C_11] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C_11)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,D_4),B)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C_11),D_4))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_584_Diff__mono,axiom, % 3.71/3.74 ! [D_4,B,A,C_11] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C_11)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,D_4),B)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C_11),D_4))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_585_Diff__mono,axiom, % 3.71/3.74 ! [D_4,B,A,C_11] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C_11)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,D_4),B)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C_11),D_4))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_586_Diff__subset,axiom, % 3.71/3.74 ! [A,B] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),A)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_587_Diff__subset,axiom, % 3.71/3.74 ! [A,B] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),A)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_588_Diff__subset,axiom, % 3.71/3.74 ! [A,B] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),A)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_589_singleton__inject,axiom, % 3.71/3.74 ! [A_2,B_3] : % 3.71/3.74 ( ( is_a(A_2) % 3.71/3.74 & is_a(B_3) ) % 3.71/3.74 => ( hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool) % 3.71/3.74 => A_2 = B_3 ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_590_singleton__inject,axiom, % 3.71/3.74 ! [A_2,B_3] : % 3.71/3.74 ( hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool) % 3.71/3.74 => A_2 = B_3 ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_591_singleton__inject,axiom, % 3.71/3.74 ! [A_2,B_3] : % 3.71/3.74 ( hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool) % 3.71/3.74 => A_2 = B_3 ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_592_singletonE,axiom, % 3.71/3.74 ! [B_3,A_2] : % 3.71/3.74 ( ( is_a(B_3) % 3.71/3.74 & is_a(A_2) ) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))) % 3.71/3.74 => B_3 = A_2 ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_593_singletonE,axiom, % 3.71/3.74 ! [B_3,A_2] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))) % 3.71/3.74 => B_3 = A_2 ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_594_singletonE,axiom, % 3.71/3.74 ! [B_3,A_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))) % 3.71/3.74 => B_3 = A_2 ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_595_singletonE,axiom, % 3.71/3.74 ! [B_3,A_2] : % 3.71/3.74 ( ( is_pname(B_3) % 3.71/3.74 & is_pname(A_2) ) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool))) % 3.71/3.74 => B_3 = A_2 ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_596_doubleton__eq__iff,axiom, % 3.71/3.74 ! [A_2,B_3,C_6,D_1] : % 3.71/3.74 ( ( is_a(A_2) % 3.71/3.74 & is_a(B_3) % 3.71/3.74 & is_a(C_6) % 3.71/3.74 & is_a(D_1) ) % 3.71/3.74 => ( hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool)) % 3.71/3.74 <=> ( ( A_2 = C_6 % 3.71/3.74 & B_3 = D_1 ) % 3.71/3.74 | ( A_2 = D_1 % 3.71/3.74 & B_3 = C_6 ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_597_doubleton__eq__iff,axiom, % 3.71/3.74 ! [A_2,B_3,C_6,D_1] : % 3.71/3.74 ( hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool)) % 3.71/3.74 <=> ( ( A_2 = C_6 % 3.71/3.74 & B_3 = D_1 ) % 3.71/3.74 | ( A_2 = D_1 % 3.71/3.74 & B_3 = C_6 ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_598_doubleton__eq__iff,axiom, % 3.71/3.74 ! [A_2,B_3,C_6,D_1] : % 3.71/3.74 ( hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool)) % 3.71/3.74 <=> ( ( A_2 = C_6 % 3.71/3.74 & B_3 = D_1 ) % 3.71/3.74 | ( A_2 = D_1 % 3.71/3.74 & B_3 = C_6 ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_599_singleton__iff,axiom, % 3.71/3.74 ! [B_3,A_2] : % 3.71/3.74 ( ( is_a(B_3) % 3.71/3.74 & is_a(A_2) ) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))) % 3.71/3.74 <=> B_3 = A_2 ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_600_singleton__iff,axiom, % 3.71/3.74 ! [B_3,A_2] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))) % 3.71/3.74 <=> B_3 = A_2 ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_601_singleton__iff,axiom, % 3.71/3.74 ! [B_3,A_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))) % 3.71/3.74 <=> B_3 = A_2 ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_602_singleton__iff,axiom, % 3.71/3.74 ! [B_3,A_2] : % 3.71/3.74 ( ( is_pname(B_3) % 3.71/3.74 & is_pname(A_2) ) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool))) % 3.71/3.74 <=> B_3 = A_2 ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_603_insert__not__empty,axiom, % 3.71/3.74 ! [A_2,A] : hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A) != bot_bot_fun_a_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_604_insert__not__empty,axiom, % 3.71/3.74 ! [A_2,A] : hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A) != bot_bot_fun_nat_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_605_insert__not__empty,axiom, % 3.71/3.74 ! [A_2,A] : hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A) != bot_bot_fun_int_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_606_empty__not__insert,axiom, % 3.71/3.74 ! [A_2,A] : bot_bot_fun_a_bool != hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A) ). % 3.71/3.74 % 3.71/3.74 fof(fact_607_empty__not__insert,axiom, % 3.71/3.74 ! [A_2,A] : bot_bot_fun_nat_bool != hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A) ). % 3.71/3.74 % 3.71/3.74 fof(fact_608_empty__not__insert,axiom, % 3.71/3.74 ! [A_2,A] : bot_bot_fun_int_bool != hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A) ). % 3.71/3.74 % 3.71/3.74 fof(fact_609_subset__empty,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool)) % 3.71/3.74 <=> A = bot_bot_fun_nat_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_610_subset__empty,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool)) % 3.71/3.74 <=> A = bot_bot_fun_int_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_611_subset__empty,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool)) % 3.71/3.74 <=> A = bot_bot_fun_a_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_612_image__is__empty,axiom, % 3.71/3.74 ! [F,A] : % 3.71/3.74 ( image_nat_int(F,A) = bot_bot_fun_int_bool % 3.71/3.74 <=> A = bot_bot_fun_nat_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_613_image__is__empty,axiom, % 3.71/3.74 ! [F,A] : % 3.71/3.74 ( is_fun_pname_bool(A) % 3.71/3.74 => ( image_pname_a(F,A) = bot_bot_fun_a_bool % 3.71/3.74 <=> A = bot_bo844097828e_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_614_image__empty,axiom, % 3.71/3.74 ! [F] : image_nat_int(F,bot_bot_fun_nat_bool) = bot_bot_fun_int_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_615_image__empty,axiom, % 3.71/3.74 ! [F] : image_pname_a(F,bot_bo844097828e_bool) = bot_bot_fun_a_bool ). % 3.71/3.74 % 3.71/3.74 fof(fact_616_empty__is__image,axiom, % 3.71/3.74 ! [F,A] : % 3.71/3.74 ( bot_bot_fun_int_bool = image_nat_int(F,A) % 3.71/3.74 <=> A = bot_bot_fun_nat_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_617_empty__is__image,axiom, % 3.71/3.74 ! [F,A] : % 3.71/3.74 ( is_fun_pname_bool(A) % 3.71/3.74 => ( bot_bot_fun_a_bool = image_pname_a(F,A) % 3.71/3.74 <=> A = bot_bo844097828e_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_618_le__bot,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool)) % 3.71/3.74 => A_2 = bot_bot_fun_nat_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_619_le__bot,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool)) % 3.71/3.74 => A_2 = bot_bot_fun_int_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_620_le__bot,axiom, % 3.71/3.74 ! [A_17] : % 3.71/3.74 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_17),bot_bot_nat)) % 3.71/3.74 => A_17 = bot_bot_nat ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_621_le__bot,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( is_fun_a_bool(A_2) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool)) % 3.71/3.74 => A_2 = bot_bot_fun_a_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_622_bot__unique,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool)) % 3.71/3.74 <=> A_2 = bot_bot_fun_nat_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_623_bot__unique,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool)) % 3.71/3.74 <=> A_2 = bot_bot_fun_int_bool ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_624_bot__unique,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_2),bot_bot_nat)) % 3.71/3.74 <=> A_2 = bot_bot_nat ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_625_bot__unique,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( is_fun_a_bool(A_2) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool)) % 3.71/3.74 <=> A_2 = bot_bot_fun_a_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_626_bot__least,axiom, % 3.71/3.74 ! [A_2] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_2)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_627_bot__least,axiom, % 3.71/3.74 ! [A_2] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A_2)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_628_bot__least,axiom, % 3.71/3.74 ! [A_16] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,bot_bot_nat),A_16)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_629_bot__least,axiom, % 3.71/3.74 ! [A_2] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_2)) ). % 3.71/3.74 % 3.71/3.74 fof(fact_630_Collect__conv__if,axiom, % 3.71/3.74 ! [Pa,A_2] : % 3.71/3.74 ( ( hBOOL(hAPP_a_bool(Pa,A_2)) % 3.71/3.74 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2)),Pa)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_a_bool(Pa,A_2)) % 3.71/3.74 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2)),Pa)) = bot_bot_fun_a_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_631_Collect__conv__if,axiom, % 3.71/3.74 ! [Pa,A_2] : % 3.71/3.74 ( ( hBOOL(hAPP_int_bool(Pa,A_2)) % 3.71/3.74 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2)),Pa)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_int_bool(Pa,A_2)) % 3.71/3.74 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2)),Pa)) = bot_bot_fun_int_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_632_Collect__conv__if,axiom, % 3.71/3.74 ! [Pa,A_2] : % 3.71/3.74 ( ( hBOOL(hAPP_nat_bool(Pa,A_2)) % 3.71/3.74 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2)),Pa)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_nat_bool(Pa,A_2)) % 3.71/3.74 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2)),Pa)) = bot_bot_fun_nat_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_633_Collect__conv__if2,axiom, % 3.71/3.74 ! [Pa,A_2] : % 3.71/3.74 ( ( hBOOL(hAPP_a_bool(Pa,A_2)) % 3.71/3.74 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,A_2)),Pa)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_a_bool(Pa,A_2)) % 3.71/3.74 => collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,A_2)),Pa)) = bot_bot_fun_a_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_634_Collect__conv__if2,axiom, % 3.71/3.74 ! [Pa,A_2] : % 3.71/3.74 ( ( hBOOL(hAPP_int_bool(Pa,A_2)) % 3.71/3.74 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(fequal_int,A_2)),Pa)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_int_bool(Pa,A_2)) % 3.71/3.74 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(fequal_int,A_2)),Pa)) = bot_bot_fun_int_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_635_Collect__conv__if2,axiom, % 3.71/3.74 ! [Pa,A_2] : % 3.71/3.74 ( ( hBOOL(hAPP_nat_bool(Pa,A_2)) % 3.71/3.74 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,A_2)),Pa)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) ) % 3.71/3.74 & ( ~ hBOOL(hAPP_nat_bool(Pa,A_2)) % 3.71/3.74 => collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,A_2)),Pa)) = bot_bot_fun_nat_bool ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_636_singleton__conv,axiom, % 3.71/3.74 ! [A_2] : collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),A_2)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) ). % 3.71/3.74 % 3.71/3.74 fof(fact_637_singleton__conv,axiom, % 3.71/3.74 ! [A_2] : collect_int(hAPP_i1948725293t_bool(cOMBC_int_int_bool(fequal_int),A_2)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) ). % 3.71/3.74 % 3.71/3.74 fof(fact_638_singleton__conv,axiom, % 3.71/3.74 ! [A_2] : collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),A_2)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) ). % 3.71/3.74 % 3.71/3.74 fof(fact_639_singleton__conv2,axiom, % 3.71/3.74 ! [A_2] : collect_a(hAPP_a_fun_a_bool(fequal_a,A_2)) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool) ). % 3.71/3.74 % 3.71/3.74 fof(fact_640_singleton__conv2,axiom, % 3.71/3.74 ! [A_2] : collect_int(hAPP_i1948725293t_bool(fequal_int,A_2)) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool) ). % 3.71/3.74 % 3.71/3.74 fof(fact_641_singleton__conv2,axiom, % 3.71/3.74 ! [A_2] : collect_nat(hAPP_n1699378549t_bool(fequal_nat,A_2)) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool) ). % 3.71/3.74 % 3.71/3.74 fof(fact_642_card__Suc__Diff1,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.74 => hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) = hAPP_fun_a_bool_nat(finite_card_a,A) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_643_card__Suc__Diff1,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.74 => hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) = hAPP_f957591787ol_nat(finite_card_int,A) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_644_card__Suc__Diff1,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.74 => hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) = hAPP_f22106695ol_nat(finite_card_nat,A) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_645_card__Suc__Diff1,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.74 => hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) = hAPP_f921600141ol_nat(finite_card_pname,A) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_646_card__insert,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.74 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_647_card__insert,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.74 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_648_card__insert,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.74 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_649_card__insert,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.74 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_650_card__Diff1__le,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))),hAPP_fun_a_bool_nat(finite_card_a,A))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_651_card__Diff1__le,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))),hAPP_f957591787ol_nat(finite_card_int,A))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_652_card__Diff1__le,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))),hAPP_f22106695ol_nat(finite_card_nat,A))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_653_card__Diff1__le,axiom, % 3.71/3.74 ! [X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))),hAPP_f921600141ol_nat(finite_card_pname,A))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_654_finite__Diff__insert,axiom, % 3.71/3.74 ! [A,A_2,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)))) % 3.71/3.74 <=> hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_655_finite__Diff__insert,axiom, % 3.71/3.74 ! [A,A_2,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)))) % 3.71/3.74 <=> hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_656_finite__Diff__insert,axiom, % 3.71/3.74 ! [A,A_2,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)))) % 3.71/3.74 <=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_657_finite__Diff__insert,axiom, % 3.71/3.74 ! [A,A_2,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B)))) % 3.71/3.74 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_658_image__diff__subset,axiom, % 3.71/3.74 ! [F,A,B] : hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,image_nat_int(F,A)),image_nat_int(F,B))),image_nat_int(F,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))) ). % 3.71/3.74 % 3.71/3.74 fof(fact_659_image__diff__subset,axiom, % 3.71/3.74 ! [F,A,B] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,image_pname_a(F,A)),image_pname_a(F,B))),image_pname_a(F,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))) ). % 3.71/3.74 % 3.71/3.74 fof(fact_660_subset__singletonD,axiom, % 3.71/3.74 ! [A,X_1] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))) % 3.71/3.74 => ( A = bot_bot_fun_a_bool % 3.71/3.74 | A = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_661_subset__singletonD,axiom, % 3.71/3.74 ! [A,X_1] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))) % 3.71/3.74 => ( A = bot_bot_fun_nat_bool % 3.71/3.74 | A = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_662_subset__singletonD,axiom, % 3.71/3.74 ! [A,X_1] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))) % 3.71/3.74 => ( A = bot_bot_fun_int_bool % 3.71/3.74 | A = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_663_nat__case__Suc,axiom, % 3.71/3.74 ! [F1,F2,Nat_3] : hAPP_nat_nat(nat_case_nat(F1,F2),hAPP_nat_nat(suc,Nat_3)) = hAPP_nat_nat(F2,Nat_3) ). % 3.71/3.74 % 3.71/3.74 fof(fact_664_nat__case__Suc,axiom, % 3.71/3.74 ! [F1,F2,Nat_3] : % 3.71/3.74 ( hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),hAPP_nat_nat(suc,Nat_3))) % 3.71/3.74 <=> hBOOL(hAPP_nat_bool(F2,Nat_3)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_665_image__constant,axiom, % 3.71/3.74 ! [C_6,X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.74 => image_nat_int(cOMBK_int_nat(C_6),A) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),bot_bot_fun_int_bool) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_666_image__constant,axiom, % 3.71/3.74 ! [C_6,X_1,A] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.74 => image_pname_a(cOMBK_a_pname(C_6),A) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),bot_bot_fun_a_bool) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_667_image__constant__conv,axiom, % 3.71/3.74 ! [C_6,A] : % 3.71/3.74 ( ( A = bot_bot_fun_nat_bool % 3.71/3.74 => image_nat_int(cOMBK_int_nat(C_6),A) = bot_bot_fun_int_bool ) % 3.71/3.74 & ( A != bot_bot_fun_nat_bool % 3.71/3.74 => image_nat_int(cOMBK_int_nat(C_6),A) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),bot_bot_fun_int_bool) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_668_image__constant__conv,axiom, % 3.71/3.74 ! [C_6,A] : % 3.71/3.74 ( is_fun_pname_bool(A) % 3.71/3.74 => ( ( A = bot_bo844097828e_bool % 3.71/3.74 => image_pname_a(cOMBK_a_pname(C_6),A) = bot_bot_fun_a_bool ) % 3.71/3.74 & ( A != bot_bo844097828e_bool % 3.71/3.74 => image_pname_a(cOMBK_a_pname(C_6),A) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),bot_bot_fun_a_bool) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_669_diff__eq__diff__eq,axiom, % 3.71/3.74 ! [A_2,B_3,C_6,D_1] : % 3.71/3.74 ( hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1) % 3.71/3.74 => ( A_2 = B_3 % 3.71/3.74 <=> C_6 = D_1 ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_670_card__Diff__subset,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) % 3.71/3.74 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_671_card__Diff__subset,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) % 3.71/3.74 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_672_card__Diff__subset,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) % 3.71/3.74 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_673_card__Diff__subset,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) % 3.71/3.74 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_674_diff__card__le__card__Diff,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B))),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_675_diff__card__le__card__Diff,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_676_diff__card__le__card__Diff,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_677_diff__card__le__card__Diff,axiom, % 3.71/3.74 ! [A,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)) % 3.71/3.74 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_678_finite__subset__induct,axiom, % 3.71/3.74 ! [Pa,A,F_1] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)) % 3.71/3.74 => ( ! [A_14,F_2] : % 3.71/3.74 ( ( is_a(A_14) % 3.71/3.74 & is_fun_a_bool(F_2) ) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),A)) % 3.71/3.74 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),F_2)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,F_2)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),F_2))) ) ) ) ) ) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_679_finite__subset__induct,axiom, % 3.71/3.74 ! [Pa,A,F_1] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F_1),A)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool)) % 3.71/3.74 => ( ! [A_14,F_2] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),A)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(Pa,F_2)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),F_2))) ) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(Pa,F_1)) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_680_finite__subset__induct,axiom, % 3.71/3.74 ! [Pa,A,F_1] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool)) % 3.71/3.74 => ( ! [A_14,F_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),A)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(Pa,F_2)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),F_2))) ) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(Pa,F_1)) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_681_finite__subset__induct,axiom, % 3.71/3.74 ! [Pa,A,F_1] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)) % 3.71/3.74 => ( ! [A_14,F_2] : % 3.71/3.74 ( ( is_pname(A_14) % 3.71/3.74 & is_fun_pname_bool(F_2) ) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),A)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(Pa,F_2)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),F_2))) ) ) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(Pa,F_1)) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_682_assms_I2_J,axiom, % 3.71/3.74 ! [Pn,G] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(p(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,Pn)),G)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(the_com(body(Pn)))),bot_bot_fun_a_bool))) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,Pn)),bot_bot_fun_a_bool))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_683_finite__empty__induct,axiom, % 3.71/3.74 ! [Pa,A] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,A)) % 3.71/3.74 => ( ! [A_14,A_15] : % 3.71/3.74 ( ( is_a(A_14) % 3.71/3.74 & is_fun_a_bool(A_15) ) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_15)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),A_15)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,A_15)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A_15),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),bot_bot_fun_a_bool)))) ) ) ) ) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_684_finite__empty__induct,axiom, % 3.71/3.74 ! [Pa,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(Pa,A)) % 3.71/3.74 => ( ! [A_14,A_15] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_15)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),A_15)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(Pa,A_15)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A_15),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),bot_bot_fun_int_bool)))) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_685_finite__empty__induct,axiom, % 3.71/3.74 ! [Pa,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(Pa,A)) % 3.71/3.74 => ( ! [A_14,A_15] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_15)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),A_15)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(Pa,A_15)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A_15),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),bot_bot_fun_nat_bool)))) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_686_finite__empty__induct,axiom, % 3.71/3.74 ! [Pa,A] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(Pa,A)) % 3.71/3.74 => ( ! [A_14,A_15] : % 3.71/3.74 ( ( is_pname(A_14) % 3.71/3.74 & is_fun_pname_bool(A_15) ) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_15)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),A_15)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(Pa,A_15)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_15),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),bot_bo844097828e_bool)))) ) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_687_finite__induct,axiom, % 3.71/3.74 ! [Pa,F_1] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)) % 3.71/3.74 => ( ! [X_2,F_2] : % 3.71/3.74 ( ( is_a(X_2) % 3.71/3.74 & is_fun_a_bool(F_2) ) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2)) % 3.71/3.74 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),F_2)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,F_2)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),F_2))) ) ) ) ) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_688_finite__induct,axiom, % 3.71/3.74 ! [Pa,F_1] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool)) % 3.71/3.74 => ( ! [X_2,F_2] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(Pa,F_2)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),F_2))) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(Pa,F_1)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_689_finite__induct,axiom, % 3.71/3.74 ! [Pa,F_1] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool)) % 3.71/3.74 => ( ! [X_2,F_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(Pa,F_2)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),F_2))) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(Pa,F_1)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_690_finite__induct,axiom, % 3.71/3.74 ! [Pa,F_1] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)) % 3.71/3.74 => ( ! [X_2,F_2] : % 3.71/3.74 ( ( is_pname(X_2) % 3.71/3.74 & is_fun_pname_bool(F_2) ) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),F_2)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(Pa,F_2)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),F_2))) ) ) ) ) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(Pa,F_1)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_691_finite_Osimps,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( is_fun_a_bool(A_2) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2)) % 3.71/3.74 <=> ( A_2 = bot_bot_fun_a_bool % 3.71/3.74 | ? [A_15,A_14] : % 3.71/3.74 ( is_fun_a_bool(A_15) % 3.71/3.74 & is_a(A_14) % 3.71/3.74 & A_2 = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),A_15) % 3.71/3.74 & hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_15)) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_692_finite_Osimps,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_2)) % 3.71/3.74 <=> ( A_2 = bot_bot_fun_int_bool % 3.71/3.74 | ? [A_15,A_14] : % 3.71/3.74 ( A_2 = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),A_15) % 3.71/3.74 & hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_15)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_693_finite_Osimps,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_2)) % 3.71/3.74 <=> ( A_2 = bot_bot_fun_nat_bool % 3.71/3.74 | ? [A_15,A_14] : % 3.71/3.74 ( A_2 = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),A_15) % 3.71/3.74 & hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_15)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_694_finite_Osimps,axiom, % 3.71/3.74 ! [A_2] : % 3.71/3.74 ( is_fun_pname_bool(A_2) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2)) % 3.71/3.74 <=> ( A_2 = bot_bo844097828e_bool % 3.71/3.74 | ? [A_15,A_14] : % 3.71/3.74 ( is_fun_pname_bool(A_15) % 3.71/3.74 & is_pname(A_14) % 3.71/3.74 & A_2 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),A_15) % 3.71/3.74 & hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_15)) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_695_finite__less__ub,axiom, % 3.71/3.74 ! [U,F] : % 3.71/3.74 ( ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),hAPP_nat_nat(F,N_1))) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_eq_nat,F)),U)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_696_the__elem__eq,axiom, % 3.71/3.74 ! [X_1] : % 3.71/3.74 ( is_a(X_1) % 3.71/3.74 => hAPP_fun_a_bool_a(the_elem_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = X_1 ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_697_the__elem__eq,axiom, % 3.71/3.74 ! [X_1] : hAPP_f22106695ol_nat(the_elem_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = X_1 ). % 3.71/3.74 % 3.71/3.74 fof(fact_698_the__elem__eq,axiom, % 3.71/3.74 ! [X_1] : hAPP_f1594865479ol_int(the_elem_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = X_1 ). % 3.71/3.74 % 3.71/3.74 fof(fact_699_nonempty__iff,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( is_fun_a_bool(A) % 3.71/3.74 => ( A != bot_bot_fun_a_bool % 3.71/3.74 <=> ? [X_2,B_15] : % 3.71/3.74 ( is_a(X_2) % 3.71/3.74 & is_fun_a_bool(B_15) % 3.71/3.74 & A = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),B_15) % 3.71/3.74 & ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B_15)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_700_nonempty__iff,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( A != bot_bot_fun_int_bool % 3.71/3.74 <=> ? [X_2,B_15] : % 3.71/3.74 ( A = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),B_15) % 3.71/3.74 & ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),B_15)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_701_nonempty__iff,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( A != bot_bot_fun_nat_bool % 3.71/3.74 <=> ? [X_2,B_15] : % 3.71/3.74 ( A = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),B_15) % 3.71/3.74 & ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_15)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_702_nonempty__iff,axiom, % 3.71/3.74 ! [A] : % 3.71/3.74 ( is_fun_pname_bool(A) % 3.71/3.74 => ( A != bot_bo844097828e_bool % 3.71/3.74 <=> ? [X_2,B_15] : % 3.71/3.74 ( is_pname(X_2) % 3.71/3.74 & is_fun_pname_bool(B_15) % 3.71/3.74 & A = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),B_15) % 3.71/3.74 & ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B_15)) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_703_assms_I4_J,axiom, % 3.71/3.74 ! [Pn] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Pn),u)) % 3.71/3.74 => hBOOL(wt(the_com(body(Pn)))) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_704_DiffE,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) % 3.71/3.74 => ~ ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_705_DiffE,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) % 3.71/3.74 => ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_706_DiffE,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))) % 3.71/3.74 => ~ ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_707_DiffE,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) % 3.71/3.74 => ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_708_DiffI,axiom, % 3.71/3.74 ! [B,C_6,A] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_709_DiffI,axiom, % 3.71/3.74 ! [B,C_6,A] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_710_DiffI,axiom, % 3.71/3.74 ! [B,C_6,A] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)) % 3.71/3.74 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_711_DiffI,axiom, % 3.71/3.74 ! [B,C_6,A] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)) % 3.71/3.74 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_712_DiffD2,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) % 3.71/3.74 => ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_713_DiffD2,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) % 3.71/3.74 => ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_714_DiffD2,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))) % 3.71/3.74 => ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_715_DiffD2,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) % 3.71/3.74 => ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_716_DiffD1,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) % 3.71/3.74 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_717_DiffD1,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) % 3.71/3.74 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_718_DiffD1,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))) % 3.71/3.74 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_719_DiffD1,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) % 3.71/3.74 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_720_Diff__iff,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))) % 3.71/3.74 <=> ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)) % 3.71/3.74 & ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_721_Diff__iff,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))) % 3.71/3.74 <=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)) % 3.71/3.74 & ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_722_Diff__iff,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))) % 3.71/3.74 <=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)) % 3.71/3.74 & ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_723_Diff__iff,axiom, % 3.71/3.74 ! [C_6,A,B] : % 3.71/3.74 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))) % 3.71/3.74 <=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)) % 3.71/3.74 & ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_724_set__diff__eq,axiom, % 3.71/3.74 ! [A,B] : hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),cOMBB_bool_bool_int(fNot,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B)))) ). % 3.71/3.74 % 3.71/3.74 fof(fact_725_set__diff__eq,axiom, % 3.71/3.74 ! [A,B] : hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B)))) ). % 3.71/3.74 % 3.71/3.74 fof(fact_726_set__diff__eq,axiom, % 3.71/3.74 ! [A,B] : hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A)),cOMBB_bool_bool_a(fNot,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B)))) ). % 3.71/3.74 % 3.71/3.74 fof(fact_727_set__diff__eq,axiom, % 3.71/3.74 ! [A,B] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),cOMBB_647938656_pname(fNot,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B)))) ). % 3.71/3.74 % 3.71/3.74 fof(fact_728_folding__one_Oinsert__remove,axiom, % 3.71/3.74 ! [X_1,A,F,F_1] : % 3.71/3.74 ( is_a(X_1) % 3.71/3.74 => ( hBOOL(finite_folding_one_a(F,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.74 => ( ( hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = bot_bot_fun_a_bool % 3.71/3.74 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = X_1 ) % 3.71/3.74 & ( hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) != bot_bot_fun_a_bool % 3.71/3.74 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_729_folding__one_Oinsert__remove,axiom, % 3.71/3.74 ! [X_1,A,F,F_1] : % 3.71/3.74 ( hBOOL(finite1626084323ne_int(F,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.74 => ( ( hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = bot_bot_fun_int_bool % 3.71/3.74 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = X_1 ) % 3.71/3.74 & ( hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) != bot_bot_fun_int_bool % 3.71/3.74 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_730_folding__one_Oinsert__remove,axiom, % 3.71/3.74 ! [X_1,A,F,F_1] : % 3.71/3.74 ( hBOOL(finite988810631ne_nat(F,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.74 => ( ( hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = bot_bot_fun_nat_bool % 3.71/3.74 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = X_1 ) % 3.71/3.74 & ( hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) != bot_bot_fun_nat_bool % 3.71/3.74 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ) ) ) ). % 3.71/3.74 % 3.71/3.74 fof(fact_731_folding__one_Oinsert__remove,axiom, % 3.71/3.74 ! [X_1,A,F,F_1] : % 3.71/3.74 ( is_pname(X_1) % 3.71/3.74 => ( hBOOL(finite1282449217_pname(F,F_1)) % 3.71/3.74 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.74 => ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = bot_bo844097828e_bool % 3.71/3.74 => hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = X_1 ) % 3.71/3.74 & ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) != bot_bo844097828e_bool % 3.71/3.74 => hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ) ) ) ) ). % 3.71/3.74 % 3.71/3.75 fof(fact_732_folding__one_Oremove,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( is_a(X_1) % 3.71/3.75 => ( hBOOL(finite_folding_one_a(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.75 => ( ( hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = bot_bot_fun_a_bool % 3.71/3.75 => hAPP_fun_a_bool_a(F_1,A) = X_1 ) % 3.71/3.75 & ( hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) != bot_bot_fun_a_bool % 3.71/3.75 => hAPP_fun_a_bool_a(F_1,A) = hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_733_folding__one_Oremove,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( hBOOL(finite1626084323ne_int(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.75 => ( ( hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = bot_bot_fun_int_bool % 3.71/3.75 => hAPP_f1594865479ol_int(F_1,A) = X_1 ) % 3.71/3.75 & ( hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) != bot_bot_fun_int_bool % 3.71/3.75 => hAPP_f1594865479ol_int(F_1,A) = hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_734_folding__one_Oremove,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( hBOOL(finite988810631ne_nat(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.75 => ( ( hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = bot_bot_fun_nat_bool % 3.71/3.75 => hAPP_f22106695ol_nat(F_1,A) = X_1 ) % 3.71/3.75 & ( hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) != bot_bot_fun_nat_bool % 3.71/3.75 => hAPP_f22106695ol_nat(F_1,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_735_folding__one_Oremove,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( is_pname(X_1) % 3.71/3.75 => ( hBOOL(finite1282449217_pname(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.75 => ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) = bot_bo844097828e_bool % 3.71/3.75 => hAPP_f1297739591_pname(F_1,A) = X_1 ) % 3.71/3.75 & ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)) != bot_bo844097828e_bool % 3.71/3.75 => hAPP_f1297739591_pname(F_1,A) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_736_card__Diff__singleton__if,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.75 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat) ) % 3.71/3.75 & ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.75 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))) = hAPP_fun_a_bool_nat(finite_card_a,A) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_737_card__Diff__singleton__if,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.75 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat) ) % 3.71/3.75 & ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.75 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))) = hAPP_f957591787ol_nat(finite_card_int,A) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_738_card__Diff__singleton__if,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.75 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat) ) % 3.71/3.75 & ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.75 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))) = hAPP_f22106695ol_nat(finite_card_nat,A) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_739_card__Diff__singleton__if,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.75 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat) ) % 3.71/3.75 & ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.75 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))) = hAPP_f921600141ol_nat(finite_card_pname,A) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_740_card__Diff__singleton,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.75 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_741_card__Diff__singleton,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.75 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_742_card__Diff__singleton,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.75 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_743_card__Diff__singleton,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.75 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_744_one__reorient,axiom, % 3.71/3.75 ! [X_1] : % 3.71/3.75 ( one_one_int = X_1 % 3.71/3.75 <=> X_1 = one_one_int ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_745_one__reorient,axiom, % 3.71/3.75 ! [X_1] : % 3.71/3.75 ( one_one_nat = X_1 % 3.71/3.75 <=> X_1 = one_one_nat ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_746_diff__Suc__1,axiom, % 3.71/3.75 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N)),one_one_nat) = N ). % 3.71/3.75 % 3.71/3.75 fof(fact_747_diff__Suc__eq__diff__pred,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N) ). % 3.71/3.75 % 3.71/3.75 fof(fact_748_folding__one_Osingleton,axiom, % 3.71/3.75 ! [X_1,F,F_1] : % 3.71/3.75 ( is_a(X_1) % 3.71/3.75 => ( hBOOL(finite_folding_one_a(F,F_1)) % 3.71/3.75 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)) = X_1 ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_749_folding__one_Osingleton,axiom, % 3.71/3.75 ! [X_1,F,F_1] : % 3.71/3.75 ( hBOOL(finite988810631ne_nat(F,F_1)) % 3.71/3.75 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)) = X_1 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_750_folding__one_Osingleton,axiom, % 3.71/3.75 ! [X_1,F,F_1] : % 3.71/3.75 ( hBOOL(finite1626084323ne_int(F,F_1)) % 3.71/3.75 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)) = X_1 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_751_card__Diff__insert,axiom, % 3.71/3.75 ! [B,A_2,A] : % 3.71/3.75 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)) % 3.71/3.75 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B)) % 3.71/3.75 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))),one_one_nat) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_752_card__Diff__insert,axiom, % 3.71/3.75 ! [B,A_2,A] : % 3.71/3.75 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)) % 3.71/3.75 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B)) % 3.71/3.75 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))),one_one_nat) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_753_card__Diff__insert,axiom, % 3.71/3.75 ! [B,A_2,A] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)) % 3.71/3.75 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B)) % 3.71/3.75 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))),one_one_nat) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_754_card__Diff__insert,axiom, % 3.71/3.75 ! [B,A_2,A] : % 3.71/3.75 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) % 3.71/3.75 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B)) % 3.71/3.75 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))),one_one_nat) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_755_folding__one_Oinsert,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( is_fun_a_bool(A) % 3.71/3.75 => ( hBOOL(finite_folding_one_a(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.75 => ( A != bot_bot_fun_a_bool % 3.71/3.75 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,A)) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_756_folding__one_Oinsert,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( hBOOL(finite1626084323ne_int(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.75 => ( A != bot_bot_fun_int_bool % 3.71/3.75 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,A)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_757_folding__one_Oinsert,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( hBOOL(finite988810631ne_nat(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.75 => ( A != bot_bot_fun_nat_bool % 3.71/3.75 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,A)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_758_folding__one_Oinsert,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( is_fun_pname_bool(A) % 3.71/3.75 => ( hBOOL(finite1282449217_pname(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.75 => ( A != bot_bo844097828e_bool % 3.71/3.75 => hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,A)) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_759_folding__one_Oclosed,axiom, % 3.71/3.75 ! [A,F,F_1] : % 3.71/3.75 ( is_fun_a_bool(A) % 3.71/3.75 => ( hBOOL(finite_folding_one_a(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( A != bot_bot_fun_a_bool % 3.71/3.75 => ( ! [X_2,Y_2] : % 3.71/3.75 ( ( is_a(X_2) % 3.71/3.75 & is_a(Y_2) ) % 3.71/3.75 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_a_a(hAPP_a_fun_a_a(F,X_2),Y_2)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_2),bot_bot_fun_a_bool)))) ) % 3.71/3.75 => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_fun_a_bool_a(F_1,A)),A)) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_760_folding__one_Oclosed,axiom, % 3.71/3.75 ! [A,F,F_1] : % 3.71/3.75 ( hBOOL(finite1626084323ne_int(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( A != bot_bot_fun_int_bool % 3.71/3.75 => ( ! [X_2,Y_2] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(F,X_2),Y_2)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,Y_2),bot_bot_fun_int_bool)))) % 3.71/3.75 => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_f1594865479ol_int(F_1,A)),A)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_761_folding__one_Oclosed,axiom, % 3.71/3.75 ! [A,F,F_1] : % 3.71/3.75 ( hBOOL(finite988810631ne_nat(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( A != bot_bot_fun_nat_bool % 3.71/3.75 => ( ! [X_2,Y_2] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_2),Y_2)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,Y_2),bot_bot_fun_nat_bool)))) % 3.71/3.75 => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_f22106695ol_nat(F_1,A)),A)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_762_folding__one_Oclosed,axiom, % 3.71/3.75 ! [A,F,F_1] : % 3.71/3.75 ( is_fun_pname_bool(A) % 3.71/3.75 => ( hBOOL(finite1282449217_pname(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( A != bot_bo844097828e_bool % 3.71/3.75 => ( ! [X_2,Y_2] : % 3.71/3.75 ( ( is_pname(X_2) % 3.71/3.75 & is_pname(Y_2) ) % 3.71/3.75 => 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)))) ) % 3.71/3.75 => hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(F_1,A)),A)) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_763_card_Oremove,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)) % 3.71/3.75 => hAPP_fun_a_bool_nat(finite_card_a,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_764_card_Oremove,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)) % 3.71/3.75 => hAPP_f957591787ol_nat(finite_card_int,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_765_card_Oremove,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.75 => hAPP_f22106695ol_nat(finite_card_nat,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_766_card_Oremove,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)) % 3.71/3.75 => hAPP_f921600141ol_nat(finite_card_pname,A) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_767_card_Oinsert__remove,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_768_card_Oinsert__remove,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_769_card_Oinsert__remove,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_770_card_Oinsert__remove,axiom, % 3.71/3.75 ! [X_1,A] : % 3.71/3.75 ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_771_folding__one__idem_Osubset__idem,axiom, % 3.71/3.75 ! [B,A,F,F_1] : % 3.71/3.75 ( hBOOL(finite1432773856em_int(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( B != bot_bot_fun_int_bool % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)) % 3.71/3.75 => hAPP_int_int(hAPP_int_fun_int_int(F,hAPP_f1594865479ol_int(F_1,B)),hAPP_f1594865479ol_int(F_1,A)) = hAPP_f1594865479ol_int(F_1,A) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_772_folding__one__idem_Osubset__idem,axiom, % 3.71/3.75 ! [B,A,F,F_1] : % 3.71/3.75 ( hBOOL(finite795500164em_nat(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( B != bot_bot_fun_nat_bool % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_f22106695ol_nat(F_1,B)),hAPP_f22106695ol_nat(F_1,A)) = hAPP_f22106695ol_nat(F_1,A) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_773_folding__one__idem_Osubset__idem,axiom, % 3.71/3.75 ! [B,A,F,F_1] : % 3.71/3.75 ( is_fun_pname_bool(B) % 3.71/3.75 => ( hBOOL(finite89670078_pname(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( B != bot_bo844097828e_bool % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A)) % 3.71/3.75 => hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(F_1,B)),hAPP_f1297739591_pname(F_1,A)) = hAPP_f1297739591_pname(F_1,A) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_774_folding__one__idem_Osubset__idem,axiom, % 3.71/3.75 ! [B,A,F,F_1] : % 3.71/3.75 ( is_fun_a_bool(B) % 3.71/3.75 => ( hBOOL(finite1819937229idem_a(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( B != bot_bot_fun_a_bool % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)) % 3.71/3.75 => hAPP_a_a(hAPP_a_fun_a_a(F,hAPP_fun_a_bool_a(F_1,B)),hAPP_fun_a_bool_a(F_1,A)) = hAPP_fun_a_bool_a(F_1,A) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_775_folding__one__idem_Oinsert__idem,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( is_fun_a_bool(A) % 3.71/3.75 => ( hBOOL(finite1819937229idem_a(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)) % 3.71/3.75 => ( A != bot_bot_fun_a_bool % 3.71/3.75 => hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)) = hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,A)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_776_folding__one__idem_Oinsert__idem,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( hBOOL(finite1432773856em_int(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)) % 3.71/3.75 => ( A != bot_bot_fun_int_bool % 3.71/3.75 => hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)) = hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,A)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_777_folding__one__idem_Oinsert__idem,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( hBOOL(finite795500164em_nat(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.75 => ( A != bot_bot_fun_nat_bool % 3.71/3.75 => hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,A)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_778_folding__one__idem_Oinsert__idem,axiom, % 3.71/3.75 ! [X_1,A,F,F_1] : % 3.71/3.75 ( is_fun_pname_bool(A) % 3.71/3.75 => ( hBOOL(finite89670078_pname(F,F_1)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)) % 3.71/3.75 => ( A != bot_bo844097828e_bool % 3.71/3.75 => hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)) = hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,A)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_779_finite__ne__induct,axiom, % 3.71/3.75 ! [Pa,F_1] : % 3.71/3.75 ( is_fun_a_bool(F_1) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1)) % 3.71/3.75 => ( F_1 != bot_bot_fun_a_bool % 3.71/3.75 => ( ! [X_2] : % 3.71/3.75 ( is_a(X_2) % 3.71/3.75 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),bot_bot_fun_a_bool))) ) % 3.71/3.75 => ( ! [X_2,F_2] : % 3.71/3.75 ( ( is_a(X_2) % 3.71/3.75 & is_fun_a_bool(F_2) ) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2)) % 3.71/3.75 => ( F_2 != bot_bot_fun_a_bool % 3.71/3.75 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),F_2)) % 3.71/3.75 => ( hBOOL(hAPP_fun_a_bool_bool(Pa,F_2)) % 3.71/3.75 => hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),F_2))) ) ) ) ) ) % 3.71/3.75 => hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_780_finite__ne__induct,axiom, % 3.71/3.75 ! [Pa,F_1] : % 3.71/3.75 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1)) % 3.71/3.75 => ( F_1 != bot_bot_fun_int_bool % 3.71/3.75 => ( ! [X_2] : hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),bot_bot_fun_int_bool))) % 3.71/3.75 => ( ! [X_2,F_2] : % 3.71/3.75 ( hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2)) % 3.71/3.75 => ( F_2 != bot_bot_fun_int_bool % 3.71/3.75 => ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),F_2)) % 3.71/3.75 => ( hBOOL(hAPP_f448129468l_bool(Pa,F_2)) % 3.71/3.75 => hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),F_2))) ) ) ) ) % 3.71/3.75 => hBOOL(hAPP_f448129468l_bool(Pa,F_1)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_781_finite__ne__induct,axiom, % 3.71/3.75 ! [Pa,F_1] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1)) % 3.71/3.75 => ( F_1 != bot_bot_fun_nat_bool % 3.71/3.75 => ( ! [X_2] : hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),bot_bot_fun_nat_bool))) % 3.71/3.75 => ( ! [X_2,F_2] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2)) % 3.71/3.75 => ( F_2 != bot_bot_fun_nat_bool % 3.71/3.75 => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),F_2)) % 3.71/3.75 => ( hBOOL(hAPP_f54304608l_bool(Pa,F_2)) % 3.71/3.75 => hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),F_2))) ) ) ) ) % 3.71/3.75 => hBOOL(hAPP_f54304608l_bool(Pa,F_1)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_782_finite__ne__induct,axiom, % 3.71/3.75 ! [Pa,F_1] : % 3.71/3.75 ( is_fun_pname_bool(F_1) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1)) % 3.71/3.75 => ( F_1 != bot_bo844097828e_bool % 3.71/3.75 => ( ! [X_2] : % 3.71/3.75 ( is_pname(X_2) % 3.71/3.75 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),bot_bo844097828e_bool))) ) % 3.71/3.75 => ( ! [X_2,F_2] : % 3.71/3.75 ( ( is_pname(X_2) % 3.71/3.75 & is_fun_pname_bool(F_2) ) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2)) % 3.71/3.75 => ( F_2 != bot_bo844097828e_bool % 3.71/3.75 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),F_2)) % 3.71/3.75 => ( hBOOL(hAPP_f1664156314l_bool(Pa,F_2)) % 3.71/3.75 => hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),F_2))) ) ) ) ) ) % 3.71/3.75 => hBOOL(hAPP_f1664156314l_bool(Pa,F_1)) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_783_the__elem__def,axiom, % 3.71/3.75 ! [X_3] : hAPP_fun_a_bool_a(the_elem_a,X_3) = hAPP_fun_a_bool_a(the_a,cOMBB_1273333599bool_a(hAPP_f1631501043l_bool(fequal_fun_a_bool,X_3),hAPP_f1038053735a_bool(cOMBC_394484100a_bool(insert_a),bot_bot_fun_a_bool))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_784_the__elem__def,axiom, % 3.71/3.75 ! [X_3] : hAPP_f22106695ol_nat(the_elem_nat,X_3) = hAPP_f22106695ol_nat(the_nat,cOMBB_955900739ol_nat(hAPP_f103356543l_bool(fequal_fun_nat_bool,X_3),hAPP_f1570313510t_bool(cOMBC_178881787t_bool(insert_nat),bot_bot_fun_nat_bool))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_785_the__elem__def,axiom, % 3.71/3.75 ! [X_3] : hAPP_f1594865479ol_int(the_elem_int,X_3) = hAPP_f1594865479ol_int(the_int,cOMBB_1418110531ol_int(hAPP_f284875647l_bool(fequal_fun_int_bool,X_3),hAPP_f1048215610t_bool(cOMBC_1683390479t_bool(insert_int),bot_bot_fun_int_bool))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_786_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 3.71/3.75 ! [A_13,B_14,C_10] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),B_14)),C_10) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_14),C_10)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_787_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 3.71/3.75 ! [A_13,B_14,C_10] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),B_14)),C_10) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_14),C_10)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_788_add__left__cancel,axiom, % 3.71/3.75 ! [A_2,B_3,C_6] : % 3.71/3.75 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_3) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_6) % 3.71/3.75 <=> B_3 = C_6 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_789_add__left__cancel,axiom, % 3.71/3.75 ! [A_2,B_3,C_6] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_6) % 3.71/3.75 <=> B_3 = C_6 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_790_add__right__cancel,axiom, % 3.71/3.75 ! [B_3,A_2,C_6] : % 3.71/3.75 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),A_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),A_2) % 3.71/3.75 <=> B_3 = C_6 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_791_add__right__cancel,axiom, % 3.71/3.75 ! [B_3,A_2,C_6] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),A_2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),A_2) % 3.71/3.75 <=> B_3 = C_6 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_792_add__left__imp__eq,axiom, % 3.71/3.75 ! [A_12,B_13,C_9] : % 3.71/3.75 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_12),B_13) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_12),C_9) % 3.71/3.75 => B_13 = C_9 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_793_add__left__imp__eq,axiom, % 3.71/3.75 ! [A_12,B_13,C_9] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),B_13) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),C_9) % 3.71/3.75 => B_13 = C_9 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_794_add__imp__eq,axiom, % 3.71/3.75 ! [A_11,B_12,C_8] : % 3.71/3.75 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_11),B_12) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_11),C_8) % 3.71/3.75 => B_12 = C_8 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_795_add__imp__eq,axiom, % 3.71/3.75 ! [A_11,B_12,C_8] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),B_12) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),C_8) % 3.71/3.75 => B_12 = C_8 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_796_add__right__imp__eq,axiom, % 3.71/3.75 ! [B_11,A_10,C_7] : % 3.71/3.75 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_11),A_10) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_7),A_10) % 3.71/3.75 => B_11 = C_7 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_797_add__right__imp__eq,axiom, % 3.71/3.75 ! [B_11,A_10,C_7] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_11),A_10) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_7),A_10) % 3.71/3.75 => B_11 = C_7 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_798_nat__add__commute,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1) ). % 3.71/3.75 % 3.71/3.75 fof(fact_799_nat__add__left__commute,axiom, % 3.71/3.75 ! [X,Y,Z] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Z)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_800_nat__add__assoc,axiom, % 3.71/3.75 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_801_nat__add__left__cancel,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na) % 3.71/3.75 <=> M = Na ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_802_nat__add__right__cancel,axiom, % 3.71/3.75 ! [M,K,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),K) % 3.71/3.75 <=> M = Na ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_803_add__le__cancel__right,axiom, % 3.71/3.75 ! [A_2,C_6,B_3] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),C_6))) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_2),B_3)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_804_add__le__cancel__right,axiom, % 3.71/3.75 ! [A_2,C_6,B_3] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),C_6))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_2),B_3)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_805_add__le__cancel__left,axiom, % 3.71/3.75 ! [C_6,A_2,B_3] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),A_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),B_3))) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_2),B_3)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_806_add__le__cancel__left,axiom, % 3.71/3.75 ! [C_6,A_2,B_3] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),A_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),B_3))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_2),B_3)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_807_add__right__mono,axiom, % 3.71/3.75 ! [C_5,A_9,B_10] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_9),B_10)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_9),C_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_10),C_5))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_808_add__right__mono,axiom, % 3.71/3.75 ! [C_5,A_9,B_10] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_9),B_10)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_9),C_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_10),C_5))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_809_add__left__mono,axiom, % 3.71/3.75 ! [C_4,A_8,B_9] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_8),B_9)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),A_8)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),B_9))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_810_add__left__mono,axiom, % 3.71/3.75 ! [C_4,A_8,B_9] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_8),B_9)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_4),A_8)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_4),B_9))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_811_add__mono,axiom, % 3.71/3.75 ! [C_3,D_3,A_7,B_8] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_7),B_8)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_3),D_3)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_7),C_3)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_8),D_3))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_812_add__mono,axiom, % 3.71/3.75 ! [C_3,D_3,A_7,B_8] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_7),B_8)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_3),D_3)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_7),C_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_8),D_3))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_813_add__le__imp__le__right,axiom, % 3.71/3.75 ! [A_6,C_2,B_7] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_6),C_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_7),C_2))) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_6),B_7)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_814_add__le__imp__le__right,axiom, % 3.71/3.75 ! [A_6,C_2,B_7] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_6),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_7),C_2))) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_6),B_7)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_815_add__le__imp__le__left,axiom, % 3.71/3.75 ! [C_1,A_5,B_6] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),A_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),B_6))) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_5),B_6)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_816_add__le__imp__le__left,axiom, % 3.71/3.75 ! [C_1,A_5,B_6] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_1),A_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_1),B_6))) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_5),B_6)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_817_diff__add__cancel,axiom, % 3.71/3.75 ! [A_4,B_5] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_4),B_5)),B_5) = A_4 ). % 3.71/3.75 % 3.71/3.75 fof(fact_818_add__diff__cancel,axiom, % 3.71/3.75 ! [A_3,B_4] : hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_4)),B_4) = A_3 ). % 3.71/3.75 % 3.71/3.75 fof(fact_819_add__Suc__right,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_820_add__Suc,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_821_add__Suc__shift,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_822_le__add2,axiom, % 3.71/3.75 ! [N,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_823_le__add1,axiom, % 3.71/3.75 ! [N,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_824_le__iff__add,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) % 3.71/3.75 <=> ? [K_2] : Na = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_825_nat__add__left__cancel__le,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_826_trans__le__add1,axiom, % 3.71/3.75 ! [M_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M_1))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_827_trans__le__add2,axiom, % 3.71/3.75 ! [M_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),J))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_828_add__le__mono1,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_829_add__le__mono,axiom, % 3.71/3.75 ! [K_1,L_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L_1))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_830_add__leD2,axiom, % 3.71/3.75 ! [M_1,K_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_831_add__leD1,axiom, % 3.71/3.75 ! [M_1,K_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_832_add__leE,axiom, % 3.71/3.75 ! [M_1,K_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N)) % 3.71/3.75 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.75 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_833_diff__add__inverse2,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)),N) = M_1 ). % 3.71/3.75 % 3.71/3.75 fof(fact_834_diff__add__inverse,axiom, % 3.71/3.75 ! [N,M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1)),N) = M_1 ). % 3.71/3.75 % 3.71/3.75 fof(fact_835_diff__diff__left,axiom, % 3.71/3.75 ! [I_1,J,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_836_diff__cancel,axiom, % 3.71/3.75 ! [K_1,M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) ). % 3.71/3.75 % 3.71/3.75 fof(fact_837_diff__cancel2,axiom, % 3.71/3.75 ! [M_1,K_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) ). % 3.71/3.75 % 3.71/3.75 fof(fact_838_diff__diff__right,axiom, % 3.71/3.75 ! [I_1,K_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_839_le__diff__conv,axiom, % 3.71/3.75 ! [J_1,K,I_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)),I_2)) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_840_le__add__diff,axiom, % 3.71/3.75 ! [M_1,K_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1)),K_1))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_841_le__add__diff__inverse,axiom, % 3.71/3.75 ! [N,M_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) = M_1 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_842_add__diff__assoc,axiom, % 3.71/3.75 ! [I_1,K_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_843_le__diff__conv2,axiom, % 3.71/3.75 ! [I_2,K,J_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_1)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_844_le__add__diff__inverse2,axiom, % 3.71/3.75 ! [N,M_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),N) = M_1 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_845_le__imp__diff__is__add,axiom, % 3.71/3.75 ! [K,I_2,J_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1)) % 3.71/3.75 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2) = K % 3.71/3.75 <=> J_1 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),I_2) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_846_diff__add__assoc,axiom, % 3.71/3.75 ! [I_1,K_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_847_add__diff__assoc2,axiom, % 3.71/3.75 ! [I_1,K_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),K_1) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_848_diff__add__assoc2,axiom, % 3.71/3.75 ! [I_1,K_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_849_Suc__eq__plus1__left,axiom, % 3.71/3.75 ! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N) ). % 3.71/3.75 % 3.71/3.75 fof(fact_850_Suc__eq__plus1,axiom, % 3.71/3.75 ! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat) ). % 3.71/3.75 % 3.71/3.75 fof(fact_851_diff__Suc__diff__eq1,axiom, % 3.71/3.75 ! [M_1,K_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),hAPP_nat_nat(suc,J)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_852_diff__Suc__diff__eq2,axiom, % 3.71/3.75 ! [M_1,K_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))),M_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,J)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M_1)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_853_termination__basic__simps_I4_J,axiom, % 3.71/3.75 ! [Y,X,Z] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Z)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_854_termination__basic__simps_I3_J,axiom, % 3.71/3.75 ! [Z,X,Y] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_855_lessI,axiom, % 3.71/3.75 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_856_Suc__mono,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_857_finite__Collect__less__nat,axiom, % 3.71/3.75 ! [K] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),K)))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_858_less__not__refl,axiom, % 3.71/3.75 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_859_nat__neq__iff,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( M != Na % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) % 3.71/3.75 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_860_linorder__neqE__nat,axiom, % 3.71/3.75 ! [X,Y] : % 3.71/3.75 ( X != Y % 3.71/3.75 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_861_less__irrefl__nat,axiom, % 3.71/3.75 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_862_less__not__refl2,axiom, % 3.71/3.75 ! [N,M_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M_1)) % 3.71/3.75 => M_1 != N ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_863_less__not__refl3,axiom, % 3.71/3.75 ! [S,T] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T)) % 3.71/3.75 => S != T ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_864_nat__less__cases,axiom, % 3.71/3.75 ! [Pa,M,Na] : % 3.71/3.75 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)) ) % 3.71/3.75 => ( ( M = Na % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)) ) % 3.71/3.75 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)) ) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_865_not__less__eq,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_866_less__Suc__eq,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na))) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) % 3.71/3.75 | M = Na ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_867_Suc__less__eq,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_868_not__less__less__Suc__eq,axiom, % 3.71/3.75 ! [Na,M] : % 3.71/3.75 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M))) % 3.71/3.75 <=> Na = M ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_869_less__antisym,axiom, % 3.71/3.75 ! [N,M_1] : % 3.71/3.75 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M_1)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M_1))) % 3.71/3.75 => M_1 = N ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_870_less__SucI,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_871_Suc__lessI,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => ( hAPP_nat_nat(suc,M_1) != N % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_872_less__trans__Suc,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_873_less__SucE,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N))) % 3.71/3.75 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => M_1 = N ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_874_Suc__lessD,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_875_Suc__less__SucD,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N))) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_876_not__add__less1,axiom, % 3.71/3.75 ! [I_1,J] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),I_1)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_877_not__add__less2,axiom, % 3.71/3.75 ! [J,I_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),I_1)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_878_nat__add__left__cancel__less,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_879_trans__less__add1,axiom, % 3.71/3.75 ! [M_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M_1))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_880_trans__less__add2,axiom, % 3.71/3.75 ! [M_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),J))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_881_add__less__mono1,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_882_add__less__mono,axiom, % 3.71/3.75 ! [K_1,L_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L_1))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_883_less__add__eq__less,axiom, % 3.71/3.75 ! [M_1,N,K_1,L_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_1)) % 3.71/3.75 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),L_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_884_add__lessD1,axiom, % 3.71/3.75 ! [I_1,J,K_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_885_termination__basic__simps_I1_J,axiom, % 3.71/3.75 ! [Z,X,Y] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_886_termination__basic__simps_I2_J,axiom, % 3.71/3.75 ! [Y,X,Z] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_887_nat__less__le,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) % 3.71/3.75 & M != Na ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_888_le__eq__less__or__eq,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) % 3.71/3.75 | M = Na ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_889_less__imp__le__nat,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_890_le__neq__implies__less,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.75 => ( M_1 != N % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_891_less__or__eq__imp__le,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 | M_1 = N ) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_892_termination__basic__simps_I5_J,axiom, % 3.71/3.75 ! [X,Y] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X),Y)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_893_less__imp__diff__less,axiom, % 3.71/3.75 ! [N,J,K_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),N)),K_1)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_894_diff__less__mono2,axiom, % 3.71/3.75 ! [L_1,M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),L_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),M_1))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_895_finite__nat__set__iff__bounded,axiom, % 3.71/3.75 ! [N_2] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2)) % 3.71/3.75 <=> ? [M_2] : % 3.71/3.75 ! [X_2] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),M_2)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_896_card__Collect__less__nat,axiom, % 3.71/3.75 ! [Na] : hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),Na))) = Na ). % 3.71/3.75 % 3.71/3.75 fof(fact_897_finite__M__bounded__by__nat,axiom, % 3.71/3.75 ! [Pa,I_2] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2))))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_898_less__add__Suc1,axiom, % 3.71/3.75 ! [I_1,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),M_1)))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_899_less__add__Suc2,axiom, % 3.71/3.75 ! [I_1,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),I_1)))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_900_less__iff__Suc__add,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) % 3.71/3.75 <=> ? [K_2] : Na = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_901_less__eq__Suc__le,axiom, % 3.71/3.75 ! [Na,M] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M)) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,Na)),M)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_902_less__Suc__eq__le,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_903_Suc__le__eq,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M)),Na)) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_904_le__imp__less__Suc,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_905_Suc__leI,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_1)),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_906_le__less__Suc__eq,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M))) % 3.71/3.75 <=> Na = M ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_907_Suc__le__lessD,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,M_1)),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_908_diff__less__Suc,axiom, % 3.71/3.75 ! [M_1,N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),hAPP_nat_nat(suc,M_1))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_909_less__diff__conv,axiom, % 3.71/3.75 ! [I_2,J_1,K] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_910_add__diff__inverse,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) = M_1 ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_911_diff__less__mono,axiom, % 3.71/3.75 ! [C,A_1,B_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_2)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_1),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_2),C))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_912_less__diff__iff,axiom, % 3.71/3.75 ! [Na,K,M] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),M)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_913_less__eq__Suc__le__raw,axiom, % 3.71/3.75 ! [X_2] : hAPP_n1699378549t_bool(ord_less_nat,X_2) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X_2)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_914_mono__nat__linear__lb,axiom, % 3.71/3.75 ! [M,K,F] : % 3.71/3.75 ( ! [M_2,N_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_2)),hAPP_nat_nat(F,N_1))) ) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M)),K)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_915_inc__induct,axiom, % 3.71/3.75 ! [Pa,I_2,J_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(Pa,J_1)) % 3.71/3.75 => ( ! [I] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_1)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,I))) % 3.71/3.75 => hBOOL(hAPP_nat_bool(Pa,I)) ) ) % 3.71/3.75 => hBOOL(hAPP_nat_bool(Pa,I_2)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_916_less__imp__Suc__add,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => ? [K_2] : N = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_917_bounded__nat__set__is__finite,axiom, % 3.71/3.75 ! [Na,N_2] : % 3.71/3.75 ( ! [X_2] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Na)) ) % 3.71/3.75 => hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_918_less__mono__imp__le__mono,axiom, % 3.71/3.75 ! [I_2,J_1,F] : % 3.71/3.75 ( ! [I,J_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I)),hAPP_nat_nat(F,J_2))) ) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J_1))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_919_lessE,axiom, % 3.71/3.75 ! [I_1,K_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1)) % 3.71/3.75 => ( K_1 != hAPP_nat_nat(suc,I_1) % 3.71/3.75 => ~ ! [J_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_2)) % 3.71/3.75 => K_1 != hAPP_nat_nat(suc,J_2) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_920_Suc__lessE,axiom, % 3.71/3.75 ! [I_1,K_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1)) % 3.71/3.75 => ~ ! [J_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_2)) % 3.71/3.75 => K_1 != hAPP_nat_nat(suc,J_2) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_921_less__zeroE,axiom, % 3.71/3.75 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_922_le0,axiom, % 3.71/3.75 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_923_zero__less__Suc,axiom, % 3.71/3.75 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_924_le__0__eq,axiom, % 3.71/3.75 ! [Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),zero_zero_nat)) % 3.71/3.75 <=> Na = zero_zero_nat ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_925_less__eq__nat_Osimps_I1_J,axiom, % 3.71/3.75 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_926_diffs0__imp__equal,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) = zero_zero_nat % 3.71/3.75 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_1) = zero_zero_nat % 3.71/3.75 => M_1 = N ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_927_diff__self__eq__0,axiom, % 3.71/3.75 ! [M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),M_1) = zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_928_minus__nat_Odiff__0,axiom, % 3.71/3.75 ! [M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),zero_zero_nat) = M_1 ). % 3.71/3.75 % 3.71/3.75 fof(fact_929_diff__0__eq__0,axiom, % 3.71/3.75 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N) = zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_930_bot__nat__def,axiom, % 3.71/3.75 bot_bot_nat = zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_931_add__eq__self__zero,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N) = M_1 % 3.71/3.75 => N = zero_zero_nat ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_932_add__is__0,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na) = zero_zero_nat % 3.71/3.75 <=> ( M = zero_zero_nat % 3.71/3.75 & Na = zero_zero_nat ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_933_Nat_Oadd__0__right,axiom, % 3.71/3.75 ! [M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),zero_zero_nat) = M_1 ). % 3.71/3.75 % 3.71/3.75 fof(fact_934_plus__nat_Oadd__0,axiom, % 3.71/3.75 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N) = N ). % 3.71/3.75 % 3.71/3.75 fof(fact_935_gr0I,axiom, % 3.71/3.75 ! [N] : % 3.71/3.75 ( N != zero_zero_nat % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_936_gr__implies__not0,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)) % 3.71/3.75 => N != zero_zero_nat ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_937_less__nat__zero__code,axiom, % 3.71/3.75 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_938_neq0__conv,axiom, % 3.71/3.75 ! [Na] : % 3.71/3.75 ( Na != zero_zero_nat % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_939_not__less0,axiom, % 3.71/3.75 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_940_Suc__neq__Zero,axiom, % 3.71/3.75 ! [M_1] : hAPP_nat_nat(suc,M_1) != zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_941_Zero__neq__Suc,axiom, % 3.71/3.75 ! [M_1] : zero_zero_nat != hAPP_nat_nat(suc,M_1) ). % 3.71/3.75 % 3.71/3.75 fof(fact_942_nat_Osimps_I3_J,axiom, % 3.71/3.75 ! [Nat_2] : hAPP_nat_nat(suc,Nat_2) != zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_943_Suc__not__Zero,axiom, % 3.71/3.75 ! [M_1] : hAPP_nat_nat(suc,M_1) != zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_944_nat_Osimps_I2_J,axiom, % 3.71/3.75 ! [Nat_1] : zero_zero_nat != hAPP_nat_nat(suc,Nat_1) ). % 3.71/3.75 % 3.71/3.75 fof(fact_945_Zero__not__Suc,axiom, % 3.71/3.75 ! [M_1] : zero_zero_nat != hAPP_nat_nat(suc,M_1) ). % 3.71/3.75 % 3.71/3.75 fof(fact_946_gr0__conv__Suc,axiom, % 3.71/3.75 ! [Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) % 3.71/3.75 <=> ? [M_2] : Na = hAPP_nat_nat(suc,M_2) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_947_less__Suc0,axiom, % 3.71/3.75 ! [Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,zero_zero_nat))) % 3.71/3.75 <=> Na = zero_zero_nat ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_948_less__Suc__eq__0__disj,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na))) % 3.71/3.75 <=> ( M = zero_zero_nat % 3.71/3.75 | ? [J_2] : % 3.71/3.75 ( M = hAPP_nat_nat(suc,J_2) % 3.71/3.75 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),Na)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_949_one__is__add,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na) % 3.71/3.75 <=> ( ( M = hAPP_nat_nat(suc,zero_zero_nat) % 3.71/3.75 & Na = zero_zero_nat ) % 3.71/3.75 | ( M = zero_zero_nat % 3.71/3.75 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_950_add__is__1,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na) = hAPP_nat_nat(suc,zero_zero_nat) % 3.71/3.75 <=> ( ( M = hAPP_nat_nat(suc,zero_zero_nat) % 3.71/3.75 & Na = zero_zero_nat ) % 3.71/3.75 | ( M = zero_zero_nat % 3.71/3.75 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_951_add__gr__0,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na))) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)) % 3.71/3.75 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_952_zero__less__diff,axiom, % 3.71/3.75 ! [Na,M] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),M))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_953_diff__less,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),M_1)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_954_diff__add__0,axiom, % 3.71/3.75 ! [N,M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1)) = zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_955_diff__is__0__eq,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na) = zero_zero_nat % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_956_diff__is__0__eq_H,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N) = zero_zero_nat ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_957_One__nat__def,axiom, % 3.71/3.75 one_one_nat = hAPP_nat_nat(suc,zero_zero_nat) ). % 3.71/3.75 % 3.71/3.75 fof(fact_958_diff__Suc,axiom, % 3.71/3.75 ! [M,Na] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,Na)) = hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_959_Suc__pred,axiom, % 3.71/3.75 ! [N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) % 3.71/3.75 => hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))) = N ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_960_diff__Suc__less,axiom, % 3.71/3.75 ! [I_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,I_1))),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_961_nat__diff__split,axiom, % 3.71/3.75 ! [Pa,A_2,B_3] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3))) % 3.71/3.75 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) ) % 3.71/3.75 & ! [D_2] : % 3.71/3.75 ( A_2 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D_2) % 3.71/3.75 => hBOOL(hAPP_nat_bool(Pa,D_2)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_962_nat__diff__split__asm,axiom, % 3.71/3.75 ! [Pa,A_2,B_3] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3))) % 3.71/3.75 <=> ~ ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3)) % 3.71/3.75 & ~ hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) ) % 3.71/3.75 | ? [D_2] : % 3.71/3.75 ( A_2 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D_2) % 3.71/3.75 & ~ hBOOL(hAPP_nat_bool(Pa,D_2)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_963_card__less__Suc,axiom, % 3.71/3.75 ! [I_2,M_3] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3)) % 3.71/3.75 => hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2))))) = hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2))))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_964_card__less,axiom, % 3.71/3.75 ! [I_2,M_3] : % 3.71/3.75 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3)) % 3.71/3.75 => hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2))))) != zero_zero_nat ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_965_card__less__Suc2,axiom, % 3.71/3.75 ! [I_2,M_3] : % 3.71/3.75 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3)) % 3.71/3.75 => hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2)))) = hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2))))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_966_Suc__diff__1,axiom, % 3.71/3.75 ! [N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) % 3.71/3.75 => hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)) = N ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_967_Suc__pred_H,axiom, % 3.71/3.75 ! [N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) % 3.71/3.75 => N = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_968_add__eq__if,axiom, % 3.71/3.75 ! [N,M_1] : % 3.71/3.75 ( ( M_1 = zero_zero_nat % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N) = N ) % 3.71/3.75 & ( M_1 != zero_zero_nat % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_969_ex__least__nat__less,axiom, % 3.71/3.75 ! [Na,Pa] : % 3.71/3.75 ( ~ hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(Pa,Na)) % 3.71/3.75 => ? [K_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),Na)) % 3.71/3.75 & ! [I] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),K_2)) % 3.71/3.75 => ~ hBOOL(hAPP_nat_bool(Pa,I)) ) % 3.71/3.75 & hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),one_one_nat))) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_970_ex__least__nat__le,axiom, % 3.71/3.75 ! [Na,Pa] : % 3.71/3.75 ( ~ hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(Pa,Na)) % 3.71/3.75 => ? [K_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),Na)) % 3.71/3.75 & ! [I] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_2)) % 3.71/3.75 => ~ hBOOL(hAPP_nat_bool(Pa,I)) ) % 3.71/3.75 & hBOOL(hAPP_nat_bool(Pa,K_2)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_971_less__imp__add__positive,axiom, % 3.71/3.75 ! [I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) % 3.71/3.75 => ? [K_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2)) % 3.71/3.75 & hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_2) = J ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_972_gr0__implies__Suc,axiom, % 3.71/3.75 ! [N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) % 3.71/3.75 => ? [M_2] : N = hAPP_nat_nat(suc,M_2) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_973_nat_Oexhaust,axiom, % 3.71/3.75 ! [Y] : % 3.71/3.75 ( Y != zero_zero_nat % 3.71/3.75 => ~ ! [Nat] : Y != hAPP_nat_nat(suc,Nat) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_974_zero__induct,axiom, % 3.71/3.75 ! [Pa,K] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(Pa,K)) % 3.71/3.75 => ( ! [N_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1))) % 3.71/3.75 => hBOOL(hAPP_nat_bool(Pa,N_1)) ) % 3.71/3.75 => hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_975_not0__implies__Suc,axiom, % 3.71/3.75 ! [N] : % 3.71/3.75 ( N != zero_zero_nat % 3.71/3.75 => ? [M_2] : N = hAPP_nat_nat(suc,M_2) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_976_nat__induct,axiom, % 3.71/3.75 ! [Na,Pa] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)) % 3.71/3.75 => ( ! [N_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(Pa,N_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1))) ) % 3.71/3.75 => hBOOL(hAPP_nat_bool(Pa,Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_977_expand__Suc,axiom, % 3.71/3.75 ! [V] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V))) % 3.71/3.75 => number_number_of_nat(V) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,number_number_of_nat(V)),one_one_nat)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_978_mult__0,axiom, % 3.71/3.75 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),N) = zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_979_mult__0__right,axiom, % 3.71/3.75 ! [M_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),zero_zero_nat) = zero_zero_nat ). % 3.71/3.75 % 3.71/3.75 fof(fact_980_mult__is__0,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na) = zero_zero_nat % 3.71/3.75 <=> ( M = zero_zero_nat % 3.71/3.75 | Na = zero_zero_nat ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_981_mult__cancel1,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na) % 3.71/3.75 <=> ( M = Na % 3.71/3.75 | K = zero_zero_nat ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_982_mult__cancel2,axiom, % 3.71/3.75 ! [M,K,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K) % 3.71/3.75 <=> ( M = Na % 3.71/3.75 | K = zero_zero_nat ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_983_Suc__mult__cancel1,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na) % 3.71/3.75 <=> M = Na ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_984_add__mult__distrib,axiom, % 3.71/3.75 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_985_add__mult__distrib2,axiom, % 3.71/3.75 ! [K_1,M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_986_mult__le__mono,axiom, % 3.71/3.75 ! [K_1,L_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),L_1))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_987_mult__le__mono2,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),J))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_988_mult__le__mono1,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),K_1))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_989_le__cube,axiom, % 3.71/3.75 ! [M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),M_1)))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_990_le__square,axiom, % 3.71/3.75 ! [M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),M_1))) ). % 3.71/3.75 % 3.71/3.75 fof(fact_991_diff__mult__distrib,axiom, % 3.71/3.75 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_992_diff__mult__distrib2,axiom, % 3.71/3.75 ! [K_1,M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_993_nat__mult__eq__1__iff,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na) = one_one_nat % 3.71/3.75 <=> ( M = one_one_nat % 3.71/3.75 & Na = one_one_nat ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_994_nat__mult__1__right,axiom, % 3.71/3.75 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),one_one_nat) = N ). % 3.71/3.75 % 3.71/3.75 fof(fact_995_nat__1__eq__mult__iff,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( one_one_nat = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na) % 3.71/3.75 <=> ( M = one_one_nat % 3.71/3.75 & Na = one_one_nat ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_996_nat__mult__1,axiom, % 3.71/3.75 ! [N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),N) = N ). % 3.71/3.75 % 3.71/3.75 fof(fact_997_mult__eq__1__iff,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na) = hAPP_nat_nat(suc,zero_zero_nat) % 3.71/3.75 <=> ( M = hAPP_nat_nat(suc,zero_zero_nat) % 3.71/3.75 & Na = hAPP_nat_nat(suc,zero_zero_nat) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_998_mult__less__mono2,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),J))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_999_mult__less__mono1,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),K_1))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1000_mult__less__cancel2,axiom, % 3.71/3.75 ! [M,K,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K))) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.71/3.75 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1001_mult__less__cancel1,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na))) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.71/3.75 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1002_nat__0__less__mult__iff,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na))) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)) % 3.71/3.75 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1003_Suc__mult__less__cancel1,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1004_mult__Suc__right,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(suc,N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1005_mult__Suc,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,M_1)),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1006_Suc__mult__le__cancel1,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1007_mult__eq__self__implies__10,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( M_1 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N) % 3.71/3.75 => ( N = one_one_nat % 3.71/3.75 | M_1 = zero_zero_nat ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1008_n__less__m__mult__n,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1009_n__less__n__mult__m,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M_1))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1010_one__less__mult,axiom, % 3.71/3.75 ! [M_1,N] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1011_one__le__mult__iff,axiom, % 3.71/3.75 ! [M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na))) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,zero_zero_nat)),M)) % 3.71/3.75 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,zero_zero_nat)),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1012_mult__le__cancel1,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na))) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1013_mult__le__cancel2,axiom, % 3.71/3.75 ! [M,K,Na] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K))) % 3.71/3.75 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.71/3.75 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1014_mult__eq__if,axiom, % 3.71/3.75 ! [N,M_1] : % 3.71/3.75 ( ( M_1 = zero_zero_nat % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N) = zero_zero_nat ) % 3.71/3.75 & ( M_1 != zero_zero_nat % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1015_nat__less__add__iff2,axiom, % 3.71/3.75 ! [U,M,Na,I_2,J_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)),U)),Na))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1016_nat__mult__commute,axiom, % 3.71/3.75 ! [M_1,N] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M_1) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1017_nat__mult__assoc,axiom, % 3.71/3.75 ! [M_1,N,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)),K_1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1018_less__number__of__int__code,axiom, % 3.71/3.75 ! [K,L] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L))) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1019_zmult__1,axiom, % 3.71/3.75 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),Z) = Z ). % 3.71/3.75 % 3.71/3.75 fof(fact_1020_zmult__1__right,axiom, % 3.71/3.75 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z),one_one_int) = Z ). % 3.71/3.75 % 3.71/3.75 fof(fact_1021_zmult__commute,axiom, % 3.71/3.75 ! [Z,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z),W) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1022_times__numeral__code_I5_J,axiom, % 3.71/3.75 ! [V,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,number_number_of_int(V)),number_number_of_int(W)) = number_number_of_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V),W)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1023_zmult__assoc,axiom, % 3.71/3.75 ! [Z1,Z2,Z3] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),Z2)),Z3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),Z3)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1024_less__eq__number__of__int__code,axiom, % 3.71/3.75 ! [K,L] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(K)),number_number_of_int(L))) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1025_zdiff__zmult__distrib,axiom, % 3.71/3.75 ! [Z1,Z2,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z1),Z2)),W) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),W)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),W)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1026_zdiff__zmult__distrib2,axiom, % 3.71/3.75 ! [W,Z1,Z2] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z1),Z2)) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z2)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1027_zadd__zmult__distrib2,axiom, % 3.71/3.75 ! [W,Z1,Z2] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z2)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1028_plus__numeral__code_I9_J,axiom, % 3.71/3.75 ! [V,W] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,number_number_of_int(V)),number_number_of_int(W)) = number_number_of_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),W)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1029_zadd__zmult__distrib,axiom, % 3.71/3.75 ! [Z1,Z2,W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),W)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),W)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1030_zmult__zless__mono2,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),J))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1031_pos__zmult__eq__1__iff,axiom, % 3.71/3.75 ! [Na,M] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M)) % 3.71/3.75 => ( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),Na) = one_one_int % 3.71/3.75 <=> ( M = one_one_int % 3.71/3.75 & Na = one_one_int ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1032_odd__nonzero,axiom, % 3.71/3.75 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z)),Z) != zero_zero_int ). % 3.71/3.75 % 3.71/3.75 fof(fact_1033_zadd__0__right,axiom, % 3.71/3.75 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z),zero_zero_int) = Z ). % 3.71/3.75 % 3.71/3.75 fof(fact_1034_zadd__0,axiom, % 3.71/3.75 ! [Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),Z) = Z ). % 3.71/3.75 % 3.71/3.75 fof(fact_1035_int__0__less__1,axiom, % 3.71/3.75 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1036_int__one__le__iff__zero__less,axiom, % 3.71/3.75 ! [Z_2] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Z_2)) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1037_less__bin__lemma,axiom, % 3.71/3.75 ! [K,L] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),L)),zero_zero_int)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1038_le__imp__0__less,axiom, % 3.71/3.75 ! [Z] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1039_odd__less__0,axiom, % 3.71/3.75 ! [Z_2] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z_2)),Z_2)),zero_zero_int)) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),zero_zero_int)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1040_zadd__left__mono,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),I_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),J))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1041_zadd__assoc,axiom, % 3.71/3.75 ! [Z1,Z2,Z3] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)),Z3) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z2),Z3)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1042_zadd__left__commute,axiom, % 3.71/3.75 ! [X,Y,Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y),Z)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Z)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1043_zadd__commute,axiom, % 3.71/3.75 ! [Z,W] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1044_zle__refl,axiom, % 3.71/3.75 ! [W] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),W)) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1045_zle__linear,axiom, % 3.71/3.75 ! [Z,W] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),W)) % 3.71/3.75 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1046_zle__trans,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),J)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,J),K_1)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),K_1)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1047_zle__antisym,axiom, % 3.71/3.75 ! [Z,W] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),W)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z)) % 3.71/3.75 => Z = W ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1048_zle__diff1__eq,axiom, % 3.71/3.75 ! [W_1,Z_2] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_2),one_one_int))) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1049_zless__linear,axiom, % 3.71/3.75 ! [X,Y] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y)) % 3.71/3.75 | X = Y % 3.71/3.75 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1050_zless__le,axiom, % 3.71/3.75 ! [Z_2,W_1] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1)) % 3.71/3.75 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),W_1)) % 3.71/3.75 & Z_2 != W_1 ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1051_zadd__strict__right__mono,axiom, % 3.71/3.75 ! [K_1,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_1),K_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,J),K_1))) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1052_zadd__zless__mono,axiom, % 3.71/3.75 ! [Z_4,Z,W_2,W] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_4),Z)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_2),Z_4)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1053_zle__add1__eq__le,axiom, % 3.71/3.75 ! [W_1,Z_2] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int))) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W_1),Z_2)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1054_add1__zle__eq,axiom, % 3.71/3.75 ! [W_1,Z_2] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),one_one_int)),Z_2)) % 3.71/3.75 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1055_zless__imp__add1__zle,axiom, % 3.71/3.75 ! [W,Z] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),one_one_int)),Z)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1056_zless__add1__eq,axiom, % 3.71/3.75 ! [W_1,Z_2] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int))) % 3.71/3.75 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)) % 3.71/3.75 | W_1 = Z_2 ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1057_nat__mult__eq__cancel__disj,axiom, % 3.71/3.75 ! [K,M,Na] : % 3.71/3.75 ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na) % 3.71/3.75 <=> ( K = zero_zero_nat % 3.71/3.75 | M = Na ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1058_left__add__mult__distrib,axiom, % 3.71/3.75 ! [I_1,U_1,J,K_1] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U_1)),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),U_1)),K_1) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1059_nat__mult__eq__cancel1,axiom, % 3.71/3.75 ! [M,Na,K] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.71/3.75 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na) % 3.71/3.75 <=> M = Na ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1060_nat__mult__less__cancel1,axiom, % 3.71/3.75 ! [M,Na,K] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1061_nat__mult__le__cancel1,axiom, % 3.71/3.75 ! [M,Na,K] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1062_nat__le__add__iff1,axiom, % 3.71/3.75 ! [U,M,Na,J_1,I_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),I_2)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1063_nat__diff__add__eq1,axiom, % 3.71/3.75 ! [U_1,M_1,N,J,I_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),I_1)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U_1)),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U_1)),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U_1)),M_1)),N) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1064_nat__eq__add__iff1,axiom, % 3.71/3.75 ! [U,M,Na,J_1,I_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),I_2)) % 3.71/3.75 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na) % 3.71/3.75 <=> hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M) = Na ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1065_nat__le__add__iff2,axiom, % 3.71/3.75 ! [U,M,Na,I_2,J_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)),U)),Na))) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1066_nat__diff__add__eq2,axiom, % 3.71/3.75 ! [U_1,M_1,N,I_1,J] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J)) % 3.71/3.75 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U_1)),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U_1)),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)),U_1)),N)) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1067_nat__eq__add__iff2,axiom, % 3.71/3.75 ! [U,M,Na,I_2,J_1] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1)) % 3.71/3.75 => ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na) % 3.71/3.75 <=> M = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)),U)),Na) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1068_nat__less__add__iff1,axiom, % 3.71/3.75 ! [U,M,Na,J_1,I_2] : % 3.71/3.75 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),I_2)) % 3.71/3.75 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_1),U)),Na))) % 3.71/3.75 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1069_zdiv__mono2__neg__lemma,axiom, % 3.71/3.75 ! [B_2,Q_2,R_2,B_1,Q_1,R_1] : % 3.71/3.75 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1)),zero_zero_int)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_1),B_2)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),Q_2)) ) ) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1070_unique__quotient__lemma__neg,axiom, % 3.71/3.75 ! [B_2,Q_1,R_1,Q_2,R_2] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_1)),R_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2))) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,R_2),zero_zero_int)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_2)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_1)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_2),Q_1)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1071_number__of__is__id,axiom, % 3.71/3.75 ! [K_1] : number_number_of_int(K_1) = K_1 ). % 3.71/3.75 % 3.71/3.75 fof(fact_1072_int__0__neq__1,axiom, % 3.71/3.75 zero_zero_int != one_one_int ). % 3.71/3.75 % 3.71/3.75 fof(fact_1073_self__quotient__aux1,axiom, % 3.71/3.75 ! [R_2,Q_2,A_1] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1)) % 3.71/3.75 => ( A_1 = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),Q_2)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),A_1)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Q_2)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1074_self__quotient__aux2,axiom, % 3.71/3.75 ! [R_2,Q_2,A_1] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1)) % 3.71/3.75 => ( A_1 = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),Q_2)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_2)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_2),one_one_int)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1075_q__pos__lemma,axiom, % 3.71/3.75 ! [B_1,Q_1,R_1] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1))) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Q_1)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1076_q__neg__lemma,axiom, % 3.71/3.75 ! [B_1,Q_1,R_1] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1)),zero_zero_int)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),zero_zero_int)) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1077_unique__quotient__lemma,axiom, % 3.71/3.75 ! [B_2,Q_1,R_1,Q_2,R_2] : % 3.71/3.75 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_1)),R_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2))) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_2)) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2)) % 3.71/3.75 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),Q_2)) ) ) ) ) ). % 3.71/3.75 % 3.71/3.75 fof(fact_1078_zdiv__mono2__lemma,axiom, % 3.71/3.75 ! [B_2,Q_2,R_2,B_1,Q_1,R_1] : % 3.71/3.75 ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_1))) % 3.71/3.75 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_2)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_1),B_2)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_2),Q_1)) ) ) ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1079_int__less__induct,axiom, % 3.71/3.76 ! [Pa,I_2,K] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),one_one_int))) % 3.71/3.76 => ( ! [I] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),K)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,I)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))) ) ) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1080_int__le__induct,axiom, % 3.71/3.76 ! [Pa,I_2,K] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),K)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,K)) % 3.71/3.76 => ( ! [I] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I),K)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,I)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))) ) ) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1081_int__gr__induct,axiom, % 3.71/3.76 ! [Pa,K,I_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_2)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K),one_one_int))) % 3.71/3.76 => ( ! [I] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,I)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))) ) ) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1082_int__ge__induct,axiom, % 3.71/3.76 ! [Pa,K,I_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),I_2)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,K)) % 3.71/3.76 => ( ! [I] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),I)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,I)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))) ) ) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1083_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 3.71/3.76 ! [Y,X] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y))) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1084_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 3.71/3.76 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1085_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 3.71/3.76 ! [Y,X] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1086_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 3.71/3.76 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1087_transfer__nat__int__set__cong,axiom, % 3.71/3.76 ! [P_1,Pa] : % 3.71/3.76 ( ! [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,X_2)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(P_1,X_2)) ) ) % 3.71/3.76 => collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),Pa)) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),P_1)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1088_decr__mult__lemma,axiom, % 3.71/3.76 ! [K,Pa,D_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1)) % 3.71/3.76 => ( ! [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(Pa,X_2)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))) ) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K)) % 3.71/3.76 => ! [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(Pa,X_2)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1)))) ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1089_conj__le__cong,axiom, % 3.71/3.76 ! [P_1,Pa,X_1] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.71/3.76 => ( hBOOL(Pa) % 3.71/3.76 <=> hBOOL(P_1) ) ) % 3.71/3.76 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.71/3.76 & hBOOL(Pa) ) % 3.71/3.76 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.71/3.76 & hBOOL(P_1) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1090_imp__le__cong,axiom, % 3.71/3.76 ! [P_1,Pa,X_1] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.71/3.76 => ( hBOOL(Pa) % 3.71/3.76 <=> hBOOL(P_1) ) ) % 3.71/3.76 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.71/3.76 => hBOOL(Pa) ) % 3.71/3.76 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.71/3.76 => hBOOL(P_1) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1091_incr__mult__lemma,axiom, % 3.71/3.76 ! [K,Pa,D_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1)) % 3.71/3.76 => ( ! [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(Pa,X_2)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))) ) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K)) % 3.71/3.76 => ! [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(Pa,X_2)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1)))) ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1092_int__induct,axiom, % 3.71/3.76 ! [I_2,Pa,K] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(Pa,K)) % 3.71/3.76 => ( ! [I] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),I)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,I)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))) ) ) % 3.71/3.76 => ( ! [I] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I),K)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,I)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))) ) ) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,I_2)) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1093_minusinfinity,axiom, % 3.71/3.76 ! [Pa,P1,D_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1)) % 3.71/3.76 => ( ! [X_2,K_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(P1,X_2)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),D_1)))) ) % 3.71/3.76 => ( ? [Z_3] : % 3.71/3.76 ! [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Z_3)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,X_2)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(P1,X_2)) ) ) % 3.71/3.76 => ( ? [X1] : hBOOL(hAPP_int_bool(P1,X1)) % 3.71/3.76 => ? [X1] : hBOOL(hAPP_int_bool(Pa,X1)) ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1094_plusinfinity,axiom, % 3.71/3.76 ! [Pa,P_1,D_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1)) % 3.71/3.76 => ( ! [X_2,K_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(P_1,X_2)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),D_1)))) ) % 3.71/3.76 => ( ? [Z_3] : % 3.71/3.76 ! [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),X_2)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(Pa,X_2)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(P_1,X_2)) ) ) % 3.71/3.76 => ( ? [X1] : hBOOL(hAPP_int_bool(P_1,X1)) % 3.71/3.76 => ? [X1] : hBOOL(hAPP_int_bool(Pa,X1)) ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1095_tsub__def,axiom, % 3.71/3.76 ! [Y,X] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y),X)) % 3.71/3.76 => hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y) ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y),X)) % 3.71/3.76 => hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y) = zero_zero_int ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1096_zero__zle__int,axiom, % 3.71/3.76 ! [N] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1097_int__less__0__conv,axiom, % 3.71/3.76 ! [K_1] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_1)),zero_zero_int)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1098_int__1,axiom, % 3.71/3.76 hAPP_nat_int(semiri1621563631at_int,one_one_nat) = one_one_int ). % 3.71/3.76 % 3.71/3.76 fof(fact_1099_int__0,axiom, % 3.71/3.76 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) = zero_zero_int ). % 3.71/3.76 % 3.71/3.76 fof(fact_1100_int__eq__0__conv,axiom, % 3.71/3.76 ! [Na] : % 3.71/3.76 ( hAPP_nat_int(semiri1621563631at_int,Na) = zero_zero_int % 3.71/3.76 <=> Na = zero_zero_nat ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1101_zless__int,axiom, % 3.71/3.76 ! [M,Na] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na))) % 3.71/3.76 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1102_zle__int,axiom, % 3.71/3.76 ! [M,Na] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na))) % 3.71/3.76 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),Na)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1103_zadd__int,axiom, % 3.71/3.76 ! [M_1,N] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1104_zadd__int__left,axiom, % 3.71/3.76 ! [M_1,N,Z] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,N)),Z)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))),Z) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1105_zle__iff__zadd,axiom, % 3.71/3.76 ! [W_1,Z_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W_1),Z_2)) % 3.71/3.76 <=> ? [N_1] : Z_2 = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,N_1)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1106_zmult__int,axiom, % 3.71/3.76 ! [M_1,N] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1107_int__mult,axiom, % 3.71/3.76 ! [M_1,N] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1108_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 3.71/3.76 ! [X,Y] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1109_transfer__int__nat__relations_I2_J,axiom, % 3.71/3.76 ! [X_1,Y_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))) % 3.71/3.76 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1110_transfer__int__nat__relations_I3_J,axiom, % 3.71/3.76 ! [X_1,Y_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))) % 3.71/3.76 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_1),Y_1)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1111_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 3.71/3.76 ! [X,Y] : hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X),Y)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1112_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 3.71/3.76 ! [X,Y] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Y)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1113_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 3.71/3.76 ! [A] : hAPP_f22106695ol_nat(finite_card_nat,A) = hAPP_f957591787ol_nat(finite_card_int,image_nat_int(semiri1621563631at_int,A)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1114_transfer__nat__int__set__relations_I1_J,axiom, % 3.71/3.76 ! [A] : % 3.71/3.76 ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)) % 3.71/3.76 <=> hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1115_transfer__int__nat__numerals_I2_J,axiom, % 3.71/3.76 one_one_int = hAPP_nat_int(semiri1621563631at_int,one_one_nat) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1116_transfer__int__nat__numerals_I1_J,axiom, % 3.71/3.76 zero_zero_int = hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1117_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 3.71/3.76 ! [Pa] : collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),Pa)) = image_nat_int(semiri1621563631at_int,collect_nat(cOMBB_int_bool_nat(Pa,semiri1621563631at_int))) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1118_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 3.71/3.76 ! [Z] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z))) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1119_transfer__int__nat__quantifiers_I2_J,axiom, % 3.71/3.76 ! [Pa] : % 3.71/3.76 ( ? [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.71/3.76 & hBOOL(hAPP_int_bool(Pa,X_2)) ) % 3.71/3.76 <=> ? [X_2] : hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X_2))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1120_transfer__int__nat__quantifiers_I1_J,axiom, % 3.71/3.76 ! [Pa] : % 3.71/3.76 ( ! [X_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,X_2)) ) % 3.71/3.76 <=> ! [X_2] : hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X_2))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1121_int__le__0__conv,axiom, % 3.71/3.76 ! [Na] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int)) % 3.71/3.76 <=> Na = zero_zero_nat ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1122_int__Suc0__eq__1,axiom, % 3.71/3.76 hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat)) = one_one_int ). % 3.71/3.76 % 3.71/3.76 fof(fact_1123_zless__iff__Suc__zadd,axiom, % 3.71/3.76 ! [W_1,Z_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)) % 3.71/3.76 <=> ? [N_1] : Z_2 = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1124_int__Suc,axiom, % 3.71/3.76 ! [M_1] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M_1)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,M_1)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1125_zdiff__int,axiom, % 3.71/3.76 ! [N,M_1] : % 3.71/3.76 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M_1)) % 3.71/3.76 => hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1126_zero__less__int__conv,axiom, % 3.71/3.76 ! [Na] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na))) % 3.71/3.76 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1127_zmult__zless__mono2__lemma,axiom, % 3.71/3.76 ! [K_1,I_1,J] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J)) % 3.71/3.76 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,K_1)),I_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,K_1)),J))) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1128_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 3.71/3.76 ! [Y,X] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y))) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1129_zdiff__int__split,axiom, % 3.71/3.76 ! [Pa,X_1,Y_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1)))) % 3.71/3.76 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_1),X_1)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))) ) % 3.71/3.76 & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)) % 3.71/3.76 => hBOOL(hAPP_int_bool(Pa,zero_zero_int)) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1130_tsub__eq,axiom, % 3.71/3.76 ! [Y,X] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y),X)) % 3.71/3.76 => hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y) = hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1131_zero__less__imp__eq__int,axiom, % 3.71/3.76 ! [K_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1)) % 3.71/3.76 => ? [N_1] : % 3.71/3.76 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.71/3.76 & K_1 = hAPP_nat_int(semiri1621563631at_int,N_1) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1132_int__int__eq,axiom, % 3.71/3.76 ! [M,Na] : % 3.71/3.76 ( hAPP_nat_int(semiri1621563631at_int,M) = hAPP_nat_int(semiri1621563631at_int,Na) % 3.71/3.76 <=> M = Na ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1133_transfer__nat__int__set__relations_I4_J,axiom, % 3.71/3.76 ! [A,B] : % 3.71/3.76 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B)) % 3.71/3.76 <=> hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,image_nat_int(semiri1621563631at_int,A)),image_nat_int(semiri1621563631at_int,B))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1134_transfer__nat__int__set__relations_I5_J,axiom, % 3.71/3.76 ! [A,B] : % 3.71/3.76 ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)) % 3.71/3.76 <=> hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(semiri1621563631at_int,A)),image_nat_int(semiri1621563631at_int,B))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1135_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 3.71/3.76 bot_bot_fun_int_bool = image_nat_int(semiri1621563631at_int,bot_bot_fun_nat_bool) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1136_transfer__nat__int__set__relations_I3_J,axiom, % 3.71/3.76 ! [A,B] : % 3.71/3.76 ( A = B % 3.71/3.76 <=> image_nat_int(semiri1621563631at_int,A) = image_nat_int(semiri1621563631at_int,B) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1137_transfer__nat__int__set__relations_I2_J,axiom, % 3.71/3.76 ! [X_1,A] : % 3.71/3.76 ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)) % 3.71/3.76 <=> hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(semiri1621563631at_int,X_1)),image_nat_int(semiri1621563631at_int,A))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1138_int__if__cong,axiom, % 3.71/3.76 ! [X_1,Y_1,Pa] : % 3.71/3.76 ( ( hBOOL(Pa) % 3.71/3.76 => hAPP_nat_int(semiri1621563631at_int,X_1) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(Pa),X_1),Y_1)) ) % 3.71/3.76 & ( ~ hBOOL(Pa) % 3.71/3.76 => hAPP_nat_int(semiri1621563631at_int,Y_1) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(Pa),X_1),Y_1)) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1139_transfer__int__nat__relations_I1_J,axiom, % 3.71/3.76 ! [X_1,Y_1] : % 3.71/3.76 ( hAPP_nat_int(semiri1621563631at_int,X_1) = hAPP_nat_int(semiri1621563631at_int,Y_1) % 3.71/3.76 <=> X_1 = Y_1 ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1140_nonneg__int__cases,axiom, % 3.71/3.76 ! [K_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K_1)) % 3.71/3.76 => ~ ! [N_1] : K_1 != hAPP_nat_int(semiri1621563631at_int,N_1) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1141_nonneg__eq__int,axiom, % 3.71/3.76 ! [Z] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z)) % 3.71/3.76 => ~ ! [M_2] : Z != hAPP_nat_int(semiri1621563631at_int,M_2) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1142_zero__le__imp__eq__int,axiom, % 3.71/3.76 ! [K_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K_1)) % 3.71/3.76 => ? [N_1] : K_1 = hAPP_nat_int(semiri1621563631at_int,N_1) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1143_int__diff__cases,axiom, % 3.71/3.76 ! [Z] : % 3.71/3.76 ~ ! [M_2,N_1] : Z != hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_2)),hAPP_nat_int(semiri1621563631at_int,N_1)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1144_decr__lemma,axiom, % 3.71/3.76 ! [X,Z,D] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Z))),one_one_int)),D))),Z)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1145_zabs__less__one__iff,axiom, % 3.71/3.76 ! [Z_2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_2)),one_one_int)) % 3.71/3.76 <=> Z_2 = zero_zero_int ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1146_neg__def,axiom, % 3.71/3.76 ! [Z_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(nat_neg,Z_1)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1147_not__neg__eq__ge__0,axiom, % 3.71/3.76 ! [X_1] : % 3.71/3.76 ( ~ hBOOL(hAPP_int_bool(nat_neg,X_1)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1148_not__neg__1,axiom, % 3.71/3.76 ~ hBOOL(hAPP_int_bool(nat_neg,one_one_int)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1149_not__neg__0,axiom, % 3.71/3.76 ~ hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1150_abs__zmult__eq__1,axiom, % 3.71/3.76 ! [M_1,N] : % 3.71/3.76 ( abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N)) = one_one_int % 3.71/3.76 => abs_abs_int(M_1) = one_one_int ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1151_not__neg__int,axiom, % 3.71/3.76 ! [N] : ~ hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N))) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1152_abs__int__eq,axiom, % 3.71/3.76 ! [M_1] : abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M_1)) = hAPP_nat_int(semiri1621563631at_int,M_1) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1153_neg__imp__number__of__eq__0,axiom, % 3.71/3.76 ! [V] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => number_number_of_nat(V) = zero_zero_nat ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1154_eq__nat__number__of,axiom, % 3.71/3.76 ! [V_3,V_2] : % 3.71/3.76 ( number_number_of_nat(V_3) = number_number_of_nat(V_2) % 3.71/3.76 <=> ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3))) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(V_2)),zero_zero_int)) ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3))) % 3.71/3.76 => ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2))) % 3.71/3.76 => number_number_of_int(V_3) = zero_zero_int ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2))) % 3.71/3.76 => V_3 = V_2 ) ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1155_nat__number__of__add__left,axiom, % 3.71/3.76 ! [V_1,K_1,V] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1) ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1))) % 3.71/3.76 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),K_1) ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1))) % 3.71/3.76 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),V_1))),K_1) ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1156_int__nat__number__of,axiom, % 3.71/3.76 ! [V] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V)) = zero_zero_int ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V)) = number_number_of_int(V) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1157_incr__lemma,axiom, % 3.71/3.76 ! [Z,X,D] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Z))),one_one_int)),D)))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1158_int__val__lemma,axiom, % 3.71/3.76 ! [K,F,Na] : % 3.71/3.76 ( ! [I] : % 3.71/3.76 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int)) ) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,zero_zero_nat)),K)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),hAPP_nat_int(F,Na))) % 3.71/3.76 => ? [I] : % 3.71/3.76 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),Na)) % 3.71/3.76 & hAPP_nat_int(F,I) = K ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1159_nat0__intermed__int__val,axiom, % 3.71/3.76 ! [K,F,Na] : % 3.71/3.76 ( ! [I] : % 3.71/3.76 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na)) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int)) ) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,zero_zero_nat)),K)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),hAPP_nat_int(F,Na))) % 3.71/3.76 => ? [I] : % 3.71/3.76 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),Na)) % 3.71/3.76 & hAPP_nat_int(F,I) = K ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1160_nat__intermed__int__val,axiom, % 3.71/3.76 ! [K,F,Na,M] : % 3.71/3.76 ( ! [I] : % 3.71/3.76 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),I)) % 3.71/3.76 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na)) ) % 3.71/3.76 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int)) ) % 3.71/3.76 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,M)),K)) % 3.71/3.76 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),hAPP_nat_int(F,Na))) % 3.71/3.76 => ? [I] : % 3.71/3.76 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),I)) % 3.71/3.76 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),Na)) % 3.71/3.76 & hAPP_nat_int(F,I) = K ) ) ) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1161_Suc__nat__number__of__add,axiom, % 3.71/3.76 ! [N,V] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N) ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),N)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(succ(V))),N) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1162_succ__def,axiom, % 3.71/3.76 ! [K_1] : succ(K_1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1163_Suc__nat__number__of,axiom, % 3.71/3.76 ! [V] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => hAPP_nat_nat(suc,number_number_of_nat(V)) = one_one_nat ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V))) % 3.71/3.76 => hAPP_nat_nat(suc,number_number_of_nat(V)) = number_number_of_nat(succ(V)) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1164_nat__number__of__Bit1,axiom, % 3.71/3.76 ! [W] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W))) % 3.71/3.76 => number_number_of_nat(bit1(W)) = zero_zero_nat ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W))) % 3.71/3.76 => number_number_of_nat(bit1(W)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(W)),number_number_of_nat(W))) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1165_nat__1__add__number__of,axiom, % 3.71/3.76 ! [V] : % 3.71/3.76 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls)) % 3.71/3.76 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),number_number_of_nat(V)) = one_one_nat ) % 3.71/3.76 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls)) % 3.71/3.76 => hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),number_number_of_nat(V)) = number_number_of_nat(succ(V)) ) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1166_succ__Pls,axiom, % 3.71/3.76 succ(pls) = bit1(pls) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1167_neg__number__of__Bit1,axiom, % 3.71/3.76 ! [W_1] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(bit1(W_1)))) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W_1))) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1168_not__neg__number__of__Pls,axiom, % 3.71/3.76 ~ hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pls))) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1169_transfer__int__nat__numerals_I4_J,axiom, % 3.71/3.76 number_number_of_int(bit1(bit1(pls))) = hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1170_numeral__1__eq__Suc__0,axiom, % 3.71/3.76 number_number_of_nat(bit1(pls)) = hAPP_nat_nat(suc,zero_zero_nat) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1171_numeral__3__eq__3,axiom, % 3.71/3.76 number_number_of_nat(bit1(bit1(pls))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1172_Suc3__eq__add__3,axiom, % 3.71/3.76 ! [N] : hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(bit1(bit1(pls)))),N) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1173_Numeral1__eq1__nat,axiom, % 3.71/3.76 one_one_nat = number_number_of_nat(bit1(pls)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1174_nat__numeral__1__eq__1,axiom, % 3.71/3.76 number_number_of_nat(bit1(pls)) = one_one_nat ). % 3.71/3.76 % 3.71/3.76 fof(fact_1175_one__is__num__one,axiom, % 3.71/3.76 one_one_int = number_number_of_int(bit1(pls)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1176_zero__is__num__zero,axiom, % 3.71/3.76 zero_zero_int = number_number_of_int(pls) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1177_Bit1__def,axiom, % 3.71/3.76 ! [K_1] : bit1(K_1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_1)),K_1) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1178_nat__number__of__Pls,axiom, % 3.71/3.76 number_number_of_nat(pls) = zero_zero_nat ). % 3.71/3.76 % 3.71/3.76 fof(fact_1179_semiring__norm_I113_J,axiom, % 3.71/3.76 zero_zero_nat = number_number_of_nat(pls) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1180_Pls__def,axiom, % 3.71/3.76 pls = zero_zero_int ). % 3.71/3.76 % 3.71/3.76 fof(fact_1181_rel__simps_I51_J,axiom, % 3.71/3.76 ! [K,L] : % 3.71/3.76 ( bit1(K) = bit1(L) % 3.71/3.76 <=> K = L ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1182_rel__simps_I46_J,axiom, % 3.71/3.76 ! [K_1] : bit1(K_1) != pls ). % 3.71/3.76 % 3.71/3.76 fof(fact_1183_rel__simps_I39_J,axiom, % 3.71/3.76 ! [L_1] : pls != bit1(L_1) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1184_diff__bin__simps_I1_J,axiom, % 3.71/3.76 ! [K_1] : hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),pls) = K_1 ). % 3.71/3.76 % 3.71/3.76 fof(fact_1185_add__Pls,axiom, % 3.71/3.76 ! [K_1] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_1) = K_1 ). % 3.71/3.76 % 3.71/3.76 fof(fact_1186_add__Pls__right,axiom, % 3.71/3.76 ! [K_1] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),pls) = K_1 ). % 3.71/3.76 % 3.71/3.76 fof(fact_1187_mult__Pls,axiom, % 3.71/3.76 ! [W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W) = pls ). % 3.71/3.76 % 3.71/3.76 fof(fact_1188_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 3.71/3.76 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1189_rel__simps_I19_J,axiom, % 3.71/3.76 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1190_rel__simps_I22_J,axiom, % 3.71/3.76 ! [K] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(K))) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1191_rel__simps_I34_J,axiom, % 3.71/3.76 ! [K,L] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),bit1(L))) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1192_less__eq__int__code_I16_J,axiom, % 3.71/3.76 ! [K1,K2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K1)),bit1(K2))) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1193_rel__simps_I2_J,axiom, % 3.71/3.76 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1194_rel__simps_I12_J,axiom, % 3.71/3.76 ! [K] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1195_rel__simps_I17_J,axiom, % 3.71/3.76 ! [K,L] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L))) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1196_less__int__code_I16_J,axiom, % 3.71/3.76 ! [K1,K2] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2))) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1197_rel__simps_I29_J,axiom, % 3.71/3.76 ! [K] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),pls)) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ). % 3.71/3.76 % 3.71/3.76 fof(fact_1198_rel__simps_I5_J,axiom, % 3.71/3.76 ! [K] : % 3.71/3.76 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K))) % 3.71/3.76 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ). % 3.71/3.76 % 3.71/3.76 %----Helper facts (103) % 3.71/3.76 fof(help_fNot_1_1_U,axiom, % 3.71/3.76 ! [P] : % 3.71/3.76 ( ~ hBOOL(hAPP_bool_bool(fNot,P)) % 3.71/3.76 | ~ hBOOL(P) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fNot_2_1_U,axiom, % 3.71/3.76 ! [P] : % 3.71/3.76 ( hBOOL(P) % 3.71/3.76 | hBOOL(hAPP_bool_bool(fNot,P)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fconj_1_1_U,axiom, % 3.71/3.76 ! [Q,P] : % 3.71/3.76 ( ~ hBOOL(P) % 3.71/3.76 | ~ hBOOL(Q) % 3.71/3.76 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fconj_2_1_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) % 3.71/3.76 | hBOOL(P) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fconj_3_1_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) % 3.71/3.76 | hBOOL(Q) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fdisj_1_1_U,axiom, % 3.71/3.76 ! [Q,P] : % 3.71/3.76 ( ~ hBOOL(P) % 3.71/3.76 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fdisj_2_1_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( ~ hBOOL(Q) % 3.71/3.76 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fdisj_3_1_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) % 3.71/3.76 | hBOOL(P) % 3.71/3.76 | hBOOL(Q) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fFalse_1_1_U,axiom, % 3.71/3.76 ~ hBOOL(fFalse) ). % 3.71/3.76 % 3.71/3.76 fof(help_fFalse_1_1_T,axiom, % 3.71/3.76 ! [P] : % 3.71/3.76 ( is_bool(P) % 3.71/3.76 => ( P = fTrue % 3.71/3.76 | P = fFalse ) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fimplies_1_1_U,axiom, % 3.71/3.76 ! [Q,P] : % 3.71/3.76 ( hBOOL(P) % 3.71/3.76 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fimplies_2_1_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( ~ hBOOL(Q) % 3.71/3.76 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fimplies_3_1_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)) % 3.71/3.76 | ~ hBOOL(P) % 3.71/3.76 | hBOOL(Q) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_1_1_fequal_000t__a_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( ( is_a(X) % 3.71/3.76 & is_a(Y) ) % 3.71/3.76 => ( ~ hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X),Y)) % 3.71/3.76 | X = Y ) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_2_1_fequal_000t__a_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( X != Y % 3.71/3.76 | hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X),Y)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_If_1_1_If_000tc__Nat__Onat_T,axiom, % 3.71/3.76 ! [X,Y] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(fTrue),X),Y) = X ). % 3.71/3.76 % 3.71/3.76 fof(help_If_2_1_If_000tc__Nat__Onat_T,axiom, % 3.71/3.76 ! [X,Y] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(fFalse),X),Y) = Y ). % 3.71/3.76 % 3.71/3.76 fof(help_If_3_1_If_000tc__Nat__Onat_T,axiom, % 3.71/3.76 ! [P] : % 3.71/3.76 ( is_bool(P) % 3.71/3.76 => ( P = fTrue % 3.71/3.76 | P = fFalse ) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBI_1_1_COMBI_000tc__Nat__Onat_U,axiom, % 3.71/3.76 ! [P] : hAPP_nat_nat(cOMBI_nat,P) = P ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_1_1_fequal_000tc__Int__Oint_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fequal_int,X),Y)) % 3.71/3.76 | X = Y ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_2_1_fequal_000tc__Int__Oint_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( X != Y % 3.71/3.76 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fequal_int,X),Y)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) % 3.71/3.76 | X = Y ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( X != Y % 3.71/3.76 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_1_1_fequal_000tc__Com__Opname_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( ( is_pname(X) % 3.71/3.76 & is_pname(Y) ) % 3.71/3.76 => ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y)) % 3.71/3.76 | X = Y ) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_2_1_fequal_000tc__Com__Opname_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( X != Y % 3.71/3.76 | hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X),Y)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000t__a_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( is_bool(P) % 3.71/3.76 => hAPP_a_bool(cOMBK_bool_a(P),Q) = P ) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBK_1_1_COMBK_000t__a_000tc__Com__Opname_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( is_a(P) % 3.71/3.76 => hAPP_pname_a(cOMBK_a_pname(P),Q) = P ) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(P),Q),R) = hAPP_a_bool(hAPP_a_fun_a_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBK_1_1_COMBK_000tc__Int__Oint_000tc__Nat__Onat_U,axiom, % 3.71/3.76 ! [P,Q] : hAPP_nat_int(cOMBK_int_nat(P),Q) = P ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Int__Oint_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( is_bool(P) % 3.71/3.76 => hAPP_int_bool(cOMBK_bool_int(P),Q) = P ) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom, % 3.71/3.76 ! [P,Q] : % 3.71/3.76 ( is_bool(P) % 3.71/3.76 => hAPP_nat_bool(cOMBK_bool_nat(P),Q) = P ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( ( is_fun_a_bool(X) % 3.71/3.76 & is_fun_a_bool(Y) ) % 3.71/3.76 => ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X),Y)) % 3.71/3.76 | X = Y ) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( X != Y % 3.71/3.76 | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X),Y)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000t__a_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(hAPP_a_fun_int_bool(cOMBC_int_a_bool(P),Q),R) = hAPP_a_bool(hAPP_int_fun_a_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_a_bool(cOMBB_bool_bool_a(P,Q),R) = hAPP_bool_bool(P,hAPP_a_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_a_bool(cOMBS_a_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_a_fun_bool_bool(P,R),hAPP_a_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(P),Q),R) = hAPP_a_bool(hAPP_p1534023578a_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(fequal_fun_int_bool,X),Y)) % 3.71/3.76 | X = Y ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( X != Y % 3.71/3.76 | hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(fequal_fun_int_bool,X),Y)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X),Y)) % 3.71/3.76 | X = Y ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( X != Y % 3.71/3.76 | hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X),Y)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( ( is_fun_pname_bool(X) % 3.71/3.76 & is_fun_pname_bool(Y) ) % 3.71/3.76 => ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y)) % 3.71/3.76 | X = Y ) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom, % 3.71/3.76 ! [X,Y] : % 3.71/3.76 ( X != Y % 3.71/3.76 | hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X),Y)) ) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__Int__Oint_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(cOMBB_int_bool_nat(P,Q),R) = hAPP_int_bool(P,hAPP_nat_int(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(hAPP_i1948725293t_bool(cOMBC_int_int_bool(P),Q),R) = hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Int__Oint_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(hAPP_i418383825t_bool(cOMBC_nat_int_bool(P),Q),R) = hAPP_int_bool(hAPP_n1082236369t_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(P),Q),R) = hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Int__Oint_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(cOMBB_bool_bool_int(P,Q),R) = hAPP_bool_bool(P,hAPP_int_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R) = hAPP_bool_bool(P,hAPP_nat_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBS_1_1_COMBS_000tc__Int__Oint_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(cOMBS_int_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_i68813070l_bool(P,R),hAPP_int_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R) = hAPP_bool_bool(P,hAPP_pname_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_pname_bool(cOMBS_568398431l_bool(P,Q),R) = hAPP_bool_bool(hAPP_p393069232l_bool(P,R),hAPP_pname_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(P),Q),R) = hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Int__Oint,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_fun_a_bool(cOMBB_375279840ol_int(P,Q),R) = hAPP_a_fun_a_bool(P,hAPP_int_a(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t__,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_a_bool(cOMBB_1273333599bool_a(P,Q),R) = hAPP_fun_a_bool_bool(P,hAPP_a_fun_a_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_p1534023578a_bool(cOMBB_1897541054_pname(P,Q),R) = hAPP_a_fun_a_bool(P,hAPP_pname_a(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(hAPP_f1812805200t_bool(cOMBC_1753430397l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_i888906320l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_a_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f198738859l_bool(P,R),hAPP_fun_a_bool_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__Int__Oint_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n1082236369t_bool(cOMBB_1628441366ol_nat(P,Q),R) = hAPP_i1948725293t_bool(P,hAPP_nat_int(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_a_fun_a_bool(hAPP_f1038053735a_bool(cOMBC_394484100a_bool(P),Q),R) = hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(cOMBB_1418110531ol_int(P,Q),R) = hAPP_f448129468l_bool(P,hAPP_i1948725293t_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(cOMBB_955900739ol_nat(P,Q),R) = hAPP_f54304608l_bool(P,hAPP_n1699378549t_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(hAPP_f1805168059t_bool(cOMBC_94739984l_bool(P),Q),R) = hAPP_f448129468l_bool(hAPP_i2112223885l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(hAPP_f183368031t_bool(cOMBC_1848398772l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_i1718399025l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(hAPP_f274826591t_bool(cOMBC_620423604l_bool(P),Q),R) = hAPP_f448129468l_bool(hAPP_n609083369l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_003,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_i68813070l_bool(cOMBB_1652995168ol_int(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_int_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_004,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f448129468l_bool(cOMBS_1912792529l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f1721100032l_bool(P,R),hAPP_f448129468l_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f54304608l_bool(cOMBS_1187019125l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f1748468828l_bool(P,R),hAPP_f54304608l_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_int_bool(hAPP_f449020825t_bool(cOMBC_316919022l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_i1587699435l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_n850744903l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_005,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f1664156314l_bool(cOMBS_350070575l_bool(P,Q),R) = hAPP_bool_bool(hAPP_f1476298914l_bool(P,R),hAPP_f1664156314l_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(P),Q),R) = hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f198738859l_bool(cOMBB_338059395a_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_fun_a_bool_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HO,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n215258509l_bool(cOMBB_1146692694ol_nat(P,Q),R) = hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool__007,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_i1948725293t_bool(hAPP_f1048215610t_bool(cOMBC_1683390479t_bool(P),Q),R) = hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__008,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBC_178881787t_bool(P),Q),R) = hAPP_f800510211t_bool(hAPP_n1512601776t_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f448129468l_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(P),Q),R) = hAPP_f448129468l_bool(hAPP_f284875647l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(P),Q),R) = hAPP_f54304608l_bool(hAPP_f103356543l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f1721100032l_bool(cOMBB_1974511970t_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f448129468l_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f1748468828l_bool(cOMBB_444170502t_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f54304608l_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(P),Q),R) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_i888906320l_bool(cOMBB_313729068ol_int(P,Q),R) = hAPP_f1631501043l_bool(P,hAPP_int_fun_a_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___012,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(P,Q),R) = hAPP_f1631501043l_bool(P,hAPP_nat_fun_a_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_i2112223885l_bool(cOMBB_1761098400ol_int(P,Q),R) = hAPP_f284875647l_bool(P,hAPP_i1948725293t_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_000tc__fun_Itc__013,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n609083369l_bool(cOMBB_1123824708ol_nat(P,Q),R) = hAPP_f284875647l_bool(P,hAPP_n1082236369t_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_i1718399025l_bool(cOMBB_516767136ol_int(P,Q),R) = hAPP_f103356543l_bool(P,hAPP_i418383825t_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__014,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(P,Q),R) = hAPP_f103356543l_bool(P,hAPP_n1699378549t_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_i1587699435l_bool(cOMBB_607112096ol_int(P,Q),R) = hAPP_f434788991l_bool(P,hAPP_i7355787e_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_015,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(P,Q),R) = hAPP_f434788991l_bool(P,hAPP_n1025906991e_bool(Q,R)) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(P),Q),R) = hAPP_f621171935l_bool(hAPP_f1434722111l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Int__Oint_Mtc__HOL__Obool_J_Mtc__H,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f215623910l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(P),Q),R) = hAPP_f215623910l_bool(hAPP_f317860125l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(P),Q),R) = hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom, % 3.71/3.76 ! [P,Q,R] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(P),Q),R) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q) ). % 3.71/3.76 % 3.71/3.76 %----Conjectures (7) % 3.71/3.76 fof(conj_0,hypothesis, % 3.71/3.76 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)) ). % 3.71/3.76 % 3.71/3.76 fof(conj_1,hypothesis, % 3.71/3.76 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ). % 3.71/3.76 % 3.71/3.76 fof(conj_2,hypothesis, % 3.71/3.76 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,na)),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)))) ). % 3.71/3.76 % 3.71/3.76 fof(conj_3,hypothesis, % 3.71/3.76 hAPP_fun_a_bool_nat(finite_card_a,g) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)) ). % 3.71/3.76 % 3.71/3.76 fof(conj_4,hypothesis, % 3.71/3.76 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)) ). % 3.71/3.76 % 3.71/3.76 fof(conj_5,hypothesis, % 3.71/3.76 ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)) ). % 3.71/3.76 % 3.71/3.76 fof(conj_6,conjecture, % 3.71/3.76 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))) ). % 3.71/3.76 % 3.71/3.76 %------------------------------------------------------------------------------ % 3.71/3.76 %------------------------------------------- % 3.71/3.76 % Proof found % 3.71/3.76 % SZS status Theorem for theBenchmark % 3.71/3.76 % SZS output start Proof % 3.71/3.76 %ClaNum:3070(EqnAxiom:983) % 3.71/3.76 %VarNum:10052(SingletonVarNum:3963) % 3.71/3.76 %MaxLitNum:7 % 3.71/3.76 %MaxfuncDepth:10 % 3.71/3.76 %SharedTerms:285 % 3.71/3.76 %goalClause: 1359 % 3.71/3.76 %singleGoalClaCount:1 % 3.71/3.76 [984]E(a1,a2) % 3.71/3.76 [986]E(a11,a12) % 3.71/3.76 [991]P1(a4) % 3.71/3.76 [992]P1(a317) % 3.71/3.76 [993]P7(a5) % 3.71/3.76 [994]P7(a565) % 3.71/3.76 [995]P2(a318) % 3.71/3.76 [996]P3(a9) % 3.71/3.76 [997]P3(a13) % 3.71/3.76 [998]P3(a319) % 3.71/3.76 [999]P6(a355) % 3.71/3.76 [1000]P8(a566) % 3.71/3.76 [1317]~E(a548,a11) % 3.71/3.76 [1318]~P5(a13) % 3.71/3.76 [987]E(f14(a13),a3) % 3.71/3.76 [988]E(f75(a13),a10) % 3.71/3.76 [990]E(f316(a12),a1) % 3.71/3.76 [1002]P4(f582(a581)) % 3.71/3.76 [1003]P8(f586(a569)) % 3.71/3.76 [1007]E(f362(a571,a1),a547) % 3.71/3.76 [1010]E(f363(a570,a547),a548) % 3.71/3.76 [1011]E(f363(a570,a1),a11) % 3.71/3.76 [1016]P5(f364(a318,a4)) % 3.71/3.76 [1017]P5(f365(a355,a5)) % 3.71/3.76 [1018]P5(f365(a355,a565)) % 3.71/3.76 [1019]P5(f394(a356,a3)) % 3.71/3.76 [1020]P5(f420(a357,a10)) % 3.71/3.76 [1327]~P5(f449(a546,a548)) % 3.71/3.76 [1328]~P5(f449(a546,a11)) % 3.71/3.76 [1329]~P5(f449(a546,a12)) % 3.71/3.76 [1001]E(f76(f15(a13)),a4) % 3.71/3.76 [1060]E(f363(a570,f362(a571,a1)),a548) % 3.71/3.76 [1096]P1(f587(f359(a581,a7))) % 3.71/3.76 [1097]P7(f583(f359(a569,a7))) % 3.71/3.76 [1102]P5(f449(f443(a551,a11),a548)) % 3.71/3.76 [1105]P5(f449(f443(a563,a11),a548)) % 3.71/3.76 [1106]P5(f365(f471(a526,a566),a565)) % 3.71/3.76 [1204]P5(f364(f392(a552,a317),f514(a537,a565))) % 3.71/3.76 [1239]E(f362(f464(a540,f442(a353,f514(a537,a565))),f362(a571,a543)),f442(a353,a317)) % 3.71/3.76 [1336]~P5(f449(f443(a563,a12),a12)) % 3.71/3.76 [1359]~P5(f364(f392(a552,f401(f369(a518,f475(a537,a566)),a317)),f514(a537,a565))) % 3.71/3.76 [1210]P2(f584(f359(f359(a581,a7),a7))) % 3.71/3.76 [1211]P6(f585(f359(f359(a569,a7),a7))) % 3.71/3.76 [1261]P5(f458(f460(a550,f362(a571,a543)),f442(a353,f514(a537,a565)))) % 3.71/3.76 [1351]~P5(f364(f372(a530,f475(a537,a566)),a317)) % 3.71/3.76 [1220]E(f454(f453(a568,f454(f453(a568,a548),a12)),a12),a548) % 3.71/3.76 [1240]E(f454(f453(a568,f454(f453(a568,a548),a12)),a12),f454(f453(a568,a12),a548)) % 3.71/3.76 [1280]E(f316(f454(f453(a568,f454(f453(a568,a548),a12)),a12)),a547) % 3.71/3.76 [1281]E(f316(f454(f453(a568,f454(f453(a568,a548),a12)),a12)),f362(a571,a1)) % 3.71/3.76 [1313]E(f316(f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f362(a571,f362(a571,f362(a571,a1)))) % 3.71/3.76 [1314]P5(f449(f443(a551,a11),f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12)))) % 3.71/3.76 [1315]E(f363(a570,f316(f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12)))),f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12))) % 3.71/3.76 [1004]P3(f588(x10041)) % 3.71/3.76 [1005]P4(f360(x10051)) % 3.71/3.76 [1012]E(f514(x10121,a5),a4) % 3.71/3.76 [1013]E(f361(x10131,a10),a3) % 3.71/3.76 [1014]E(f362(a16,x10141),x10141) % 3.71/3.76 [1324]~E(f362(a571,x13241),a1) % 3.71/3.76 [1326]~E(f362(a571,x13261),x13261) % 3.71/3.76 [1061]E(f401(f396(a535,a4),x10611),a4) % 3.71/3.76 [1062]E(f425(f397(a539,a10),x10621),a10) % 3.71/3.76 [1063]E(f402(f368(a536,a3),x10631),a3) % 3.71/3.76 [1064]E(f362(f464(a540,a1),x10641),a1) % 3.71/3.76 [1065]E(f362(f464(a572,a1),x10651),a1) % 3.71/3.76 [1066]E(f454(f453(a573,a12),x10661),a12) % 3.71/3.76 [1067]E(f362(f464(a567,a1),x10671),x10671) % 3.71/3.76 [1068]E(f362(f464(a572,a547),x10681),x10681) % 3.71/3.76 [1069]E(f454(f453(a568,a11),x10691),x10691) % 3.71/3.76 [1070]E(f454(f453(a568,a12),x10701),x10701) % 3.71/3.76 [1071]E(f454(f453(a573,a548),x10711),x10711) % 3.71/3.76 [1072]E(f362(f464(a572,x10721),a1),a1) % 3.71/3.76 [1073]E(f425(f397(a539,x10731),a10),x10731) % 3.71/3.76 [1074]E(f402(f368(a536,x10741),a3),x10741) % 3.71/3.76 [1075]E(f362(f464(a540,x10751),a1),x10751) % 3.71/3.76 [1076]E(f362(f464(a567,x10761),a1),x10761) % 3.71/3.76 [1077]E(f362(f464(a572,x10771),a547),x10771) % 3.71/3.76 [1078]E(f454(f453(a541,x10781),a12),x10781) % 3.71/3.76 [1079]E(f454(f453(a568,x10791),a11),x10791) % 3.71/3.76 [1080]E(f454(f453(a568,x10801),a12),x10801) % 3.71/3.76 [1081]E(f454(f453(a573,x10811),a548),x10811) % 3.71/3.76 [1082]E(f401(f396(a535,x10821),x10821),a4) % 3.71/3.76 [1083]E(f425(f397(a539,x10831),x10831),a10) % 3.71/3.76 [1084]E(f402(f368(a536,x10841),x10841),a3) % 3.71/3.76 [1085]E(f362(f464(a540,x10851),x10851),a1) % 3.71/3.76 [1086]E(f6(f363(a570,x10861)),f363(a570,x10861)) % 3.71/3.76 [1088]E(f362(f464(a567,a547),x10881),f362(a571,x10881)) % 3.71/3.76 [1091]E(f460(a550,f362(a571,x10911)),f460(a549,x10911)) % 3.71/3.76 [1092]E(f436(a352,f361(a570,x10921)),f412(a351,x10921)) % 3.71/3.76 [1093]E(f425(f461(a516,x10931),a10),f460(a322,x10931)) % 3.71/3.76 [1094]E(f362(f464(a567,x10941),a547),f362(a571,x10941)) % 3.71/3.76 [1095]E(f402(f441(a517,x10951),a3),f443(a323,x10951)) % 3.71/3.76 [1098]E(f425(f461(a516,x10981),a10),f460(f17(a322),x10981)) % 3.71/3.76 [1099]E(f402(f441(a517,x10991),a3),f443(f18(a323),x10991)) % 3.71/3.76 [1101]E(f401(f369(a518,x11011),a4),f76(f370(a324,x11011))) % 3.71/3.76 [1107]P5(f458(f460(a550,a2),x11071)) % 3.71/3.76 [1109]P5(f458(f460(a550,a1),x11091)) % 3.71/3.76 [1111]P5(f364(f392(a552,a4),x11111)) % 3.71/3.76 [1113]P5(f394(f413(a553,a3),x11131)) % 3.71/3.76 [1115]P5(f420(f376(a554,a10),x11151)) % 3.71/3.76 [1122]P5(f449(f443(a551,x11221),x11221)) % 3.71/3.76 [1124]P5(f458(f460(a550,x11241),x11241)) % 3.71/3.76 [1126]P5(f364(f392(a552,x11261),x11261)) % 3.71/3.76 [1128]P5(f394(f413(a553,x11281),x11281)) % 3.71/3.76 [1130]P5(f420(f376(a554,x11301),x11301)) % 3.71/3.76 [1194]E(f454(f453(a568,a548),f363(a570,x11941)),f363(a570,f362(a571,x11941))) % 3.71/3.76 [1207]P5(f449(f443(a551,a11),f363(a570,x12071))) % 3.71/3.76 [1208]P5(f458(f460(a549,a1),f362(a571,x12081))) % 3.71/3.76 [1209]P5(f458(f460(a549,x12091),f362(a571,x12091))) % 3.71/3.76 [1337]~P5(f449(a546,f363(a570,x13371))) % 3.71/3.76 [1340]~P5(f458(f460(a549,x13401),a1)) % 3.71/3.76 [1342]~P5(f364(f372(a530,x13421),a4)) % 3.71/3.76 [1344]~P5(f365(f471(a526,x13441),a5)) % 3.71/3.76 [1346]~P5(f394(f445(a528,x13461),a3)) % 3.71/3.76 [1348]~P5(f420(f462(a527,x13481),a10)) % 3.71/3.76 [1350]~P5(f458(f460(a549,x13501),x13501)) % 3.71/3.76 [1087]E(f412(a351,f460(f17(a549),x10871)),x10871) % 3.71/3.76 [1100]E(f412(a351,f460(f17(a550),x11001)),f362(a571,x11001)) % 3.71/3.76 [1116]E(f76(f370(f19(a324),x11161)),f401(f369(a518,x11161),a4)) % 3.71/3.76 [1161]E(f412(a574,f425(f461(a516,x11611),a10)),x11611) % 3.71/3.76 [1162]E(f393(a575,f402(f441(a517,x11621),a3)),x11621) % 3.71/3.76 [1163]E(f362(f464(a540,f362(a571,x11631)),a547),x11631) % 3.71/3.76 [1164]P5(f420(a357,f460(f17(a550),x11641))) % 3.71/3.76 [1165]P5(f420(a357,f460(f17(a549),x11651))) % 3.71/3.76 [1205]E(f84(f31(a325,f443(a551,a11)),x12051),f361(a570,f48(x12051,a570))) % 3.71/3.76 [1214]E(f454(f453(a541,f363(a570,f91(x12141))),f363(a570,f222(x12141))),x12141) % 3.71/3.76 [1248]P5(f458(f460(a550,x12481),f362(f464(a572,x12481),x12481))) % 3.71/3.76 [1352]~P5(f449(f443(a563,f363(a570,x13521)),a11)) % 3.71/3.76 [1353]~P5(f458(f460(a550,f362(a571,x13531)),x13531)) % 3.71/3.76 [1217]E(f437(a576,f21(f392(a328,x12171),f381(f53(a518),a4))),f437(a577,x12171)) % 3.71/3.76 [1218]E(f412(a579,f43(f376(a329,x12181),f390(f59(a516),a10))),f412(a574,x12181)) % 3.71/3.76 [1219]E(f393(a580,f27(f413(a330,x12191),f383(f58(a517),a3))),f393(a575,x12191)) % 3.71/3.76 [1304]P5(f458(f460(a550,x13041),f362(f464(a572,x13041),f362(f464(a572,x13041),x13041)))) % 3.71/3.76 [1355]~E(f454(f453(a568,f454(f453(a568,a548),x13551)),x13551),a11) % 3.71/3.76 [1356]~E(f454(f453(a568,f454(f453(a568,a548),x13561)),x13561),a12) % 3.71/3.76 [1316]E(f362(f464(a567,f316(f454(f453(a568,f454(f453(a568,a548),f454(f453(a568,f454(f453(a568,a548),a12)),a12))),f454(f453(a568,f454(f453(a568,a548),a12)),a12)))),x13161),f362(a571,f362(a571,f362(a571,x13161)))) % 3.71/3.76 [1021]P1(f465(x10211,x10212)) % 3.71/3.76 [1022]P1(f510(x10221,x10222)) % 3.71/3.76 [1023]P1(f466(x10231,x10232)) % 3.71/3.76 [1024]P1(f509(x10241,x10242)) % 3.71/3.76 [1025]P1(f438(x10251,x10252)) % 3.71/3.76 [1026]P1(f451(x10261,x10262)) % 3.71/3.76 [1027]P7(f511(x10271,x10272)) % 3.71/3.76 [1028]P7(f515(x10281,x10282)) % 3.71/3.76 [1029]P7(f467(x10291,x10292)) % 3.71/3.76 [1030]P7(f468(x10301,x10302)) % 3.71/3.76 [1031]P7(f439(x10311,x10312)) % 3.71/3.76 [1032]P7(f452(x10321,x10322)) % 3.71/3.76 [1033]P2(f512(x10331,x10332)) % 3.71/3.76 [1034]P2(f513(x10341,x10342)) % 3.71/3.76 [1035]P2(f448(x10351,x10352)) % 3.71/3.76 [1036]P2(f456(x10361,x10362)) % 3.71/3.76 [1037]P3(f358(x10371,x10372)) % 3.71/3.76 [1038]P3(f321(x10381,x10382)) % 3.71/3.76 [1039]P3(f333(x10391,x10392)) % 3.71/3.76 [1040]P3(f339(x10401,x10402)) % 3.71/3.76 [1041]P3(f340(x10411,x10412)) % 3.71/3.76 [1042]P3(f342(x10421,x10422)) % 3.71/3.76 [1043]P3(f334(x10431,x10432)) % 3.71/3.76 [1044]P3(f343(x10441,x10442)) % 3.71/3.76 [1045]P3(f449(x10451,x10452)) % 3.71/3.76 [1046]P3(f458(x10461,x10462)) % 3.71/3.76 [1047]P3(f394(x10471,x10472)) % 3.71/3.76 [1048]P3(f420(x10481,x10482)) % 3.71/3.76 [1049]P3(f395(x10491,x10492)) % 3.71/3.76 [1050]P3(f366(x10501,x10502)) % 3.71/3.76 [1051]P3(f411(x10511,x10512)) % 3.71/3.76 [1052]P3(f417(x10521,x10522)) % 3.71/3.76 [1053]P3(f367(x10531,x10532)) % 3.71/3.76 [1054]P3(f424(x10541,x10542)) % 3.71/3.76 [1055]P6(f495(x10551,x10552)) % 3.71/3.76 [1056]P6(f469(x10561,x10562)) % 3.71/3.76 [1057]P6(f440(x10571,x10572)) % 3.71/3.76 [1058]P6(f459(x10581,x10582)) % 3.71/3.76 [1059]P4(f450(x10591,x10592)) % 3.71/3.76 [1015]E(f363(f77(x10151),x10152),x10151) % 3.71/3.76 [1117]E(f362(f464(a567,x11171),x11172),f362(f464(a567,x11172),x11171)) % 3.71/3.76 [1118]E(f362(f464(a572,x11181),x11182),f362(f464(a572,x11182),x11181)) % 3.71/3.76 [1119]E(f454(f453(a568,x11191),x11192),f454(f453(a568,x11192),x11191)) % 3.71/3.76 [1120]E(f454(f453(a573,x11201),x11202),f454(f453(a573,x11202),x11201)) % 3.71/3.76 [1213]E(f362(f464(a540,f362(a571,x12131)),f362(a571,x12132)),f362(f464(a540,x12131),x12132)) % 3.71/3.76 [1296]P5(f458(f460(a549,f362(f464(a540,x12961),x12962)),f362(a571,x12961))) % 3.71/3.76 [1333]~E(f401(f369(a518,x13331),x13332),a4) % 3.71/3.76 [1334]~E(f425(f461(a516,x13341),x13342),a10) % 3.71/3.76 [1335]~E(f402(f441(a517,x13351),x13352),a3) % 3.71/3.76 [1089]E(f362(f464(f470(a13),x10891),x10892),x10892) % 3.71/3.76 [1090]E(f362(f464(f470(a319),x10901),x10902),x10901) % 3.71/3.76 [1203]E(f362(f464(a540,x12031),f362(f464(a567,x12031),x12032)),a1) % 3.71/3.76 [1212]E(f362(f464(a567,f362(a571,x12121)),x12122),f362(f464(a567,x12121),f362(a571,x12122))) % 3.71/3.76 [1215]E(f362(f464(a567,x12151),f362(a571,x12152)),f362(a571,f362(f464(a567,x12151),x12152))) % 3.71/3.76 [1216]E(f401(f369(a518,x12161),f401(f369(a518,x12161),x12162)),f401(f369(a518,x12161),x12162)) % 3.71/3.76 [1221]E(f362(f542(a1,a16),f362(f464(a540,x12211),x12212)),f362(f464(a540,x12211),f362(a571,x12212))) % 3.71/3.76 [1222]E(f362(f464(a567,f362(a571,x12221)),x12222),f362(a571,f362(f464(a567,x12221),x12222))) % 3.71/3.76 [1223]E(f362(f464(a567,x12231),f362(f464(a572,x12231),x12232)),f362(f464(a572,x12231),f362(a571,x12232))) % 3.71/3.76 [1225]E(f85(f23(a326,f460(f17(a322),x12251)),f425(f61(a527),x12252)),f425(f461(a516,x12251),x12252)) % 3.71/3.76 [1227]E(f84(f31(a326,f443(f18(a323),x12271)),f402(f66(a528),x12272)),f402(f441(a517,x12271),x12272)) % 3.71/3.76 [1234]E(f454(f453(a568,f363(a570,x12341)),f363(a570,x12342)),f363(a570,f362(f464(a567,x12341),x12342))) % 3.71/3.76 [1236]E(f454(f453(a573,f363(a570,x12361)),f363(a570,x12362)),f363(a570,f362(f464(a572,x12361),x12362))) % 3.71/3.76 [1237]E(f454(f453(a545,f363(a570,x12371)),f363(a570,x12372)),f363(a570,f362(f464(a540,x12371),x12372))) % 3.71/3.76 [1238]E(f362(f464(a567,x12381),f362(f464(a572,x12382),x12381)),f362(f464(a572,f362(a571,x12382)),x12381)) % 3.71/3.76 [1246]P5(f458(f460(a550,x12461),f362(f464(a567,x12462),x12461))) % 3.71/3.76 [1247]P5(f458(f460(a550,x12471),f362(f464(a567,x12471),x12472))) % 3.71/3.76 [1249]P5(f364(f372(a530,x12491),f401(f369(a518,x12491),x12492))) % 3.71/3.76 [1250]P5(f364(f392(a552,x12501),f401(f369(a518,x12502),x12501))) % 3.71/3.76 [1251]P5(f365(f471(a526,x12511),f426(f478(a529,x12511),x12512))) % 3.71/3.76 [1252]P5(f394(f413(a553,x12521),f402(f441(a517,x12522),x12521))) % 3.71/3.76 [1253]P5(f394(f445(a528,x12531),f402(f441(a517,x12531),x12532))) % 3.71/3.76 [1254]P5(f420(f376(a554,x12541),f425(f461(a516,x12542),x12541))) % 3.71/3.76 [1255]P5(f420(f462(a527,x12551),f425(f461(a516,x12551),x12552))) % 3.71/3.76 [1228]E(f362(f464(a540,f362(f464(a567,x12281),x12282)),x12282),x12281) % 3.71/3.76 [1229]E(f362(f464(a540,f362(f464(a567,x12291),x12292)),x12291),x12292) % 3.71/3.76 [1230]E(f454(f453(a541,f454(f453(a568,x12301),x12302)),x12302),x12301) % 3.71/3.76 [1231]E(f454(f453(a568,f454(f453(a541,x12311),x12312)),x12312),x12311) % 3.71/3.76 [1256]E(f85(f23(a325,f425(f61(a527),x12561)),f47(a320,f425(f61(a527),x12562))),f425(f397(a539,x12561),x12562)) % 3.71/3.76 [1257]E(f84(f31(a325,f402(f66(a528),x12571)),f46(a320,f402(f66(a528),x12572))),f402(f368(a536,x12571),x12572)) % 3.71/3.76 [1258]E(f362(f464(a540,f362(f464(a540,x12581),a547)),x12582),f362(f464(a540,x12581),f362(a571,x12582))) % 3.71/3.76 [1262]E(f401(f369(a518,x12621),f401(f396(a535,x12622),f401(f369(a518,x12621),a4))),f401(f369(a518,x12621),x12622)) % 3.71/3.76 [1263]E(f425(f461(a516,x12631),f425(f397(a539,x12632),f425(f461(a516,x12631),a10))),f425(f461(a516,x12631),x12632)) % 3.71/3.76 [1264]E(f402(f441(a517,x12641),f402(f368(a536,x12642),f402(f441(a517,x12641),a3))),f402(f441(a517,x12641),x12642)) % 3.71/3.76 [1274]P5(f420(a357,f85(f23(a325,x12741),f460(f17(a549),x12742)))) % 3.71/3.76 [1276]E(f76(f78(f36(a326,f370(f19(a324),x12761)),f401(f49(a530),x12762))),f401(f369(a518,x12761),x12762)) % 3.71/3.76 [1278]E(f92(f79(f45(a326,f477(f50(a332),x12781)),f426(f51(a526),x12782))),f426(f478(a529,x12781),x12782)) % 3.71/3.76 [1290]P5(f458(f460(a550,f362(f464(a540,x12901),x12902)),x12901)) % 3.71/3.76 [1291]P5(f364(f392(a552,f401(f396(a535,x12911),x12912)),x12911)) % 3.71/3.76 [1292]P5(f394(f413(a553,f402(f368(a536,x12921),x12922)),x12921)) % 3.71/3.76 [1293]P5(f420(f376(a554,f425(f397(a539,x12931),x12932)),x12931)) % 3.71/3.76 [1294]P5(f458(f460(a549,x12941),f362(a571,f362(f464(a567,x12942),x12941)))) % 3.71/3.76 [1295]P5(f458(f460(a549,x12951),f362(a571,f362(f464(a567,x12951),x12952)))) % 3.71/3.76 [1357]~P5(f458(f460(a549,f362(f464(a567,x13571),x13572)),x13572)) % 3.71/3.76 [1358]~P5(f458(f460(a549,f362(f464(a567,x13581),x13582)),x13581)) % 3.71/3.76 [1259]E(f85(f23(a331,f47(a320,f460(f17(a322),x12591))),x12592),f425(f461(a516,x12591),x12592)) % 3.71/3.76 [1260]E(f84(f31(a331,f46(a320,f443(f18(a323),x12601))),x12602),f402(f441(a517,x12601),x12602)) % 3.71/3.76 [1297]E(f76(f78(f36(a325,f401(f49(a530),x12971)),f20(a320,f401(f49(a530),x12972)))),f401(f396(a535,x12971),x12972)) % 3.71/3.76 [1298]E(f92(f79(f45(a325,f426(f51(a526),x12981)),f25(a320,f426(f51(a526),x12982)))),f426(f386(a538,x12981),x12982)) % 3.71/3.76 [1303]E(f76(f78(f36(a331,f20(a320,f370(f19(a324),x13031))),x13032)),f401(f369(a518,x13031),f76(x13032))) % 3.71/3.76 [1131]E(f362(f542(x11311,x11312),f362(a571,x11313)),f362(x11312,x11313)) % 3.71/3.76 [1132]E(f377(x11321,f371(x11322,x11323)),f371(f20(x11321,x11322),x11323)) % 3.71/3.76 [1133]E(f371(f21(x11331,x11332),x11333),f364(x11331,f370(x11332,x11333))) % 3.71/3.76 [1134]E(f474(f25(x11341,x11342),x11343),f377(x11341,f474(x11342,x11343))) % 3.71/3.76 [1135]E(f472(f26(x11351,x11352),x11353),f370(x11351,f475(x11352,x11353))) % 3.71/3.76 [1136]E(f377(x11361,f449(x11362,x11363)),f449(f46(x11361,x11362),x11363)) % 3.71/3.76 [1137]E(f394(x11371,f443(x11372,x11373)),f449(f27(x11371,x11372),x11373)) % 3.71/3.76 [1138]E(f370(x11381,f450(x11382,x11383)),f438(f32(x11381,x11382),x11383)) % 3.71/3.76 [1139]E(f392(x11391,f438(x11392,x11393)),f448(f33(x11391,x11392),x11393)) % 3.71/3.76 [1140]E(f419(x11401,f439(x11402,x11403)),f440(f40(x11401,x11402),x11403)) % 3.71/3.76 [1141]E(f377(x11411,f458(x11412,x11413)),f458(f47(x11411,x11412),x11413)) % 3.71/3.76 [1142]E(f420(x11421,f460(x11422,x11423)),f458(f43(x11421,x11422),x11423)) % 3.71/3.76 [1143]E(f458(f48(x11431,x11432),x11433),f449(x11431,f363(x11432,x11433))) % 3.71/3.76 [1144]E(f392(x11441,f451(x11442,x11443)),f456(f28(x11441,x11442),x11443)) % 3.71/3.76 [1145]E(f419(x11451,f452(x11452,x11453)),f459(f34(x11451,x11452),x11453)) % 3.71/3.76 [1146]E(f460(f44(x11461,x11462),x11463),f460(x11461,f362(x11462,x11463))) % 3.71/3.76 [1147]E(f462(f35(x11471,x11472),x11473),f376(x11471,f460(x11472,x11473))) % 3.71/3.76 [1148]E(f462(f22(x11481,x11482),x11483),f462(x11481,f362(x11482,x11483))) % 3.71/3.76 [1149]E(f445(f29(x11491,x11492),x11493),f413(x11491,f443(x11492,x11493))) % 3.71/3.76 [1150]E(f457(f30(x11501,x11502),x11503),f443(x11501,f363(x11502,x11503))) % 3.71/3.76 [1151]E(f378(x11511,f371(x11512,x11513)),f379(f36(x11511,x11512),x11513)) % 3.71/3.76 [1152]E(f446(f31(x11521,x11522),x11523),f378(x11521,f449(x11522,x11523))) % 3.71/3.76 [1153]E(f455(f23(x11531,x11532),x11533),f378(x11531,f458(x11532,x11533))) % 3.71/3.76 [1154]E(f476(f45(x11541,x11542),x11543),f378(x11541,f474(x11542,x11543))) % 3.71/3.76 [1155]E(f403(f39(x11551,x11552),x11553),f378(x11551,f364(x11552,x11553))) % 3.71/3.76 [1156]E(f444(f41(x11561,x11562),x11563),f376(x11561,f447(x11562,x11563))) % 3.71/3.76 [1157]E(f463(f24(x11571,x11572),x11573),f413(x11571,f457(x11572,x11573))) % 3.71/3.76 [1158]E(f398(f37(x11581,x11582),x11583),f378(x11581,f394(x11582,x11583))) % 3.71/3.76 [1159]E(f399(f42(x11591,x11592),x11593),f378(x11591,f420(x11592,x11593))) % 3.71/3.76 [1160]E(f384(f38(x11601,x11602),x11603),f378(x11601,f365(x11602,x11603))) % 3.71/3.76 [1195]E(f377(f379(x11951,x11952),f371(x11953,x11952)),f371(f78(x11951,x11953),x11952)) % 3.71/3.76 [1196]E(f377(f476(x11961,x11962),f474(x11963,x11962)),f474(f79(x11961,x11963),x11962)) % 3.71/3.76 [1197]E(f377(f446(x11971,x11972),f449(x11973,x11972)),f449(f84(x11971,x11973),x11972)) % 3.71/3.76 [1198]E(f377(f455(x11981,x11982),f458(x11983,x11982)),f458(f85(x11981,x11983),x11982)) % 3.71/3.76 [1199]E(f377(f403(x11991,x11992),f364(x11993,x11992)),f364(f80(x11991,x11993),x11992)) % 3.71/3.76 [1200]E(f377(f384(x12001,x12002),f365(x12003,x12002)),f365(f81(x12001,x12003),x12002)) % 3.71/3.76 [1201]E(f377(f398(x12011,x12012),f394(x12013,x12012)),f394(f82(x12011,x12013),x12012)) % 3.71/3.76 [1202]E(f377(f399(x12021,x12022),f420(x12023,x12022)),f420(f83(x12021,x12023),x12022)) % 3.71/3.76 [1166]E(f371(f370(f19(x11661),x11662),x11663),f371(f370(x11661,x11663),x11662)) % 3.71/3.76 [1167]E(f371(f401(f49(x11671),x11672),x11673),f364(f372(x11671,x11673),x11672)) % 3.71/3.76 [1168]E(f370(f381(f53(x11681),x11682),x11683),f401(f369(x11681,x11683),x11682)) % 3.71/3.76 [1169]E(f474(f373(f73(x11691),x11692),x11693),f371(f472(x11691,x11693),x11692)) % 3.71/3.76 [1170]E(f474(f477(f50(x11701),x11702),x11703),f474(f477(x11701,x11703),x11702)) % 3.71/3.76 [1171]E(f474(f426(f51(x11711),x11712),x11713),f365(f471(x11711,x11713),x11712)) % 3.71/3.76 [1172]E(f449(f402(f66(x11721),x11722),x11723),f394(f445(x11721,x11723),x11722)) % 3.71/3.76 [1173]E(f449(f443(f18(x11731),x11732),x11733),f449(f443(x11731,x11733),x11732)) % 3.71/3.76 [1174]E(f449(f380(f71(x11741),x11742),x11743),f371(f438(x11741,x11743),x11742)) % 3.71/3.76 [1175]E(f449(f404(f54(x11751),x11752),x11753),f420(f444(x11751,x11753),x11752)) % 3.71/3.76 [1176]E(f449(f421(f60(x11761),x11762),x11763),f365(f440(x11761,x11763),x11762)) % 3.71/3.76 [1177]E(f449(f405(f55(x11771),x11772),x11773),f364(f448(x11771,x11773),x11772)) % 3.71/3.76 [1178]E(f458(f425(f61(x11781),x11782),x11783),f420(f462(x11781,x11783),x11782)) % 3.71/3.76 [1179]E(f458(f460(f17(x11791),x11792),x11793),f458(f460(x11791,x11793),x11792)) % 3.71/3.76 [1180]E(f458(f414(f67(x11801),x11802),x11803),f394(f463(x11801,x11803),x11802)) % 3.71/3.76 [1181]E(f458(f382(f63(x11811),x11812),x11813),f365(f459(x11811,x11813),x11812)) % 3.71/3.76 [1182]E(f458(f415(f62(x11821),x11822),x11823),f364(f456(x11821,x11823),x11822)) % 3.71/3.76 [1183]E(f458(f447(f72(x11831),x11832),x11833),f449(f457(x11831,x11833),x11832)) % 3.71/3.76 [1184]E(f364(f392(f56(x11841),x11842),x11843),f364(f392(x11841,x11843),x11842)) % 3.71/3.76 [1185]E(f365(f419(f52(x11851),x11852),x11853),f365(f419(x11851,x11853),x11852)) % 3.71/3.76 [1186]E(f394(f413(f68(x11861),x11862),x11863),f394(f413(x11861,x11863),x11862)) % 3.71/3.76 [1187]E(f420(f376(f57(x11871),x11872),x11873),f420(f376(x11871,x11873),x11872)) % 3.71/3.76 [1188]E(f427(f385(f64(x11881),x11882),x11883),f427(f385(x11881,x11883),x11882)) % 3.71/3.76 [1189]E(f406(f422(f70(x11891),x11892),x11893),f406(f422(x11891,x11893),x11892)) % 3.71/3.76 [1190]E(f395(f418(f65(x11901),x11902),x11903),f395(f418(x11901,x11903),x11902)) % 3.71/3.76 [1191]E(f366(f400(f69(x11911),x11912),x11913),f366(f400(x11911,x11913),x11912)) % 3.71/3.76 [1192]E(f460(f390(f59(x11921),x11922),x11923),f425(f461(x11921,x11923),x11922)) % 3.71/3.76 [1193]E(f443(f383(f58(x11931),x11932),x11933),f402(f441(x11931,x11933),x11932)) % 3.71/3.76 [1241]E(f401(f369(a518,f475(x12411,x12412)),f514(x12411,x12413)),f514(x12411,f426(f478(a529,x12412),x12413))) % 3.71/3.76 [1242]E(f402(f441(a517,f363(x12421,x12422)),f361(x12421,x12423)),f361(x12421,f425(f461(a516,x12422),x12423))) % 3.71/3.76 [1243]E(f401(f369(a518,x12431),f401(f369(a518,x12432),x12433)),f401(f369(a518,x12432),f401(f369(a518,x12431),x12433))) % 3.71/3.76 [1244]E(f362(f464(a567,x12441),f362(f464(a567,x12442),x12443)),f362(f464(a567,x12442),f362(f464(a567,x12441),x12443))) % 3.71/3.76 [1245]E(f454(f453(a568,x12451),f454(f453(a568,x12452),x12453)),f454(f453(a568,x12452),f454(f453(a568,x12451),x12453))) % 3.71/3.76 [1272]E(f362(f464(a540,f362(f464(a567,x12721),x12722)),f362(f464(a567,x12723),x12722)),f362(f464(a540,x12721),x12723)) % 3.71/3.76 [1273]E(f362(f464(a540,f362(f464(a567,x12731),x12732)),f362(f464(a567,x12731),x12733)),f362(f464(a540,x12732),x12733)) % 3.71/3.76 [1282]E(f401(f396(a535,f401(f396(a535,x12821),x12822)),f401(f369(a518,x12823),a4)),f401(f396(a535,x12821),f401(f369(a518,x12823),x12822))) % 3.71/3.76 [1283]E(f425(f397(a539,f425(f397(a539,x12831),x12832)),f425(f461(a516,x12833),a10)),f425(f397(a539,x12831),f425(f461(a516,x12833),x12832))) % 3.71/3.76 [1284]E(f402(f368(a536,f402(f368(a536,x12841),x12842)),f402(f441(a517,x12843),a3)),f402(f368(a536,x12841),f402(f441(a517,x12843),x12842))) % 3.71/3.76 [1286]E(f362(f464(a540,f362(f464(a572,x12861),x12862)),f362(f464(a572,x12861),x12863)),f362(f464(a572,x12861),f362(f464(a540,x12862),x12863))) % 3.71/3.76 [1287]E(f362(f464(a567,f362(f464(a572,x12871),x12872)),f362(f464(a572,x12871),x12873)),f362(f464(a572,x12871),f362(f464(a567,x12872),x12873))) % 3.71/3.76 [1288]E(f454(f453(a541,f454(f453(a573,x12881),x12882)),f454(f453(a573,x12881),x12883)),f454(f453(a573,x12881),f454(f453(a541,x12882),x12883))) % 3.71/3.76 [1289]E(f454(f453(a568,f454(f453(a573,x12891),x12892)),f454(f453(a573,x12891),x12893)),f454(f453(a573,x12891),f454(f453(a568,x12892),x12893))) % 3.71/3.76 [1265]E(f362(f464(a540,f362(f464(a540,x12651),x12652)),x12653),f362(f464(a540,x12651),f362(f464(a567,x12652),x12653))) % 3.71/3.76 [1267]E(f362(f464(a567,f362(f464(a567,x12671),x12672)),x12673),f362(f464(a567,x12671),f362(f464(a567,x12672),x12673))) % 3.71/3.76 [1268]E(f362(f464(a572,f362(f464(a572,x12681),x12682)),x12683),f362(f464(a572,x12681),f362(f464(a572,x12682),x12683))) % 3.71/3.76 [1270]E(f454(f453(a568,f454(f453(a568,x12701),x12702)),x12703),f454(f453(a568,x12701),f454(f453(a568,x12702),x12703))) % 3.71/3.76 [1271]E(f454(f453(a573,f454(f453(a573,x12711),x12712)),x12713),f454(f453(a573,x12711),f454(f453(a573,x12712),x12713))) % 3.71/3.76 [1285]E(f362(f464(a540,f362(f464(a540,x12851),x12852)),x12853),f362(f464(a540,f362(f464(a540,x12851),x12853)),x12852)) % 3.71/3.76 [1299]E(f362(f464(a540,f362(f464(a572,x12991),x12992)),f362(f464(a572,x12993),x12992)),f362(f464(a572,f362(f464(a540,x12991),x12993)),x12992)) % 3.71/3.76 [1300]E(f362(f464(a567,f362(f464(a572,x13001),x13002)),f362(f464(a572,x13003),x13002)),f362(f464(a572,f362(f464(a567,x13001),x13003)),x13002)) % 3.71/3.76 [1301]E(f454(f453(a541,f454(f453(a573,x13011),x13012)),f454(f453(a573,x13013),x13012)),f454(f453(a573,f454(f453(a541,x13011),x13013)),x13012)) % 3.71/3.76 [1302]E(f454(f453(a568,f454(f453(a573,x13021),x13022)),f454(f453(a573,x13023),x13022)),f454(f453(a573,f454(f453(a568,x13021),x13023)),x13022)) % 3.71/3.76 [1308]E(f362(f464(a540,f362(f464(a540,f362(a571,x13081)),x13082)),f362(a571,x13083)),f362(f464(a540,f362(f464(a540,x13081),x13082)),x13083)) % 3.71/3.76 [1311]P5(f364(f392(a552,f401(f396(a535,f514(x13111,x13112)),f514(x13111,x13113))),f514(x13111,f426(f386(a538,x13112),x13113)))) % 3.71/3.76 [1312]P5(f394(f413(a553,f402(f368(a536,f361(x13121,x13122)),f361(x13121,x13123))),f361(x13121,f425(f397(a539,x13122),x13123)))) % 3.71/3.76 [1305]E(f401(f396(a535,f401(f396(a535,x13051),f401(f369(a518,x13052),a4))),x13053),f401(f396(a535,x13051),f401(f369(a518,x13052),x13053))) % 3.71/3.76 [1306]E(f425(f397(a539,f425(f397(a539,x13061),f425(f461(a516,x13062),a10))),x13063),f425(f397(a539,x13061),f425(f461(a516,x13062),x13063))) % 3.71/3.76 [1307]E(f402(f368(a536,f402(f368(a536,x13071),f402(f441(a517,x13072),a3))),x13073),f402(f368(a536,x13071),f402(f441(a517,x13072),x13073))) % 3.71/3.76 [1309]E(f454(f453(a568,f363(a570,x13091)),f454(f453(a568,f363(a570,x13092)),x13093)),f454(f453(a568,f363(a570,f362(f464(a567,x13091),x13092))),x13093)) % 3.71/3.76 [1310]E(f362(f464(a567,f362(f464(a572,x13101),x13102)),f362(f464(a567,f362(f464(a572,x13103),x13102)),x13104)),f362(f464(a567,f362(f464(a572,f362(f464(a567,x13101),x13103)),x13102)),x13104)) % 3.71/3.76 [1362]P4(f223(x13621))+E(f76(x13621),a4) % 3.71/3.76 [1363]P4(f224(x13631))+E(f76(x13631),a4) % 3.71/3.76 [1364]~E(x13641,a1)+E(f363(a570,x13641),a11) % 3.71/3.76 [1367]~P3(x13671)+P1(f15(x13671)) % 3.71/3.76 [1368]~P1(x13681)+P1(f76(x13681)) % 3.71/3.76 [1369]~P7(x13691)+P7(f92(x13691)) % 3.71/3.76 [1370]~P2(x13701)+P2(f93(x13701)) % 3.71/3.76 [1371]~P1(x13711)+P2(f564(x13711)) % 3.71/3.76 [1372]~P6(x13721)+P6(f86(x13721)) % 3.71/3.76 [1383]E(x13831,a1)+~E(f363(a570,x13831),a11) % 3.71/3.76 [1393]~E(x13931,a3)+P5(f394(a356,x13931)) % 3.71/3.76 [1394]~E(x13941,a10)+P5(f420(a357,x13941)) % 3.71/3.76 [1398]P5(x13981)+P5(f377(a320,x13981)) % 3.71/3.76 [1400]~P5(a9)+P5(f371(a4,x14001)) % 3.71/3.76 [1402]~P5(a9)+P5(f449(a3,x14021)) % 3.71/3.76 [1404]~P5(a9)+P5(f458(a10,x14041)) % 3.71/3.76 [1468]P5(a9)+~P5(f371(a4,x14681)) % 3.71/3.76 [1470]P5(a9)+~P5(f449(a3,x14701)) % 3.71/3.76 [1472]P5(a9)+~P5(f458(a10,x14721)) % 3.71/3.76 [1476]E(f316(x14761),a1)+~P5(f449(a546,x14761)) % 3.71/3.76 [1481]~P5(x14811)+~P5(f377(a320,x14811)) % 3.71/3.76 [1381]E(x13811,a1)+E(f362(a571,f142(x13811)),x13811) % 3.71/3.76 [1382]E(x13821,a1)+E(f362(a571,f188(x13821)),x13821) % 3.71/3.76 [1458]~P1(x14581)+E(f401(f396(a535,x14581),a4),x14581) % 3.71/3.76 [1459]E(x14591,a3)+P5(f449(x14591,f225(x14591))) % 3.71/3.76 [1460]E(x14601,a10)+P5(f458(x14601,f304(x14601))) % 3.71/3.76 [1461]E(a3,x14611)+P5(f449(x14611,f305(x14611))) % 3.71/3.76 [1462]E(a10,x14621)+P5(f458(x14621,f307(x14621))) % 3.71/3.76 [1473]E(f76(x14731),a4)+P5(f371(x14731,f223(x14731))) % 3.71/3.76 [1474]E(f76(x14741),a4)+P5(f371(x14741,f224(x14741))) % 3.71/3.76 [1475]E(f363(a570,f316(x14751)),x14751)+P5(f449(a546,x14751)) % 3.71/3.76 [1483]E(x14831,a3)+E(f402(f441(a517,f137(x14831)),f138(x14831)),x14831) % 3.71/3.76 [1484]E(x14841,a10)+E(f425(f461(a516,f139(x14841)),f140(x14841)),x14841) % 3.71/3.76 [1493]~P5(f449(a546,x14931))+E(f362(a571,f316(x14931)),a547) % 3.71/3.76 [1494]~P5(f449(a546,x14941))+E(f363(a570,f316(x14941)),a11) % 3.71/3.76 [1511]E(x15111,a1)+P5(f458(f460(a549,a1),x15111)) % 3.71/3.76 [1589]P5(f449(a546,x15891))+P5(f449(f443(a551,a11),x15891)) % 3.71/3.76 [1616]~P5(f449(a546,x16161))+P5(f449(f443(a563,x16161),a11)) % 3.71/3.76 [1619]E(x16191,a3)+~P5(f394(f413(a553,x16191),a3)) % 3.71/3.76 [1622]E(x16221,a10)+~P5(f420(f376(a554,x16221),a10)) % 3.71/3.76 [1624]E(x16241,a2)+~P5(f458(f460(a550,x16241),a2)) % 3.71/3.76 [1625]E(x16251,a1)+~P5(f458(f460(a550,x16251),a1)) % 3.71/3.76 [1711]E(f362(a571,f143(x17111)),x17111)+~P5(f458(f460(a549,a1),x17111)) % 3.71/3.76 [1712]E(f362(a571,f180(x17121)),x17121)+~P5(f458(f460(a549,a1),x17121)) % 3.71/3.76 [1713]E(f363(a570,f190(x17131)),x17131)+~P5(f449(f443(a563,a11),x17131)) % 3.71/3.76 [1714]E(f363(a570,f219(x17141)),x17141)+~P5(f449(f443(a551,a11),x17141)) % 3.71/3.76 [1715]E(f363(a570,f220(x17151)),x17151)+~P5(f449(f443(a551,a11),x17151)) % 3.71/3.76 [1716]E(f363(a570,f221(x17161)),x17161)+~P5(f449(f443(a551,a11),x17161)) % 3.71/3.76 [1741]P5(f420(a357,x17411))+~P5(f394(a356,f361(a570,x17411))) % 3.71/3.76 [1742]P5(f449(a546,x17421))+~P5(f449(f443(a563,x17421),a11)) % 3.71/3.76 [1771]~P5(f449(a546,x17711))+~P5(f449(f443(a551,a11),x17711)) % 3.71/3.76 [1776]E(f362(f464(a567,a547),f316(x17761)),a547)+~P5(f449(f443(a563,x17761),a12)) % 3.71/3.76 [1804]E(x18041,a3)+~P5(f394(f445(a528,f137(x18041)),f138(x18041))) % 3.71/3.76 [1805]E(x18051,a10)+~P5(f420(f462(a527,f139(x18051)),f140(x18051))) % 3.71/3.76 [1806]~P5(f449(f443(a563,a11),x18061))+P5(f449(f443(a551,a548),x18061)) % 3.71/3.76 [1807]P5(f449(f443(a563,a11),x18071))+~P5(f449(f443(a551,a548),x18071)) % 3.71/3.76 [1809]E(x18091,a1)+~P5(f458(f460(a549,x18091),f362(a571,a1))) % 3.71/3.76 [1840]P5(f458(f460(a549,a1),f190(x18401)))+~P5(f449(f443(a563,a11),x18401)) % 3.71/3.76 [1923]~P5(f458(f460(a549,a1),x19231))+P5(f449(f443(a563,a11),f363(a570,x19231))) % 3.71/3.76 [1998]P5(f458(f460(a549,a1),x19981))+~P5(f449(f443(a563,a11),f363(a570,x19981))) % 3.71/3.76 [1580]~P4(x15801)+E(f437(a577,f401(f369(a518,x15801),a4)),x15801) % 3.71/3.76 [1592]~E(x15921,a11)+P5(f449(f443(a563,f6(x15921)),a548)) % 3.71/3.76 [1595]E(x15951,a3)+P5(f394(f445(a528,f309(x15951)),x15951)) % 3.71/3.76 [1596]E(x15961,a3)+P5(f394(f445(a528,f313(x15961)),x15961)) % 3.71/3.76 [1597]E(x15971,a10)+P5(f420(f462(a527,f310(x15971)),x15971)) % 3.71/3.76 [1598]E(x15981,a10)+P5(f420(f462(a527,f314(x15981)),x15981)) % 3.71/3.76 [1639]P5(f449(a546,x16391))+E(f316(f454(f453(a568,x16391),a548)),f362(a571,f316(x16391))) % 3.71/3.76 [1775]E(x17751,a11)+~P5(f449(f443(a563,f6(x17751)),a548)) % 3.71/3.76 [1786]~P5(f365(f471(a526,x17861),a565))+P5(f588(f578(f8(x17861)))) % 3.71/3.76 [1794]~E(x17941,a1)+P5(f449(f443(a551,f363(a570,x17941)),a11)) % 3.71/3.76 [1816]E(f316(f454(f453(a568,x18161),a548)),f362(f464(a567,a547),f316(x18161)))+P5(f449(f443(a563,x18161),a12)) % 3.71/3.76 [1839]E(f362(a571,f362(f464(a540,x18391),a547)),x18391)+~P5(f458(f460(a549,a1),x18391)) % 3.71/3.76 [1933]E(f362(a571,f362(f464(a540,x19331),f362(a571,a1))),x19331)+~P5(f458(f460(a549,a1),x19331)) % 3.71/3.76 [2027]E(x20271,a1)+~P5(f449(f443(a551,f363(a570,x20271)),a11)) % 3.71/3.76 [2119]~P5(f449(f443(a551,a11),x21191))+P5(f449(f443(a563,a11),f454(f453(a568,a548),x21191))) % 3.71/3.76 [1879]~P5(f364(a318,x18791))+P5(f427(a344,f93(f392(f56(a552),x18791)))) % 3.71/3.76 [1880]~P5(f365(a355,x18801))+P5(f406(a349,f86(f419(f52(a557),x18801)))) % 3.71/3.76 [1881]~P5(f394(a356,x18811))+P5(f395(a335,f94(f413(f68(a553),x18811)))) % 3.71/3.76 [1882]~P5(f420(a357,x18821))+P5(f366(a345,f95(f376(f57(a554),x18821)))) % 3.71/3.76 [1883]~P5(f427(a344,x18831))+P5(f411(a336,f90(f385(f64(a555),x18831)))) % 3.71/3.76 [1884]~P5(f406(a349,x18841))+P5(f417(a350,f87(f422(f70(a560),x18841)))) % 3.71/3.76 [1885]~P5(f395(a335,x18851))+P5(f367(a347,f88(f418(f65(a558),x18851)))) % 3.71/3.76 [1886]~P5(f366(a345,x18861))+P5(f424(a341,f89(f400(f69(a556),x18861)))) % 3.71/3.76 [2403]~P5(f449(a546,x24031))+E(f316(f454(f453(a568,f454(f453(a568,a548),x24031)),x24031)),a1) % 3.71/3.76 [2594]P5(f449(a546,x25941))+E(f316(f454(f453(a568,f454(f453(a568,a548),x25941)),x25941)),f362(a571,f362(f464(a567,f316(x25941)),f316(x25941)))) % 3.71/3.76 [2774]~P5(f449(a546,x27741))+P5(f449(a546,f454(f453(a568,f454(f453(a568,a548),x27741)),x27741))) % 3.71/3.76 [2862]~P5(f449(f443(a551,a12),x28621))+P5(f449(f443(a551,a12),f454(f453(a568,f454(f453(a568,a548),x28621)),x28621))) % 3.71/3.76 [2863]~P5(f449(f443(a551,a12),x28631))+P5(f449(f443(a563,a12),f454(f453(a568,f454(f453(a568,a548),x28631)),x28631))) % 3.71/3.76 [2917]P5(f449(a546,x29171))+~P5(f449(a546,f454(f453(a568,f454(f453(a568,a548),x29171)),x29171))) % 3.71/3.76 [2922]P5(f449(f443(a551,a12),x29221))+~P5(f449(f443(a551,a12),f454(f453(a568,f454(f453(a568,a548),x29221)),x29221))) % 3.71/3.76 [2923]P5(f449(f443(a551,a12),x29231))+~P5(f449(f443(a563,a12),f454(f453(a568,f454(f453(a568,a548),x29231)),x29231))) % 3.71/3.76 [2946]~P5(f449(f443(a563,x29461),a12))+P5(f449(f443(a551,f454(f453(a568,f454(f453(a568,a548),x29461)),x29461)),a12)) % 3.71/3.76 [2947]~P5(f449(f443(a563,x29471),a11))+P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29471)),x29471)),a11)) % 3.71/3.76 [2948]~P5(f449(f443(a563,x29481),a12))+P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29481)),x29481)),a12)) % 3.71/3.76 [2992]P5(f449(f443(a563,x29921),a11))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29921)),x29921)),a11)) % 3.71/3.76 [2993]P5(f449(f443(a563,x29931),a12))+~P5(f449(f443(a551,f454(f453(a568,f454(f453(a568,a548),x29931)),x29931)),a12)) % 3.71/3.76 [2994]P5(f449(f443(a563,x29941),a12))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29941)),x29941)),a12)) % 3.71/3.76 [1366]~E(x13662,a10)+E(f361(x13661,x13662),a3) % 3.71/3.76 [1388]E(x13881,a10)+~E(f361(x13882,x13881),a3) % 3.71/3.76 [1407]~P1(x14072)+P1(f20(x14071,x14072)) % 3.71/3.76 [1408]~P2(x14081)+P1(f21(x14081,x14082)) % 3.71/3.76 [1409]~P1(x14092)+P1(f78(x14091,x14092)) % 3.71/3.76 [1410]~P1(x14102)+P1(f496(x14101,x14102)) % 3.71/3.76 [1411]~P7(x14112)+P1(f514(x14111,x14112)) % 3.71/3.76 [1412]~P2(x14122)+P1(f500(x14121,x14122)) % 3.71/3.76 [1413]~P6(x14132)+P1(f497(x14131,x14132)) % 3.71/3.76 [1414]~P4(x14142)+P1(f370(x14141,x14142)) % 3.71/3.76 [1415]~P8(x14152)+P1(f472(x14151,x14152)) % 3.71/3.76 [1416]~P1(x14162)+P1(f401(x14161,x14162)) % 3.71/3.76 [1417]~P7(x14172)+P7(f25(x14171,x14172)) % 3.71/3.76 [1418]~P7(x14182)+P7(f79(x14181,x14182)) % 3.71/3.76 [1419]~P1(x14192)+P7(f501(x14191,x14192)) % 3.71/3.76 [1420]~P7(x14202)+P7(f519(x14201,x14202)) % 3.71/3.76 [1421]~P2(x14212)+P7(f487(x14211,x14212)) % 3.71/3.76 [1422]~P6(x14222)+P7(f480(x14221,x14222)) % 3.71/3.76 [1423]~P4(x14232)+P7(f373(x14231,x14232)) % 3.71/3.76 [1424]~P8(x14242)+P7(f477(x14241,x14242)) % 3.71/3.76 [1425]~P7(x14252)+P7(f426(x14251,x14252)) % 3.71/3.76 [1426]~P2(x14262)+P2(f80(x14261,x14262)) % 3.71/3.76 [1427]~P1(x14272)+P2(f502(x14271,x14272)) % 3.71/3.76 [1428]~P7(x14282)+P2(f481(x14281,x14282)) % 3.71/3.76 [1429]~P4(x14292)+P2(f372(x14291,x14292)) % 3.71/3.76 [1430]~P1(x14302)+P2(f392(x14301,x14302)) % 3.71/3.76 [1431]~P2(x14312)+P2(f410(x14311,x14312)) % 3.71/3.76 [1432]~P3(x14322)+P3(f377(x14321,x14322)) % 3.71/3.76 [1433]~P2(x14332)+P3(f427(x14331,x14332)) % 3.71/3.76 [1434]~P6(x14342)+P3(f406(x14341,x14342)) % 3.71/3.76 [1435]~P6(x14352)+P6(f81(x14351,x14352)) % 3.71/3.76 [1436]~P1(x14362)+P6(f498(x14361,x14362)) % 3.71/3.76 [1437]~P7(x14372)+P6(f488(x14371,x14372)) % 3.71/3.76 [1438]~P8(x14382)+P6(f471(x14381,x14382)) % 3.71/3.76 [1439]~P7(x14392)+P6(f419(x14391,x14392)) % 3.71/3.76 [1440]~P6(x14402)+P6(f428(x14401,x14402)) % 3.71/3.76 [1441]~P4(x14412)+P4(f374(x14411,x14412)) % 3.71/3.76 [1442]~P8(x14422)+P4(f475(x14421,x14422)) % 3.71/3.76 [1443]~P1(x14432)+P4(f437(x14431,x14432)) % 3.71/3.76 [1444]~P8(x14442)+P8(f479(x14441,x14442)) % 3.71/3.76 [1445]~P7(x14452)+P8(f387(x14451,x14452)) % 3.71/3.76 [1450]E(x14501,x14502)+~E(f361(a570,x14501),f361(a570,x14502)) % 3.71/3.76 [1452]E(x14521,x14522)+~E(f362(a571,x14521),f362(a571,x14522)) % 3.71/3.76 [1454]E(x14541,x14542)+~E(f363(a570,x14541),f363(a570,x14542)) % 3.71/3.76 [1477]~E(x14771,a3)+~P5(f449(x14771,x14772)) % 3.71/3.76 [1478]~E(x14781,a10)+~P5(f458(x14781,x14782)) % 3.71/3.76 [1479]~E(a3,x14791)+~P5(f449(x14791,x14792)) % 3.71/3.76 [1480]~E(a10,x14801)+~P5(f458(x14801,x14802)) % 3.71/3.76 [1389]~P3(x13891)+E(f371(f15(x13891),x13892),x13891) % 3.71/3.76 [1390]~P4(x13901)+E(f475(f74(x13901),x13902),x13901) % 3.71/3.76 [1391]~P3(x13911)+E(f449(f14(x13911),x13912),x13911) % 3.71/3.76 [1392]~P3(x13921)+E(f458(f75(x13921),x13922),x13921) % 3.71/3.76 [1446]~E(x14462,a1)+E(f362(f464(a572,x14461),x14462),a1) % 3.71/3.76 [1448]~E(x14481,a1)+E(f362(f464(a572,x14481),x14482),a1) % 3.71/3.76 [1449]~E(x14491,a1)+E(f362(f464(a567,x14491),x14492),x14492) % 3.71/3.76 [1482]E(x14821,a10)+E(f361(f77(x14822),x14821),f402(f441(a517,x14822),a3)) % 3.71/3.76 [1487]E(x14871,a547)+~E(f362(f464(a572,x14872),x14871),a547) % 3.71/3.76 [1488]E(x14881,a547)+~E(f362(f464(a572,x14881),x14882),a547) % 3.71/3.76 [1489]E(x14891,a1)+~E(f362(f464(a567,x14892),x14891),a1) % 3.71/3.76 [1490]E(x14901,a1)+~E(f362(f464(a567,x14901),x14902),a1) % 3.71/3.76 [1491]E(x14911,a1)+~E(f362(f464(a567,x14912),x14911),x14912) % 3.71/3.76 [1523]~E(x15231,x15232)+P5(f371(f370(a324,x15231),x15232)) % 3.71/3.76 [1524]~E(x15241,x15242)+P5(f474(f477(a332,x15241),x15242)) % 3.71/3.76 [1527]~E(x15271,x15272)+P5(f449(f443(a551,x15271),x15272)) % 3.71/3.76 [1528]~E(x15281,x15282)+P5(f449(f443(a323,x15281),x15282)) % 3.71/3.76 [1534]~E(x15341,x15342)+P5(f458(f460(a550,x15341),x15342)) % 3.71/3.76 [1535]~E(x15351,x15352)+P5(f458(f460(a322,x15351),x15352)) % 3.71/3.76 [1536]~E(x15362,x15361)+P5(f364(f392(a552,x15361),x15362)) % 3.71/3.76 [1540]~E(x15401,x15402)+P5(f364(f392(a552,x15401),x15402)) % 3.71/3.76 [1541]~E(x15411,x15412)+P5(f364(f392(a328,x15411),x15412)) % 3.71/3.76 [1542]~E(x15421,x15422)+P5(f365(f419(a327,x15421),x15422)) % 3.71/3.76 [1543]~E(x15432,x15431)+P5(f394(f413(a553,x15431),x15432)) % 3.71/3.76 [1551]~E(x15511,x15512)+P5(f394(f413(a553,x15511),x15512)) % 3.71/3.76 [1552]~E(x15521,x15522)+P5(f394(f413(a330,x15521),x15522)) % 3.71/3.76 [1553]~E(x15532,x15531)+P5(f420(f376(a554,x15531),x15532)) % 3.71/3.76 [1561]~E(x15611,x15612)+P5(f420(f376(a554,x15611),x15612)) % 3.71/3.76 [1562]~E(x15621,x15622)+P5(f420(f376(a329,x15621),x15622)) % 3.71/3.76 [1563]P5(x15631)+P5(f377(f378(a331,x15631),x15632)) % 3.71/3.76 [1567]~P5(x15672)+P5(f377(f378(a326,x15671),x15672)) % 3.71/3.76 [1568]~P5(x15681)+P5(f377(f378(a326,x15681),x15682)) % 3.71/3.76 [1569]~P5(x15692)+P5(f377(f378(a331,x15691),x15692)) % 3.71/3.76 [1574]E(x15741,f362(a571,a1))+~E(f362(f464(a572,x15742),x15741),f362(a571,a1)) % 3.71/3.76 [1575]E(x15751,f362(a571,a1))+~E(f362(f464(a572,x15751),x15752),f362(a571,a1)) % 3.71/3.76 [1584]~E(x15841,f362(a571,x15842))+P5(f458(f460(a549,a1),x15841)) % 3.71/3.76 [1599]P4(f226(x15991,x15992))+P5(f364(f392(a552,x15991),x15992)) % 3.71/3.76 [1600]P4(f287(x16001,x16002))+P5(f364(f392(a552,x16002),x16001)) % 3.71/3.76 [1601]P4(f294(x16011,x16012))+P5(f364(f392(a552,x16011),x16012)) % 3.71/3.76 [1602]P8(f295(x16021,x16022))+P5(f365(f419(a557,x16022),x16021)) % 3.71/3.76 [1610]E(f454(f453(a545,x16101),x16102),a11)+P5(f449(f443(a551,x16102),x16101)) % 3.71/3.76 [1613]E(x16131,x16132)+~E(f425(f461(a516,x16131),a10),f425(f461(a516,x16132),a10)) % 3.71/3.76 [1614]E(x16141,x16142)+~E(f402(f441(a517,x16141),a3),f402(f441(a517,x16142),a3)) % 3.71/3.76 [1644]E(x16441,x16442)+~P5(f449(f443(a323,x16441),x16442)) % 3.71/3.76 [1645]E(x16451,x16452)+~P5(f458(f460(a322,x16451),x16452)) % 3.71/3.76 [1646]E(x16461,x16462)+~P5(f394(f413(a330,x16461),x16462)) % 3.71/3.76 [1647]E(x16471,x16472)+~P5(f420(f376(a329,x16471),x16472)) % 3.71/3.76 [1652]~E(x16521,a1)+~P5(f458(f460(a549,x16522),x16521)) % 3.71/3.76 [1653]~E(x16531,a4)+~P5(f364(f372(a530,x16532),x16531)) % 3.71/3.76 [1654]~E(x16541,a5)+~P5(f365(f471(a526,x16542),x16541)) % 3.71/3.76 [1656]~E(x16561,a3)+~P5(f394(f445(a528,x16562),x16561)) % 3.71/3.76 [1658]~E(x16581,a10)+~P5(f420(f462(a527,x16582),x16581)) % 3.71/3.76 [1659]~P5(f365(a355,x16592))+P5(f364(a318,f514(x16591,x16592))) % 3.71/3.76 [1660]~P5(f394(a356,x16602))+P5(f364(a318,f465(x16601,x16602))) % 3.71/3.76 [1661]~P5(f420(a357,x16612))+P5(f364(a318,f510(x16611,x16612))) % 3.71/3.76 [1662]~P5(f364(a318,x16622))+P5(f365(a355,f501(x16621,x16622))) % 3.71/3.76 [1663]~P5(f427(a344,x16632))+P5(f365(a355,f487(x16631,x16632))) % 3.71/3.76 [1664]~P5(f406(a349,x16642))+P5(f365(a355,f480(x16641,x16642))) % 3.71/3.76 [1665]~P5(f395(a335,x16652))+P5(f365(a355,f467(x16651,x16652))) % 3.71/3.76 [1666]~P5(f366(a345,x16662))+P5(f365(a355,f468(x16661,x16662))) % 3.71/3.76 [1667]~P5(f364(a318,x16672))+P5(f394(a356,f503(x16671,x16672))) % 3.71/3.76 [1668]~P5(f395(a335,x16682))+P5(f394(a356,f489(x16681,x16682))) % 3.71/3.76 [1669]~P5(f366(a345,x16692))+P5(f394(a356,f482(x16691,x16692))) % 3.71/3.76 [1670]~P5(f406(a349,x16702))+P5(f394(a356,f490(x16701,x16702))) % 3.71/3.76 [1671]~P5(f427(a344,x16712))+P5(f394(a356,f507(x16711,x16712))) % 3.71/3.76 [1672]~P5(f420(a357,x16722))+P5(f394(a356,f361(x16721,x16722))) % 3.71/3.76 [1673]~P5(f364(a318,x16732))+P5(f420(a357,f506(x16731,x16732))) % 3.71/3.76 [1674]~P5(f395(a335,x16742))+P5(f420(a357,f483(x16741,x16742))) % 3.71/3.76 [1675]~P5(f366(a345,x16752))+P5(f420(a357,f494(x16751,x16752))) % 3.71/3.76 [1676]~P5(f406(a349,x16762))+P5(f420(a357,f484(x16761,x16762))) % 3.71/3.76 [1677]~P5(f427(a344,x16772))+P5(f420(a357,f508(x16771,x16772))) % 3.71/3.76 [1678]~P5(f365(a355,x16782))+P5(f427(a344,f481(x16781,x16782))) % 3.71/3.76 [1679]~P5(f394(a356,x16792))+P5(f427(a344,f512(x16791,x16792))) % 3.71/3.76 [1680]~P5(f420(a357,x16802))+P5(f427(a344,f513(x16801,x16802))) % 3.71/3.76 [1681]~P5(f365(a355,x16812))+P5(f406(a349,f488(x16811,x16812))) % 3.71/3.76 [1682]~P5(f394(a356,x16822))+P5(f406(a349,f495(x16821,x16822))) % 3.71/3.76 [1683]~P5(f420(a357,x16832))+P5(f406(a349,f469(x16831,x16832))) % 3.71/3.76 [1684]~P5(f365(a355,x16842))+P5(f395(a335,f485(x16841,x16842))) % 3.71/3.76 [1685]~P5(f420(a357,x16852))+P5(f395(a335,f486(x16851,x16852))) % 3.71/3.76 [1686]~P5(f394(a356,x16862))+P5(f395(a335,f491(x16861,x16862))) % 3.71/3.76 [1687]~P5(f365(a355,x16872))+P5(f366(a345,f492(x16871,x16872))) % 3.71/3.76 [1688]~P5(f420(a357,x16882))+P5(f366(a345,f493(x16881,x16882))) % 3.71/3.76 [1689]~P5(f394(a356,x16892))+P5(f366(a345,f499(x16891,x16892))) % 3.71/3.76 [1690]~E(x16901,x16902)+~P5(f449(f443(a563,x16901),x16902)) % 3.71/3.76 [1695]~E(x16951,x16952)+~P5(f458(f460(a549,x16951),x16952)) % 3.71/3.76 [1699]~P5(f371(x16992,x16991))+P5(f364(f372(a530,x16991),x16992)) % 3.71/3.76 [1700]~P5(f474(x17002,x17001))+P5(f365(f471(a526,x17001),x17002)) % 3.71/3.76 [1701]~P5(f449(x17012,x17011))+P5(f394(f445(a528,x17011),x17012)) % 3.71/3.76 [1702]~P5(f458(x17022,x17021))+P5(f420(f462(a527,x17021),x17022)) % 3.71/3.76 [1704]P5(x17041)+~P5(f377(f378(a325,x17042),x17041)) % 3.71/3.76 [1705]P5(x17051)+~P5(f377(f378(a325,x17051),x17052)) % 3.71/3.76 [1706]~E(x17061,a1)+P5(f458(f460(a549,x17061),f362(a571,x17062))) % 3.71/3.76 [1707]~E(x17071,x17072)+P5(f458(f460(a549,x17071),f362(a571,x17072))) % 3.71/3.76 [1726]~E(f362(f464(a540,x17261),x17262),a1)+P5(f458(f460(a550,x17261),x17262)) % 3.71/3.76 [1744]~P5(f449(x17441,f191(x17441)))+P5(f449(x17441,f363(a570,x17442))) % 3.71/3.76 [1758]P5(f371(x17581,x17582))+~P5(f364(f372(a530,x17582),x17581)) % 3.71/3.76 [1759]P5(f474(x17591,x17592))+~P5(f365(f471(a526,x17592),x17591)) % 3.71/3.76 [1760]P5(f449(x17601,x17602))+~P5(f394(f445(a528,x17602),x17601)) % 3.71/3.76 [1761]P5(f458(x17611,x17612))+~P5(f420(f462(a527,x17612),x17611)) % 3.71/3.76 [1767]P5(f449(f443(a551,x17672),x17671))+P5(f449(f443(a551,x17671),x17672)) % 3.71/3.76 [1770]P5(f458(f460(a550,x17702),x17701))+P5(f458(f460(a550,x17701),x17702)) % 3.71/3.76 [1779]E(f362(f464(a540,x17791),x17792),a1)+~P5(f458(f460(a550,x17791),x17792)) % 3.71/3.76 [1781]E(f425(f461(a516,x17811),x17812),x17812)+~P5(f420(f462(a527,x17811),x17812)) % 3.71/3.76 [1782]E(f402(f441(a517,x17821),x17822),x17822)+~P5(f394(f445(a528,x17821),x17822)) % 3.71/3.76 [1783]P5(f449(f443(a551,a11),f191(x17831)))+P5(f449(x17831,f363(a570,x17832))) % 3.71/3.76 [1787]P5(f449(x17871,f193(x17871)))+~P5(f449(x17871,f363(a570,x17872))) % 3.71/3.76 [1788]P5(f364(f564(x17881),x17882))+~P5(f364(f392(a552,x17882),x17881)) % 3.71/3.76 [1810]E(f362(f464(a567,x18101),f167(x18101,x18102)),x18102)+~P5(f458(f460(a550,x18101),x18102)) % 3.71/3.76 [1811]E(f362(f464(a567,x18111),f187(x18111,x18112)),x18112)+~P5(f458(f460(a549,x18111),x18112)) % 3.71/3.76 [1842]E(f454(f453(a545,x18421),x18422),f454(f453(a541,x18421),x18422))+~P5(f449(f443(a551,x18422),x18421)) % 3.71/3.76 [1845]~P5(f449(f443(a563,x18451),x18452))+P5(f449(f443(a551,x18451),x18452)) % 3.71/3.76 [1850]~P5(f458(f460(a549,x18501),x18502))+P5(f458(f460(a550,x18501),x18502)) % 3.71/3.76 [1860]P5(f458(f460(a549,x18601),x18602))+P5(f458(f460(a549,x18602),f362(a571,x18601))) % 3.71/3.76 [1874]P5(f449(f443(a551,a11),f193(x18741)))+~P5(f449(x18741,f363(a570,x18742))) % 3.71/3.76 [1957]~P5(f458(f460(a550,x19571),x19572))+P5(f458(f460(a550,x19571),f362(a571,x19572))) % 3.71/3.76 [1959]~P5(f458(f460(a550,x19591),x19592))+P5(f458(f460(a549,x19591),f362(a571,x19592))) % 3.71/3.76 [1961]~P5(f458(f460(a549,x19611),x19612))+P5(f458(f460(a549,x19611),f362(a571,x19612))) % 3.71/3.76 [1962]P5(f458(f460(a549,a1),f187(x19621,x19622)))+~P5(f458(f460(a549,x19621),x19622)) % 3.71/3.76 [2032]P5(f458(f460(a550,x20321),x20322))+~P5(f458(f460(a549,x20321),f362(a571,x20322))) % 3.71/3.76 [2120]~P5(f458(f460(a549,x21201),x21202))+~P5(f458(f460(a549,x21202),f362(a571,x21201))) % 3.71/3.76 [2194]~P5(f458(f460(a550,x21941),x21942))+P5(f449(f443(a551,f363(a570,x21941)),f363(a570,x21942))) % 3.71/3.76 [2196]~P5(f458(f460(a549,x21961),x21962))+P5(f449(f443(a563,f363(a570,x21961)),f363(a570,x21962))) % 3.71/3.76 [2197]~P5(f458(f460(a550,x21971),x21972))+P5(f458(f460(a550,f362(a571,x21971)),f362(a571,x21972))) % 3.71/3.76 [2199]~P5(f458(f460(a549,x21991),x21992))+P5(f458(f460(a549,f362(a571,x21991)),f362(a571,x21992))) % 3.71/3.76 [2201]~P5(f420(f376(a561,x22011),x22012))+P5(f394(f413(a559,f361(a570,x22011)),f361(a570,x22012))) % 3.71/3.76 [2439]P5(f458(f460(a550,x24391),x24392))+~P5(f449(f443(a551,f363(a570,x24391)),f363(a570,x24392))) % 3.71/3.76 [2440]P5(f458(f460(a550,x24401),x24402))+~P5(f458(f460(a550,f362(a571,x24401)),f362(a571,x24402))) % 3.71/3.76 [2442]P5(f458(f460(a549,x24421),x24422))+~P5(f449(f443(a563,f363(a570,x24421)),f363(a570,x24422))) % 3.71/3.76 [2444]P5(f458(f460(a549,x24441),x24442))+~P5(f458(f460(a549,f362(a571,x24441)),f362(a571,x24442))) % 3.71/3.76 [2445]P5(f420(f376(a554,x24451),x24452))+~P5(f394(f413(a553,f361(a570,x24451)),f361(a570,x24452))) % 3.71/3.76 [2446]P5(f420(f376(a561,x24461),x24462))+~P5(f394(f413(a559,f361(a570,x24461)),f361(a570,x24462))) % 3.71/3.76 [2447]P5(f420(f462(a527,x24471),x24472))+~P5(f394(f445(a528,f363(a570,x24471)),f361(a570,x24472))) % 3.71/3.76 [2506]~P5(f364(a318,x25062))+P5(f458(f460(a550,f435(a354,f501(x25061,x25062))),f442(a353,x25062))) % 3.71/3.76 [2507]~P5(f365(a355,x25072))+P5(f458(f460(a550,f435(a354,f519(x25071,x25072))),f435(a354,x25072))) % 3.71/3.76 [2508]~P5(f394(a356,x25082))+P5(f458(f460(a550,f435(a354,f511(x25081,x25082))),f436(a352,x25082))) % 3.71/3.76 [2509]~P5(f420(a357,x25092))+P5(f458(f460(a550,f435(a354,f515(x25091,x25092))),f412(a351,x25092))) % 3.71/3.76 [2510]~P5(f364(a318,x25102))+P5(f458(f460(a550,f442(a353,f496(x25101,x25102))),f442(a353,x25102))) % 3.71/3.76 [2511]~P5(f365(a355,x25112))+P5(f458(f460(a550,f442(a353,f514(x25111,x25112))),f435(a354,x25112))) % 3.71/3.76 [2512]~P5(f427(a344,x25122))+P5(f458(f460(a550,f442(a353,f500(x25121,x25122))),f409(a338,x25122))) % 3.71/3.76 [2513]~P5(f406(a349,x25132))+P5(f458(f460(a550,f442(a353,f497(x25131,x25132))),f429(a337,x25132))) % 3.71/3.76 [2514]~P5(f395(a335,x25142))+P5(f458(f460(a550,f442(a353,f466(x25141,x25142))),f423(a346,x25142))) % 3.71/3.76 [2515]~P5(f366(a345,x25152))+P5(f458(f460(a550,f442(a353,f509(x25151,x25152))),f434(a348,x25152))) % 3.71/3.76 [2516]~P5(f364(a318,x25162))+P5(f458(f460(a550,f412(a351,f506(x25161,x25162))),f442(a353,x25162))) % 3.71/3.76 [2517]~P5(f395(a335,x25172))+P5(f458(f460(a550,f412(a351,f483(x25171,x25172))),f423(a346,x25172))) % 3.71/3.76 [2518]~P5(f366(a345,x25182))+P5(f458(f460(a550,f412(a351,f494(x25181,x25182))),f434(a348,x25182))) % 3.71/3.76 [2519]~P5(f406(a349,x25192))+P5(f458(f460(a550,f412(a351,f484(x25191,x25192))),f429(a337,x25192))) % 3.71/3.76 [2520]~P5(f427(a344,x25202))+P5(f458(f460(a550,f412(a351,f508(x25201,x25202))),f409(a338,x25202))) % 3.71/3.76 [2521]~P5(f365(a355,x25212))+P5(f458(f460(a550,f412(a351,f520(x25211,x25212))),f435(a354,x25212))) % 3.71/3.76 [2522]~P5(f364(a318,x25222))+P5(f458(f460(a550,f436(a352,f503(x25221,x25222))),f442(a353,x25222))) % 3.71/3.76 [2523]~P5(f395(a335,x25232))+P5(f458(f460(a550,f436(a352,f489(x25231,x25232))),f423(a346,x25232))) % 3.71/3.76 [2524]~P5(f366(a345,x25242))+P5(f458(f460(a550,f436(a352,f482(x25241,x25242))),f434(a348,x25242))) % 3.71/3.76 [2525]~P5(f406(a349,x25252))+P5(f458(f460(a550,f436(a352,f490(x25251,x25252))),f429(a337,x25252))) % 3.71/3.76 [2526]~P5(f427(a344,x25262))+P5(f458(f460(a550,f436(a352,f507(x25261,x25262))),f409(a338,x25262))) % 3.71/3.76 [2527]~P5(f420(a357,x25272))+P5(f458(f460(a550,f436(a352,f361(x25271,x25272))),f412(a351,x25272))) % 3.71/3.76 [2528]~P5(f365(a355,x25282))+P5(f458(f460(a550,f436(a352,f521(x25281,x25282))),f435(a354,x25282))) % 3.71/3.76 [2976]~P5(f365(a355,x29761))+P5(f458(f460(a550,f435(a354,f426(f386(a538,x29761),f426(f478(a529,x29762),a5)))),f435(a354,x29761))) % 3.71/3.76 [2977]~P5(f364(a318,x29771))+P5(f458(f460(a550,f442(a353,f401(f396(a535,x29771),f401(f369(a518,x29772),a4)))),f442(a353,x29771))) % 3.71/3.76 [2978]~P5(f420(a357,x29781))+P5(f458(f460(a550,f412(a351,f425(f397(a539,x29781),f425(f461(a516,x29782),a10)))),f412(a351,x29781))) % 3.71/3.76 [2979]~P5(f394(a356,x29791))+P5(f458(f460(a550,f436(a352,f402(f368(a536,x29791),f402(f441(a517,x29792),a3)))),f436(a352,x29791))) % 3.71/3.76 [1611]P5(f458(x16112,x16111))+E(f85(f23(a325,f460(a322,x16111)),x16112),a10) % 3.71/3.76 [1612]P5(f449(x16122,x16121))+E(f84(f31(a325,f443(a323,x16121)),x16122),a3) % 3.71/3.76 [1703]E(f6(x17031),a548)+~E(f6(f454(f453(a573,x17031),x17032)),a548) % 3.71/3.76 [1791]~P5(f458(x17912,x17911))+E(f85(f23(a325,f460(a322,x17911)),x17912),f425(f461(a516,x17911),a10)) % 3.71/3.76 [1792]~P5(f449(x17922,x17921))+E(f84(f31(a325,f443(a323,x17921)),x17922),f402(f441(a517,x17921),a3)) % 3.71/3.76 [1815]E(f362(f464(a567,x18151),f362(f464(a540,x18152),x18151)),x18152)+P5(f458(f460(a549,x18152),x18151)) % 3.71/3.76 [1875]P5(f420(a357,x18751))+P5(f420(f462(a527,f168(x18752,x18751)),x18751)) % 3.71/3.76 [1876]P5(f420(a357,x18761))+P5(f420(f462(a527,f301(x18761,x18762)),x18761)) % 3.71/3.76 [1877]P5(f420(a357,x18771))+P5(f420(f462(a527,f169(x18771,x18772)),x18771)) % 3.71/3.76 [1888]~P5(f364(a318,x18882))+P5(f364(a318,f401(f369(a518,x18881),x18882))) % 3.71/3.76 [1890]~P5(f365(a355,x18902))+P5(f365(a355,f426(f478(a529,x18901),x18902))) % 3.71/3.76 [1891]~P5(f365(a355,x18911))+P5(f365(a355,f426(f386(a538,x18911),x18912))) % 3.71/3.76 [1893]~P5(f394(a356,x18932))+P5(f394(a356,f402(f441(a517,x18931),x18932))) % 3.71/3.76 [1894]~P5(f394(a356,x18941))+P5(f394(a356,f402(f368(a536,x18941),x18942))) % 3.71/3.76 [1895]~P5(f394(a356,x18952))+P5(f394(a356,f84(f31(a325,x18951),x18952))) % 3.71/3.76 [1896]~P5(f394(a356,x18961))+P5(f394(a356,f84(f31(a325,x18961),x18962))) % 3.71/3.76 [1898]~P5(f420(a357,x18982))+P5(f420(a357,f425(f461(a516,x18981),x18982))) % 3.71/3.76 [1899]~P5(f420(a357,x18991))+P5(f420(a357,f425(f397(a539,x18991),x18992))) % 3.71/3.76 [1900]~P5(f420(a357,x19002))+P5(f420(a357,f85(f23(a325,x19001),x19002))) % 3.71/3.76 [1901]~P5(f420(a357,x19011))+P5(f420(a357,f85(f23(a325,x19011),x19012))) % 3.71/3.76 [1903]~P5(f427(a344,x19032))+P5(f427(a344,f410(f391(a523,x19031),x19032))) % 3.71/3.76 [1905]~P5(f406(a349,x19052))+P5(f406(a349,f428(f389(a522,x19051),x19052))) % 3.71/3.76 [1907]~P5(f395(a335,x19072))+P5(f395(a335,f407(f431(a524,x19071),x19072))) % 3.71/3.76 [1909]~P5(f366(a345,x19092))+P5(f366(a345,f388(f432(a525,x19091),x19092))) % 3.71/3.76 [1910]~E(x19101,x19102)+P5(f449(f443(a563,x19101),f454(f453(a568,x19102),a548))) % 3.71/3.76 [1925]E(f362(f464(a540,x19251),f362(f464(a540,x19251),x19252)),x19252)+~P5(f458(f460(a550,x19252),x19251)) % 3.71/3.76 [1926]E(f362(f464(a567,x19261),f362(f464(a540,x19262),x19261)),x19262)+~P5(f458(f460(a550,x19261),x19262)) % 3.71/3.76 [1930]E(f454(f453(a568,x19301),f363(a570,f194(x19301,x19302))),x19302)+~P5(f449(f443(a551,x19301),x19302)) % 3.71/3.76 [1985]P5(f458(f460(a550,x19851),x19852))+P5(f458(f460(a550,f362(a571,x19852)),x19851)) % 3.71/3.76 [2001]P5(f364(f392(a552,x20011),x20012))+P5(f364(f372(a530,f287(x20012,x20011)),x20011)) % 3.71/3.76 [2002]P5(f365(f419(a557,x20021),x20022))+P5(f365(f471(a526,f295(x20022,x20021)),x20021)) % 3.71/3.76 [2003]P5(f394(f413(a553,x20031),x20032))+P5(f394(f445(a528,f288(x20032,x20031)),x20031)) % 3.71/3.76 [2004]P5(f420(f376(a554,x20041),x20042))+P5(f420(f462(a527,f293(x20042,x20041)),x20041)) % 3.71/3.76 [2011]E(f362(a571,f362(f464(a567,x20111),f171(x20111,x20112))),x20112)+~P5(f458(f460(a549,x20111),x20112)) % 3.71/3.76 [2012]E(f362(a571,f362(f464(a567,x20121),f172(x20121,x20122))),x20122)+~P5(f458(f460(a549,x20121),x20122)) % 3.71/3.76 [2084]E(f84(f31(a325,f443(a551,a11)),x20841),f84(f31(a325,f443(a551,a11)),x20842))+P5(f449(f443(a551,a11),f195(x20841,x20842))) % 3.71/3.76 [2092]E(f362(f464(a540,f362(a571,x20921)),x20922),f362(a571,f362(f464(a540,x20921),x20922)))+~P5(f458(f460(a550,x20922),x20921)) % 3.71/3.76 [2096]~P5(f458(f460(a549,x20961),x20962))+P5(f458(f460(a550,f362(a571,x20961)),x20962)) % 3.71/3.76 [2098]P5(f364(a318,x20981))+~P5(f364(a318,f401(f369(a518,x20982),x20981))) % 3.71/3.76 [2099]P5(f365(a355,x20991))+~P5(f365(a355,f426(f478(a529,x20992),x20991))) % 3.71/3.76 [2100]P5(f394(a356,x21001))+~P5(f394(a356,f402(f441(a517,x21002),x21001))) % 3.71/3.76 [2101]P5(f394(a356,x21011))+~P5(f394(a356,f84(f31(a326,x21012),x21011))) % 3.71/3.76 [2102]P5(f394(a356,x21021))+~P5(f394(a356,f84(f31(a326,x21021),x21022))) % 3.71/3.76 [2103]P5(f420(a357,x21031))+~P5(f420(a357,f425(f461(a516,x21032),x21031))) % 3.71/3.76 [2104]P5(f420(a357,x21041))+~P5(f420(a357,f85(f23(a326,x21042),x21041))) % 3.71/3.76 [2105]P5(f420(a357,x21051))+~P5(f420(a357,f85(f23(a326,x21051),x21052))) % 3.71/3.76 [2106]P5(f427(a344,x21061))+~P5(f427(a344,f410(f391(a523,x21062),x21061))) % 3.71/3.76 [2107]P5(f406(a349,x21071))+~P5(f406(a349,f428(f389(a522,x21072),x21071))) % 3.71/3.76 [2108]P5(f395(a335,x21081))+~P5(f395(a335,f407(f431(a524,x21082),x21081))) % 3.71/3.76 [2109]P5(f366(a345,x21091))+~P5(f366(a345,f388(f432(a525,x21092),x21091))) % 3.71/3.76 [2113]E(f362(a571,f279(x21131,x21132)),x21132)+~P5(f458(f460(a550,f362(a571,x21131)),x21132)) % 3.71/3.76 [2114]E(f362(a571,f179(x21141,x21142)),x21142)+~P5(f458(f460(a549,f362(a571,x21141)),x21142)) % 3.71/3.76 [2115]E(f454(f453(a541,f363(a570,x21151)),f363(a570,x21152)),f363(a570,f362(f464(a540,x21151),x21152)))+~P5(f458(f460(a550,x21152),x21151)) % 3.71/3.76 [2116]P5(f420(a357,x21161))+~P5(f458(f460(a549,f168(x21162,x21161)),x21162)) % 3.71/3.76 [2117]P5(f420(a357,x21171))+~P5(f458(f460(a550,f301(x21171,x21172)),x21172)) % 3.71/3.76 [2118]P5(f420(a357,x21181))+~P5(f458(f460(a549,f169(x21181,x21182)),x21182)) % 3.71/3.76 [2170]E(f425(f397(a539,f425(f461(a516,x21701),x21702)),f425(f461(a516,x21701),a10)),x21702)+P5(f420(f462(a527,x21701),x21702)) % 3.71/3.76 [2171]E(f402(f368(a536,f402(f441(a517,x21711),x21712)),f402(f441(a517,x21711),a3)),x21712)+P5(f394(f445(a528,x21711),x21712)) % 3.71/3.76 [2189]~P5(f449(f443(a563,x21891),x21892))+P5(f449(f443(a551,x21891),f454(f453(a541,x21892),a548))) % 3.71/3.76 [2190]~P5(f449(f443(a551,x21901),x21902))+P5(f449(f443(a563,x21901),f454(f453(a568,x21902),a548))) % 3.71/3.76 [2191]~P5(f449(f443(a563,x21911),x21912))+P5(f449(f443(a563,x21911),f454(f453(a568,x21912),a548))) % 3.71/3.76 [2192]~P5(f458(f460(a549,x21922),x21921))+P5(f458(f460(a549,a1),f362(f464(a540,x21921),x21922))) % 3.71/3.76 [2222]E(x22221,x22222)+~P5(f394(f445(a528,x22221),f402(f441(a517,x22222),a3))) % 3.71/3.76 [2224]E(x22241,x22242)+~P5(f420(f462(a527,x22241),f425(f461(a516,x22242),a10))) % 3.71/3.76 [2249]P5(f458(f460(a550,x22491),x22492))+~P5(f458(f460(a550,f362(a571,x22491)),x22492)) % 3.71/3.76 [2252]P5(f458(f460(a549,x22521),x22522))+~P5(f458(f460(a550,f362(a571,x22521)),x22522)) % 3.71/3.76 [2253]P5(f458(f460(a549,x22531),x22532))+~P5(f458(f460(a549,f362(a571,x22531)),x22532)) % 3.71/3.76 [2314]P5(f364(f392(a552,x23141),x23142))+~P5(f364(f372(a530,f287(x23142,x23141)),x23142)) % 3.71/3.76 [2315]P5(f365(f419(a557,x23151),x23152))+~P5(f365(f471(a526,f295(x23152,x23151)),x23152)) % 3.71/3.76 [2316]P5(f394(f413(a553,x23161),x23162))+~P5(f394(f445(a528,f288(x23162,x23161)),x23162)) % 3.71/3.76 [2317]P5(f420(f376(a554,x23171),x23172))+~P5(f420(f462(a527,f293(x23172,x23171)),x23172)) % 3.71/3.76 [2404]~P5(f458(f460(a550,x24041),x24042))+~P5(f458(f460(a550,f362(a571,x24042)),x24041)) % 3.71/3.76 [2421]P5(f458(f460(a549,x24211),f179(x24211,x24212)))+~P5(f458(f460(a549,f362(a571,x24211)),x24212)) % 3.71/3.76 [2429]P5(f458(f460(a549,a1),x24291))+~P5(f458(f460(a549,a1),f362(f464(a572,x24292),x24291))) % 3.71/3.76 [2430]P5(f458(f460(a549,a1),x24301))+~P5(f458(f460(a549,a1),f362(f464(a572,x24301),x24302))) % 3.71/3.76 [2435]P5(f449(f443(a551,x24351),x24352))+~P5(f449(f443(a563,x24351),f454(f453(a568,x24352),a548))) % 3.71/3.76 [2436]P5(f449(f443(a563,x24361),x24362))+~P5(f449(f443(a551,x24361),f454(f453(a541,x24362),a548))) % 3.71/3.76 [2437]P5(f458(f460(a549,x24371),x24372))+~P5(f458(f460(a549,a1),f362(f464(a540,x24372),x24371))) % 3.71/3.76 [2486]~P5(f458(f544(a13,f460(a550,x24861)),x24862))+P5(f458(f460(a550,f362(a571,x24861)),x24862)) % 3.71/3.76 [2487]~P5(f458(f460(a550,f362(a571,x24871)),x24872))+P5(f458(f544(a13,f460(a550,x24871)),x24872)) % 3.71/3.76 [2682]~P5(f458(f460(a550,f362(a571,a1)),f362(f464(a572,x26822),x26821)))+P5(f458(f460(a550,f362(a571,a1)),x26821)) % 3.71/3.76 [2683]P5(f458(f460(a550,f362(a571,a1)),x26831))+~P5(f458(f460(a550,f362(a571,a1)),f362(f464(a572,x26831),x26832))) % 3.71/3.76 [2894]P5(f364(f392(a552,x28941),x28942))+~P5(f377(f378(a562,f371(x28941,f226(x28941,x28942))),f371(x28942,f226(x28941,x28942)))) % 3.71/3.76 [2895]P5(f364(f392(a552,x28951),x28952))+~P5(f377(f378(a562,f371(x28951,f294(x28951,x28952))),f371(x28952,f294(x28951,x28952)))) % 3.71/3.76 [2896]P5(f394(f413(a553,x28961),x28962))+~P5(f377(f378(a562,f449(x28961,f285(x28961,x28962))),f449(x28962,f285(x28961,x28962)))) % 3.71/3.76 [2897]P5(f394(f413(a553,x28971),x28972))+~P5(f377(f378(a562,f449(x28971,f299(x28971,x28972))),f449(x28972,f299(x28971,x28972)))) % 3.71/3.76 [2898]P5(f420(f376(a554,x28981),x28982))+~P5(f377(f378(a562,f458(x28981,f286(x28981,x28982))),f458(x28982,f286(x28981,x28982)))) % 3.71/3.76 [2899]P5(f420(f376(a554,x28991),x28992))+~P5(f377(f378(a562,f458(x28991,f300(x28991,x28992))),f458(x28992,f300(x28991,x28992)))) % 3.71/3.76 [1723]P5(f458(x17232,x17231))+E(f85(f23(a325,f460(f17(a322),x17231)),x17232),a10) % 3.71/3.76 [1724]P5(f449(x17242,x17241))+E(f84(f31(a325,f443(f18(a323),x17241)),x17242),a3) % 3.71/3.76 [1812]~P5(f458(x18122,x18121))+E(f85(f23(a325,f460(f17(a322),x18121)),x18122),f425(f461(a516,x18121),a10)) % 3.71/3.76 [1813]~P5(f449(x18132,x18131))+E(f84(f31(a325,f443(f18(a323),x18131)),x18132),f402(f441(a517,x18131),a3)) % 3.71/3.76 [1814]~P5(f449(a546,x18141))+E(f362(a571,f362(f464(a567,f316(x18141)),x18142)),f362(f464(a567,a547),x18142)) % 3.71/3.76 [1859]P5(f371(x18592,x18591))+E(f76(f78(f36(a325,f370(a324,x18591)),x18592)),a4) % 3.71/3.76 [1993]~P5(f371(x19932,x19931))+E(f76(f78(f36(a325,f370(a324,x19931)),x19932)),f401(f369(a518,x19931),a4)) % 3.71/3.76 [2111]E(f362(f464(a567,f362(f464(a540,x21111),x21112)),x21112),x21111)+~P5(f458(f460(a550,x21112),x21111)) % 3.71/3.76 [2174]~P5(f449(f443(a563,x21741),x21742))+E(f454(f453(a568,x21741),f363(a570,f362(a571,f217(x21741,x21742)))),x21742) % 3.71/3.76 [2363]E(f425(f461(a516,x23631),f425(f397(a539,x23632),f425(f461(a516,x23631),a10))),x23632)+~P5(f420(f462(a527,x23631),x23632)) % 3.71/3.76 [2364]E(f402(f441(a517,x23641),f402(f368(a536,x23642),f402(f441(a517,x23641),a3))),x23642)+~P5(f394(f445(a528,x23641),x23642)) % 3.71/3.76 [2405]~P5(f364(a318,f76(x24052)))+P5(f364(a318,f76(f78(f36(a325,x24051),x24052)))) % 3.71/3.76 [2406]~P5(f364(a318,f76(x24061)))+P5(f364(a318,f76(f78(f36(a325,x24061),x24062)))) % 3.71/3.76 [2407]~P5(f365(a355,f92(x24072)))+P5(f365(a355,f92(f79(f45(a325,x24071),x24072)))) % 3.71/3.76 [2408]~P5(f365(a355,f92(x24081)))+P5(f365(a355,f92(f79(f45(a325,x24081),x24082)))) % 3.71/3.76 [2409]~P5(f427(a344,f93(x24092)))+P5(f427(a344,f93(f80(f39(a325,x24091),x24092)))) % 3.71/3.76 [2410]~P5(f427(a344,f93(x24101)))+P5(f427(a344,f93(f80(f39(a325,x24101),x24102)))) % 3.71/3.76 [2411]~P5(f406(a349,f86(x24112)))+P5(f406(a349,f86(f81(f38(a325,x24111),x24112)))) % 3.71/3.76 [2412]~P5(f406(a349,f86(x24121)))+P5(f406(a349,f86(f81(f38(a325,x24121),x24122)))) % 3.71/3.76 [2413]~P5(f395(a335,f94(x24132)))+P5(f395(a335,f94(f82(f37(a325,x24131),x24132)))) % 3.71/3.76 [2414]~P5(f395(a335,f94(x24141)))+P5(f395(a335,f94(f82(f37(a325,x24141),x24142)))) % 3.71/3.76 [2415]~P5(f366(a345,f95(x24152)))+P5(f366(a345,f95(f83(f42(a325,x24151),x24152)))) % 3.71/3.76 [2416]~P5(f366(a345,f95(x24161)))+P5(f366(a345,f95(f83(f42(a325,x24161),x24162)))) % 3.71/3.76 [2551]~P5(f449(f443(a563,x25511),x25512))+P5(f449(f443(a551,f454(f453(a568,x25511),a548)),x25512)) % 3.71/3.76 [2560]~P5(f449(f443(a563,x25601),x25602))+P5(f449(f443(a563,f454(f453(a541,x25601),x25602)),a11)) % 3.71/3.76 [2639]E(x26391,x26392)+~E(f454(f453(a568,f454(f453(a568,a548),x26391)),x26391),f454(f453(a568,f454(f453(a568,a548),x26392)),x26392)) % 3.71/3.76 [2641]~P5(f365(a355,x26411))+P5(f458(f460(a550,f435(a354,x26411)),f435(a354,f426(f478(a529,x26412),x26411)))) % 3.71/3.76 [2642]~P5(f364(a318,x26421))+P5(f458(f460(a550,f442(a353,x26421)),f442(a353,f401(f369(a518,x26422),x26421)))) % 3.71/3.76 [2643]~P5(f395(a335,x26431))+P5(f458(f460(a550,f423(a346,x26431)),f423(a346,f407(f431(a524,x26432),x26431)))) % 3.71/3.76 [2644]~P5(f366(a345,x26441))+P5(f458(f460(a550,f434(a348,x26441)),f434(a348,f388(f432(a525,x26442),x26441)))) % 3.71/3.76 [2645]~P5(f406(a349,x26451))+P5(f458(f460(a550,f429(a337,x26451)),f429(a337,f428(f389(a522,x26452),x26451)))) % 3.71/3.76 [2646]~P5(f427(a344,x26461))+P5(f458(f460(a550,f409(a338,x26461)),f409(a338,f410(f391(a523,x26462),x26461)))) % 3.71/3.76 [2647]~P5(f420(a357,x26471))+P5(f458(f460(a550,f412(a351,x26471)),f412(a351,f425(f461(a516,x26472),x26471)))) % 3.71/3.76 [2648]~P5(f394(a356,x26481))+P5(f458(f460(a550,f436(a352,x26481)),f436(a352,f402(f441(a517,x26482),x26481)))) % 3.71/3.76 [2649]P5(f364(a318,f76(x26491)))+~P5(f364(a318,f76(f78(f36(a326,x26492),x26491)))) % 3.71/3.76 [2650]P5(f364(a318,f76(x26501)))+~P5(f364(a318,f76(f78(f36(a326,x26501),x26502)))) % 3.71/3.76 [2651]P5(f365(a355,f92(x26511)))+~P5(f365(a355,f92(f79(f45(a326,x26512),x26511)))) % 3.71/3.76 [2652]P5(f365(a355,f92(x26521)))+~P5(f365(a355,f92(f79(f45(a326,x26521),x26522)))) % 3.71/3.76 [2653]P5(f427(a344,f93(x26531)))+~P5(f427(a344,f93(f80(f39(a326,x26532),x26531)))) % 3.71/3.76 [2654]P5(f427(a344,f93(x26541)))+~P5(f427(a344,f93(f80(f39(a326,x26541),x26542)))) % 3.71/3.76 [2655]P5(f406(a349,f86(x26551)))+~P5(f406(a349,f86(f81(f38(a326,x26552),x26551)))) % 3.71/3.76 [2656]P5(f406(a349,f86(x26561)))+~P5(f406(a349,f86(f81(f38(a326,x26561),x26562)))) % 3.71/3.76 [2657]P5(f395(a335,f94(x26571)))+~P5(f395(a335,f94(f82(f37(a326,x26572),x26571)))) % 3.71/3.76 [2658]P5(f395(a335,f94(x26581)))+~P5(f395(a335,f94(f82(f37(a326,x26581),x26582)))) % 3.71/3.76 [2659]P5(f366(a345,f95(x26591)))+~P5(f366(a345,f95(f83(f42(a326,x26592),x26591)))) % 3.71/3.76 [2660]P5(f366(a345,f95(x26601)))+~P5(f366(a345,f95(f83(f42(a326,x26601),x26602)))) % 3.71/3.76 [2707]P5(f449(f443(a563,x27071),x27072))+~P5(f449(f443(a551,f454(f453(a568,x27071),a548)),x27072)) % 3.71/3.76 [2714]P5(f449(f443(a563,x27141),x27142))+~P5(f449(f443(a563,f454(f453(a541,x27141),x27142)),a11)) % 3.71/3.76 [2733]~P5(f458(f460(a549,a1),x27331))+P5(f458(f460(a549,f362(f464(a540,x27331),f362(a571,x27332))),x27331)) % 3.71/3.76 [2740]~P5(f420(f462(a527,a1),x27401))+~E(f412(a351,f85(f23(a325,f425(f61(a527),x27401)),f460(f17(a549),f362(a571,x27402)))),a1) % 3.71/3.76 [2851]~P5(f458(f460(a550,f134(x28512,x28511)),f362(x28511,f134(x28512,x28511))))+P5(f420(a357,f460(f17(f44(a550,x28511)),x28512))) % 3.71/3.76 [2910]P5(f420(f462(a527,a1),x29101))+E(f412(a351,f85(f23(a325,f425(f61(f22(a527,a571)),x29101)),f460(f17(a549),x29102))),f412(a351,f85(f23(a325,f425(f61(a527),x29101)),f460(f17(a549),f362(a571,x29102))))) % 3.71/3.76 [2925]~P5(f365(a355,x29252))+P5(f458(f460(a550,f362(f464(a540,f435(a354,x29251)),f435(a354,x29252))),f435(a354,f426(f386(a538,x29251),x29252)))) % 3.71/3.76 [2926]~P5(f364(a318,x29262))+P5(f458(f460(a550,f362(f464(a540,f442(a353,x29261)),f442(a353,x29262))),f442(a353,f401(f396(a535,x29261),x29262)))) % 3.71/3.76 [2927]~P5(f420(a357,x29272))+P5(f458(f460(a550,f362(f464(a540,f412(a351,x29271)),f412(a351,x29272))),f412(a351,f425(f397(a539,x29271),x29272)))) % 3.71/3.76 [2928]~P5(f394(a356,x29282))+P5(f458(f460(a550,f362(f464(a540,f436(a352,x29281)),f436(a352,x29282))),f436(a352,f402(f368(a536,x29281),x29282)))) % 3.71/3.76 [1932]P5(f371(x19322,x19321))+E(f76(f78(f36(a325,f370(f19(a324),x19321)),x19322)),a4) % 3.71/3.76 [2093]~P5(f371(x20932,x20931))+E(f76(f78(f36(a325,f370(f19(a324),x20931)),x20932)),f401(f369(a518,x20931),a4)) % 3.71/3.76 [2426]E(x24261,a1)+E(f362(a571,f362(f464(a567,f362(f464(a540,x24261),a547)),x24262)),f362(f464(a567,x24261),x24262)) % 3.71/3.76 [2480]E(x24801,a1)+E(f362(f464(a567,x24802),f362(f464(a572,f362(f464(a540,x24801),a547)),x24802)),f362(f464(a572,x24801),x24802)) % 3.71/3.76 [2505]P5(f449(a546,x25051))+E(f362(f464(a567,f316(f454(f453(a568,x25051),a548))),x25052),f362(a571,f362(f464(a567,f316(x25051)),x25052))) % 3.71/3.76 [2664]~P5(f365(a355,x26641))+E(f362(a571,f435(a354,f426(f386(a538,x26641),f426(f478(a529,x26642),a5)))),f435(a354,f426(f478(a529,x26642),x26641))) % 3.71/3.76 [2665]~P5(f364(a318,x26651))+E(f362(a571,f442(a353,f401(f396(a535,x26651),f401(f369(a518,x26652),a4)))),f442(a353,f401(f369(a518,x26652),x26651))) % 3.71/3.76 [2666]~P5(f420(a357,x26661))+E(f362(a571,f412(a351,f425(f397(a539,x26661),f425(f461(a516,x26662),a10)))),f412(a351,f425(f461(a516,x26662),x26661))) % 3.71/3.76 [2667]~P5(f394(a356,x26671))+E(f362(a571,f436(a352,f402(f368(a536,x26671),f402(f441(a517,x26672),a3)))),f436(a352,f402(f441(a517,x26672),x26671))) % 3.71/3.76 [2672]~P5(f365(a355,x26721))+E(f362(f464(a567,a547),f435(a354,f426(f386(a538,x26721),f426(f478(a529,x26722),a5)))),f435(a354,f426(f478(a529,x26722),x26721))) % 3.71/3.76 [2673]~P5(f364(a318,x26731))+E(f362(f464(a567,a547),f442(a353,f401(f396(a535,x26731),f401(f369(a518,x26732),a4)))),f442(a353,f401(f369(a518,x26732),x26731))) % 3.71/3.76 [2674]~P5(f420(a357,x26741))+E(f362(f464(a567,a547),f412(a351,f425(f397(a539,x26741),f425(f461(a516,x26742),a10)))),f412(a351,f425(f461(a516,x26742),x26741))) % 3.71/3.76 [2675]~P5(f394(a356,x26751))+E(f362(f464(a567,a547),f436(a352,f402(f368(a536,x26751),f402(f441(a517,x26752),a3)))),f436(a352,f402(f441(a517,x26752),x26751))) % 3.71/3.76 [2952]~P5(f420(f462(a527,a1),x29521))+E(f362(a571,f412(a351,f85(f23(a325,f425(f61(f22(a527,a571)),x29521)),f460(f17(a549),x29522)))),f412(a351,f85(f23(a325,f425(f61(a527),x29521)),f460(f17(a549),f362(a571,x29522))))) % 3.71/3.76 [2988]~P5(f449(f443(a551,x29881),x29882))+P5(f449(f443(a551,f454(f453(a568,f454(f453(a568,a548),x29881)),x29881)),f454(f453(a568,f454(f453(a568,a548),x29882)),x29882))) % 3.71/3.76 [2990]~P5(f449(f443(a563,x29901),x29902))+P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x29901)),x29901)),f454(f453(a568,f454(f453(a568,a548),x29902)),x29902))) % 3.71/3.76 [3019]P5(f449(f443(a551,x30191),x30192))+~P5(f449(f443(a551,f454(f453(a568,f454(f453(a568,a548),x30191)),x30191)),f454(f453(a568,f454(f453(a568,a548),x30192)),x30192))) % 3.71/3.76 [3021]P5(f449(f443(a563,x30211),x30212))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a568,a548),x30211)),x30211)),f454(f453(a568,f454(f453(a568,a548),x30212)),x30212))) % 3.71/3.76 [2991]P5(f364(f564(x29911),f401(f369(a518,f475(a537,x29912)),a4)))+~P5(f364(f564(f401(f369(a518,f475(a537,x29912)),x29911)),f401(f369(a518,f360(f578(f8(x29912)))),a4))) % 3.71/3.76 [1518]~E(x15182,a1)+E(f362(f464(a572,x15181),x15182),f362(f464(a572,x15183),x15182)) % 3.71/3.76 [1520]~E(x15201,a1)+E(f362(f464(a572,x15201),x15202),f362(f464(a572,x15201),x15203)) % 3.71/3.76 [1630]E(x16301,x16302)+~E(f362(f464(a567,x16303),x16301),f362(f464(a567,x16303),x16302)) % 3.71/3.76 [1633]E(x16331,x16332)+~E(f454(f453(a568,x16333),x16331),f454(f453(a568,x16333),x16332)) % 3.71/3.76 [1636]E(x16361,x16362)+~E(f362(f464(a567,x16361),x16363),f362(f464(a567,x16362),x16363)) % 3.71/3.76 [1638]E(x16381,x16382)+~E(f454(f453(a568,x16381),x16383),f454(f453(a568,x16382),x16383)) % 3.71/3.76 [1729]~E(x17292,f362(f464(a567,x17291),x17293))+P5(f458(f460(a550,x17291),x17292)) % 3.71/3.76 [1798]~E(x17982,f454(f453(a568,x17981),f363(a570,x17983)))+P5(f449(f443(a551,x17981),x17982)) % 3.71/3.76 [1800]E(f514(f74(x18001),x18002),f401(f369(a518,x18001),a4))+~P5(f365(f471(a526,x18003),x18002)) % 3.71/3.76 [1801]E(f361(f77(x18011),x18012),f402(f441(a517,x18011),a3))+~P5(f420(f462(a527,x18013),x18012)) % 3.71/3.76 [1802]~P5(f458(x18022,x18023))+P5(f458(f544(x18021,x18022),f362(a571,x18023))) % 3.71/3.76 [1929]P5(f458(x19291,x19292))+~P5(f458(f544(x19293,x19291),f362(a571,x19292))) % 3.71/3.76 [1991]E(f401(f369(a518,f475(x19911,x19912)),f514(x19911,x19913)),f514(x19911,x19913))+~P5(f365(f471(a526,x19912),x19913)) % 3.71/3.76 [1992]E(f402(f441(a517,f363(x19921,x19922)),f361(x19921,x19923)),f361(x19921,x19923))+~P5(f420(f462(a527,x19922),x19923)) % 3.71/3.76 [2163]E(f361(x21631,f290(x21632,x21631,x21633)),x21632)+~P5(f394(f413(a553,x21632),f361(x21631,x21633))) % 3.71/3.76 [2164]E(f363(x21641,f283(x21642,x21641,x21643)),x21642)+~P5(f394(f445(a528,x21642),f361(x21641,x21643))) % 3.71/3.76 [2165]E(f363(x21651,f292(x21652,x21651,x21653)),x21652)+~P5(f394(f445(a528,x21652),f361(x21651,x21653))) % 3.71/3.76 [2271]~P5(f364(f392(a552,x22711),x22713))+P5(f377(f378(a562,f371(x22711,x22712)),f371(x22713,x22712))) % 3.71/3.76 [2274]~P5(f394(f413(a553,x22741),x22743))+P5(f377(f378(a562,f449(x22741,x22742)),f449(x22743,x22742))) % 3.71/3.76 [2277]~P5(f420(f376(a554,x22771),x22773))+P5(f377(f378(a562,f458(x22771,x22772)),f458(x22773,x22772))) % 3.71/3.76 [2278]~P5(f365(f471(a526,x22782),x22783))+P5(f364(f372(a530,f475(x22781,x22782)),f514(x22781,x22783))) % 3.71/3.76 [2279]~P5(f365(f419(a557,x22792),x22793))+P5(f364(f392(a552,f514(x22791,x22792)),f514(x22791,x22793))) % 3.71/3.76 [2280]~P5(f420(f376(a554,x22802),x22803))+P5(f394(f413(a553,f361(x22801,x22802)),f361(x22801,x22803))) % 3.71/3.76 [2281]~P5(f420(f462(a527,x22812),x22813))+P5(f394(f445(a528,f363(x22811,x22812)),f361(x22811,x22813))) % 3.71/3.76 [1720]~P5(f339(x17203,x17201))+E(f412(x17201,f425(f461(a516,x17202),a10)),x17202) % 3.71/3.76 [1721]~P5(f333(x17213,x17211))+E(f393(x17211,f402(f441(a517,x17212),a3)),x17212) % 3.71/3.76 [1878]~E(x18782,f362(a571,f362(f464(a567,x18781),x18783)))+P5(f458(f460(a549,x18781),x18782)) % 3.71/3.76 [1917]~E(x19171,x19172)+P5(f364(f372(a530,x19171),f401(f369(a518,x19172),x19173))) % 3.71/3.76 [1918]~E(x19181,x19182)+P5(f365(f471(a526,x19181),f426(f478(a529,x19182),x19183))) % 3.71/3.76 [1920]~E(x19201,x19202)+P5(f394(f445(a528,x19201),f402(f441(a517,x19202),x19203))) % 3.71/3.76 [1922]~E(x19221,x19222)+P5(f420(f462(a527,x19221),f425(f461(a516,x19222),x19223))) % 3.71/3.76 [1986]~E(x19862,f454(f453(a568,x19861),f363(a570,f362(a571,x19863))))+P5(f449(f443(a563,x19861),x19862)) % 3.71/3.76 [2029]E(x20291,x20292)+~E(f362(f464(a572,f362(a571,x20293)),x20291),f362(f464(a572,f362(a571,x20293)),x20292)) % 3.71/3.76 [2097]P8(f296(x20971,x20972,x20973))+P5(f364(f392(a552,f514(x20971,x20973)),x20972)) % 3.71/3.76 [2229]~P5(f458(f460(a550,x22291),x22293))+P5(f458(f460(a550,x22291),f362(f464(a567,x22292),x22293))) % 3.71/3.76 [2231]~P5(f458(f460(a550,x22311),x22312))+P5(f458(f460(a550,x22311),f362(f464(a567,x22312),x22313))) % 3.71/3.76 [2233]~P5(f458(f460(a549,x22331),x22333))+P5(f458(f460(a549,x22331),f362(f464(a567,x22332),x22333))) % 3.71/3.76 [2235]~P5(f458(f460(a549,x22351),x22352))+P5(f458(f460(a549,x22351),f362(f464(a567,x22352),x22353))) % 3.71/3.76 [2237]~P5(f364(f372(a530,x22371),x22373))+P5(f364(f372(a530,x22371),f401(f369(a518,x22372),x22373))) % 3.71/3.76 [2238]~P5(f364(f392(a552,x22381),x22383))+P5(f364(f392(a552,x22381),f401(f369(a518,x22382),x22383))) % 3.71/3.76 [2240]~P5(f365(f471(a526,x22401),x22403))+P5(f365(f471(a526,x22401),f426(f478(a529,x22402),x22403))) % 3.71/3.76 [2241]~P5(f394(f413(a553,x22411),x22413))+P5(f394(f413(a553,x22411),f402(f441(a517,x22412),x22413))) % 3.71/3.76 [2244]~P5(f394(f445(a528,x22441),x22443))+P5(f394(f445(a528,x22441),f402(f441(a517,x22442),x22443))) % 3.71/3.76 [2245]~P5(f420(f376(a554,x22451),x22453))+P5(f420(f376(a554,x22451),f425(f461(a516,x22452),x22453))) % 3.71/3.76 [2248]~P5(f420(f462(a527,x22481),x22483))+P5(f420(f462(a527,x22481),f425(f461(a516,x22482),x22483))) % 3.71/3.76 [2470]P5(f364(f372(a530,x24701),x24702))+~P5(f364(f372(a530,x24701),f401(f396(a535,x24702),x24703))) % 3.71/3.76 [2473]P5(f365(f471(a526,x24731),x24732))+~P5(f365(f471(a526,x24731),f426(f386(a538,x24732),x24733))) % 3.71/3.76 [2476]P5(f394(f445(a528,x24761),x24762))+~P5(f394(f445(a528,x24761),f402(f368(a536,x24762),x24763))) % 3.71/3.76 [2479]P5(f420(f462(a527,x24791),x24792))+~P5(f420(f462(a527,x24791),f425(f397(a539,x24792),x24793))) % 3.71/3.76 [2531]~P5(f364(f372(a530,x25311),x25312))+~P5(f364(f372(a530,x25311),f401(f396(a535,x25313),x25312))) % 3.71/3.76 [2534]~P5(f365(f471(a526,x25341),x25342))+~P5(f365(f471(a526,x25341),f426(f386(a538,x25343),x25342))) % 3.71/3.76 [2537]~P5(f394(f445(a528,x25371),x25372))+~P5(f394(f445(a528,x25371),f402(f368(a536,x25373),x25372))) % 3.71/3.76 [2540]~P5(f420(f462(a527,x25401),x25402))+~P5(f420(f462(a527,x25401),f425(f397(a539,x25403),x25402))) % 3.71/3.76 [2662]P5(f458(f460(a549,a1),x26621))+P5(f458(f460(a550,f362(f464(a572,x26622),x26621)),f362(f464(a572,x26623),x26621))) % 3.71/3.76 [2663]P5(f458(f460(a549,a1),x26631))+P5(f458(f460(a550,f362(f464(a572,x26631),x26632)),f362(f464(a572,x26631),x26633))) % 3.71/3.76 [2686]~P5(f449(f443(a551,x26862),x26863))+P5(f449(f443(a551,f454(f453(a568,x26861),x26862)),f454(f453(a568,x26861),x26863))) % 3.71/3.76 [2688]~P5(f449(f443(a551,x26881),x26883))+P5(f449(f443(a551,f454(f453(a568,x26881),x26882)),f454(f453(a568,x26883),x26882))) % 3.71/3.76 [2689]~P5(f449(f443(a563,x26891),x26893))+P5(f449(f443(a563,f454(f453(a568,x26891),x26892)),f454(f453(a568,x26893),x26892))) % 3.71/3.76 [2690]~P5(f458(f460(a550,x26903),x26902))+P5(f458(f460(a550,f362(f464(a540,x26901),x26902)),f362(f464(a540,x26901),x26903))) % 3.71/3.76 [2691]~P5(f458(f460(a550,x26911),x26913))+P5(f458(f460(a550,f362(f464(a540,x26911),x26912)),f362(f464(a540,x26913),x26912))) % 3.71/3.76 [2694]~P5(f458(f460(a550,x26942),x26943))+P5(f458(f460(a550,f362(f464(a567,x26941),x26942)),f362(f464(a567,x26941),x26943))) % 3.71/3.76 [2697]~P5(f458(f460(a550,x26971),x26973))+P5(f458(f460(a550,f362(f464(a567,x26971),x26972)),f362(f464(a567,x26973),x26972))) % 3.71/3.76 [2699]~P5(f458(f460(a550,x26992),x26993))+P5(f458(f460(a550,f362(f464(a572,x26991),x26992)),f362(f464(a572,x26991),x26993))) % 3.71/3.76 [2701]~P5(f458(f460(a550,x27011),x27013))+P5(f458(f460(a550,f362(f464(a572,x27011),x27012)),f362(f464(a572,x27013),x27012))) % 3.71/3.76 [2702]~P5(f458(f460(a549,x27022),x27023))+P5(f458(f460(a549,f362(f464(a567,x27021),x27022)),f362(f464(a567,x27021),x27023))) % 3.71/3.76 [2703]~P5(f458(f460(a549,x27031),x27033))+P5(f458(f460(a549,f362(f464(a567,x27031),x27032)),f362(f464(a567,x27033),x27032))) % 3.71/3.76 [2704]~P5(f364(f392(a552,x27042),x27043))+P5(f364(f392(a552,f401(f369(a518,x27041),x27042)),f401(f369(a518,x27041),x27043))) % 3.71/3.76 [2705]~P5(f394(f413(a553,x27052),x27053))+P5(f394(f413(a553,f402(f441(a517,x27051),x27052)),f402(f441(a517,x27051),x27053))) % 3.71/3.76 [2706]~P5(f420(f376(a554,x27062),x27063))+P5(f420(f376(a554,f425(f461(a516,x27061),x27062)),f425(f461(a516,x27061),x27063))) % 3.71/3.76 [2736]P5(f365(f471(a526,f296(x27361,x27363,x27362)),x27362))+P5(f364(f392(a552,f514(x27361,x27362)),x27363)) % 3.71/3.76 [2737]P5(f420(f462(a527,f298(x27371,x27373,x27372)),x27372))+P5(f394(f413(a553,f361(x27371,x27372)),x27373)) % 3.71/3.76 [2751]~P5(f394(f413(a553,x27511),f361(x27512,x27513)))+P5(f420(f376(a554,f290(x27511,x27512,x27513)),x27513)) % 3.71/3.76 [2752]~P5(f394(f445(a528,x27521),f361(x27522,x27523)))+P5(f420(f462(a527,f283(x27521,x27522,x27523)),x27523)) % 3.71/3.76 [2753]~P5(f394(f445(a528,x27531),f361(x27532,x27533)))+P5(f420(f462(a527,f292(x27531,x27532,x27533)),x27533)) % 3.71/3.76 [2864]P5(f458(f460(a549,a1),x28641))+~P5(f458(f460(a549,f362(f464(a572,x28642),x28641)),f362(f464(a572,x28643),x28641))) % 3.71/3.76 [2865]P5(f458(f460(a549,a1),x28651))+~P5(f458(f460(a549,f362(f464(a572,x28651),x28652)),f362(f464(a572,x28651),x28653))) % 3.71/3.76 [2870]P5(f449(f443(a551,x28701),x28702))+~P5(f449(f443(a551,f454(f453(a568,x28703),x28701)),f454(f453(a568,x28703),x28702))) % 3.71/3.76 [2872]P5(f449(f443(a551,x28721),x28722))+~P5(f449(f443(a551,f454(f453(a568,x28721),x28723)),f454(f453(a568,x28722),x28723))) % 3.71/3.76 [2875]P5(f458(f460(a550,x28751),x28752))+~P5(f458(f460(a550,f362(f464(a567,x28753),x28751)),f362(f464(a567,x28753),x28752))) % 3.71/3.76 [2877]P5(f458(f460(a550,x28771),x28772))+~P5(f458(f460(a550,f362(f464(a567,x28771),x28773)),f362(f464(a567,x28772),x28773))) % 3.71/3.76 [2878]P5(f458(f460(a549,x28781),x28782))+~P5(f458(f460(a549,f362(f464(a567,x28783),x28781)),f362(f464(a567,x28783),x28782))) % 3.71/3.76 [2879]P5(f458(f460(a549,x28791),x28792))+~P5(f458(f460(a549,f362(f464(a572,x28793),x28791)),f362(f464(a572,x28793),x28792))) % 3.71/3.76 [2880]P5(f458(f460(a549,x28801),x28802))+~P5(f458(f460(a549,f362(f464(a572,x28801),x28803)),f362(f464(a572,x28802),x28803))) % 3.71/3.76 [1722]P5(x17221)+E(f363(a570,f362(f464(f470(x17221),x17222),x17223)),f363(a570,x17223)) % 3.71/3.76 [1725]~P5(x17251)+E(f363(a570,f362(f464(f470(x17251),x17252),x17253)),f363(a570,x17252)) % 3.71/3.76 [1936]~P5(f449(a546,x19361))+E(f362(f464(a567,f316(x19361)),f362(f464(a567,f316(x19362)),x19363)),f362(f464(a567,f316(x19362)),x19363)) % 3.71/3.76 [2214]~P5(f364(f372(a530,x22141),x22143))+E(f401(f396(a535,f401(f369(a518,x22141),x22142)),x22143),f401(f396(a535,x22142),x22143)) % 3.71/3.76 [2216]~P5(f365(f471(a526,x22161),x22163))+E(f426(f386(a538,f426(f478(a529,x22161),x22162)),x22163),f426(f386(a538,x22162),x22163)) % 3.71/3.76 [2218]~P5(f420(f462(a527,x22181),x22183))+E(f425(f397(a539,f425(f461(a516,x22181),x22182)),x22183),f425(f397(a539,x22182),x22183)) % 3.71/3.76 [2220]~P5(f394(f445(a528,x22201),x22203))+E(f402(f368(a536,f402(f441(a517,x22201),x22202)),x22203),f402(f368(a536,x22202),x22203)) % 3.71/3.76 [2334]E(f401(f396(a535,f401(f369(a518,x23341),x23342)),x23343),f401(f369(a518,x23341),f401(f396(a535,x23342),x23343)))+P5(f364(f372(a530,x23341),x23343)) % 3.71/3.76 [2335]E(f426(f386(a538,f426(f478(a529,x23351),x23352)),x23353),f426(f478(a529,x23351),f426(f386(a538,x23352),x23353)))+P5(f365(f471(a526,x23351),x23353)) % 3.71/3.76 [2336]E(f425(f397(a539,f425(f461(a516,x23361),x23362)),x23363),f425(f461(a516,x23361),f425(f397(a539,x23362),x23363)))+P5(f420(f462(a527,x23361),x23363)) % 3.71/3.76 [2337]E(f402(f368(a536,f402(f441(a517,x23371),x23372)),x23373),f402(f441(a517,x23371),f402(f368(a536,x23372),x23373)))+P5(f394(f445(a528,x23371),x23373)) % 3.71/3.77 [2432]~P5(f458(f460(a550,x24322),x24323))+E(f362(f464(a540,f362(f464(a567,x24321),x24322)),x24323),f362(f464(a540,x24321),f362(f464(a540,x24323),x24322))) % 3.71/3.77 [2434]E(f362(f464(a540,f362(f464(a567,x24341),x24342)),x24343),f362(f464(a567,x24341),f362(f464(a540,x24342),x24343)))+~P5(f458(f460(a550,x24343),x24342)) % 3.71/3.77 [2562]~P5(f458(f460(a550,x25622),x25621))+E(f362(f464(a567,f362(f464(a540,x25621),x25622)),x25623),f362(f464(a540,f362(f464(a567,x25621),x25623)),x25622)) % 3.71/3.77 [2572]~P5(f458(f460(a549,x25721),x25723))+P5(f458(f460(a549,f362(f464(a540,x25721),x25722)),x25723)) % 3.71/3.77 [2637]~P5(f458(f460(a550,x26372),x26373))+E(f362(f464(a540,f362(f464(a567,x26371),x26372)),f362(a571,x26373)),f362(f464(a540,x26371),f362(a571,f362(f464(a540,x26373),x26372)))) % 3.71/3.77 [2718]P5(f458(f460(a550,x27181),x27182))+~P5(f458(f460(a550,f362(f464(a567,x27183),x27181)),x27182)) % 3.71/3.77 [2719]P5(f458(f460(a550,x27191),x27192))+~P5(f458(f460(a550,f362(f464(a567,x27191),x27193)),x27192)) % 3.71/3.77 [2720]P5(f458(f460(a549,x27201),x27202))+~P5(f458(f460(a549,f362(f464(a567,x27201),x27203)),x27202)) % 3.71/3.77 [2721]P5(f364(f372(a530,x27211),x27212))+~P5(f364(f392(a552,f401(f369(a518,x27211),x27213)),x27212)) % 3.71/3.77 [2722]P5(f364(f392(a552,x27221),x27222))+~P5(f364(f392(a552,f401(f369(a518,x27223),x27221)),x27222)) % 3.71/3.77 [2723]P5(f365(f471(a526,x27231),x27232))+~P5(f365(f419(a557,f426(f478(a529,x27231),x27233)),x27232)) % 3.71/3.77 [2724]P5(f365(f419(a557,x27241),x27242))+~P5(f365(f419(a557,f426(f478(a529,x27243),x27241)),x27242)) % 3.71/3.77 [2725]P5(f394(f413(a553,x27251),x27252))+~P5(f394(f413(a553,f402(f441(a517,x27253),x27251)),x27252)) % 3.71/3.77 [2726]P5(f394(f445(a528,x27261),x27262))+~P5(f394(f413(a553,f402(f441(a517,x27261),x27263)),x27262)) % 3.71/3.77 [2727]P5(f420(f376(a554,x27271),x27272))+~P5(f420(f376(a554,f425(f461(a516,x27273),x27271)),x27272)) % 3.71/3.77 [2728]P5(f420(f462(a527,x27281),x27282))+~P5(f420(f376(a554,f425(f461(a516,x27281),x27283)),x27282)) % 3.71/3.77 [2754]~P5(f458(f460(a550,x27541),f362(f464(a567,x27543),x27542)))+P5(f458(f460(a550,f362(f464(a540,x27541),x27542)),x27543)) % 3.71/3.77 [2755]~P5(f458(f460(a549,x27551),f362(f464(a540,x27553),x27552)))+P5(f458(f460(a549,f362(f464(a567,x27551),x27552)),x27553)) % 3.71/3.77 [2763]~P5(f364(a318,f401(f396(a535,x27631),x27633)))+P5(f364(a318,f401(f396(a535,x27631),f401(f369(a518,x27632),x27633)))) % 3.71/3.77 [2764]~P5(f365(a355,f426(f386(a538,x27641),x27643)))+P5(f365(a355,f426(f386(a538,x27641),f426(f478(a529,x27642),x27643)))) % 3.71/3.77 [2765]~P5(f394(a356,f402(f368(a536,x27651),x27653)))+P5(f394(a356,f402(f368(a536,x27651),f402(f441(a517,x27652),x27653)))) % 3.71/3.77 [2766]~P5(f420(a357,f425(f397(a539,x27661),x27663)))+P5(f420(a357,f425(f397(a539,x27661),f425(f461(a516,x27662),x27663)))) % 3.71/3.77 [2849]P5(f458(f460(a550,x28491),f362(f464(a567,x28492),x28493)))+~P5(f458(f460(a550,f362(f464(a540,x28491),x28493)),x28492)) % 3.71/3.77 [2850]P5(f458(f460(a549,x28501),f362(f464(a540,x28502),x28503)))+~P5(f458(f460(a549,f362(f464(a567,x28501),x28503)),x28502)) % 3.71/3.77 [2887]P5(f364(a318,f401(f396(a535,x28871),x28872)))+~P5(f364(a318,f401(f396(a535,x28871),f401(f369(a518,x28873),x28872)))) % 3.71/3.77 [2888]P5(f365(a355,f426(f386(a538,x28881),x28882)))+~P5(f365(a355,f426(f386(a538,x28881),f426(f478(a529,x28883),x28882)))) % 3.71/3.77 [2889]P5(f394(a356,f402(f368(a536,x28891),x28892)))+~P5(f394(a356,f402(f368(a536,x28891),f402(f441(a517,x28893),x28892)))) % 3.71/3.77 [2890]P5(f420(a357,f425(f397(a539,x28901),x28902)))+~P5(f420(a357,f425(f397(a539,x28901),f425(f461(a516,x28903),x28902)))) % 3.71/3.77 [2921]~P5(f458(f460(a549,x29212),x29213))+P5(f458(f460(a549,f362(f464(a572,f362(a571,x29211)),x29212)),f362(f464(a572,f362(a571,x29211)),x29213))) % 3.71/3.77 [2953]P5(f458(f460(a550,x29531),x29532))+~P5(f458(f460(a550,f362(f464(a572,f362(a571,x29533)),x29531)),f362(f464(a572,f362(a571,x29533)),x29532))) % 3.71/3.77 [2973]P5(f364(f392(a552,f514(x29731,x29732)),x29733))+~P5(f364(f372(a530,f475(x29731,f296(x29731,x29733,x29732))),x29733)) % 3.71/3.77 [2974]P5(f394(f413(a553,f361(x29741,x29742)),x29743))+~P5(f394(f445(a528,f363(x29741,f298(x29741,x29743,x29742))),x29743)) % 3.71/3.77 [2975]P5(f458(f460(a549,f174(x29751,x29752,x29753)),f175(x29751,x29752,x29753)))+P5(f458(f460(a550,f362(f464(a567,f362(x29753,x29751)),x29752)),f362(x29753,f362(f464(a567,x29751),x29752)))) % 3.71/3.77 [3023]~P5(f458(f460(a549,f362(x30231,f174(x30232,x30233,x30231))),f362(x30231,f175(x30232,x30233,x30231))))+P5(f458(f460(a550,f362(f464(a567,f362(x30231,x30232)),x30233)),f362(x30231,f362(f464(a567,x30232),x30233)))) % 3.71/3.77 [2715]~P5(f458(f460(a550,x27152),x27151))+E(f362(f464(a540,f362(a571,f362(f464(a540,x27151),x27152))),x27153),f362(f464(a540,f362(a571,x27151)),f362(f464(a567,x27152),x27153))) % 3.71/3.77 [2892]~P5(f458(f460(a550,x28923),x28922))+P5(f458(f460(a550,x28921),f362(f464(a540,f362(f464(a567,x28922),x28921)),x28923))) % 3.71/3.77 [3060]~P5(f449(f443(a563,a11),x30603))+P5(f449(f443(a563,x30601),f454(f453(a568,x30602),f454(f453(a573,f454(f453(a568,f6(f454(f453(a541,x30602),x30601))),a548)),x30603)))) % 3.71/3.77 [3063]~P5(f449(f443(a563,a11),x30633))+P5(f449(f443(a563,f454(f453(a541,x30631),f454(f453(a573,f454(f453(a568,f6(f454(f453(a541,x30631),x30632))),a548)),x30633))),x30632)) % 3.71/3.77 [3015]~P5(f458(f460(a550,x30151),x30154))+E(f362(f464(a540,f362(f464(a567,f362(f464(a572,x30151),x30152)),x30153)),f362(f464(a567,f362(f464(a572,x30154),x30152)),x30155)),f362(f464(a540,x30153),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30154),x30151)),x30152)),x30155))) % 3.71/3.77 [3035]~P5(f458(f460(a550,x30354),x30351))+E(f362(f464(a540,f362(f464(a567,f362(f464(a572,x30351),x30352)),x30353)),f362(f464(a567,f362(f464(a572,x30354),x30352)),x30355)),f362(f464(a540,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30351),x30354)),x30352)),x30353)),x30355)) % 3.71/3.77 [1361]~P3(x13611)+E(x13611,a319)+E(x13611,a13) % 3.71/3.77 [1373]~P1(x13731)+E(x13731,a4)+P1(f96(x13731)) % 3.71/3.77 [1374]~P1(x13741)+E(x13741,a4)+P4(f308(x13741)) % 3.71/3.77 [1375]~P1(x13751)+E(x13751,a4)+P4(f311(x13751)) % 3.71/3.77 [1376]~P1(x13761)+E(x13761,a4)+P4(f97(x13761)) % 3.71/3.77 [1377]~P7(x13771)+E(x13771,a5)+P7(f135(x13771)) % 3.71/3.77 [1378]~P7(x13781)+E(x13781,a5)+P8(f312(x13781)) % 3.71/3.77 [1379]~P7(x13791)+E(x13791,a5)+P8(f98(x13791)) % 3.71/3.77 [1380]~P7(x13801)+E(x13801,a5)+P8(f136(x13801)) % 3.71/3.77 [1405]~P1(x14051)+~E(x14051,a4)+P5(f364(a318,x14051)) % 3.71/3.77 [1406]~P7(x14061)+~E(x14061,a5)+P5(f365(a355,x14061)) % 3.71/3.77 [1503]~P1(x15031)+E(x15031,a4)+E(f401(f369(a518,f97(x15031)),f96(x15031)),x15031) % 3.71/3.77 [1504]~P7(x15041)+E(x15041,a5)+E(f426(f478(a529,f136(x15041)),f135(x15041)),x15041) % 3.71/3.77 [1570]E(x15701,a3)+~P5(f394(a356,x15701))+P5(f394(a356,f128(x15701))) % 3.71/3.77 [1571]E(x15711,a10)+~P5(f420(a357,x15711))+P5(f420(a357,f129(x15711))) % 3.71/3.77 [1593]E(x15931,a3)+E(f402(f441(a517,f130(x15931)),f128(x15931)),x15931)+~P5(f394(a356,x15931)) % 3.71/3.77 [1594]E(x15941,a10)+E(f425(f461(a516,f131(x15941)),f129(x15941)),x15941)+~P5(f420(a357,x15941)) % 3.71/3.77 [1698]~P1(x16981)+E(x16981,a4)+~P5(f364(f392(a552,x16981),a4)) % 3.71/3.77 [1817]~P1(x18171)+E(x18171,a4)+~P5(f364(f372(a530,f97(x18171)),f96(x18171))) % 3.71/3.77 [1818]~P7(x18181)+E(x18181,a5)+~P5(f365(f471(a526,f136(x18181)),f135(x18181))) % 3.71/3.77 [1605]~P1(x16051)+E(x16051,a4)+P5(f364(f372(a530,f308(x16051)),x16051)) % 3.71/3.77 [1606]~P1(x16061)+E(x16061,a4)+P5(f364(f372(a530,f311(x16061)),x16061)) % 3.71/3.77 [1607]~P7(x16071)+E(x16071,a5)+P5(f365(f471(a526,f312(x16071)),x16071)) % 3.71/3.77 [1608]~P7(x16081)+E(x16081,a5)+P5(f365(f471(a526,f98(x16081)),x16081)) % 3.71/3.77 [1386]~P7(x13862)+~E(x13862,a5)+E(f514(x13861,x13862),a4) % 3.71/3.77 [1397]~P7(x13971)+E(x13971,a5)+~E(f514(x13972,x13971),a4) % 3.71/3.77 [1463]~P1(x14631)+~P4(x14632)+P3(f371(x14631,x14632)) % 3.71/3.77 [1464]~P7(x14641)+~P8(x14642)+P3(f474(x14641,x14642)) % 3.71/3.77 [1465]~P1(x14652)+~P2(x14651)+P3(f364(x14651,x14652)) % 3.71/3.77 [1466]~P7(x14662)+~P6(x14661)+P3(f365(x14661,x14662)) % 3.71/3.77 [1496]~P4(x14962)+~P5(f371(x14961,x14962))+~E(f76(x14961),a4) % 3.71/3.77 [1456]~E(x14562,a1)+~E(x14561,a1)+E(f362(f464(a567,x14561),x14562),a1) % 3.71/3.77 [1457]~E(x14572,a547)+~E(x14571,a547)+E(f362(f464(a572,x14571),x14572),a547) % 3.71/3.77 [1492]E(x14921,a1)+E(x14922,a1)+~E(f362(f464(a572,x14922),x14921),a1) % 3.71/3.77 [1501]E(x15011,a547)+E(x15012,a1)+~E(f362(f464(a572,x15012),x15011),x15012) % 3.71/3.77 [1502]~P7(x15021)+E(x15021,a5)+E(f514(f74(x15022),x15021),f401(f369(a518,x15022),a4)) % 3.71/3.77 [1507]~E(x15072,a1)+~E(x15071,f362(a571,a1))+E(f362(f464(a567,x15071),x15072),f362(a571,a1)) % 3.71/3.77 [1508]~E(x15081,a1)+~E(x15082,f362(a571,a1))+E(f362(f464(a567,x15081),x15082),f362(a571,a1)) % 3.71/3.77 [1522]E(x15221,a1)+E(x15222,a1)+~E(f362(f464(a567,x15222),x15221),f362(a571,a1)) % 3.71/3.77 [1573]~E(x15731,f362(a571,a1))+~E(x15732,f362(a571,a1))+E(f362(f464(a572,x15731),x15732),f362(a571,a1)) % 3.71/3.77 [1578]E(x15781,f362(a571,a1))+E(x15781,a1)+~E(f362(f464(a567,x15782),x15781),f362(a571,a1)) % 3.71/3.77 [1579]E(x15791,f362(a571,a1))+E(x15791,a1)+~E(f362(f464(a567,x15791),x15792),f362(a571,a1)) % 3.71/3.77 [1581]~P5(x15812)+~P5(x15811)+P5(f377(f378(a325,x15811),x15812)) % 3.71/3.77 [1591]E(x15911,f362(a571,a1))+E(x15912,f362(a571,a1))+~E(f362(f464(a567,x15911),x15912),f362(a571,a1)) % 3.71/3.77 [1640]E(x16401,x16402)+~E(f362(f464(a540,x16402),x16401),a1)+~E(f362(f464(a540,x16401),x16402),a1) % 3.71/3.77 [1709]P5(x17091)+P5(x17092)+~P5(f377(f378(a326,x17092),x17091)) % 3.71/3.77 [1710]~E(f316(x17102),f316(x17101))+~P5(f449(a546,x17102))+P5(f449(f443(a551,x17101),a11)) % 3.71/3.77 [1719]P5(x17191)+~P5(x17192)+~P5(f377(f378(a331,x17192),x17191)) % 3.71/3.77 [1743]~P5(f458(x17431,x17432))+P5(f458(x17431,a1))+~P5(f458(x17431,f189(x17431))) % 3.71/3.77 [1772]E(x17721,x17722)+P5(f449(f443(a563,x17722),x17721))+P5(f449(f443(a563,x17721),x17722)) % 3.71/3.77 [1774]E(x17741,x17742)+P5(f458(f460(a549,x17742),x17741))+P5(f458(f460(a549,x17741),x17742)) % 3.71/3.77 [1777]P5(f458(x17771,x17772))+~P5(f458(x17771,a1))+P5(f458(x17771,f192(x17772,x17771))) % 3.71/3.77 [1780]~P5(f458(x17801,x17802))+P5(f458(x17801,a1))+P5(f458(x17801,f181(x17802,x17801))) % 3.71/3.77 [1789]~P1(x17892)+E(f401(f369(a518,x17891),x17892),x17892)+~P5(f364(f372(a530,x17891),x17892)) % 3.71/3.77 [1790]~P7(x17902)+E(f426(f478(a529,x17901),x17902),x17902)+~P5(f365(f471(a526,x17901),x17902)) % 3.71/3.77 [1793]E(f316(x17931),f316(x17932))+~P5(f449(a546,x17931))+~P5(f449(f443(a551,x17932),a11)) % 3.71/3.77 [1796]E(x17961,a548)+~E(f454(f453(a573,x17962),x17961),a548)+~P5(f449(f443(a563,a11),x17962)) % 3.71/3.77 [1797]E(x17971,a548)+~E(f454(f453(a573,x17971),x17972),a548)+~P5(f449(f443(a563,a11),x17971)) % 3.71/3.77 [1799]E(x17991,f362(a571,x17992))+E(f362(a571,f166(x17992,x17991)),x17991)+~P5(f458(f460(a549,x17992),x17991)) % 3.71/3.77 [1808]P8(f227(x18081,x18082))+P5(f365(a355,x18082))+~P5(f364(a318,f514(x18081,x18082))) % 3.71/3.77 [1820]P5(f364(a318,x18201))+~P5(f364(a318,x18202))+~P5(f364(f392(a552,x18201),x18202)) % 3.71/3.77 [1822]P5(f365(a355,x18221))+~P5(f365(a355,x18222))+~P5(f365(f419(a557,x18221),x18222)) % 3.71/3.77 [1824]P5(f394(a356,x18241))+~P5(f394(a356,x18242))+~P5(f394(f413(a553,x18241),x18242)) % 3.71/3.77 [1826]P5(f420(a357,x18261))+~P5(f420(a357,x18262))+~P5(f420(f376(a554,x18261),x18262)) % 3.71/3.77 [1828]P5(f427(a344,x18281))+~P5(f427(a344,x18282))+~P5(f427(f385(a555,x18281),x18282)) % 3.71/3.77 [1830]P5(f406(a349,x18301))+~P5(f406(a349,x18302))+~P5(f406(f422(a560,x18301),x18302)) % 3.71/3.77 [1832]P5(f395(a335,x18321))+~P5(f395(a335,x18322))+~P5(f395(f418(a558,x18321),x18322)) % 3.71/3.77 [1834]P5(f366(a345,x18341))+~P5(f366(a345,x18342))+~P5(f366(f400(a556,x18341),x18342)) % 3.71/3.77 [1861]E(x18611,x18612)+P5(f449(f443(a563,x18611),x18612))+~P5(f449(f443(a551,x18611),x18612)) % 3.71/3.77 [1864]E(x18641,x18642)+P5(f458(f460(a549,x18641),x18642))+~P5(f458(f460(a550,x18641),x18642)) % 3.71/3.77 [1931]E(x19311,a1)+E(f362(a571,f182(x19311,x19312)),x19311)+~P5(f458(f460(a549,x19311),f362(a571,x19312))) % 3.71/3.77 [1967]E(x19671,x19672)+~P5(f449(f443(a551,x19672),x19671))+~P5(f449(f443(a551,x19671),x19672)) % 3.71/3.77 [1972]E(x19721,x19722)+~P5(f458(f460(a550,x19722),x19721))+~P5(f458(f460(a550,x19721),x19722)) % 3.71/3.77 [1978]E(x19781,x19782)+~P5(f394(f413(a553,x19782),x19781))+~P5(f394(f413(a553,x19781),x19782)) % 3.71/3.77 [1984]E(x19841,x19842)+~P5(f420(f376(a554,x19842),x19841))+~P5(f420(f376(a554,x19841),x19842)) % 3.71/3.77 [1994]~P5(f420(a357,x19942))+~P5(f420(f462(a527,x19941),x19942))+P5(f458(f460(a550,x19941),f302(x19942))) % 3.71/3.77 [1995]~P5(f420(a357,x19952))+~P5(f420(f462(a527,x19951),x19952))+P5(f458(f460(a549,x19951),f170(x19952))) % 3.71/3.77 [2028]E(x20281,f362(a571,x20282))+~P5(f458(f460(a549,x20282),x20281))+P5(f458(f460(a549,x20282),f166(x20282,x20281))) % 3.71/3.77 [2036]E(x20361,x20362)+P5(f458(f460(a549,x20361),x20362))+~P5(f458(f460(a549,x20361),f362(a571,x20362))) % 3.71/3.77 [2087]E(x20871,f362(a571,x20872))+P5(f458(f460(a550,x20871),x20872))+~P5(f458(f460(a550,x20871),f362(a571,x20872))) % 3.71/3.77 [2124]E(x21241,x21242)+~P5(f458(f460(a550,x21242),x21241))+~P5(f458(f460(a549,x21241),f362(a571,x21242))) % 3.71/3.77 [2394]~P5(f365(a355,x23942))+~P5(f365(f419(a557,x23941),x23942))+P5(f458(f460(a550,f435(a354,x23941)),f435(a354,x23942))) % 3.71/3.77 [2395]~P5(f364(a318,x23952))+~P5(f364(f392(a552,x23951),x23952))+P5(f458(f460(a550,f442(a353,x23951)),f442(a353,x23952))) % 3.71/3.77 [2396]~P5(f395(a335,x23962))+~P5(f395(f418(a558,x23961),x23962))+P5(f458(f460(a550,f423(a346,x23961)),f423(a346,x23962))) % 3.71/3.77 [2397]~P5(f366(a345,x23972))+~P5(f366(f400(a556,x23971),x23972))+P5(f458(f460(a550,f434(a348,x23971)),f434(a348,x23972))) % 3.71/3.77 [2398]~P5(f406(a349,x23982))+~P5(f406(f422(a560,x23981),x23982))+P5(f458(f460(a550,f429(a337,x23981)),f429(a337,x23982))) % 3.71/3.77 [2399]~P5(f427(a344,x23992))+~P5(f427(f385(a555,x23991),x23992))+P5(f458(f460(a550,f409(a338,x23991)),f409(a338,x23992))) % 3.71/3.77 [2400]~P5(f420(a357,x24002))+~P5(f420(f376(a554,x24001),x24002))+P5(f458(f460(a550,f412(a351,x24001)),f412(a351,x24002))) % 3.71/3.77 [2401]~P5(f394(a356,x24012))+~P5(f394(f413(a553,x24011),x24012))+P5(f458(f460(a550,f436(a352,x24011)),f436(a352,x24012))) % 3.71/3.77 [1803]~P5(f458(x18031,x18032))+P5(f458(x18031,a1))+P5(f458(x18031,f362(a571,f189(x18031)))) % 3.71/3.77 [1940]~P5(f365(a355,x19402))+E(f435(a354,f426(f478(a529,x19401),x19402)),f362(a571,f435(a354,x19402)))+P5(f365(f471(a526,x19401),x19402)) % 3.71/3.77 [1942]~P5(f364(a318,x19422))+E(f442(a353,f401(f369(a518,x19421),x19422)),f362(a571,f442(a353,x19422)))+P5(f364(f372(a530,x19421),x19422)) % 3.71/3.77 [1944]~P5(f395(a335,x19442))+E(f423(a346,f407(f431(a524,x19441),x19442)),f362(a571,f423(a346,x19442)))+P5(f395(f433(a532,x19441),x19442)) % 3.71/3.77 [1946]~P5(f366(a345,x19462))+E(f434(a348,f388(f432(a525,x19461),x19462)),f362(a571,f434(a348,x19462)))+P5(f366(f408(a534,x19461),x19462)) % 3.71/3.77 [1948]~P5(f406(a349,x19482))+E(f429(a337,f428(f389(a522,x19481),x19482)),f362(a571,f429(a337,x19482)))+P5(f406(f430(a531,x19481),x19482)) % 3.71/3.77 [1950]~P5(f427(a344,x19502))+E(f409(a338,f410(f391(a523,x19501),x19502)),f362(a571,f409(a338,x19502)))+P5(f427(f416(a533,x19501),x19502)) % 3.71/3.77 [1952]~P5(f420(a357,x19522))+E(f412(a351,f425(f461(a516,x19521),x19522)),f362(a571,f412(a351,x19522)))+P5(f420(f462(a527,x19521),x19522)) % 3.71/3.77 [1954]~P5(f394(a356,x19542))+E(f436(a352,f402(f441(a517,x19541),x19542)),f362(a571,f436(a352,x19542)))+P5(f394(f445(a528,x19541),x19542)) % 3.71/3.77 [1999]~P5(f458(x19991,x19992))+P5(f458(x19991,a1))+P5(f458(f460(a550,f181(x19992,x19991)),x19992)) % 3.71/3.77 [2000]~P5(f458(x20001,x20002))+P5(f458(x20001,a1))+P5(f458(f460(a549,f183(x20002,x20001)),x20002)) % 3.71/3.77 [2015]~P5(f394(a356,x20152))+~P5(f394(a356,x20151))+P5(f394(a356,f84(f31(a326,x20151),x20152))) % 3.71/3.77 [2017]~P5(f420(a357,x20172))+~P5(f420(a357,x20171))+P5(f420(a357,f85(f23(a326,x20171),x20172))) % 3.71/3.77 [2018]~P5(f449(x20181,x20182))+~P5(f449(f443(a551,a11),x20182))+P5(f449(x20181,f363(a570,f215(x20181)))) % 3.71/3.77 [2019]~P5(f365(a355,x20192))+E(f435(a354,f426(f478(a529,x20191),x20192)),f435(a354,x20192))+~P5(f365(f471(a526,x20191),x20192)) % 3.71/3.77 [2020]~P5(f364(a318,x20202))+E(f442(a353,f401(f369(a518,x20201),x20202)),f442(a353,x20202))+~P5(f364(f372(a530,x20201),x20202)) % 3.71/3.77 [2021]~P5(f395(a335,x20212))+E(f423(a346,f407(f431(a524,x20211),x20212)),f423(a346,x20212))+~P5(f395(f433(a532,x20211),x20212)) % 3.71/3.77 [2022]~P5(f366(a345,x20222))+E(f434(a348,f388(f432(a525,x20221),x20222)),f434(a348,x20222))+~P5(f366(f408(a534,x20221),x20222)) % 3.71/3.77 [2023]~P5(f406(a349,x20232))+E(f429(a337,f428(f389(a522,x20231),x20232)),f429(a337,x20232))+~P5(f406(f430(a531,x20231),x20232)) % 3.71/3.77 [2024]~P5(f427(a344,x20242))+E(f409(a338,f410(f391(a523,x20241),x20242)),f409(a338,x20242))+~P5(f427(f416(a533,x20241),x20242)) % 3.71/3.77 [2025]~P5(f420(a357,x20252))+E(f412(a351,f425(f461(a516,x20251),x20252)),f412(a351,x20252))+~P5(f420(f462(a527,x20251),x20252)) % 3.71/3.77 [2026]~P5(f394(a356,x20262))+E(f436(a352,f402(f441(a517,x20261),x20262)),f436(a352,x20262))+~P5(f394(f445(a528,x20261),x20262)) % 3.71/3.77 [2110]P5(f449(x21101,x21102))+~P5(f449(f443(a551,a11),x21102))+~P5(f449(x21101,f363(a570,f216(x21101)))) % 3.71/3.77 [2112]E(f362(a571,x21121),x21122)+~P5(f458(f460(a549,x21121),x21122))+P5(f458(f460(a549,f362(a571,x21121)),x21122)) % 3.71/3.77 [2156]E(f84(f31(a325,f443(a551,a11)),x21561),f84(f31(a325,f443(a551,a11)),x21562))+P5(f449(x21562,f195(x21562,x21561)))+P5(f449(x21561,f195(x21562,x21561))) % 3.71/3.77 [2178]P5(f365(a355,x21781))+~P5(f364(a318,f514(x21782,x21781)))+P5(f365(f471(a526,f227(x21782,x21781)),x21781)) % 3.71/3.77 [2179]P5(f394(a356,x21791))+~P5(f364(a318,f465(x21792,x21791)))+P5(f394(f445(a528,f228(x21792,x21791)),x21791)) % 3.71/3.77 [2180]P5(f394(a356,x21801))+~P5(f395(a335,f491(x21802,x21801)))+P5(f394(f445(a528,f274(x21802,x21801)),x21801)) % 3.71/3.77 [2181]P5(f394(a356,x21811))+~P5(f366(a345,f499(x21812,x21811)))+P5(f394(f445(a528,f275(x21812,x21811)),x21811)) % 3.71/3.77 [2182]P5(f394(a356,x21821))+~P5(f406(a349,f495(x21822,x21821)))+P5(f394(f445(a528,f276(x21822,x21821)),x21821)) % 3.71/3.77 [2183]P5(f394(a356,x21831))+~P5(f427(a344,f512(x21832,x21831)))+P5(f394(f445(a528,f278(x21832,x21831)),x21831)) % 3.71/3.77 [2184]P5(f420(a357,x21841))+~P5(f395(a335,f486(x21842,x21841)))+P5(f420(f462(a527,f229(x21842,x21841)),x21841)) % 3.71/3.77 [2185]P5(f420(a357,x21851))+~P5(f366(a345,f493(x21852,x21851)))+P5(f420(f462(a527,f271(x21852,x21851)),x21851)) % 3.71/3.77 [2186]P5(f420(a357,x21861))+~P5(f406(a349,f469(x21862,x21861)))+P5(f420(f462(a527,f272(x21862,x21861)),x21861)) % 3.71/3.77 [2187]P5(f420(a357,x21871))+~P5(f427(a344,f513(x21872,x21871)))+P5(f420(f462(a527,f273(x21872,x21871)),x21871)) % 3.71/3.77 [2188]P5(f420(a357,x21881))+~P5(f394(a356,f361(x21882,x21881)))+P5(f420(f462(a527,f280(x21882,x21881)),x21881)) % 3.71/3.77 [2203]~P1(x22032)+E(f401(f396(a535,f401(f369(a518,x22031),x22032)),f401(f369(a518,x22031),a4)),x22032)+P5(f364(f372(a530,x22031),x22032)) % 3.71/3.77 [2204]~P7(x22042)+E(f426(f386(a538,f426(f478(a529,x22041),x22042)),f426(f478(a529,x22041),a5)),x22042)+P5(f365(f471(a526,x22041),x22042)) % 3.71/3.77 [2225]P5(f365(a355,x22251))+~P5(f365(a355,x22252))+~P5(f365(a355,f426(f386(a538,x22251),x22252))) % 3.71/3.77 [2226]P5(f394(a356,x22261))+~P5(f394(a356,x22262))+~P5(f394(a356,f402(f368(a536,x22261),x22262))) % 3.71/3.77 [2227]P5(f420(a357,x22271))+~P5(f420(a357,x22272))+~P5(f420(a357,f425(f397(a539,x22271),x22272))) % 3.71/3.77 [2288]~P5(f365(a355,x22882))+E(f362(f464(a540,f435(a354,x22881)),f435(a354,x22882)),f435(a354,f426(f386(a538,x22881),x22882)))+~P5(f365(f419(a557,x22882),x22881)) % 3.71/3.77 [2289]~P5(f364(a318,x22892))+E(f362(f464(a540,f442(a353,x22891)),f442(a353,x22892)),f442(a353,f401(f396(a535,x22891),x22892)))+~P5(f364(f392(a552,x22892),x22891)) % 3.71/3.77 [2290]~P5(f420(a357,x22902))+E(f362(f464(a540,f412(a351,x22901)),f412(a351,x22902)),f412(a351,f425(f397(a539,x22901),x22902)))+~P5(f420(f376(a554,x22902),x22901)) % 3.71/3.77 [2291]~P5(f394(a356,x22912))+E(f362(f464(a540,f436(a352,x22911)),f436(a352,x22912)),f436(a352,f402(f368(a536,x22911),x22912)))+~P5(f394(f413(a553,x22912),x22911)) % 3.71/3.77 [2310]P5(f458(x23101,x23102))+~P5(f458(x23101,a1))+~P5(f458(x23101,f362(a571,f192(x23102,x23101)))) % 3.71/3.77 [2365]E(x23651,a1)+~P5(f458(f460(a549,x23651),f362(a571,x23652)))+P5(f458(f460(a549,f182(x23651,x23652)),x23652)) % 3.71/3.77 [2366]E(x23661,a3)+E(x23661,f402(f441(a517,x23662),a3))+~P5(f394(f413(a553,x23661),f402(f441(a517,x23662),a3))) % 3.71/3.77 [2367]E(x23671,a10)+E(x23671,f425(f461(a516,x23672),a10))+~P5(f420(f376(a554,x23671),f425(f461(a516,x23672),a10))) % 3.71/3.77 [2448]E(f84(f31(a325,f443(a551,a11)),x24481),f84(f31(a325,f443(a551,a11)),x24482))+~P5(f449(x24482,f195(x24482,x24481)))+~P5(f449(x24481,f195(x24482,x24481))) % 3.71/3.77 [2449]E(x24491,x24492)+P5(f449(f443(a563,x24491),x24492))+~P5(f449(f443(a563,x24491),f454(f453(a568,x24492),a548))) % 3.71/3.77 [2488]~P5(f449(f443(a551,a11),x24882))+~P5(f449(f443(a551,a11),x24881))+P5(f449(f443(a551,a11),f454(f453(a568,x24881),x24882))) % 3.71/3.77 [2489]~P5(f449(f443(a551,a11),x24892))+~P5(f449(f443(a551,a11),x24891))+P5(f449(f443(a551,a11),f454(f453(a573,x24891),x24892))) % 3.71/3.77 [2490]~P5(f449(f443(a551,a11),x24902))+~P5(f449(f443(a551,a11),x24901))+P5(f449(f443(a551,a11),f454(f453(a545,x24901),x24902))) % 3.71/3.77 [2491]~P5(f458(f460(a549,a1),x24912))+~P5(f458(f460(a549,a1),x24911))+P5(f458(f460(a549,a1),f362(f464(a572,x24911),x24912))) % 3.71/3.77 [2553]P5(f458(f460(a549,a1),x25531))+P5(f458(f460(a549,a1),x25532))+~P5(f458(f460(a549,a1),f362(f464(a567,x25532),x25531))) % 3.71/3.77 [2756]~P5(f458(f460(a549,f362(a571,a1)),x27561))+~P5(f458(f460(a549,f362(a571,a1)),x27562))+P5(f458(f460(a549,x27561),f362(f464(a572,x27562),x27561))) % 3.71/3.77 [2757]~P5(f458(f460(a549,f362(a571,a1)),x27571))+~P5(f458(f460(a549,f362(a571,a1)),x27572))+P5(f458(f460(a549,x27571),f362(f464(a572,x27571),x27572))) % 3.71/3.77 [2847]~P5(f458(f460(a550,f362(a571,a1)),x28471))+~P5(f458(f460(a550,f362(a571,a1)),x28472))+P5(f458(f460(a550,f362(a571,a1)),f362(f464(a572,x28471),x28472))) % 3.71/3.77 [2848]~P5(f458(f460(a549,f362(a571,a1)),x28482))+~P5(f458(f460(a549,f362(a571,a1)),x28481))+P5(f458(f460(a549,f362(a571,a1)),f362(f464(a572,x28481),x28482))) % 3.71/3.77 [2085]~P5(f588(x20852))+P8(f303(x20851,x20852))+P5(f364(f564(x20851),f401(f369(a518,f360(x20852)),a4))) % 3.71/3.77 [2292]~P5(f365(a355,x22921))+P5(f365(f471(a526,x22922),x22921))+E(f435(a354,f426(f386(a538,x22921),f426(f478(a529,x22922),a5))),f435(a354,x22921)) % 3.71/3.77 [2293]~P5(f364(a318,x22931))+P5(f364(f372(a530,x22932),x22931))+E(f442(a353,f401(f396(a535,x22931),f401(f369(a518,x22932),a4))),f442(a353,x22931)) % 3.71/3.77 [2294]~P5(f420(a357,x22941))+P5(f420(f462(a527,x22942),x22941))+E(f412(a351,f425(f397(a539,x22941),f425(f461(a516,x22942),a10))),f412(a351,x22941)) % 3.71/3.77 [2295]~P5(f394(a356,x22951))+P5(f394(f445(a528,x22952),x22951))+E(f436(a352,f402(f368(a536,x22951),f402(f441(a517,x22952),a3))),f436(a352,x22951)) % 3.71/3.77 [2392]~P1(x23922)+E(f401(f369(a518,x23921),f401(f396(a535,x23922),f401(f369(a518,x23921),a4))),x23922)+~P5(f364(f372(a530,x23921),x23922)) % 3.71/3.77 [2393]~P7(x23932)+E(f426(f478(a529,x23931),f426(f386(a538,x23932),f426(f478(a529,x23931),a5))),x23932)+~P5(f365(f471(a526,x23931),x23932)) % 3.71/3.77 [2481]~P5(f588(x24812))+P5(f365(f471(a526,f303(x24811,x24812)),a565))+P5(f364(f564(x24811),f401(f369(a518,f360(x24812)),a4))) % 3.71/3.77 [2498]~P5(f458(x24981,x24982))+P5(f458(x24981,a1))+P5(f458(x24981,f362(f464(a567,f183(x24982,x24981)),a547))) % 3.71/3.77 [2499]~P5(f364(a318,f76(x24992)))+~P5(f364(a318,f76(x24991)))+P5(f364(a318,f76(f78(f36(a326,x24991),x24992)))) % 3.71/3.77 [2500]~P5(f365(a355,f92(x25002)))+~P5(f365(a355,f92(x25001)))+P5(f365(a355,f92(f79(f45(a326,x25001),x25002)))) % 3.71/3.77 [2501]~P5(f427(a344,f93(x25012)))+~P5(f427(a344,f93(x25011)))+P5(f427(a344,f93(f80(f39(a326,x25011),x25012)))) % 3.71/3.77 [2502]~P5(f406(a349,f86(x25022)))+~P5(f406(a349,f86(x25021)))+P5(f406(a349,f86(f81(f38(a326,x25021),x25022)))) % 3.71/3.77 [2503]~P5(f395(a335,f94(x25032)))+~P5(f395(a335,f94(x25031)))+P5(f395(a335,f94(f82(f37(a326,x25031),x25032)))) % 3.71/3.77 [2504]~P5(f366(a345,f95(x25042)))+~P5(f366(a345,f95(x25041)))+P5(f366(a345,f95(f83(f42(a326,x25041),x25042)))) % 3.71/3.77 [2542]~P5(f365(a355,x25421))+~P5(f365(f471(a526,x25422),x25421))+E(f435(a354,f426(f386(a538,x25421),f426(f478(a529,x25422),a5))),f362(f464(a540,f435(a354,x25421)),a547)) % 3.71/3.77 [2544]~P5(f364(a318,x25441))+~P5(f364(f372(a530,x25442),x25441))+E(f442(a353,f401(f396(a535,x25441),f401(f369(a518,x25442),a4))),f362(f464(a540,f442(a353,x25441)),a547)) % 3.71/3.77 [2546]~P5(f420(a357,x25461))+~P5(f420(f462(a527,x25462),x25461))+E(f412(a351,f425(f397(a539,x25461),f425(f461(a516,x25462),a10))),f362(f464(a540,f412(a351,x25461)),a547)) % 3.71/3.77 [2548]~P5(f394(a356,x25481))+~P5(f394(f445(a528,x25482),x25481))+E(f436(a352,f402(f368(a536,x25481),f402(f441(a517,x25482),a3))),f362(f464(a540,f436(a352,x25481)),a547)) % 3.71/3.77 [2669]~P5(f458(f460(a549,a1),x26691))+~P5(f458(f460(a549,a1),x26692))+P5(f458(f460(a549,f362(f464(a540,x26691),x26692)),x26691)) % 3.71/3.77 [2708]~P5(f365(a355,x27081))+~P5(f365(f471(a526,x27082),x27081))+E(f362(a571,f435(a354,f426(f386(a538,x27081),f426(f478(a529,x27082),a5)))),f435(a354,x27081)) % 3.71/3.77 [2709]~P5(f364(a318,x27091))+~P5(f364(f372(a530,x27092),x27091))+E(f362(a571,f442(a353,f401(f396(a535,x27091),f401(f369(a518,x27092),a4)))),f442(a353,x27091)) % 3.71/3.77 [2710]~P5(f420(a357,x27101))+~P5(f420(f462(a527,x27102),x27101))+E(f362(a571,f412(a351,f425(f397(a539,x27101),f425(f461(a516,x27102),a10)))),f412(a351,x27101)) % 3.71/3.77 [2711]~P5(f394(a356,x27111))+~P5(f394(f445(a528,x27112),x27111))+E(f362(a571,f436(a352,f402(f368(a536,x27111),f402(f441(a517,x27112),a3)))),f436(a352,x27111)) % 3.71/3.77 [2729]~P5(f365(a355,x27291))+~P5(f365(f471(a526,x27292),x27291))+E(f362(f464(a567,a547),f435(a354,f426(f386(a538,x27291),f426(f478(a529,x27292),a5)))),f435(a354,x27291)) % 3.71/3.77 [2730]~P5(f364(a318,x27301))+~P5(f364(f372(a530,x27302),x27301))+E(f362(f464(a567,a547),f442(a353,f401(f396(a535,x27301),f401(f369(a518,x27302),a4)))),f442(a353,x27301)) % 3.71/3.77 [2731]~P5(f420(a357,x27311))+~P5(f420(f462(a527,x27312),x27311))+E(f362(f464(a567,a547),f412(a351,f425(f397(a539,x27311),f425(f461(a516,x27312),a10)))),f412(a351,x27311)) % 3.71/3.77 [2732]~P5(f394(a356,x27321))+~P5(f394(f445(a528,x27322),x27321))+E(f362(f464(a567,a547),f436(a352,f402(f368(a536,x27321),f402(f441(a517,x27322),a3)))),f436(a352,x27321)) % 3.71/3.77 [2943]~P5(f588(x29432))+P5(f364(f564(x29431),f401(f369(a518,f360(x29432)),a4)))+~P5(f364(f564(x29431),f401(f369(a518,f475(a537,f303(x29431,x29432))),a4))) % 3.71/3.77 [3002]P5(f394(a356,x30021))+~P5(f364(a318,f465(x30022,x30021)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30021)),f380(f71(f32(a324,x30022)),f450(x30022,f228(x30022,x30021)))))) % 3.71/3.77 [3003]P5(f394(a356,x30031))+~P5(f427(a344,f512(x30032,x30031)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30031)),f405(f55(f33(a328,x30032)),f438(x30032,f278(x30032,x30031)))))) % 3.71/3.77 [3004]P5(f394(a356,x30041))+~P5(f406(a349,f495(x30042,x30041)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30041)),f421(f60(f40(a327,x30042)),f439(x30042,f276(x30042,x30041)))))) % 3.71/3.77 [3005]P5(f394(a356,x30051))+~P5(f395(a335,f491(x30052,x30051)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30051)),f402(f66(f29(a330,x30052)),f443(x30052,f274(x30052,x30051)))))) % 3.71/3.77 [3006]P5(f394(a356,x30061))+~P5(f366(a345,f499(x30062,x30061)))+~P5(f394(a356,f84(f31(a325,f402(f66(a528),x30061)),f404(f54(f41(a329,x30062)),f447(x30062,f275(x30062,x30061)))))) % 3.71/3.77 [3007]P5(f420(a357,x30071))+~P5(f394(a356,f361(x30072,x30071)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30071)),f447(f72(f30(a323,x30072)),f363(x30072,f280(x30072,x30071)))))) % 3.71/3.77 [3008]P5(f420(a357,x30081))+~P5(f427(a344,f513(x30082,x30081)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30081)),f415(f62(f28(a328,x30082)),f451(x30082,f273(x30082,x30081)))))) % 3.71/3.77 [3009]P5(f420(a357,x30091))+~P5(f406(a349,f469(x30092,x30091)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30091)),f382(f63(f34(a327,x30092)),f452(x30092,f272(x30092,x30091)))))) % 3.71/3.77 [3010]P5(f420(a357,x30101))+~P5(f395(a335,f486(x30102,x30101)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30101)),f414(f67(f24(a330,x30102)),f457(x30102,f229(x30102,x30101)))))) % 3.71/3.77 [3011]P5(f420(a357,x30111))+~P5(f366(a345,f493(x30112,x30111)))+~P5(f420(a357,f85(f23(a325,f425(f61(a527),x30111)),f425(f61(f35(a329,x30112)),f460(x30112,f271(x30112,x30111)))))) % 3.71/3.77 [3038]P5(f365(a355,x30381))+~P5(f364(a318,f514(x30382,x30381)))+~P5(f365(a355,f92(f79(f45(a325,f426(f51(a526),x30381)),f373(f73(f26(a324,x30382)),f475(x30382,f227(x30382,x30381))))))) % 3.71/3.77 [1642]E(x16421,x16422)+E(x16423,a1)+~E(f362(f464(a572,x16423),x16421),f362(f464(a572,x16423),x16422)) % 3.71/3.77 [1643]E(x16431,x16432)+E(x16433,a1)+~E(f362(f464(a572,x16431),x16433),f362(f464(a572,x16432),x16433)) % 3.71/3.77 [1717]~E(x17171,f402(f441(a517,x17172),x17173))+~P5(f394(a356,x17173))+P5(f394(a356,x17171)) % 3.71/3.77 [1718]~E(x17181,f425(f461(a516,x17182),x17183))+~P5(f420(a357,x17183))+P5(f420(a357,x17181)) % 3.71/3.77 [1738]~E(x17383,a3)+~E(x17383,f402(f441(a517,x17381),x17382))+P5(f394(f445(a528,x17381),x17382)) % 3.71/3.77 [1739]~E(x17393,a10)+~E(x17393,f425(f461(a516,x17391),x17392))+P5(f420(f462(a527,x17391),x17392)) % 3.71/3.77 [1913]~E(f362(f464(a540,x19131),x19133),x19132)+E(x19131,f362(f464(a567,x19132),x19133))+~P5(f458(f460(a550,x19133),x19131)) % 3.71/3.77 [1914]~E(x19141,f362(f464(a567,x19143),x19142))+E(f362(f464(a540,x19141),x19142),x19143)+~P5(f458(f460(a550,x19142),x19141)) % 3.71/3.77 [1924]E(x19241,x19242)+~E(f362(f464(a572,x19243),x19241),f362(f464(a572,x19243),x19242))+~P5(f458(f460(a549,a1),x19243)) % 3.71/3.77 [2030]~E(x20301,f362(a571,x20303))+~P5(f458(f460(a549,x20303),x20302))+P5(f458(f460(a549,x20301),f362(a571,x20302))) % 3.71/3.77 [2045]P5(f364(a318,x20451))+~P5(f364(a318,x20452))+~P5(f364(f392(a552,x20451),f496(x20453,x20452))) % 3.71/3.77 [2046]P5(f364(a318,x20461))+~P5(f365(a355,x20462))+~P5(f364(f392(a552,x20461),f514(x20463,x20462))) % 3.71/3.77 [2047]P5(f364(a318,x20471))+~P5(f394(a356,x20472))+~P5(f364(f392(a552,x20471),f465(x20473,x20472))) % 3.71/3.77 [2048]P5(f364(a318,x20481))+~P5(f420(a357,x20482))+~P5(f364(f392(a552,x20481),f510(x20483,x20482))) % 3.71/3.77 [2049]P5(f364(a318,x20491))+~P5(f427(a344,x20492))+~P5(f364(f392(a552,x20491),f500(x20493,x20492))) % 3.71/3.77 [2050]P5(f364(a318,x20501))+~P5(f406(a349,x20502))+~P5(f364(f392(a552,x20501),f497(x20503,x20502))) % 3.71/3.77 [2051]P5(f364(a318,x20511))+~P5(f395(a335,x20512))+~P5(f364(f392(a552,x20511),f466(x20513,x20512))) % 3.71/3.77 [2052]P5(f364(a318,x20521))+~P5(f366(a345,x20522))+~P5(f364(f392(a552,x20521),f509(x20523,x20522))) % 3.71/3.77 [2053]P5(f365(a355,x20531))+~P5(f364(a318,x20532))+~P5(f365(f419(a557,x20531),f501(x20533,x20532))) % 3.71/3.77 [2054]P5(f365(a355,x20541))+~P5(f365(a355,x20542))+~P5(f365(f419(a557,x20541),f519(x20543,x20542))) % 3.71/3.77 [2055]P5(f365(a355,x20551))+~P5(f394(a356,x20552))+~P5(f365(f419(a557,x20551),f511(x20553,x20552))) % 3.71/3.77 [2056]P5(f365(a355,x20561))+~P5(f420(a357,x20562))+~P5(f365(f419(a557,x20561),f515(x20563,x20562))) % 3.71/3.77 [2057]P5(f365(a355,x20571))+~P5(f427(a344,x20572))+~P5(f365(f419(a557,x20571),f487(x20573,x20572))) % 3.71/3.77 [2058]P5(f365(a355,x20581))+~P5(f406(a349,x20582))+~P5(f365(f419(a557,x20581),f480(x20583,x20582))) % 3.71/3.77 [2059]P5(f365(a355,x20591))+~P5(f395(a335,x20592))+~P5(f365(f419(a557,x20591),f467(x20593,x20592))) % 3.71/3.77 [2060]P5(f365(a355,x20601))+~P5(f366(a345,x20602))+~P5(f365(f419(a557,x20601),f468(x20603,x20602))) % 3.71/3.77 [2061]P5(f394(a356,x20611))+~P5(f364(a318,x20612))+~P5(f394(f413(a553,x20611),f503(x20613,x20612))) % 3.71/3.77 [2062]P5(f394(a356,x20621))+~P5(f420(a357,x20622))+~P5(f394(f413(a553,x20621),f361(x20623,x20622))) % 3.71/3.77 [2063]P5(f394(a356,x20631))+~P5(f427(a344,x20632))+~P5(f394(f413(a553,x20631),f507(x20633,x20632))) % 3.71/3.77 [2064]P5(f394(a356,x20641))+~P5(f406(a349,x20642))+~P5(f394(f413(a553,x20641),f490(x20643,x20642))) % 3.71/3.77 [2065]P5(f394(a356,x20651))+~P5(f395(a335,x20652))+~P5(f394(f413(a553,x20651),f489(x20653,x20652))) % 3.71/3.77 [2066]P5(f394(a356,x20661))+~P5(f366(a345,x20662))+~P5(f394(f413(a553,x20661),f482(x20663,x20662))) % 3.71/3.77 [2067]P5(f420(a357,x20671))+~P5(f364(a318,x20672))+~P5(f420(f376(a554,x20671),f506(x20673,x20672))) % 3.71/3.77 [2068]P5(f420(a357,x20681))+~P5(f427(a344,x20682))+~P5(f420(f376(a554,x20681),f508(x20683,x20682))) % 3.71/3.77 [2069]P5(f420(a357,x20691))+~P5(f406(a349,x20692))+~P5(f420(f376(a554,x20691),f484(x20693,x20692))) % 3.71/3.77 [2070]P5(f420(a357,x20701))+~P5(f395(a335,x20702))+~P5(f420(f376(a554,x20701),f483(x20703,x20702))) % 3.71/3.77 [2071]P5(f420(a357,x20711))+~P5(f366(a345,x20712))+~P5(f420(f376(a554,x20711),f494(x20713,x20712))) % 3.71/3.77 [2072]P5(f427(a344,x20721))+~P5(f365(a355,x20722))+~P5(f427(f385(a555,x20721),f481(x20723,x20722))) % 3.71/3.77 [2073]P5(f427(a344,x20731))+~P5(f394(a356,x20732))+~P5(f427(f385(a555,x20731),f512(x20733,x20732))) % 3.71/3.77 [2074]P5(f427(a344,x20741))+~P5(f420(a357,x20742))+~P5(f427(f385(a555,x20741),f513(x20743,x20742))) % 3.71/3.77 [2075]P5(f406(a349,x20751))+~P5(f365(a355,x20752))+~P5(f406(f422(a560,x20751),f488(x20753,x20752))) % 3.71/3.77 [2076]P5(f406(a349,x20761))+~P5(f394(a356,x20762))+~P5(f406(f422(a560,x20761),f495(x20763,x20762))) % 3.71/3.77 [2077]P5(f406(a349,x20771))+~P5(f420(a357,x20772))+~P5(f406(f422(a560,x20771),f469(x20773,x20772))) % 3.71/3.77 [2078]P5(f395(a335,x20781))+~P5(f365(a355,x20782))+~P5(f395(f418(a558,x20781),f485(x20783,x20782))) % 3.71/3.77 [2079]P5(f395(a335,x20791))+~P5(f394(a356,x20792))+~P5(f395(f418(a558,x20791),f491(x20793,x20792))) % 3.71/3.77 [2080]P5(f395(a335,x20801))+~P5(f420(a357,x20802))+~P5(f395(f418(a558,x20801),f486(x20803,x20802))) % 3.71/3.77 [2081]P5(f366(a345,x20811))+~P5(f365(a355,x20812))+~P5(f366(f400(a556,x20811),f492(x20813,x20812))) % 3.71/3.77 [2082]P5(f366(a345,x20821))+~P5(f394(a356,x20822))+~P5(f366(f400(a556,x20821),f499(x20823,x20822))) % 3.71/3.77 [2083]P5(f366(a345,x20831))+~P5(f420(a357,x20832))+~P5(f366(f400(a556,x20831),f493(x20833,x20832))) % 3.71/3.77 [2127]~P5(f449(f443(a551,x21271),x21273))+P5(f449(f443(a551,x21271),x21272))+~P5(f449(f443(a551,x21273),x21272)) % 3.71/3.77 [2130]~P5(f458(f460(a550,x21301),x21303))+P5(f458(f460(a550,x21301),x21302))+~P5(f458(f460(a550,x21303),x21302)) % 3.71/3.77 [2134]~P5(f364(f372(a530,x21341),x21343))+~P5(f364(f392(a552,x21343),x21342))+P5(f364(f372(a530,x21341),x21342)) % 3.71/3.77 [2137]~P5(f364(f392(a552,x21371),x21373))+P5(f364(f392(a552,x21371),x21372))+~P5(f364(f392(a552,x21373),x21372)) % 3.71/3.77 [2141]~P5(f365(f471(a526,x21411),x21413))+~P5(f365(f419(a557,x21413),x21412))+P5(f365(f471(a526,x21411),x21412)) % 3.71/3.77 [2144]~P5(f394(f413(a553,x21441),x21443))+P5(f394(f413(a553,x21441),x21442))+~P5(f394(f413(a553,x21443),x21442)) % 3.71/3.77 [2148]~P5(f394(f445(a528,x21481),x21483))+P5(f394(f445(a528,x21481),x21482))+~P5(f394(f413(a553,x21483),x21482)) % 3.71/3.77 [2151]~P5(f420(f376(a554,x21511),x21513))+P5(f420(f376(a554,x21511),x21512))+~P5(f420(f376(a554,x21513),x21512)) % 3.71/3.77 [2155]~P5(f420(f462(a527,x21551),x21553))+P5(f420(f462(a527,x21551),x21552))+~P5(f420(f376(a554,x21553),x21552)) % 3.71/3.77 [2157]~P1(x21571)+P7(f289(x21571,x21572,x21573))+~P5(f364(f392(a552,x21571),f514(x21572,x21573))) % 3.71/3.77 [2158]~P4(x21581)+P8(f282(x21581,x21582,x21583))+~P5(f364(f372(a530,x21581),f514(x21582,x21583))) % 3.71/3.77 [2159]~P4(x21591)+P8(f291(x21591,x21592,x21593))+~P5(f364(f372(a530,x21591),f514(x21592,x21593))) % 3.71/3.77 [2175]~P1(x21752)+E(f514(x21751,f289(x21752,x21751,x21753)),x21752)+~P5(f364(f392(a552,x21752),f514(x21751,x21753))) % 3.71/3.77 [2176]~P4(x21762)+E(f475(x21761,f282(x21762,x21761,x21763)),x21762)+~P5(f364(f372(a530,x21762),f514(x21761,x21763))) % 3.71/3.77 [2177]~P4(x21772)+E(f475(x21771,f291(x21772,x21771,x21773)),x21772)+~P5(f364(f372(a530,x21772),f514(x21771,x21773))) % 3.71/3.77 [2298]P1(f284(x22981,x22982,x22983))+~P5(f395(a335,x22983))+~P5(f395(f418(a558,x22983),f504(x22981,x22982))) % 3.71/3.77 [2299]P1(f297(x22991,x22992,x22993))+~P5(f366(a345,x22993))+~P5(f366(f400(a556,x22993),f505(x22991,x22992))) % 3.71/3.77 [2300]P1(f165(x23001,x23002,x23003))+~P5(f420(a357,x23003))+~P5(f420(f376(a554,x23003),f506(x23001,x23002))) % 3.71/3.77 [2301]P1(f230(x23011,x23012,x23013))+~P5(f394(a356,x23013))+~P5(f394(f413(a553,x23013),f503(x23011,x23012))) % 3.71/3.77 [2302]P7(f218(x23021,x23022,x23023))+~P5(f420(a357,x23023))+~P5(f420(f376(a554,x23023),f520(x23021,x23022))) % 3.71/3.77 [2303]P7(f235(x23031,x23032,x23033))+~P5(f394(a356,x23033))+~P5(f394(f413(a553,x23033),f521(x23031,x23032))) % 3.71/3.77 [2304]P7(f242(x23041,x23042,x23043))+~P5(f395(a335,x23043))+~P5(f395(f418(a558,x23043),f485(x23041,x23042))) % 3.71/3.77 [2305]P7(f243(x23051,x23052,x23053))+~P5(f366(a345,x23053))+~P5(f366(f400(a556,x23053),f492(x23051,x23052))) % 3.71/3.77 [2306]P2(f201(x23061,x23062,x23063))+~P5(f420(a357,x23063))+~P5(f420(f376(a554,x23063),f508(x23061,x23062))) % 3.71/3.77 [2307]P2(f236(x23071,x23072,x23073))+~P5(f394(a356,x23073))+~P5(f394(f413(a553,x23073),f507(x23071,x23072))) % 3.71/3.77 [2308]P6(f196(x23081,x23082,x23083))+~P5(f420(a357,x23083))+~P5(f420(f376(a554,x23083),f484(x23081,x23082))) % 3.71/3.77 [2309]P6(f237(x23091,x23092,x23093))+~P5(f394(a356,x23093))+~P5(f394(f413(a553,x23093),f490(x23091,x23092))) % 3.71/3.77 [2342]E(f485(x23421,f242(x23421,x23422,x23423)),x23423)+~P5(f395(a335,x23423))+~P5(f395(f418(a558,x23423),f485(x23421,x23422))) % 3.71/3.77 [2343]E(f492(x23431,f243(x23431,x23432,x23433)),x23433)+~P5(f366(a345,x23433))+~P5(f366(f400(a556,x23433),f492(x23431,x23432))) % 3.71/3.77 [2344]E(f486(x23441,f250(x23441,x23442,x23443)),x23443)+~P5(f395(a335,x23443))+~P5(f395(f418(a558,x23443),f486(x23441,x23442))) % 3.71/3.77 [2345]E(f493(x23451,f252(x23451,x23452,x23453)),x23453)+~P5(f366(a345,x23453))+~P5(f366(f400(a556,x23453),f493(x23451,x23452))) % 3.71/3.77 [2346]E(f491(x23461,f253(x23461,x23462,x23463)),x23463)+~P5(f395(a335,x23463))+~P5(f395(f418(a558,x23463),f491(x23461,x23462))) % 3.71/3.77 [2347]E(f499(x23471,f258(x23471,x23472,x23473)),x23473)+~P5(f366(a345,x23473))+~P5(f366(f400(a556,x23473),f499(x23471,x23472))) % 3.71/3.77 [2348]E(f506(x23481,f165(x23481,x23482,x23483)),x23483)+~P5(f420(a357,x23483))+~P5(f420(f376(a554,x23483),f506(x23481,x23482))) % 3.71/3.77 [2349]E(f483(x23491,f176(x23491,x23492,x23493)),x23493)+~P5(f420(a357,x23493))+~P5(f420(f376(a554,x23493),f483(x23491,x23492))) % 3.71/3.77 [2350]E(f494(x23501,f186(x23501,x23502,x23503)),x23503)+~P5(f420(a357,x23503))+~P5(f420(f376(a554,x23503),f494(x23501,x23502))) % 3.71/3.77 [2351]E(f484(x23511,f196(x23511,x23512,x23513)),x23513)+~P5(f420(a357,x23513))+~P5(f420(f376(a554,x23513),f484(x23511,x23512))) % 3.71/3.77 [2352]E(f508(x23521,f201(x23521,x23522,x23523)),x23523)+~P5(f420(a357,x23523))+~P5(f420(f376(a554,x23523),f508(x23521,x23522))) % 3.71/3.77 [2353]E(f503(x23531,f230(x23531,x23532,x23533)),x23533)+~P5(f394(a356,x23533))+~P5(f394(f413(a553,x23533),f503(x23531,x23532))) % 3.71/3.77 [2354]E(f489(x23541,f238(x23541,x23542,x23543)),x23543)+~P5(f394(a356,x23543))+~P5(f394(f413(a553,x23543),f489(x23541,x23542))) % 3.71/3.77 [2355]E(f482(x23551,f241(x23551,x23552,x23553)),x23553)+~P5(f394(a356,x23553))+~P5(f394(f413(a553,x23553),f482(x23551,x23552))) % 3.71/3.77 [2356]E(f490(x23561,f237(x23561,x23562,x23563)),x23563)+~P5(f394(a356,x23563))+~P5(f394(f413(a553,x23563),f490(x23561,x23562))) % 3.71/3.77 [2357]E(f507(x23571,f236(x23571,x23572,x23573)),x23573)+~P5(f394(a356,x23573))+~P5(f394(f413(a553,x23573),f507(x23571,x23572))) % 3.71/3.77 [2358]E(f361(x23581,f263(x23581,x23582,x23583)),x23583)+~P5(f394(a356,x23583))+~P5(f394(f413(a553,x23583),f361(x23581,x23582))) % 3.71/3.77 [2359]E(f520(x23591,f218(x23591,x23592,x23593)),x23593)+~P5(f420(a357,x23593))+~P5(f420(f376(a554,x23593),f520(x23591,x23592))) % 3.71/3.77 [2360]E(f521(x23601,f235(x23601,x23602,x23603)),x23603)+~P5(f394(a356,x23603))+~P5(f394(f413(a553,x23603),f521(x23601,x23602))) % 3.71/3.77 [2361]E(f504(x23611,f284(x23611,x23612,x23613)),x23613)+~P5(f395(a335,x23613))+~P5(f395(f418(a558,x23613),f504(x23611,x23612))) % 3.71/3.77 [2362]E(f505(x23621,f297(x23621,x23622,x23623)),x23623)+~P5(f366(a345,x23623))+~P5(f366(f400(a556,x23623),f505(x23621,x23622))) % 3.71/3.77 [2573]~P5(f395(a335,x25733))+~P5(f395(f418(a558,x25733),f504(x25731,x25732)))+P5(f364(a318,f284(x25731,x25732,x25733))) % 3.71/3.77 [2574]~P5(f366(a345,x25743))+~P5(f366(f400(a556,x25743),f505(x25741,x25742)))+P5(f364(a318,f297(x25741,x25742,x25743))) % 3.71/3.77 [2575]~P5(f420(a357,x25753))+~P5(f420(f376(a554,x25753),f506(x25751,x25752)))+P5(f364(a318,f165(x25751,x25752,x25753))) % 3.71/3.77 [2576]~P5(f394(a356,x25763))+~P5(f394(f413(a553,x25763),f503(x25761,x25762)))+P5(f364(a318,f230(x25761,x25762,x25763))) % 3.71/3.77 [2577]~P5(f420(a357,x25773))+~P5(f420(f376(a554,x25773),f520(x25771,x25772)))+P5(f365(a355,f218(x25771,x25772,x25773))) % 3.71/3.77 [2578]~P5(f394(a356,x25783))+~P5(f394(f413(a553,x25783),f521(x25781,x25782)))+P5(f365(a355,f235(x25781,x25782,x25783))) % 3.71/3.77 [2579]~P5(f395(a335,x25793))+~P5(f395(f418(a558,x25793),f485(x25791,x25792)))+P5(f365(a355,f242(x25791,x25792,x25793))) % 3.71/3.77 [2580]~P5(f366(a345,x25803))+~P5(f366(f400(a556,x25803),f492(x25801,x25802)))+P5(f365(a355,f243(x25801,x25802,x25803))) % 3.71/3.77 [2581]~P5(f395(a335,x25813))+~P5(f395(f418(a558,x25813),f491(x25811,x25812)))+P5(f394(a356,f253(x25811,x25812,x25813))) % 3.71/3.77 [2582]~P5(f366(a345,x25823))+~P5(f366(f400(a556,x25823),f499(x25821,x25822)))+P5(f394(a356,f258(x25821,x25822,x25823))) % 3.71/3.77 [2583]~P5(f395(a335,x25833))+~P5(f395(f418(a558,x25833),f486(x25831,x25832)))+P5(f420(a357,f250(x25831,x25832,x25833))) % 3.71/3.77 [2584]~P5(f366(a345,x25843))+~P5(f366(f400(a556,x25843),f493(x25841,x25842)))+P5(f420(a357,f252(x25841,x25842,x25843))) % 3.71/3.77 [2585]~P5(f394(a356,x25853))+~P5(f394(f413(a553,x25853),f361(x25851,x25852)))+P5(f420(a357,f263(x25851,x25852,x25853))) % 3.71/3.77 [2586]~P5(f420(a357,x25863))+~P5(f420(f376(a554,x25863),f508(x25861,x25862)))+P5(f427(a344,f201(x25861,x25862,x25863))) % 3.71/3.77 [2587]~P5(f394(a356,x25873))+~P5(f394(f413(a553,x25873),f507(x25871,x25872)))+P5(f427(a344,f236(x25871,x25872,x25873))) % 3.71/3.77 [2588]~P5(f420(a357,x25883))+~P5(f420(f376(a554,x25883),f484(x25881,x25882)))+P5(f406(a349,f196(x25881,x25882,x25883))) % 3.71/3.77 [2589]~P5(f394(a356,x25893))+~P5(f394(f413(a553,x25893),f490(x25891,x25892)))+P5(f406(a349,f237(x25891,x25892,x25893))) % 3.71/3.77 [2590]~P5(f420(a357,x25903))+~P5(f420(f376(a554,x25903),f483(x25901,x25902)))+P5(f395(a335,f176(x25901,x25902,x25903))) % 3.71/3.77 [2591]~P5(f394(a356,x25913))+~P5(f394(f413(a553,x25913),f489(x25911,x25912)))+P5(f395(a335,f238(x25911,x25912,x25913))) % 3.71/3.77 [2592]~P5(f420(a357,x25923))+~P5(f420(f376(a554,x25923),f494(x25921,x25922)))+P5(f366(a345,f186(x25921,x25922,x25923))) % 3.71/3.77 [2593]~P5(f394(a356,x25933))+~P5(f394(f413(a553,x25933),f482(x25931,x25932)))+P5(f366(a345,f241(x25931,x25932,x25933))) % 3.71/3.77 [2911]P5(f458(f460(a549,f177(x29112,x29113,x29111)),f178(x29112,x29113,x29111)))+~P5(f458(f460(a550,x29112),x29113))+P5(f458(f460(a550,f362(x29111,x29112)),f362(x29111,x29113))) % 3.71/3.77 [1740]~P4(x17402)+~P5(f358(x17403,x17401))+E(f437(x17401,f401(f369(a518,x17402),a4)),x17402) % 3.71/3.77 [2262]E(f425(f397(a539,x22621),f425(f397(a539,x22622),x22623)),x22623)+~P5(f420(f376(a554,x22621),x22622))+~P5(f420(f376(a554,x22623),x22621)) % 3.71/3.77 [2263]E(f402(f368(a536,x22631),f402(f368(a536,x22632),x22633)),x22633)+~P5(f394(f413(a553,x22631),x22632))+~P5(f394(f413(a553,x22633),x22631)) % 3.71/3.77 [2318]E(f362(f464(a567,x23181),f184(x23182,x23183,x23181)),x23183)+~P5(f458(x23182,a1))+P5(f458(x23182,f362(f464(a540,x23183),x23181))) % 3.71/3.77 [2319]E(f362(f464(a567,x23191),f185(x23192,x23193,x23191)),x23193)+~P5(f458(x23192,a1))+P5(f458(x23192,f362(f464(a540,x23193),x23191))) % 3.71/3.77 [2424]E(f362(f464(a567,x24241),f184(x24242,x24243,x24241)),x24243)+P5(f458(f460(a549,x24243),x24241))+P5(f458(x24242,f362(f464(a540,x24243),x24241))) % 3.71/3.77 [2425]E(f362(f464(a567,x24251),f185(x24252,x24253,x24251)),x24253)+P5(f458(f460(a549,x24253),x24251))+P5(f458(x24252,f362(f464(a540,x24253),x24251))) % 3.71/3.77 [2431]~P5(f458(f460(a549,x24311),x24313))+~P5(f458(f460(a549,x24313),x24312))+P5(f458(f460(a549,f362(a571,x24311)),x24312)) % 3.71/3.77 [2453]~P5(f364(f372(a530,x24531),x24533))+P5(f364(f372(a530,x24531),x24532))+P5(f364(f372(a530,x24531),f401(f396(a535,x24533),x24532))) % 3.71/3.77 [2455]~P5(f365(f419(a557,x24552),x24553))+P5(f365(f471(a526,x24551),x24552))+P5(f365(f419(a557,x24552),f426(f478(a529,x24551),x24553))) % 3.71/3.77 [2457]~P5(f365(f471(a526,x24571),x24573))+P5(f365(f471(a526,x24571),x24572))+P5(f365(f471(a526,x24571),f426(f386(a538,x24573),x24572))) % 3.71/3.77 [2461]~P5(f394(f445(a528,x24611),x24613))+P5(f394(f445(a528,x24611),x24612))+P5(f394(f445(a528,x24611),f402(f368(a536,x24613),x24612))) % 3.71/3.77 [2465]~P5(f420(f462(a527,x24651),x24653))+P5(f420(f462(a527,x24651),x24652))+P5(f420(f462(a527,x24651),f425(f397(a539,x24653),x24652))) % 3.71/3.77 [2467]P5(f458(x24671,a1))+~P5(f458(f460(a549,x24672),x24673))+~P5(f458(x24671,f362(f464(a540,x24672),x24673))) % 3.71/3.77 [2483]E(x24831,x24832)+P5(f394(f445(a528,x24831),x24833))+~P5(f394(f445(a528,x24831),f402(f441(a517,x24832),x24833))) % 3.71/3.77 [2485]E(x24851,x24852)+P5(f420(f462(a527,x24851),x24853))+~P5(f420(f462(a527,x24851),f425(f461(a516,x24852),x24853))) % 3.71/3.77 [2621]P5(f364(f372(a530,x26211),x26212))+P5(f364(f392(a552,x26212),x26213))+~P5(f364(f392(a552,x26212),f401(f369(a518,x26211),x26213))) % 3.71/3.77 [2623]P5(f365(f471(a526,x26231),x26232))+P5(f365(f419(a557,x26232),x26233))+~P5(f365(f419(a557,x26232),f426(f478(a529,x26231),x26233))) % 3.71/3.77 [2625]P5(f394(f413(a553,x26251),x26252))+P5(f394(f445(a528,x26253),x26251))+~P5(f394(f413(a553,x26251),f402(f441(a517,x26253),x26252))) % 3.71/3.77 [2627]P5(f420(f376(a554,x26271),x26272))+P5(f420(f462(a527,x26273),x26271))+~P5(f420(f376(a554,x26271),f425(f461(a516,x26273),x26272))) % 3.71/3.77 [2638]E(f362(f464(a540,f362(f464(a540,x26381),x26382)),f362(f464(a540,x26383),x26382)),f362(f464(a540,x26381),x26383))+~P5(f458(f460(a550,x26382),x26381))+~P5(f458(f460(a550,x26382),x26383)) % 3.71/3.77 [2670]~P5(f458(x26701,a1))+~P5(f458(x26701,f184(x26701,x26702,x26703)))+P5(f458(x26701,f362(f464(a540,x26702),x26703))) % 3.71/3.77 [2671]~P5(f458(x26711,a1))+~P5(f458(x26711,f185(x26711,x26712,x26713)))+P5(f458(x26711,f362(f464(a540,x26712),x26713))) % 3.71/3.77 [2680]~P5(f458(x26801,x26802))+~P5(f458(x26801,f281(x26803,x26801,x26802)))+P5(f458(x26801,f362(f464(a540,x26802),x26803))) % 3.71/3.77 [2712]~P5(f458(x27123,f184(x27123,x27121,x27122)))+P5(f458(f460(a549,x27121),x27122))+P5(f458(x27123,f362(f464(a540,x27121),x27122))) % 3.71/3.77 [2713]~P5(f458(x27133,f185(x27133,x27131,x27132)))+P5(f458(f460(a549,x27131),x27132))+P5(f458(x27133,f362(f464(a540,x27131),x27132))) % 3.71/3.77 [2758]~P4(x27581)+~P5(f364(f372(a530,x27581),f514(x27582,x27583)))+P5(f365(f471(a526,f282(x27581,x27582,x27583)),x27583)) % 3.71/3.77 [2759]~P4(x27591)+~P5(f364(f372(a530,x27591),f514(x27592,x27593)))+P5(f365(f471(a526,f291(x27591,x27592,x27593)),x27593)) % 3.71/3.77 [2760]~P1(x27601)+~P5(f364(f392(a552,x27601),f514(x27602,x27603)))+P5(f365(f419(a557,f289(x27601,x27602,x27603)),x27603)) % 3.71/3.77 [2762]~P5(f458(x27621,x27622))+P5(f458(x27621,f362(f464(a540,x27622),x27623)))+P5(f458(x27621,f362(a571,f281(x27623,x27621,x27622)))) % 3.71/3.77 [2767]~P5(f449(f443(a563,a11),x27671))+~P5(f449(f443(a563,x27672),x27673))+P5(f449(f443(a563,f454(f453(a573,x27671),x27672)),f454(f453(a573,x27671),x27673))) % 3.71/3.77 [2772]~P5(f458(f460(a549,a1),x27722))+~P5(f458(f460(a549,x27721),x27723))+P5(f458(f460(a549,f362(f464(a572,x27721),x27722)),f362(f464(a572,x27723),x27722))) % 3.71/3.77 [2773]~P5(f458(f460(a549,a1),x27731))+~P5(f458(f460(a549,x27732),x27733))+P5(f458(f460(a549,f362(f464(a572,x27731),x27732)),f362(f464(a572,x27731),x27733))) % 3.71/3.77 [2786]~P5(f458(f460(a549,x27863),x27862))+~P5(f458(f460(a549,x27863),x27861))+P5(f458(f460(a549,f362(f464(a540,x27861),x27862)),f362(f464(a540,x27861),x27863))) % 3.71/3.77 [2787]~P5(f458(f460(a550,x27872),x27871))+~P5(f458(f460(a549,x27871),x27873))+P5(f458(f460(a549,f362(f464(a540,x27871),x27872)),f362(f464(a540,x27873),x27872))) % 3.71/3.77 [2794]~P5(f395(a335,x27943))+~P5(f395(f418(a558,x27943),f504(x27941,x27942)))+P5(f364(f392(a552,f284(x27941,x27942,x27943)),x27942)) % 3.71/3.77 [2795]~P5(f366(a345,x27953))+~P5(f366(f400(a556,x27953),f505(x27951,x27952)))+P5(f364(f392(a552,f297(x27951,x27952,x27953)),x27952)) % 3.71/3.77 [2796]~P5(f420(a357,x27963))+~P5(f420(f376(a554,x27963),f506(x27961,x27962)))+P5(f364(f392(a552,f165(x27961,x27962,x27963)),x27962)) % 3.71/3.77 [2797]~P5(f394(a356,x27973))+~P5(f394(f413(a553,x27973),f503(x27971,x27972)))+P5(f364(f392(a552,f230(x27971,x27972,x27973)),x27972)) % 3.71/3.77 [2798]~P5(f420(a357,x27983))+~P5(f420(f376(a554,x27983),f520(x27981,x27982)))+P5(f365(f419(a557,f218(x27981,x27982,x27983)),x27982)) % 3.71/3.77 [2799]~P5(f394(a356,x27993))+~P5(f394(f413(a553,x27993),f521(x27991,x27992)))+P5(f365(f419(a557,f235(x27991,x27992,x27993)),x27992)) % 3.71/3.77 [2800]~P5(f395(a335,x28003))+~P5(f395(f418(a558,x28003),f485(x28001,x28002)))+P5(f365(f419(a557,f242(x28001,x28002,x28003)),x28002)) % 3.71/3.77 [2801]~P5(f366(a345,x28013))+~P5(f366(f400(a556,x28013),f492(x28011,x28012)))+P5(f365(f419(a557,f243(x28011,x28012,x28013)),x28012)) % 3.71/3.77 [2802]~P5(f395(a335,x28023))+~P5(f395(f418(a558,x28023),f491(x28021,x28022)))+P5(f394(f413(a553,f253(x28021,x28022,x28023)),x28022)) % 3.71/3.77 [2803]~P5(f366(a345,x28033))+~P5(f366(f400(a556,x28033),f499(x28031,x28032)))+P5(f394(f413(a553,f258(x28031,x28032,x28033)),x28032)) % 3.71/3.77 [2804]~P5(f395(a335,x28043))+~P5(f395(f418(a558,x28043),f486(x28041,x28042)))+P5(f420(f376(a554,f250(x28041,x28042,x28043)),x28042)) % 3.71/3.77 [2805]~P5(f366(a345,x28053))+~P5(f366(f400(a556,x28053),f493(x28051,x28052)))+P5(f420(f376(a554,f252(x28051,x28052,x28053)),x28052)) % 3.71/3.77 [2806]~P5(f394(a356,x28063))+~P5(f394(f413(a553,x28063),f361(x28061,x28062)))+P5(f420(f376(a554,f263(x28061,x28062,x28063)),x28062)) % 3.71/3.77 [2807]~P5(f420(a357,x28073))+~P5(f420(f376(a554,x28073),f508(x28071,x28072)))+P5(f427(f385(a555,f201(x28071,x28072,x28073)),x28072)) % 3.71/3.77 [2808]~P5(f394(a356,x28083))+~P5(f394(f413(a553,x28083),f507(x28081,x28082)))+P5(f427(f385(a555,f236(x28081,x28082,x28083)),x28082)) % 3.71/3.77 [2809]~P5(f420(a357,x28093))+~P5(f420(f376(a554,x28093),f484(x28091,x28092)))+P5(f406(f422(a560,f196(x28091,x28092,x28093)),x28092)) % 3.71/3.77 [2810]~P5(f394(a356,x28103))+~P5(f394(f413(a553,x28103),f490(x28101,x28102)))+P5(f406(f422(a560,f237(x28101,x28102,x28103)),x28102)) % 3.71/3.77 [2811]~P5(f420(a357,x28113))+~P5(f420(f376(a554,x28113),f483(x28111,x28112)))+P5(f395(f418(a558,f176(x28111,x28112,x28113)),x28112)) % 3.71/3.77 [2812]~P5(f394(a356,x28123))+~P5(f394(f413(a553,x28123),f489(x28121,x28122)))+P5(f395(f418(a558,f238(x28121,x28122,x28123)),x28122)) % 3.71/3.77 [2813]~P5(f420(a357,x28133))+~P5(f420(f376(a554,x28133),f494(x28131,x28132)))+P5(f366(f400(a556,f186(x28131,x28132,x28133)),x28132)) % 3.71/3.77 [2814]~P5(f394(a356,x28143))+~P5(f394(f413(a553,x28143),f482(x28141,x28142)))+P5(f366(f400(a556,f241(x28141,x28142,x28143)),x28142)) % 3.71/3.77 [2903]~P5(f458(f460(a549,a1),x29033))+P5(f458(f460(a550,x29031),x29032))+~P5(f458(f460(a550,f362(f464(a572,x29033),x29031)),f362(f464(a572,x29033),x29032))) % 3.71/3.77 [2904]~P5(f458(f460(a549,a1),x29043))+P5(f458(f460(a550,x29041),x29042))+~P5(f458(f460(a550,f362(f464(a572,x29041),x29043)),f362(f464(a572,x29042),x29043))) % 3.71/3.77 [3014]~P5(f458(f460(a550,x30142),x30143))+P5(f458(f460(a550,f362(x30141,x30142)),f362(x30141,x30143)))+~P5(f458(f460(a549,f362(x30141,f177(x30142,x30143,x30141))),f362(x30141,f178(x30142,x30143,x30141)))) % 3.71/3.77 [2031]P5(f449(a546,x20311))+~P5(f449(a546,x20312))+E(f362(f464(a567,f316(x20311)),f362(f464(a567,f316(x20312)),x20313)),f362(f464(a567,f316(x20311)),x20313)) % 3.71/3.77 [2571]~P5(f449(x25713,a11))+P5(f458(f460(a550,x25711),x25712))+P5(f449(x25713,f363(a570,f362(f464(a540,x25712),x25711)))) % 3.71/3.77 [2636]P5(f458(f460(a549,x26362),x26361))+P5(f458(f460(a550,x26361),x26362))+P5(f449(x26363,f363(a570,f362(f464(a540,x26362),x26361)))) % 3.71/3.77 [2676]~P5(f364(f372(a530,x26761),x26763))+~P5(f364(f392(a552,x26762),x26763))+P5(f364(f392(a552,f401(f369(a518,x26761),x26762)),x26763)) % 3.71/3.77 [2677]~P5(f365(f471(a526,x26771),x26773))+~P5(f365(f419(a557,x26772),x26773))+P5(f365(f419(a557,f426(f478(a529,x26771),x26772)),x26773)) % 3.71/3.77 [2678]~P5(f394(f413(a553,x26782),x26783))+~P5(f394(f445(a528,x26781),x26783))+P5(f394(f413(a553,f402(f441(a517,x26781),x26782)),x26783)) % 3.71/3.77 [2679]~P5(f420(f376(a554,x26792),x26793))+~P5(f420(f462(a527,x26791),x26793))+P5(f420(f376(a554,f425(f461(a516,x26791),x26792)),x26793)) % 3.71/3.77 [2761]P5(f449(x27611,a11))+~P5(f458(f460(a549,x27612),x27613))+~P5(f449(x27611,f363(a570,f362(f464(a540,x27612),x27613)))) % 3.71/3.77 [2857]~P5(f458(f460(a550,x28572),x28573))+~P5(f458(f460(a550,x28571),f362(f464(a540,x28573),x28572)))+P5(f458(f460(a550,f362(f464(a567,x28571),x28572)),x28573)) % 3.71/3.77 [2891]~P5(f458(f460(a550,x28913),x28912))+P5(f458(f460(a550,x28911),f362(f464(a540,x28912),x28913)))+~P5(f458(f460(a550,f362(f464(a567,x28911),x28913)),x28912)) % 3.71/3.77 [2914]~P5(f449(x29141,a11))+~P5(f449(x29141,f454(f453(a541,f363(a570,x29142)),f363(a570,x29143))))+P5(f449(x29141,f363(a570,f362(f464(a540,x29142),x29143)))) % 3.71/3.77 [2918]~P5(f458(f460(a550,x29183),x29182))+P5(f449(x29181,f454(f453(a541,f363(a570,x29182)),f363(a570,x29183))))+~P5(f449(x29181,f363(a570,f362(f464(a540,x29182),x29183)))) % 3.71/3.77 [2919]P5(f458(f460(a549,x29191),x29192))+~P5(f449(x29193,f454(f453(a541,f363(a570,x29191)),f363(a570,x29192))))+P5(f449(x29193,f363(a570,f362(f464(a540,x29191),x29192)))) % 3.71/3.77 [2924]~P5(f458(f460(a549,a1),x29241))+~P5(f449(f443(a563,x29242),x29243))+P5(f449(f443(a563,f454(f453(a573,f363(a570,x29241)),x29242)),f454(f453(a573,f363(a570,x29241)),x29243))) % 3.71/3.77 [3024]~P5(f458(f460(a550,x30242),x30243))+P5(f377(f378(a562,f458(x30241,x30242)),f458(x30241,x30243)))+~P5(f377(f378(a562,f458(x30241,f264(x30242,x30243,x30241))),f458(x30241,f362(a571,f264(x30242,x30243,x30241))))) % 3.71/3.77 [3025]~P5(f458(f460(a550,x30252),x30253))+P5(f449(f443(a551,f363(x30251,x30252)),f363(x30251,x30253)))+~P5(f449(f443(a551,f363(x30251,f268(x30252,x30253,x30251))),f363(x30251,f362(a571,f268(x30252,x30253,x30251))))) % 3.71/3.77 [3026]~P5(f458(f460(a550,x30262),x30263))+P5(f458(f460(a550,f362(x30261,x30262)),f362(x30261,x30263)))+~P5(f458(f460(a550,f362(x30261,f266(x30262,x30263,x30261))),f362(x30261,f362(a571,f266(x30262,x30263,x30261))))) % 3.71/3.77 [3027]~P5(f458(f460(a550,x30272),x30273))+P5(f364(f392(a552,f451(x30271,x30272)),f451(x30271,x30273)))+~P5(f364(f392(a552,f451(x30271,f267(x30272,x30273,x30271))),f451(x30271,f362(a571,f267(x30272,x30273,x30271))))) % 3.71/3.77 [3028]~P5(f458(f460(a550,x30282),x30283))+P5(f365(f419(a557,f452(x30281,x30282)),f452(x30281,x30283)))+~P5(f365(f419(a557,f452(x30281,f265(x30282,x30283,x30281))),f452(x30281,f362(a571,f265(x30282,x30283,x30281))))) % 3.71/3.77 [3029]~P5(f458(f460(a550,x30292),x30293))+P5(f394(f413(a553,f457(x30291,x30292)),f457(x30291,x30293)))+~P5(f394(f413(a553,f457(x30291,f269(x30292,x30293,x30291))),f457(x30291,f362(a571,f269(x30292,x30293,x30291))))) % 3.71/3.77 [3030]~P5(f458(f460(a550,x30302),x30303))+P5(f420(f376(a554,f460(x30301,x30302)),f460(x30301,x30303)))+~P5(f420(f376(a554,f460(x30301,f270(x30302,x30303,x30301))),f460(x30301,f362(a571,f270(x30302,x30303,x30301))))) % 3.71/3.77 [2640]P5(f449(a546,x26401))+P5(f449(a546,x26402))+E(f362(f464(a567,f316(x26401)),f362(f464(a567,f316(x26402)),x26403)),f362(f464(a567,f316(f454(f453(a568,x26401),x26402))),x26403)) % 3.71/3.77 [2933]~P5(f364(f372(a530,x29332),x29331))+~P5(f364(f392(a552,x29331),f401(f369(a518,x29332),x29333)))+P5(f364(f392(a552,f401(f396(a535,x29331),f401(f369(a518,x29332),a4))),x29333)) % 3.71/3.77 [2934]~P5(f365(f471(a526,x29342),x29341))+~P5(f365(f419(a557,x29341),f426(f478(a529,x29342),x29343)))+P5(f365(f419(a557,f426(f386(a538,x29341),f426(f478(a529,x29342),a5))),x29343)) % 3.71/3.77 [2935]~P5(f394(f445(a528,x29352),x29351))+~P5(f394(f413(a553,x29351),f402(f441(a517,x29352),x29353)))+P5(f394(f413(a553,f402(f368(a536,x29351),f402(f441(a517,x29352),a3))),x29353)) % 3.71/3.77 [2936]~P5(f420(f462(a527,x29362),x29361))+~P5(f420(f376(a554,x29361),f425(f461(a516,x29362),x29363)))+P5(f420(f376(a554,f425(f397(a539,x29361),f425(f461(a516,x29362),a10))),x29363)) % 3.71/3.77 [2957]~P5(f364(f372(a530,x29572),x29571))+P5(f364(f392(a552,x29571),f401(f369(a518,x29572),x29573)))+~P5(f364(f392(a552,f401(f396(a535,x29571),f401(f369(a518,x29572),a4))),x29573)) % 3.71/3.77 [2959]~P5(f365(f419(a557,x29591),x29593))+P5(f365(f419(a557,x29591),f426(f478(a529,x29592),x29593)))+~P5(f365(f419(a557,f426(f386(a538,x29591),f426(f478(a529,x29592),a5))),x29593)) % 3.71/3.77 [2960]~P5(f365(f471(a526,x29602),x29601))+P5(f365(f419(a557,x29601),f426(f478(a529,x29602),x29603)))+~P5(f365(f419(a557,f426(f386(a538,x29601),f426(f478(a529,x29602),a5))),x29603)) % 3.71/3.77 [2963]~P5(f394(f445(a528,x29632),x29631))+P5(f394(f413(a553,x29631),f402(f441(a517,x29632),x29633)))+~P5(f394(f413(a553,f402(f368(a536,x29631),f402(f441(a517,x29632),a3))),x29633)) % 3.71/3.77 [2966]~P5(f420(f462(a527,x29662),x29661))+P5(f420(f376(a554,x29661),f425(f461(a516,x29662),x29663)))+~P5(f420(f376(a554,f425(f397(a539,x29661),f425(f461(a516,x29662),a10))),x29663)) % 3.71/3.77 [1649]E(x16491,x16492)+~E(x16493,x16494)+~E(f454(f453(a541,x16493),x16494),f454(f453(a541,x16491),x16492)) % 3.71/3.77 [2040]~E(x20401,f475(x20402,x20404))+~P5(f365(f471(a526,x20404),x20403))+P5(f364(f372(a530,x20401),f514(x20402,x20403))) % 3.71/3.77 [2041]~E(x20411,f361(x20412,x20414))+~P5(f420(f376(a554,x20414),x20413))+P5(f394(f413(a553,x20411),f361(x20412,x20413))) % 3.71/3.77 [2044]~E(x20441,f363(x20442,x20444))+~P5(f420(f462(a527,x20444),x20443))+P5(f394(f445(a528,x20441),f361(x20442,x20443))) % 3.71/3.77 [2122]~E(f454(f453(a541,x21223),x21224),f454(f453(a541,x21221),x21222))+~P5(f449(f443(a551,x21223),x21224))+P5(f449(f443(a551,x21221),x21222)) % 3.71/3.77 [2123]~E(f362(f464(a567,x21233),x21232),f362(f464(a567,x21231),x21234))+~P5(f458(f460(a549,x21233),x21234))+P5(f458(f460(a549,x21231),x21232)) % 3.71/3.77 [1915]~E(x19152,x19153)+~E(x19151,x19154)+E(f425(f461(a516,x19151),f425(f461(a516,x19152),a10)),f425(f461(a516,x19153),f425(f461(a516,x19154),a10))) % 3.71/3.77 [1916]~E(x19162,x19163)+~E(x19161,x19164)+E(f402(f441(a517,x19161),f402(f441(a517,x19162),a3)),f402(f441(a517,x19163),f402(f441(a517,x19164),a3))) % 3.71/3.77 [2205]E(x22051,x22052)+E(x22053,x22051)+~E(f425(f461(a516,x22051),f425(f461(a516,x22054),a10)),f425(f461(a516,x22052),f425(f461(a516,x22053),a10))) % 3.71/3.77 [2206]E(x22061,x22062)+E(x22063,x22061)+~E(f425(f461(a516,x22063),f425(f461(a516,x22062),a10)),f425(f461(a516,x22064),f425(f461(a516,x22061),a10))) % 3.71/3.77 [2207]E(x22071,x22072)+E(x22073,x22071)+~E(f402(f441(a517,x22071),f402(f441(a517,x22074),a3)),f402(f441(a517,x22072),f402(f441(a517,x22073),a3))) % 3.71/3.77 [2208]E(x22081,x22082)+E(x22083,x22081)+~E(f402(f441(a517,x22083),f402(f441(a517,x22082),a3)),f402(f441(a517,x22084),f402(f441(a517,x22081),a3))) % 3.71/3.77 [2209]E(x22091,x22092)+E(x22091,x22093)+~E(f425(f461(a516,x22093),f425(f461(a516,x22092),a10)),f425(f461(a516,x22094),f425(f461(a516,x22091),a10))) % 3.71/3.77 [2210]E(x22101,x22102)+E(x22101,x22103)+~E(f425(f461(a516,x22101),f425(f461(a516,x22104),a10)),f425(f461(a516,x22102),f425(f461(a516,x22103),a10))) % 3.71/3.77 [2211]E(x22111,x22112)+E(x22111,x22113)+~E(f402(f441(a517,x22113),f402(f441(a517,x22112),a3)),f402(f441(a517,x22114),f402(f441(a517,x22111),a3))) % 3.71/3.77 [2212]E(x22121,x22122)+E(x22121,x22123)+~E(f402(f441(a517,x22121),f402(f441(a517,x22124),a3)),f402(f441(a517,x22122),f402(f441(a517,x22123),a3))) % 3.71/3.77 [2333]P5(f458(x23331,x23332))+~E(x23333,f362(f464(a567,x23334),x23332))+~P5(f458(x23331,f362(f464(a540,x23333),x23334))) % 3.71/3.77 [2781]~P5(f449(f443(a551,x27812),x27814))+~P5(f449(f443(a551,x27811),x27813))+P5(f449(f443(a551,f454(f453(a568,x27811),x27812)),f454(f453(a568,x27813),x27814))) % 3.71/3.77 [2782]~P5(f449(f443(a551,x27822),x27824))+~P5(f449(f443(a563,x27821),x27823))+P5(f449(f443(a563,f454(f453(a568,x27821),x27822)),f454(f453(a568,x27823),x27824))) % 3.71/3.77 [2784]~P5(f458(f460(a550,x27842),x27844))+~P5(f458(f460(a550,x27841),x27843))+P5(f458(f460(a550,f362(f464(a567,x27841),x27842)),f362(f464(a567,x27843),x27844))) % 3.71/3.77 [2785]~P5(f458(f460(a550,x27852),x27854))+~P5(f458(f460(a550,x27851),x27853))+P5(f458(f460(a550,f362(f464(a572,x27851),x27852)),f362(f464(a572,x27853),x27854))) % 3.71/3.77 [2788]~P5(f458(f460(a549,x27882),x27884))+~P5(f458(f460(a549,x27881),x27883))+P5(f458(f460(a549,f362(f464(a567,x27881),x27882)),f362(f464(a567,x27883),x27884))) % 3.71/3.77 [2789]~P5(f364(f392(a552,x27894),x27892))+~P5(f364(f392(a552,x27891),x27893))+P5(f364(f392(a552,f401(f396(a535,x27891),x27892)),f401(f396(a535,x27893),x27894))) % 3.71/3.77 [2790]~P5(f394(f413(a553,x27904),x27902))+~P5(f394(f413(a553,x27901),x27903))+P5(f394(f413(a553,f402(f368(a536,x27901),x27902)),f402(f368(a536,x27903),x27904))) % 3.71/3.77 [2791]~P5(f420(f376(a554,x27914),x27912))+~P5(f420(f376(a554,x27911),x27913))+P5(f420(f376(a554,f425(f397(a539,x27911),x27912)),f425(f397(a539,x27913),x27914))) % 3.71/3.77 [2941]~P5(f458(f460(a550,x29413),x29412))+~E(f362(f464(a567,f362(f464(a572,x29413),x29414)),x29411),f362(f464(a567,f362(f464(a572,x29412),x29414)),x29415))+E(x29411,f362(f464(a567,f362(f464(a572,f362(f464(a540,x29412),x29413)),x29414)),x29415)) % 3.71/3.77 [2942]~P5(f458(f460(a550,x29422),x29421))+~E(f362(f464(a567,f362(f464(a572,x29421),x29423)),x29424),f362(f464(a567,f362(f464(a572,x29422),x29423)),x29425))+E(f362(f464(a567,f362(f464(a572,f362(f464(a540,x29421),x29422)),x29423)),x29424),x29425) % 3.71/3.77 [2950]~P5(f458(f460(a550,x29504),x29501))+E(f362(f464(a567,f362(f464(a572,x29501),x29502)),x29503),f362(f464(a567,f362(f464(a572,x29504),x29502)),x29505))+~E(x29505,f362(f464(a567,f362(f464(a572,f362(f464(a540,x29501),x29504)),x29502)),x29503)) % 3.71/3.77 [2951]~P5(f458(f460(a550,x29514),x29511))+E(f362(f464(a567,f362(f464(a572,x29511),x29512)),x29513),f362(f464(a567,f362(f464(a572,x29514),x29512)),x29515))+~E(f362(f464(a567,f362(f464(a572,f362(f464(a540,x29511),x29514)),x29512)),x29513),x29515) % 3.71/3.77 [3043]~P5(f458(f460(a550,x30433),x30432))+~P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,x30433),x30434)),x30431)),f362(f464(a567,f362(f464(a572,x30432),x30434)),x30435)))+P5(f458(f460(a550,x30431),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30432),x30433)),x30434)),x30435))) % 3.71/3.77 [3044]~P5(f458(f460(a550,x30443),x30442))+~P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,x30443),x30444)),x30441)),f362(f464(a567,f362(f464(a572,x30442),x30444)),x30445)))+P5(f458(f460(a549,x30441),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30442),x30443)),x30444)),x30445))) % 3.71/3.77 [3047]~P5(f458(f460(a550,x30471),x30474))+P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,x30471),x30472)),x30473)),f362(f464(a567,f362(f464(a572,x30474),x30472)),x30475)))+~P5(f458(f460(a550,x30473),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30474),x30471)),x30472)),x30475))) % 3.71/3.77 [3048]~P5(f458(f460(a550,x30481),x30484))+P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,x30481),x30482)),x30483)),f362(f464(a567,f362(f464(a572,x30484),x30482)),x30485)))+~P5(f458(f460(a549,x30483),f362(f464(a567,f362(f464(a572,f362(f464(a540,x30484),x30481)),x30482)),x30485))) % 3.71/3.77 [3058]~P5(f458(f460(a550,x30582),x30581))+~P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,x30581),x30583)),x30584)),f362(f464(a567,f362(f464(a572,x30582),x30583)),x30585)))+P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30581),x30582)),x30583)),x30584)),x30585)) % 3.71/3.77 [3059]~P5(f458(f460(a550,x30592),x30591))+~P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,x30591),x30593)),x30594)),f362(f464(a567,f362(f464(a572,x30592),x30593)),x30595)))+P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30591),x30592)),x30593)),x30594)),x30595)) % 3.71/3.77 [3061]~P5(f458(f460(a550,x30614),x30611))+P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,x30611),x30612)),x30613)),f362(f464(a567,f362(f464(a572,x30614),x30612)),x30615)))+~P5(f458(f460(a550,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30611),x30614)),x30612)),x30613)),x30615)) % 3.71/3.77 [3062]~P5(f458(f460(a550,x30624),x30621))+P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,x30621),x30622)),x30623)),f362(f464(a567,f362(f464(a572,x30624),x30622)),x30625)))+~P5(f458(f460(a549,f362(f464(a567,f362(f464(a572,f362(f464(a540,x30621),x30624)),x30622)),x30623)),x30625)) % 3.71/3.77 [1497]~P1(x14971)+E(x14971,a4)+P1(f99(x14971))+~P5(f364(a318,x14971)) % 3.71/3.77 [1498]~P1(x14981)+E(x14981,a4)+P4(f126(x14981))+~P5(f364(a318,x14981)) % 3.71/3.77 [1499]~P7(x14991)+E(x14991,a5)+P7(f127(x14991))+~P5(f365(a355,x14991)) % 3.71/3.77 [1500]~P7(x15001)+E(x15001,a5)+P8(f133(x15001))+~P5(f365(a355,x15001)) % 3.71/3.77 [1582]~P1(x15821)+E(x15821,a4)+~P5(f364(a318,x15821))+P5(f364(a318,f99(x15821))) % 3.71/3.77 [1583]~P7(x15831)+E(x15831,a5)+~P5(f365(a355,x15831))+P5(f365(a355,f127(x15831))) % 3.71/3.77 [1603]~P1(x16031)+E(x16031,a4)+E(f401(f369(a518,f126(x16031)),f99(x16031)),x16031)+~P5(f364(a318,x16031)) % 3.71/3.77 [1604]~P7(x16041)+E(x16041,a5)+E(f426(f478(a529,f133(x16041)),f127(x16041)),x16041)+~P5(f365(a355,x16041)) % 3.71/3.77 [1509]E(x15091,x15092)+~E(f316(x15091),f316(x15092))+P5(f449(a546,x15092))+P5(f449(a546,x15091)) % 3.71/3.77 [1564]~E(x15642,a11)+E(f316(x15641),f316(x15642))+P5(f449(a546,x15642))+~P5(f449(a546,x15641)) % 3.71/3.77 [1572]E(x15721,a11)+~E(f316(x15722),f316(x15721))+P5(f449(a546,x15721))+~P5(f449(a546,x15722)) % 3.71/3.77 [1750]P5(f364(x17501,x17502))+P1(f100(x17501,x17502))+~P5(f364(x17501,a4))+~P5(f364(a318,x17502)) % 3.71/3.77 [1751]P5(f365(x17511,x17512))+P7(f119(x17511,x17512))+~P5(f365(x17511,a5))+~P5(f365(a355,x17512)) % 3.71/3.77 [1752]P5(f364(x17521,x17522))+P4(f101(x17521,x17522))+~P5(f364(x17521,a4))+~P5(f364(a318,x17522)) % 3.71/3.77 [1753]P5(f365(x17531,x17532))+P8(f120(x17531,x17532))+~P5(f365(x17531,a5))+~P5(f365(a355,x17532)) % 3.71/3.77 [1754]~P5(f364(x17541,x17542))+P1(f102(x17541,x17542))+P5(f364(x17541,a4))+~P5(f364(a318,x17542)) % 3.71/3.77 [1755]~P5(f365(x17551,x17552))+P7(f113(x17551,x17552))+P5(f365(x17551,a5))+~P5(f365(a355,x17552)) % 3.71/3.77 [1756]~P5(f364(x17561,x17562))+P4(f103(x17561,x17562))+P5(f364(x17561,a4))+~P5(f364(a318,x17562)) % 3.71/3.77 [1757]~P5(f365(x17571,x17572))+P8(f114(x17571,x17572))+P5(f365(x17571,a5))+~P5(f365(a355,x17572)) % 3.71/3.77 [1708]~P4(x17082)+~P4(x17081)+E(x17081,x17082)+~E(f401(f369(a518,x17081),a4),f401(f369(a518,x17082),a4)) % 3.71/3.77 [1730]~P1(x17302)+~P1(x17301)+E(x17301,x17302)+~P5(f364(f392(a328,x17301),x17302)) % 3.71/3.77 [1731]~P7(x17312)+~P7(x17311)+E(x17311,x17312)+~P5(f365(f419(a327,x17311),x17312)) % 3.71/3.77 [1732]~P4(x17322)+~P4(x17321)+E(x17321,x17322)+~P5(f371(f370(a324,x17321),x17322)) % 3.71/3.77 [1733]~P8(x17332)+~P8(x17331)+E(x17331,x17332)+~P5(f474(f477(a332,x17331),x17332)) % 3.71/3.77 [1764]~E(x17642,a548)+~E(x17641,a548)+E(f454(f453(a573,x17641),x17642),a548)+~P5(f449(f443(a563,a11),x17641)) % 3.71/3.77 [1795]~E(x17952,a11)+E(f316(x17951),f316(x17952))+~P5(f449(a546,x17951))+~P5(f449(f443(a551,x17951),a11)) % 3.71/3.77 [1851]P5(f364(x18511,x18512))+~P5(f364(x18511,a4))+~P5(f364(a318,x18512))+P5(f364(a318,f100(x18511,x18512))) % 3.71/3.77 [1852]P5(f365(x18521,x18522))+~P5(f365(x18521,a5))+~P5(f365(a355,x18522))+P5(f365(a355,f119(x18521,x18522))) % 3.71/3.77 [1853]P5(f394(x18531,x18532))+~P5(f394(x18531,a3))+~P5(f394(a356,x18532))+P5(f394(a356,f121(x18531,x18532))) % 3.71/3.77 [1854]P5(f420(x18541,x18542))+~P5(f420(x18541,a10))+~P5(f420(a357,x18542))+P5(f420(a357,f124(x18541,x18542))) % 3.71/3.77 [1855]~P5(f364(x18551,x18552))+~P5(f364(a318,x18552))+P5(f364(x18551,a4))+P5(f364(a318,f102(x18551,x18552))) % 3.71/3.77 [1856]~P5(f365(x18561,x18562))+~P5(f365(a355,x18562))+P5(f365(x18561,a5))+P5(f365(a355,f113(x18561,x18562))) % 3.71/3.77 [1857]~P5(f394(x18571,x18572))+~P5(f394(a356,x18572))+P5(f394(x18571,a3))+P5(f394(a356,f115(x18571,x18572))) % 3.71/3.77 [1858]~P5(f420(x18581,x18582))+~P5(f420(a357,x18582))+P5(f420(x18581,a10))+P5(f420(a357,f117(x18581,x18582))) % 3.71/3.77 [1865]P5(f364(x18651,x18652))+~P5(f364(x18651,a4))+~P5(f364(a318,x18652))+P5(f364(x18651,f100(x18651,x18652))) % 3.71/3.77 [1866]P5(f365(x18661,x18662))+~P5(f365(x18661,a5))+~P5(f365(a355,x18662))+P5(f365(x18661,f119(x18661,x18662))) % 3.71/3.77 [1867]P5(f394(x18671,x18672))+~P5(f394(x18671,a3))+~P5(f394(a356,x18672))+P5(f394(x18671,f121(x18671,x18672))) % 3.71/3.77 [1868]P5(f420(x18681,x18682))+~P5(f420(x18681,a10))+~P5(f420(a357,x18682))+P5(f420(x18681,f124(x18681,x18682))) % 3.71/3.77 [1869]~P5(f364(x18691,x18692))+~P5(f364(a318,x18692))+P5(f364(x18691,a4))+P5(f364(x18691,f102(x18691,x18692))) % 3.71/3.77 [1870]~P5(f365(x18701,x18702))+~P5(f365(a355,x18702))+P5(f365(x18701,a5))+P5(f365(x18701,f113(x18701,x18702))) % 3.71/3.77 [1871]~P5(f394(x18711,x18712))+~P5(f394(a356,x18712))+P5(f394(x18711,a3))+P5(f394(x18711,f115(x18711,x18712))) % 3.71/3.77 [1872]~P5(f420(x18721,x18722))+~P5(f420(a357,x18722))+P5(f420(x18721,a10))+P5(f420(x18721,f117(x18721,x18722))) % 3.71/3.77 [2264]~P5(f364(x22641,x22642))+~P5(f364(a318,x22642))+P5(f364(x22641,a4))+P5(f364(f372(a530,f103(x22641,x22642)),f102(x22641,x22642))) % 3.71/3.77 [2265]~P5(f365(x22651,x22652))+~P5(f365(a355,x22652))+P5(f365(x22651,a5))+P5(f365(f471(a526,f114(x22651,x22652)),f113(x22651,x22652))) % 3.71/3.77 [2266]~P5(f394(x22661,x22662))+~P5(f394(a356,x22662))+P5(f394(x22661,a3))+P5(f394(f445(a528,f116(x22661,x22662)),f115(x22661,x22662))) % 3.71/3.77 [2267]~P5(f420(x22671,x22672))+~P5(f420(a357,x22672))+P5(f420(x22671,a10))+P5(f420(f462(a527,f118(x22671,x22672)),f117(x22671,x22672))) % 3.71/3.77 [2567]P5(f364(x25671,x25672))+~P5(f364(x25671,a4))+~P5(f364(a318,x25672))+~P5(f364(f372(a530,f101(x25671,x25672)),f100(x25671,x25672))) % 3.71/3.77 [2568]P5(f365(x25681,x25682))+~P5(f365(x25681,a5))+~P5(f365(a355,x25682))+~P5(f365(f471(a526,f120(x25681,x25682)),f119(x25681,x25682))) % 3.71/3.77 [2569]P5(f394(x25691,x25692))+~P5(f394(x25691,a3))+~P5(f394(a356,x25692))+~P5(f394(f445(a528,f123(x25691,x25692)),f121(x25691,x25692))) % 3.71/3.77 [2570]P5(f420(x25701,x25702))+~P5(f420(x25701,a10))+~P5(f420(a357,x25702))+~P5(f420(f462(a527,f125(x25701,x25702)),f124(x25701,x25702))) % 3.71/3.77 [2628]E(x26281,x26282)+~P5(f394(a356,x26281))+~P5(f394(f413(a553,x26282),x26281))+~P5(f458(f460(a550,f436(a352,x26281)),f436(a352,x26282))) % 3.71/3.77 [2629]E(x26291,x26292)+~P5(f420(a357,x26291))+~P5(f420(f376(a554,x26292),x26291))+~P5(f458(f460(a550,f412(a351,x26291)),f412(a351,x26292))) % 3.71/3.77 [2630]E(x26301,x26302)+~P5(f395(a335,x26301))+~P5(f395(f418(a558,x26302),x26301))+~P5(f458(f460(a550,f423(a346,x26301)),f423(a346,x26302))) % 3.71/3.77 [2631]E(x26311,x26312)+~P5(f366(a345,x26311))+~P5(f366(f400(a556,x26312),x26311))+~P5(f458(f460(a550,f434(a348,x26311)),f434(a348,x26312))) % 3.71/3.77 [2285]~P4(x22852)+~P4(x22851)+E(x22851,x22852)+~P5(f364(f372(a530,x22851),f401(f369(a518,x22852),a4))) % 3.71/3.77 [2287]~P8(x22872)+~P8(x22871)+E(x22871,x22872)+~P5(f365(f471(a526,x22871),f426(f478(a529,x22872),a5))) % 3.71/3.77 [2402]~P1(x24021)+E(x24021,a4)+E(x24021,f401(f369(a518,x24022),a4))+~P5(f364(f392(a552,x24021),f401(f369(a518,x24022),a4))) % 3.71/3.77 [2883]P5(f364(x28831,x28832))+~P5(f364(x28831,a4))+~P5(f364(a318,x28832))+~P5(f364(x28831,f401(f369(a518,f101(x28831,x28832)),f100(x28831,x28832)))) % 3.71/3.77 [2884]P5(f365(x28841,x28842))+~P5(f365(x28841,a5))+~P5(f365(a355,x28842))+~P5(f365(x28841,f426(f478(a529,f120(x28841,x28842)),f119(x28841,x28842)))) % 3.71/3.77 [2885]P5(f394(x28851,x28852))+~P5(f394(x28851,a3))+~P5(f394(a356,x28852))+~P5(f394(x28851,f402(f441(a517,f123(x28851,x28852)),f121(x28851,x28852)))) % 3.71/3.77 [2886]P5(f420(x28861,x28862))+~P5(f420(x28861,a10))+~P5(f420(a357,x28862))+~P5(f420(x28861,f425(f461(a516,f125(x28861,x28862)),f124(x28861,x28862)))) % 3.71/3.77 [2967]~P5(f364(x29671,x29672))+~P5(f364(a318,x29672))+P5(f364(x29671,a4))+~P5(f364(x29671,f401(f396(a535,f102(x29671,x29672)),f401(f369(a518,f103(x29671,x29672)),a4)))) % 3.71/3.77 [2968]~P5(f365(x29681,x29682))+~P5(f365(a355,x29682))+P5(f365(x29681,a5))+~P5(f365(x29681,f426(f386(a538,f113(x29681,x29682)),f426(f478(a529,f114(x29681,x29682)),a5)))) % 3.71/3.77 [2969]~P5(f394(x29691,x29692))+~P5(f394(a356,x29692))+P5(f394(x29691,a3))+~P5(f394(x29691,f402(f368(a536,f115(x29691,x29692)),f402(f441(a517,f116(x29691,x29692)),a3)))) % 3.71/3.77 [2970]~P5(f420(x29701,x29702))+~P5(f420(a357,x29702))+P5(f420(x29701,a10))+~P5(f420(x29701,f425(f397(a539,f117(x29701,x29702)),f425(f461(a516,f118(x29701,x29702)),a10)))) % 3.71/3.77 [2037]E(x20371,x20372)+~E(f402(f441(a517,x20373),x20371),f402(f441(a517,x20373),x20372))+P5(f394(f445(a528,x20373),x20371))+P5(f394(f445(a528,x20373),x20372)) % 3.71/3.77 [2038]E(x20381,x20382)+~E(f425(f461(a516,x20383),x20381),f425(f461(a516,x20383),x20382))+P5(f420(f462(a527,x20383),x20381))+P5(f420(f462(a527,x20383),x20382)) % 3.71/3.77 [2168]~P5(f458(x21681,x21682))+~P5(f458(x21681,x21683))+P5(f458(x21681,a1))+~P5(f458(f460(a550,x21683),f183(x21682,x21681))) % 3.71/3.77 [2169]~P5(f458(x21691,x21692))+~P5(f458(x21691,x21693))+P5(f458(x21691,a1))+~P5(f458(f460(a549,x21693),f181(x21692,x21691))) % 3.71/3.77 [2312]E(x23121,x23122)+~E(f362(f464(a540,x23121),x23123),f362(f464(a540,x23122),x23123))+~P5(f458(f460(a550,x23123),x23121))+~P5(f458(f460(a550,x23123),x23122)) % 3.71/3.77 [2320]~P1(x23203)+P1(f277(x23201,x23202,x23203))+~P5(f364(a318,x23203))+~P5(f364(f392(a552,x23203),f496(x23201,x23202))) % 3.71/3.77 [2321]~P6(x23213)+P1(f306(x23211,x23212,x23213))+~P5(f406(a349,x23213))+~P5(f406(f422(a560,x23213),f498(x23211,x23212))) % 3.71/3.77 [2322]~P2(x23223)+P1(f315(x23221,x23222,x23223))+~P5(f427(a344,x23223))+~P5(f427(f385(a555,x23223),f502(x23221,x23222))) % 3.71/3.77 [2323]~P7(x23233)+P1(f112(x23231,x23232,x23233))+~P5(f365(a355,x23233))+~P5(f365(f419(a557,x23233),f501(x23231,x23232))) % 3.71/3.77 [2324]~P6(x23243)+P7(f244(x23241,x23242,x23243))+~P5(f406(a349,x23243))+~P5(f406(f422(a560,x23243),f488(x23241,x23242))) % 3.71/3.77 [2325]~P2(x23253)+P7(f245(x23251,x23252,x23253))+~P5(f427(a344,x23253))+~P5(f427(f385(a555,x23253),f481(x23251,x23252))) % 3.71/3.77 [2326]~P7(x23263)+P7(f247(x23261,x23262,x23263))+~P5(f365(a355,x23263))+~P5(f365(f419(a557,x23263),f519(x23261,x23262))) % 3.71/3.77 [2327]~P1(x23273)+P7(f248(x23271,x23272,x23273))+~P5(f364(a318,x23273))+~P5(f364(f392(a552,x23273),f514(x23271,x23272))) % 3.71/3.77 [2328]~P1(x23283)+P2(f262(x23281,x23282,x23283))+~P5(f364(a318,x23283))+~P5(f364(f392(a552,x23283),f500(x23281,x23282))) % 3.71/3.77 [2329]~P7(x23293)+P2(f145(x23291,x23292,x23293))+~P5(f365(a355,x23293))+~P5(f365(f419(a557,x23293),f487(x23291,x23292))) % 3.71/3.77 [2330]~P1(x23303)+P6(f249(x23301,x23302,x23303))+~P5(f364(a318,x23303))+~P5(f364(f392(a552,x23303),f497(x23301,x23302))) % 3.71/3.77 [2331]~P7(x23313)+P6(f141(x23311,x23312,x23313))+~P5(f365(a355,x23313))+~P5(f365(f419(a557,x23313),f480(x23311,x23312))) % 3.71/3.77 [2368]~P1(x23683)+E(f496(x23681,f277(x23681,x23682,x23683)),x23683)+~P5(f364(a318,x23683))+~P5(f364(f392(a552,x23683),f496(x23681,x23682))) % 3.71/3.77 [2369]~P7(x23693)+E(f501(x23691,f112(x23691,x23692,x23693)),x23693)+~P5(f365(a355,x23693))+~P5(f365(f419(a557,x23693),f501(x23691,x23692))) % 3.71/3.77 [2370]~P2(x23703)+E(f502(x23701,f315(x23701,x23702,x23703)),x23703)+~P5(f427(a344,x23703))+~P5(f427(f385(a555,x23703),f502(x23701,x23702))) % 3.71/3.77 [2371]~P6(x23713)+E(f498(x23711,f306(x23711,x23712,x23713)),x23713)+~P5(f406(a349,x23713))+~P5(f406(f422(a560,x23713),f498(x23711,x23712))) % 3.71/3.77 [2372]~P1(x23723)+E(f514(x23721,f248(x23721,x23722,x23723)),x23723)+~P5(f364(a318,x23723))+~P5(f364(f392(a552,x23723),f514(x23721,x23722))) % 3.71/3.77 [2373]~P7(x23733)+E(f519(x23731,f247(x23731,x23732,x23733)),x23733)+~P5(f365(a355,x23733))+~P5(f365(f419(a557,x23733),f519(x23731,x23732))) % 3.71/3.77 [2374]~P2(x23743)+E(f481(x23741,f245(x23741,x23742,x23743)),x23743)+~P5(f427(a344,x23743))+~P5(f427(f385(a555,x23743),f481(x23741,x23742))) % 3.71/3.77 [2375]~P6(x23753)+E(f488(x23751,f244(x23751,x23752,x23753)),x23753)+~P5(f406(a349,x23753))+~P5(f406(f422(a560,x23753),f488(x23751,x23752))) % 3.71/3.77 [2376]~P1(x23763)+E(f465(x23761,f254(x23761,x23762,x23763)),x23763)+~P5(f364(a318,x23763))+~P5(f364(f392(a552,x23763),f465(x23761,x23762))) % 3.71/3.77 [2377]~P7(x23773)+E(f511(x23771,f259(x23771,x23772,x23773)),x23773)+~P5(f365(a355,x23773))+~P5(f365(f419(a557,x23773),f511(x23771,x23772))) % 3.71/3.77 [2378]~P2(x23783)+E(f512(x23781,f260(x23781,x23782,x23783)),x23783)+~P5(f427(a344,x23783))+~P5(f427(f385(a555,x23783),f512(x23781,x23782))) % 3.71/3.77 [2379]~P6(x23793)+E(f495(x23791,f261(x23791,x23792,x23793)),x23793)+~P5(f406(a349,x23793))+~P5(f406(f422(a560,x23793),f495(x23791,x23792))) % 3.71/3.77 [2380]~P1(x23803)+E(f510(x23801,f251(x23801,x23802,x23803)),x23803)+~P5(f364(a318,x23803))+~P5(f364(f392(a552,x23803),f510(x23801,x23802))) % 3.71/3.77 [2381]~P7(x23813)+E(f515(x23811,f255(x23811,x23812,x23813)),x23813)+~P5(f365(a355,x23813))+~P5(f365(f419(a557,x23813),f515(x23811,x23812))) % 3.71/3.77 [2382]~P2(x23823)+E(f513(x23821,f256(x23821,x23822,x23823)),x23823)+~P5(f427(a344,x23823))+~P5(f427(f385(a555,x23823),f513(x23821,x23822))) % 3.71/3.77 [2383]~P6(x23833)+E(f469(x23831,f257(x23831,x23832,x23833)),x23833)+~P5(f406(a349,x23833))+~P5(f406(f422(a560,x23833),f469(x23831,x23832))) % 3.71/3.77 [2384]~P1(x23843)+E(f500(x23841,f262(x23841,x23842,x23843)),x23843)+~P5(f364(a318,x23843))+~P5(f364(f392(a552,x23843),f500(x23841,x23842))) % 3.71/3.77 [2385]~P7(x23853)+E(f487(x23851,f145(x23851,x23852,x23853)),x23853)+~P5(f365(a355,x23853))+~P5(f365(f419(a557,x23853),f487(x23851,x23852))) % 3.71/3.77 [2386]~P1(x23863)+E(f497(x23861,f249(x23861,x23862,x23863)),x23863)+~P5(f364(a318,x23863))+~P5(f364(f392(a552,x23863),f497(x23861,x23862))) % 3.71/3.77 [2387]~P7(x23873)+E(f480(x23871,f141(x23871,x23872,x23873)),x23873)+~P5(f365(a355,x23873))+~P5(f365(f419(a557,x23873),f480(x23871,x23872))) % 3.71/3.77 [2388]~P1(x23883)+E(f466(x23881,f210(x23881,x23882,x23883)),x23883)+~P5(f364(a318,x23883))+~P5(f364(f392(a552,x23883),f466(x23881,x23882))) % 3.71/3.77 [2389]~P7(x23893)+E(f467(x23891,f122(x23891,x23892,x23893)),x23893)+~P5(f365(a355,x23893))+~P5(f365(f419(a557,x23893),f467(x23891,x23892))) % 3.71/3.77 [2390]~P1(x23903)+E(f509(x23901,f246(x23901,x23902,x23903)),x23903)+~P5(f364(a318,x23903))+~P5(f364(f392(a552,x23903),f509(x23901,x23902))) % 3.71/3.77 [2391]~P7(x23913)+E(f468(x23911,f132(x23911,x23912,x23913)),x23913)+~P5(f365(a355,x23913))+~P5(f365(f419(a557,x23913),f468(x23911,x23912))) % 3.71/3.77 [2496]~P5(f449(x24961,x24963))+P5(f449(x24961,x24962))+P5(f449(x24961,f200(x24961,x24963,x24962)))+~P5(f449(f443(a551,x24963),x24962)) % 3.71/3.77 [2497]~P5(f449(x24971,x24973))+P5(f449(x24971,x24972))+P5(f449(x24971,f197(x24971,x24972,x24973)))+~P5(f449(f443(a551,x24972),x24973)) % 3.71/3.77 [2595]~P5(f449(x25951,x25953))+P5(f449(x25951,x25952))+~P5(f449(f443(a551,x25953),x25952))+P5(f449(f443(a551,x25953),f200(x25951,x25953,x25952))) % 3.71/3.77 [2596]~P1(x25963)+~P5(f364(a318,x25963))+~P5(f364(f392(a552,x25963),f496(x25961,x25962)))+P5(f364(a318,f277(x25961,x25962,x25963))) % 3.71/3.77 [2597]~P6(x25973)+~P5(f406(a349,x25973))+~P5(f406(f422(a560,x25973),f498(x25971,x25972)))+P5(f364(a318,f306(x25971,x25972,x25973))) % 3.71/3.77 [2598]~P2(x25983)+~P5(f427(a344,x25983))+~P5(f427(f385(a555,x25983),f502(x25981,x25982)))+P5(f364(a318,f315(x25981,x25982,x25983))) % 3.71/3.77 [2599]~P7(x25993)+~P5(f365(a355,x25993))+~P5(f365(f419(a557,x25993),f501(x25991,x25992)))+P5(f364(a318,f112(x25991,x25992,x25993))) % 3.71/3.77 [2600]~P6(x26003)+~P5(f406(a349,x26003))+~P5(f406(f422(a560,x26003),f488(x26001,x26002)))+P5(f365(a355,f244(x26001,x26002,x26003))) % 3.71/3.77 [2601]~P2(x26013)+~P5(f427(a344,x26013))+~P5(f427(f385(a555,x26013),f481(x26011,x26012)))+P5(f365(a355,f245(x26011,x26012,x26013))) % 3.71/3.77 [2602]~P7(x26023)+~P5(f365(a355,x26023))+~P5(f365(f419(a557,x26023),f519(x26021,x26022)))+P5(f365(a355,f247(x26021,x26022,x26023))) % 3.71/3.77 [2603]~P1(x26033)+~P5(f364(a318,x26033))+~P5(f364(f392(a552,x26033),f514(x26031,x26032)))+P5(f365(a355,f248(x26031,x26032,x26033))) % 3.71/3.77 [2604]~P1(x26043)+~P5(f364(a318,x26043))+~P5(f364(f392(a552,x26043),f465(x26041,x26042)))+P5(f394(a356,f254(x26041,x26042,x26043))) % 3.71/3.77 [2605]~P6(x26053)+~P5(f406(a349,x26053))+~P5(f406(f422(a560,x26053),f495(x26051,x26052)))+P5(f394(a356,f261(x26051,x26052,x26053))) % 3.71/3.77 [2606]~P2(x26063)+~P5(f427(a344,x26063))+~P5(f427(f385(a555,x26063),f512(x26061,x26062)))+P5(f394(a356,f260(x26061,x26062,x26063))) % 3.71/3.77 [2607]~P7(x26073)+~P5(f365(a355,x26073))+~P5(f365(f419(a557,x26073),f511(x26071,x26072)))+P5(f394(a356,f259(x26071,x26072,x26073))) % 3.71/3.77 [2608]~P1(x26083)+~P5(f364(a318,x26083))+~P5(f364(f392(a552,x26083),f510(x26081,x26082)))+P5(f420(a357,f251(x26081,x26082,x26083))) % 3.71/3.77 [2609]~P6(x26093)+~P5(f406(a349,x26093))+~P5(f406(f422(a560,x26093),f469(x26091,x26092)))+P5(f420(a357,f257(x26091,x26092,x26093))) % 3.71/3.77 [2610]~P2(x26103)+~P5(f427(a344,x26103))+~P5(f427(f385(a555,x26103),f513(x26101,x26102)))+P5(f420(a357,f256(x26101,x26102,x26103))) % 3.71/3.77 [2611]~P7(x26113)+~P5(f365(a355,x26113))+~P5(f365(f419(a557,x26113),f515(x26111,x26112)))+P5(f420(a357,f255(x26111,x26112,x26113))) % 3.71/3.77 [2612]~P1(x26123)+~P5(f364(a318,x26123))+~P5(f364(f392(a552,x26123),f500(x26121,x26122)))+P5(f427(a344,f262(x26121,x26122,x26123))) % 3.71/3.77 [2613]~P7(x26133)+~P5(f365(a355,x26133))+~P5(f365(f419(a557,x26133),f487(x26131,x26132)))+P5(f427(a344,f145(x26131,x26132,x26133))) % 3.71/3.77 [2614]~P1(x26143)+~P5(f364(a318,x26143))+~P5(f364(f392(a552,x26143),f497(x26141,x26142)))+P5(f406(a349,f249(x26141,x26142,x26143))) % 3.71/3.77 [2615]~P7(x26153)+~P5(f365(a355,x26153))+~P5(f365(f419(a557,x26153),f480(x26151,x26152)))+P5(f406(a349,f141(x26151,x26152,x26153))) % 3.71/3.77 [2616]~P1(x26163)+~P5(f364(a318,x26163))+~P5(f364(f392(a552,x26163),f466(x26161,x26162)))+P5(f395(a335,f210(x26161,x26162,x26163))) % 3.71/3.77 [2617]~P7(x26173)+~P5(f365(a355,x26173))+~P5(f365(f419(a557,x26173),f467(x26171,x26172)))+P5(f395(a335,f122(x26171,x26172,x26173))) % 3.71/3.77 [2618]~P1(x26183)+~P5(f364(a318,x26183))+~P5(f364(f392(a552,x26183),f509(x26181,x26182)))+P5(f366(a345,f246(x26181,x26182,x26183))) % 3.71/3.77 [2619]~P7(x26193)+~P5(f365(a355,x26193))+~P5(f365(f419(a557,x26193),f468(x26191,x26192)))+P5(f366(a345,f132(x26191,x26192,x26193))) % 3.71/3.77 [2661]~P5(f449(x26611,x26613))+P5(f449(x26611,x26612))+P5(f449(x26611,f205(x26612,x26611,x26613)))+P5(f449(x26611,f202(x26612,x26611,x26613))) % 3.71/3.77 [2668]P5(f458(x26681,x26682))+~P5(f458(x26681,x26683))+~P5(f458(x26681,f173(x26681,x26682,x26683)))+~P5(f458(f460(a550,x26682),x26683)) % 3.71/3.77 [2681]~P5(f449(x26811,x26813))+P5(f449(x26811,x26812))+P5(f449(x26811,f205(x26812,x26811,x26813)))+P5(f449(f443(a551,x26813),f202(x26812,x26811,x26813))) % 3.71/3.77 [1835]~E(x18351,x18353)+~P4(x18353)+~P4(x18351)+P5(f371(f401(f369(a518,x18351),x18352),x18353)) % 3.71/3.77 [1934]~P4(x19341)+~P4(x19343)+~P5(f371(x19342,x19343))+P5(f371(f401(f369(a518,x19341),x19342),x19343)) % 3.71/3.77 [2311]~P1(x23113)+E(f401(f396(a535,x23111),f401(f396(a535,x23112),x23113)),x23113)+~P5(f364(f392(a552,x23111),x23112))+~P5(f364(f392(a552,x23113),x23111)) % 3.71/3.77 [2549]~E(f454(f453(a568,x25492),f454(f453(a573,x25493),x25491)),x25493)+~P5(f449(f443(a551,a11),x25492))+~P5(f449(f443(a563,a11),x25493))+P5(f449(f443(a551,x25491),a548)) % 3.71/3.77 [2552]~E(f454(f453(a568,x25522),f454(f453(a573,x25523),x25521)),x25523)+~P5(f449(f443(a563,a11),x25523))+P5(f449(f443(a551,a548),x25521))+~P5(f449(f443(a563,x25522),x25523)) % 3.71/3.77 [2734]P5(f449(x27341,x27342))+P5(f449(x27341,f199(x27341,x27343,x27342)))+~P5(f449(f443(a563,x27343),x27342))+~P5(f449(x27341,f454(f453(a568,x27343),a548))) % 3.71/3.77 [2735]P5(f449(x27351,x27352))+P5(f449(x27351,f198(x27351,x27352,x27353)))+~P5(f449(f443(a563,x27352),x27353))+~P5(f449(x27351,f454(f453(a541,x27353),a548))) % 3.71/3.77 [2743]~P5(f458(x27431,x27433))+P5(f458(x27431,x27432))+~P5(f458(f460(a550,x27432),x27433))+P5(f458(x27431,f362(a571,f173(x27431,x27432,x27433)))) % 3.71/3.77 [2744]~P5(f449(x27441,x27443))+P5(f449(x27441,x27442))+~P5(f449(f443(a551,x27442),x27443))+P5(f449(f443(a551,f197(x27441,x27442,x27443)),x27443)) % 3.71/3.77 [2745]~P5(f458(x27451,x27453))+P5(f458(x27451,x27452))+~P5(f458(f460(a550,x27452),x27453))+P5(f458(f460(a549,f173(x27451,x27452,x27453)),x27453)) % 3.71/3.77 [2750]P5(f449(x27501,x27502))+~P5(f449(f443(a563,x27503),x27502))+P5(f449(f443(a563,x27503),f199(x27501,x27503,x27502)))+~P5(f449(x27501,f454(f453(a568,x27503),a548))) % 3.71/3.77 [2819]~P1(x28193)+~P5(f364(a318,x28193))+~P5(f364(f392(a552,x28193),f496(x28191,x28192)))+P5(f364(f392(a552,f277(x28191,x28192,x28193)),x28192)) % 3.71/3.77 [2820]~P6(x28203)+~P5(f406(a349,x28203))+~P5(f406(f422(a560,x28203),f498(x28201,x28202)))+P5(f364(f392(a552,f306(x28201,x28202,x28203)),x28202)) % 3.71/3.77 [2821]~P2(x28213)+~P5(f427(a344,x28213))+~P5(f427(f385(a555,x28213),f502(x28211,x28212)))+P5(f364(f392(a552,f315(x28211,x28212,x28213)),x28212)) % 3.71/3.77 [2822]~P7(x28223)+~P5(f365(a355,x28223))+~P5(f365(f419(a557,x28223),f501(x28221,x28222)))+P5(f364(f392(a552,f112(x28221,x28222,x28223)),x28222)) % 3.71/3.77 [2823]~P6(x28233)+~P5(f406(a349,x28233))+~P5(f406(f422(a560,x28233),f488(x28231,x28232)))+P5(f365(f419(a557,f244(x28231,x28232,x28233)),x28232)) % 3.71/3.77 [2824]~P2(x28243)+~P5(f427(a344,x28243))+~P5(f427(f385(a555,x28243),f481(x28241,x28242)))+P5(f365(f419(a557,f245(x28241,x28242,x28243)),x28242)) % 3.71/3.77 [2825]~P7(x28253)+~P5(f365(a355,x28253))+~P5(f365(f419(a557,x28253),f519(x28251,x28252)))+P5(f365(f419(a557,f247(x28251,x28252,x28253)),x28252)) % 3.71/3.77 [2826]~P1(x28263)+~P5(f364(a318,x28263))+~P5(f364(f392(a552,x28263),f514(x28261,x28262)))+P5(f365(f419(a557,f248(x28261,x28262,x28263)),x28262)) % 3.71/3.77 [2827]~P1(x28273)+~P5(f364(a318,x28273))+~P5(f364(f392(a552,x28273),f465(x28271,x28272)))+P5(f394(f413(a553,f254(x28271,x28272,x28273)),x28272)) % 3.71/3.77 [2828]~P6(x28283)+~P5(f406(a349,x28283))+~P5(f406(f422(a560,x28283),f495(x28281,x28282)))+P5(f394(f413(a553,f261(x28281,x28282,x28283)),x28282)) % 3.71/3.77 [2829]~P2(x28293)+~P5(f427(a344,x28293))+~P5(f427(f385(a555,x28293),f512(x28291,x28292)))+P5(f394(f413(a553,f260(x28291,x28292,x28293)),x28292)) % 3.71/3.77 [2830]~P7(x28303)+~P5(f365(a355,x28303))+~P5(f365(f419(a557,x28303),f511(x28301,x28302)))+P5(f394(f413(a553,f259(x28301,x28302,x28303)),x28302)) % 3.71/3.77 [2831]~P1(x28313)+~P5(f364(a318,x28313))+~P5(f364(f392(a552,x28313),f510(x28311,x28312)))+P5(f420(f376(a554,f251(x28311,x28312,x28313)),x28312)) % 3.71/3.77 [2832]~P6(x28323)+~P5(f406(a349,x28323))+~P5(f406(f422(a560,x28323),f469(x28321,x28322)))+P5(f420(f376(a554,f257(x28321,x28322,x28323)),x28322)) % 3.71/3.77 [2833]~P2(x28333)+~P5(f427(a344,x28333))+~P5(f427(f385(a555,x28333),f513(x28331,x28332)))+P5(f420(f376(a554,f256(x28331,x28332,x28333)),x28332)) % 3.71/3.77 [2834]~P7(x28343)+~P5(f365(a355,x28343))+~P5(f365(f419(a557,x28343),f515(x28341,x28342)))+P5(f420(f376(a554,f255(x28341,x28342,x28343)),x28342)) % 3.71/3.77 [2835]~P1(x28353)+~P5(f364(a318,x28353))+~P5(f364(f392(a552,x28353),f500(x28351,x28352)))+P5(f427(f385(a555,f262(x28351,x28352,x28353)),x28352)) % 3.71/3.77 [2836]~P7(x28363)+~P5(f365(a355,x28363))+~P5(f365(f419(a557,x28363),f487(x28361,x28362)))+P5(f427(f385(a555,f145(x28361,x28362,x28363)),x28362)) % 3.71/3.77 [2837]~P1(x28373)+~P5(f364(a318,x28373))+~P5(f364(f392(a552,x28373),f497(x28371,x28372)))+P5(f406(f422(a560,f249(x28371,x28372,x28373)),x28372)) % 3.71/3.77 [2838]~P7(x28383)+~P5(f365(a355,x28383))+~P5(f365(f419(a557,x28383),f480(x28381,x28382)))+P5(f406(f422(a560,f141(x28381,x28382,x28383)),x28382)) % 3.71/3.77 [2839]~P1(x28393)+~P5(f364(a318,x28393))+~P5(f364(f392(a552,x28393),f466(x28391,x28392)))+P5(f395(f418(a558,f210(x28391,x28392,x28393)),x28392)) % 3.71/3.77 [2840]~P7(x28403)+~P5(f365(a355,x28403))+~P5(f365(f419(a557,x28403),f467(x28401,x28402)))+P5(f395(f418(a558,f122(x28401,x28402,x28403)),x28402)) % 3.71/3.77 [2841]~P1(x28413)+~P5(f364(a318,x28413))+~P5(f364(f392(a552,x28413),f509(x28411,x28412)))+P5(f366(f400(a556,f246(x28411,x28412,x28413)),x28412)) % 3.71/3.77 [2842]~P7(x28423)+~P5(f365(a355,x28423))+~P5(f365(f419(a557,x28423),f468(x28421,x28422)))+P5(f366(f400(a556,f132(x28421,x28422,x28423)),x28422)) % 3.71/3.77 [2856]~P5(f449(x28561,x28563))+P5(f449(x28561,x28562))+P5(f449(x28561,f202(x28562,x28561,x28563)))+P5(f449(f443(a551,f205(x28562,x28561,x28563)),x28563)) % 3.71/3.77 [2868]~P5(f449(x28681,x28683))+P5(f449(x28681,x28682))+P5(f449(f443(a551,x28683),f202(x28682,x28681,x28683)))+P5(f449(f443(a551,f205(x28682,x28681,x28683)),x28683)) % 3.71/3.77 [2893]P5(f449(x28931,x28932))+~P5(f449(f443(a563,x28932),x28933))+P5(f449(f443(a563,f198(x28931,x28932,x28933)),x28933))+~P5(f449(x28931,f454(f453(a541,x28933),a548))) % 3.71/3.77 [2912]E(f363(x29121,f231(x29122,x29121,x29123)),x29122)+~P5(f449(f443(a551,x29122),f363(x29121,x29123)))+P5(f458(f460(a549,f232(x29122,x29121,x29123)),x29123))+~P5(f449(f443(a551,f363(x29121,a1)),x29122)) % 3.71/3.77 [2913]E(f363(x29131,f233(x29132,x29131,x29133)),x29132)+~P5(f449(f443(a551,x29132),f363(x29131,x29133)))+P5(f458(f460(a549,f234(x29132,x29131,x29133)),x29133))+~P5(f449(f443(a551,f363(x29131,a1)),x29132)) % 3.71/3.77 [2915]~P5(f458(f460(a550,x29153),x29151))+P5(f458(f460(a550,x29151),x29152))+~P5(f458(f460(a550,x29153),x29152))+~P5(f458(f460(a550,f362(f464(a540,x29151),x29153)),f362(f464(a540,x29152),x29153))) % 3.71/3.77 [2916]~P5(f458(f460(a550,x29163),x29161))+P5(f458(f460(a549,x29161),x29162))+~P5(f458(f460(a550,x29163),x29162))+~P5(f458(f460(a549,f362(f464(a540,x29161),x29163)),f362(f464(a540,x29162),x29163))) % 3.71/3.77 [2944]~P5(f449(f443(a551,x29441),f363(x29442,x29443)))+P5(f458(f460(a549,f232(x29441,x29442,x29443)),x29443))+P5(f458(f460(a550,f231(x29441,x29442,x29443)),x29443))+~P5(f449(f443(a551,f363(x29442,a1)),x29441)) % 3.71/3.77 [2945]~P5(f449(f443(a551,x29451),f363(x29452,x29453)))+P5(f458(f460(a549,f234(x29451,x29452,x29453)),x29453))+P5(f458(f460(a550,f233(x29451,x29452,x29453)),x29453))+~P5(f449(f443(a551,f363(x29452,a1)),x29451)) % 3.71/3.77 [2971]P5(f449(x29711,x29712))+~P5(f449(x29711,x29713))+~P5(f449(f443(a551,x29713),x29712))+~P5(f449(x29711,f454(f453(a568,f200(x29711,x29713,x29712)),a548))) % 3.71/3.77 [2972]P5(f449(x29721,x29722))+~P5(f449(x29721,x29723))+~P5(f449(f443(a551,x29722),x29723))+~P5(f449(x29721,f454(f453(a541,f197(x29721,x29722,x29723)),a548))) % 3.71/3.77 [2980]~P5(f449(x29801,x29803))+P5(f449(x29801,x29802))+P5(f449(x29801,f202(x29802,x29801,x29803)))+~P5(f449(x29801,f454(f453(a541,f205(x29802,x29801,x29803)),a548))) % 3.71/3.77 [2981]~P5(f449(x29811,x29813))+P5(f449(x29811,x29812))+P5(f449(x29811,f205(x29812,x29811,x29813)))+~P5(f449(x29811,f454(f453(a568,f202(x29812,x29811,x29813)),a548))) % 3.71/3.77 [2982]~P5(f449(x29821,x29823))+P5(f449(x29821,x29822))+P5(f449(f443(a551,x29823),f202(x29822,x29821,x29823)))+~P5(f449(x29821,f454(f453(a541,f205(x29822,x29821,x29823)),a548))) % 3.71/3.77 [2983]P5(f449(x29831,x29832))+~P5(f449(f443(a563,x29833),x29832))+~P5(f449(x29831,f454(f453(a568,x29833),a548)))+~P5(f449(x29831,f454(f453(a568,f199(x29831,x29833,x29832)),a548))) % 3.71/3.77 [2984]P5(f449(x29841,x29842))+~P5(f449(f443(a563,x29842),x29843))+~P5(f449(x29841,f454(f453(a541,x29843),a548)))+~P5(f449(x29841,f454(f453(a541,f198(x29841,x29842,x29843)),a548))) % 3.71/3.77 [2986]~P5(f449(x29861,x29863))+P5(f449(x29861,x29862))+P5(f449(f443(a551,f205(x29862,x29861,x29863)),x29863))+~P5(f449(x29861,f454(f453(a568,f202(x29862,x29861,x29863)),a548))) % 3.71/3.77 [3017]P5(f449(x30171,x30172))+~P5(f449(x30171,x30173))+~P5(f449(x30171,f454(f453(a541,f205(x30172,x30171,x30173)),a548)))+~P5(f449(x30171,f454(f453(a568,f202(x30172,x30171,x30173)),a548))) % 3.71/3.77 [2858]~P5(f365(a355,x28581))+~P5(f365(f471(a526,x28582),x28581))+P5(f365(f471(a526,x28582),x28583))+E(f435(a354,f426(f386(a538,x28581),f426(f478(a529,x28582),x28583))),f362(f464(a540,f435(a354,f426(f386(a538,x28581),x28583))),a547)) % 3.71/3.77 [2859]~P5(f364(a318,x28591))+~P5(f364(f372(a530,x28592),x28591))+P5(f364(f372(a530,x28592),x28593))+E(f442(a353,f401(f396(a535,x28591),f401(f369(a518,x28592),x28593))),f362(f464(a540,f442(a353,f401(f396(a535,x28591),x28593))),a547)) % 3.71/3.77 [2860]~P5(f420(a357,x28601))+~P5(f420(f462(a527,x28602),x28601))+P5(f420(f462(a527,x28602),x28603))+E(f412(a351,f425(f397(a539,x28601),f425(f461(a516,x28602),x28603))),f362(f464(a540,f412(a351,f425(f397(a539,x28601),x28603))),a547)) % 3.71/3.77 [2861]~P5(f394(a356,x28611))+~P5(f394(f445(a528,x28612),x28611))+P5(f394(f445(a528,x28612),x28613))+E(f436(a352,f402(f368(a536,x28611),f402(f441(a517,x28612),x28613))),f362(f464(a540,f436(a352,f402(f368(a536,x28611),x28613))),a547)) % 3.71/3.77 [2949]P5(f449(f443(a551,a11),x29491))+~P5(f449(f443(a563,a11),x29493))+~P5(f449(f443(a563,x29492),x29493))+~P5(f449(f443(a551,a11),f454(f453(a568,f454(f453(a573,x29493),x29491)),x29492))) % 3.71/3.77 [3012]~P5(f449(f443(a551,a11),x30122))+~P5(f449(f443(a563,a11),x30123))+P5(f449(f443(a551,x30121),a11))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a573,x30123),x30121)),x30122)),a11)) % 3.71/3.77 [3064]E(f363(x30641,f231(x30642,x30641,x30643)),x30642)+~P5(f449(f443(a551,x30642),f363(x30641,x30643)))+~P5(f449(f443(a551,f363(x30641,a1)),x30642))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30641,f362(f464(a567,f232(x30642,x30641,x30643)),a547))),f363(x30641,f232(x30642,x30641,x30643))))),a548)) % 3.71/3.77 [3065]E(f363(x30651,f233(x30652,x30651,x30653)),x30652)+~P5(f449(f443(a551,x30652),f363(x30651,x30653)))+~P5(f449(f443(a551,f363(x30651,a1)),x30652))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30651,f362(f464(a567,f234(x30652,x30651,x30653)),a547))),f363(x30651,f234(x30652,x30651,x30653))))),a548)) % 3.71/3.77 [3066]~P5(f449(f443(a551,x30661),f363(x30662,x30663)))+P5(f458(f460(a550,f231(x30661,x30662,x30663)),x30663))+~P5(f449(f443(a551,f363(x30662,a1)),x30661))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30662,f362(f464(a567,f232(x30661,x30662,x30663)),a547))),f363(x30662,f232(x30661,x30662,x30663))))),a548)) % 3.71/3.77 [3067]~P5(f449(f443(a551,x30671),f363(x30672,x30673)))+P5(f458(f460(a550,f233(x30671,x30672,x30673)),x30673))+~P5(f449(f443(a551,f363(x30672,a1)),x30671))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30672,f362(f464(a567,f234(x30671,x30672,x30673)),a547))),f363(x30672,f234(x30671,x30672,x30673))))),a548)) % 3.71/3.77 [1987]E(x19871,a3)+~P5(f334(x19874,x19872))+~P5(f394(a356,x19871))+E(f393(x19872,f402(f441(a517,x19873),x19871)),f454(f453(x19874,x19873),f393(x19872,x19871))) % 3.71/3.77 [1988]E(x19881,a10)+~P5(f343(x19884,x19882))+~P5(f420(a357,x19881))+E(f412(x19882,f425(f461(a516,x19883),x19881)),f362(f464(x19884,x19883),f412(x19882,x19881))) % 3.71/3.77 [2256]~P5(f339(x22564,x22561))+~P5(f420(a357,x22563))+E(f412(x22561,f425(f461(a516,x22562),x22563)),x22562)+~E(f425(f397(a539,x22563),f425(f461(a516,x22562),a10)),a10) % 3.71/3.77 [2257]~P5(f333(x22574,x22571))+~P5(f394(a356,x22573))+E(f393(x22571,f402(f441(a517,x22572),x22573)),x22572)+~E(f402(f368(a536,x22573),f402(f441(a517,x22572),a3)),a3) % 3.71/3.77 [2843]~P5(f339(x28433,x28434))+~P5(f420(a357,x28431))+E(f425(f397(a539,x28431),f425(f461(a516,x28432),a10)),a10)+E(f362(f464(x28433,x28432),f412(x28434,f425(f397(a539,x28431),f425(f461(a516,x28432),a10)))),f412(x28434,f425(f461(a516,x28432),x28431))) % 3.71/3.77 [2844]~P5(f333(x28443,x28444))+~P5(f394(a356,x28441))+E(f402(f368(a536,x28441),f402(f441(a517,x28442),a3)),a3)+E(f454(f453(x28443,x28442),f393(x28444,f402(f368(a536,x28441),f402(f441(a517,x28442),a3)))),f393(x28444,f402(f441(a517,x28442),x28441))) % 3.71/3.77 [2010]~P1(x20102)+~P1(x20101)+E(x20101,x20102)+~P5(f364(f392(a552,x20102),x20101))+~P5(f364(f392(a552,x20101),x20102)) % 3.71/3.77 [2738]E(x27381,a3)+~E(f157(x27382,x27381),a3)+P5(f394(x27382,x27381))+~P5(f394(a356,x27381))+~P5(f394(x27382,f402(f441(a517,f158(x27382,x27381)),a3))) % 3.71/3.77 [2739]E(x27391,a10)+~E(f160(x27392,x27391),a10)+P5(f420(x27392,x27391))+~P5(f420(a357,x27391))+~P5(f420(x27392,f425(f461(a516,f161(x27392,x27391)),a10))) % 3.71/3.77 [2779]E(x27791,a3)+P5(f394(x27792,x27791))+~P5(f394(a356,x27791))+P5(f394(a356,f157(x27792,x27791)))+~P5(f394(x27792,f402(f441(a517,f158(x27792,x27791)),a3))) % 3.71/3.77 [2780]E(x27801,a10)+P5(f420(x27802,x27801))+~P5(f420(a357,x27801))+P5(f420(a357,f160(x27802,x27801)))+~P5(f420(x27802,f425(f461(a516,f161(x27802,x27801)),a10))) % 3.71/3.77 [2792]E(x27921,a3)+P5(f394(x27922,x27921))+~P5(f394(a356,x27921))+P5(f394(x27922,f157(x27922,x27921)))+~P5(f394(x27922,f402(f441(a517,f158(x27922,x27921)),a3))) % 3.71/3.77 [2793]E(x27931,a10)+P5(f420(x27932,x27931))+~P5(f420(a357,x27931))+P5(f420(x27932,f160(x27932,x27931)))+~P5(f420(x27932,f425(f461(a516,f161(x27932,x27931)),a10))) % 3.71/3.77 [2906]E(x29061,a3)+P5(f394(x29062,x29061))+~P5(f394(a356,x29061))+~P5(f394(f445(a528,f159(x29062,x29061)),f157(x29062,x29061)))+~P5(f394(x29062,f402(f441(a517,f158(x29062,x29061)),a3))) % 3.71/3.77 [2907]E(x29071,a10)+P5(f420(x29072,x29071))+~P5(f420(a357,x29071))+~P5(f420(f462(a527,f162(x29072,x29071)),f160(x29072,x29071)))+~P5(f420(x29072,f425(f461(a516,f161(x29072,x29071)),a10))) % 3.71/3.77 [2937]E(x29371,a3)+P5(f394(x29372,x29371))+~P5(f394(a356,x29371))+~P5(f394(x29372,f402(f441(a517,f159(x29372,x29371)),f157(x29372,x29371))))+~P5(f394(x29372,f402(f441(a517,f158(x29372,x29371)),a3))) % 3.71/3.77 [2938]E(x29381,a10)+P5(f420(x29382,x29381))+~P5(f420(a357,x29381))+~P5(f420(x29382,f425(f461(a516,f162(x29382,x29381)),f160(x29382,x29381))))+~P5(f420(x29382,f425(f461(a516,f161(x29382,x29381)),a10))) % 3.71/3.77 [2258]P5(f364(x22581,x22582))+P1(f104(x22581,x22583,x22582))+~P5(f364(x22581,a4))+~P5(f364(a318,x22582))+~P5(f364(f392(a552,x22582),x22583)) % 3.71/3.77 [2259]P5(f364(x22591,x22592))+P4(f105(x22591,x22593,x22592))+~P5(f364(x22591,a4))+~P5(f364(a318,x22592))+~P5(f364(f392(a552,x22592),x22593)) % 3.71/3.77 [2260]P5(f365(x22601,x22602))+P7(f106(x22601,x22603,x22602))+~P5(f365(x22601,a5))+~P5(f365(a355,x22602))+~P5(f365(f419(a557,x22602),x22603)) % 3.71/3.77 [2261]P5(f365(x22611,x22612))+P8(f107(x22611,x22613,x22612))+~P5(f365(x22611,a5))+~P5(f365(a355,x22612))+~P5(f365(f419(a557,x22612),x22613)) % 3.71/3.77 [2556]P5(f364(x25561,x25562))+~P5(f364(x25561,a4))+~P5(f364(a318,x25562))+~P5(f364(f392(a552,x25562),x25563))+P5(f364(a318,f104(x25561,x25563,x25562))) % 3.71/3.77 [2557]P5(f365(x25571,x25572))+~P5(f365(x25571,a5))+~P5(f365(a355,x25572))+~P5(f365(f419(a557,x25572),x25573))+P5(f365(a355,f106(x25571,x25573,x25572))) % 3.71/3.77 [2558]P5(f394(x25581,x25582))+~P5(f394(x25581,a3))+~P5(f394(a356,x25582))+~P5(f394(f413(a553,x25582),x25583))+P5(f394(a356,f108(x25581,x25583,x25582))) % 3.71/3.77 [2559]P5(f420(x25591,x25592))+~P5(f420(x25591,a10))+~P5(f420(a357,x25592))+~P5(f420(f376(a554,x25592),x25593))+P5(f420(a357,f110(x25591,x25593,x25592))) % 3.71/3.77 [2563]P5(f364(x25631,x25632))+~P5(f364(x25631,a4))+~P5(f364(a318,x25632))+P5(f364(x25631,f104(x25631,x25633,x25632)))+~P5(f364(f392(a552,x25632),x25633)) % 3.71/3.77 [2564]P5(f365(x25641,x25642))+~P5(f365(x25641,a5))+~P5(f365(a355,x25642))+P5(f365(x25641,f106(x25641,x25643,x25642)))+~P5(f365(f419(a557,x25642),x25643)) % 3.71/3.77 [2565]P5(f394(x25651,x25652))+~P5(f394(x25651,a3))+~P5(f394(a356,x25652))+P5(f394(x25651,f108(x25651,x25653,x25652)))+~P5(f394(f413(a553,x25652),x25653)) % 3.71/3.77 [2566]P5(f420(x25661,x25662))+~P5(f420(x25661,a10))+~P5(f420(a357,x25662))+P5(f420(x25661,f110(x25661,x25663,x25662)))+~P5(f420(f376(a554,x25662),x25663)) % 3.71/3.77 [2929]P5(f364(x29291,x29292))+~P5(f364(x29291,a4))+~P5(f364(a318,x29292))+~P5(f364(f372(a530,f105(x29291,x29293,x29292)),f104(x29291,x29293,x29292)))+~P5(f364(f392(a552,x29292),x29293)) % 3.71/3.77 [2930]P5(f365(x29301,x29302))+~P5(f365(x29301,a5))+~P5(f365(a355,x29302))+~P5(f365(f471(a526,f107(x29301,x29303,x29302)),f106(x29301,x29303,x29302)))+~P5(f365(f419(a557,x29302),x29303)) % 3.71/3.77 [2931]P5(f394(x29311,x29312))+~P5(f394(x29311,a3))+~P5(f394(a356,x29312))+~P5(f394(f445(a528,f109(x29311,x29313,x29312)),f108(x29311,x29313,x29312)))+~P5(f394(f413(a553,x29312),x29313)) % 3.71/3.77 [2932]P5(f420(x29321,x29322))+~P5(f420(x29321,a10))+~P5(f420(a357,x29322))+~P5(f420(f462(a527,f111(x29321,x29323,x29322)),f110(x29321,x29323,x29322)))+~P5(f420(f376(a554,x29322),x29323)) % 3.71/3.77 [2160]~P4(x21602)+~P4(x21601)+E(x21601,x21602)+P5(f371(x21603,x21602))+~P5(f371(f401(f369(a518,x21601),x21603),x21602)) % 3.71/3.77 [2493]~P4(x24932)+~P4(x24931)+E(x24931,x24932)+P5(f364(f372(a530,x24931),x24933))+~P5(f364(f372(a530,x24931),f401(f369(a518,x24932),x24933))) % 3.71/3.77 [2495]~P8(x24952)+~P8(x24951)+E(x24951,x24952)+P5(f365(f471(a526,x24951),x24953))+~P5(f365(f471(a526,x24951),f426(f478(a529,x24952),x24953))) % 3.71/3.77 [2775]P5(f364(x27751,x27752))+~P5(f364(x27751,a4))+~P5(f364(a318,x27752))+~P5(f364(f392(a552,x27752),x27753))+P5(f364(f372(a530,f105(x27751,x27753,x27752)),x27753)) % 3.71/3.77 [2776]P5(f365(x27761,x27762))+~P5(f365(x27761,a5))+~P5(f365(a355,x27762))+~P5(f365(f419(a557,x27762),x27763))+P5(f365(f471(a526,f107(x27761,x27763,x27762)),x27763)) % 3.71/3.77 [2777]P5(f394(x27771,x27772))+~P5(f394(x27771,a3))+~P5(f394(a356,x27772))+~P5(f394(f413(a553,x27772),x27773))+P5(f394(f445(a528,f109(x27771,x27773,x27772)),x27773)) % 3.71/3.77 [2778]P5(f420(x27781,x27782))+~P5(f420(x27781,a10))+~P5(f420(a357,x27782))+~P5(f420(f376(a554,x27782),x27783))+P5(f420(f462(a527,f111(x27781,x27783,x27782)),x27783)) % 3.71/3.77 [2998]P5(f364(x29981,x29982))+~P5(f364(x29981,a4))+~P5(f364(a318,x29982))+~P5(f364(f392(a552,x29982),x29983))+~P5(f364(x29981,f401(f369(a518,f105(x29981,x29983,x29982)),f104(x29981,x29983,x29982)))) % 3.71/3.77 [2999]P5(f365(x29991,x29992))+~P5(f365(x29991,a5))+~P5(f365(a355,x29992))+~P5(f365(f419(a557,x29992),x29993))+~P5(f365(x29991,f426(f478(a529,f107(x29991,x29993,x29992)),f106(x29991,x29993,x29992)))) % 3.71/3.77 [3000]P5(f394(x30001,x30002))+~P5(f394(x30001,a3))+~P5(f394(a356,x30002))+~P5(f394(f413(a553,x30002),x30003))+~P5(f394(x30001,f402(f441(a517,f109(x30001,x30003,x30002)),f108(x30001,x30003,x30002)))) % 3.71/3.77 [3001]P5(f420(x30011,x30012))+~P5(f420(x30011,a10))+~P5(f420(a357,x30012))+~P5(f420(f376(a554,x30012),x30013))+~P5(f420(x30011,f425(f461(a516,f111(x30011,x30013,x30012)),f110(x30011,x30013,x30012)))) % 3.71/3.77 [3054]E(x30541,a3)+~P5(f333(x30543,x30542))+~P5(f394(a356,x30541))+P5(f394(f445(a528,f393(x30542,x30541)),x30541))+~P5(f394(f445(a528,f454(f453(x30543,f149(x30541,x30543,x30542)),f150(x30541,x30543,x30542))),f402(f441(a517,f149(x30541,x30543,x30542)),f402(f441(a517,f150(x30541,x30543,x30542)),a3)))) % 3.71/3.77 [3055]E(x30551,a10)+~P5(f339(x30553,x30552))+~P5(f420(a357,x30551))+P5(f420(f462(a527,f412(x30552,x30551)),x30551))+~P5(f420(f462(a527,f362(f464(x30553,f151(x30551,x30553,x30552)),f152(x30551,x30553,x30552))),f425(f461(a516,f151(x30551,x30553,x30552)),f425(f461(a516,f152(x30551,x30553,x30552)),a10)))) % 3.71/3.77 [2091]~P1(x20911)+~P7(x20914)+~E(x20911,f514(x20912,x20914))+~P5(f365(f419(a557,x20914),x20913))+P5(f364(f392(a552,x20911),f514(x20912,x20913))) % 3.71/3.77 [2254]E(x22541,a3)+~P5(f334(x22542,x22543))+E(f454(f453(x22542,f393(x22543,x22541)),f393(x22543,x22544)),f393(x22543,x22544))+~P5(f394(a356,x22544))+~P5(f394(f413(a553,x22541),x22544)) % 3.71/3.77 [2255]E(x22551,a10)+~P5(f343(x22552,x22553))+E(f362(f464(x22552,f412(x22553,x22551)),f412(x22553,x22554)),f412(x22553,x22554))+~P5(f420(a357,x22554))+~P5(f420(f376(a554,x22551),x22554)) % 3.71/3.77 [1996]~P1(x19961)+E(x19961,a4)+~P5(f340(x19962,x19964))+~P5(f364(a318,x19961))+E(f374(f375(x19962,x19963),f437(x19964,x19961)),f437(x19964,f401(f369(a518,x19963),x19961))) % 3.71/3.77 [1997]~P7(x19971)+E(x19971,a5)+~P5(f342(x19974,x19972))+~P5(f365(a355,x19971))+E(f387(x19972,f426(f478(a529,x19973),x19971)),f479(f473(x19974,x19973),f387(x19972,x19971))) % 3.71/3.77 [2161]E(x21611,a3)+~P5(f333(x21614,x21612))+~P5(f394(a356,x21611))+E(f393(x21612,f402(f441(a517,x21613),x21611)),f454(f453(x21614,x21613),f393(x21612,x21611)))+P5(f394(f445(a528,x21613),x21611)) % 3.71/3.77 [2162]E(x21621,a10)+~P5(f339(x21624,x21622))+~P5(f420(a357,x21621))+E(f412(x21622,f425(f461(a516,x21623),x21621)),f362(f464(x21624,x21623),f412(x21622,x21621)))+P5(f420(f462(a527,x21623),x21621)) % 3.71/3.77 [2282]~P4(x22822)+~P5(f358(x22824,x22821))+~P5(f364(a318,x22823))+E(f437(x22821,f401(f369(a518,x22822),x22823)),x22822)+~E(f401(f396(a535,x22823),f401(f369(a518,x22822),a4)),a4) % 3.71/3.77 [2283]~P8(x22832)+~P5(f321(x22834,x22831))+~P5(f365(a355,x22833))+E(f387(x22831,f426(f478(a529,x22832),x22833)),x22832)+~E(f426(f386(a538,x22833),f426(f478(a529,x22832),a5)),a5) % 3.71/3.77 [2422]E(f412(x24221,x24222),x24223)+~P5(f339(x24224,x24221))+~P5(f420(a357,x24222))+~P5(f420(f462(a527,x24223),x24222))+~E(f425(f397(a539,x24222),f425(f461(a516,x24223),a10)),a10) % 3.71/3.77 [2423]E(f393(x24231,x24232),x24233)+~P5(f333(x24234,x24231))+~P5(f394(a356,x24232))+~P5(f394(f445(a528,x24233),x24232))+~E(f402(f368(a536,x24232),f402(f441(a517,x24233),a3)),a3) % 3.71/3.77 [2985]E(f363(x29851,f239(x29852,x29851,x29853,x29854)),x29852)+P5(f458(f460(a550,x29854),f240(x29852,x29851,x29853,x29854)))+~P5(f458(f460(a549,x29854),x29853))+~P5(f449(f443(a551,x29852),f363(x29851,x29853)))+~P5(f449(f443(a551,f363(x29851,x29854)),x29852)) % 3.71/3.77 [3013]P5(f458(f460(a550,x30131),f239(x30132,x30133,x30134,x30131)))+~P5(f458(f460(a549,x30131),x30134))+~P5(f449(f443(a551,x30132),f363(x30133,x30134)))+P5(f458(f460(a550,x30131),f240(x30132,x30133,x30134,x30131)))+~P5(f449(f443(a551,f363(x30133,x30131)),x30132)) % 3.71/3.77 [3016]E(f363(x30161,f239(x30162,x30161,x30163,x30164)),x30162)+~P5(f458(f460(a549,x30164),x30163))+~P5(f449(f443(a551,x30162),f363(x30161,x30163)))+P5(f458(f460(a549,f240(x30162,x30161,x30163,x30164)),x30163))+~P5(f449(f443(a551,f363(x30161,x30164)),x30162)) % 3.71/3.77 [3031]~P5(f458(f460(a549,x30311),x30314))+~P5(f449(f443(a551,x30312),f363(x30313,x30314)))+P5(f458(f460(a550,x30311),f240(x30312,x30313,x30314,x30311)))+P5(f458(f460(a550,f239(x30312,x30313,x30314,x30311)),x30314))+~P5(f449(f443(a551,f363(x30313,x30311)),x30312)) % 3.71/3.77 [3032]~P5(f458(f460(a549,x30321),x30324))+~P5(f449(f443(a551,x30322),f363(x30323,x30324)))+P5(f458(f460(a550,x30321),f239(x30322,x30323,x30324,x30321)))+P5(f458(f460(a549,f240(x30322,x30323,x30324,x30321)),x30324))+~P5(f449(f443(a551,f363(x30323,x30321)),x30322)) % 3.71/3.77 [3036]~P5(f458(f460(a549,x30364),x30363))+~P5(f449(f443(a551,x30361),f363(x30362,x30363)))+P5(f458(f460(a549,f240(x30361,x30362,x30363,x30364)),x30363))+~P5(f449(f443(a551,f363(x30362,x30364)),x30361))+P5(f458(f460(a550,f239(x30361,x30362,x30363,x30364)),x30363)) % 3.71/3.77 [2900]~P5(f449(x29001,x29004))+~P5(f449(f443(a551,a11),x29002))+P5(f449(x29001,f203(x29002,x29001,x29003)))+~P5(f449(f443(a563,a11),x29003))+P5(f449(x29001,f454(f453(a541,x29004),f454(f453(a573,x29002),x29003)))) % 3.71/3.77 [2901]~P5(f449(x29011,x29014))+~P5(f449(f443(a551,a11),x29012))+P5(f449(x29011,f204(x29012,x29011,x29013)))+~P5(f449(f443(a563,a11),x29013))+P5(f449(x29011,f454(f453(a568,x29014),f454(f453(a573,x29012),x29013)))) % 3.71/3.77 [2996]~P5(f449(x29961,x29962))+~P5(f449(f443(a551,a11),x29963))+~P5(f449(f443(a563,a11),x29964))+~P5(f449(x29961,f454(f453(a541,f203(x29963,x29961,x29964)),x29964)))+P5(f449(x29961,f454(f453(a541,x29962),f454(f453(a573,x29963),x29964)))) % 3.71/3.77 [2997]~P5(f449(x29971,x29972))+~P5(f449(f443(a551,a11),x29973))+~P5(f449(f443(a563,a11),x29974))+~P5(f449(x29971,f454(f453(a568,f204(x29973,x29971,x29974)),x29974)))+P5(f449(x29971,f454(f453(a568,x29972),f454(f453(a573,x29973),x29974)))) % 3.71/3.77 [2845]~P4(x28452)+~P5(f358(x28453,x28454))+~P5(f364(a318,x28451))+E(f401(f396(a535,x28451),f401(f369(a518,x28452),a4)),a4)+E(f374(f375(x28453,x28452),f437(x28454,f401(f396(a535,x28451),f401(f369(a518,x28452),a4)))),f437(x28454,f401(f369(a518,x28452),x28451))) % 3.71/3.77 [2846]~P8(x28462)+~P5(f321(x28463,x28464))+~P5(f365(a355,x28461))+E(f426(f386(a538,x28461),f426(f478(a529,x28462),a5)),a5)+E(f479(f473(x28463,x28462),f387(x28464,f426(f386(a538,x28461),f426(f478(a529,x28462),a5)))),f387(x28464,f426(f478(a529,x28462),x28461))) % 3.71/3.77 [2852]~P5(f339(x28523,x28524))+~P5(f420(a357,x28521))+~P5(f420(f462(a527,x28522),x28521))+E(f425(f397(a539,x28521),f425(f461(a516,x28522),a10)),a10)+E(f362(f464(x28523,x28522),f412(x28524,f425(f397(a539,x28521),f425(f461(a516,x28522),a10)))),f412(x28524,x28521)) % 3.71/3.77 [2853]~P5(f333(x28533,x28534))+~P5(f394(a356,x28531))+~P5(f394(f445(a528,x28532),x28531))+E(f402(f368(a536,x28531),f402(f441(a517,x28532),a3)),a3)+E(f454(f453(x28533,x28532),f393(x28534,f402(f368(a536,x28531),f402(f441(a517,x28532),a3)))),f393(x28534,x28531)) % 3.71/3.77 [3068]E(f363(x30681,f239(x30682,x30681,x30683,x30684)),x30682)+~P5(f458(f460(a549,x30684),x30683))+~P5(f449(f443(a551,x30682),f363(x30681,x30683)))+~P5(f449(f443(a551,f363(x30681,x30684)),x30682))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30681,f362(f464(a567,f240(x30682,x30681,x30683,x30684)),a547))),f363(x30681,f240(x30682,x30681,x30683,x30684))))),a548)) % 3.71/3.77 [3069]~P5(f458(f460(a549,x30691),x30694))+~P5(f449(f443(a551,x30692),f363(x30693,x30694)))+P5(f458(f460(a550,x30691),f239(x30692,x30693,x30694,x30691)))+~P5(f449(f443(a551,f363(x30693,x30691)),x30692))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30693,f362(f464(a567,f240(x30692,x30693,x30694,x30691)),a547))),f363(x30693,f240(x30692,x30693,x30694,x30691))))),a548)) % 3.71/3.77 [3070]~P5(f458(f460(a549,x30704),x30703))+~P5(f449(f443(a551,x30701),f363(x30702,x30703)))+~P5(f449(f443(a551,f363(x30702,x30704)),x30701))+P5(f458(f460(a550,f239(x30701,x30702,x30703,x30704)),x30703))+~P5(f449(f443(a551,f6(f454(f453(a541,f363(x30702,f362(f464(a567,f240(x30701,x30702,x30703,x30704)),a547))),f363(x30702,f240(x30701,x30702,x30703,x30704))))),a548)) % 3.71/3.77 [3033]~P5(f449(f443(a551,a11),x30335))+P5(f449(f443(a551,x30331),x30332))+~P5(f449(f443(a563,x30333),x30334))+~P5(f449(f443(a563,x30335),x30334))+~P5(f449(f443(a551,f454(f453(a568,f454(f453(a573,x30334),x30331)),x30335)),f454(f453(a568,f454(f453(a573,x30334),x30332)),x30333))) % 3.71/3.77 [3034]~P5(f449(f443(a563,x30343),x30345))+P5(f449(f443(a551,x30341),x30342))+~P5(f449(f443(a563,x30343),x30344))+~P5(f449(f443(a551,x30344),a11))+~P5(f449(f443(a551,f454(f453(a568,f454(f453(a573,x30343),x30342)),x30345)),f454(f453(a568,f454(f453(a573,x30343),x30341)),x30344))) % 3.71/3.77 [1727]~P1(x17271)+E(x17271,a4)+P5(f364(x17272,x17271))+~E(f154(x17272,x17271),a4)+P4(f144(x17272,x17271))+~P5(f364(a318,x17271)) % 3.71/3.77 [1728]~P7(x17281)+E(x17281,a5)+P5(f365(x17282,x17281))+~E(f163(x17282,x17281),a5)+P8(f156(x17282,x17281))+~P5(f365(a355,x17281)) % 3.71/3.77 [1745]~P1(x17451)+E(x17451,a4)+P4(f144(x17452,x17451))+P5(f364(x17452,x17451))+P1(f154(x17452,x17451))+~P5(f364(a318,x17451)) % 3.71/3.77 [1746]~P1(x17461)+E(x17461,a4)+P4(f155(x17462,x17461))+P5(f364(x17462,x17461))+P4(f144(x17462,x17461))+~P5(f364(a318,x17461)) % 3.71/3.77 [1747]~P7(x17471)+E(x17471,a5)+P8(f156(x17472,x17471))+P5(f365(x17472,x17471))+P7(f163(x17472,x17471))+~P5(f365(a355,x17471)) % 3.71/3.77 [1748]~P7(x17481)+E(x17481,a5)+P8(f164(x17482,x17481))+P5(f365(x17482,x17481))+P8(f156(x17482,x17481))+~P5(f365(a355,x17481)) % 3.71/3.77 [1836]~P1(x18361)+E(x18361,a4)+P5(f364(x18362,x18361))+P4(f144(x18362,x18361))+~P5(f364(a318,x18361))+P5(f364(a318,f154(x18362,x18361))) % 3.71/3.77 [1837]~P7(x18371)+E(x18371,a5)+P5(f365(x18372,x18371))+P8(f156(x18372,x18371))+~P5(f365(a355,x18371))+P5(f365(a355,f163(x18372,x18371))) % 3.71/3.77 [1843]~P1(x18431)+E(x18431,a4)+P5(f364(x18432,x18431))+P4(f144(x18432,x18431))+~P5(f364(a318,x18431))+P5(f364(x18432,f154(x18432,x18431))) % 3.71/3.77 [1844]~P7(x18441)+E(x18441,a5)+P5(f365(x18442,x18441))+P8(f156(x18442,x18441))+~P5(f365(a355,x18441))+P5(f365(x18442,f163(x18442,x18441))) % 3.71/3.77 [2554]~P1(x25541)+E(x25541,a4)+P5(f364(x25542,x25541))+P4(f144(x25542,x25541))+~P5(f364(a318,x25541))+~P5(f364(f372(a530,f155(x25542,x25541)),f154(x25542,x25541))) % 3.71/3.77 [2555]~P7(x25551)+E(x25551,a5)+P5(f365(x25552,x25551))+P8(f156(x25552,x25551))+~P5(f365(a355,x25551))+~P5(f365(f471(a526,f164(x25552,x25551)),f163(x25552,x25551))) % 3.71/3.77 [2632]~P1(x26322)+~P1(x26321)+E(x26321,x26322)+~P5(f364(a318,x26322))+~P5(f364(f392(a552,x26321),x26322))+~P5(f458(f460(a550,f442(a353,x26322)),f442(a353,x26321))) % 3.71/3.77 [2633]~P7(x26332)+~P7(x26331)+E(x26331,x26332)+~P5(f365(a355,x26332))+~P5(f365(f419(a557,x26331),x26332))+~P5(f458(f460(a550,f435(a354,x26332)),f435(a354,x26331))) % 3.71/3.77 [2634]~P2(x26342)+~P2(x26341)+E(x26341,x26342)+~P5(f427(a344,x26342))+~P5(f427(f385(a555,x26341),x26342))+~P5(f458(f460(a550,f409(a338,x26342)),f409(a338,x26341))) % 3.71/3.77 [2635]~P6(x26352)+~P6(x26351)+E(x26351,x26352)+~P5(f406(a349,x26352))+~P5(f406(f422(a560,x26351),x26352))+~P5(f458(f460(a550,f429(a337,x26352)),f429(a337,x26351))) % 3.71/3.77 [2881]~P1(x28811)+E(x28811,a4)+P5(f364(x28812,x28811))+P4(f144(x28812,x28811))+~P5(f364(a318,x28811))+~P5(f364(x28812,f401(f369(a518,f155(x28812,x28811)),f154(x28812,x28811)))) % 3.71/3.77 [2882]~P7(x28821)+E(x28821,a5)+P5(f365(x28822,x28821))+P8(f156(x28822,x28821))+~P5(f365(a355,x28821))+~P5(f365(x28822,f426(f478(a529,f164(x28822,x28821)),f163(x28822,x28821)))) % 3.71/3.77 [2741]~P1(x27411)+E(x27411,a4)+~E(f154(x27412,x27411),a4)+P5(f364(x27412,x27411))+~P5(f364(a318,x27411))+~P5(f364(x27412,f401(f369(a518,f144(x27412,x27411)),a4))) % 3.71/3.77 [2742]~P7(x27421)+E(x27421,a5)+~E(f163(x27422,x27421),a5)+P5(f365(x27422,x27421))+~P5(f365(a355,x27421))+~P5(f365(x27422,f426(f478(a529,f156(x27422,x27421)),a5))) % 3.71/3.77 [2746]~P1(x27461)+E(x27461,a4)+P5(f364(x27462,x27461))+P1(f154(x27462,x27461))+~P5(f364(a318,x27461))+~P5(f364(x27462,f401(f369(a518,f144(x27462,x27461)),a4))) % 3.71/3.77 [2747]~P1(x27471)+E(x27471,a4)+P5(f364(x27472,x27471))+P4(f155(x27472,x27471))+~P5(f364(a318,x27471))+~P5(f364(x27472,f401(f369(a518,f144(x27472,x27471)),a4))) % 3.71/3.77 [2748]~P7(x27481)+E(x27481,a5)+P5(f365(x27482,x27481))+P7(f163(x27482,x27481))+~P5(f365(a355,x27481))+~P5(f365(x27482,f426(f478(a529,f156(x27482,x27481)),a5))) % 3.71/3.77 [2749]~P7(x27491)+E(x27491,a5)+P5(f365(x27492,x27491))+P8(f164(x27492,x27491))+~P5(f365(a355,x27491))+~P5(f365(x27492,f426(f478(a529,f156(x27492,x27491)),a5))) % 3.71/3.77 [2815]~P1(x28151)+E(x28151,a4)+P5(f364(x28152,x28151))+~P5(f364(a318,x28151))+P5(f364(a318,f154(x28152,x28151)))+~P5(f364(x28152,f401(f369(a518,f144(x28152,x28151)),a4))) % 3.71/3.77 [2816]~P7(x28161)+E(x28161,a5)+P5(f365(x28162,x28161))+~P5(f365(a355,x28161))+P5(f365(a355,f163(x28162,x28161)))+~P5(f365(x28162,f426(f478(a529,f156(x28162,x28161)),a5))) % 3.71/3.77 [2817]~P1(x28171)+E(x28171,a4)+P5(f364(x28172,x28171))+~P5(f364(a318,x28171))+P5(f364(x28172,f154(x28172,x28171)))+~P5(f364(x28172,f401(f369(a518,f144(x28172,x28171)),a4))) % 3.71/3.77 [2818]~P7(x28181)+E(x28181,a5)+P5(f365(x28182,x28181))+~P5(f365(a355,x28181))+P5(f365(x28182,f163(x28182,x28181)))+~P5(f365(x28182,f426(f478(a529,f156(x28182,x28181)),a5))) % 3.71/3.77 [2908]~P1(x29081)+E(x29081,a4)+P5(f364(x29082,x29081))+~P5(f364(a318,x29081))+~P5(f364(f372(a530,f155(x29082,x29081)),f154(x29082,x29081)))+~P5(f364(x29082,f401(f369(a518,f144(x29082,x29081)),a4))) % 3.71/3.77 [2909]~P7(x29091)+E(x29091,a5)+P5(f365(x29092,x29091))+~P5(f365(a355,x29091))+~P5(f365(f471(a526,f164(x29092,x29091)),f163(x29092,x29091)))+~P5(f365(x29092,f426(f478(a529,f156(x29092,x29091)),a5))) % 3.71/3.77 [2939]~P1(x29391)+E(x29391,a4)+P5(f364(x29392,x29391))+~P5(f364(a318,x29391))+~P5(f364(x29392,f401(f369(a518,f155(x29392,x29391)),f154(x29392,x29391))))+~P5(f364(x29392,f401(f369(a518,f144(x29392,x29391)),a4))) % 3.71/3.77 [2940]~P7(x29401)+E(x29401,a5)+P5(f365(x29402,x29401))+~P5(f365(a355,x29401))+~P5(f365(x29402,f426(f478(a529,f164(x29402,x29401)),f163(x29402,x29401))))+~P5(f365(x29402,f426(f478(a529,f156(x29402,x29401)),a5))) % 3.71/3.77 [1762]~P1(x17621)+~P1(x17623)+~P4(x17622)+~E(x17621,f401(f369(a518,x17622),x17623))+~P5(f364(a318,x17623))+P5(f364(a318,x17621)) % 3.71/3.77 [1763]~P7(x17631)+~P7(x17633)+~P8(x17632)+~E(x17631,f426(f478(a529,x17632),x17633))+~P5(f365(a355,x17633))+P5(f365(a355,x17631)) % 3.71/3.77 [1784]~P1(x17843)+~P1(x17842)+~P4(x17841)+~E(x17843,a4)+~E(x17843,f401(f369(a518,x17841),x17842))+P5(f364(f372(a530,x17841),x17842)) % 3.71/3.77 [1785]~P7(x17853)+~P7(x17852)+~P8(x17851)+~E(x17853,a5)+~E(x17853,f426(f478(a529,x17851),x17852))+P5(f365(f471(a526,x17851),x17852)) % 3.71/3.77 [2088]~P1(x20882)+~P1(x20881)+E(x20881,x20882)+~E(f401(f369(a518,x20883),x20881),f401(f369(a518,x20883),x20882))+P5(f364(f372(a530,x20883),x20881))+P5(f364(f372(a530,x20883),x20882)) % 3.71/3.77 [2089]~P7(x20892)+~P7(x20891)+E(x20891,x20892)+~E(f426(f478(a529,x20893),x20891),f426(f478(a529,x20893),x20892))+P5(f365(f471(a526,x20893),x20891))+P5(f365(f471(a526,x20893),x20892)) % 3.71/3.77 [2417]~P1(x24171)+E(x24171,a4)+~P5(f358(x24172,x24173))+P4(f146(x24171,x24172,x24173))+~P5(f364(a318,x24171))+P5(f364(f372(a530,f437(x24173,x24171)),x24171)) % 3.71/3.77 [2418]~P1(x24181)+E(x24181,a4)+~P5(f358(x24182,x24183))+P4(f147(x24181,x24182,x24183))+~P5(f364(a318,x24181))+P5(f364(f372(a530,f437(x24183,x24181)),x24181)) % 3.71/3.77 [2419]~P7(x24191)+E(x24191,a5)+~P5(f321(x24192,x24193))+P8(f148(x24191,x24192,x24193))+~P5(f365(a355,x24191))+P5(f365(f471(a526,f387(x24193,x24191)),x24191)) % 3.71/3.77 [2420]~P7(x24201)+E(x24201,a5)+~P5(f321(x24202,x24203))+P8(f153(x24201,x24202,x24203))+~P5(f365(a355,x24201))+P5(f365(f471(a526,f387(x24203,x24201)),x24201)) % 3.71/3.77 [3056]~P1(x30561)+E(x30561,a4)+~P5(f358(x30563,x30562))+~P5(f364(a318,x30561))+P5(f364(f372(a530,f437(x30562,x30561)),x30561))+~P5(f364(f372(a530,f374(f375(x30563,f146(x30561,x30563,x30562)),f147(x30561,x30563,x30562))),f401(f369(a518,f146(x30561,x30563,x30562)),f401(f369(a518,f147(x30561,x30563,x30562)),a4)))) % 3.71/3.77 [3057]~P7(x30571)+E(x30571,a5)+~P5(f321(x30573,x30572))+~P5(f365(a355,x30571))+P5(f365(f471(a526,f387(x30572,x30571)),x30571))+~P5(f365(f471(a526,f479(f473(x30573,f148(x30571,x30573,x30572)),f153(x30571,x30573,x30572))),f426(f478(a529,f148(x30571,x30573,x30572)),f426(f478(a529,f153(x30571,x30573,x30572)),a5)))) % 3.71/3.77 [2268]~P1(x22681)+E(x22681,a4)+~P5(f340(x22682,x22683))+E(f374(f375(x22682,f437(x22683,x22681)),f437(x22683,x22684)),f437(x22683,x22684))+~P5(f364(a318,x22684))+~P5(f364(f392(a552,x22681),x22684)) % 3.71/3.77 [2269]~P7(x22691)+E(x22691,a5)+~P5(f342(x22692,x22693))+E(f479(f473(x22692,f387(x22693,x22691)),f387(x22693,x22694)),f387(x22693,x22694))+~P5(f365(a355,x22694))+~P5(f365(f419(a557,x22691),x22694)) % 3.71/3.77 [2172]~P1(x21721)+E(x21721,a4)+~P5(f358(x21722,x21724))+~P5(f364(a318,x21721))+E(f374(f375(x21722,x21723),f437(x21724,x21721)),f437(x21724,f401(f369(a518,x21723),x21721)))+P5(f364(f372(a530,x21723),x21721)) % 3.71/3.77 [2173]~P7(x21731)+E(x21731,a5)+~P5(f321(x21734,x21732))+~P5(f365(a355,x21731))+E(f387(x21732,f426(f478(a529,x21733),x21731)),f479(f473(x21734,x21733),f387(x21732,x21731)))+P5(f365(f471(a526,x21733),x21731)) % 3.71/3.77 [2427]~P4(x24273)+E(f437(x24271,x24272),x24273)+~P5(f358(x24274,x24271))+~P5(f364(a318,x24272))+~P5(f364(f372(a530,x24273),x24272))+~E(f401(f396(a535,x24272),f401(f369(a518,x24273),a4)),a4) % 3.71/3.77 [2428]~P8(x24283)+E(f387(x24281,x24282),x24283)+~P5(f321(x24284,x24281))+~P5(f365(a355,x24282))+~P5(f365(f471(a526,x24283),x24282))+~E(f426(f386(a538,x24282),f426(f478(a529,x24283),a5)),a5) % 3.71/3.77 [2854]~P4(x28542)+~P5(f358(x28543,x28544))+~P5(f364(a318,x28541))+~P5(f364(f372(a530,x28542),x28541))+E(f401(f396(a535,x28541),f401(f369(a518,x28542),a4)),a4)+E(f374(f375(x28543,x28542),f437(x28544,f401(f396(a535,x28541),f401(f369(a518,x28542),a4)))),f437(x28544,x28541)) % 3.71/3.77 [2855]~P8(x28552)+~P5(f321(x28553,x28554))+~P5(f365(a355,x28551))+~P5(f365(f471(a526,x28552),x28551))+E(f426(f386(a538,x28551),f426(f478(a529,x28552),a5)),a5)+E(f479(f473(x28553,x28552),f387(x28554,f426(f386(a538,x28551),f426(f478(a529,x28552),a5)))),f387(x28554,x28551)) % 3.71/3.77 [3037]~P5(f449(x30371,x30375))+P5(f449(x30372,f212(x30372,x30371,x30373)))+~P5(f449(f443(a563,a11),x30373))+P5(f449(x30371,f211(x30372,x30371,x30373)))+P5(f449(f443(a563,x30374),f213(x30372,x30371,x30373,x30374)))+P5(f449(x30371,f454(f453(a541,f211(x30372,x30371,x30373)),f454(f453(a573,f214(x30372,x30371,x30373)),x30373)))) % 3.71/3.77 [3041]~P5(f449(x30411,x30415))+P5(f449(x30412,f207(x30412,x30411,x30413)))+~P5(f449(f443(a563,a11),x30413))+P5(f449(x30411,f206(x30412,x30411,x30413)))+P5(f449(f443(a563,f208(x30412,x30411,x30413,x30414)),x30414))+P5(f449(x30411,f454(f453(a541,f206(x30412,x30411,x30413)),f454(f453(a573,f209(x30412,x30411,x30413)),x30413)))) % 3.71/3.77 [3042]~P5(f449(x30422,x30425))+~P5(f449(x30422,f211(x30421,x30422,x30423)))+~P5(f449(f443(a563,a11),x30423))+P5(f449(x30421,f212(x30421,x30422,x30423)))+P5(f449(f443(a563,x30424),f213(x30421,x30422,x30423,x30424)))+~P5(f449(x30422,f454(f453(a541,f211(x30421,x30422,x30423)),f454(f453(a573,f214(x30421,x30422,x30423)),x30423)))) % 3.71/3.77 [3051]~P5(f449(x30512,x30515))+~P5(f449(x30512,f206(x30511,x30512,x30513)))+~P5(f449(f443(a563,a11),x30513))+P5(f449(x30511,f207(x30511,x30512,x30513)))+P5(f449(f443(a563,f208(x30511,x30512,x30513,x30514)),x30514))+~P5(f449(x30512,f454(f453(a541,f206(x30511,x30512,x30513)),f454(f453(a573,f209(x30511,x30512,x30513)),x30513)))) % 3.71/3.77 [1990]~E(x19902,x19903)+~E(x19901,x19904)+~P4(x19903)+~P4(x19902)+~P4(x19904)+~P4(x19901)+E(f401(f369(a518,x19901),f401(f369(a518,x19902),a4)),f401(f369(a518,x19903),f401(f369(a518,x19904),a4))) % 3.71/3.77 [2338]~P4(x23384)+~P4(x23382)+~P4(x23381)+~P4(x23383)+E(x23381,x23382)+E(x23383,x23381)+~E(f401(f369(a518,x23381),f401(f369(a518,x23384),a4)),f401(f369(a518,x23382),f401(f369(a518,x23383),a4))) % 3.71/3.77 [2339]~P4(x23394)+~P4(x23392)+~P4(x23391)+~P4(x23393)+E(x23391,x23392)+E(x23393,x23391)+~E(f401(f369(a518,x23393),f401(f369(a518,x23392),a4)),f401(f369(a518,x23394),f401(f369(a518,x23391),a4))) % 3.71/3.77 [2340]~P4(x23404)+~P4(x23402)+~P4(x23403)+~P4(x23401)+E(x23401,x23402)+E(x23401,x23403)+~E(f401(f369(a518,x23403),f401(f369(a518,x23402),a4)),f401(f369(a518,x23404),f401(f369(a518,x23401),a4))) % 3.71/3.77 [2341]~P4(x23414)+~P4(x23412)+~P4(x23413)+~P4(x23411)+E(x23411,x23412)+E(x23411,x23413)+~E(f401(f369(a518,x23411),f401(f369(a518,x23414),a4)),f401(f369(a518,x23412),f401(f369(a518,x23413),a4))) % 3.71/3.77 [3039]~P5(f449(x30391,x30395))+P5(f449(x30392,f207(x30392,x30391,x30393)))+~P5(f449(f443(a563,a11),x30393))+P5(f449(x30391,f206(x30392,x30391,x30393)))+P5(f449(x30391,f208(x30392,x30391,x30393,x30394)))+P5(f449(x30392,f208(x30392,x30391,x30393,x30394)))+P5(f449(x30391,f454(f453(a541,f206(x30392,x30391,x30393)),f454(f453(a573,f209(x30392,x30391,x30393)),x30393)))) % 3.71/3.77 [3040]~P5(f449(x30401,x30405))+P5(f449(x30402,f212(x30402,x30401,x30403)))+~P5(f449(f443(a563,a11),x30403))+P5(f449(x30401,f211(x30402,x30401,x30403)))+P5(f449(x30401,f213(x30402,x30401,x30403,x30404)))+P5(f449(x30402,f213(x30402,x30401,x30403,x30404)))+P5(f449(x30401,f454(f453(a541,f211(x30402,x30401,x30403)),f454(f453(a573,f214(x30402,x30401,x30403)),x30403)))) % 3.71/3.77 [3045]~P5(f449(x30451,x30454))+P5(f449(x30452,f207(x30452,x30451,x30453)))+~P5(f449(f443(a563,a11),x30453))+P5(f449(x30451,f206(x30452,x30451,x30453)))+~P5(f449(x30451,f208(x30452,x30451,x30453,x30455)))+~P5(f449(x30452,f208(x30452,x30451,x30453,x30455)))+P5(f449(x30451,f454(f453(a541,f206(x30452,x30451,x30453)),f454(f453(a573,f209(x30452,x30451,x30453)),x30453)))) % 3.71/3.77 [3046]~P5(f449(x30461,x30464))+P5(f449(x30462,f212(x30462,x30461,x30463)))+~P5(f449(f443(a563,a11),x30463))+P5(f449(x30461,f211(x30462,x30461,x30463)))+~P5(f449(x30461,f213(x30462,x30461,x30463,x30465)))+~P5(f449(x30462,f213(x30462,x30461,x30463,x30465)))+P5(f449(x30461,f454(f453(a541,f211(x30462,x30461,x30463)),f454(f453(a573,f214(x30462,x30461,x30463)),x30463)))) % 3.71/3.77 [3049]~P5(f449(x30492,x30495))+~P5(f449(x30492,f206(x30491,x30492,x30493)))+~P5(f449(f443(a563,a11),x30493))+P5(f449(x30491,f207(x30491,x30492,x30493)))+P5(f449(x30492,f208(x30491,x30492,x30493,x30494)))+P5(f449(x30491,f208(x30491,x30492,x30493,x30494)))+~P5(f449(x30492,f454(f453(a541,f206(x30491,x30492,x30493)),f454(f453(a573,f209(x30491,x30492,x30493)),x30493)))) % 3.71/3.77 [3050]~P5(f449(x30502,x30505))+~P5(f449(x30502,f211(x30501,x30502,x30503)))+~P5(f449(f443(a563,a11),x30503))+P5(f449(x30501,f212(x30501,x30502,x30503)))+P5(f449(x30502,f213(x30501,x30502,x30503,x30504)))+P5(f449(x30501,f213(x30501,x30502,x30503,x30504)))+~P5(f449(x30502,f454(f453(a541,f211(x30501,x30502,x30503)),f454(f453(a573,f214(x30501,x30502,x30503)),x30503)))) % 3.71/3.77 [3052]~P5(f449(x30522,x30524))+~P5(f449(x30522,f206(x30521,x30522,x30523)))+~P5(f449(f443(a563,a11),x30523))+P5(f449(x30521,f207(x30521,x30522,x30523)))+~P5(f449(x30522,f208(x30521,x30522,x30523,x30525)))+~P5(f449(x30521,f208(x30521,x30522,x30523,x30525)))+~P5(f449(x30522,f454(f453(a541,f206(x30521,x30522,x30523)),f454(f453(a573,f209(x30521,x30522,x30523)),x30523)))) % 3.71/3.77 [3053]~P5(f449(x30532,x30534))+~P5(f449(x30532,f211(x30531,x30532,x30533)))+~P5(f449(f443(a563,a11),x30533))+P5(f449(x30531,f212(x30531,x30532,x30533)))+~P5(f449(x30532,f213(x30531,x30532,x30533,x30535)))+~P5(f449(x30531,f213(x30531,x30532,x30533,x30535)))+~P5(f449(x30532,f454(f453(a541,f211(x30531,x30532,x30533)),f454(f453(a573,f214(x30531,x30532,x30533)),x30533)))) % 3.71/3.77 [2995]~P5(f449(f443(a551,a11),x29954))+~P5(f449(f443(a563,a11),x29955))+~P5(f449(f443(a551,x29955),x29953))+~P5(f449(f443(a563,x29956),x29955))+P5(f449(f443(a551,x29951),x29952))+~E(f454(f453(a568,f454(f453(a573,x29953),x29951)),x29954),f454(f453(a568,f454(f453(a573,x29955),x29952)),x29956))+~P5(f449(f443(a551,a11),f454(f453(a568,f454(f453(a573,x29955),x29952)),x29956))) % 3.71/3.77 [3022]~P5(f449(f443(a551,a11),x30226))+~P5(f449(f443(a563,a11),x30225))+~P5(f449(f443(a551,x30225),x30223))+~P5(f449(f443(a563,x30224),x30223))+P5(f449(f443(a551,x30221),x30222))+~E(f454(f453(a568,f454(f453(a573,x30223),x30222)),x30224),f454(f453(a568,f454(f453(a573,x30225),x30221)),x30226))+~P5(f449(f443(a563,f454(f453(a568,f454(f453(a573,x30225),x30221)),x30226)),a11)) % 3.71/3.77 %EqnAxiom % 3.71/3.77 [1]E(x11,x11) % 3.71/3.77 [2]E(x22,x21)+~E(x21,x22) % 3.71/3.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 3.71/3.77 [4]~E(x41,x42)+E(f14(x41),f14(x42)) % 3.71/3.77 [5]~E(x51,x52)+E(f75(x51),f75(x52)) % 3.71/3.77 [6]~E(x61,x62)+E(f316(x61),f316(x62)) % 3.71/3.77 [7]~E(x71,x72)+E(f6(x71),f6(x72)) % 3.71/3.77 [8]~E(x81,x82)+E(f15(x81),f15(x82)) % 3.71/3.77 [9]~E(x91,x92)+E(f76(x91),f76(x92)) % 3.71/3.77 [10]~E(x101,x102)+E(f582(x101),f582(x102)) % 3.71/3.77 [11]~E(x111,x112)+E(f586(x111),f586(x112)) % 3.71/3.77 [12]~E(x121,x122)+E(f588(x121),f588(x122)) % 3.71/3.77 [13]~E(x131,x132)+E(f360(x131),f360(x132)) % 3.71/3.77 [14]~E(x141,x142)+E(f361(x141,x143),f361(x142,x143)) % 3.71/3.77 [15]~E(x151,x152)+E(f361(x153,x151),f361(x153,x152)) % 3.71/3.77 [16]~E(x161,x162)+E(f362(x161,x163),f362(x162,x163)) % 3.71/3.77 [17]~E(x171,x172)+E(f362(x173,x171),f362(x173,x172)) % 3.71/3.77 [18]~E(x181,x182)+E(f363(x181,x183),f363(x182,x183)) % 3.71/3.77 [19]~E(x191,x192)+E(f363(x193,x191),f363(x193,x192)) % 3.71/3.77 [20]~E(x201,x202)+E(f469(x201,x203),f469(x202,x203)) % 3.71/3.77 [21]~E(x211,x212)+E(f469(x213,x211),f469(x213,x212)) % 3.71/3.77 [22]~E(x221,x222)+E(f420(x221,x223),f420(x222,x223)) % 3.71/3.77 [23]~E(x231,x232)+E(f420(x233,x231),f420(x233,x232)) % 3.71/3.77 [24]~E(x241,x242)+E(f454(x241,x243),f454(x242,x243)) % 3.71/3.77 [25]~E(x251,x252)+E(f454(x253,x251),f454(x253,x252)) % 3.71/3.77 [26]~E(x261,x262)+E(f514(x261,x263),f514(x262,x263)) % 3.71/3.77 [27]~E(x271,x272)+E(f514(x273,x271),f514(x273,x272)) % 3.71/3.77 [28]~E(x281,x282)+E(f443(x281,x283),f443(x282,x283)) % 3.71/3.77 [29]~E(x291,x292)+E(f443(x293,x291),f443(x293,x292)) % 3.71/3.77 [30]~E(x301,x302)+E(f464(x301,x303),f464(x302,x303)) % 3.71/3.77 [31]~E(x311,x312)+E(f464(x313,x311),f464(x313,x312)) % 3.71/3.77 [32]~E(x321,x322)+E(f77(x321),f77(x322)) % 3.71/3.77 [33]~E(x331,x332)+E(f85(x331,x333),f85(x332,x333)) % 3.71/3.77 [34]~E(x341,x342)+E(f85(x343,x341),f85(x343,x342)) % 3.71/3.77 [35]~E(x351,x352)+E(f364(x351,x353),f364(x352,x353)) % 3.71/3.77 [36]~E(x361,x362)+E(f364(x363,x361),f364(x363,x362)) % 3.71/3.77 [37]~E(x371,x372)+E(f365(x371,x373),f365(x372,x373)) % 3.71/3.77 [38]~E(x381,x382)+E(f365(x383,x381),f365(x383,x382)) % 3.71/3.77 [39]~E(x391,x392)+E(f163(x391,x393),f163(x392,x393)) % 3.71/3.77 [40]~E(x401,x402)+E(f163(x403,x401),f163(x403,x402)) % 3.71/3.77 [41]~E(x411,x412)+E(f394(x411,x413),f394(x412,x413)) % 3.71/3.77 [42]~E(x421,x422)+E(f394(x423,x421),f394(x423,x422)) % 3.71/3.77 [43]~E(x431,x432)+E(f453(x431,x433),f453(x432,x433)) % 3.71/3.77 [44]~E(x441,x442)+E(f453(x443,x441),f453(x443,x442)) % 3.71/3.77 [45]~E(x451,x452)+E(f465(x451,x453),f465(x452,x453)) % 3.71/3.77 [46]~E(x461,x462)+E(f465(x463,x461),f465(x463,x462)) % 3.71/3.77 [47]~E(x471,x472)+E(f510(x471,x473),f510(x472,x473)) % 3.71/3.77 [48]~E(x481,x482)+E(f510(x483,x481),f510(x483,x482)) % 3.71/3.77 [49]~E(x491,x492)+E(f466(x491,x493),f466(x492,x493)) % 3.71/3.77 [50]~E(x501,x502)+E(f466(x503,x501),f466(x503,x502)) % 3.71/3.77 [51]~E(x511,x512)+E(f509(x511,x513),f509(x512,x513)) % 3.71/3.77 [52]~E(x521,x522)+E(f509(x523,x521),f509(x523,x522)) % 3.71/3.77 [53]~E(x531,x532)+E(f438(x531,x533),f438(x532,x533)) % 3.71/3.77 [54]~E(x541,x542)+E(f438(x543,x541),f438(x543,x542)) % 3.71/3.77 [55]~E(x551,x552)+E(f451(x551,x553),f451(x552,x553)) % 3.71/3.77 [56]~E(x561,x562)+E(f451(x563,x561),f451(x563,x562)) % 3.71/3.77 [57]~E(x571,x572)+E(f511(x571,x573),f511(x572,x573)) % 3.71/3.77 [58]~E(x581,x582)+E(f511(x583,x581),f511(x583,x582)) % 3.71/3.77 [59]~E(x591,x592)+E(f515(x591,x593),f515(x592,x593)) % 3.71/3.77 [60]~E(x601,x602)+E(f515(x603,x601),f515(x603,x602)) % 3.71/3.77 [61]~E(x611,x612)+E(f467(x611,x613),f467(x612,x613)) % 3.71/3.77 [62]~E(x621,x622)+E(f467(x623,x621),f467(x623,x622)) % 3.71/3.77 [63]~E(x631,x632)+E(f468(x631,x633),f468(x632,x633)) % 3.71/3.77 [64]~E(x641,x642)+E(f468(x643,x641),f468(x643,x642)) % 3.71/3.77 [65]~E(x651,x652)+E(f439(x651,x653),f439(x652,x653)) % 3.71/3.77 [66]~E(x661,x662)+E(f439(x663,x661),f439(x663,x662)) % 3.71/3.77 [67]~E(x671,x672)+E(f452(x671,x673),f452(x672,x673)) % 3.71/3.77 [68]~E(x681,x682)+E(f452(x683,x681),f452(x683,x682)) % 3.71/3.77 [69]~E(x691,x692)+E(f512(x691,x693),f512(x692,x693)) % 3.71/3.77 [70]~E(x701,x702)+E(f512(x703,x701),f512(x703,x702)) % 3.71/3.77 [71]~E(x711,x712)+E(f513(x711,x713),f513(x712,x713)) % 3.71/3.77 [72]~E(x721,x722)+E(f513(x723,x721),f513(x723,x722)) % 3.71/3.77 [73]~E(x731,x732)+E(f448(x731,x733),f448(x732,x733)) % 3.71/3.77 [74]~E(x741,x742)+E(f448(x743,x741),f448(x743,x742)) % 3.71/3.77 [75]~E(x751,x752)+E(f456(x751,x753),f456(x752,x753)) % 3.71/3.77 [76]~E(x761,x762)+E(f456(x763,x761),f456(x763,x762)) % 3.71/3.77 [77]~E(x771,x772)+E(f358(x771,x773),f358(x772,x773)) % 3.71/3.77 [78]~E(x781,x782)+E(f358(x783,x781),f358(x783,x782)) % 3.71/3.77 [79]~E(x791,x792)+E(f321(x791,x793),f321(x792,x793)) % 3.71/3.77 [80]~E(x801,x802)+E(f321(x803,x801),f321(x803,x802)) % 3.71/3.77 [81]~E(x811,x812)+E(f333(x811,x813),f333(x812,x813)) % 3.71/3.77 [82]~E(x821,x822)+E(f333(x823,x821),f333(x823,x822)) % 3.71/3.77 [83]~E(x831,x832)+E(f339(x831,x833),f339(x832,x833)) % 3.71/3.77 [84]~E(x841,x842)+E(f339(x843,x841),f339(x843,x842)) % 3.71/3.77 [85]~E(x851,x852)+E(f340(x851,x853),f340(x852,x853)) % 3.71/3.77 [86]~E(x861,x862)+E(f340(x863,x861),f340(x863,x862)) % 3.71/3.77 [87]~E(x871,x872)+E(f342(x871,x873),f342(x872,x873)) % 3.71/3.77 [88]~E(x881,x882)+E(f342(x883,x881),f342(x883,x882)) % 3.71/3.77 [89]~E(x891,x892)+E(f334(x891,x893),f334(x892,x893)) % 3.71/3.77 [90]~E(x901,x902)+E(f334(x903,x901),f334(x903,x902)) % 3.71/3.77 [91]~E(x911,x912)+E(f343(x911,x913),f343(x912,x913)) % 3.71/3.77 [92]~E(x921,x922)+E(f343(x923,x921),f343(x923,x922)) % 3.71/3.77 [93]~E(x931,x932)+E(f449(x931,x933),f449(x932,x933)) % 3.71/3.77 [94]~E(x941,x942)+E(f449(x943,x941),f449(x943,x942)) % 3.71/3.77 [95]~E(x951,x952)+E(f458(x951,x953),f458(x952,x953)) % 3.71/3.77 [96]~E(x961,x962)+E(f458(x963,x961),f458(x963,x962)) % 3.71/3.77 [97]~E(x971,x972)+E(f461(x971,x973),f461(x972,x973)) % 3.71/3.77 [98]~E(x981,x982)+E(f461(x983,x981),f461(x983,x982)) % 3.71/3.77 [99]~E(x991,x992)+E(f402(x991,x993),f402(x992,x993)) % 3.71/3.77 [100]~E(x1001,x1002)+E(f402(x1003,x1001),f402(x1003,x1002)) % 3.71/3.77 [101]~E(x1011,x1012)+E(f395(x1011,x1013),f395(x1012,x1013)) % 3.71/3.77 [102]~E(x1021,x1022)+E(f395(x1023,x1021),f395(x1023,x1022)) % 3.71/3.77 [103]~E(x1031,x1032)+E(f366(x1031,x1033),f366(x1032,x1033)) % 3.71/3.77 [104]~E(x1041,x1042)+E(f366(x1043,x1041),f366(x1043,x1042)) % 3.71/3.77 [105]~E(x1051,x1052)+E(f411(x1051,x1053),f411(x1052,x1053)) % 3.71/3.77 [106]~E(x1061,x1062)+E(f411(x1063,x1061),f411(x1063,x1062)) % 3.71/3.77 [107]~E(x1071,x1072)+E(f417(x1071,x1073),f417(x1072,x1073)) % 3.71/3.77 [108]~E(x1081,x1082)+E(f417(x1083,x1081),f417(x1083,x1082)) % 3.71/3.77 [109]~E(x1091,x1092)+E(f367(x1091,x1093),f367(x1092,x1093)) % 3.71/3.77 [110]~E(x1101,x1102)+E(f367(x1103,x1101),f367(x1103,x1102)) % 3.71/3.77 [111]~E(x1111,x1112)+E(f424(x1111,x1113),f424(x1112,x1113)) % 3.71/3.77 [112]~E(x1121,x1122)+E(f424(x1123,x1121),f424(x1123,x1122)) % 3.71/3.77 [113]~E(x1131,x1132)+E(f495(x1131,x1133),f495(x1132,x1133)) % 3.71/3.77 [114]~E(x1141,x1142)+E(f495(x1143,x1141),f495(x1143,x1142)) % 3.71/3.77 [115]~E(x1151,x1152)+E(f369(x1151,x1153),f369(x1152,x1153)) % 3.71/3.77 [116]~E(x1161,x1162)+E(f369(x1163,x1161),f369(x1163,x1162)) % 3.71/3.77 [117]~E(x1171,x1172)+E(f440(x1171,x1173),f440(x1172,x1173)) % 3.71/3.77 [118]~E(x1181,x1182)+E(f440(x1183,x1181),f440(x1183,x1182)) % 3.71/3.77 [119]~E(x1191,x1192)+E(f459(x1191,x1193),f459(x1192,x1193)) % 3.71/3.77 [120]~E(x1201,x1202)+E(f459(x1203,x1201),f459(x1203,x1202)) % 3.71/3.77 [121]~E(x1211,x1212)+E(f450(x1211,x1213),f450(x1212,x1213)) % 3.71/3.77 [122]~E(x1221,x1222)+E(f450(x1223,x1221),f450(x1223,x1222)) % 3.71/3.77 [123]~E(x1231,x1232)+E(f462(x1231,x1233),f462(x1232,x1233)) % 3.71/3.77 [124]~E(x1241,x1242)+E(f462(x1243,x1241),f462(x1243,x1242)) % 3.71/3.77 [125]~E(x1251,x1252)+E(f415(x1251,x1253),f415(x1252,x1253)) % 3.71/3.77 [126]~E(x1261,x1262)+E(f415(x1263,x1261),f415(x1263,x1262)) % 3.71/3.77 [127]~E(x1271,x1272)+E(f396(x1271,x1273),f396(x1272,x1273)) % 3.71/3.77 [128]~E(x1281,x1282)+E(f396(x1283,x1281),f396(x1283,x1282)) % 3.71/3.77 [129]~E(x1291,x1292)+E(f401(x1291,x1293),f401(x1292,x1293)) % 3.71/3.77 [130]~E(x1301,x1302)+E(f401(x1303,x1301),f401(x1303,x1302)) % 3.71/3.77 [131]~E(x1311,x1312)+E(f397(x1311,x1313),f397(x1312,x1313)) % 3.71/3.77 [132]~E(x1321,x1322)+E(f397(x1323,x1321),f397(x1323,x1322)) % 3.71/3.77 [133]~E(x1331,x1332)+E(f425(x1331,x1333),f425(x1332,x1333)) % 3.71/3.77 [134]~E(x1341,x1342)+E(f425(x1343,x1341),f425(x1343,x1342)) % 3.71/3.77 [135]~E(x1351,x1352)+E(f368(x1351,x1353),f368(x1352,x1353)) % 3.71/3.77 [136]~E(x1361,x1362)+E(f368(x1363,x1361),f368(x1363,x1362)) % 3.71/3.77 [137]~E(x1371,x1372)+E(f460(x1371,x1373),f460(x1372,x1373)) % 3.71/3.77 [138]~E(x1381,x1382)+E(f460(x1383,x1381),f460(x1383,x1382)) % 3.71/3.77 [139]~E(x1391,x1392)+E(f79(x1391,x1393),f79(x1392,x1393)) % 3.71/3.77 [140]~E(x1401,x1402)+E(f79(x1403,x1401),f79(x1403,x1402)) % 3.71/3.77 [141]~E(x1411,x1412)+E(f419(x1411,x1413),f419(x1412,x1413)) % 3.71/3.77 [142]~E(x1421,x1422)+E(f419(x1423,x1421),f419(x1423,x1422)) % 3.71/3.77 [143]~E(x1431,x1432)+E(f291(x1431,x1433,x1434),f291(x1432,x1433,x1434)) % 3.71/3.77 [144]~E(x1441,x1442)+E(f291(x1443,x1441,x1444),f291(x1443,x1442,x1444)) % 3.71/3.77 [145]~E(x1451,x1452)+E(f291(x1453,x1454,x1451),f291(x1453,x1454,x1452)) % 3.71/3.77 [146]~E(x1461,x1462)+E(f392(x1461,x1463),f392(x1462,x1463)) % 3.71/3.77 [147]~E(x1471,x1472)+E(f392(x1473,x1471),f392(x1473,x1472)) % 3.71/3.77 [148]~E(x1481,x1482)+E(f441(x1481,x1483),f441(x1482,x1483)) % 3.71/3.77 [149]~E(x1491,x1492)+E(f441(x1493,x1491),f441(x1493,x1492)) % 3.71/3.77 [150]~E(x1501,x1502)+E(f422(x1501,x1503),f422(x1502,x1503)) % 3.71/3.77 [151]~E(x1511,x1512)+E(f422(x1513,x1511),f422(x1513,x1512)) % 3.71/3.77 [152]~E(x1521,x1522)+E(f92(x1521),f92(x1522)) % 3.71/3.77 [153]~E(x1531,x1532)+E(f372(x1531,x1533),f372(x1532,x1533)) % 3.71/3.77 [154]~E(x1541,x1542)+E(f372(x1543,x1541),f372(x1543,x1542)) % 3.71/3.77 [155]~E(x1551,x1552)+E(f164(x1551,x1553),f164(x1552,x1553)) % 3.71/3.77 [156]~E(x1561,x1562)+E(f164(x1563,x1561),f164(x1563,x1562)) % 3.71/3.77 [157]~E(x1571,x1572)+E(f158(x1571,x1573),f158(x1572,x1573)) % 3.71/3.77 [158]~E(x1581,x1582)+E(f158(x1583,x1581),f158(x1583,x1582)) % 3.71/3.77 [159]~E(x1591,x1592)+E(f435(x1591,x1593),f435(x1592,x1593)) % 3.71/3.77 [160]~E(x1601,x1602)+E(f435(x1603,x1601),f435(x1603,x1602)) % 3.71/3.77 [161]~E(x1611,x1612)+E(f426(x1611,x1613),f426(x1612,x1613)) % 3.71/3.77 [162]~E(x1621,x1622)+E(f426(x1623,x1621),f426(x1623,x1622)) % 3.71/3.77 [163]~E(x1631,x1632)+E(f273(x1631,x1633),f273(x1632,x1633)) % 3.71/3.77 [164]~E(x1641,x1642)+E(f273(x1643,x1641),f273(x1643,x1642)) % 3.71/3.77 [165]~E(x1651,x1652)+E(f478(x1651,x1653),f478(x1652,x1653)) % 3.71/3.77 [166]~E(x1661,x1662)+E(f478(x1663,x1661),f478(x1663,x1662)) % 3.71/3.77 [167]~E(x1671,x1672)+E(f377(x1671,x1673),f377(x1672,x1673)) % 3.71/3.77 [168]~E(x1681,x1682)+E(f377(x1683,x1681),f377(x1683,x1682)) % 3.71/3.77 [169]~E(x1691,x1692)+E(f413(x1691,x1693),f413(x1692,x1693)) % 3.71/3.77 [170]~E(x1701,x1702)+E(f413(x1703,x1701),f413(x1703,x1702)) % 3.71/3.77 [171]~E(x1711,x1712)+E(f387(x1711,x1713),f387(x1712,x1713)) % 3.71/3.77 [172]~E(x1721,x1722)+E(f387(x1723,x1721),f387(x1723,x1722)) % 3.71/3.77 [173]~E(x1731,x1732)+E(f475(x1731,x1733),f475(x1732,x1733)) % 3.71/3.77 [174]~E(x1741,x1742)+E(f475(x1743,x1741),f475(x1743,x1742)) % 3.71/3.77 [175]~E(x1751,x1752)+E(f107(x1751,x1753,x1754),f107(x1752,x1753,x1754)) % 3.71/3.77 [176]~E(x1761,x1762)+E(f107(x1763,x1761,x1764),f107(x1763,x1762,x1764)) % 3.71/3.77 [177]~E(x1771,x1772)+E(f107(x1773,x1774,x1771),f107(x1773,x1774,x1772)) % 3.71/3.77 [178]~E(x1781,x1782)+E(f282(x1781,x1783,x1784),f282(x1782,x1783,x1784)) % 3.71/3.77 [179]~E(x1791,x1792)+E(f282(x1793,x1791,x1794),f282(x1793,x1792,x1794)) % 3.71/3.77 [180]~E(x1801,x1802)+E(f282(x1803,x1804,x1801),f282(x1803,x1804,x1802)) % 3.71/3.77 [181]~E(x1811,x1812)+E(f94(x1811),f94(x1812)) % 3.71/3.77 [182]~E(x1821,x1822)+E(f445(x1821,x1823),f445(x1822,x1823)) % 3.71/3.77 [183]~E(x1831,x1832)+E(f445(x1833,x1831),f445(x1833,x1832)) % 3.71/3.77 [184]~E(x1841,x1842)+E(f432(x1841,x1843),f432(x1842,x1843)) % 3.71/3.77 [185]~E(x1851,x1852)+E(f432(x1853,x1851),f432(x1853,x1852)) % 3.71/3.77 [186]~E(x1861,x1862)+E(f137(x1861),f137(x1862)) % 3.71/3.77 [187]~E(x1871,x1872)+E(f376(x1871,x1873),f376(x1872,x1873)) % 3.71/3.77 [188]~E(x1881,x1882)+E(f376(x1883,x1881),f376(x1883,x1882)) % 3.71/3.77 [189]~E(x1891,x1892)+E(f427(x1891,x1893),f427(x1892,x1893)) % 3.71/3.77 [190]~E(x1901,x1902)+E(f427(x1903,x1901),f427(x1903,x1902)) % 3.71/3.77 [191]~E(x1911,x1912)+E(f436(x1911,x1913),f436(x1912,x1913)) % 3.71/3.77 [192]~E(x1921,x1922)+E(f436(x1923,x1921),f436(x1923,x1922)) % 3.71/3.77 [193]~E(x1931,x1932)+E(f42(x1931,x1933),f42(x1932,x1933)) % 3.71/3.77 [194]~E(x1941,x1942)+E(f42(x1943,x1941),f42(x1943,x1942)) % 3.71/3.77 [195]~E(x1951,x1952)+E(f299(x1951,x1953),f299(x1952,x1953)) % 3.71/3.77 [196]~E(x1961,x1962)+E(f299(x1963,x1961),f299(x1963,x1962)) % 3.71/3.77 [197]~E(x1971,x1972)+E(f414(x1971,x1973),f414(x1972,x1973)) % 3.71/3.77 [198]~E(x1981,x1982)+E(f414(x1983,x1981),f414(x1983,x1982)) % 3.71/3.77 [199]~E(x1991,x1992)+E(f434(x1991,x1993),f434(x1992,x1993)) % 3.71/3.77 [200]~E(x2001,x2002)+E(f434(x2003,x2001),f434(x2003,x2002)) % 3.71/3.77 [201]~E(x2011,x2012)+E(f202(x2011,x2013,x2014),f202(x2012,x2013,x2014)) % 3.71/3.77 [202]~E(x2021,x2022)+E(f202(x2023,x2021,x2024),f202(x2023,x2022,x2024)) % 3.71/3.77 [203]~E(x2031,x2032)+E(f202(x2033,x2034,x2031),f202(x2033,x2034,x2032)) % 3.71/3.77 [204]~E(x2041,x2042)+E(f388(x2041,x2043),f388(x2042,x2043)) % 3.71/3.77 [205]~E(x2051,x2052)+E(f388(x2053,x2051),f388(x2053,x2052)) % 3.71/3.77 [206]~E(x2061,x2062)+E(f493(x2061,x2063),f493(x2062,x2063)) % 3.71/3.77 [207]~E(x2071,x2072)+E(f493(x2073,x2071),f493(x2073,x2072)) % 3.71/3.77 [208]~E(x2081,x2082)+E(f253(x2081,x2083,x2084),f253(x2082,x2083,x2084)) % 3.71/3.77 [209]~E(x2091,x2092)+E(f253(x2093,x2091,x2094),f253(x2093,x2092,x2094)) % 3.71/3.77 [210]~E(x2101,x2102)+E(f253(x2103,x2104,x2101),f253(x2103,x2104,x2102)) % 3.71/3.77 [211]~E(x2111,x2112)+E(f406(x2111,x2113),f406(x2112,x2113)) % 3.71/3.77 [212]~E(x2121,x2122)+E(f406(x2123,x2121),f406(x2123,x2122)) % 3.71/3.77 [213]~E(x2131,x2132)+E(f498(x2131,x2133),f498(x2132,x2133)) % 3.71/3.77 [214]~E(x2141,x2142)+E(f498(x2143,x2141),f498(x2143,x2142)) % 3.71/3.77 [215]~E(x2151,x2152)+E(f185(x2151,x2153,x2154),f185(x2152,x2153,x2154)) % 3.71/3.77 [216]~E(x2161,x2162)+E(f185(x2163,x2161,x2164),f185(x2163,x2162,x2164)) % 3.71/3.77 [217]~E(x2171,x2172)+E(f185(x2173,x2174,x2171),f185(x2173,x2174,x2172)) % 3.71/3.77 [218]~E(x2181,x2182)+E(f488(x2181,x2183),f488(x2182,x2183)) % 3.71/3.77 [219]~E(x2191,x2192)+E(f488(x2193,x2191),f488(x2193,x2192)) % 3.71/3.77 [220]~E(x2201,x2202)+E(f437(x2201,x2203),f437(x2202,x2203)) % 3.71/3.77 [221]~E(x2211,x2212)+E(f437(x2213,x2211),f437(x2213,x2212)) % 3.71/3.77 [222]~E(x2221,x2222)+E(f389(x2221,x2223),f389(x2222,x2223)) % 3.71/3.77 [223]~E(x2231,x2232)+E(f389(x2233,x2231),f389(x2233,x2232)) % 3.71/3.77 [224]~E(x2241,x2242)+E(f139(x2241),f139(x2242)) % 3.71/3.77 [225]~E(x2251,x2252)+E(f132(x2251,x2253,x2254),f132(x2252,x2253,x2254)) % 3.71/3.77 [226]~E(x2261,x2262)+E(f132(x2263,x2261,x2264),f132(x2263,x2262,x2264)) % 3.71/3.77 [227]~E(x2271,x2272)+E(f132(x2273,x2274,x2271),f132(x2273,x2274,x2272)) % 3.71/3.77 [228]~E(x2281,x2282)+E(f508(x2281,x2283),f508(x2282,x2283)) % 3.71/3.77 [229]~E(x2291,x2292)+E(f508(x2293,x2291),f508(x2293,x2292)) % 3.71/3.77 [230]~E(x2301,x2302)+E(f297(x2301,x2303,x2304),f297(x2302,x2303,x2304)) % 3.71/3.77 [231]~E(x2311,x2312)+E(f297(x2313,x2311,x2314),f297(x2313,x2312,x2314)) % 3.71/3.77 [232]~E(x2321,x2322)+E(f297(x2323,x2324,x2321),f297(x2323,x2324,x2322)) % 3.71/3.77 [233]~E(x2331,x2332)+E(f240(x2331,x2333,x2334,x2335),f240(x2332,x2333,x2334,x2335)) % 3.71/3.77 [234]~E(x2341,x2342)+E(f240(x2343,x2341,x2344,x2345),f240(x2343,x2342,x2344,x2345)) % 3.71/3.77 [235]~E(x2351,x2352)+E(f240(x2353,x2354,x2351,x2355),f240(x2353,x2354,x2352,x2355)) % 3.71/3.77 [236]~E(x2361,x2362)+E(f240(x2363,x2364,x2365,x2361),f240(x2363,x2364,x2365,x2362)) % 3.71/3.77 [237]~E(x2371,x2372)+E(f86(x2371),f86(x2372)) % 3.71/3.77 [238]~E(x2381,x2382)+E(f17(x2381),f17(x2382)) % 3.71/3.77 [239]~E(x2391,x2392)+E(f407(x2391,x2393),f407(x2392,x2393)) % 3.71/3.77 [240]~E(x2401,x2402)+E(f407(x2403,x2401),f407(x2403,x2402)) % 3.71/3.77 [241]~E(x2411,x2412)+E(f412(x2411,x2413),f412(x2412,x2413)) % 3.71/3.77 [242]~E(x2421,x2422)+E(f412(x2423,x2421),f412(x2423,x2422)) % 3.71/3.77 [243]~E(x2431,x2432)+E(f370(x2431,x2433),f370(x2432,x2433)) % 3.71/3.77 [244]~E(x2441,x2442)+E(f370(x2443,x2441),f370(x2443,x2442)) % 3.71/3.77 [245]~E(x2451,x2452)+E(f231(x2451,x2453,x2454),f231(x2452,x2453,x2454)) % 3.71/3.77 [246]~E(x2461,x2462)+E(f231(x2463,x2461,x2464),f231(x2463,x2462,x2464)) % 3.71/3.77 [247]~E(x2471,x2472)+E(f231(x2473,x2474,x2471),f231(x2473,x2474,x2472)) % 3.71/3.77 [248]~E(x2481,x2482)+E(f230(x2481,x2483,x2484),f230(x2482,x2483,x2484)) % 3.71/3.77 [249]~E(x2491,x2492)+E(f230(x2493,x2491,x2494),f230(x2493,x2492,x2494)) % 3.71/3.77 [250]~E(x2501,x2502)+E(f230(x2503,x2504,x2501),f230(x2503,x2504,x2502)) % 3.71/3.77 [251]~E(x2511,x2512)+E(f470(x2511),f470(x2512)) % 3.71/3.77 [252]~E(x2521,x2522)+E(f220(x2521),f220(x2522)) % 3.71/3.77 [253]~E(x2531,x2532)+E(f290(x2531,x2533,x2534),f290(x2532,x2533,x2534)) % 3.71/3.77 [254]~E(x2541,x2542)+E(f290(x2543,x2541,x2544),f290(x2543,x2542,x2544)) % 3.71/3.77 [255]~E(x2551,x2552)+E(f290(x2553,x2554,x2551),f290(x2553,x2554,x2552)) % 3.71/3.77 [256]~E(x2561,x2562)+E(f213(x2561,x2563,x2564,x2565),f213(x2562,x2563,x2564,x2565)) % 3.71/3.77 [257]~E(x2571,x2572)+E(f213(x2573,x2571,x2574,x2575),f213(x2573,x2572,x2574,x2575)) % 3.71/3.77 [258]~E(x2581,x2582)+E(f213(x2583,x2584,x2581,x2585),f213(x2583,x2584,x2582,x2585)) % 3.71/3.77 [259]~E(x2591,x2592)+E(f213(x2593,x2594,x2595,x2591),f213(x2593,x2594,x2595,x2592)) % 3.71/3.77 [260]~E(x2601,x2602)+E(f112(x2601,x2603,x2604),f112(x2602,x2603,x2604)) % 3.71/3.77 [261]~E(x2611,x2612)+E(f112(x2613,x2611,x2614),f112(x2613,x2612,x2614)) % 3.71/3.77 [262]~E(x2621,x2622)+E(f112(x2623,x2624,x2621),f112(x2623,x2624,x2622)) % 3.71/3.77 [263]~E(x2631,x2632)+E(f154(x2631,x2633),f154(x2632,x2633)) % 3.71/3.77 [264]~E(x2641,x2642)+E(f154(x2643,x2641),f154(x2643,x2642)) % 3.71/3.77 [265]~E(x2651,x2652)+E(f251(x2651,x2653,x2654),f251(x2652,x2653,x2654)) % 3.71/3.77 [266]~E(x2661,x2662)+E(f251(x2663,x2661,x2664),f251(x2663,x2662,x2664)) % 3.71/3.77 [267]~E(x2671,x2672)+E(f251(x2673,x2674,x2671),f251(x2673,x2674,x2672)) % 3.71/3.77 [268]~E(x2681,x2682)+E(f418(x2681,x2683),f418(x2682,x2683)) % 3.71/3.77 [269]~E(x2691,x2692)+E(f418(x2693,x2691),f418(x2693,x2692)) % 3.71/3.77 [270]~E(x2701,x2702)+E(f385(x2701,x2703),f385(x2702,x2703)) % 3.71/3.77 [271]~E(x2711,x2712)+E(f385(x2713,x2711),f385(x2713,x2712)) % 3.71/3.77 [272]~E(x2721,x2722)+E(f263(x2721,x2723,x2724),f263(x2722,x2723,x2724)) % 3.71/3.77 [273]~E(x2731,x2732)+E(f263(x2733,x2731,x2734),f263(x2733,x2732,x2734)) % 3.71/3.77 [274]~E(x2741,x2742)+E(f263(x2743,x2744,x2741),f263(x2743,x2744,x2742)) % 3.71/3.77 [275]~E(x2751,x2752)+E(f180(x2751),f180(x2752)) % 3.71/3.77 [276]~E(x2761,x2762)+E(f243(x2761,x2763,x2764),f243(x2762,x2763,x2764)) % 3.71/3.77 [277]~E(x2771,x2772)+E(f243(x2773,x2771,x2774),f243(x2773,x2772,x2774)) % 3.71/3.77 [278]~E(x2781,x2782)+E(f243(x2783,x2784,x2781),f243(x2783,x2784,x2782)) % 3.71/3.77 [279]~E(x2791,x2792)+E(f471(x2791,x2793),f471(x2792,x2793)) % 3.71/3.77 [280]~E(x2801,x2802)+E(f471(x2803,x2801),f471(x2803,x2802)) % 3.71/3.77 [281]~E(x2811,x2812)+E(f289(x2811,x2813,x2814),f289(x2812,x2813,x2814)) % 3.71/3.77 [282]~E(x2821,x2822)+E(f289(x2823,x2821,x2824),f289(x2823,x2822,x2824)) % 3.71/3.77 [283]~E(x2831,x2832)+E(f289(x2833,x2834,x2831),f289(x2833,x2834,x2832)) % 3.71/3.77 [284]~E(x2841,x2842)+E(f374(x2841,x2843),f374(x2842,x2843)) % 3.71/3.77 [285]~E(x2851,x2852)+E(f374(x2853,x2851),f374(x2853,x2852)) % 3.71/3.77 [286]~E(x2861,x2862)+E(f430(x2861,x2863),f430(x2862,x2863)) % 3.71/3.77 [287]~E(x2871,x2872)+E(f430(x2873,x2871),f430(x2873,x2872)) % 3.71/3.77 [288]~E(x2881,x2882)+E(f192(x2881,x2883),f192(x2882,x2883)) % 3.71/3.77 [289]~E(x2891,x2892)+E(f192(x2893,x2891),f192(x2893,x2892)) % 3.71/3.77 [290]~E(x2901,x2902)+E(f160(x2901,x2903),f160(x2902,x2903)) % 3.71/3.77 [291]~E(x2911,x2912)+E(f160(x2913,x2911),f160(x2913,x2912)) % 3.71/3.77 [292]~E(x2921,x2922)+E(f378(x2921,x2923),f378(x2922,x2923)) % 3.71/3.77 [293]~E(x2931,x2932)+E(f378(x2933,x2931),f378(x2933,x2932)) % 3.71/3.77 [294]~E(x2941,x2942)+E(f36(x2941,x2943),f36(x2942,x2943)) % 3.71/3.77 [295]~E(x2951,x2952)+E(f36(x2953,x2951),f36(x2953,x2952)) % 3.71/3.77 [296]~E(x2961,x2962)+E(f501(x2961,x2963),f501(x2962,x2963)) % 3.71/3.77 [297]~E(x2971,x2972)+E(f501(x2973,x2971),f501(x2973,x2972)) % 3.71/3.77 [298]~E(x2981,x2982)+E(f359(x2981,x2983),f359(x2982,x2983)) % 3.71/3.77 [299]~E(x2991,x2992)+E(f359(x2993,x2991),f359(x2993,x2992)) % 3.71/3.77 [300]~E(x3001,x3002)+E(f587(x3001),f587(x3002)) % 3.71/3.77 [301]~E(x3011,x3012)+E(f295(x3011,x3013),f295(x3012,x3013)) % 3.71/3.77 [302]~E(x3021,x3022)+E(f295(x3023,x3021),f295(x3023,x3022)) % 3.71/3.77 [303]~E(x3031,x3032)+E(f583(x3031),f583(x3032)) % 3.71/3.77 [304]~E(x3041,x3042)+E(f507(x3041,x3043),f507(x3042,x3043)) % 3.71/3.77 [305]~E(x3051,x3052)+E(f507(x3053,x3051),f507(x3053,x3052)) % 3.71/3.77 [306]~E(x3061,x3062)+E(f189(x3061),f189(x3062)) % 3.71/3.77 [307]~E(x3071,x3072)+E(f486(x3071,x3073),f486(x3072,x3073)) % 3.71/3.77 [308]~E(x3081,x3082)+E(f486(x3083,x3081),f486(x3083,x3082)) % 3.71/3.77 [309]~E(x3091,x3092)+E(f245(x3091,x3093,x3094),f245(x3092,x3093,x3094)) % 3.71/3.77 [310]~E(x3101,x3102)+E(f245(x3103,x3101,x3104),f245(x3103,x3102,x3104)) % 3.71/3.77 [311]~E(x3111,x3112)+E(f245(x3113,x3114,x3111),f245(x3113,x3114,x3112)) % 3.71/3.77 [312]~E(x3121,x3122)+E(f286(x3121,x3123),f286(x3122,x3123)) % 3.71/3.77 [313]~E(x3131,x3132)+E(f286(x3133,x3131),f286(x3133,x3132)) % 3.71/3.77 [314]~E(x3141,x3142)+E(f78(x3141,x3143),f78(x3142,x3143)) % 3.71/3.77 [315]~E(x3151,x3152)+E(f78(x3153,x3151),f78(x3153,x3152)) % 3.71/3.77 [316]~E(x3161,x3162)+E(f18(x3161),f18(x3162)) % 3.71/3.77 [317]~E(x3171,x3172)+E(f45(x3171,x3173),f45(x3172,x3173)) % 3.71/3.77 [318]~E(x3181,x3182)+E(f45(x3183,x3181),f45(x3183,x3182)) % 3.71/3.77 [319]~E(x3191,x3192)+E(f110(x3191,x3193,x3194),f110(x3192,x3193,x3194)) % 3.71/3.77 [320]~E(x3201,x3202)+E(f110(x3203,x3201,x3204),f110(x3203,x3202,x3204)) % 3.71/3.77 [321]~E(x3211,x3212)+E(f110(x3213,x3214,x3211),f110(x3213,x3214,x3212)) % 3.71/3.77 [322]~E(x3221,x3222)+E(f409(x3221,x3223),f409(x3222,x3223)) % 3.71/3.77 [323]~E(x3231,x3232)+E(f409(x3233,x3231),f409(x3233,x3232)) % 3.71/3.77 [324]~E(x3241,x3242)+E(f83(x3241,x3243),f83(x3242,x3243)) % 3.71/3.77 [325]~E(x3251,x3252)+E(f83(x3253,x3251),f83(x3253,x3252)) % 3.71/3.77 [326]~E(x3261,x3262)+E(f123(x3261,x3263),f123(x3262,x3263)) % 3.71/3.77 [327]~E(x3271,x3272)+E(f123(x3273,x3271),f123(x3273,x3272)) % 3.71/3.77 [328]~E(x3281,x3282)+E(f258(x3281,x3283,x3284),f258(x3282,x3283,x3284)) % 3.71/3.77 [329]~E(x3291,x3292)+E(f258(x3293,x3291,x3294),f258(x3293,x3292,x3294)) % 3.71/3.77 [330]~E(x3301,x3302)+E(f258(x3303,x3304,x3301),f258(x3303,x3304,x3302)) % 3.71/3.77 [331]~E(x3311,x3312)+E(f296(x3311,x3313,x3314),f296(x3312,x3313,x3314)) % 3.71/3.77 [332]~E(x3321,x3322)+E(f296(x3323,x3321,x3324),f296(x3323,x3322,x3324)) % 3.71/3.77 [333]~E(x3331,x3332)+E(f296(x3333,x3334,x3331),f296(x3333,x3334,x3332)) % 3.71/3.77 [334]~E(x3341,x3342)+E(f309(x3341),f309(x3342)) % 3.71/3.77 [335]~E(x3351,x3352)+E(f239(x3351,x3353,x3354,x3355),f239(x3352,x3353,x3354,x3355)) % 3.71/3.77 [336]~E(x3361,x3362)+E(f239(x3363,x3361,x3364,x3365),f239(x3363,x3362,x3364,x3365)) % 3.71/3.77 [337]~E(x3371,x3372)+E(f239(x3373,x3374,x3371,x3375),f239(x3373,x3374,x3372,x3375)) % 3.71/3.77 [338]~E(x3381,x3382)+E(f239(x3383,x3384,x3385,x3381),f239(x3383,x3384,x3385,x3382)) % 3.71/3.77 [339]~E(x3391,x3392)+E(f162(x3391,x3393),f162(x3392,x3393)) % 3.71/3.77 [340]~E(x3401,x3402)+E(f162(x3403,x3401),f162(x3403,x3402)) % 3.71/3.77 [341]~E(x3411,x3412)+E(f183(x3411,x3413),f183(x3412,x3413)) % 3.71/3.77 [342]~E(x3421,x3422)+E(f183(x3423,x3421),f183(x3423,x3422)) % 3.71/3.77 [343]~E(x3431,x3432)+E(f428(x3431,x3433),f428(x3432,x3433)) % 3.71/3.77 [344]~E(x3441,x3442)+E(f428(x3443,x3441),f428(x3443,x3442)) % 3.71/3.77 [345]~E(x3451,x3452)+E(f410(x3451,x3453),f410(x3452,x3453)) % 3.71/3.77 [346]~E(x3461,x3462)+E(f410(x3463,x3461),f410(x3463,x3462)) % 3.71/3.77 [347]~E(x3471,x3472)+E(f521(x3471,x3473),f521(x3472,x3473)) % 3.71/3.77 [348]~E(x3481,x3482)+E(f521(x3483,x3481),f521(x3483,x3482)) % 3.71/3.77 [349]~E(x3491,x3492)+E(f496(x3491,x3493),f496(x3492,x3493)) % 3.71/3.77 [350]~E(x3501,x3502)+E(f496(x3503,x3501),f496(x3503,x3502)) % 3.71/3.77 [351]~E(x3511,x3512)+E(f232(x3511,x3513,x3514),f232(x3512,x3513,x3514)) % 3.71/3.77 [352]~E(x3521,x3522)+E(f232(x3523,x3521,x3524),f232(x3523,x3522,x3524)) % 3.71/3.77 [353]~E(x3531,x3532)+E(f232(x3533,x3534,x3531),f232(x3533,x3534,x3532)) % 3.71/3.77 [354]~E(x3541,x3542)+E(f259(x3541,x3543,x3544),f259(x3542,x3543,x3544)) % 3.71/3.77 [355]~E(x3551,x3552)+E(f259(x3553,x3551,x3554),f259(x3553,x3552,x3554)) % 3.71/3.77 [356]~E(x3561,x3562)+E(f259(x3563,x3564,x3561),f259(x3563,x3564,x3562)) % 3.71/3.77 [357]~E(x3571,x3572)+E(f197(x3571,x3573,x3574),f197(x3572,x3573,x3574)) % 3.71/3.77 [358]~E(x3581,x3582)+E(f197(x3583,x3581,x3584),f197(x3583,x3582,x3584)) % 3.71/3.77 [359]~E(x3591,x3592)+E(f197(x3593,x3594,x3591),f197(x3593,x3594,x3592)) % 3.71/3.77 [360]~E(x3601,x3602)+E(f157(x3601,x3603),f157(x3602,x3603)) % 3.71/3.77 [361]~E(x3611,x3612)+E(f157(x3613,x3611),f157(x3613,x3612)) % 3.71/3.77 [362]~E(x3621,x3622)+E(f208(x3621,x3623,x3624,x3625),f208(x3622,x3623,x3624,x3625)) % 3.71/3.77 [363]~E(x3631,x3632)+E(f208(x3633,x3631,x3634,x3635),f208(x3633,x3632,x3634,x3635)) % 3.71/3.77 [364]~E(x3641,x3642)+E(f208(x3643,x3644,x3641,x3645),f208(x3643,x3644,x3642,x3645)) % 3.71/3.77 [365]~E(x3651,x3652)+E(f208(x3653,x3654,x3655,x3651),f208(x3653,x3654,x3655,x3652)) % 3.71/3.77 [366]~E(x3661,x3662)+E(f209(x3661,x3663,x3664),f209(x3662,x3663,x3664)) % 3.71/3.77 [367]~E(x3671,x3672)+E(f209(x3673,x3671,x3674),f209(x3673,x3672,x3674)) % 3.71/3.77 [368]~E(x3681,x3682)+E(f209(x3683,x3684,x3681),f209(x3683,x3684,x3682)) % 3.71/3.77 [369]~E(x3691,x3692)+E(f256(x3691,x3693,x3694),f256(x3692,x3693,x3694)) % 3.71/3.77 [370]~E(x3701,x3702)+E(f256(x3703,x3701,x3704),f256(x3703,x3702,x3704)) % 3.71/3.77 [371]~E(x3711,x3712)+E(f256(x3713,x3714,x3711),f256(x3713,x3714,x3712)) % 3.71/3.77 [372]~E(x3721,x3722)+E(f442(x3721,x3723),f442(x3722,x3723)) % 3.71/3.77 [373]~E(x3731,x3732)+E(f442(x3733,x3731),f442(x3733,x3732)) % 3.71/3.77 [374]~E(x3741,x3742)+E(f270(x3741,x3743,x3744),f270(x3742,x3743,x3744)) % 3.71/3.77 [375]~E(x3751,x3752)+E(f270(x3753,x3751,x3754),f270(x3753,x3752,x3754)) % 3.71/3.77 [376]~E(x3761,x3762)+E(f270(x3763,x3764,x3761),f270(x3763,x3764,x3762)) % 3.71/3.77 [377]~E(x3771,x3772)+E(f93(x3771),f93(x3772)) % 3.71/3.77 [378]~E(x3781,x3782)+E(f431(x3781,x3783),f431(x3782,x3783)) % 3.71/3.77 [379]~E(x3791,x3792)+E(f431(x3793,x3791),f431(x3793,x3792)) % 3.71/3.77 [380]~E(x3801,x3802)+E(f95(x3801),f95(x3802)) % 3.71/3.77 [381]~E(x3811,x3812)+E(f375(x3811,x3813),f375(x3812,x3813)) % 3.71/3.77 [382]~E(x3821,x3822)+E(f375(x3823,x3821),f375(x3823,x3822)) % 3.71/3.77 [383]~E(x3831,x3832)+E(f400(x3831,x3833),f400(x3832,x3833)) % 3.71/3.77 [384]~E(x3841,x3842)+E(f400(x3843,x3841),f400(x3843,x3842)) % 3.71/3.77 [385]~E(x3851,x3852)+E(f19(x3851),f19(x3852)) % 3.71/3.77 [386]~E(x3861,x3862)+E(f181(x3861,x3863),f181(x3862,x3863)) % 3.71/3.77 [387]~E(x3871,x3872)+E(f181(x3873,x3871),f181(x3873,x3872)) % 3.71/3.77 [388]~E(x3881,x3882)+E(f305(x3881),f305(x3882)) % 3.71/3.77 [389]~E(x3891,x3892)+E(f80(x3891,x3893),f80(x3892,x3893)) % 3.71/3.77 [390]~E(x3901,x3902)+E(f80(x3903,x3901),f80(x3903,x3902)) % 3.71/3.77 [391]~E(x3911,x3912)+E(f104(x3911,x3913,x3914),f104(x3912,x3913,x3914)) % 3.71/3.77 [392]~E(x3921,x3922)+E(f104(x3923,x3921,x3924),f104(x3923,x3922,x3924)) % 3.71/3.77 [393]~E(x3931,x3932)+E(f104(x3933,x3934,x3931),f104(x3933,x3934,x3932)) % 3.71/3.77 [394]~E(x3941,x3942)+E(f246(x3941,x3943,x3944),f246(x3942,x3943,x3944)) % 3.71/3.77 [395]~E(x3951,x3952)+E(f246(x3953,x3951,x3954),f246(x3953,x3952,x3954)) % 3.71/3.77 [396]~E(x3961,x3962)+E(f246(x3963,x3964,x3961),f246(x3963,x3964,x3962)) % 3.71/3.77 [397]~E(x3971,x3972)+E(f480(x3971,x3973),f480(x3972,x3973)) % 3.71/3.77 [398]~E(x3981,x3982)+E(f480(x3983,x3981),f480(x3983,x3982)) % 3.71/3.77 [399]~E(x3991,x3992)+E(f260(x3991,x3993,x3994),f260(x3992,x3993,x3994)) % 3.71/3.77 [400]~E(x4001,x4002)+E(f260(x4003,x4001,x4004),f260(x4003,x4002,x4004)) % 3.71/3.77 [401]~E(x4011,x4012)+E(f260(x4013,x4014,x4011),f260(x4013,x4014,x4012)) % 3.71/3.77 [402]~E(x4021,x4022)+E(f393(x4021,x4023),f393(x4022,x4023)) % 3.71/3.77 [403]~E(x4031,x4032)+E(f393(x4033,x4031),f393(x4033,x4032)) % 3.71/3.77 [404]~E(x4041,x4042)+E(f119(x4041,x4043),f119(x4042,x4043)) % 3.71/3.77 [405]~E(x4051,x4052)+E(f119(x4053,x4051),f119(x4053,x4052)) % 3.71/3.77 [406]~E(x4061,x4062)+E(f248(x4061,x4063,x4064),f248(x4062,x4063,x4064)) % 3.71/3.77 [407]~E(x4071,x4072)+E(f248(x4073,x4071,x4074),f248(x4073,x4072,x4074)) % 3.71/3.77 [408]~E(x4081,x4082)+E(f248(x4083,x4084,x4081),f248(x4083,x4084,x4082)) % 3.71/3.77 [409]~E(x4091,x4092)+E(f423(x4091,x4093),f423(x4092,x4093)) % 3.71/3.77 [410]~E(x4101,x4102)+E(f423(x4103,x4101),f423(x4103,x4102)) % 3.71/3.77 [411]~E(x4111,x4112)+E(f386(x4111,x4113),f386(x4112,x4113)) % 3.71/3.77 [412]~E(x4121,x4122)+E(f386(x4123,x4121),f386(x4123,x4122)) % 3.71/3.77 [413]~E(x4131,x4132)+E(f81(x4131,x4133),f81(x4132,x4133)) % 3.71/3.77 [414]~E(x4141,x4142)+E(f81(x4143,x4141),f81(x4143,x4142)) % 3.71/3.77 [415]~E(x4151,x4152)+E(f492(x4151,x4153),f492(x4152,x4153)) % 3.71/3.77 [416]~E(x4161,x4162)+E(f492(x4163,x4161),f492(x4163,x4162)) % 3.71/3.77 [417]~E(x4171,x4172)+E(f26(x4171,x4173),f26(x4172,x4173)) % 3.71/3.77 [418]~E(x4181,x4182)+E(f26(x4183,x4181),f26(x4183,x4182)) % 3.71/3.77 [419]~E(x4191,x4192)+E(f217(x4191,x4193),f217(x4192,x4193)) % 3.71/3.77 [420]~E(x4201,x4202)+E(f217(x4203,x4201),f217(x4203,x4202)) % 3.71/3.77 [421]~E(x4211,x4212)+E(f479(x4211,x4213),f479(x4212,x4213)) % 3.71/3.77 [422]~E(x4221,x4222)+E(f479(x4223,x4221),f479(x4223,x4222)) % 3.71/3.77 [423]~E(x4231,x4232)+E(f276(x4231,x4233),f276(x4232,x4233)) % 3.71/3.77 [424]~E(x4241,x4242)+E(f276(x4243,x4241),f276(x4243,x4242)) % 3.71/3.77 [425]~E(x4251,x4252)+E(f473(x4251,x4253),f473(x4252,x4253)) % 3.71/3.77 [426]~E(x4261,x4262)+E(f473(x4263,x4261),f473(x4263,x4262)) % 3.71/3.77 [427]~E(x4271,x4272)+E(f502(x4271,x4273),f502(x4272,x4273)) % 3.71/3.77 [428]~E(x4281,x4282)+E(f502(x4283,x4281),f502(x4283,x4282)) % 3.71/3.77 [429]~E(x4291,x4292)+E(f265(x4291,x4293,x4294),f265(x4292,x4293,x4294)) % 3.71/3.77 [430]~E(x4301,x4302)+E(f265(x4303,x4301,x4304),f265(x4303,x4302,x4304)) % 3.71/3.77 [431]~E(x4311,x4312)+E(f265(x4313,x4314,x4311),f265(x4313,x4314,x4312)) % 3.71/3.77 [432]~E(x4321,x4322)+E(f308(x4321),f308(x4322)) % 3.71/3.77 [433]~E(x4331,x4332)+E(f147(x4331,x4333,x4334),f147(x4332,x4333,x4334)) % 3.71/3.77 [434]~E(x4341,x4342)+E(f147(x4343,x4341,x4344),f147(x4343,x4342,x4344)) % 3.71/3.77 [435]~E(x4351,x4352)+E(f147(x4353,x4354,x4351),f147(x4353,x4354,x4352)) % 3.71/3.77 [436]~E(x4361,x4362)+E(f175(x4361,x4363,x4364),f175(x4362,x4363,x4364)) % 3.71/3.77 [437]~E(x4371,x4372)+E(f175(x4373,x4371,x4374),f175(x4373,x4372,x4374)) % 3.71/3.77 [438]~E(x4381,x4382)+E(f175(x4383,x4384,x4381),f175(x4383,x4384,x4382)) % 3.71/3.77 [439]~E(x4391,x4392)+E(f235(x4391,x4393,x4394),f235(x4392,x4393,x4394)) % 3.71/3.77 [440]~E(x4401,x4402)+E(f235(x4403,x4401,x4404),f235(x4403,x4402,x4404)) % 3.71/3.77 [441]~E(x4411,x4412)+E(f235(x4413,x4414,x4411),f235(x4413,x4414,x4412)) % 3.71/3.77 [442]~E(x4421,x4422)+E(f61(x4421),f61(x4422)) % 3.71/3.77 [443]~E(x4431,x4432)+E(f122(x4431,x4433,x4434),f122(x4432,x4433,x4434)) % 3.71/3.77 [444]~E(x4441,x4442)+E(f122(x4443,x4441,x4444),f122(x4443,x4442,x4444)) % 3.71/3.77 [445]~E(x4451,x4452)+E(f122(x4453,x4454,x4451),f122(x4453,x4454,x4452)) % 3.71/3.77 [446]~E(x4461,x4462)+E(f214(x4461,x4463,x4464),f214(x4462,x4463,x4464)) % 3.71/3.77 [447]~E(x4471,x4472)+E(f214(x4473,x4471,x4474),f214(x4473,x4472,x4474)) % 3.71/3.77 [448]~E(x4481,x4482)+E(f214(x4483,x4484,x4481),f214(x4483,x4484,x4482)) % 3.71/3.77 [449]~E(x4491,x4492)+E(f39(x4491,x4493),f39(x4492,x4493)) % 3.71/3.77 [450]~E(x4501,x4502)+E(f39(x4503,x4501),f39(x4503,x4502)) % 3.71/3.77 [451]~E(x4511,x4512)+E(f23(x4511,x4513),f23(x4512,x4513)) % 3.71/3.77 [452]~E(x4521,x4522)+E(f23(x4523,x4521),f23(x4523,x4522)) % 3.71/3.77 [453]~E(x4531,x4532)+E(f126(x4531),f126(x4532)) % 3.71/3.77 [454]~E(x4541,x4542)+E(f153(x4541,x4543,x4544),f153(x4542,x4543,x4544)) % 3.71/3.77 [455]~E(x4551,x4552)+E(f153(x4553,x4551,x4554),f153(x4553,x4552,x4554)) % 3.71/3.77 [456]~E(x4561,x4562)+E(f153(x4563,x4564,x4561),f153(x4563,x4564,x4562)) % 3.71/3.77 [457]~E(x4571,x4572)+E(f429(x4571,x4573),f429(x4572,x4573)) % 3.71/3.77 [458]~E(x4581,x4582)+E(f429(x4583,x4581),f429(x4583,x4582)) % 3.71/3.77 [459]~E(x4591,x4592)+E(f269(x4591,x4593,x4594),f269(x4592,x4593,x4594)) % 3.71/3.77 [460]~E(x4601,x4602)+E(f269(x4603,x4601,x4604),f269(x4603,x4602,x4604)) % 3.71/3.77 [461]~E(x4611,x4612)+E(f269(x4613,x4614,x4611),f269(x4613,x4614,x4612)) % 3.71/3.77 [462]~E(x4621,x4622)+E(f187(x4621,x4623),f187(x4622,x4623)) % 3.71/3.77 [463]~E(x4631,x4632)+E(f187(x4633,x4631),f187(x4633,x4632)) % 3.71/3.77 [464]~E(x4641,x4642)+E(f155(x4641,x4643),f155(x4642,x4643)) % 3.71/3.77 [465]~E(x4651,x4652)+E(f155(x4653,x4651),f155(x4653,x4652)) % 3.71/3.77 [466]~E(x4661,x4662)+E(f300(x4661,x4663),f300(x4662,x4663)) % 3.71/3.77 [467]~E(x4671,x4672)+E(f300(x4673,x4671),f300(x4673,x4672)) % 3.71/3.77 [468]~E(x4681,x4682)+E(f284(x4681,x4683,x4684),f284(x4682,x4683,x4684)) % 3.71/3.77 [469]~E(x4691,x4692)+E(f284(x4693,x4691,x4694),f284(x4693,x4692,x4694)) % 3.71/3.77 [470]~E(x4701,x4702)+E(f284(x4703,x4704,x4701),f284(x4703,x4704,x4702)) % 3.71/3.77 [471]~E(x4711,x4712)+E(f117(x4711,x4713),f117(x4712,x4713)) % 3.71/3.77 [472]~E(x4721,x4722)+E(f117(x4723,x4721),f117(x4723,x4722)) % 3.71/3.77 [473]~E(x4731,x4732)+E(f484(x4731,x4733),f484(x4732,x4733)) % 3.71/3.77 [474]~E(x4741,x4742)+E(f484(x4743,x4741),f484(x4743,x4742)) % 3.71/3.77 [475]~E(x4751,x4752)+E(f215(x4751),f215(x4752)) % 3.71/3.77 [476]~E(x4761,x4762)+E(f499(x4761,x4763),f499(x4762,x4763)) % 3.71/3.77 [477]~E(x4771,x4772)+E(f499(x4773,x4771),f499(x4773,x4772)) % 3.71/3.77 [478]~E(x4781,x4782)+E(f96(x4781),f96(x4782)) % 3.71/3.77 [479]~E(x4791,x4792)+E(f101(x4791,x4793),f101(x4792,x4793)) % 3.71/3.77 [480]~E(x4801,x4802)+E(f101(x4803,x4801),f101(x4803,x4802)) % 3.71/3.77 [481]~E(x4811,x4812)+E(f494(x4811,x4813),f494(x4812,x4813)) % 3.71/3.77 [482]~E(x4821,x4822)+E(f494(x4823,x4821),f494(x4823,x4822)) % 3.71/3.77 [483]~E(x4831,x4832)+E(f206(x4831,x4833,x4834),f206(x4832,x4833,x4834)) % 3.71/3.77 [484]~E(x4841,x4842)+E(f206(x4843,x4841,x4844),f206(x4843,x4842,x4844)) % 3.71/3.77 [485]~E(x4851,x4852)+E(f206(x4853,x4854,x4851),f206(x4853,x4854,x4852)) % 3.71/3.77 [486]~E(x4861,x4862)+E(f564(x4861),f564(x4862)) % 3.71/3.77 [487]~E(x4871,x4872)+E(f169(x4871,x4873),f169(x4872,x4873)) % 3.71/3.77 [488]~E(x4881,x4882)+E(f169(x4883,x4881),f169(x4883,x4882)) % 3.71/3.77 [489]~E(x4891,x4892)+E(f542(x4891,x4893),f542(x4892,x4893)) % 3.71/3.77 [490]~E(x4901,x4902)+E(f542(x4903,x4901),f542(x4903,x4902)) % 3.71/3.77 [491]~E(x4911,x4912)+E(f176(x4911,x4913,x4914),f176(x4912,x4913,x4914)) % 3.71/3.77 [492]~E(x4921,x4922)+E(f176(x4923,x4921,x4924),f176(x4923,x4922,x4924)) % 3.71/3.77 [493]~E(x4931,x4932)+E(f176(x4933,x4934,x4931),f176(x4933,x4934,x4932)) % 3.71/3.77 [494]~E(x4941,x4942)+E(f161(x4941,x4943),f161(x4942,x4943)) % 3.71/3.77 [495]~E(x4951,x4952)+E(f161(x4953,x4951),f161(x4953,x4952)) % 3.71/3.77 [496]~E(x4961,x4962)+E(f195(x4961,x4963),f195(x4962,x4963)) % 3.71/3.77 [497]~E(x4971,x4972)+E(f195(x4973,x4971),f195(x4973,x4972)) % 3.71/3.77 [498]~E(x4981,x4982)+E(f371(x4981,x4983),f371(x4982,x4983)) % 3.71/3.77 [499]~E(x4991,x4992)+E(f371(x4993,x4991),f371(x4993,x4992)) % 3.71/3.77 [500]~E(x5001,x5002)+E(f211(x5001,x5003,x5004),f211(x5002,x5003,x5004)) % 3.71/3.77 [501]~E(x5011,x5012)+E(f211(x5013,x5011,x5014),f211(x5013,x5012,x5014)) % 3.71/3.77 [502]~E(x5021,x5022)+E(f211(x5023,x5024,x5021),f211(x5023,x5024,x5022)) % 3.71/3.77 [503]~E(x5031,x5032)+E(f20(x5031,x5033),f20(x5032,x5033)) % 3.71/3.77 [504]~E(x5041,x5042)+E(f20(x5043,x5041),f20(x5043,x5042)) % 3.71/3.77 [505]~E(x5051,x5052)+E(f311(x5051),f311(x5052)) % 3.71/3.77 [506]~E(x5061,x5062)+E(f21(x5061,x5063),f21(x5062,x5063)) % 3.71/3.77 [507]~E(x5071,x5072)+E(f21(x5073,x5071),f21(x5073,x5072)) % 3.71/3.77 [508]~E(x5081,x5082)+E(f500(x5081,x5083),f500(x5082,x5083)) % 3.71/3.77 [509]~E(x5091,x5092)+E(f500(x5093,x5091),f500(x5093,x5092)) % 3.71/3.77 [510]~E(x5101,x5102)+E(f67(x5101),f67(x5102)) % 3.71/3.77 [511]~E(x5111,x5112)+E(f66(x5111),f66(x5112)) % 3.71/3.77 [512]~E(x5121,x5122)+E(f25(x5121,x5123),f25(x5122,x5123)) % 3.71/3.77 [513]~E(x5131,x5132)+E(f25(x5133,x5131),f25(x5133,x5132)) % 3.71/3.77 [514]~E(x5141,x5142)+E(f474(x5141,x5143),f474(x5142,x5143)) % 3.71/3.77 [515]~E(x5151,x5152)+E(f474(x5153,x5151),f474(x5153,x5152)) % 3.71/3.77 [516]~E(x5161,x5162)+E(f125(x5161,x5163),f125(x5162,x5163)) % 3.71/3.77 [517]~E(x5171,x5172)+E(f125(x5173,x5171),f125(x5173,x5172)) % 3.71/3.77 [518]~E(x5181,x5182)+E(f113(x5181,x5183),f113(x5182,x5183)) % 3.71/3.77 [519]~E(x5191,x5192)+E(f113(x5193,x5191),f113(x5193,x5192)) % 3.71/3.77 [520]~E(x5201,x5202)+E(f31(x5201,x5203),f31(x5202,x5203)) % 3.71/3.77 [521]~E(x5211,x5212)+E(f31(x5213,x5211),f31(x5213,x5212)) % 3.71/3.77 [522]~E(x5221,x5222)+E(f472(x5221,x5223),f472(x5222,x5223)) % 3.71/3.77 [523]~E(x5231,x5232)+E(f472(x5233,x5231),f472(x5233,x5232)) % 3.71/3.77 [524]~E(x5241,x5242)+E(f485(x5241,x5243),f485(x5242,x5243)) % 3.71/3.77 [525]~E(x5251,x5252)+E(f485(x5253,x5251),f485(x5253,x5252)) % 3.71/3.77 [526]~E(x5261,x5262)+E(f129(x5261),f129(x5262)) % 3.71/3.77 [527]~E(x5271,x5272)+E(f167(x5271,x5273),f167(x5272,x5273)) % 3.71/3.77 [528]~E(x5281,x5282)+E(f167(x5283,x5281),f167(x5283,x5282)) % 3.71/3.77 [529]~E(x5291,x5292)+E(f156(x5291,x5293),f156(x5292,x5293)) % 3.71/3.77 [530]~E(x5301,x5302)+E(f156(x5303,x5301),f156(x5303,x5302)) % 3.71/3.77 [531]~E(x5311,x5312)+E(f46(x5311,x5313),f46(x5312,x5313)) % 3.71/3.77 [532]~E(x5321,x5322)+E(f46(x5323,x5321),f46(x5323,x5322)) % 3.71/3.77 [533]~E(x5331,x5332)+E(f190(x5331),f190(x5332)) % 3.71/3.77 [534]~E(x5341,x5342)+E(f178(x5341,x5343,x5344),f178(x5342,x5343,x5344)) % 3.71/3.77 [535]~E(x5351,x5352)+E(f178(x5353,x5351,x5354),f178(x5353,x5352,x5354)) % 3.71/3.77 [536]~E(x5361,x5362)+E(f178(x5363,x5364,x5361),f178(x5363,x5364,x5362)) % 3.71/3.77 [537]~E(x5371,x5372)+E(f481(x5371,x5373),f481(x5372,x5373)) % 3.71/3.77 [538]~E(x5381,x5382)+E(f481(x5383,x5381),f481(x5383,x5382)) % 3.71/3.77 [539]~E(x5391,x5392)+E(f27(x5391,x5393),f27(x5392,x5393)) % 3.71/3.77 [540]~E(x5401,x5402)+E(f27(x5403,x5401),f27(x5403,x5402)) % 3.71/3.77 [541]~E(x5411,x5412)+E(f272(x5411,x5413),f272(x5412,x5413)) % 3.71/3.77 [542]~E(x5421,x5422)+E(f272(x5423,x5421),f272(x5423,x5422)) % 3.71/3.77 [543]~E(x5431,x5432)+E(f108(x5431,x5433,x5434),f108(x5432,x5433,x5434)) % 3.71/3.77 [544]~E(x5441,x5442)+E(f108(x5443,x5441,x5444),f108(x5443,x5442,x5444)) % 3.71/3.77 [545]~E(x5451,x5452)+E(f108(x5453,x5454,x5451),f108(x5453,x5454,x5452)) % 3.71/3.77 [546]~E(x5461,x5462)+E(f490(x5461,x5463),f490(x5462,x5463)) % 3.71/3.77 [547]~E(x5471,x5472)+E(f490(x5473,x5471),f490(x5473,x5472)) % 3.71/3.77 [548]~E(x5481,x5482)+E(f32(x5481,x5483),f32(x5482,x5483)) % 3.71/3.77 [549]~E(x5491,x5492)+E(f32(x5493,x5491),f32(x5493,x5492)) % 3.71/3.77 [550]~E(x5501,x5502)+E(f99(x5501),f99(x5502)) % 3.71/3.77 [551]~E(x5511,x5512)+E(f261(x5511,x5513,x5514),f261(x5512,x5513,x5514)) % 3.71/3.77 [552]~E(x5521,x5522)+E(f261(x5523,x5521,x5524),f261(x5523,x5522,x5524)) % 3.71/3.77 [553]~E(x5531,x5532)+E(f261(x5533,x5534,x5531),f261(x5533,x5534,x5532)) % 3.71/3.77 [554]~E(x5541,x5542)+E(f234(x5541,x5543,x5544),f234(x5542,x5543,x5544)) % 3.71/3.77 [555]~E(x5551,x5552)+E(f234(x5553,x5551,x5554),f234(x5553,x5552,x5554)) % 3.71/3.77 [556]~E(x5561,x5562)+E(f234(x5563,x5564,x5561),f234(x5563,x5564,x5562)) % 3.71/3.77 [557]~E(x5571,x5572)+E(f33(x5571,x5573),f33(x5572,x5573)) % 3.71/3.77 [558]~E(x5581,x5582)+E(f33(x5583,x5581),f33(x5583,x5582)) % 3.71/3.77 [559]~E(x5591,x5592)+E(f82(x5591,x5593),f82(x5592,x5593)) % 3.71/3.77 [560]~E(x5601,x5602)+E(f82(x5603,x5601),f82(x5603,x5602)) % 3.71/3.77 [561]~E(x5611,x5612)+E(f170(x5611),f170(x5612)) % 3.71/3.77 [562]~E(x5621,x5622)+E(f103(x5621,x5623),f103(x5622,x5623)) % 3.71/3.77 [563]~E(x5631,x5632)+E(f103(x5633,x5631),f103(x5633,x5632)) % 3.71/3.77 [564]~E(x5641,x5642)+E(f40(x5641,x5643),f40(x5642,x5643)) % 3.71/3.77 [565]~E(x5651,x5652)+E(f40(x5653,x5651),f40(x5653,x5652)) % 3.71/3.77 [566]~E(x5661,x5662)+E(f544(x5661,x5663),f544(x5662,x5663)) % 3.71/3.77 [567]~E(x5671,x5672)+E(f544(x5673,x5671),f544(x5673,x5672)) % 3.71/3.77 [568]~E(x5681,x5682)+E(f504(x5681,x5683),f504(x5682,x5683)) % 3.71/3.77 [569]~E(x5691,x5692)+E(f504(x5693,x5691),f504(x5693,x5692)) % 3.71/3.77 [570]~E(x5701,x5702)+E(f237(x5701,x5703,x5704),f237(x5702,x5703,x5704)) % 3.71/3.77 [571]~E(x5711,x5712)+E(f237(x5713,x5711,x5714),f237(x5713,x5712,x5714)) % 3.71/3.77 [572]~E(x5721,x5722)+E(f237(x5723,x5724,x5721),f237(x5723,x5724,x5722)) % 3.71/3.77 [573]~E(x5731,x5732)+E(f47(x5731,x5733),f47(x5732,x5733)) % 3.71/3.77 [574]~E(x5741,x5742)+E(f47(x5743,x5741),f47(x5743,x5742)) % 3.71/3.77 [575]~E(x5751,x5752)+E(f35(x5751,x5753),f35(x5752,x5753)) % 3.71/3.77 [576]~E(x5761,x5762)+E(f35(x5763,x5761),f35(x5763,x5762)) % 3.71/3.77 [577]~E(x5771,x5772)+E(f196(x5771,x5773,x5774),f196(x5772,x5773,x5774)) % 3.71/3.77 [578]~E(x5781,x5782)+E(f196(x5783,x5781,x5784),f196(x5783,x5782,x5784)) % 3.71/3.77 [579]~E(x5791,x5792)+E(f196(x5793,x5794,x5791),f196(x5793,x5794,x5792)) % 3.71/3.77 [580]~E(x5801,x5802)+E(f519(x5801,x5803),f519(x5802,x5803)) % 3.71/3.77 [581]~E(x5811,x5812)+E(f519(x5813,x5811),f519(x5813,x5812)) % 3.71/3.77 [582]~E(x5821,x5822)+E(f43(x5821,x5823),f43(x5822,x5823)) % 3.71/3.77 [583]~E(x5831,x5832)+E(f43(x5833,x5831),f43(x5833,x5832)) % 3.71/3.77 [584]~E(x5841,x5842)+E(f306(x5841,x5843,x5844),f306(x5842,x5843,x5844)) % 3.71/3.77 [585]~E(x5851,x5852)+E(f306(x5853,x5851,x5854),f306(x5853,x5852,x5854)) % 3.71/3.77 [586]~E(x5861,x5862)+E(f306(x5863,x5864,x5861),f306(x5863,x5864,x5862)) % 3.71/3.77 [587]~E(x5871,x5872)+E(f48(x5871,x5873),f48(x5872,x5873)) % 3.71/3.77 [588]~E(x5881,x5882)+E(f48(x5883,x5881),f48(x5883,x5882)) % 3.71/3.77 [589]~E(x5891,x5892)+E(f278(x5891,x5893),f278(x5892,x5893)) % 3.71/3.77 [590]~E(x5901,x5902)+E(f278(x5903,x5901),f278(x5903,x5902)) % 3.71/3.77 [591]~E(x5911,x5912)+E(f62(x5911),f62(x5912)) % 3.71/3.77 [592]~E(x5921,x5922)+E(f275(x5921,x5923),f275(x5922,x5923)) % 3.71/3.77 [593]~E(x5931,x5932)+E(f275(x5933,x5931),f275(x5933,x5932)) % 3.71/3.77 [594]~E(x5941,x5942)+E(f236(x5941,x5943,x5944),f236(x5942,x5943,x5944)) % 3.71/3.77 [595]~E(x5951,x5952)+E(f236(x5953,x5951,x5954),f236(x5953,x5952,x5954)) % 3.71/3.77 [596]~E(x5961,x5962)+E(f236(x5963,x5964,x5961),f236(x5963,x5964,x5962)) % 3.71/3.77 [597]~E(x5971,x5972)+E(f205(x5971,x5973,x5974),f205(x5972,x5973,x5974)) % 3.71/3.77 [598]~E(x5981,x5982)+E(f205(x5983,x5981,x5984),f205(x5983,x5982,x5984)) % 3.71/3.77 [599]~E(x5991,x5992)+E(f205(x5993,x5994,x5991),f205(x5993,x5994,x5992)) % 3.71/3.77 [600]~E(x6001,x6002)+E(f28(x6001,x6003),f28(x6002,x6003)) % 3.71/3.77 [601]~E(x6011,x6012)+E(f28(x6013,x6011),f28(x6013,x6012)) % 3.71/3.77 [602]~E(x6021,x6022)+E(f144(x6021,x6023),f144(x6022,x6023)) % 3.71/3.77 [603]~E(x6031,x6032)+E(f144(x6033,x6031),f144(x6033,x6032)) % 3.71/3.77 [604]~E(x6041,x6042)+E(f136(x6041),f136(x6042)) % 3.71/3.77 [605]~E(x6051,x6052)+E(f84(x6051,x6053),f84(x6052,x6053)) % 3.71/3.77 [606]~E(x6061,x6062)+E(f84(x6063,x6061),f84(x6063,x6062)) % 3.71/3.77 [607]~E(x6071,x6072)+E(f34(x6071,x6073),f34(x6072,x6073)) % 3.71/3.77 [608]~E(x6081,x6082)+E(f34(x6083,x6081),f34(x6083,x6082)) % 3.71/3.77 [609]~E(x6091,x6092)+E(f497(x6091,x6093),f497(x6092,x6093)) % 3.71/3.77 [610]~E(x6101,x6102)+E(f497(x6103,x6101),f497(x6103,x6102)) % 3.71/3.77 [611]~E(x6111,x6112)+E(f44(x6111,x6113),f44(x6112,x6113)) % 3.71/3.77 [612]~E(x6121,x6122)+E(f44(x6123,x6121),f44(x6123,x6122)) % 3.71/3.77 [613]~E(x6131,x6132)+E(f38(x6131,x6133),f38(x6132,x6133)) % 3.71/3.77 [614]~E(x6141,x6142)+E(f38(x6143,x6141),f38(x6143,x6142)) % 3.71/3.77 [615]~E(x6151,x6152)+E(f491(x6151,x6153),f491(x6152,x6153)) % 3.71/3.77 [616]~E(x6161,x6162)+E(f491(x6163,x6161),f491(x6163,x6162)) % 3.71/3.77 [617]~E(x6171,x6172)+E(f287(x6171,x6173),f287(x6172,x6173)) % 3.71/3.77 [618]~E(x6181,x6182)+E(f287(x6183,x6181),f287(x6183,x6182)) % 3.71/3.77 [619]~E(x6191,x6192)+E(f257(x6191,x6193,x6194),f257(x6192,x6193,x6194)) % 3.71/3.77 [620]~E(x6201,x6202)+E(f257(x6203,x6201,x6204),f257(x6203,x6202,x6204)) % 3.71/3.77 [621]~E(x6211,x6212)+E(f257(x6213,x6214,x6211),f257(x6213,x6214,x6212)) % 3.71/3.77 [622]~E(x6221,x6222)+E(f174(x6221,x6223,x6224),f174(x6222,x6223,x6224)) % 3.71/3.77 [623]~E(x6231,x6232)+E(f174(x6233,x6231,x6234),f174(x6233,x6232,x6234)) % 3.71/3.77 [624]~E(x6241,x6242)+E(f174(x6243,x6244,x6241),f174(x6243,x6244,x6242)) % 3.71/3.77 [625]~E(x6251,x6252)+E(f226(x6251,x6253),f226(x6252,x6253)) % 3.71/3.77 [626]~E(x6261,x6262)+E(f226(x6263,x6261),f226(x6263,x6262)) % 3.71/3.77 [627]~E(x6271,x6272)+E(f294(x6271,x6273),f294(x6272,x6273)) % 3.71/3.77 [628]~E(x6281,x6282)+E(f294(x6283,x6281),f294(x6283,x6282)) % 3.71/3.77 [629]~E(x6291,x6292)+E(f22(x6291,x6293),f22(x6292,x6293)) % 3.71/3.77 [630]~E(x6301,x6302)+E(f22(x6303,x6301),f22(x6303,x6302)) % 3.71/3.77 [631]~E(x6311,x6312)+E(f51(x6311),f51(x6312)) % 3.71/3.77 [632]~E(x6321,x6322)+E(f457(x6321,x6323),f457(x6322,x6323)) % 3.71/3.77 [633]~E(x6331,x6332)+E(f457(x6333,x6331),f457(x6333,x6332)) % 3.71/3.77 [634]~E(x6341,x6342)+E(f312(x6341),f312(x6342)) % 3.71/3.77 [635]~E(x6351,x6352)+E(f29(x6351,x6353),f29(x6352,x6353)) % 3.71/3.77 [636]~E(x6361,x6362)+E(f29(x6363,x6361),f29(x6363,x6362)) % 3.71/3.77 [637]~E(x6371,x6372)+E(f37(x6371,x6373),f37(x6372,x6373)) % 3.71/3.77 [638]~E(x6381,x6382)+E(f37(x6383,x6381),f37(x6383,x6382)) % 3.71/3.77 [639]~E(x6391,x6392)+E(f221(x6391),f221(x6392)) % 3.71/3.77 [640]~E(x6401,x6402)+E(f184(x6401,x6403,x6404),f184(x6402,x6403,x6404)) % 3.71/3.77 [641]~E(x6411,x6412)+E(f184(x6413,x6411,x6414),f184(x6413,x6412,x6414)) % 3.71/3.77 [642]~E(x6421,x6422)+E(f184(x6423,x6424,x6421),f184(x6423,x6424,x6422)) % 3.71/3.77 [643]~E(x6431,x6432)+E(f30(x6431,x6433),f30(x6432,x6433)) % 3.71/3.77 [644]~E(x6441,x6442)+E(f30(x6443,x6441),f30(x6443,x6442)) % 3.71/3.77 [645]~E(x6451,x6452)+E(f408(x6451,x6453),f408(x6452,x6453)) % 3.71/3.77 [646]~E(x6461,x6462)+E(f408(x6463,x6461),f408(x6463,x6462)) % 3.71/3.77 [647]~E(x6471,x6472)+E(f247(x6471,x6473,x6474),f247(x6472,x6473,x6474)) % 3.71/3.77 [648]~E(x6481,x6482)+E(f247(x6483,x6481,x6484),f247(x6483,x6482,x6484)) % 3.71/3.77 [649]~E(x6491,x6492)+E(f247(x6493,x6494,x6491),f247(x6493,x6494,x6492)) % 3.71/3.77 [650]~E(x6501,x6502)+E(f177(x6501,x6503,x6504),f177(x6502,x6503,x6504)) % 3.71/3.77 [651]~E(x6511,x6512)+E(f177(x6513,x6511,x6514),f177(x6513,x6512,x6514)) % 3.71/3.77 [652]~E(x6521,x6522)+E(f177(x6523,x6524,x6521),f177(x6523,x6524,x6522)) % 3.71/3.77 [653]~E(x6531,x6532)+E(f90(x6531),f90(x6532)) % 3.71/3.77 [654]~E(x6541,x6542)+E(f135(x6541),f135(x6542)) % 3.71/3.77 [655]~E(x6551,x6552)+E(f55(x6551),f55(x6552)) % 3.71/3.77 [656]~E(x6561,x6562)+E(f379(x6561,x6563),f379(x6562,x6563)) % 3.71/3.77 [657]~E(x6571,x6572)+E(f379(x6573,x6571),f379(x6573,x6572)) % 3.71/3.77 [658]~E(x6581,x6582)+E(f242(x6581,x6583,x6584),f242(x6582,x6583,x6584)) % 3.71/3.77 [659]~E(x6591,x6592)+E(f242(x6593,x6591,x6594),f242(x6593,x6592,x6594)) % 3.71/3.77 [660]~E(x6601,x6602)+E(f242(x6603,x6604,x6601),f242(x6603,x6604,x6602)) % 3.71/3.77 [661]~E(x6611,x6612)+E(f446(x6611,x6613),f446(x6612,x6613)) % 3.71/3.77 [662]~E(x6621,x6622)+E(f446(x6623,x6621),f446(x6623,x6622)) % 3.71/3.77 [663]~E(x6631,x6632)+E(f100(x6631,x6633),f100(x6632,x6633)) % 3.71/3.77 [664]~E(x6641,x6642)+E(f100(x6643,x6641),f100(x6643,x6642)) % 3.71/3.77 [665]~E(x6651,x6652)+E(f391(x6651,x6653),f391(x6652,x6653)) % 3.71/3.77 [666]~E(x6661,x6662)+E(f391(x6663,x6661),f391(x6663,x6662)) % 3.71/3.77 [667]~E(x6671,x6672)+E(f182(x6671,x6673),f182(x6672,x6673)) % 3.71/3.77 [668]~E(x6681,x6682)+E(f182(x6683,x6681),f182(x6683,x6682)) % 3.71/3.77 [669]~E(x6691,x6692)+E(f455(x6691,x6693),f455(x6692,x6693)) % 3.71/3.77 [670]~E(x6701,x6702)+E(f455(x6703,x6701),f455(x6703,x6702)) % 3.71/3.77 [671]~E(x6711,x6712)+E(f505(x6711,x6713),f505(x6712,x6713)) % 3.71/3.77 [672]~E(x6721,x6722)+E(f505(x6723,x6721),f505(x6723,x6722)) % 3.71/3.77 [673]~E(x6731,x6732)+E(f130(x6731),f130(x6732)) % 3.71/3.77 [674]~E(x6741,x6742)+E(f142(x6741),f142(x6742)) % 3.71/3.77 [675]~E(x6751,x6752)+E(f476(x6751,x6753),f476(x6752,x6753)) % 3.71/3.77 [676]~E(x6761,x6762)+E(f476(x6763,x6761),f476(x6763,x6762)) % 3.71/3.77 [677]~E(x6771,x6772)+E(f138(x6771),f138(x6772)) % 3.71/3.77 [678]~E(x6781,x6782)+E(f106(x6781,x6783,x6784),f106(x6782,x6783,x6784)) % 3.71/3.77 [679]~E(x6791,x6792)+E(f106(x6793,x6791,x6794),f106(x6793,x6792,x6794)) % 3.71/3.77 [680]~E(x6801,x6802)+E(f106(x6803,x6804,x6801),f106(x6803,x6804,x6802)) % 3.71/3.77 [681]~E(x6811,x6812)+E(f124(x6811,x6813),f124(x6812,x6813)) % 3.71/3.77 [682]~E(x6821,x6822)+E(f124(x6823,x6821),f124(x6823,x6822)) % 3.71/3.77 [683]~E(x6831,x6832)+E(f403(x6831,x6833),f403(x6832,x6833)) % 3.71/3.77 [684]~E(x6841,x6842)+E(f403(x6843,x6841),f403(x6843,x6842)) % 3.71/3.77 [685]~E(x6851,x6852)+E(f252(x6851,x6853,x6854),f252(x6852,x6853,x6854)) % 3.71/3.77 [686]~E(x6861,x6862)+E(f252(x6863,x6861,x6864),f252(x6863,x6862,x6864)) % 3.71/3.77 [687]~E(x6871,x6872)+E(f252(x6873,x6874,x6871),f252(x6873,x6874,x6872)) % 3.71/3.77 [688]~E(x6881,x6882)+E(f520(x6881,x6883),f520(x6882,x6883)) % 3.71/3.77 [689]~E(x6891,x6892)+E(f520(x6893,x6891),f520(x6893,x6892)) % 3.71/3.77 [690]~E(x6901,x6902)+E(f41(x6901,x6903),f41(x6902,x6903)) % 3.71/3.77 [691]~E(x6911,x6912)+E(f41(x6913,x6911),f41(x6913,x6912)) % 3.71/3.77 [692]~E(x6921,x6922)+E(f444(x6921,x6923),f444(x6922,x6923)) % 3.71/3.77 [693]~E(x6931,x6932)+E(f444(x6933,x6931),f444(x6933,x6932)) % 3.71/3.77 [694]~E(x6941,x6942)+E(f447(x6941,x6943),f447(x6942,x6943)) % 3.71/3.77 [695]~E(x6951,x6952)+E(f447(x6953,x6951),f447(x6953,x6952)) % 3.71/3.77 [696]~E(x6961,x6962)+E(f506(x6961,x6963),f506(x6962,x6963)) % 3.71/3.77 [697]~E(x6971,x6972)+E(f506(x6973,x6971),f506(x6973,x6972)) % 3.71/3.77 [698]~E(x6981,x6982)+E(f24(x6981,x6983),f24(x6982,x6983)) % 3.71/3.77 [699]~E(x6991,x6992)+E(f24(x6993,x6991),f24(x6993,x6992)) % 3.71/3.77 [700]~E(x7001,x7002)+E(f463(x7001,x7003),f463(x7002,x7003)) % 3.71/3.77 [701]~E(x7011,x7012)+E(f463(x7013,x7011),f463(x7013,x7012)) % 3.71/3.77 [702]~E(x7021,x7022)+E(f105(x7021,x7023,x7024),f105(x7022,x7023,x7024)) % 3.71/3.77 [703]~E(x7031,x7032)+E(f105(x7033,x7031,x7034),f105(x7033,x7032,x7034)) % 3.71/3.77 [704]~E(x7041,x7042)+E(f105(x7043,x7044,x7041),f105(x7043,x7044,x7042)) % 3.71/3.77 [705]~E(x7051,x7052)+E(f127(x7051),f127(x7052)) % 3.71/3.77 [706]~E(x7061,x7062)+E(f70(x7061),f70(x7062)) % 3.71/3.77 [707]~E(x7071,x7072)+E(f398(x7071,x7073),f398(x7072,x7073)) % 3.71/3.77 [708]~E(x7081,x7082)+E(f398(x7083,x7081),f398(x7083,x7082)) % 3.71/3.77 [709]~E(x7091,x7092)+E(f503(x7091,x7093),f503(x7092,x7093)) % 3.71/3.77 [710]~E(x7101,x7102)+E(f503(x7103,x7101),f503(x7103,x7102)) % 3.71/3.77 [711]~E(x7111,x7112)+E(f193(x7111),f193(x7112)) % 3.71/3.77 [712]~E(x7121,x7122)+E(f307(x7121),f307(x7122)) % 3.71/3.77 [713]~E(x7131,x7132)+E(f399(x7131,x7133),f399(x7132,x7133)) % 3.71/3.77 [714]~E(x7141,x7142)+E(f399(x7143,x7141),f399(x7143,x7142)) % 3.71/3.77 [715]~E(x7151,x7152)+E(f482(x7151,x7153),f482(x7152,x7153)) % 3.71/3.77 [716]~E(x7161,x7162)+E(f482(x7163,x7161),f482(x7163,x7162)) % 3.71/3.77 [717]~E(x7171,x7172)+E(f97(x7171),f97(x7172)) % 3.71/3.77 [718]~E(x7181,x7182)+E(f268(x7181,x7183,x7184),f268(x7182,x7183,x7184)) % 3.71/3.77 [719]~E(x7191,x7192)+E(f268(x7193,x7191,x7194),f268(x7193,x7192,x7194)) % 3.71/3.77 [720]~E(x7201,x7202)+E(f268(x7203,x7204,x7201),f268(x7203,x7204,x7202)) % 3.71/3.77 [721]~E(x7211,x7212)+E(f384(x7211,x7213),f384(x7212,x7213)) % 3.71/3.77 [722]~E(x7221,x7222)+E(f384(x7223,x7221),f384(x7223,x7222)) % 3.71/3.77 [723]~E(x7231,x7232)+E(f303(x7231,x7233),f303(x7232,x7233)) % 3.71/3.77 [724]~E(x7241,x7242)+E(f303(x7243,x7241),f303(x7243,x7242)) % 3.71/3.77 [725]~E(x7251,x7252)+E(f489(x7251,x7253),f489(x7252,x7253)) % 3.71/3.77 [726]~E(x7261,x7262)+E(f489(x7263,x7261),f489(x7263,x7262)) % 3.71/3.77 [727]~E(x7271,x7272)+E(f150(x7271,x7273,x7274),f150(x7272,x7273,x7274)) % 3.71/3.77 [728]~E(x7281,x7282)+E(f150(x7283,x7281,x7284),f150(x7283,x7282,x7284)) % 3.71/3.77 [729]~E(x7291,x7292)+E(f150(x7293,x7294,x7291),f150(x7293,x7294,x7292)) % 3.71/3.77 [730]~E(x7301,x7302)+E(f280(x7301,x7303),f280(x7302,x7303)) % 3.71/3.77 [731]~E(x7311,x7312)+E(f280(x7313,x7311),f280(x7313,x7312)) % 3.71/3.77 [732]~E(x7321,x7322)+E(f219(x7321),f219(x7322)) % 3.71/3.77 [733]~E(x7331,x7332)+E(f210(x7331,x7333,x7334),f210(x7332,x7333,x7334)) % 3.71/3.77 [734]~E(x7341,x7342)+E(f210(x7343,x7341,x7344),f210(x7343,x7342,x7344)) % 3.71/3.77 [735]~E(x7351,x7352)+E(f210(x7353,x7354,x7351),f210(x7353,x7354,x7352)) % 3.71/3.77 [736]~E(x7361,x7362)+E(f128(x7361),f128(x7362)) % 3.71/3.77 [737]~E(x7371,x7372)+E(f433(x7371,x7373),f433(x7372,x7373)) % 3.71/3.77 [738]~E(x7381,x7382)+E(f433(x7383,x7381),f433(x7383,x7382)) % 3.71/3.77 [739]~E(x7391,x7392)+E(f57(x7391),f57(x7392)) % 3.71/3.77 [740]~E(x7401,x7402)+E(f145(x7401,x7403,x7404),f145(x7402,x7403,x7404)) % 3.71/3.77 [741]~E(x7411,x7412)+E(f145(x7413,x7411,x7414),f145(x7413,x7412,x7414)) % 3.71/3.77 [742]~E(x7421,x7422)+E(f145(x7423,x7424,x7421),f145(x7423,x7424,x7422)) % 3.71/3.77 [743]~E(x7431,x7432)+E(f229(x7431,x7433),f229(x7432,x7433)) % 3.71/3.77 [744]~E(x7441,x7442)+E(f229(x7443,x7441),f229(x7443,x7442)) % 3.71/3.77 [745]~E(x7451,x7452)+E(f148(x7451,x7453,x7454),f148(x7452,x7453,x7454)) % 3.71/3.77 [746]~E(x7461,x7462)+E(f148(x7463,x7461,x7464),f148(x7463,x7462,x7464)) % 3.71/3.77 [747]~E(x7471,x7472)+E(f148(x7473,x7474,x7471),f148(x7473,x7474,x7472)) % 3.71/3.77 [748]~E(x7481,x7482)+E(f120(x7481,x7483),f120(x7482,x7483)) % 3.71/3.77 [749]~E(x7491,x7492)+E(f120(x7493,x7491),f120(x7493,x7492)) % 3.71/3.77 [750]~E(x7501,x7502)+E(f487(x7501,x7503),f487(x7502,x7503)) % 3.71/3.77 [751]~E(x7511,x7512)+E(f487(x7513,x7511),f487(x7513,x7512)) % 3.71/3.77 [752]~E(x7521,x7522)+E(f313(x7521),f313(x7522)) % 3.71/3.77 [753]~E(x7531,x7532)+E(f114(x7531,x7533),f114(x7532,x7533)) % 3.71/3.77 [754]~E(x7541,x7542)+E(f114(x7543,x7541),f114(x7543,x7542)) % 3.71/3.77 [755]~E(x7551,x7552)+E(f250(x7551,x7553,x7554),f250(x7552,x7553,x7554)) % 3.71/3.77 [756]~E(x7561,x7562)+E(f250(x7563,x7561,x7564),f250(x7563,x7562,x7564)) % 3.71/3.77 [757]~E(x7571,x7572)+E(f250(x7573,x7574,x7571),f250(x7573,x7574,x7572)) % 3.71/3.77 [758]~E(x7581,x7582)+E(f200(x7581,x7583,x7584),f200(x7582,x7583,x7584)) % 3.71/3.77 [759]~E(x7591,x7592)+E(f200(x7593,x7591,x7594),f200(x7593,x7592,x7594)) % 3.71/3.77 [760]~E(x7601,x7602)+E(f200(x7603,x7604,x7601),f200(x7603,x7604,x7602)) % 3.71/3.77 [761]~E(x7611,x7612)+E(f131(x7611),f131(x7612)) % 3.71/3.77 [762]~E(x7621,x7622)+E(f115(x7621,x7623),f115(x7622,x7623)) % 3.71/3.77 [763]~E(x7631,x7632)+E(f115(x7633,x7631),f115(x7633,x7632)) % 3.71/3.77 [764]~E(x7641,x7642)+E(f56(x7641),f56(x7642)) % 3.71/3.77 [765]~E(x7651,x7652)+E(f288(x7651,x7653),f288(x7652,x7653)) % 3.71/3.77 [766]~E(x7661,x7662)+E(f288(x7663,x7661),f288(x7663,x7662)) % 3.71/3.77 [767]~E(x7671,x7672)+E(f49(x7671),f49(x7672)) % 3.71/3.77 [768]~E(x7681,x7682)+E(f8(x7681),f8(x7682)) % 3.71/3.77 [769]~E(x7691,x7692)+E(f241(x7691,x7693,x7694),f241(x7692,x7693,x7694)) % 3.71/3.77 [770]~E(x7701,x7702)+E(f241(x7703,x7701,x7704),f241(x7703,x7702,x7704)) % 3.71/3.77 [771]~E(x7711,x7712)+E(f241(x7713,x7714,x7711),f241(x7713,x7714,x7712)) % 3.71/3.77 [772]~E(x7721,x7722)+E(f186(x7721,x7723,x7724),f186(x7722,x7723,x7724)) % 3.71/3.77 [773]~E(x7731,x7732)+E(f186(x7733,x7731,x7734),f186(x7733,x7732,x7734)) % 3.71/3.77 [774]~E(x7741,x7742)+E(f186(x7743,x7744,x7741),f186(x7743,x7744,x7742)) % 3.71/3.77 [775]~E(x7751,x7752)+E(f168(x7751,x7753),f168(x7752,x7753)) % 3.71/3.77 [776]~E(x7761,x7762)+E(f168(x7763,x7761),f168(x7763,x7762)) % 3.71/3.77 [777]~E(x7771,x7772)+E(f53(x7771),f53(x7772)) % 3.71/3.77 [778]~E(x7781,x7782)+E(f381(x7781,x7783),f381(x7782,x7783)) % 3.71/3.77 [779]~E(x7791,x7792)+E(f381(x7793,x7791),f381(x7793,x7792)) % 3.71/3.77 [780]~E(x7801,x7802)+E(f199(x7801,x7803,x7804),f199(x7802,x7803,x7804)) % 3.71/3.77 [781]~E(x7811,x7812)+E(f199(x7813,x7811,x7814),f199(x7813,x7812,x7814)) % 3.71/3.77 [782]~E(x7821,x7822)+E(f199(x7823,x7824,x7821),f199(x7823,x7824,x7822)) % 3.71/3.77 [783]~E(x7831,x7832)+E(f102(x7831,x7833),f102(x7832,x7833)) % 3.71/3.77 [784]~E(x7841,x7842)+E(f102(x7843,x7841),f102(x7843,x7842)) % 3.71/3.77 [785]~E(x7851,x7852)+E(f166(x7851,x7853),f166(x7852,x7853)) % 3.71/3.77 [786]~E(x7861,x7862)+E(f166(x7863,x7861),f166(x7863,x7862)) % 3.71/3.77 [787]~E(x7871,x7872)+E(f73(x7871),f73(x7872)) % 3.71/3.77 [788]~E(x7881,x7882)+E(f373(x7881,x7883),f373(x7882,x7883)) % 3.71/3.77 [789]~E(x7891,x7892)+E(f373(x7893,x7891),f373(x7893,x7892)) % 3.71/3.77 [790]~E(x7901,x7902)+E(f149(x7901,x7903,x7904),f149(x7902,x7903,x7904)) % 3.71/3.77 [791]~E(x7911,x7912)+E(f149(x7913,x7911,x7914),f149(x7913,x7912,x7914)) % 3.71/3.77 [792]~E(x7921,x7922)+E(f149(x7923,x7924,x7921),f149(x7923,x7924,x7922)) % 3.71/3.77 [793]~E(x7931,x7932)+E(f233(x7931,x7933,x7934),f233(x7932,x7933,x7934)) % 3.71/3.77 [794]~E(x7941,x7942)+E(f233(x7943,x7941,x7944),f233(x7943,x7942,x7944)) % 3.71/3.77 [795]~E(x7951,x7952)+E(f233(x7953,x7954,x7951),f233(x7953,x7954,x7952)) % 3.71/3.77 [796]~E(x7961,x7962)+E(f218(x7961,x7963,x7964),f218(x7962,x7963,x7964)) % 3.71/3.77 [797]~E(x7971,x7972)+E(f218(x7973,x7971,x7974),f218(x7973,x7972,x7974)) % 3.71/3.77 [798]~E(x7981,x7982)+E(f218(x7983,x7984,x7981),f218(x7983,x7984,x7982)) % 3.71/3.77 [799]~E(x7991,x7992)+E(f50(x7991),f50(x7992)) % 3.71/3.77 [800]~E(x8001,x8002)+E(f477(x8001,x8003),f477(x8002,x8003)) % 3.71/3.77 [801]~E(x8011,x8012)+E(f477(x8013,x8011),f477(x8013,x8012)) % 3.71/3.77 [802]~E(x8021,x8022)+E(f228(x8021,x8023),f228(x8022,x8023)) % 3.71/3.77 [803]~E(x8031,x8032)+E(f228(x8033,x8031),f228(x8033,x8032)) % 3.71/3.77 [804]~E(x8041,x8042)+E(f383(x8041,x8043),f383(x8042,x8043)) % 3.71/3.77 [805]~E(x8051,x8052)+E(f383(x8053,x8051),f383(x8053,x8052)) % 3.71/3.77 [806]~E(x8061,x8062)+E(f227(x8061,x8063),f227(x8062,x8063)) % 3.71/3.77 [807]~E(x8071,x8072)+E(f227(x8073,x8071),f227(x8073,x8072)) % 3.71/3.77 [808]~E(x8081,x8082)+E(f212(x8081,x8083,x8084),f212(x8082,x8083,x8084)) % 3.71/3.77 [809]~E(x8091,x8092)+E(f212(x8093,x8091,x8094),f212(x8093,x8092,x8094)) % 3.71/3.77 [810]~E(x8101,x8102)+E(f212(x8103,x8104,x8101),f212(x8103,x8104,x8102)) % 3.71/3.77 [811]~E(x8111,x8112)+E(f281(x8111,x8113,x8114),f281(x8112,x8113,x8114)) % 3.71/3.77 [812]~E(x8121,x8122)+E(f281(x8123,x8121,x8124),f281(x8123,x8122,x8124)) % 3.71/3.77 [813]~E(x8131,x8132)+E(f281(x8133,x8134,x8131),f281(x8133,x8134,x8132)) % 3.71/3.77 [814]~E(x8141,x8142)+E(f380(x8141,x8143),f380(x8142,x8143)) % 3.71/3.77 [815]~E(x8151,x8152)+E(f380(x8153,x8151),f380(x8153,x8152)) % 3.71/3.77 [816]~E(x8161,x8162)+E(f151(x8161,x8163,x8164),f151(x8162,x8163,x8164)) % 3.71/3.77 [817]~E(x8171,x8172)+E(f151(x8173,x8171,x8174),f151(x8173,x8172,x8174)) % 3.71/3.77 [818]~E(x8181,x8182)+E(f151(x8183,x8184,x8181),f151(x8183,x8184,x8182)) % 3.71/3.77 [819]~E(x8191,x8192)+E(f238(x8191,x8193,x8194),f238(x8192,x8193,x8194)) % 3.71/3.77 [820]~E(x8201,x8202)+E(f238(x8203,x8201,x8204),f238(x8203,x8202,x8204)) % 3.71/3.77 [821]~E(x8211,x8212)+E(f238(x8213,x8214,x8211),f238(x8213,x8214,x8212)) % 3.71/3.77 [822]~E(x8221,x8222)+E(f207(x8221,x8223,x8224),f207(x8222,x8223,x8224)) % 3.71/3.77 [823]~E(x8231,x8232)+E(f207(x8233,x8231,x8234),f207(x8233,x8232,x8234)) % 3.71/3.77 [824]~E(x8241,x8242)+E(f207(x8243,x8244,x8241),f207(x8243,x8244,x8242)) % 3.71/3.77 [825]~E(x8251,x8252)+E(f264(x8251,x8253,x8254),f264(x8252,x8253,x8254)) % 3.71/3.77 [826]~E(x8261,x8262)+E(f264(x8263,x8261,x8264),f264(x8263,x8262,x8264)) % 3.71/3.77 [827]~E(x8271,x8272)+E(f264(x8273,x8274,x8271),f264(x8273,x8274,x8272)) % 3.71/3.77 [828]~E(x8281,x8282)+E(f141(x8281,x8283,x8284),f141(x8282,x8283,x8284)) % 3.71/3.77 [829]~E(x8291,x8292)+E(f141(x8293,x8291,x8294),f141(x8293,x8292,x8294)) % 3.71/3.77 [830]~E(x8301,x8302)+E(f141(x8303,x8304,x8301),f141(x8303,x8304,x8302)) % 3.71/3.77 [831]~E(x8311,x8312)+E(f198(x8311,x8313,x8314),f198(x8312,x8313,x8314)) % 3.71/3.77 [832]~E(x8321,x8322)+E(f198(x8323,x8321,x8324),f198(x8323,x8322,x8324)) % 3.71/3.77 [833]~E(x8331,x8332)+E(f198(x8333,x8334,x8331),f198(x8333,x8334,x8332)) % 3.71/3.77 [834]~E(x8341,x8342)+E(f483(x8341,x8343),f483(x8342,x8343)) % 3.71/3.77 [835]~E(x8351,x8352)+E(f483(x8353,x8351),f483(x8353,x8352)) % 3.71/3.77 [836]~E(x8361,x8362)+E(f304(x8361),f304(x8362)) % 3.71/3.77 [837]~E(x8371,x8372)+E(f301(x8371,x8373),f301(x8372,x8373)) % 3.71/3.77 [838]~E(x8381,x8382)+E(f301(x8383,x8381),f301(x8383,x8382)) % 3.71/3.77 [839]~E(x8391,x8392)+E(f109(x8391,x8393,x8394),f109(x8392,x8393,x8394)) % 3.71/3.77 [840]~E(x8401,x8402)+E(f109(x8403,x8401,x8404),f109(x8403,x8402,x8404)) % 3.71/3.78 [841]~E(x8411,x8412)+E(f109(x8413,x8414,x8411),f109(x8413,x8414,x8412)) % 3.71/3.78 [842]~E(x8421,x8422)+E(f255(x8421,x8423,x8424),f255(x8422,x8423,x8424)) % 3.71/3.78 [843]~E(x8431,x8432)+E(f255(x8433,x8431,x8434),f255(x8433,x8432,x8434)) % 3.71/3.78 [844]~E(x8441,x8442)+E(f255(x8443,x8444,x8441),f255(x8443,x8444,x8442)) % 3.71/3.78 [845]~E(x8451,x8452)+E(f87(x8451),f87(x8452)) % 3.71/3.78 [846]~E(x8461,x8462)+E(f71(x8461),f71(x8462)) % 3.71/3.78 [847]~E(x8471,x8472)+E(f143(x8471),f143(x8472)) % 3.71/3.78 [848]~E(x8481,x8482)+E(f244(x8481,x8483,x8484),f244(x8482,x8483,x8484)) % 3.71/3.78 [849]~E(x8491,x8492)+E(f244(x8493,x8491,x8494),f244(x8493,x8492,x8494)) % 3.71/3.78 [850]~E(x8501,x8502)+E(f244(x8503,x8504,x8501),f244(x8503,x8504,x8502)) % 3.71/3.78 [851]~E(x8511,x8512)+E(f98(x8511),f98(x8512)) % 3.71/3.78 [852]~E(x8521,x8522)+E(f274(x8521,x8523),f274(x8522,x8523)) % 3.71/3.78 [853]~E(x8531,x8532)+E(f274(x8533,x8531),f274(x8533,x8532)) % 3.71/3.78 [854]~E(x8541,x8542)+E(f54(x8541),f54(x8542)) % 3.71/3.78 [855]~E(x8551,x8552)+E(f404(x8551,x8553),f404(x8552,x8553)) % 3.71/3.78 [856]~E(x8561,x8562)+E(f404(x8563,x8561),f404(x8563,x8562)) % 3.71/3.78 [857]~E(x8571,x8572)+E(f584(x8571),f584(x8572)) % 3.71/3.78 [858]~E(x8581,x8582)+E(f283(x8581,x8583,x8584),f283(x8582,x8583,x8584)) % 3.71/3.78 [859]~E(x8591,x8592)+E(f283(x8593,x8591,x8594),f283(x8593,x8592,x8594)) % 3.71/3.78 [860]~E(x8601,x8602)+E(f283(x8603,x8604,x8601),f283(x8603,x8604,x8602)) % 3.71/3.78 [861]~E(x8611,x8612)+E(f262(x8611,x8613,x8614),f262(x8612,x8613,x8614)) % 3.71/3.78 [862]~E(x8621,x8622)+E(f262(x8623,x8621,x8624),f262(x8623,x8622,x8624)) % 3.71/3.78 [863]~E(x8631,x8632)+E(f262(x8633,x8634,x8631),f262(x8633,x8634,x8632)) % 3.71/3.78 [864]~E(x8641,x8642)+E(f60(x8641),f60(x8642)) % 3.71/3.78 [865]~E(x8651,x8652)+E(f421(x8651,x8653),f421(x8652,x8653)) % 3.71/3.78 [866]~E(x8661,x8662)+E(f421(x8663,x8661),f421(x8663,x8662)) % 3.71/3.78 [867]~E(x8671,x8672)+E(f69(x8671),f69(x8672)) % 3.71/3.78 [868]~E(x8681,x8682)+E(f171(x8681,x8683),f171(x8682,x8683)) % 3.71/3.78 [869]~E(x8691,x8692)+E(f171(x8693,x8691),f171(x8693,x8692)) % 3.71/3.78 [870]~E(x8701,x8702)+E(f249(x8701,x8703,x8704),f249(x8702,x8703,x8704)) % 3.71/3.78 [871]~E(x8711,x8712)+E(f249(x8713,x8711,x8714),f249(x8713,x8712,x8714)) % 3.71/3.78 [872]~E(x8721,x8722)+E(f249(x8723,x8724,x8721),f249(x8723,x8724,x8722)) % 3.71/3.78 [873]~E(x8731,x8732)+E(f292(x8731,x8733,x8734),f292(x8732,x8733,x8734)) % 3.71/3.78 [874]~E(x8741,x8742)+E(f292(x8743,x8741,x8744),f292(x8743,x8742,x8744)) % 3.71/3.78 [875]~E(x8751,x8752)+E(f292(x8753,x8754,x8751),f292(x8753,x8754,x8752)) % 3.71/3.78 [876]~E(x8761,x8762)+E(f405(x8761,x8763),f405(x8762,x8763)) % 3.71/3.78 [877]~E(x8771,x8772)+E(f405(x8773,x8771),f405(x8773,x8772)) % 3.71/3.78 [878]~E(x8781,x8782)+E(f382(x8781,x8783),f382(x8782,x8783)) % 3.71/3.78 [879]~E(x8791,x8792)+E(f382(x8793,x8791),f382(x8793,x8792)) % 3.71/3.78 [880]~E(x8801,x8802)+E(f65(x8801),f65(x8802)) % 3.71/3.78 [881]~E(x8811,x8812)+E(f277(x8811,x8813,x8814),f277(x8812,x8813,x8814)) % 3.71/3.78 [882]~E(x8821,x8822)+E(f277(x8823,x8821,x8824),f277(x8823,x8822,x8824)) % 3.71/3.78 [883]~E(x8831,x8832)+E(f277(x8833,x8834,x8831),f277(x8833,x8834,x8832)) % 3.71/3.78 [884]~E(x8841,x8842)+E(f203(x8841,x8843,x8844),f203(x8842,x8843,x8844)) % 3.71/3.78 [885]~E(x8851,x8852)+E(f203(x8853,x8851,x8854),f203(x8853,x8852,x8854)) % 3.71/3.78 [886]~E(x8861,x8862)+E(f203(x8863,x8864,x8861),f203(x8863,x8864,x8862)) % 3.71/3.78 [887]~E(x8871,x8872)+E(f116(x8871,x8873),f116(x8872,x8873)) % 3.71/3.78 [888]~E(x8881,x8882)+E(f116(x8883,x8881),f116(x8883,x8882)) % 3.71/3.78 [889]~E(x8891,x8892)+E(f179(x8891,x8893),f179(x8892,x8893)) % 3.71/3.78 [890]~E(x8901,x8902)+E(f179(x8903,x8901),f179(x8903,x8902)) % 3.71/3.78 [891]~E(x8911,x8912)+E(f64(x8911),f64(x8912)) % 3.71/3.78 [892]~E(x8921,x8922)+E(f152(x8921,x8923,x8924),f152(x8922,x8923,x8924)) % 3.71/3.78 [893]~E(x8931,x8932)+E(f152(x8933,x8931,x8934),f152(x8933,x8932,x8934)) % 3.71/3.78 [894]~E(x8941,x8942)+E(f152(x8943,x8944,x8941),f152(x8943,x8944,x8942)) % 3.71/3.78 [895]~E(x8951,x8952)+E(f52(x8951),f52(x8952)) % 3.71/3.78 [896]~E(x8961,x8962)+E(f271(x8961,x8963),f271(x8962,x8963)) % 3.71/3.78 [897]~E(x8971,x8972)+E(f271(x8973,x8971),f271(x8973,x8972)) % 3.71/3.78 [898]~E(x8981,x8982)+E(f74(x8981),f74(x8982)) % 3.71/3.78 [899]~E(x8991,x8992)+E(f88(x8991),f88(x8992)) % 3.71/3.78 [900]~E(x9001,x9002)+E(f89(x9001),f89(x9002)) % 3.71/3.78 [901]~E(x9011,x9012)+E(f390(x9011,x9013),f390(x9012,x9013)) % 3.71/3.78 [902]~E(x9021,x9022)+E(f390(x9023,x9021),f390(x9023,x9022)) % 3.71/3.78 [903]~E(x9031,x9032)+E(f194(x9031,x9033),f194(x9032,x9033)) % 3.71/3.78 [904]~E(x9041,x9042)+E(f194(x9043,x9041),f194(x9043,x9042)) % 3.71/3.78 [905]~E(x9051,x9052)+E(f133(x9051),f133(x9052)) % 3.71/3.78 [906]~E(x9061,x9062)+E(f266(x9061,x9063,x9064),f266(x9062,x9063,x9064)) % 3.71/3.78 [907]~E(x9071,x9072)+E(f266(x9073,x9071,x9074),f266(x9073,x9072,x9074)) % 3.71/3.78 [908]~E(x9081,x9082)+E(f266(x9083,x9084,x9081),f266(x9083,x9084,x9082)) % 3.71/3.78 [909]~E(x9091,x9092)+E(f267(x9091,x9093,x9094),f267(x9092,x9093,x9094)) % 3.71/3.78 [910]~E(x9101,x9102)+E(f267(x9103,x9101,x9104),f267(x9103,x9102,x9104)) % 3.71/3.78 [911]~E(x9111,x9112)+E(f267(x9113,x9114,x9111),f267(x9113,x9114,x9112)) % 3.71/3.78 [912]~E(x9121,x9122)+E(f63(x9121),f63(x9122)) % 3.71/3.78 [913]~E(x9131,x9132)+E(f315(x9131,x9133,x9134),f315(x9132,x9133,x9134)) % 3.71/3.78 [914]~E(x9141,x9142)+E(f315(x9143,x9141,x9144),f315(x9143,x9142,x9144)) % 3.71/3.78 [915]~E(x9151,x9152)+E(f315(x9153,x9154,x9151),f315(x9153,x9154,x9152)) % 3.71/3.78 [916]~E(x9161,x9162)+E(f204(x9161,x9163,x9164),f204(x9162,x9163,x9164)) % 3.71/3.78 [917]~E(x9171,x9172)+E(f204(x9173,x9171,x9174),f204(x9173,x9172,x9174)) % 3.71/3.78 [918]~E(x9181,x9182)+E(f204(x9183,x9184,x9181),f204(x9183,x9184,x9182)) % 3.71/3.78 [919]~E(x9191,x9192)+E(f188(x9191),f188(x9192)) % 3.71/3.78 [920]~E(x9201,x9202)+E(f159(x9201,x9203),f159(x9202,x9203)) % 3.71/3.78 [921]~E(x9211,x9212)+E(f159(x9213,x9211),f159(x9213,x9212)) % 3.71/3.78 [922]~E(x9221,x9222)+E(f254(x9221,x9223,x9224),f254(x9222,x9223,x9224)) % 3.71/3.78 [923]~E(x9231,x9232)+E(f254(x9233,x9231,x9234),f254(x9233,x9232,x9234)) % 3.71/3.78 [924]~E(x9241,x9242)+E(f254(x9243,x9244,x9241),f254(x9243,x9244,x9242)) % 3.71/3.78 [925]~E(x9251,x9252)+E(f285(x9251,x9253),f285(x9252,x9253)) % 3.71/3.78 [926]~E(x9261,x9262)+E(f285(x9263,x9261),f285(x9263,x9262)) % 3.71/3.78 [927]~E(x9271,x9272)+E(f68(x9271),f68(x9272)) % 3.71/3.78 [928]~E(x9281,x9282)+E(f173(x9281,x9283,x9284),f173(x9282,x9283,x9284)) % 3.71/3.78 [929]~E(x9291,x9292)+E(f173(x9293,x9291,x9294),f173(x9293,x9292,x9294)) % 3.71/3.78 [930]~E(x9301,x9302)+E(f173(x9303,x9304,x9301),f173(x9303,x9304,x9302)) % 3.71/3.78 [931]~E(x9311,x9312)+E(f134(x9311,x9313),f134(x9312,x9313)) % 3.71/3.78 [932]~E(x9321,x9322)+E(f134(x9323,x9321),f134(x9323,x9322)) % 3.71/3.78 [933]~E(x9331,x9332)+E(f72(x9331),f72(x9332)) % 3.71/3.78 [934]~E(x9341,x9342)+E(f140(x9341),f140(x9342)) % 3.71/3.78 [935]~E(x9351,x9352)+E(f191(x9351),f191(x9352)) % 3.71/3.78 [936]~E(x9361,x9362)+E(f222(x9361),f222(x9362)) % 3.71/3.78 [937]~E(x9371,x9372)+E(f298(x9371,x9373,x9374),f298(x9372,x9373,x9374)) % 3.71/3.78 [938]~E(x9381,x9382)+E(f298(x9383,x9381,x9384),f298(x9383,x9382,x9384)) % 3.71/3.78 [939]~E(x9391,x9392)+E(f298(x9393,x9394,x9391),f298(x9393,x9394,x9392)) % 3.71/3.78 [940]~E(x9401,x9402)+E(f416(x9401,x9403),f416(x9402,x9403)) % 3.71/3.78 [941]~E(x9411,x9412)+E(f416(x9413,x9411),f416(x9413,x9412)) % 3.71/3.78 [942]~E(x9421,x9422)+E(f302(x9421),f302(x9422)) % 3.71/3.78 [943]~E(x9431,x9432)+E(f578(x9431),f578(x9432)) % 3.71/3.78 [944]~E(x9441,x9442)+E(f58(x9441),f58(x9442)) % 3.71/3.78 [945]~E(x9451,x9452)+E(f59(x9451),f59(x9452)) % 3.71/3.78 [946]~E(x9461,x9462)+E(f146(x9461,x9463,x9464),f146(x9462,x9463,x9464)) % 3.71/3.78 [947]~E(x9471,x9472)+E(f146(x9473,x9471,x9474),f146(x9473,x9472,x9474)) % 3.71/3.78 [948]~E(x9481,x9482)+E(f146(x9483,x9484,x9481),f146(x9483,x9484,x9482)) % 3.71/3.78 [949]~E(x9491,x9492)+E(f118(x9491,x9493),f118(x9492,x9493)) % 3.71/3.78 [950]~E(x9501,x9502)+E(f118(x9503,x9501),f118(x9503,x9502)) % 3.71/3.78 [951]~E(x9511,x9512)+E(f310(x9511),f310(x9512)) % 3.71/3.78 [952]~E(x9521,x9522)+E(f293(x9521,x9523),f293(x9522,x9523)) % 3.71/3.78 [953]~E(x9531,x9532)+E(f293(x9533,x9531),f293(x9533,x9532)) % 3.71/3.78 [954]~E(x9541,x9542)+E(f201(x9541,x9543,x9544),f201(x9542,x9543,x9544)) % 3.71/3.78 [955]~E(x9551,x9552)+E(f201(x9553,x9551,x9554),f201(x9553,x9552,x9554)) % 3.71/3.78 [956]~E(x9561,x9562)+E(f201(x9563,x9564,x9561),f201(x9563,x9564,x9562)) % 3.71/3.78 [957]~E(x9571,x9572)+E(f224(x9571),f224(x9572)) % 3.71/3.78 [958]~E(x9581,x9582)+E(f314(x9581),f314(x9582)) % 3.71/3.78 [959]~E(x9591,x9592)+E(f279(x9591,x9593),f279(x9592,x9593)) % 3.71/3.78 [960]~E(x9601,x9602)+E(f279(x9603,x9601),f279(x9603,x9602)) % 3.71/3.78 [961]~E(x9611,x9612)+E(f223(x9611),f223(x9612)) % 3.71/3.78 [962]~E(x9621,x9622)+E(f225(x9621),f225(x9622)) % 3.71/3.78 [963]~E(x9631,x9632)+E(f121(x9631,x9633),f121(x9632,x9633)) % 3.71/3.78 [964]~E(x9641,x9642)+E(f121(x9643,x9641),f121(x9643,x9642)) % 3.71/3.78 [965]~E(x9651,x9652)+E(f165(x9651,x9653,x9654),f165(x9652,x9653,x9654)) % 3.71/3.78 [966]~E(x9661,x9662)+E(f165(x9663,x9661,x9664),f165(x9663,x9662,x9664)) % 3.71/3.78 [967]~E(x9671,x9672)+E(f165(x9673,x9674,x9671),f165(x9673,x9674,x9672)) % 3.71/3.78 [968]~E(x9681,x9682)+E(f111(x9681,x9683,x9684),f111(x9682,x9683,x9684)) % 3.71/3.78 [969]~E(x9691,x9692)+E(f111(x9693,x9691,x9694),f111(x9693,x9692,x9694)) % 3.71/3.78 [970]~E(x9701,x9702)+E(f111(x9703,x9704,x9701),f111(x9703,x9704,x9702)) % 3.71/3.78 [971]~E(x9711,x9712)+E(f216(x9711),f216(x9712)) % 3.71/3.78 [972]~E(x9721,x9722)+E(f585(x9721),f585(x9722)) % 3.71/3.78 [973]~E(x9731,x9732)+E(f172(x9731,x9733),f172(x9732,x9733)) % 3.71/3.78 [974]~E(x9741,x9742)+E(f172(x9743,x9741),f172(x9743,x9742)) % 3.71/3.78 [975]~E(x9751,x9752)+E(f91(x9751),f91(x9752)) % 3.71/3.78 [976]~P1(x9761)+P1(x9762)+~E(x9761,x9762) % 3.71/3.78 [977]~P5(x9771)+P5(x9772)+~E(x9771,x9772) % 3.71/3.78 [978]~P7(x9781)+P7(x9782)+~E(x9781,x9782) % 3.71/3.78 [979]~P4(x9791)+P4(x9792)+~E(x9791,x9792) % 3.71/3.78 [980]~P2(x9801)+P2(x9802)+~E(x9801,x9802) % 3.71/3.78 [981]~P3(x9811)+P3(x9812)+~E(x9811,x9812) % 3.71/3.78 [982]~P8(x9821)+P8(x9822)+~E(x9821,x9822) % 3.71/3.78 [983]~P6(x9831)+P6(x9832)+~E(x9831,x9832) % 3.71/3.78 % 3.71/3.78 %------------------------------------------- % 3.71/3.78 cnf(3084,plain, % 3.71/3.78 (~P5(f449(a3,x30841))), % 3.71/3.78 inference(equality_inference,[],[1477])). % 3.71/3.78 cnf(3085,plain, % 3.71/3.78 (~P5(f458(a10,x30851))), % 3.71/3.78 inference(equality_inference,[],[1478])). % 3.71/3.78 cnf(3094,plain, % 3.71/3.78 (P5(f449(f443(a323,x30941),x30941))), % 3.71/3.78 inference(equality_inference,[],[1528])). % 3.71/3.78 cnf(3096,plain, % 3.71/3.78 (P5(f458(f460(a322,x30961),x30961))), % 3.71/3.78 inference(equality_inference,[],[1535])). % 3.71/3.78 cnf(3103,plain, % 3.71/3.78 (P5(f394(f413(a330,x31031),x31031))), % 3.71/3.78 inference(equality_inference,[],[1552])). % 3.71/3.78 cnf(3106,plain, % 3.71/3.78 (P5(f420(f376(a329,x31061),x31061))), % 3.71/3.78 inference(equality_inference,[],[1562])). % 3.71/3.78 cnf(3124,plain, % 3.71/3.78 (~P5(f449(f443(a563,x31241),x31241))), % 3.71/3.78 inference(equality_inference,[],[1690])). % 3.71/3.78 cnf(3129,plain, % 3.71/3.78 (~P5(f449(a546,x31291))+P5(f449(f443(a551,x31291),a11))), % 3.71/3.78 inference(equality_inference,[],[1710])). % 3.71/3.78 cnf(3135,plain, % 3.71/3.78 (P5(f449(f443(a551,f363(a570,a1)),a11))), % 3.71/3.78 inference(equality_inference,[],[1794])). % 3.71/3.78 cnf(3137,plain, % 3.71/3.78 (P5(f449(f443(a551,x31371),f454(f453(a568,x31371),f363(a570,x31372))))), % 3.71/3.78 inference(equality_inference,[],[1798])). % 3.71/3.78 cnf(3140,plain, % 3.71/3.78 (P5(f449(f443(a563,x31401),f454(f453(a568,x31401),a548)))), % 3.71/3.78 inference(equality_inference,[],[1910])). % 3.71/3.78 cnf(3141,plain, % 3.71/3.78 (E(x31411,f362(f464(a567,f362(f464(a540,x31411),x31412)),x31412))+~P5(f458(f460(a550,x31412),x31411))), % 3.71/3.78 inference(equality_inference,[],[1913])). % 3.71/3.78 cnf(3148,plain, % 3.71/3.78 (P5(f449(f443(a563,x31481),f454(f453(a568,x31481),f363(a570,f362(a571,x31482)))))), % 3.71/3.78 inference(equality_inference,[],[1986])). % 3.71/3.78 cnf(3170,plain, % 3.71/3.78 (P5(f458(x31701,x31702))+~P5(f458(x31701,f362(f464(a540,f362(f464(a567,x31703),x31702)),x31703)))), % 3.71/3.78 inference(equality_inference,[],[2333])). % 3.71/3.78 cnf(3176,plain, % 3.71/3.78 (~P5(f458(f460(a550,x31761),x31761))+E(x31763,f362(f464(a567,f362(f464(a572,f362(f464(a540,x31761),x31761)),x31762)),x31763))), % 3.71/3.78 inference(equality_inference,[],[2941])). % 3.71/3.78 cnf(3177,plain, % 3.71/3.78 (~P5(f458(f460(a550,x31771),x31771))+E(f362(f464(a567,f362(f464(a572,f362(f464(a540,x31771),x31771)),x31772)),x31773),x31773)), % 3.71/3.78 inference(equality_inference,[],[2942])). % 3.71/3.78 cnf(3194,plain, % 3.71/3.78 (P5(f364(f392(a552,x31941),f401(f369(a518,x31942),x31941)))), % 3.71/3.78 inference(rename_variables,[],[1250])). % 3.71/3.78 cnf(3209,plain, % 3.71/3.78 (P5(f458(f460(a550,f362(f464(a540,x32091),x32092)),x32091))), % 3.71/3.78 inference(rename_variables,[],[1290])). % 3.71/3.78 cnf(3212,plain, % 3.71/3.78 (P5(f458(f460(a550,a2),x32121))), % 3.71/3.78 inference(rename_variables,[],[1107])). % 3.71/3.78 cnf(3225,plain, % 3.71/3.78 (P5(f458(f460(a549,x32251),f362(a571,x32251)))), % 3.71/3.78 inference(rename_variables,[],[1209])). % 3.71/3.78 cnf(3228,plain, % 3.71/3.78 (P5(f458(f460(a549,x32281),f362(a571,x32281)))), % 3.71/3.78 inference(rename_variables,[],[1209])). % 3.71/3.78 cnf(3231,plain, % 3.71/3.78 (P5(f449(f443(a563,x32311),f454(f453(a568,x32311),f363(a570,f362(a571,x32312)))))), % 3.71/3.78 inference(rename_variables,[],[3148])). % 3.71/3.78 cnf(3234,plain, % 3.71/3.78 (P5(f449(f443(a551,x32341),f454(f453(a568,x32341),f363(a570,x32342))))), % 3.71/3.78 inference(rename_variables,[],[3137])). % 3.71/3.78 cnf(3237,plain, % 3.71/3.78 (P5(f449(f443(a551,x32371),f454(f453(a568,x32371),f363(a570,x32372))))), % 3.71/3.78 inference(rename_variables,[],[3137])). % 3.71/3.78 cnf(3240,plain, % 3.71/3.78 (P5(f449(f443(a551,x32401),f454(f453(a568,x32401),f363(a570,x32402))))), % 3.71/3.78 inference(rename_variables,[],[3137])). % 3.71/3.78 cnf(3243,plain, % 3.71/3.78 (~P5(f449(f443(a563,x32431),x32431))), % 3.71/3.78 inference(rename_variables,[],[3124])). % 3.71/3.78 cnf(3254,plain, % 3.71/3.78 (P5(f449(f443(a551,x32541),f454(f453(a568,x32541),f363(a570,x32542))))), % 3.71/3.78 inference(rename_variables,[],[3137])). % 3.71/3.78 cnf(3263,plain, % 3.71/3.78 (P5(f449(f443(a323,x32631),x32631))), % 3.71/3.78 inference(rename_variables,[],[3094])). % 3.71/3.78 cnf(3272,plain, % 3.71/3.78 (P5(f449(f443(a551,x32721),f454(f453(a568,x32721),f363(a570,x32722))))), % 3.71/3.78 inference(rename_variables,[],[3137])). % 3.71/3.78 cnf(3279,plain, % 3.71/3.78 (~P5(f449(f443(a563,x32791),x32791))), % 3.71/3.78 inference(rename_variables,[],[3124])). % 3.71/3.78 cnf(3282,plain, % 3.71/3.78 (P5(f458(f460(a549,x32821),f362(a571,x32821)))), % 3.71/3.78 inference(rename_variables,[],[1209])). % 3.71/3.78 cnf(3285,plain, % 3.71/3.78 (P5(f449(f443(a563,x32851),f454(f453(a568,x32851),f363(a570,f362(a571,x32852)))))), % 3.71/3.78 inference(rename_variables,[],[3148])). % 3.71/3.78 cnf(3292,plain, % 3.71/3.78 (P5(f449(f443(a323,x32921),x32921))), % 3.71/3.78 inference(rename_variables,[],[3094])). % 3.71/3.78 cnf(3301,plain, % 3.71/3.78 (P5(f458(f460(a549,x33011),f362(a571,x33011)))), % 3.71/3.78 inference(rename_variables,[],[1209])). % 3.71/3.78 cnf(3304,plain, % 3.71/3.78 (~P5(f458(f460(a550,f362(a571,x33041)),x33041))), % 3.71/3.78 inference(rename_variables,[],[1353])). % 3.71/3.78 cnf(3307,plain, % 3.71/3.78 (~P5(f458(f460(a549,f362(f464(a567,x33071),x33072)),x33072))), % 3.71/3.78 inference(rename_variables,[],[1357])). % 3.71/3.78 cnf(3310,plain, % 3.71/3.78 (~P5(f458(f460(a549,f362(f464(a567,x33101),x33102)),x33102))), % 3.71/3.78 inference(rename_variables,[],[1357])). % 3.71/3.78 cnf(3327,plain, % 3.71/3.78 (P5(f458(f460(a550,x33271),x33271))), % 3.71/3.78 inference(rename_variables,[],[1124])). % 3.71/3.78 cnf(3330,plain, % 3.71/3.78 (P5(f458(f460(a549,x33301),f362(a571,x33301)))), % 3.71/3.78 inference(rename_variables,[],[1209])). % 3.71/3.78 cnf(3337,plain, % 3.71/3.78 (P5(f394(f413(a553,x33371),x33371))), % 3.71/3.78 inference(rename_variables,[],[1128])). % 3.71/3.78 cnf(3340,plain, % 3.71/3.78 (~P5(f449(f443(a563,x33401),x33401))), % 3.71/3.78 inference(rename_variables,[],[3124])). % 3.71/3.78 cnf(3343,plain, % 3.71/3.78 (~P5(f449(f443(a563,x33431),x33431))), % 3.71/3.78 inference(rename_variables,[],[3124])). % 3.71/3.78 cnf(3346,plain, % 3.71/3.78 (~P5(f458(f460(a550,f362(a571,x33461)),x33461))), % 3.71/3.78 inference(rename_variables,[],[1353])). % 3.71/3.78 cnf(3349,plain, % 3.71/3.78 (~P5(f458(f460(a550,f362(a571,x33491)),x33491))), % 3.71/3.78 inference(rename_variables,[],[1353])). % 3.71/3.78 cnf(3352,plain, % 3.71/3.78 (~P5(f458(f460(a549,f362(f464(a567,x33521),x33522)),x33522))), % 3.71/3.78 inference(rename_variables,[],[1357])). % 3.71/3.78 cnf(3355,plain, % 3.71/3.78 (~P5(f458(f460(a549,f362(f464(a567,x33551),x33552)),x33552))), % 3.71/3.78 inference(rename_variables,[],[1357])). % 3.71/3.78 cnf(3358,plain, % 3.71/3.78 (P5(f458(f460(a550,x33581),x33581))), % 3.71/3.78 inference(rename_variables,[],[1124])). % 3.71/3.78 cnf(3361,plain, % 3.71/3.78 (P5(f458(f460(a550,x33611),f362(f464(a572,x33611),x33611)))), % 3.71/3.78 inference(rename_variables,[],[1248])). % 3.71/3.78 cnf(3364,plain, % 3.71/3.78 (P5(f458(f460(a549,x33641),f362(a571,x33641)))), % 3.71/3.78 inference(rename_variables,[],[1209])). % 3.71/3.78 cnf(3371,plain, % 3.71/3.78 (P5(f458(f460(a550,x33711),f362(f464(a572,x33711),x33711)))), % 3.71/3.78 inference(rename_variables,[],[1248])). % 3.71/3.78 cnf(3374,plain, % 3.71/3.78 (P5(f458(f460(a549,x33741),f362(a571,x33741)))), % 3.71/3.78 inference(rename_variables,[],[1209])). % 3.71/3.78 cnf(3382,plain, % 3.71/3.78 (P5(f458(f460(a549,x33821),f362(a571,f362(f464(a567,x33822),x33821))))), % 3.71/3.78 inference(rename_variables,[],[1294])). % 3.71/3.78 cnf(3391,plain, % 3.71/3.78 (P5(f449(f443(a551,x33911),f454(f453(a568,x33911),f363(a570,x33912))))), % 3.71/3.78 inference(rename_variables,[],[3137])). % 3.71/3.78 cnf(3394,plain, % 3.71/3.78 (P5(f458(f460(a550,x33941),f362(f464(a572,x33941),x33941)))), % 3.71/3.78 inference(rename_variables,[],[1248])). % 3.71/3.78 cnf(3397,plain, % 3.71/3.78 (P5(f458(f460(a550,x33971),f362(f464(a572,x33971),x33971)))), % 3.71/3.78 inference(rename_variables,[],[1248])). % 3.71/3.78 cnf(3400,plain, % 3.71/3.78 (P5(f458(f460(a549,x34001),f362(a571,f362(f464(a567,x34002),x34001))))), % 3.71/3.78 inference(rename_variables,[],[1294])). % 3.71/3.78 cnf(3406,plain, % 3.71/3.78 (P5(f394(f413(a553,x34061),f402(f441(a517,x34062),x34061)))), % 3.71/3.78 inference(rename_variables,[],[1252])). % 3.71/3.78 cnf(3409,plain, % 3.71/3.78 (P5(f394(f413(a553,x34091),f402(f441(a517,x34092),x34091)))), % 3.71/3.78 inference(rename_variables,[],[1252])). % 3.71/3.78 cnf(3412,plain, % 3.71/3.78 (P5(f420(f376(a554,x34121),f425(f461(a516,x34122),x34121)))), % 3.71/3.78 inference(rename_variables,[],[1254])). % 3.71/3.78 cnf(3415,plain, % 3.71/3.78 (P5(f420(f376(a554,x34151),f425(f461(a516,x34152),x34151)))), % 3.71/3.78 inference(rename_variables,[],[1254])). % 3.71/3.78 cnf(3418,plain, % 3.71/3.78 (~P5(f420(f462(a527,x34181),a10))), % 3.71/3.78 inference(rename_variables,[],[1348])). % 3.71/3.78 cnf(3421,plain, % 3.71/3.78 (~P5(f458(f460(a549,x34211),x34211))), % 3.71/3.78 inference(rename_variables,[],[1350])). % 3.71/3.78 cnf(3424,plain, % 3.71/3.78 (P5(f458(f460(a550,x34241),x34241))), % 3.71/3.78 inference(rename_variables,[],[1124])). % 3.71/3.78 cnf(3427,plain, % 3.71/3.78 (P5(f458(f460(a549,x34271),f362(a571,x34271)))), % 3.71/3.78 inference(rename_variables,[],[1209])). % 3.71/3.78 cnf(3436,plain, % 3.71/3.78 (P5(f458(f460(a322,x34361),x34361))), % 3.71/3.78 inference(rename_variables,[],[3096])). % 3.71/3.78 cnf(3454,plain, % 3.71/3.78 (~P5(f458(f460(a549,x34541),x34541))), % 3.71/3.78 inference(rename_variables,[],[1350])). % 3.71/3.78 cnf(3461,plain, % 3.71/3.78 (~P5(f458(f460(a549,f362(f464(a567,x34611),x34612)),x34612))), % 3.71/3.78 inference(rename_variables,[],[1357])). % 3.71/3.78 cnf(3475,plain, % 3.71/3.78 (~P5(f449(f443(a563,x34751),x34751))), % 3.71/3.78 inference(rename_variables,[],[3124])). % 3.71/3.78 cnf(3482,plain, % 3.71/3.78 (~P5(f458(f460(a549,f362(f464(a567,x34821),x34822)),x34821))), % 3.71/3.78 inference(rename_variables,[],[1358])). % 3.71/3.78 cnf(3487,plain, % 3.71/3.78 (~P5(f449(f443(a563,x34871),x34871))), % 3.71/3.78 inference(rename_variables,[],[3124])). % 3.71/3.78 cnf(3492,plain, % 3.71/3.78 (~P5(f365(f471(a526,x34921),a5))), % 3.71/3.78 inference(rename_variables,[],[1344])). % 3.71/3.78 cnf(3513,plain, % 3.71/3.78 (E(f362(a16,x35131),x35131)), % 3.71/3.78 inference(rename_variables,[],[1014])). % 3.71/3.78 cnf(3517,plain, % 3.71/3.78 (E(f362(a16,x35171),x35171)), % 3.71/3.78 inference(rename_variables,[],[1014])). % 3.71/3.78 cnf(3520,plain, % 3.71/3.78 (E(f362(a16,x35201),x35201)), % 3.71/3.78 inference(rename_variables,[],[1014])). % 3.71/3.78 cnf(3525,plain, % 3.71/3.78 (P5(f449(f443(a563,x35251),f454(f453(a568,x35251),f363(a570,f362(a571,x35252)))))), % 3.71/3.78 inference(rename_variables,[],[3148])). % 3.71/3.78 cnf(3526,plain, % 3.71/3.78 (~E(f362(a571,x35261),x35261)), % 3.71/3.78 inference(rename_variables,[],[1326])). % 3.71/3.78 cnf(3529,plain, % 3.71/3.78 (P5(f458(f460(a549,a1),f362(a571,x35291)))), % 3.71/3.78 inference(rename_variables,[],[1208])). % 3.71/3.78 cnf(3530,plain, % 3.71/3.78 (~E(f362(a571,x35301),x35301)), % 3.71/3.78 inference(rename_variables,[],[1326])). % 3.71/3.78 cnf(3536,plain, % 3.71/3.78 (P5(f394(f413(a553,f402(f368(a536,x35361),x35362)),x35361))), % 3.71/3.78 inference(rename_variables,[],[1292])). % 3.71/3.78 cnf(3539,plain, % 3.71/3.78 (P5(f420(f376(a554,f425(f397(a539,x35391),x35392)),x35391))), % 3.71/3.78 inference(rename_variables,[],[1293])). % 3.71/3.78 cnf(3542,plain, % 3.71/3.78 (~P5(f458(f460(a549,f362(f464(a567,x35421),x35422)),x35421))), % 3.71/3.78 inference(rename_variables,[],[1358])). % 3.71/3.78 cnf(3545,plain, % 3.71/3.78 (P5(f458(f460(a550,x35451),x35451))), % 3.71/3.78 inference(rename_variables,[],[1124])). % 3.71/3.78 cnf(3549,plain, % 3.71/3.78 (P5(f458(f460(a550,x35491),x35491))), % 3.71/3.78 inference(rename_variables,[],[1124])). % 3.71/3.78 cnf(3563,plain, % 3.71/3.78 (P5(f458(f460(a550,a2),x35631))), % 3.71/3.78 inference(rename_variables,[],[1107])). % 3.71/3.78 cnf(3577,plain, % 3.71/3.78 (~E(f362(a571,x35771),x35771)), % 3.71/3.78 inference(rename_variables,[],[1326])). % 3.71/3.78 cnf(3583,plain, % 3.71/3.78 (P5(f458(f460(a549,x35831),f362(a571,f362(f464(a567,x35832),x35831))))), % 3.71/3.78 inference(rename_variables,[],[1294])). % 3.71/3.78 cnf(3587,plain, % 3.71/3.78 (P5(f364(f392(a552,x35871),x35871))), % 3.71/3.78 inference(rename_variables,[],[1126])). % 3.71/3.78 cnf(3590,plain, % 3.71/3.78 (P5(f364(f392(a552,x35901),x35901))), % 3.71/3.78 inference(rename_variables,[],[1126])). % 3.71/3.78 cnf(3593,plain, % 3.71/3.78 (P5(f364(f392(a552,x35931),x35931))), % 3.71/3.78 inference(rename_variables,[],[1126])). % 3.71/3.78 cnf(3596,plain, % 3.71/3.78 (P5(f364(f392(a552,x35961),x35961))), % 3.71/3.78 inference(rename_variables,[],[1126])). % 3.71/3.78 cnf(3599,plain, % 3.71/3.78 (P5(f394(f413(a553,x35991),x35991))), % 3.71/3.78 inference(rename_variables,[],[1128])). % 3.71/3.78 cnf(3602,plain, % 3.71/3.78 (P5(f394(f413(a553,x36021),x36021))), % 3.71/3.78 inference(rename_variables,[],[1128])). % 3.71/3.78 cnf(3605,plain, % 3.71/3.78 (P5(f420(f376(a554,x36051),x36051))), % 3.71/3.78 inference(rename_variables,[],[1130])). % 3.71/3.78 cnf(3617,plain, % 3.71/3.78 (P5(f449(f443(a551,x36171),f454(f453(a568,x36171),f363(a570,x36172))))), % 3.71/3.78 inference(rename_variables,[],[3137])). % 3.71/3.78 cnf(3620,plain, % 3.71/3.78 (~P5(f365(f471(a526,x36201),a5))), % 3.71/3.78 inference(rename_variables,[],[1344])). % 3.71/3.78 cnf(3629,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x36291))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3632,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x36321))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3641,plain, % 3.71/3.78 (P5(f364(f392(a552,x36411),x36411))), % 3.71/3.78 inference(rename_variables,[],[1126])). % 3.71/3.78 cnf(3644,plain, % 3.71/3.78 (P5(f420(f376(a554,x36441),x36441))), % 3.71/3.78 inference(rename_variables,[],[1130])). % 3.71/3.78 cnf(3647,plain, % 3.71/3.78 (P5(f394(f413(a553,x36471),x36471))), % 3.71/3.78 inference(rename_variables,[],[1128])). % 3.71/3.78 cnf(3650,plain, % 3.71/3.78 (P5(f420(f376(a554,x36501),x36501))), % 3.71/3.78 inference(rename_variables,[],[1130])). % 3.71/3.78 cnf(3653,plain, % 3.71/3.78 (P5(f394(f413(a553,x36531),x36531))), % 3.71/3.78 inference(rename_variables,[],[1128])). % 3.71/3.78 cnf(3656,plain, % 3.71/3.78 (P5(f420(f376(a554,a10),x36561))), % 3.71/3.78 inference(rename_variables,[],[1115])). % 3.71/3.78 cnf(3659,plain, % 3.71/3.78 (P5(f394(f413(a553,a3),x36591))), % 3.71/3.78 inference(rename_variables,[],[1113])). % 3.71/3.78 cnf(3662,plain, % 3.71/3.78 (P5(f420(f376(a554,a10),x36621))), % 3.71/3.78 inference(rename_variables,[],[1115])). % 3.71/3.78 cnf(3665,plain, % 3.71/3.78 (P5(f394(f413(a553,a3),x36651))), % 3.71/3.78 inference(rename_variables,[],[1113])). % 3.71/3.78 cnf(3668,plain, % 3.71/3.78 (P5(f420(f376(a554,a10),x36681))), % 3.71/3.78 inference(rename_variables,[],[1115])). % 3.71/3.78 cnf(3671,plain, % 3.71/3.78 (P5(f394(f413(a553,a3),x36711))), % 3.71/3.78 inference(rename_variables,[],[1113])). % 3.71/3.78 cnf(3674,plain, % 3.71/3.78 (P5(f458(f460(a322,x36741),x36741))), % 3.71/3.78 inference(rename_variables,[],[3096])). % 3.71/3.78 cnf(3675,plain, % 3.71/3.78 (E(f362(a16,x36751),x36751)), % 3.71/3.78 inference(rename_variables,[],[1014])). % 3.71/3.78 cnf(3678,plain, % 3.71/3.78 (P5(f420(f376(a554,x36781),x36781))), % 3.71/3.78 inference(rename_variables,[],[1130])). % 3.71/3.78 cnf(3681,plain, % 3.71/3.78 (P5(f420(f376(a554,a10),x36811))), % 3.71/3.78 inference(rename_variables,[],[1115])). % 3.71/3.78 cnf(3684,plain, % 3.71/3.78 (P5(f420(f376(a554,a10),x36841))), % 3.71/3.78 inference(rename_variables,[],[1115])). % 3.71/3.78 cnf(3687,plain, % 3.71/3.78 (P5(f420(f376(a554,a10),x36871))), % 3.71/3.78 inference(rename_variables,[],[1115])). % 3.71/3.78 cnf(3690,plain, % 3.71/3.78 (P5(f420(f376(a554,a10),x36901))), % 3.71/3.78 inference(rename_variables,[],[1115])). % 3.71/3.78 cnf(3693,plain, % 3.71/3.78 (P5(f394(f413(a553,x36931),x36931))), % 3.71/3.78 inference(rename_variables,[],[1128])). % 3.71/3.78 cnf(3696,plain, % 3.71/3.78 (P5(f394(f413(a553,a3),x36961))), % 3.71/3.78 inference(rename_variables,[],[1113])). % 3.71/3.78 cnf(3699,plain, % 3.71/3.78 (P5(f394(f413(a553,a3),x36991))), % 3.71/3.78 inference(rename_variables,[],[1113])). % 3.71/3.78 cnf(3702,plain, % 3.71/3.78 (P5(f394(f413(a553,a3),x37021))), % 3.71/3.78 inference(rename_variables,[],[1113])). % 3.71/3.78 cnf(3705,plain, % 3.71/3.78 (P5(f394(f413(a553,a3),x37051))), % 3.71/3.78 inference(rename_variables,[],[1113])). % 3.71/3.78 cnf(3708,plain, % 3.71/3.78 (P5(f394(f413(a553,x37081),x37081))), % 3.71/3.78 inference(rename_variables,[],[1128])). % 3.71/3.78 cnf(3722,plain, % 3.71/3.78 (~P5(f458(f460(a549,x37221),x37221))), % 3.71/3.78 inference(rename_variables,[],[1350])). % 3.71/3.78 cnf(3729,plain, % 3.71/3.78 (~P5(f458(f460(a549,x37291),x37291))), % 3.71/3.78 inference(rename_variables,[],[1350])). % 3.71/3.78 cnf(3732,plain, % 3.71/3.78 (~P5(f458(f460(a549,x37321),x37321))), % 3.71/3.78 inference(rename_variables,[],[1350])). % 3.71/3.78 cnf(3735,plain, % 3.71/3.78 (~P5(f365(f471(a526,x37351),a5))), % 3.71/3.78 inference(rename_variables,[],[1344])). % 3.71/3.78 cnf(3738,plain, % 3.71/3.78 (P5(f449(f443(a323,x37381),x37381))), % 3.71/3.78 inference(rename_variables,[],[3094])). % 3.71/3.78 cnf(3750,plain, % 3.71/3.78 (P5(f458(f460(a550,a2),x37501))), % 3.71/3.78 inference(rename_variables,[],[1107])). % 3.71/3.78 cnf(3762,plain, % 3.71/3.78 (P5(f364(f392(a552,x37621),x37621))), % 3.71/3.78 inference(rename_variables,[],[1126])). % 3.71/3.78 cnf(3765,plain, % 3.71/3.78 (P5(f394(f413(a553,x37651),x37651))), % 3.71/3.78 inference(rename_variables,[],[1128])). % 3.71/3.78 cnf(3768,plain, % 3.71/3.78 (P5(f420(f376(a554,x37681),x37681))), % 3.71/3.78 inference(rename_variables,[],[1130])). % 3.71/3.78 cnf(3774,plain, % 3.71/3.78 (~P5(f458(f460(a549,x37741),a1))), % 3.71/3.78 inference(rename_variables,[],[1340])). % 3.71/3.78 cnf(3788,plain, % 3.71/3.78 (E(f362(a16,x37881),x37881)), % 3.71/3.78 inference(rename_variables,[],[1014])). % 3.71/3.78 cnf(3791,plain, % 3.71/3.78 (E(f362(a16,x37911),x37911)), % 3.71/3.78 inference(rename_variables,[],[1014])). % 3.71/3.78 cnf(3794,plain, % 3.71/3.78 (~P5(f458(f460(a549,x37941),a1))), % 3.71/3.78 inference(rename_variables,[],[1340])). % 3.71/3.78 cnf(3801,plain, % 3.71/3.78 (~P5(f458(a10,x38011))), % 3.71/3.78 inference(rename_variables,[],[3085])). % 3.71/3.78 cnf(3824,plain, % 3.71/3.78 (P5(f364(f392(a552,x38241),x38241))), % 3.71/3.78 inference(rename_variables,[],[1126])). % 3.71/3.78 cnf(3830,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38301))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3835,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38351))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3838,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38381))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3841,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38411))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3844,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38441))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3849,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38491))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3852,plain, % 3.71/3.78 (P5(f364(f392(a552,x38521),x38521))), % 3.71/3.78 inference(rename_variables,[],[1126])). % 3.71/3.78 cnf(3860,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38601))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3863,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38631))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3866,plain, % 3.71/3.78 (P5(f364(f392(a552,a4),x38661))), % 3.71/3.78 inference(rename_variables,[],[1111])). % 3.71/3.78 cnf(3876,plain, % 3.71/3.78 (~P5(f458(f460(a549,x38761),a1))), % 3.71/3.78 inference(rename_variables,[],[1340])). % 3.71/3.78 cnf(3877,plain, % 3.71/3.78 (P5(f449(f443(a551,a11),f363(a570,x38771)))), % 3.71/3.78 inference(rename_variables,[],[1207])). % 3.71/3.78 cnf(3880,plain, % 3.71/3.78 (~P5(f458(f460(a549,x38801),a1))), % 3.71/3.78 inference(rename_variables,[],[1340])). % 3.71/3.78 cnf(3881,plain, % 3.71/3.78 (P5(f449(f443(a551,a11),f363(a570,x38811)))), % 3.71/3.78 inference(rename_variables,[],[1207])). % 3.71/3.78 cnf(3884,plain, % 3.71/3.78 (~P5(f458(f460(a549,x38841),a1))), % 3.71/3.78 inference(rename_variables,[],[1340])). % 3.71/3.78 cnf(3885,plain, % 3.71/3.78 (P5(f449(f443(a551,a11),f363(a570,x38851)))), % 3.71/3.78 inference(rename_variables,[],[1207])). % 3.71/3.78 cnf(3937,plain, % 3.71/3.78 ($false), % 3.71/3.78 inference(scs_inference,[],[1359,3124,3243,3279,3340,3343,3475,3487,3084,3085,3801,1011,1014,3513,3517,3520,3675,3788,3791,1069,1213,1076,1077,1078,1327,1174,1064,1001,1228,1350,3421,3454,3722,3729,3732,1340,3774,3794,3876,3880,3884,1342,1344,3492,3620,3735,1346,1348,3418,1353,3304,3346,3349,1351,1352,1357,3307,3310,3352,3355,3461,1358,3482,3542,3094,3263,3292,3738,3096,3436,3674,3103,3106,3137,3234,3237,3240,3254,3272,3391,3617,3148,3231,3285,3525,3140,3135,1326,3526,3530,3577,991,992,993,994,1317,1005,1021,1022,1045,1016,1017,1018,1019,1020,1334,1335,1122,1124,3327,3358,3424,3545,3549,1126,3587,3590,3593,3596,3641,3762,3824,3852,1128,3337,3599,3602,3647,3653,3693,3708,3765,1130,3605,3644,3650,3678,3768,1207,3877,3881,3885,1209,3225,3228,3282,3301,3330,3364,3374,3427,1107,3212,3563,3750,1109,1111,3629,3632,3830,3835,3838,3841,3844,3849,3860,3863,3866,1113,3659,3665,3671,3696,3699,3702,3705,1115,3656,3662,3668,3681,3684,3687,3690,1296,1208,3529,1204,1102,1106,1248,3361,3371,3394,3397,1249,1250,3194,1252,3406,3409,1253,1254,3412,3415,1255,1290,3209,1291,1292,3536,1293,3539,1294,3382,3400,3583,1536,1540,1599,1600,1601,2722,1402,1475,1477,1478,1479,1480,1624,1625,1654,1690,1695,1699,1700,1711,1712,1713,1714,1715,1716,1744,1758,1759,1760,1761,1771,1779,1781,1782,1787,1788,1800,1801,1807,1810,1811,1816,1839,1840,1842,1850,1874,1925,1926,1930,1933,1957,1959,1961,1962,1991,1992,2011,2012,2092,2111,2113,2114,2115,2120,2163,2190,2191,2229,2231,2233,2235,2249,2252,2253,2363,2364,2404,2421,2434,2436,2444,2486,2572,2702,2707,2718,2719,2720,2721,2725,2726,2727,2728,2752,2755,2849,2850,2877,3129,3141,3170,3176,3177,1490,1491,1527,1534,1574,1584,1610,1633,1706,1707,1726,1729,1767,1770,1783,1798,1815,1860,1878,1910,1986,2002,2003,2171,2334,2335,2336,2337,2,16,17,24,2676,977,1496,1717,1718,1790,1796,1799,1820,1824,1826,1864,1913,1914,1940,1942,1952,1954,1967,1972,1978,1984,2019,2028,2030,2036,2040,2045,2046,2047,2048,2061,2062,2067,2087,2122,2123,2124,2127,2141,2148,2155,2157,2175,2262,2263,2288,2289,2290,2291,2300,2301,2302,2303,2306,2307,2308,2309,2333,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2393,2467,2553,2638,2680,2712,2713,2758,2761,2782,2788,2857,2891,2918,2919,2951,2957,2963,2966,3047,3059,1397,1591,1640,1649,1738,1739,1774,2203,2204,2424,2425,3,976,981,1499,1500,1604,1764,2311,2312,2320,2323,2327,2328,2330,2368,2369,2372,2376,2380,2384,2386,2388,2390,2552,2912,2913,2944,2945,2777,2778,1383,1450,1452,1454,1473,1511,1616,1644,1645,1646,1647,1652,1701,1702,1742,1845,2032,2192,2197,2278]), % 3.71/3.78 ['proof']). % 3.71/3.78 % SZS output end Proof % 3.71/3.78 % Total time :1.550000s %------------------------------------------------------------------------------