%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SCT171+1 : 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 : n021.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 14:11:59 EDT 2024 % Result : Theorem 1.01s 1.13s % Output : CNFRefutation 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SCT171+1 : 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 % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % 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 : Sat Jun 22 07:06:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 1.01/1.09 %------------------------------------------- % 1.01/1.09 % File :CSE---1.7 % 1.01/1.09 % Problem :theBenchmark % 1.01/1.09 % Transform :cnf % 1.01/1.09 % Format :tptp:raw % 1.01/1.09 % Command :java -jar mcs_scs.jar %d %s % 1.01/1.09 % 1.01/1.09 % Result :Theorem 0.230000s % 1.01/1.09 % Output :CNFRefutation 0.230000s % 1.01/1.09 %------------------------------------------- % 1.01/1.09 %------------------------------------------------------------------------------ % 1.01/1.09 % File : SCT171+1 : TPTP v8.2.0. Released v5.3.0. % 1.01/1.09 % Domain : Social Choice Theory % 1.01/1.09 % Problem : Arrow's Impossibility Theorem line 309, 100 axioms selected % 1.01/1.09 % Version : Especial. % 1.01/1.09 % English : % 1.01/1.09 % 1.01/1.09 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.01/1.09 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 1.01/1.09 % Source : [Bla11] % 1.01/1.09 % Names : arrow_100_fofmg_l309 [Bla11] % 1.01/1.09 % 1.01/1.09 % Status : Theorem % 1.01/1.09 % Rating : 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.22 v5.4.0, 0.29 v5.3.0 % 1.01/1.09 % Syntax : Number of formulae : 322 ( 119 unt; 0 def) % 1.01/1.09 % Number of atoms : 793 ( 145 equ) % 1.01/1.09 % Maximal formula atoms : 16 ( 2 avg) % 1.01/1.09 % Number of connectives : 588 ( 117 ~; 9 |; 57 &) % 1.01/1.09 % ( 50 <=>; 355 =>; 0 <=; 0 <~>) % 1.01/1.09 % Maximal formula depth : 18 ( 5 avg) % 1.01/1.09 % Maximal term depth : 9 ( 2 avg) % 1.01/1.09 % Number of predicates : 11 ( 10 usr; 0 prp; 1-2 aty) % 1.01/1.09 % Number of functors : 217 ( 217 usr; 62 con; 0-2 aty) % 1.01/1.09 % Number of variables : 685 ( 684 !; 1 ?) % 1.01/1.09 % SPC : FOF_THM_RFO_SEQ % 1.01/1.09 % 1.01/1.09 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 1.01/1.09 % 2011-08-09 15:47:39 % 1.01/1.09 % : Encoded with monomorphized guards. % 1.01/1.09 %------------------------------------------------------------------------------ % 1.01/1.09 %----Explicit typings (83) % 1.01/1.09 fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA,axiom, % 1.01/1.09 is_fun631676118l_bool(arrow_1212118780le_IIA) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin,axiom, % 1.01/1.09 is_fun432044380l_bool(arrow_1239002508le_Lin) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf,axiom, % 1.01/1.09 is_fun959573582l_bool(arrow_413697182e_Prof) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity,axiom, % 1.01/1.09 is_fun631676118l_bool(arrow_467566751nimity) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__,axiom, % 1.01/1.09 ! [B_1_1,B_2_1] : is_fun917378774i_bool(cOMBC_277798809t_bool(B_1_1,B_2_1)) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc,axiom, % 1.01/1.09 ! [B_1_1,B_2_1] : % 1.01/1.09 ( is_fun917378774i_bool(B_2_1) % 1.01/1.09 => is_bool(inj_on24934938di_nat(B_1_1,B_2_1)) ) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_,axiom, % 1.01/1.09 ! [B_1_1,B_2_1] : % 1.01/1.09 ( is_fun917378774i_bool(B_1_1) % 1.01/1.09 => is_fun959573582l_bool(pi_Arr688267935t_bool(B_1_1,B_2_1)) ) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin,axiom, % 1.01/1.09 ! [B_1_1,B_2_1] : % 1.01/1.09 ( is_fun959573582l_bool(B_1_1) % 1.01/1.09 => is_fun631676118l_bool(pi_fun433100839t_bool(B_1_1,B_2_1)) ) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa,axiom, % 1.01/1.09 ! [B_1_1,B_2_1] : % 1.01/1.09 ( is_fun282293932t_bool(B_1_1) % 1.01/1.09 => is_fun432044380l_bool(pi_Pro2135156861t_bool(B_1_1,B_2_1)) ) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt,axiom, % 1.01/1.09 is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,axiom, % 1.01/1.09 is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom, % 1.01/1.09 is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq,axiom, % 1.01/1.09 ! [B_1_1,B_2_1] : % 1.01/1.09 ( is_fun917378774i_bool(B_1_1) % 1.01/1.09 => is_fun1016509681e_indi(hilber1792103167di_nat(B_1_1,B_2_1)) ) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool,axiom, % 1.01/1.09 is_bool(top_top_bool) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____,axiom, % 1.01/1.09 is_fun917378774i_bool(top_to1256827021i_bool) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira,axiom, % 1.01/1.09 is_fun959573582l_bool(top_to1194196741l_bool) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde,axiom, % 1.01/1.09 is_fun631676118l_bool(top_to40512653l_bool) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord,axiom, % 1.01/1.09 is_fun432044380l_bool(top_to2005687013l_bool) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir,axiom, % 1.01/1.09 is_fun282293932t_bool(top_to2034604131t_bool) ). % 1.01/1.09 % 1.01/1.09 fof(gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,axiom, % 1.01/1.10 ! [B_1_1] : % 1.01/1.10 ( is_fun917378774i_bool(B_1_1) % 1.01/1.10 => is_fun917378774i_bool(collec45183100e_indi(B_1_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,axiom, % 1.01/1.10 ! [B_1_1] : % 1.01/1.10 ( is_fun959573582l_bool(B_1_1) % 1.01/1.10 => is_fun959573582l_bool(collec1580242420t_bool(B_1_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx,axiom, % 1.01/1.10 ! [B_1_1] : % 1.01/1.10 ( is_fun631676118l_bool(B_1_1) % 1.01/1.10 => is_fun631676118l_bool(collec1520786044t_bool(B_1_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew,axiom, % 1.01/1.10 ! [B_1_1] : % 1.01/1.10 ( is_fun432044380l_bool(B_1_1) % 1.01/1.10 => is_fun432044380l_bool(collec874260222t_bool(B_1_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,axiom, % 1.01/1.10 ! [B_1_1] : % 1.01/1.10 ( is_fun282293932t_bool(B_1_1) % 1.01/1.10 => is_fun282293932t_bool(collec1711870802le_alt(B_1_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_fFalse,axiom, % 1.01/1.10 is_bool(fFalse) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_fTrue,axiom, % 1.01/1.10 is_bool(fTrue) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_Arr553848933le_alt(B_2_1) % 1.01/1.10 => is_fun282293932t_bool(hAPP_A619995676t_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( ( is_fun917378774i_bool(B_1_1) % 1.01/1.10 & is_Arr625519182e_indi(B_2_1) ) % 1.01/1.10 => is_bool(hAPP_A1466488369i_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_Arr625519182e_indi(B_2_1) % 1.01/1.10 => is_fun959573582l_bool(hAPP_A1912483895l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_Arr625519182e_indi(B_2_1) % 1.01/1.10 => is_fun631676118l_bool(hAPP_A1964572607l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_Arr625519182e_indi(B_2_1) % 1.01/1.10 => is_fun432044380l_bool(hAPP_A1944296755l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_Arr625519182e_indi(B_2_1) % 1.01/1.10 => is_fun282293932t_bool(hAPP_A1374816149t_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_bool(B_2_1) % 1.01/1.10 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_bool(B_2_1) % 1.01/1.10 => is_fun917378774i_bool(hAPP_b1018211123i_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_bool(B_2_1) % 1.01/1.10 => is_fun959573582l_bool(hAPP_b1719629739l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_bool(B_2_1) % 1.01/1.10 => is_fun631676118l_bool(hAPP_b990649139l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_bool(B_2_1) % 1.01/1.10 => is_fun432044380l_bool(hAPP_b1965422783l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_bool(B_2_1) % 1.01/1.10 => is_fun282293932t_bool(hAPP_b1024867081t_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun1016509681e_indi(B_1_1) % 1.01/1.10 => is_Arr625519182e_indi(hAPP_n385347014e_indi(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun917378774i_bool(B_2_1) % 1.01/1.10 => is_bool(hAPP_f919661787l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun959573582l_bool(B_1_1) % 1.01/1.10 => is_bool(hAPP_f1636546729l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_f749892423i_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_fun432044380l_bool(hAPP_f861484971l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008,hypothesis, % 1.01/1.10 ! [B_1_1,B_2_1] : is_fun282293932t_bool(hAPP_f695124765t_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f387058535l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f204273237l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f1012384989l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun959573582l_bool(B_2_1) % 1.01/1.10 => is_bool(hAPP_f453661011l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_f618619045e_indi(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun631676118l_bool(B_1_1) % 1.01/1.10 => is_bool(hAPP_f785543729l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_f355113919i_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f483434675l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f1018082273l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f1271180905l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f1550037191l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f1895985727l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f234874197l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f500145249l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun631676118l_bool(B_2_1) % 1.01/1.10 => is_bool(hAPP_f213304539l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f1766869725l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f1279200745l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f592909149l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f526292585l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_bool(hAPP_f460310451l_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun432044380l_bool(B_2_1) % 1.01/1.10 => is_bool(hAPP_f503012287l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun282293932t_bool(B_2_1) % 1.01/1.10 => is_Arr625519182e_indi(hAPP_f1659504677e_indi(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020,hypothesis, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( ( is_fun432044380l_bool(B_1_1) % 1.01/1.10 & is_fun282293932t_bool(B_2_1) ) % 1.01/1.10 => is_bool(hAPP_f745298353l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun282293932t_bool(B_2_1) % 1.01/1.10 => is_fun917378774i_bool(hAPP_f352490559i_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun282293932t_bool(B_2_1) % 1.01/1.10 => is_fun432044380l_bool(hAPP_f2056167603l_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun282293932t_bool(B_2_1) % 1.01/1.10 => is_fun282293932t_bool(hAPP_f1673487381t_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : % 1.01/1.10 ( is_fun282293932t_bool(B_1_1) % 1.01/1.10 => is_bool(hAPP_P2075002375t_bool(B_1_1,B_2_1)) ) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025,axiom, % 1.01/1.10 ! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_P907763049i_bool(B_1_1,B_2_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt,hypothesis, % 1.01/1.10 ! [B_1_1] : is_fun432044380l_bool(member1056080916le_alt(B_1_1)) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_v_Lab____,axiom, % 1.01/1.10 is_fun282293932t_bool(lab) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_v_Lba____,axiom, % 1.01/1.10 is_fun282293932t_bool(lba) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_v_a____,axiom, % 1.01/1.10 is_Arr553848933le_alt(a) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_v_b____,axiom, % 1.01/1.10 is_Arr553848933le_alt(b) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_v_c____,hypothesis, % 1.01/1.10 is_Arr553848933le_alt(c) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_v_d____,hypothesis, % 1.01/1.10 is_Arr553848933le_alt(d) ). % 1.01/1.10 % 1.01/1.10 fof(gsy_v_e____,axiom, % 1.01/1.10 is_Arr553848933le_alt(e) ). % 1.01/1.10 % 1.01/1.10 %----Relevant facts (198) % 1.01/1.10 fof(fact_0_assms_I3_J,axiom, % 1.01/1.10 hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)) ). % 1.01/1.10 % 1.01/1.10 fof(fact_1_u,axiom, % 1.01/1.10 hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)) ). % 1.01/1.10 % 1.01/1.10 fof(fact_2__096c_A_126_061_Ad_096,axiom, % 1.01/1.10 c != d ). % 1.01/1.10 % 1.01/1.10 fof(fact_3__096P_A_058_AProf_096,axiom, % 1.01/1.10 hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)) ). % 1.01/1.10 % 1.01/1.10 fof(fact_4_in__mkbot,axiom, % 1.01/1.11 ! [X_2,Y_1,L,Z_1] : % 1.01/1.11 ( ( is_Arr553848933le_alt(X_2) % 1.01/1.11 & is_Arr553848933le_alt(Y_1) % 1.01/1.11 & is_Arr553848933le_alt(Z_1) ) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),Z_1))) % 1.01/1.11 <=> ( Y_1 != Z_1 % 1.01/1.11 & ( X_2 = Z_1 % 1.01/1.11 => X_2 != Y_1 ) % 1.01/1.11 & ( X_2 != Z_1 % 1.01/1.11 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_5_in__mktop,axiom, % 1.01/1.11 ! [X_2,Y_1,L,Z_1] : % 1.01/1.11 ( ( is_Arr553848933le_alt(X_2) % 1.01/1.11 & is_Arr553848933le_alt(Y_1) % 1.01/1.11 & is_Arr553848933le_alt(Z_1) ) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),Z_1))) % 1.01/1.11 <=> ( X_2 != Z_1 % 1.01/1.11 & ( Y_1 = Z_1 % 1.01/1.11 => X_2 != Y_1 ) % 1.01/1.11 & ( Y_1 != Z_1 % 1.01/1.11 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_6__C2_C,axiom, % 1.01/1.11 ! [P_1,Pa,A_8,B_8,Aa,Ba] : % 1.01/1.11 ( ( is_Arr553848933le_alt(A_8) % 1.01/1.11 & is_Arr553848933le_alt(B_8) % 1.01/1.11 & is_Arr553848933le_alt(Aa) % 1.01/1.11 & is_Arr553848933le_alt(Ba) ) % 1.01/1.11 => ( Aa != Ba % 1.01/1.11 => ( A_8 != B_8 % 1.01/1.11 => ( Aa != B_8 % 1.01/1.11 => ( Ba != A_8 % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof)) % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof)) % 1.01/1.11 => ( ! [I] : % 1.01/1.11 ( is_Arr625519182e_indi(I) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) ) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_7__C1_C,axiom, % 1.01/1.11 ! [P_1,Pa,A_8,B_8,Aa,Ba] : % 1.01/1.11 ( ( is_Arr553848933le_alt(A_8) % 1.01/1.11 & is_Arr553848933le_alt(B_8) % 1.01/1.11 & is_Arr553848933le_alt(Aa) % 1.01/1.11 & is_Arr553848933le_alt(Ba) ) % 1.01/1.11 => ( Aa != Ba % 1.01/1.11 => ( A_8 != B_8 % 1.01/1.11 => ( Aa != B_8 % 1.01/1.11 => ( Ba != A_8 % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof)) % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof)) % 1.01/1.11 => ( ! [I] : % 1.01/1.11 ( is_Arr625519182e_indi(I) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) ) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) % 1.01/1.11 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_8__C4_C,axiom, % 1.01/1.11 ! [P_1,Pa,Ca,Aa,Ba] : % 1.01/1.11 ( ( is_Arr553848933le_alt(Ca) % 1.01/1.11 & is_Arr553848933le_alt(Aa) % 1.01/1.11 & is_Arr553848933le_alt(Ba) ) % 1.01/1.11 => ( Aa != Ba % 1.01/1.11 => ( Ba != Ca % 1.01/1.11 => ( Aa != Ca % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof)) % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof)) % 1.01/1.11 => ( ! [I] : % 1.01/1.11 ( is_Arr625519182e_indi(I) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_A1374816149t_bool(P_1,I))) ) ) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_9_pairwise__neutrality,axiom, % 1.01/1.11 ! [P_1,Pa,A_8,B_8,Aa,Ba] : % 1.01/1.11 ( ( is_Arr553848933le_alt(A_8) % 1.01/1.11 & is_Arr553848933le_alt(B_8) % 1.01/1.11 & is_Arr553848933le_alt(Aa) % 1.01/1.11 & is_Arr553848933le_alt(Ba) ) % 1.01/1.11 => ( Aa != Ba % 1.01/1.11 => ( A_8 != B_8 % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof)) % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof)) % 1.01/1.11 => ( ! [I] : % 1.01/1.11 ( is_Arr625519182e_indi(I) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) ) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_10__C3_C,axiom, % 1.01/1.11 ! [P_1,Pa,Aa,Ba] : % 1.01/1.11 ( ( is_Arr553848933le_alt(Aa) % 1.01/1.11 & is_Arr553848933le_alt(Ba) ) % 1.01/1.11 => ( Aa != Ba % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof)) % 1.01/1.11 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof)) % 1.01/1.11 => ( ! [I] : % 1.01/1.11 ( is_Arr625519182e_indi(I) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_A1374816149t_bool(P_1,I))) ) ) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J,axiom, % 1.01/1.11 ! [I] : % 1.01/1.11 ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,I))) % 1.01/1.11 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) % 1.01/1.11 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,I)),e))) ) % 1.01/1.11 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) % 1.01/1.11 => ( ( hAPP_A588601142di_nat(h,I) = n % 1.01/1.11 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,I)),c),e))) ) % 1.01/1.11 & ( hAPP_A588601142di_nat(h,I) != n % 1.01/1.11 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,I)),e))) ) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0,axiom, % 1.01/1.11 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,h),n)))) ). % 1.01/1.11 % 1.01/1.11 fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom, % 1.01/1.11 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ). % 1.01/1.11 % 1.01/1.11 fof(fact_14_PW,axiom, % 1.01/1.11 ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_15_split__paired__All,axiom, % 1.01/1.11 ! [Pa] : % 1.01/1.11 ( ! [X1] : hBOOL(hAPP_P2075002375t_bool(Pa,X1)) % 1.01/1.11 <=> ! [A_1,B_1] : % 1.01/1.11 ( ( is_Arr553848933le_alt(A_1) % 1.01/1.11 & is_Arr553848933le_alt(B_1) ) % 1.01/1.11 => hBOOL(hAPP_P2075002375t_bool(Pa,produc171383831le_alt(A_1,B_1))) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai,axiom, % 1.01/1.11 hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))),arrow_413697182e_Prof)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom, % 1.01/1.11 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,e)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ). % 1.01/1.11 % 1.01/1.11 fof(fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom, % 1.01/1.11 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ). % 1.01/1.11 % 1.01/1.11 fof(fact_19_n_I1_J,axiom, % 1.01/1.11 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))) ). % 1.01/1.11 % 1.01/1.11 fof(fact_20_injh,axiom, % 1.01/1.11 hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_21_Pair__inject,axiom, % 1.01/1.11 ! [A_10,B_10,A_9,B_9] : % 1.01/1.11 ( ( is_Arr553848933le_alt(A_10) % 1.01/1.11 & is_Arr553848933le_alt(B_10) % 1.01/1.11 & is_Arr553848933le_alt(A_9) % 1.01/1.11 & is_Arr553848933le_alt(B_9) ) % 1.01/1.11 => ( produc171383831le_alt(A_10,B_10) = produc171383831le_alt(A_9,B_9) % 1.01/1.11 => ~ ( A_10 = A_9 % 1.01/1.11 => B_10 != B_9 ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_22_Pair__eq,axiom, % 1.01/1.11 ! [Aa,Ba,A_8,B_8] : % 1.01/1.11 ( ( is_Arr553848933le_alt(Aa) % 1.01/1.11 & is_Arr553848933le_alt(Ba) % 1.01/1.11 & is_Arr553848933le_alt(A_8) % 1.01/1.11 & is_Arr553848933le_alt(B_8) ) % 1.01/1.11 => ( produc171383831le_alt(Aa,Ba) = produc171383831le_alt(A_8,B_8) % 1.01/1.11 <=> ( Aa = A_8 % 1.01/1.11 & Ba = B_8 ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_23_IIA__def,axiom, % 1.01/1.11 ! [Fa] : % 1.01/1.11 ( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,Fa)) % 1.01/1.11 <=> ! [X_1] : % 1.01/1.11 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) % 1.01/1.11 => ! [Xa] : % 1.01/1.11 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Xa),arrow_413697182e_Prof)) % 1.01/1.11 => ! [A_1,B_1] : % 1.01/1.11 ( ( is_Arr553848933le_alt(A_1) % 1.01/1.11 & is_Arr553848933le_alt(B_1) ) % 1.01/1.11 => ( ! [I] : % 1.01/1.11 ( is_Arr625519182e_indi(I) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(Xa,I))) ) ) % 1.01/1.11 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) % 1.01/1.11 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,Xa))) ) ) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_24_unanimity__def,axiom, % 1.01/1.11 ! [Fa] : % 1.01/1.11 ( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,Fa)) % 1.01/1.11 <=> ! [X_1] : % 1.01/1.11 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) % 1.01/1.11 => ! [A_1,B_1] : % 1.01/1.11 ( ( is_Arr553848933le_alt(A_1) % 1.01/1.11 & is_Arr553848933le_alt(B_1) ) % 1.01/1.11 => ( ! [I] : % 1.01/1.11 ( is_Arr625519182e_indi(I) % 1.01/1.11 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I))) ) % 1.01/1.11 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) ) ) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_25_top1I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_26_top1I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_27_top1I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_28_top1I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_29_top1I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_30_UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f387058535l_bool(member_bool(X_2),top_to1647826457l_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_31_UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),top_to1256827021i_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_32_UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),top_to2034604131t_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_33_UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),top_to1194196741l_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_34_UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),top_to40512653l_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_35_UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),top_to2005687013l_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_36_iso__tuple__UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f387058535l_bool(member_bool(X_2),top_to1647826457l_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_37_iso__tuple__UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),top_to1256827021i_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_38_iso__tuple__UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),top_to2034604131t_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_39_iso__tuple__UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),top_to1194196741l_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_40_iso__tuple__UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),top_to40512653l_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_41_iso__tuple__UNIV__I,axiom, % 1.01/1.11 ! [X_2] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),top_to2005687013l_bool)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_42_top__apply,axiom, % 1.01/1.11 ! [X_2] : % 1.01/1.11 ( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2)) % 1.01/1.11 <=> hBOOL(top_top_bool) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_43_top__apply,axiom, % 1.01/1.11 ! [X_2] : % 1.01/1.11 ( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2)) % 1.01/1.11 <=> hBOOL(top_top_bool) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_44_top__apply,axiom, % 1.01/1.11 ! [X_2] : % 1.01/1.11 ( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2)) % 1.01/1.11 <=> hBOOL(top_top_bool) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_45_top__apply,axiom, % 1.01/1.11 ! [X_2] : % 1.01/1.11 ( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2)) % 1.01/1.11 <=> hBOOL(top_top_bool) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_46_top__apply,axiom, % 1.01/1.11 ! [X_2] : % 1.01/1.11 ( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2)) % 1.01/1.11 <=> hBOOL(top_top_bool) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_47_not__top__less,axiom, % 1.01/1.11 ! [Aa] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),Aa)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_48_not__top__less,axiom, % 1.01/1.11 ! [Aa] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),Aa)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_49_not__top__less,axiom, % 1.01/1.11 ! [Aa] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),Aa)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_50_not__top__less,axiom, % 1.01/1.11 ! [Aa] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),Aa)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_51_not__top__less,axiom, % 1.01/1.11 ! [Aa] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),Aa)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_52_not__top__less,axiom, % 1.01/1.11 ! [Aa] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),Aa)) ). % 1.01/1.11 % 1.01/1.11 fof(fact_53_linorder__cases,axiom, % 1.01/1.11 ! [X_14,Y_13] : % 1.01/1.11 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_14),Y_13)) % 1.01/1.11 => ( X_14 != Y_13 % 1.01/1.11 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_14)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_54_order__less__asym,axiom, % 1.01/1.11 ! [X_2,Y_1] : % 1.01/1.11 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) % 1.01/1.11 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_55_order__less__asym,axiom, % 1.01/1.11 ! [X_13,Y_12] : % 1.01/1.11 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_12)) % 1.01/1.11 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_13)) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_56_xt1_I10_J,axiom, % 1.01/1.11 ! [Z_1,Y_1,X_2] : % 1.01/1.11 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) % 1.01/1.11 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Z_1),Y_1)) % 1.01/1.11 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Z_1),X_2)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_57_xt1_I10_J,axiom, % 1.01/1.11 ! [Z_2,Y_11,X_12] : % 1.01/1.11 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_11),X_12)) % 1.01/1.11 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),Y_11)) % 1.01/1.11 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_12)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_58_order__less__trans,axiom, % 1.01/1.11 ! [Z_1,X_2,Y_1] : % 1.01/1.11 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) % 1.01/1.11 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),Z_1)) % 1.01/1.11 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Z_1)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_59_order__less__trans,axiom, % 1.01/1.11 ! [Z,X_11,Y_10] : % 1.01/1.11 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_10)) % 1.01/1.11 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_10),Z)) % 1.01/1.11 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Z)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_60_xt1_I2_J,axiom, % 1.01/1.11 ! [Ca,Ba,Aa] : % 1.01/1.11 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa)) % 1.01/1.11 => ( Ba = Ca % 1.01/1.11 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Aa)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_61_xt1_I2_J,axiom, % 1.01/1.11 ! [C_3,B_7,A_7] : % 1.01/1.11 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_7),A_7)) % 1.01/1.11 => ( B_7 = C_3 % 1.01/1.11 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_3),A_7)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_62_ord__less__eq__trans,axiom, % 1.01/1.11 ! [Ca,Aa,Ba] : % 1.01/1.11 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba)) % 1.01/1.11 => ( Ba = Ca % 1.01/1.11 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ca)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_63_ord__less__eq__trans,axiom, % 1.01/1.11 ! [C_2,A_6,B_6] : % 1.01/1.11 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),B_6)) % 1.01/1.11 => ( B_6 = C_2 % 1.01/1.11 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),C_2)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_64_xt1_I1_J,axiom, % 1.01/1.11 ! [Ca,Aa,Ba] : % 1.01/1.11 ( Aa = Ba % 1.01/1.11 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Ba)) % 1.01/1.11 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Aa)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_65_xt1_I1_J,axiom, % 1.01/1.11 ! [C_1,A_5,B_5] : % 1.01/1.11 ( A_5 = B_5 % 1.01/1.11 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_1),B_5)) % 1.01/1.11 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_1),A_5)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_66_ord__eq__less__trans,axiom, % 1.01/1.11 ! [Ca,Aa,Ba] : % 1.01/1.11 ( Aa = Ba % 1.01/1.11 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Ca)) % 1.01/1.11 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ca)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_67_ord__eq__less__trans,axiom, % 1.01/1.11 ! [C,A_4,B_4] : % 1.01/1.11 ( A_4 = B_4 % 1.01/1.11 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_4),C)) % 1.01/1.11 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_4),C)) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_68_xt1_I9_J,axiom, % 1.01/1.11 ! [Ba,Aa] : % 1.01/1.11 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa)) % 1.01/1.11 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba)) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_69_xt1_I9_J,axiom, % 1.01/1.11 ! [B_3,A_3] : % 1.01/1.11 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_3),A_3)) % 1.01/1.11 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_3),B_3)) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_70_order__less__asym_H,axiom, % 1.01/1.11 ! [Aa,Ba] : % 1.01/1.11 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba)) % 1.01/1.11 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa)) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_71_order__less__asym_H,axiom, % 1.01/1.11 ! [A_2,B_2] : % 1.01/1.11 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_2)) % 1.01/1.11 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_2),A_2)) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_72_order__less__imp__triv,axiom, % 1.01/1.11 ! [Pa,X_2,Y_1] : % 1.01/1.11 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) % 1.01/1.11 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) % 1.01/1.11 => hBOOL(Pa) ) ) ). % 1.01/1.11 % 1.01/1.11 fof(fact_73_order__less__imp__triv,axiom, % 1.01/1.11 ! [Pa,X_2,Y_1] : % 1.01/1.12 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) % 1.01/1.12 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2)) % 1.01/1.12 => hBOOL(Pa) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_74_order__less__imp__not__eq2,axiom, % 1.01/1.12 ! [X_2,Y_1] : % 1.01/1.12 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) % 1.01/1.12 => Y_1 != X_2 ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_75_order__less__imp__not__eq2,axiom, % 1.01/1.12 ! [X_10,Y_9] : % 1.01/1.12 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_9)) % 1.01/1.12 => Y_9 != X_10 ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_76_order__less__imp__not__eq,axiom, % 1.01/1.12 ! [X_2,Y_1] : % 1.01/1.12 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) % 1.01/1.12 => X_2 != Y_1 ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_77_order__less__imp__not__eq,axiom, % 1.01/1.12 ! [X_9,Y_8] : % 1.01/1.12 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_8)) % 1.01/1.12 => X_9 != Y_8 ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_78_order__less__imp__not__less,axiom, % 1.01/1.12 ! [X_2,Y_1] : % 1.01/1.12 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) % 1.01/1.12 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_79_order__less__imp__not__less,axiom, % 1.01/1.12 ! [X_8,Y_7] : % 1.01/1.12 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),Y_7)) % 1.01/1.12 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_7),X_8)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_80_order__less__not__sym,axiom, % 1.01/1.12 ! [X_2,Y_1] : % 1.01/1.12 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) % 1.01/1.12 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_81_order__less__not__sym,axiom, % 1.01/1.12 ! [X_7,Y_6] : % 1.01/1.12 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_7),Y_6)) % 1.01/1.12 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_6),X_7)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_82_less__imp__neq,axiom, % 1.01/1.12 ! [X_2,Y_1] : % 1.01/1.12 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) % 1.01/1.12 => X_2 != Y_1 ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_83_less__imp__neq,axiom, % 1.01/1.12 ! [X_6,Y_5] : % 1.01/1.12 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_6),Y_5)) % 1.01/1.12 => X_6 != Y_5 ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_84_linorder__neqE,axiom, % 1.01/1.12 ! [X_5,Y_4] : % 1.01/1.12 ( X_5 != Y_4 % 1.01/1.12 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_5),Y_4)) % 1.01/1.12 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_4),X_5)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_85_linorder__antisym__conv3,axiom, % 1.01/1.12 ! [Y_1,X_2] : % 1.01/1.12 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2)) % 1.01/1.12 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) % 1.01/1.12 <=> X_2 = Y_1 ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_86_linorder__less__linear,axiom, % 1.01/1.12 ! [X_4,Y_3] : % 1.01/1.12 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_4),Y_3)) % 1.01/1.12 | X_4 = Y_3 % 1.01/1.12 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_4)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_87_not__less__iff__gr__or__eq,axiom, % 1.01/1.12 ! [X_2,Y_1] : % 1.01/1.12 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) % 1.01/1.12 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2)) % 1.01/1.12 | X_2 = Y_1 ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_88_linorder__neq__iff,axiom, % 1.01/1.12 ! [X_2,Y_1] : % 1.01/1.12 ( X_2 != Y_1 % 1.01/1.12 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) % 1.01/1.12 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_89_order__less__irrefl,axiom, % 1.01/1.12 ! [X_2] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),X_2)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_90_order__less__irrefl,axiom, % 1.01/1.12 ! [X_3] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_3),X_3)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_91_UNIV__def,axiom, % 1.01/1.12 top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_92_UNIV__def,axiom, % 1.01/1.12 top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_93_UNIV__def,axiom, % 1.01/1.12 top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_94_UNIV__def,axiom, % 1.01/1.12 top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_95_UNIV__def,axiom, % 1.01/1.12 top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_96_pred__equals__eq2,axiom, % 1.01/1.12 ! [S,R_1] : % 1.01/1.12 ( ( is_fun282293932t_bool(S) % 1.01/1.12 & is_fun282293932t_bool(R_1) ) % 1.01/1.12 => ( ! [X_1,Xa] : % 1.01/1.12 ( ( is_Arr553848933le_alt(X_1) % 1.01/1.12 & is_Arr553848933le_alt(Xa) ) % 1.01/1.12 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),R_1)) % 1.01/1.12 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),S)) ) ) % 1.01/1.12 <=> R_1 = S ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_97_less__top,axiom, % 1.01/1.12 ! [Aa] : % 1.01/1.12 ( is_fun432044380l_bool(Aa) % 1.01/1.12 => ( Aa != top_to2005687013l_bool % 1.01/1.12 <=> hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,Aa),top_to2005687013l_bool)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_98_less__top,axiom, % 1.01/1.12 ! [Aa] : % 1.01/1.12 ( is_fun959573582l_bool(Aa) % 1.01/1.12 => ( Aa != top_to1194196741l_bool % 1.01/1.12 <=> hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,Aa),top_to1194196741l_bool)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_99_less__top,axiom, % 1.01/1.12 ! [Aa] : % 1.01/1.12 ( is_fun631676118l_bool(Aa) % 1.01/1.12 => ( Aa != top_to40512653l_bool % 1.01/1.12 <=> hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,Aa),top_to40512653l_bool)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_100_less__top,axiom, % 1.01/1.12 ! [Aa] : % 1.01/1.12 ( ~ ( hBOOL(Aa) % 1.01/1.12 <=> hBOOL(top_top_bool) ) % 1.01/1.12 <=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Aa),top_top_bool)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_101_less__top,axiom, % 1.01/1.12 ! [Aa] : % 1.01/1.12 ( is_fun282293932t_bool(Aa) % 1.01/1.12 => ( Aa != top_to2034604131t_bool % 1.01/1.12 <=> hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,Aa),top_to2034604131t_bool)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_102_less__top,axiom, % 1.01/1.12 ! [Aa] : % 1.01/1.12 ( is_fun917378774i_bool(Aa) % 1.01/1.12 => ( Aa != top_to1256827021i_bool % 1.01/1.12 <=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),top_to1256827021i_bool)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_103_inv__f__eq,axiom, % 1.01/1.12 ! [X_2,Y_1,F] : % 1.01/1.12 ( is_Arr625519182e_indi(X_2) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool)) % 1.01/1.12 => ( hAPP_A588601142di_nat(F,X_2) = Y_1 % 1.01/1.12 => hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,F),Y_1) = X_2 ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_104_inv__f__f,axiom, % 1.01/1.12 ! [X_2,F] : % 1.01/1.12 ( is_Arr625519182e_indi(X_2) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool)) % 1.01/1.12 => hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,F),hAPP_A588601142di_nat(F,X_2)) = X_2 ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_105_inv__into__f__f,axiom, % 1.01/1.12 ! [X_2,F,A] : % 1.01/1.12 ( is_Arr625519182e_indi(X_2) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,A)) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hAPP_n385347014e_indi(hilber1792103167di_nat(A,F),hAPP_A588601142di_nat(F,X_2)) = X_2 ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_106_inv__into__f__eq,axiom, % 1.01/1.12 ! [Y_1,X_2,F,A] : % 1.01/1.12 ( is_Arr625519182e_indi(X_2) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,A)) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => ( hAPP_A588601142di_nat(F,X_2) = Y_1 % 1.01/1.12 => hAPP_n385347014e_indi(hilber1792103167di_nat(A,F),Y_1) = X_2 ) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_107_inj__eq,axiom, % 1.01/1.12 ! [X_2,Y_1,F] : % 1.01/1.12 ( ( is_Arr625519182e_indi(X_2) % 1.01/1.12 & is_Arr625519182e_indi(Y_1) ) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool)) % 1.01/1.12 => ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1) % 1.01/1.12 <=> X_2 = Y_1 ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_108_inj__on__def,axiom, % 1.01/1.12 ! [F,A] : % 1.01/1.12 ( hBOOL(inj_on24934938di_nat(F,A)) % 1.01/1.12 <=> ! [X_1] : % 1.01/1.12 ( is_Arr625519182e_indi(X_1) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_1),A)) % 1.01/1.12 => ! [Xa] : % 1.01/1.12 ( is_Arr625519182e_indi(Xa) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Xa),A)) % 1.01/1.12 => ( hAPP_A588601142di_nat(F,X_1) = hAPP_A588601142di_nat(F,Xa) % 1.01/1.12 => X_1 = Xa ) ) ) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_109_inj__on__contraD,axiom, % 1.01/1.12 ! [X_2,Y_1,F,A] : % 1.01/1.12 ( ( is_Arr625519182e_indi(X_2) % 1.01/1.12 & is_Arr625519182e_indi(Y_1) ) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,A)) % 1.01/1.12 => ( X_2 != Y_1 % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A)) % 1.01/1.12 => hAPP_A588601142di_nat(F,X_2) != hAPP_A588601142di_nat(F,Y_1) ) ) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_110_inj__on__iff,axiom, % 1.01/1.12 ! [Y_1,X_2,F,A] : % 1.01/1.12 ( ( is_Arr625519182e_indi(Y_1) % 1.01/1.12 & is_Arr625519182e_indi(X_2) ) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,A)) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A)) % 1.01/1.12 => ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1) % 1.01/1.12 <=> X_2 = Y_1 ) ) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_111_inj__onD,axiom, % 1.01/1.12 ! [X_2,Y_1,F,A] : % 1.01/1.12 ( ( is_Arr625519182e_indi(X_2) % 1.01/1.12 & is_Arr625519182e_indi(Y_1) ) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,A)) % 1.01/1.12 => ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A)) % 1.01/1.12 => X_2 = Y_1 ) ) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_112_injD,axiom, % 1.01/1.12 ! [X_2,Y_1,F] : % 1.01/1.12 ( ( is_Arr625519182e_indi(X_2) % 1.01/1.12 & is_Arr625519182e_indi(Y_1) ) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool)) % 1.01/1.12 => ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1) % 1.01/1.12 => X_2 = Y_1 ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_113_inj__imp__inv__eq,axiom, % 1.01/1.12 ! [G,F] : % 1.01/1.12 ( is_fun1016509681e_indi(G) % 1.01/1.12 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool)) % 1.01/1.12 => ( ! [X_1] : hAPP_A588601142di_nat(F,hAPP_n385347014e_indi(G,X_1)) = X_1 % 1.01/1.12 => hilber1792103167di_nat(top_to1256827021i_bool,F) = G ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_114_injI,axiom, % 1.01/1.12 ! [F] : % 1.01/1.12 ( ! [X_1,Y_2] : % 1.01/1.12 ( ( is_Arr625519182e_indi(X_1) % 1.01/1.12 & is_Arr625519182e_indi(Y_2) ) % 1.01/1.12 => ( hAPP_A588601142di_nat(F,X_1) = hAPP_A588601142di_nat(F,Y_2) % 1.01/1.12 => X_1 = Y_2 ) ) % 1.01/1.12 => hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_115_assms_I1_J,axiom, % 1.01/1.12 hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ). % 1.01/1.12 % 1.01/1.12 fof(fact_116__096Lba_A_058_ALin_096,axiom, % 1.01/1.12 hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_117__096Lab_A_058_ALin_096,axiom, % 1.01/1.12 hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_118_Lin__irrefl,axiom, % 1.01/1.12 ! [Aa,Ba,L] : % 1.01/1.12 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) % 1.01/1.12 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),L)) % 1.01/1.12 => ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),L)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_119_notin__Lin__iff,axiom, % 1.01/1.12 ! [X_2,Y_1,L] : % 1.01/1.12 ( ( is_Arr553848933le_alt(X_2) % 1.01/1.12 & is_Arr553848933le_alt(Y_1) ) % 1.01/1.12 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) % 1.01/1.12 => ( X_2 != Y_1 % 1.01/1.12 => ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) % 1.01/1.12 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Y_1,X_2)),L)) ) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_120_mem__def,axiom, % 1.01/1.12 ! [X_2,A] : % 1.01/1.12 ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 <=> hBOOL(hAPP_A1466488369i_bool(A,X_2)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_121_mem__def,axiom, % 1.01/1.12 ! [X_2,A] : % 1.01/1.12 ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 <=> hBOOL(hAPP_bool_bool(A,X_2)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_122_mem__def,axiom, % 1.01/1.12 ! [X_2,A] : % 1.01/1.12 ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) % 1.01/1.12 <=> hBOOL(hAPP_P2075002375t_bool(A,X_2)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_123_mem__def,axiom, % 1.01/1.12 ! [X_2,A] : % 1.01/1.12 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) % 1.01/1.12 <=> hBOOL(hAPP_f1636546729l_bool(A,X_2)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_124_mem__def,axiom, % 1.01/1.12 ! [X_2,A] : % 1.01/1.12 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) % 1.01/1.12 <=> hBOOL(hAPP_f785543729l_bool(A,X_2)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_125_mem__def,axiom, % 1.01/1.12 ! [X_2,A] : % 1.01/1.12 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) % 1.01/1.12 <=> hBOOL(hAPP_f745298353l_bool(A,X_2)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_126_Collect__def,axiom, % 1.01/1.12 ! [Pa] : % 1.01/1.12 ( is_fun917378774i_bool(Pa) % 1.01/1.12 => collec45183100e_indi(Pa) = Pa ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_127_mktop__Lin,axiom, % 1.01/1.12 ! [X_2,L] : % 1.01/1.12 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),X_2)),arrow_1239002508le_Lin)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_128_mkbot__Lin,axiom, % 1.01/1.12 ! [X_2,L] : % 1.01/1.12 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),X_2)),arrow_1239002508le_Lin)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_129_above__Lin,axiom, % 1.01/1.12 ! [L,X_2,Y_1] : % 1.01/1.12 ( ( is_Arr553848933le_alt(X_2) % 1.01/1.12 & is_Arr553848933le_alt(Y_1) ) % 1.01/1.12 => ( X_2 != Y_1 % 1.01/1.12 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,L),X_2),Y_1)),arrow_1239002508le_Lin)) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_130_const__Lin__Prof,axiom, % 1.01/1.12 ! [L] : % 1.01/1.12 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) % 1.01/1.12 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,L)),arrow_413697182e_Prof)) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_131_in__above,axiom, % 1.01/1.12 ! [X_2,Y_1,L,Aa,Ba] : % 1.01/1.12 ( ( is_Arr553848933le_alt(X_2) % 1.01/1.12 & is_Arr553848933le_alt(Y_1) % 1.01/1.12 & is_Arr553848933le_alt(Aa) % 1.01/1.12 & is_Arr553848933le_alt(Ba) ) % 1.01/1.12 => ( Aa != Ba % 1.01/1.12 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) % 1.01/1.12 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,L),Aa),Ba))) % 1.01/1.12 <=> ( X_2 != Y_1 % 1.01/1.12 & ( X_2 = Ba % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Y_1)),L)) ) % 1.01/1.12 & ( X_2 != Ba % 1.01/1.12 => ( ( Y_1 = Ba % 1.01/1.12 => ( X_2 = Aa % 1.01/1.12 | hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Aa)),L)) ) ) % 1.01/1.12 & ( Y_1 != Ba % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) ) ) ) ) ) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_132_dictatorI,axiom, % 1.01/1.12 ! [I_1,Fa] : % 1.01/1.12 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(Fa),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) % 1.01/1.12 => ( ! [X_1] : % 1.01/1.12 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) % 1.01/1.12 => ! [A_1,B_1] : % 1.01/1.12 ( ( is_Arr553848933le_alt(A_1) % 1.01/1.12 & is_Arr553848933le_alt(B_1) ) % 1.01/1.12 => ( A_1 != B_1 % 1.01/1.12 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I_1))) % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) ) ) ) ) % 1.01/1.12 => hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_133_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),hAPP_P2127852789l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_134_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),hAPP_A1374816149t_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_135_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),hAPP_b1024867081t_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_136_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),hAPP_A1912483895l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_137_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),hAPP_b1719629739l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_138_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),hAPP_A1964572607l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_139_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),hAPP_b990649139l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_140_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),hAPP_b1965422783l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_141_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),hAPP_P907763049i_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_142_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),hAPP_f749892423i_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_143_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),hAPP_f313042899l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_144_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),hAPP_f355113919i_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_145_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),hAPP_f497468491l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_146_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),hAPP_f352490559i_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_147_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),hAPP_f417299659l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_148_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),hAPP_f861484971l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_149_PiE,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,B))) % 1.01/1.12 => ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),hAPP_A1944296755l_bool(B,X_2))) % 1.01/1.12 => ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_150_complete__Lin,axiom, % 1.01/1.12 ! [Aa,Ba] : % 1.01/1.12 ( ( is_Arr553848933le_alt(Aa) % 1.01/1.12 & is_Arr553848933le_alt(Ba) ) % 1.01/1.12 => ( Aa != Ba % 1.01/1.12 => ? [X_1] : % 1.01/1.12 ( is_fun282293932t_bool(X_1) % 1.01/1.12 & hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_1),arrow_1239002508le_Lin)) % 1.01/1.12 & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),X_1)) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_151_PiProf,axiom, % 1.01/1.12 ! [Na] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),Na)),lab),lba)),arrow_413697182e_Prof)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_152_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),hAPP_P2127852789l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_153_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),hAPP_P907763049i_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_154_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),hAPP_f749892423i_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_155_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),hAPP_f313042899l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_156_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),hAPP_f355113919i_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_157_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),hAPP_f497468491l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_158_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),hAPP_f352490559i_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_159_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),hAPP_f417299659l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_160_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),hAPP_A1374816149t_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_161_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),hAPP_b1024867081t_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_162_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),hAPP_A1912483895l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_163_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),hAPP_b1719629739l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_164_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),hAPP_A1964572607l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_165_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),hAPP_b990649139l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_166_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),hAPP_b1965422783l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_167_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),hAPP_f861484971l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_168_Pi__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,B))) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),hAPP_A1944296755l_bool(B,X_2))) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_169_Prof__def,axiom, % 1.01/1.12 arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_170_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_171_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_172_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,hAPP_f681113465i_bool(cOMBK_454107598t_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_173_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,hAPP_f219827985l_bool(cOMBK_886533338t_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_174_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_175_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_176_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_177_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_178_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_179_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_180_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,hAPP_f813556705l_bool(cOMBK_116240846e_indi,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_181_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,hAPP_f371807573l_bool(cOMBK_697604314l_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_182_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_183_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_184_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_185_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_186_funcset__mem,axiom, % 1.01/1.12 ! [X_2,F,A,B] : % 1.01/1.12 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,B)))) % 1.01/1.12 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) % 1.01/1.12 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),B)) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_187_dictator__def,axiom, % 1.01/1.12 ! [Fa,I_1] : % 1.01/1.12 ( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1)) % 1.01/1.12 <=> ! [X_1] : % 1.01/1.12 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) % 1.01/1.12 => hAPP_f695124765t_bool(Fa,X_1) = hAPP_A1374816149t_bool(X_1,I_1) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_188_Pi__UNIV,axiom, % 1.01/1.12 ! [A] : pi_Pro2135156861t_bool(A,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool ). % 1.01/1.12 % 1.01/1.12 fof(fact_189_Pi__UNIV,axiom, % 1.01/1.12 ! [A] : pi_fun433100839t_bool(A,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool ). % 1.01/1.12 % 1.01/1.12 fof(fact_190_Pi__UNIV,axiom, % 1.01/1.12 ! [A] : pi_Arr688267935t_bool(A,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool ). % 1.01/1.12 % 1.01/1.12 fof(fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am,axiom, % 1.01/1.12 ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) % 1.01/1.12 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),hAPP_f695124765t_bool(f,cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),lab),lba)))) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am,axiom, % 1.01/1.12 ! [I] : % 1.01/1.12 ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,I)),e))) ) % 1.01/1.12 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) % 1.01/1.12 => ( ( hAPP_A588601142di_nat(h,I) = n % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,I)),c),e))) ) % 1.01/1.12 & ( hAPP_A588601142di_nat(h,I) != n % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,I)),e))) ) ) ) ) % 1.01/1.12 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ) % 1.01/1.12 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) % 1.01/1.12 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ) ) ) ). % 1.01/1.12 % 1.01/1.12 fof(fact_193__096a_A_126_061_Ab_096,axiom, % 1.01/1.12 a != b ). % 1.01/1.12 % 1.01/1.12 fof(fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096,axiom, % 1.01/1.12 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096,axiom, % 1.01/1.12 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096,axiom, % 1.01/1.12 ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)) ). % 1.01/1.12 % 1.01/1.12 fof(fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096,axiom, % 1.01/1.12 ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ). % 1.01/1.12 % 1.01/1.12 %----Helper facts (40) % 1.01/1.12 fof(help_fTrue_1_1_U,axiom, % 1.01/1.12 hBOOL(fTrue) ). % 1.01/1.12 % 1.01/1.12 fof(help_fTrue_1_1_T,axiom, % 1.01/1.12 ! [P] : % 1.01/1.12 ( is_bool(P) % 1.01/1.12 => ( P = fTrue % 1.01/1.12 | P = fFalse ) ) ). % 1.01/1.12 % 1.01/1.12 fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom, % 1.01/1.12 ! [X,Y] : % 1.01/1.12 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) % 1.01/1.12 | X = Y ) ). % 1.01/1.12 % 1.01/1.12 fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom, % 1.01/1.12 ! [X,Y] : % 1.01/1.12 ( X != Y % 1.01/1.12 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_bool(P) % 1.01/1.12 => hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,axiom, % 1.01/1.12 ! [P,Q,R] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(P,Q),R) = hAPP_nat_bool(hAPP_A1922697556t_bool(P,R),Q) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom, % 1.01/1.12 ! [P,Q,R] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_A588601142di_nat(Q,R)) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_bool(P) % 1.01/1.12 => hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom, % 1.01/1.12 ! [X,Y] : % 1.01/1.12 ( is_fun282293932t_bool(X) % 1.01/1.12 => hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X),Y) = X ) ). % 1.01/1.12 % 1.01/1.12 fof(help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom, % 1.01/1.12 ! [X,Y] : % 1.01/1.12 ( is_fun282293932t_bool(Y) % 1.01/1.12 => hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X),Y) = Y ) ). % 1.01/1.12 % 1.01/1.12 fof(help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom, % 1.01/1.12 ! [P] : % 1.01/1.12 ( is_bool(P) % 1.01/1.12 => ( P = fTrue % 1.01/1.12 | P = fFalse ) ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_bool(P) % 1.01/1.12 => hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It,axiom, % 1.01/1.12 ! [P,Q] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,P),Q) = P ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_fun282293932t_bool(P) % 1.01/1.12 => hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,axiom, % 1.01/1.12 ! [P,Q] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,P),Q) = P ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_fun432044380l_bool(P) % 1.01/1.12 => hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_fun917378774i_bool(P) % 1.01/1.12 => hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_fun282293932t_bool(P) % 1.01/1.12 => hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_bool(P) % 1.01/1.12 => hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_fun917378774i_bool(P) % 1.01/1.12 => hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_fun432044380l_bool(P) % 1.01/1.12 => hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,P),Q) = P ) ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029,axiom, % 1.01/1.12 ! [P,Q] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,P),Q) = P ). % 1.01/1.12 % 1.01/1.12 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje,axiom, % 1.01/1.12 ! [P,Q] : % 1.01/1.12 ( is_fun959573582l_bool(P) % 1.01/1.13 => hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,P),Q) = P ) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(P,Q),R) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(P,R),Q) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031,axiom, % 1.01/1.13 ! [P,Q] : % 1.01/1.13 ( is_fun917378774i_bool(P) % 1.01/1.13 => hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,P),Q) = P ) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032,axiom, % 1.01/1.13 ! [P,Q] : % 1.01/1.13 ( is_fun959573582l_bool(P) % 1.01/1.13 => hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,P),Q) = P ) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(P,Q),R) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(P,R),Q) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(P,Q),R) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P,R),Q) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A1374816149t_bool(cOMBS_867867294t_bool(P,Q),R) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P,R),hAPP_A1374816149t_bool(Q,R)) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__,axiom, % 1.01/1.13 ! [P,Q] : % 1.01/1.13 ( is_bool(P) % 1.01/1.13 => hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,P),Q) = P ) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035,axiom, % 1.01/1.13 ! [P,Q] : % 1.01/1.13 ( is_fun432044380l_bool(P) % 1.01/1.13 => hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,P),Q) = P ) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036,axiom, % 1.01/1.13 ! [P,Q] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,P),Q) = P ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel,axiom, % 1.01/1.13 ! [P,Q] : % 1.01/1.13 ( is_fun631676118l_bool(P) % 1.01/1.13 => hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,P),Q) = P ) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(P,Q),R) = hAPP_f1290184496t_bool(P,hAPP_A1374816149t_bool(Q,R)) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037,axiom, % 1.01/1.13 ! [P,Q] : % 1.01/1.13 ( is_fun917378774i_bool(P) % 1.01/1.13 => hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,P),Q) = P ) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038,axiom, % 1.01/1.13 ! [P,Q] : % 1.01/1.13 ( is_fun631676118l_bool(P) % 1.01/1.13 => hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,P),Q) = P ) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(P,Q),R) = hAPP_f1336478923t_bool(P,hAPP_A1374816149t_bool(Q,R)) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(P,Q),R) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(P,R),Q) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A1333445289t_bool(cOMBS_102864562t_bool(P,Q),R) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(P,R),hAPP_A1374816149t_bool(Q,R)) ). % 1.01/1.13 % 1.01/1.13 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_,axiom, % 1.01/1.13 ! [P,Q,R] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(P,Q),R) = hAPP_b1915039793t_bool(P,hAPP_A1466488369i_bool(Q,R)) ). % 1.01/1.13 % 1.01/1.13 %----Conjectures (1) % 1.01/1.13 fof(conj_0,conjecture, % 1.01/1.13 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ). % 1.01/1.13 % 1.01/1.13 %------------------------------------------------------------------------------ % 1.01/1.13 %------------------------------------------- % 1.01/1.13 % Proof found % 1.01/1.13 % SZS status Theorem for theBenchmark % 1.01/1.13 % SZS output start Proof % 1.01/1.13 %ClaNum:817(EqnAxiom:362) % 1.01/1.13 %VarNum:2606(SingletonVarNum:855) % 1.01/1.13 %MaxLitNum:14 % 1.01/1.13 %MaxfuncDepth:7 % 1.01/1.13 %SharedTerms:209 % 1.01/1.13 %goalClause: 481 % 1.01/1.13 %singleGoalClaCount:1 % 1.01/1.13 [363]P1(a1) % 1.01/1.13 [364]P1(a3) % 1.01/1.13 [365]P1(a10) % 1.01/1.13 [366]P2(a4) % 1.01/1.13 [367]P2(a11) % 1.01/1.13 [368]P9(a5) % 1.01/1.13 [369]P9(a12) % 1.01/1.13 [370]P10(a240) % 1.01/1.13 [371]P3(a243) % 1.01/1.13 [372]P3(a13) % 1.01/1.13 [373]P3(a89) % 1.01/1.13 [374]P7(a242) % 1.01/1.13 [375]P7(a90) % 1.01/1.13 [376]P7(a191) % 1.01/1.13 [377]P4(a2) % 1.01/1.13 [378]P4(a14) % 1.01/1.13 [379]P4(a17) % 1.01/1.13 [380]P4(a19) % 1.01/1.13 [381]P4(a58) % 1.01/1.13 [382]P5(a89) % 1.01/1.13 [469]~E(a14,a2) % 1.01/1.13 [470]~E(a19,a17) % 1.01/1.13 [383]P4(f244(a6)) % 1.01/1.13 [384]P6(f245(a7)) % 1.01/1.13 [391]P5(f125(a92,a240)) % 1.01/1.13 [392]P5(f126(a1,a59)) % 1.01/1.13 [393]P5(f126(a3,a59)) % 1.01/1.13 [386]E(f35(f91(a20,a89)),a240) % 1.01/1.13 [387]E(f49(f116(a36,a89)),a12) % 1.01/1.13 [388]E(f50(f118(a37,a89)),a10) % 1.01/1.13 [389]E(f57(f119(a51,a89)),a11) % 1.01/1.13 [390]E(f56(f117(a38,a89)),a242) % 1.01/1.13 [424]E(f194(a240,f155(a39,a4)),a5) % 1.01/1.13 [425]P5(f171(f196(a195),a5)) % 1.01/1.13 [426]P5(f178(f199(a90),a4)) % 1.01/1.13 [427]P5(f178(f199(a191),a4)) % 1.01/1.13 [447]P5(f185(f187(a214,a215),f93(a240))) % 1.01/1.13 [481]~P5(f140(f192(f236(a17,a19)),f179(a59,a195))) % 1.01/1.13 [459]P5(f140(f192(f236(a2,a14)),a90)) % 1.01/1.13 [460]P5(f140(f192(f236(a14,a2)),a191)) % 1.01/1.13 [461]P7(f246(f95(f239(a6,a6),a18))) % 1.01/1.13 [462]P5(f161(f200(a59),f225(a5,f158(a27,a4)))) % 1.01/1.13 [479]~P5(f140(f192(f236(a2,a14)),a191)) % 1.01/1.13 [480]~P5(f140(f192(f236(a14,a2)),a90)) % 1.01/1.13 [463]P5(f140(f192(f236(a17,a19)),f97(a195,f188(f189(a240,a92),a215)))) % 1.01/1.13 [465]P5(f171(f196(f54(f55(f25(a190,f21(f22(a214,a92),a215)),f26(f23(a15,a195),a58)),f54(f55(f25(a190,f21(f22(a94,a92),a215)),f26(f31(f24(a16,a195),a17),a58)),f26(f23(a8,a195),a58)))),a5)) % 1.01/1.13 [466]P5(f140(f192(f236(a17,a19)),f179(a59,f54(f55(f25(a190,f21(f22(a214,a92),a215)),f26(f23(a15,a195),a58)),f54(f55(f25(a190,f21(f22(a94,a92),a215)),f26(f31(f24(a16,a195),a17),a58)),f26(f23(a8,a195),a58)))))) % 1.01/1.13 [467]P5(f140(f192(f236(a17,a58)),f179(a59,f54(f55(f25(a190,f21(f22(a214,a92),a215)),f26(f23(a15,a195),a58)),f54(f55(f25(a190,f21(f22(a94,a92),a215)),f26(f31(f24(a16,a195),a17),a58)),f26(f23(a8,a195),a58)))))) % 1.01/1.13 [468]P5(f140(f192(f236(a58,a19)),f179(a59,f54(f55(f25(a190,f21(f22(a214,a92),a215)),f26(f23(a15,a195),a58)),f54(f55(f25(a190,f21(f22(a94,a92),a215)),f26(f31(f24(a16,a195),a17),a58)),f26(f23(a8,a195),a58)))))) % 1.01/1.13 [385]P2(f192(x3851)) % 1.01/1.13 [394]P5(f96(a240,x3941)) % 1.01/1.13 [395]P5(f127(a12,x3951)) % 1.01/1.13 [396]P5(f126(a10,x3961)) % 1.01/1.13 [397]P5(f140(a11,x3971)) % 1.01/1.13 [398]P5(f100(a242,x3981)) % 1.01/1.13 [428]E(f194(x4281,f155(a39,a11)),a12) % 1.01/1.13 [429]E(f225(x4291,f158(a27,a11)),a10) % 1.01/1.13 [430]E(f226(x4301,f145(a40,a241)),a11) % 1.01/1.13 [436]P5(f186(f205(x4361),a240)) % 1.01/1.13 [438]P5(f167(f206(x4381),a241)) % 1.01/1.13 [440]P5(f171(f196(x4401),a12)) % 1.01/1.13 [442]P5(f161(f200(x4421),a10)) % 1.01/1.13 [444]P5(f178(f199(x4441),a11)) % 1.01/1.13 [446]P5(f140(f192(x4461),a242)) % 1.01/1.13 [471]~P5(f129(f122(a216,a243),x4711)) % 1.01/1.13 [472]~P5(f186(f150(a217,a240),x4721)) % 1.01/1.13 [473]~P5(f171(f153(a218,a12),x4731)) % 1.01/1.13 [474]~P5(f161(f165(a219,a10),x4741)) % 1.01/1.13 [475]~P5(f178(f149(a220,a11),x4751)) % 1.01/1.13 [476]~P5(f140(f162(a221,a242),x4761)) % 1.01/1.13 [477]~P5(f185(f187(a214,x4771),x4771)) % 1.01/1.13 [478]~P5(f186(f150(a217,x4781),x4781)) % 1.01/1.13 [464]P5(f171(f196(f30(f32(f25(a190,f21(f22(a214,a92),x4641)),a90),a191)),a5)) % 1.01/1.13 [399]P2(f183(x3991,x3992)) % 1.01/1.13 [400]P10(f21(x4001,x4002)) % 1.01/1.13 [401]P10(f182(x4011,x4012)) % 1.01/1.13 [402]P10(f141(x4021,x4022)) % 1.01/1.13 [403]P10(f114(x4031,x4032)) % 1.01/1.13 [404]P3(f185(x4041,x4042)) % 1.01/1.13 [405]P3(f167(x4051,x4052)) % 1.01/1.13 [406]P3(f142(x4061,x4062)) % 1.01/1.13 [407]P3(f128(x4071,x4072)) % 1.01/1.13 [408]P3(f169(x4081,x4082)) % 1.01/1.13 [409]P3(f130(x4091,x4092)) % 1.01/1.13 [410]P3(f131(x4101,x4102)) % 1.01/1.13 [411]P3(f133(x4111,x4112)) % 1.01/1.13 [412]P3(f143(x4121,x4122)) % 1.01/1.13 [413]P3(f159(x4131,x4132)) % 1.01/1.13 [414]P3(f174(x4141,x4142)) % 1.01/1.13 [415]P3(f144(x4151,x4152)) % 1.01/1.13 [416]P3(f134(x4161,x4162)) % 1.01/1.13 [417]P3(f176(x4171,x4172)) % 1.01/1.13 [418]P3(f177(x4181,x4182)) % 1.01/1.13 [419]P3(f170(x4191,x4192)) % 1.01/1.13 [420]P7(f179(x4201,x4202)) % 1.01/1.13 [421]P6(f154(x4211,x4212)) % 1.01/1.13 [422]P6(f180(x4221,x4222)) % 1.01/1.13 [423]P6(f101(x4231,x4232)) % 1.01/1.13 [431]E(f115(f145(a40,x4311),x4312),x4311) % 1.01/1.13 [432]E(f164(f160(a52,x4321),x4322),x4321) % 1.01/1.13 [433]E(f175(f132(a28,x4331),x4332),x4331) % 1.01/1.13 [434]E(f172(f146(a29,x4341),x4342),x4341) % 1.01/1.13 [448]E(f187(x4481,f102(x4482,x4483)),f103(f22(x4481,x4482),x4483)) % 1.01/1.13 [449]E(f135(x4491,f97(x4492,x4493)),f111(f23(x4491,x4492),x4493)) % 1.01/1.13 [450]E(f136(x4501,f97(x4502,x4503)),f107(f24(x4501,x4502),x4503)) % 1.01/1.13 [451]E(f120(x4511,f96(x4512,x4513)),f113(f25(x4511,x4512),x4513)) % 1.01/1.13 [452]E(f112(f111(x4521,x4522),x4523),f97(f26(x4521,x4523),x4522)) % 1.01/1.13 [453]E(f96(f21(x4531,x4532),x4533),f185(f103(x4531,x4533),x4532)) % 1.01/1.13 [454]E(f148(f98(x4541,x4542),x4543),f97(f30(x4541,x4543),x4542)) % 1.01/1.13 [455]E(f108(f107(x4551,x4552),x4553),f111(f31(x4551,x4553),x4552)) % 1.01/1.13 [456]E(f139(f113(x4561,x4562),x4563),f98(f32(x4561,x4563),x4562)) % 1.01/1.13 [457]E(f148(f98(x4571,x4572),f97(x4573,x4572)),f97(f54(x4571,x4573),x4572)) % 1.01/1.13 [458]E(f139(f113(x4581,x4582),f97(x4583,x4582)),f98(f55(x4581,x4583),x4582)) % 1.01/1.13 [802]P5(f140(f192(f236(a17,a19)),f179(a59,a195)))+~P5(f140(f192(f236(a17,a19)),f179(a59,f54(f55(f25(a190,f21(f22(a214,a92),a215)),f26(f23(a15,a195),a58)),f54(f55(f25(a190,f21(f22(a94,a92),a215)),f26(f31(f24(a16,a195),a17),a58)),f26(f23(a8,a195),a58)))))) % 1.01/1.13 [803]~P5(f140(f192(f236(a58,a19)),f179(a59,f54(f55(f25(a190,f21(f22(a214,a92),a215)),f26(f23(a15,a195),a58)),f54(f55(f25(a190,f21(f22(a94,a92),a215)),f26(f31(f24(a16,a195),a17),a58)),f26(f23(a8,a195),a58))))))+P5(f140(f192(f236(a14,a2)),f179(a59,f30(f32(f25(a190,f21(f22(a214,a92),a215)),a90),a191)))) % 1.01/1.13 [484]~P10(x4841)+E(f35(x4841),x4841) % 1.01/1.13 [485]~P1(x4851)+P1(f50(x4851)) % 1.01/1.13 [486]~P2(x4861)+P2(f57(x4861)) % 1.01/1.13 [487]~P9(x4871)+P9(f49(x4871)) % 1.01/1.13 [488]~P10(x4881)+P10(f35(x4881)) % 1.01/1.13 [489]~P7(x4891)+P7(f56(x4891)) % 1.01/1.13 [523]P6(f60(x5231))+P5(f125(x5231,a240)) % 1.01/1.13 [524]P6(f75(x5241))+P5(f125(x5241,a240)) % 1.01/1.13 [525]P4(f61(x5251))+P5(f126(a1,x5251)) % 1.01/1.13 [526]P4(f64(x5261))+P5(f126(a1,x5261)) % 1.01/1.13 [527]P4(f65(x5271))+P5(f126(a3,x5271)) % 1.01/1.13 [528]P4(f68(x5281))+P5(f126(a3,x5281)) % 1.01/1.13 [529]~E(f75(x5291),f60(x5291))+P5(f125(x5291,a240)) % 1.01/1.13 [552]P5(a243)+~P5(f96(a240,x5521)) % 1.01/1.13 [553]P5(a243)+~P5(f127(a12,x5531)) % 1.01/1.13 [554]P5(a243)+~P5(f126(a10,x5541)) % 1.01/1.13 [555]P5(a243)+~P5(f140(a11,x5551)) % 1.01/1.13 [556]P5(a243)+~P5(f100(a242,x5561)) % 1.01/1.13 [562]E(f102(x5621,f75(x5621)),f102(x5621,f60(x5621)))+P5(f125(x5621,a240)) % 1.01/1.13 [584]P5(f126(a1,x5841))+P5(f171(f196(f62(x5841)),a5)) % 1.01/1.13 [585]P5(f126(a1,x5851))+P5(f171(f196(f63(x5851)),a5)) % 1.01/1.13 [586]P5(f126(a3,x5861))+P5(f171(f196(f66(x5861)),a5)) % 1.01/1.13 [627]~P5(f178(f199(x6271),a4))+P5(f171(f196(f137(a34,x6271)),a5)) % 1.01/1.13 [721]P5(f126(a3,x7211))+~P5(f140(f192(f236(f65(x7211),f68(x7211))),f179(x7211,f66(x7211)))) % 1.01/1.13 [495]~P9(x4951)+P1(f225(x4951,x4952)) % 1.01/1.13 [496]~P6(x4962)+P1(f109(x4961,x4962)) % 1.01/1.13 [497]~P3(x4972)+P1(f118(x4971,x4972)) % 1.01/1.13 [498]~P7(x4981)+P2(f226(x4981,x4982)) % 1.01/1.13 [499]~P6(x4992)+P2(f110(x4991,x4992)) % 1.01/1.13 [500]~P3(x5002)+P2(f119(x5001,x5002)) % 1.01/1.13 [501]~P7(x5012)+P2(f162(x5011,x5012)) % 1.01/1.13 [502]~P10(x5021)+P9(f194(x5021,x5022)) % 1.01/1.13 [503]~P6(x5032)+P9(f104(x5031,x5032)) % 1.01/1.13 [504]~P3(x5042)+P9(f116(x5041,x5042)) % 1.01/1.13 [505]~P3(x5052)+P10(f91(x5051,x5052)) % 1.01/1.13 [506]~P7(x5062)+P10(f166(x5061,x5062)) % 1.01/1.13 [507]~P10(x5072)+P3(f125(x5071,x5072)) % 1.01/1.13 [508]~P3(x5082)+P3(f129(x5081,x5082)) % 1.01/1.13 [509]~P10(x5092)+P3(f186(x5091,x5092)) % 1.01/1.13 [510]~P9(x5101)+P3(f127(x5101,x5102)) % 1.01/1.13 [511]~P9(x5112)+P3(f171(x5111,x5112)) % 1.01/1.13 [512]~P1(x5121)+P3(f126(x5121,x5122)) % 1.01/1.13 [513]~P1(x5132)+P3(f161(x5131,x5132)) % 1.01/1.13 [514]~P2(x5142)+P3(f178(x5141,x5142)) % 1.01/1.13 [515]~P7(x5151)+P3(f100(x5151,x5152)) % 1.01/1.13 [516]~P4(x5162)+P7(f112(x5161,x5162)) % 1.01/1.13 [517]~P6(x5172)+P7(f97(x5171,x5172)) % 1.01/1.13 [518]~P3(x5182)+P7(f117(x5181,x5182)) % 1.01/1.13 [519]~P7(x5192)+P7(f148(x5191,x5192)) % 1.01/1.13 [520]~P8(x5201)+P6(f188(x5201,x5202)) % 1.01/1.13 [521]~P7(x5212)+P6(f147(x5211,x5212)) % 1.01/1.13 [522]~P10(x5221)+P8(f189(x5221,x5222)) % 1.01/1.13 [530]P4(f76(x5301))+P5(f100(x5301,x5302)) % 1.01/1.13 [531]P4(f87(x5311))+P5(f100(x5311,x5312)) % 1.01/1.13 [560]P5(f125(x5601,x5602))+P6(f71(x5601,x5602)) % 1.01/1.13 [561]P5(f125(x5611,x5612))+P6(f73(x5611,x5612)) % 1.01/1.13 [563]~E(f73(x5631,x5632),f71(x5631,x5632))+P5(f125(x5631,x5632)) % 1.01/1.13 [534]~P3(x5341)+E(f96(f91(a20,x5341),x5342),x5341) % 1.01/1.13 [535]~P9(x5351)+E(f104(f184(a41,x5351),x5352),x5351) % 1.01/1.13 [536]~P1(x5361)+E(f109(f151(a42,x5361),x5362),x5361) % 1.01/1.13 [537]~P2(x5371)+E(f110(f155(a39,x5371),x5372),x5371) % 1.01/1.13 [538]~P7(x5381)+E(f97(f137(a34,x5381),x5382),x5381) % 1.01/1.13 [539]~P9(x5391)+E(f116(f168(a47,x5391),x5392),x5391) % 1.01/1.13 [540]~P1(x5401)+E(f118(f173(a43,x5401),x5402),x5401) % 1.01/1.13 [541]~P2(x5411)+E(f119(f163(a53,x5411),x5412),x5411) % 1.01/1.13 [542]~P7(x5421)+E(f117(f138(a48,x5421),x5422),x5421) % 1.01/1.13 [543]~P3(x5431)+E(f127(f116(a36,x5431),x5432),x5431) % 1.01/1.13 [544]~P10(x5441)+E(f182(f181(a45,x5441),x5442),x5441) % 1.01/1.13 [545]~P2(x5451)+E(f183(f158(a27,x5451),x5452),x5451) % 1.01/1.13 [546]~P3(x5461)+E(f126(f118(a37,x5461),x5462),x5461) % 1.01/1.13 [547]~P10(x5471)+E(f141(f152(a44,x5471),x5472),x5471) % 1.01/1.13 [548]~P3(x5481)+E(f140(f119(a51,x5481),x5482),x5481) % 1.01/1.13 [549]~P10(x5491)+E(f166(f156(a46,x5491),x5492),x5491) % 1.01/1.13 [550]~P3(x5501)+E(f100(f117(a38,x5501),x5502),x5501) % 1.01/1.13 [551]~P10(x5511)+E(f114(f157(a33,x5511),x5512),x5511) % 1.01/1.13 [568]~E(x5681,x5682)+P5(f185(f187(a94,x5681),x5682)) % 1.01/1.13 [578]~P5(f96(x5782,x5781))+P5(f186(f205(x5781),x5782)) % 1.01/1.13 [579]~P5(f129(x5792,x5791))+P5(f167(f206(x5791),x5792)) % 1.01/1.13 [580]~P5(f127(x5802,x5801))+P5(f171(f196(x5801),x5802)) % 1.01/1.13 [581]~P5(f126(x5812,x5811))+P5(f161(f200(x5811),x5812)) % 1.01/1.13 [582]~P5(f140(x5822,x5821))+P5(f178(f199(x5821),x5822)) % 1.01/1.13 [583]~P5(f100(x5832,x5831))+P5(f140(f192(x5831),x5832)) % 1.01/1.13 [587]P5(f96(x5871,x5872))+~P5(f186(f205(x5872),x5871)) % 1.01/1.13 [588]P5(f129(x5881,x5882))+~P5(f167(f206(x5882),x5881)) % 1.01/1.13 [589]P5(f127(x5891,x5892))+~P5(f171(f196(x5892),x5891)) % 1.01/1.13 [590]P5(f126(x5901,x5902))+~P5(f161(f200(x5902),x5901)) % 1.01/1.13 [591]P5(f140(x5911,x5912))+~P5(f178(f199(x5912),x5911)) % 1.01/1.13 [592]P5(f100(x5921,x5922))+~P5(f140(f192(x5922),x5921)) % 1.01/1.13 [595]P5(f125(x5951,x5952))+E(f102(x5951,f73(x5951,x5952)),f102(x5951,f71(x5951,x5952))) % 1.01/1.13 [598]E(x5981,x5982)+~P5(f185(f187(a94,x5981),x5982)) % 1.01/1.13 [605]~E(x6051,x6052)+~P5(f185(f187(a214,x6051),x6052)) % 1.01/1.13 [608]~E(x6081,x6082)+~P5(f186(f150(a217,x6081),x6082)) % 1.01/1.13 [628]~E(f179(x6281,f82(x6281,x6282)),f97(f82(x6281,x6282),x6282))+P5(f96(f141(a9,x6281),x6282)) % 1.01/1.13 [639]~P5(f185(f187(a214,x6392),x6391))+~P5(f185(f187(a214,x6391),x6392)) % 1.01/1.13 [644]~P5(f186(f150(a217,x6442),x6441))+~P5(f186(f150(a217,x6441),x6442)) % 1.01/1.13 [576]~P7(x5762)+E(f148(f139(f120(a190,a13),x5761),x5762),x5762) % 1.01/1.13 [577]~P7(x5771)+E(f148(f139(f120(a190,a89),x5771),x5772),x5771) % 1.01/1.13 [623]P5(f125(x6231,x6232))+P5(f186(f205(f71(x6231,x6232)),x6232)) % 1.01/1.13 [624]P5(f125(x6241,x6242))+P5(f186(f205(f73(x6241,x6242)),x6242)) % 1.01/1.13 [631]P5(f96(f141(a9,x6311),x6312))+P5(f171(f196(f82(x6311,x6312)),a5)) % 1.01/1.13 [633]P5(f100(x6331,x6332))+~P5(f100(x6331,f236(f76(x6331),f87(x6331)))) % 1.01/1.13 [662]~P5(f178(f199(x6621),a4))+P5(f178(f199(f112(f135(a8,x6621),x6622)),a4)) % 1.01/1.13 [663]~P5(f178(f199(x6631),a4))+P5(f178(f199(f112(f135(a15,x6631),x6632)),a4)) % 1.01/1.13 [483]~P3(x4831)+E(x4831,a89)+E(x4831,a13) % 1.01/1.13 [569]~P10(x5691)+E(x5691,a240)+P5(f186(f150(a217,x5691),a240)) % 1.01/1.13 [570]~P9(x5701)+E(x5701,a12)+P5(f171(f153(a218,x5701),a12)) % 1.01/1.13 [571]~P1(x5711)+E(x5711,a10)+P5(f161(f165(a219,x5711),a10)) % 1.01/1.13 [572]~P2(x5721)+E(x5721,a11)+P5(f178(f149(a220,x5721),a11)) % 1.01/1.13 [573]~P7(x5731)+E(x5731,a242)+P5(f140(f162(a221,x5731),a242)) % 1.01/1.13 [574]P5(x5741)+~P5(a243)+P5(f129(f122(a216,x5741),a243)) % 1.01/1.13 [575]~P5(x5751)+P5(a243)+P5(f129(f122(a216,x5751),a243)) % 1.01/1.13 [599]P5(x5991)+P5(a243)+~P5(f129(f122(a216,x5991),a243)) % 1.01/1.13 [610]~P9(x6101)+~E(x6101,a12)+~P5(f171(f153(a218,x6101),a12)) % 1.01/1.13 [611]~P1(x6111)+~E(x6111,a10)+~P5(f161(f165(a219,x6111),a10)) % 1.01/1.13 [612]~P2(x6121)+~E(x6121,a11)+~P5(f178(f149(a220,x6121),a11)) % 1.01/1.13 [613]~P7(x6131)+~E(x6131,a242)+~P5(f140(f162(a221,x6131),a242)) % 1.01/1.13 [614]~P5(x6141)+~P5(a243)+~P5(f129(f122(a216,x6141),a243)) % 1.01/1.13 [730]P5(f126(a1,x7301))+P5(f140(f192(f236(f61(x7301),f64(x7301))),f179(x7301,f62(x7301))))+P5(f140(f192(f236(f61(x7301),f64(x7301))),f179(x7301,f63(x7301)))) % 1.01/1.13 [750]P5(f126(a1,x7501))+~P5(f140(f192(f236(f61(x7501),f64(x7501))),f179(x7501,f62(x7501))))+~P5(f140(f192(f236(f61(x7501),f64(x7501))),f179(x7501,f63(x7501)))) % 1.01/1.13 [744]~P5(f140(f192(f236(a17,a19)),f97(a195,x7441)))+~P5(f185(f187(a214,f102(a92,x7441)),a215))+P5(f140(f192(f236(a17,a19)),f112(f135(a15,f97(a195,x7441)),a58))) % 1.01/1.13 [757]P5(f140(f192(f236(a14,a2)),a90))+~P5(f185(f187(a214,f102(a92,x7571)),a215))+~P5(f140(f192(f236(a58,a19)),f112(f135(a15,f97(a195,x7571)),a58))) % 1.01/1.13 [759]P5(f140(f192(f236(a17,a19)),f97(a195,x7591)))+~P5(f185(f187(a214,f102(a92,x7591)),a215))+~P5(f140(f192(f236(a17,a19)),f112(f135(a15,f97(a195,x7591)),a58))) % 1.01/1.13 [532]~P10(x5321)+~P6(x5322)+P3(f96(x5321,x5322)) % 1.01/1.13 [533]~P2(x5331)+~P7(x5332)+P3(f140(x5331,x5332)) % 1.01/1.13 [597]~P6(x5972)+E(f188(f189(a240,x5971),f102(x5971,x5972)),x5972)+~P5(f125(x5971,a240)) % 1.01/1.13 [620]E(x6201,x6202)+P5(f185(f187(a214,x6202),x6201))+P5(f185(f187(a214,x6201),x6202)) % 1.01/1.13 [657]~P6(x6572)+P5(f126(a3,x6571))+P5(f140(f192(f236(f65(x6571),f68(x6571))),f97(f66(x6571),x6572))) % 1.01/1.13 [658]P4(f78(x6581,x6582))+P5(f96(f141(a9,x6582),x6581))+~P5(f161(f200(x6582),f225(a5,f158(a27,a4)))) % 1.01/1.13 [659]P4(f80(x6591,x6592))+P5(f96(f141(a9,x6592),x6591))+~P5(f161(f200(x6592),f225(a5,f158(a27,a4)))) % 1.01/1.13 [661]~E(f80(x6612,x6611),f78(x6612,x6611))+P5(f96(f141(a9,x6611),x6612))+~P5(f161(f200(x6611),f225(a5,f158(a27,a4)))) % 1.01/1.13 [700]P5(f96(f141(a9,x7001),x7002))+~P5(f161(f200(x7001),f225(a5,f158(a27,a4))))+P5(f171(f196(f79(x7002,x7001)),a5)) % 1.01/1.13 [756]P5(f96(f141(a9,x7561),x7562))+P5(f140(f192(f236(f78(x7562,x7561),f80(x7562,x7561))),f97(f79(x7562,x7561),x7562)))+~P5(f161(f200(x7561),f225(a5,f158(a27,a4)))) % 1.01/1.13 [767]P5(f96(f141(a9,x7671),x7672))+~P5(f140(f192(f236(f78(x7672,x7671),f80(x7672,x7671))),f179(x7671,f79(x7672,x7671))))+~P5(f161(f200(x7671),f225(a5,f158(a27,a4)))) % 1.01/1.13 [629]E(f179(x6291,x6292),f97(x6292,x6293))+~P5(f96(f141(a9,x6291),x6293))+~P5(f171(f196(x6292),a5)) % 1.01/1.13 [652]~P5(f185(f187(a214,x6521),x6523))+P5(f185(f187(a214,x6521),x6522))+~P5(f185(f187(a214,x6523),x6522)) % 1.01/1.13 [654]~P5(f186(f150(a217,x6541),x6543))+P5(f186(f150(a217,x6541),x6542))+~P5(f186(f150(a217,x6543),x6542)) % 1.01/1.13 [720]~P5(f178(f199(x7201),a4))+~P5(f140(f192(f236(x7203,x7202)),x7201))+~P5(f140(f192(f236(x7202,x7203)),x7201)) % 1.01/1.13 [665]~P5(f159(f197(x6651),f227(x6654,x6653)))+P5(f186(f205(f154(x6651,x6652)),f182(x6653,x6652)))+~P5(f171(f196(x6652),x6654)) % 1.01/1.13 [667]~P5(f144(f198(x6671),f235(x6674,x6673)))+P5(f186(f205(f180(x6671,x6672)),f141(x6673,x6672)))+~P5(f161(f200(x6672),x6674)) % 1.01/1.13 [669]~P5(f176(f207(x6691),f237(x6694,x6693)))+P5(f186(f205(f147(x6691,x6692)),f166(x6693,x6692)))+~P5(f178(f199(x6692),x6694)) % 1.01/1.13 [671]~P5(f170(f209(x6711),f228(x6714,x6713)))+P5(f186(f205(f101(x6711,x6712)),f114(x6713,x6712)))+~P5(f140(f192(x6712),x6714)) % 1.01/1.13 [673]~P5(f174(f202(x6731),f229(x6734,x6733)))+P5(f167(f206(f127(x6731,x6732)),f164(x6733,x6732)))+~P5(f171(f196(x6732),x6734)) % 1.01/1.13 [675]~P5(f134(f210(x6751),f238(x6754,x6753)))+P5(f167(f206(f126(x6751,x6752)),f175(x6753,x6752)))+~P5(f161(f200(x6752),x6754)) % 1.01/1.13 [677]~P5(f177(f193(x6771),f234(x6774,x6773)))+P5(f167(f206(f140(x6771,x6772)),f172(x6773,x6772)))+~P5(f178(f199(x6772),x6774)) % 1.01/1.13 [679]~P5(f178(f199(x6791),f226(x6794,x6793)))+P5(f167(f206(f100(x6791,x6792)),f115(x6793,x6792)))+~P5(f140(f192(x6792),x6794)) % 1.01/1.13 [681]~P5(f142(f203(x6811),f222(x6814,x6813)))+P5(f171(f196(f105(x6811,x6812)),f104(x6813,x6812)))+~P5(f186(f205(x6812),x6814)) % 1.01/1.13 [683]~P5(f130(f204(x6831),f230(x6834,x6833)))+P5(f171(f196(f124(x6831,x6832)),f116(x6833,x6832)))+~P5(f167(f206(x6832),x6834)) % 1.01/1.13 [685]~P5(f128(f201(x6851),f224(x6854,x6853)))+P5(f161(f200(f99(x6851,x6852)),f109(x6853,x6852)))+~P5(f186(f205(x6852),x6854)) % 1.01/1.13 [687]~P5(f131(f208(x6871),f233(x6874,x6873)))+P5(f161(f200(f123(x6871,x6872)),f118(x6873,x6872)))+~P5(f167(f206(x6872),x6874)) % 1.01/1.13 [689]~P5(f171(f196(x6891),f194(x6894,x6893)))+P5(f178(f199(f97(x6891,x6892)),f110(x6893,x6892)))+~P5(f186(f205(x6892),x6894)) % 1.01/1.13 [691]~P5(f133(f211(x6911),f231(x6914,x6913)))+P5(f178(f199(f117(x6911,x6912)),f119(x6913,x6912)))+~P5(f167(f206(x6912),x6914)) % 1.01/1.13 [693]~P5(f161(f200(x6931),f225(x6934,x6933)))+P5(f178(f199(f179(x6931,x6932)),f183(x6933,x6932)))+~P5(f171(f196(x6932),x6934)) % 1.01/1.13 [695]~P5(f169(f213(x6951),f223(x6954,x6953)))+P5(f140(f192(f106(x6951,x6952)),f97(x6953,x6952)))+~P5(f186(f205(x6952),x6954)) % 1.01/1.13 [697]~P5(f143(f212(x6971),f232(x6974,x6973)))+P5(f140(f192(f121(x6971,x6972)),f117(x6973,x6972)))+~P5(f167(f206(x6972),x6974)) % 1.01/1.13 [703]~P5(f171(f196(x7032),x7034))+P5(f186(f205(f154(x7031,x7032)),x7033))+~P5(f159(f197(x7031),f227(x7034,f181(a45,x7033)))) % 1.01/1.13 [704]~P5(f161(f200(x7042),x7044))+P5(f186(f205(f180(x7041,x7042)),x7043))+~P5(f144(f198(x7041),f235(x7044,f152(a44,x7043)))) % 1.01/1.13 [705]~P5(f178(f199(x7052),x7054))+P5(f186(f205(f147(x7051,x7052)),x7053))+~P5(f176(f207(x7051),f237(x7054,f156(a46,x7053)))) % 1.01/1.13 [706]~P5(f140(f192(x7062),x7064))+P5(f186(f205(f101(x7061,x7062)),x7063))+~P5(f170(f209(x7061),f228(x7064,f157(a33,x7063)))) % 1.01/1.13 [707]~P5(f171(f196(x7072),x7074))+P5(f167(f206(f127(x7071,x7072)),x7073))+~P5(f174(f202(x7071),f229(x7074,f160(a52,x7073)))) % 1.01/1.13 [708]~P5(f161(f200(x7082),x7084))+P5(f167(f206(f126(x7081,x7082)),x7083))+~P5(f134(f210(x7081),f238(x7084,f132(a28,x7083)))) % 1.01/1.13 [709]~P5(f178(f199(x7092),x7094))+P5(f167(f206(f140(x7091,x7092)),x7093))+~P5(f177(f193(x7091),f234(x7094,f146(a29,x7093)))) % 1.01/1.13 [710]~P5(f140(f192(x7102),x7104))+P5(f167(f206(f100(x7101,x7102)),x7103))+~P5(f178(f199(x7101),f226(x7104,f145(a40,x7103)))) % 1.01/1.13 [711]~P5(f186(f205(x7112),x7114))+P5(f171(f196(f105(x7111,x7112)),x7113))+~P5(f142(f203(x7111),f222(x7114,f184(a41,x7113)))) % 1.01/1.13 [712]~P5(f167(f206(x7122),x7124))+P5(f171(f196(f124(x7121,x7122)),x7123))+~P5(f130(f204(x7121),f230(x7124,f168(a47,x7123)))) % 1.01/1.13 [713]~P5(f186(f205(x7132),x7134))+P5(f161(f200(f99(x7131,x7132)),x7133))+~P5(f128(f201(x7131),f224(x7134,f151(a42,x7133)))) % 1.01/1.13 [714]~P5(f167(f206(x7142),x7144))+P5(f161(f200(f123(x7141,x7142)),x7143))+~P5(f131(f208(x7141),f233(x7144,f173(a43,x7143)))) % 1.01/1.13 [715]~P5(f186(f205(x7152),x7154))+P5(f178(f199(f97(x7151,x7152)),x7153))+~P5(f171(f196(x7151),f194(x7154,f155(a39,x7153)))) % 1.01/1.13 [716]~P5(f167(f206(x7162),x7164))+P5(f178(f199(f117(x7161,x7162)),x7163))+~P5(f133(f211(x7161),f231(x7164,f163(a53,x7163)))) % 1.01/1.13 [717]~P5(f171(f196(x7172),x7174))+P5(f178(f199(f179(x7171,x7172)),x7173))+~P5(f161(f200(x7171),f225(x7174,f158(a27,x7173)))) % 1.01/1.13 [718]~P5(f186(f205(x7182),x7184))+P5(f140(f192(f106(x7181,x7182)),x7183))+~P5(f169(f213(x7181),f223(x7184,f137(a34,x7183)))) % 1.01/1.13 [719]~P5(f167(f206(x7192),x7194))+P5(f140(f192(f121(x7191,x7192)),x7193))+~P5(f143(f212(x7191),f232(x7194,f138(a48,x7193)))) % 1.01/1.13 [732]E(f102(a92,x7321),a215)+~P5(f140(f192(f236(a14,a2)),a191))+P5(f185(f187(a214,f102(a92,x7321)),a215))+P5(f140(f192(f236(a58,a19)),f112(f135(a8,f97(a195,x7321)),a58))) % 1.01/1.13 [742]E(f102(a92,x7421),a215)+~P5(f140(f192(f236(a17,a19)),f97(a195,x7421)))+P5(f185(f187(a214,f102(a92,x7421)),a215))+P5(f140(f192(f236(a17,a19)),f112(f135(a8,f97(a195,x7421)),a58))) % 1.01/1.13 [751]E(f102(a92,x7511),a215)+P5(f140(f192(f236(a17,a19)),f97(a195,x7511)))+P5(f185(f187(a214,f102(a92,x7511)),a215))+~P5(f140(f192(f236(a17,a19)),f112(f135(a8,f97(a195,x7511)),a58))) % 1.01/1.13 [768]E(f102(a92,x7681),a215)+P5(f140(f192(f236(a17,a19)),f97(a195,x7681)))+~P5(f140(f192(f236(a17,a19)),f112(f135(a15,f97(a195,x7681)),a58)))+~P5(f140(f192(f236(a17,a19)),f112(f135(a8,f97(a195,x7681)),a58))) % 1.01/1.13 [763]~E(f102(a92,x7631),a215)+P5(f185(f187(a214,f102(a92,x7631)),a215))+P5(f140(f192(f236(a58,a19)),f112(f108(f136(a16,f97(a195,x7631)),a17),a58)))+~P5(f140(f192(f236(a14,a2)),a191)) % 1.01/1.13 [764]~E(f102(a92,x7641),a215)+~P5(f140(f192(f236(a17,a19)),f97(a195,x7641)))+P5(f185(f187(a214,f102(a92,x7641)),a215))+P5(f140(f192(f236(a17,a19)),f112(f108(f136(a16,f97(a195,x7641)),a17),a58))) % 1.01/1.13 [770]~E(f102(a92,x7701),a215)+P5(f140(f192(f236(a17,a19)),f97(a195,x7701)))+P5(f185(f187(a214,f102(a92,x7701)),a215))+~P5(f140(f192(f236(a17,a19)),f112(f108(f136(a16,f97(a195,x7701)),a17),a58))) % 1.01/1.13 [774]~E(f102(a92,x7741),a215)+P5(f140(f192(f236(a17,a19)),f97(a195,x7741)))+~P5(f140(f192(f236(a17,a19)),f112(f135(a15,f97(a195,x7741)),a58)))+~P5(f140(f192(f236(a17,a19)),f112(f108(f136(a16,f97(a195,x7741)),a17),a58))) % 1.01/1.13 [777]P5(f140(f192(f236(a17,a19)),f97(a195,x7771)))+P5(f185(f187(a214,f102(a92,x7771)),a215))+~P5(f140(f192(f236(a17,a19)),f112(f135(a8,f97(a195,x7771)),a58)))+~P5(f140(f192(f236(a17,a19)),f112(f108(f136(a16,f97(a195,x7771)),a17),a58))) % 1.01/1.13 [779]P5(f140(f192(f236(a17,a19)),f97(a195,x7791)))+~P5(f140(f192(f236(a17,a19)),f112(f135(a15,f97(a195,x7791)),a58)))+~P5(f140(f192(f236(a17,a19)),f112(f135(a8,f97(a195,x7791)),a58)))+~P5(f140(f192(f236(a17,a19)),f112(f108(f136(a16,f97(a195,x7791)),a17),a58))) % 1.01/1.13 [557]~P4(x5572)+~P4(x5571)+E(x5571,x5572)+P7(f77(x5571,x5572)) % 1.01/1.13 [558]~P7(x5582)+~P7(x5581)+E(x5581,x5582)+P4(f69(x5581,x5582)) % 1.01/1.13 [559]~P7(x5592)+~P7(x5591)+E(x5591,x5592)+P4(f70(x5591,x5592)) % 1.01/1.13 [630]~P4(x6302)+~P4(x6301)+E(x6301,x6302)+P5(f140(f192(f236(x6301,x6302)),f77(x6301,x6302))) % 1.01/1.13 [621]~P4(x6212)+~P4(x6211)+E(x6211,x6212)+P5(f178(f199(f77(x6211,x6212)),a4)) % 1.01/1.13 [632]~P8(x6322)+E(f189(a240,x6321),x6322)+~P5(f125(x6321,a240))+~E(f102(x6321,f188(x6322,f74(x6322,x6321))),f74(x6322,x6321)) % 1.01/1.13 [739]~P6(x7392)+P5(f126(a1,x7391))+~P5(f140(f192(f236(f61(x7391),f64(x7391))),f97(f63(x7391),x7392)))+P5(f140(f192(f236(f61(x7391),f64(x7391))),f97(f62(x7391),x7392))) % 1.01/1.13 [740]~P6(x7402)+P5(f126(a1,x7401))+~P5(f140(f192(f236(f61(x7401),f64(x7401))),f97(f62(x7401),x7402)))+P5(f140(f192(f236(f61(x7401),f64(x7401))),f97(f63(x7401),x7402))) % 1.01/1.13 [596]~P6(x5963)+~E(f102(x5961,x5963),x5962)+E(f188(f189(a240,x5961),x5962),x5963)+~P5(f125(x5961,a240)) % 1.01/1.13 [622]~P4(x6223)+~P4(x6222)+~P5(f100(x6221,f81(x6221)))+P5(f100(x6221,f236(x6222,x6223))) % 1.01/1.13 [626]~P6(x6263)+~P5(f125(x6262,x6261))+E(f188(f189(x6261,x6262),f102(x6262,x6263)),x6263)+~P5(f186(f205(x6263),x6261)) % 1.01/1.13 [762]~P7(x7622)+~P7(x7621)+E(x7621,x7622)+P5(f140(f192(f236(f69(x7621,x7622),f70(x7621,x7622))),x7622))+P5(f140(f192(f236(f69(x7621,x7622),f70(x7621,x7622))),x7621)) % 1.01/1.13 [772]~P7(x7722)+~P7(x7721)+E(x7721,x7722)+~P5(f140(f192(f236(f69(x7721,x7722),f70(x7721,x7722))),x7722))+~P5(f140(f192(f236(f69(x7721,x7722),f70(x7721,x7722))),x7721)) % 1.01/1.13 [594]~P6(x5942)+~P6(x5941)+E(x5941,x5942)+~E(f102(x5943,x5941),f102(x5943,x5942))+~P5(f125(x5943,a240)) % 1.01/1.13 [731]~P4(x7312)+~P4(x7311)+E(x7311,x7312)+~P5(f178(f199(x7313),a4))+P5(f178(f199(f112(f108(f136(a16,x7313),x7311),x7312)),a4)) % 1.01/1.13 [625]~P6(x6254)+~E(f102(x6252,x6254),x6253)+~P5(f125(x6252,x6251))+E(f188(f189(x6251,x6252),x6253),x6254)+~P5(f186(f205(x6254),x6251)) % 1.01/1.13 [698]~P4(x6982)+~P4(x6981)+~E(x6981,x6982)+~P4(x6983)+~P5(f140(f192(f236(x6983,x6981)),f112(f135(a8,x6984),x6982))) % 1.01/1.13 [699]~P4(x6992)+~P4(x6991)+~E(x6991,x6992)+~P4(x6993)+~P5(f140(f192(f236(x6991,x6993)),f112(f135(a15,x6994),x6992))) % 1.01/1.13 [660]~P4(x6602)+~P4(x6601)+E(x6601,x6602)+~P5(f178(f199(x6603),a4))+P5(f140(f192(f236(x6601,x6602)),x6603))+P5(f140(f192(f236(x6602,x6601)),x6603)) % 1.01/1.13 [565]~P4(x5654)+~P4(x5653)+~P4(x5652)+~P4(x5651)+E(x5651,x5652)+~E(f236(x5653,x5651),f236(x5654,x5652)) % 1.01/1.13 [567]~P4(x5674)+~P4(x5673)+~P4(x5672)+~P4(x5671)+E(x5671,x5672)+~E(f236(x5671,x5673),f236(x5672,x5674)) % 1.01/1.13 [734]~P4(x7344)+~P4(x7343)+P6(f67(x7341,x7342,x7343,x7344))+~P5(f126(a3,x7341))+P5(f140(f192(f236(x7343,x7344)),f179(x7341,x7342)))+~P5(f171(f196(x7342),a5)) % 1.01/1.13 [701]~P4(x7012)+~P4(x7013)+~P4(x7011)+~E(x7011,x7012)+~E(x7011,x7013)+~P5(f140(f192(f236(x7012,x7011)),f112(f135(a15,x7014),x7013))) % 1.01/1.13 [702]~P4(x7022)+~P4(x7023)+~P4(x7021)+~E(x7021,x7022)+~E(x7021,x7023)+~P5(f140(f192(f236(x7021,x7022)),f112(f135(a8,x7024),x7023))) % 1.01/1.13 [728]~P4(x7283)+~P4(x7282)+~P4(x7281)+E(x7281,x7282)+P5(f140(f192(f236(x7283,x7281)),x7284))+~P5(f140(f192(f236(x7283,x7281)),f112(f135(a15,x7284),x7282))) % 1.01/1.13 [729]~P4(x7293)+~P4(x7292)+~P4(x7291)+E(x7291,x7292)+P5(f140(f192(f236(x7291,x7293)),x7294))+~P5(f140(f192(f236(x7291,x7293)),f112(f135(a8,x7294),x7292))) % 1.01/1.13 [786]~P4(x7862)+~P4(x7861)+~P5(f126(a3,x7863))+P5(f140(f192(f236(x7861,x7862)),f179(x7863,x7864)))+~P5(f171(f196(x7864),a5))+~P5(f140(f192(f236(x7861,x7862)),f97(x7864,f67(x7863,x7864,x7861,x7862)))) % 1.01/1.13 [648]~P6(x6482)+~P6(x6481)+E(x6481,x6482)+~E(f102(x6483,x6481),f102(x6483,x6482))+~P5(f125(x6483,x6484))+~P5(f186(f205(x6482),x6484))+~P5(f186(f205(x6481),x6484)) % 1.01/1.13 [655]~E(x6553,x6551)+~P4(x6552)+~P4(x6551)+~P4(x6553)+E(x6551,x6552)+E(x6553,x6552)+P5(f140(f192(f236(x6552,x6553)),f112(f135(a15,x6554),x6551))) % 1.01/1.13 [656]~E(x6563,x6561)+~P4(x6562)+~P4(x6561)+~P4(x6563)+E(x6561,x6562)+E(x6563,x6562)+P5(f140(f192(f236(x6563,x6562)),f112(f135(a8,x6564),x6561))) % 1.01/1.13 [723]~P4(x7232)+~P4(x7231)+~P4(x7233)+E(x7231,x7232)+E(x7233,x7232)+~P5(f140(f192(f236(x7233,x7231)),x7234))+P5(f140(f192(f236(x7233,x7231)),f112(f135(a8,x7234),x7232))) % 1.01/1.13 [724]~P4(x7242)+~P4(x7241)+~P4(x7243)+E(x7241,x7242)+E(x7243,x7242)+~P5(f140(f192(f236(x7243,x7241)),x7244))+P5(f140(f192(f236(x7243,x7241)),f112(f135(a15,x7244),x7242))) % 1.01/1.13 [725]~P4(x7252)+~P4(x7251)+~P4(x7253)+E(x7251,x7252)+E(x7253,x7251)+~P5(f140(f192(f236(x7253,x7251)),x7254))+P5(f140(f192(f236(x7253,x7251)),f112(f135(a8,x7254),x7252))) % 1.01/1.13 [726]~P4(x7262)+~P4(x7263)+~P4(x7261)+E(x7261,x7262)+E(x7261,x7263)+~P5(f140(f192(f236(x7261,x7263)),x7264))+P5(f140(f192(f236(x7261,x7263)),f112(f135(a15,x7264),x7262))) % 1.01/1.13 [760]~P4(x7602)+~P4(x7601)+E(x7601,x7602)+P6(f83(x7603,x7604,x7601,x7602))+P5(f140(f192(f236(x7602,x7601)),f179(a59,x7603)))+~P5(f140(f192(f236(x7601,x7602)),f179(a59,x7604)))+~P5(f171(f196(x7603),a5))+~P5(f171(f196(x7604),a5)) % 1.01/1.13 [761]~P4(x7612)+~P4(x7611)+E(x7611,x7612)+P6(f83(x7613,x7614,x7612,x7611))+P5(f140(f192(f236(x7612,x7611)),f179(a59,x7614)))+~P5(f140(f192(f236(x7611,x7612)),f179(a59,x7613)))+~P5(f171(f196(x7614),a5))+~P5(f171(f196(x7613),a5)) % 1.01/1.13 [784]~P4(x7845)+~P4(x7844)+P6(f88(x7841,x7842,x7843,x7844,x7845))+~P5(f126(a1,x7841))+P5(f140(f192(f236(x7844,x7845)),f179(x7841,x7842)))+~P5(f140(f192(f236(x7844,x7845)),f179(x7841,x7843)))+~P5(f171(f196(x7842),a5))+~P5(f171(f196(x7843),a5)) % 1.01/1.13 [785]~P4(x7855)+~P4(x7854)+P6(f88(x7851,x7852,x7853,x7854,x7855))+~P5(f126(a1,x7851))+P5(f140(f192(f236(x7854,x7855)),f179(x7851,x7853)))+~P5(f140(f192(f236(x7854,x7855)),f179(x7851,x7852)))+~P5(f171(f196(x7853),a5))+~P5(f171(f196(x7852),a5)) % 1.01/1.13 [741]~P4(x7412)+~P4(x7411)+~P4(x7414)+~P4(x7413)+E(x7411,x7412)+~E(x7413,x7414)+~P5(f178(f199(x7415),a4))+~P5(f140(f192(f236(x7413,x7414)),f112(f108(f136(a16,x7415),x7411),x7412))) % 1.01/1.13 [787]~P4(x7872)+~P4(x7871)+E(x7871,x7872)+~P5(f140(f192(f236(x7871,x7872)),f179(a59,x7874)))+P5(f140(f192(f236(x7872,x7871)),f179(a59,x7873)))+~P5(f171(f196(x7873),a5))+~P5(f171(f196(x7874),a5))+P5(f140(f192(f236(x7872,x7871)),f97(x7873,f83(x7873,x7874,x7871,x7872))))+P5(f140(f192(f236(x7871,x7872)),f97(x7874,f83(x7873,x7874,x7871,x7872)))) % 1.01/1.13 [788]~P4(x7882)+~P4(x7881)+E(x7881,x7882)+~P5(f140(f192(f236(x7881,x7882)),f179(a59,x7884)))+P5(f140(f192(f236(x7882,x7881)),f179(a59,x7883)))+~P5(f171(f196(x7883),a5))+~P5(f171(f196(x7884),a5))+P5(f140(f192(f236(x7882,x7881)),f97(x7883,f83(x7884,x7883,x7882,x7881))))+P5(f140(f192(f236(x7881,x7882)),f97(x7884,f83(x7884,x7883,x7882,x7881)))) % 1.01/1.13 [789]~P4(x7892)+~P4(x7891)+E(x7891,x7892)+~P5(f140(f192(f236(x7891,x7892)),f179(a59,x7894)))+P5(f140(f192(f236(x7892,x7891)),f179(a59,x7893)))+~P5(f171(f196(x7893),a5))+~P5(f171(f196(x7894),a5))+~P5(f140(f192(f236(x7892,x7891)),f97(x7893,f83(x7893,x7894,x7891,x7892))))+~P5(f140(f192(f236(x7891,x7892)),f97(x7894,f83(x7893,x7894,x7891,x7892)))) % 1.01/1.13 [790]~P4(x7902)+~P4(x7901)+E(x7901,x7902)+~P5(f140(f192(f236(x7901,x7902)),f179(a59,x7904)))+P5(f140(f192(f236(x7902,x7901)),f179(a59,x7903)))+~P5(f171(f196(x7903),a5))+~P5(f171(f196(x7904),a5))+~P5(f140(f192(f236(x7902,x7901)),f97(x7903,f83(x7904,x7903,x7902,x7901))))+~P5(f140(f192(f236(x7901,x7902)),f97(x7904,f83(x7904,x7903,x7902,x7901)))) % 1.01/1.13 [800]~P4(x8002)+~P4(x8001)+~P5(f126(a1,x8003))+~P5(f140(f192(f236(x8001,x8002)),f179(x8003,x8005)))+P5(f140(f192(f236(x8001,x8002)),f179(x8003,x8004)))+~P5(f171(f196(x8004),a5))+~P5(f171(f196(x8005),a5))+P5(f140(f192(f236(x8001,x8002)),f97(x8004,f88(x8003,x8004,x8005,x8001,x8002))))+P5(f140(f192(f236(x8001,x8002)),f97(x8005,f88(x8003,x8004,x8005,x8001,x8002)))) % 1.01/1.13 [801]~P4(x8012)+~P4(x8011)+~P5(f126(a1,x8013))+~P5(f140(f192(f236(x8011,x8012)),f179(x8013,x8015)))+P5(f140(f192(f236(x8011,x8012)),f179(x8013,x8014)))+~P5(f171(f196(x8014),a5))+~P5(f171(f196(x8015),a5))+P5(f140(f192(f236(x8011,x8012)),f97(x8014,f88(x8013,x8015,x8014,x8011,x8012))))+P5(f140(f192(f236(x8011,x8012)),f97(x8015,f88(x8013,x8015,x8014,x8011,x8012)))) % 1.01/1.13 [806]~P4(x8062)+~P4(x8061)+~P5(f126(a1,x8063))+~P5(f140(f192(f236(x8061,x8062)),f179(x8063,x8065)))+P5(f140(f192(f236(x8061,x8062)),f179(x8063,x8064)))+~P5(f171(f196(x8064),a5))+~P5(f171(f196(x8065),a5))+~P5(f140(f192(f236(x8061,x8062)),f97(x8064,f88(x8063,x8064,x8065,x8061,x8062))))+~P5(f140(f192(f236(x8061,x8062)),f97(x8065,f88(x8063,x8064,x8065,x8061,x8062)))) % 1.01/1.13 [807]~P4(x8072)+~P4(x8071)+~P5(f126(a1,x8073))+~P5(f140(f192(f236(x8071,x8072)),f179(x8073,x8075)))+P5(f140(f192(f236(x8071,x8072)),f179(x8073,x8074)))+~P5(f171(f196(x8074),a5))+~P5(f171(f196(x8075),a5))+~P5(f140(f192(f236(x8071,x8072)),f97(x8074,f88(x8073,x8075,x8074,x8071,x8072))))+~P5(f140(f192(f236(x8071,x8072)),f97(x8075,f88(x8073,x8075,x8074,x8071,x8072)))) % 1.01/1.13 [747]~P4(x7473)+~P4(x7472)+~P4(x7471)+~P4(x7475)+E(x7471,x7472)+~E(x7475,x7471)+~P5(f178(f199(x7474),a4))+P5(f140(f192(f236(x7472,x7473)),x7474))+~P5(f140(f192(f236(x7475,x7473)),f112(f108(f136(a16,x7474),x7472),x7471))) % 1.01/1.13 [733]~E(x7333,x7331)+~P4(x7334)+~P4(x7332)+~P4(x7331)+~P4(x7333)+E(x7331,x7332)+E(x7333,x7334)+~P5(f178(f199(x7335),a4))+~P5(f140(f192(f236(x7332,x7334)),x7335))+P5(f140(f192(f236(x7333,x7334)),f112(f108(f136(a16,x7335),x7332),x7331))) % 1.01/1.13 [748]~P4(x7482)+~P4(x7483)+~P4(x7481)+~P4(x7484)+E(x7481,x7482)+E(x7481,x7483)+E(x7484,x7481)+~P5(f178(f199(x7485),a4))+P5(f140(f192(f236(x7483,x7484)),x7485))+~P5(f140(f192(f236(x7483,x7484)),f112(f108(f136(a16,x7485),x7482),x7481))) % 1.01/1.13 [782]E(x7823,x7821)+~P4(x7822)+~P4(x7821)+~P4(x7823)+E(x7821,x7822)+E(x7823,x7822)+P6(f84(x7824,x7825,x7822,x7823,x7821))+P5(f140(f192(f236(x7821,x7822)),f179(a59,x7824)))+~P5(f140(f192(f236(x7823,x7821)),f179(a59,x7825)))+~P5(f171(f196(x7824),a5))+~P5(f171(f196(x7825),a5)) % 1.01/1.13 [783]E(x7833,x7831)+~P4(x7832)+~P4(x7831)+~P4(x7833)+E(x7831,x7832)+E(x7833,x7832)+P6(f84(x7834,x7835,x7831,x7832,x7833))+P5(f140(f192(f236(x7832,x7833)),f179(a59,x7835)))+~P5(f140(f192(f236(x7833,x7831)),f179(a59,x7834)))+~P5(f171(f196(x7835),a5))+~P5(f171(f196(x7834),a5)) % 1.01/1.13 [727]~E(x7273,x7272)+~E(x7274,x7271)+~P4(x7272)+~P4(x7273)+~P4(x7271)+~P4(x7274)+E(x7271,x7272)+E(x7271,x7273)+E(x7274,x7273)+~P5(f178(f199(x7275),a4))+P5(f140(f192(f236(x7273,x7274)),f112(f108(f136(a16,x7275),x7272),x7271))) % 1.01/1.13 [735]E(x7354,x7353)+~P4(x7352)+~P4(x7351)+~P4(x7353)+~P4(x7354)+E(x7351,x7352)+E(x7353,x7351)+E(x7354,x7351)+~P5(f178(f199(x7355),a4))+~P5(f140(f192(f236(x7354,x7353)),x7355))+P5(f140(f192(f236(x7354,x7353)),f112(f108(f136(a16,x7355),x7352),x7351))) % 1.01/1.13 [736]~E(x7363,x7361)+~P4(x7362)+~P4(x7361)+~P4(x7364)+~P4(x7363)+E(x7361,x7362)+E(x7363,x7362)+E(x7363,x7364)+~P5(f178(f199(x7365),a4))+~P5(f140(f192(f236(x7363,x7364)),x7365))+P5(f140(f192(f236(x7363,x7364)),f112(f108(f136(a16,x7365),x7361),x7362))) % 1.01/1.13 [737]~E(x7374,x7371)+~P4(x7372)+~P4(x7373)+~P4(x7371)+~P4(x7374)+E(x7371,x7372)+E(x7371,x7373)+E(x7374,x7373)+~P5(f178(f199(x7375),a4))+~P5(f140(f192(f236(x7373,x7372)),x7375))+P5(f140(f192(f236(x7373,x7374)),f112(f108(f136(a16,x7375),x7372),x7371))) % 1.01/1.13 [738]~E(x7384,x7382)+~E(x7383,x7381)+~P4(x7382)+~P4(x7384)+~P4(x7381)+~P4(x7383)+E(x7381,x7382)+E(x7383,x7384)+~P5(f178(f199(x7385),a4))+~P5(f140(f192(f236(x7382,x7383)),x7385))+P5(f140(f192(f236(x7384,x7383)),f112(f108(f136(a16,x7385),x7382),x7381))) % 1.01/1.13 [749]E(x7493,x7491)+~P4(x7492)+~P4(x7491)+~P4(x7493)+~P4(x7495)+E(x7491,x7492)+E(x7493,x7492)+~E(x7495,x7493)+~P5(f178(f199(x7494),a4))+P5(f140(f192(f236(x7491,x7492)),x7494))+~P5(f140(f192(f236(x7491,x7495)),f112(f108(f136(a16,x7494),x7492),x7493))) % 1.01/1.13 [752]~P4(x7522)+~P4(x7521)+~P4(x7523)+~P4(x7524)+E(x7521,x7522)+E(x7523,x7521)+E(x7524,x7523)+~P5(f178(f199(x7525),a4))+~P5(f140(f192(f236(x7522,x7523)),x7525))+~P5(f140(f192(f236(x7524,x7523)),x7525))+P5(f140(f192(f236(x7524,x7523)),f112(f108(f136(a16,x7525),x7522),x7521))) % 1.01/1.13 [753]~P4(x7532)+~P4(x7531)+~P4(x7534)+~P4(x7533)+E(x7531,x7532)+E(x7533,x7532)+E(x7533,x7534)+~P5(f178(f199(x7535),a4))+~P5(f140(f192(f236(x7533,x7531)),x7535))+~P5(f140(f192(f236(x7533,x7534)),x7535))+P5(f140(f192(f236(x7533,x7534)),f112(f108(f136(a16,x7535),x7531),x7532))) % 1.01/1.13 [754]~E(x7543,x7541)+~P4(x7542)+~P4(x7541)+~P4(x7544)+~P4(x7543)+E(x7541,x7542)+E(x7543,x7544)+~P5(f178(f199(x7545),a4))+~P5(f140(f192(f236(x7541,x7544)),x7545))+~P5(f140(f192(f236(x7543,x7544)),x7545))+P5(f140(f192(f236(x7543,x7544)),f112(f108(f136(a16,x7545),x7541),x7542))) % 1.01/1.13 [755]~E(x7553,x7551)+~P4(x7552)+~P4(x7554)+~P4(x7551)+~P4(x7553)+E(x7551,x7552)+E(x7553,x7554)+~P5(f178(f199(x7555),a4))+~P5(f140(f192(f236(x7552,x7553)),x7555))+~P5(f140(f192(f236(x7554,x7552)),x7555))+P5(f140(f192(f236(x7554,x7553)),f112(f108(f136(a16,x7555),x7552),x7551))) % 1.01/1.13 [765]~P4(x7652)+~P4(x7651)+~P4(x7654)+~P4(x7653)+E(x7651,x7652)+E(x7653,x7654)+~P5(f178(f199(x7655),a4))+~P5(f140(f192(f236(x7651,x7654)),x7655))+~P5(f140(f192(f236(x7653,x7651)),x7655))+~P5(f140(f192(f236(x7653,x7654)),x7655))+P5(f140(f192(f236(x7653,x7654)),f112(f108(f136(a16,x7655),x7651),x7652))) % 1.01/1.13 [791]~P4(x7912)+~P4(x7911)+~P4(x7914)+~P4(x7913)+E(x7911,x7912)+E(x7913,x7914)+P6(f86(x7915,x7916,x7911,x7912,x7913,x7914))+P5(f140(f192(f236(x7911,x7912)),f179(a59,x7915)))+~P5(f140(f192(f236(x7913,x7914)),f179(a59,x7916)))+~P5(f171(f196(x7915),a5))+~P5(f171(f196(x7916),a5)) % 1.01/1.13 [792]~P4(x7922)+~P4(x7921)+~P4(x7924)+~P4(x7923)+E(x7921,x7922)+E(x7923,x7924)+P6(f86(x7925,x7926,x7923,x7924,x7921,x7922))+P5(f140(f192(f236(x7921,x7922)),f179(a59,x7926)))+~P5(f140(f192(f236(x7923,x7924)),f179(a59,x7925)))+~P5(f171(f196(x7926),a5))+~P5(f171(f196(x7925),a5)) % 1.01/1.13 [798]E(x7983,x7981)+~P4(x7982)+~P4(x7981)+~P4(x7983)+E(x7981,x7982)+E(x7983,x7982)+~P5(f140(f192(f236(x7983,x7981)),f179(a59,x7985)))+P5(f140(f192(f236(x7982,x7983)),f179(a59,x7984)))+~P5(f171(f196(x7984),a5))+~P5(f171(f196(x7985),a5))+P5(f140(f192(f236(x7982,x7983)),f97(x7984,f84(x7985,x7984,x7981,x7982,x7983))))+P5(f140(f192(f236(x7983,x7981)),f97(x7985,f84(x7985,x7984,x7981,x7982,x7983)))) % 1.01/1.13 [799]E(x7993,x7991)+~P4(x7992)+~P4(x7991)+~P4(x7993)+E(x7991,x7992)+E(x7993,x7992)+~P5(f140(f192(f236(x7993,x7991)),f179(a59,x7995)))+P5(f140(f192(f236(x7991,x7992)),f179(a59,x7994)))+~P5(f171(f196(x7994),a5))+~P5(f171(f196(x7995),a5))+P5(f140(f192(f236(x7991,x7992)),f97(x7994,f84(x7994,x7995,x7992,x7993,x7991))))+P5(f140(f192(f236(x7993,x7991)),f97(x7995,f84(x7994,x7995,x7992,x7993,x7991)))) % 1.01/1.13 [804]E(x8043,x8041)+~P4(x8042)+~P4(x8041)+~P4(x8043)+E(x8041,x8042)+E(x8043,x8042)+~P5(f140(f192(f236(x8043,x8041)),f179(a59,x8045)))+P5(f140(f192(f236(x8042,x8043)),f179(a59,x8044)))+~P5(f171(f196(x8044),a5))+~P5(f171(f196(x8045),a5))+~P5(f140(f192(f236(x8042,x8043)),f97(x8044,f84(x8045,x8044,x8041,x8042,x8043))))+~P5(f140(f192(f236(x8043,x8041)),f97(x8045,f84(x8045,x8044,x8041,x8042,x8043)))) % 1.01/1.13 [805]E(x8053,x8051)+~P4(x8052)+~P4(x8051)+~P4(x8053)+E(x8051,x8052)+E(x8053,x8052)+~P5(f140(f192(f236(x8053,x8051)),f179(a59,x8055)))+P5(f140(f192(f236(x8051,x8052)),f179(a59,x8054)))+~P5(f171(f196(x8054),a5))+~P5(f171(f196(x8055),a5))+~P5(f140(f192(f236(x8051,x8052)),f97(x8054,f84(x8054,x8055,x8052,x8053,x8051))))+~P5(f140(f192(f236(x8053,x8051)),f97(x8055,f84(x8054,x8055,x8052,x8053,x8051)))) % 1.01/1.13 [808]~P4(x8082)+~P4(x8081)+~P4(x8084)+~P4(x8083)+E(x8081,x8082)+E(x8083,x8084)+~P5(f140(f192(f236(x8083,x8084)),f179(a59,x8086)))+P5(f140(f192(f236(x8081,x8082)),f179(a59,x8085)))+~P5(f171(f196(x8085),a5))+~P5(f171(f196(x8086),a5))+P5(f140(f192(f236(x8081,x8082)),f97(x8085,f86(x8085,x8086,x8081,x8082,x8083,x8084))))+P5(f140(f192(f236(x8083,x8084)),f97(x8086,f86(x8085,x8086,x8081,x8082,x8083,x8084)))) % 1.01/1.13 [809]~P4(x8092)+~P4(x8091)+~P4(x8094)+~P4(x8093)+E(x8091,x8092)+E(x8093,x8094)+~P5(f140(f192(f236(x8093,x8094)),f179(a59,x8096)))+P5(f140(f192(f236(x8091,x8092)),f179(a59,x8095)))+~P5(f171(f196(x8095),a5))+~P5(f171(f196(x8096),a5))+P5(f140(f192(f236(x8091,x8092)),f97(x8095,f86(x8096,x8095,x8093,x8094,x8091,x8092))))+P5(f140(f192(f236(x8093,x8094)),f97(x8096,f86(x8096,x8095,x8093,x8094,x8091,x8092)))) % 1.01/1.13 [813]~P4(x8132)+~P4(x8131)+~P4(x8134)+~P4(x8133)+E(x8131,x8132)+E(x8133,x8134)+~P5(f140(f192(f236(x8133,x8134)),f179(a59,x8136)))+P5(f140(f192(f236(x8131,x8132)),f179(a59,x8135)))+~P5(f171(f196(x8135),a5))+~P5(f171(f196(x8136),a5))+~P5(f140(f192(f236(x8131,x8132)),f97(x8135,f86(x8135,x8136,x8131,x8132,x8133,x8134))))+~P5(f140(f192(f236(x8133,x8134)),f97(x8136,f86(x8135,x8136,x8131,x8132,x8133,x8134)))) % 1.01/1.13 [814]~P4(x8142)+~P4(x8141)+~P4(x8144)+~P4(x8143)+E(x8141,x8142)+E(x8143,x8144)+~P5(f140(f192(f236(x8143,x8144)),f179(a59,x8146)))+P5(f140(f192(f236(x8141,x8142)),f179(a59,x8145)))+~P5(f171(f196(x8145),a5))+~P5(f171(f196(x8146),a5))+~P5(f140(f192(f236(x8141,x8142)),f97(x8145,f86(x8146,x8145,x8143,x8144,x8141,x8142))))+~P5(f140(f192(f236(x8143,x8144)),f97(x8146,f86(x8146,x8145,x8143,x8144,x8141,x8142)))) % 1.01/1.13 [793]E(x7934,x7933)+~P4(x7932)+~P4(x7931)+~P4(x7933)+~P4(x7934)+E(x7931,x7932)+E(x7933,x7931)+E(x7934,x7932)+P6(f85(x7935,x7936,x7934,x7933,x7931,x7932))+P5(f140(f192(f236(x7934,x7933)),f179(a59,x7935)))+~P5(f140(f192(f236(x7931,x7932)),f179(a59,x7936)))+~P5(f171(f196(x7936),a5))+~P5(f171(f196(x7935),a5)) % 1.01/1.13 [794]E(x7944,x7943)+~P4(x7942)+~P4(x7941)+~P4(x7943)+~P4(x7944)+E(x7941,x7942)+E(x7943,x7941)+E(x7944,x7942)+P6(f72(x7945,x7946,x7941,x7942,x7944,x7943))+P5(f140(f192(f236(x7941,x7942)),f179(a59,x7945)))+~P5(f140(f192(f236(x7944,x7943)),f179(a59,x7946)))+~P5(f171(f196(x7945),a5))+~P5(f171(f196(x7946),a5)) % 1.01/1.13 [795]E(x7954,x7953)+~P4(x7952)+~P4(x7951)+~P4(x7953)+~P4(x7954)+E(x7951,x7952)+E(x7953,x7951)+E(x7954,x7952)+P6(f72(x7955,x7956,x7954,x7953,x7951,x7952))+P5(f140(f192(f236(x7951,x7952)),f179(a59,x7956)))+~P5(f140(f192(f236(x7954,x7953)),f179(a59,x7955)))+~P5(f171(f196(x7956),a5))+~P5(f171(f196(x7955),a5)) % 1.01/1.13 [810]E(x8104,x8103)+~P4(x8102)+~P4(x8101)+~P4(x8103)+~P4(x8104)+E(x8101,x8102)+E(x8103,x8101)+E(x8104,x8102)+~P5(f140(f192(f236(x8104,x8103)),f179(a59,x8106)))+P5(f140(f192(f236(x8101,x8102)),f179(a59,x8105)))+~P5(f171(f196(x8105),a5))+~P5(f171(f196(x8106),a5))+P5(f140(f192(f236(x8101,x8102)),f97(x8105,f85(x8105,x8106,x8101,x8102,x8104,x8103))))+P5(f140(f192(f236(x8104,x8103)),f97(x8106,f85(x8105,x8106,x8101,x8102,x8104,x8103)))) % 1.01/1.13 [811]E(x8114,x8113)+~P4(x8112)+~P4(x8111)+~P4(x8113)+~P4(x8114)+E(x8111,x8112)+E(x8113,x8111)+E(x8114,x8112)+~P5(f140(f192(f236(x8114,x8113)),f179(a59,x8116)))+P5(f140(f192(f236(x8111,x8112)),f179(a59,x8115)))+~P5(f171(f196(x8115),a5))+~P5(f171(f196(x8116),a5))+P5(f140(f192(f236(x8111,x8112)),f97(x8115,f72(x8115,x8116,x8111,x8112,x8114,x8113))))+P5(f140(f192(f236(x8114,x8113)),f97(x8116,f72(x8115,x8116,x8111,x8112,x8114,x8113)))) % 1.01/1.13 [812]E(x8124,x8123)+~P4(x8122)+~P4(x8121)+~P4(x8123)+~P4(x8124)+E(x8121,x8122)+E(x8123,x8121)+E(x8124,x8122)+~P5(f140(f192(f236(x8124,x8123)),f179(a59,x8126)))+P5(f140(f192(f236(x8121,x8122)),f179(a59,x8125)))+~P5(f171(f196(x8125),a5))+~P5(f171(f196(x8126),a5))+P5(f140(f192(f236(x8121,x8122)),f97(x8125,f72(x8126,x8125,x8124,x8123,x8121,x8122))))+P5(f140(f192(f236(x8124,x8123)),f97(x8126,f72(x8126,x8125,x8124,x8123,x8121,x8122)))) % 1.01/1.13 [815]E(x8154,x8153)+~P4(x8152)+~P4(x8151)+~P4(x8153)+~P4(x8154)+E(x8151,x8152)+E(x8153,x8151)+E(x8154,x8152)+~P5(f140(f192(f236(x8154,x8153)),f179(a59,x8156)))+P5(f140(f192(f236(x8151,x8152)),f179(a59,x8155)))+~P5(f171(f196(x8155),a5))+~P5(f171(f196(x8156),a5))+~P5(f140(f192(f236(x8151,x8152)),f97(x8155,f85(x8155,x8156,x8151,x8152,x8154,x8153))))+~P5(f140(f192(f236(x8154,x8153)),f97(x8156,f85(x8155,x8156,x8151,x8152,x8154,x8153)))) % 1.01/1.13 [816]E(x8164,x8163)+~P4(x8162)+~P4(x8161)+~P4(x8163)+~P4(x8164)+E(x8161,x8162)+E(x8163,x8161)+E(x8164,x8162)+~P5(f140(f192(f236(x8164,x8163)),f179(a59,x8166)))+P5(f140(f192(f236(x8161,x8162)),f179(a59,x8165)))+~P5(f171(f196(x8165),a5))+~P5(f171(f196(x8166),a5))+~P5(f140(f192(f236(x8161,x8162)),f97(x8165,f72(x8165,x8166,x8161,x8162,x8164,x8163))))+~P5(f140(f192(f236(x8164,x8163)),f97(x8166,f72(x8165,x8166,x8161,x8162,x8164,x8163)))) % 1.01/1.13 [817]E(x8174,x8173)+~P4(x8172)+~P4(x8171)+~P4(x8173)+~P4(x8174)+E(x8171,x8172)+E(x8173,x8171)+E(x8174,x8172)+~P5(f140(f192(f236(x8174,x8173)),f179(a59,x8176)))+P5(f140(f192(f236(x8171,x8172)),f179(a59,x8175)))+~P5(f171(f196(x8175),a5))+~P5(f171(f196(x8176),a5))+~P5(f140(f192(f236(x8171,x8172)),f97(x8175,f72(x8176,x8175,x8174,x8173,x8171,x8172))))+~P5(f140(f192(f236(x8174,x8173)),f97(x8176,f72(x8176,x8175,x8174,x8173,x8171,x8172)))) % 1.01/1.13 %EqnAxiom % 1.01/1.13 [1]E(x11,x11) % 1.01/1.13 [2]E(x22,x21)+~E(x21,x22) % 1.01/1.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.01/1.13 [4]~E(x41,x42)+E(f244(x41),f244(x42)) % 1.01/1.13 [5]~E(x51,x52)+E(f245(x51),f245(x52)) % 1.01/1.13 [6]~E(x61,x62)+E(f192(x61),f192(x62)) % 1.01/1.13 [7]~E(x71,x72)+E(f91(x71,x73),f91(x72,x73)) % 1.01/1.13 [8]~E(x81,x82)+E(f91(x83,x81),f91(x83,x82)) % 1.01/1.13 [9]~E(x91,x92)+E(f35(x91),f35(x92)) % 1.01/1.13 [10]~E(x101,x102)+E(f116(x101,x103),f116(x102,x103)) % 1.01/1.13 [11]~E(x111,x112)+E(f116(x113,x111),f116(x113,x112)) % 1.01/1.13 [12]~E(x121,x122)+E(f49(x121),f49(x122)) % 1.01/1.13 [13]~E(x131,x132)+E(f118(x131,x133),f118(x132,x133)) % 1.01/1.13 [14]~E(x141,x142)+E(f118(x143,x141),f118(x143,x142)) % 1.01/1.13 [15]~E(x151,x152)+E(f50(x151),f50(x152)) % 1.01/1.13 [16]~E(x161,x162)+E(f119(x161,x163),f119(x162,x163)) % 1.01/1.13 [17]~E(x171,x172)+E(f119(x173,x171),f119(x173,x172)) % 1.01/1.13 [18]~E(x181,x182)+E(f57(x181),f57(x182)) % 1.01/1.13 [19]~E(x191,x192)+E(f117(x191,x193),f117(x192,x193)) % 1.01/1.13 [20]~E(x201,x202)+E(f117(x203,x201),f117(x203,x202)) % 1.01/1.13 [21]~E(x211,x212)+E(f56(x211),f56(x212)) % 1.01/1.13 [22]~E(x221,x222)+E(f125(x221,x223),f125(x222,x223)) % 1.01/1.13 [23]~E(x231,x232)+E(f125(x233,x231),f125(x233,x232)) % 1.01/1.13 [24]~E(x241,x242)+E(f126(x241,x243),f126(x242,x243)) % 1.01/1.13 [25]~E(x251,x252)+E(f126(x253,x251),f126(x253,x252)) % 1.01/1.13 [26]~E(x261,x262)+E(f54(x261,x263),f54(x262,x263)) % 1.01/1.13 [27]~E(x271,x272)+E(f54(x273,x271),f54(x273,x272)) % 1.01/1.13 [28]~E(x281,x282)+E(f96(x281,x283),f96(x282,x283)) % 1.01/1.13 [29]~E(x291,x292)+E(f96(x293,x291),f96(x293,x292)) % 1.01/1.13 [30]~E(x301,x302)+E(f127(x301,x303),f127(x302,x303)) % 1.01/1.13 [31]~E(x311,x312)+E(f127(x313,x311),f127(x313,x312)) % 1.01/1.13 [32]~E(x321,x322)+E(f26(x321,x323),f26(x322,x323)) % 1.01/1.13 [33]~E(x331,x332)+E(f26(x333,x331),f26(x333,x332)) % 1.01/1.13 [34]~E(x341,x342)+E(f140(x341,x343),f140(x342,x343)) % 1.01/1.13 [35]~E(x351,x352)+E(f140(x353,x351),f140(x353,x352)) % 1.01/1.13 [36]~E(x361,x362)+E(f100(x361,x363),f100(x362,x363)) % 1.01/1.13 [37]~E(x371,x372)+E(f100(x373,x371),f100(x373,x372)) % 1.01/1.13 [38]~E(x381,x382)+E(f183(x381,x383),f183(x382,x383)) % 1.01/1.13 [39]~E(x391,x392)+E(f183(x393,x391),f183(x393,x392)) % 1.01/1.13 [40]~E(x401,x402)+E(f21(x401,x403),f21(x402,x403)) % 1.01/1.13 [41]~E(x411,x412)+E(f21(x413,x411),f21(x413,x412)) % 1.01/1.13 [42]~E(x421,x422)+E(f182(x421,x423),f182(x422,x423)) % 1.01/1.13 [43]~E(x431,x432)+E(f182(x433,x431),f182(x433,x432)) % 1.01/1.13 [44]~E(x441,x442)+E(f141(x441,x443),f141(x442,x443)) % 1.01/1.13 [45]~E(x451,x452)+E(f141(x453,x451),f141(x453,x452)) % 1.01/1.13 [46]~E(x461,x462)+E(f114(x461,x463),f114(x462,x463)) % 1.01/1.13 [47]~E(x471,x472)+E(f114(x473,x471),f114(x473,x472)) % 1.01/1.13 [48]~E(x481,x482)+E(f185(x481,x483),f185(x482,x483)) % 1.01/1.13 [49]~E(x491,x492)+E(f185(x493,x491),f185(x493,x492)) % 1.01/1.13 [50]~E(x501,x502)+E(f167(x501,x503),f167(x502,x503)) % 1.01/1.13 [51]~E(x511,x512)+E(f167(x513,x511),f167(x513,x512)) % 1.01/1.13 [52]~E(x521,x522)+E(f142(x521,x523),f142(x522,x523)) % 1.01/1.13 [53]~E(x531,x532)+E(f142(x533,x531),f142(x533,x532)) % 1.01/1.13 [54]~E(x541,x542)+E(f128(x541,x543),f128(x542,x543)) % 1.01/1.13 [55]~E(x551,x552)+E(f128(x553,x551),f128(x553,x552)) % 1.01/1.13 [56]~E(x561,x562)+E(f169(x561,x563),f169(x562,x563)) % 1.01/1.13 [57]~E(x571,x572)+E(f169(x573,x571),f169(x573,x572)) % 1.01/1.13 [58]~E(x581,x582)+E(f130(x581,x583),f130(x582,x583)) % 1.01/1.13 [59]~E(x591,x592)+E(f130(x593,x591),f130(x593,x592)) % 1.01/1.13 [60]~E(x601,x602)+E(f131(x601,x603),f131(x602,x603)) % 1.01/1.13 [61]~E(x611,x612)+E(f131(x613,x611),f131(x613,x612)) % 1.01/1.13 [62]~E(x621,x622)+E(f133(x621,x623),f133(x622,x623)) % 1.01/1.13 [63]~E(x631,x632)+E(f133(x633,x631),f133(x633,x632)) % 1.01/1.13 [64]~E(x641,x642)+E(f143(x641,x643),f143(x642,x643)) % 1.01/1.13 [65]~E(x651,x652)+E(f143(x653,x651),f143(x653,x652)) % 1.01/1.13 [66]~E(x661,x662)+E(f159(x661,x663),f159(x662,x663)) % 1.01/1.13 [67]~E(x671,x672)+E(f159(x673,x671),f159(x673,x672)) % 1.01/1.13 [68]~E(x681,x682)+E(f174(x681,x683),f174(x682,x683)) % 1.01/1.13 [69]~E(x691,x692)+E(f174(x693,x691),f174(x693,x692)) % 1.01/1.13 [70]~E(x701,x702)+E(f144(x701,x703),f144(x702,x703)) % 1.01/1.13 [71]~E(x711,x712)+E(f144(x713,x711),f144(x713,x712)) % 1.01/1.13 [72]~E(x721,x722)+E(f134(x721,x723),f134(x722,x723)) % 1.01/1.13 [73]~E(x731,x732)+E(f134(x733,x731),f134(x733,x732)) % 1.01/1.13 [74]~E(x741,x742)+E(f176(x741,x743),f176(x742,x743)) % 1.01/1.13 [75]~E(x751,x752)+E(f176(x753,x751),f176(x753,x752)) % 1.01/1.13 [76]~E(x761,x762)+E(f177(x761,x763),f177(x762,x763)) % 1.01/1.13 [77]~E(x771,x772)+E(f177(x773,x771),f177(x773,x772)) % 1.01/1.13 [78]~E(x781,x782)+E(f170(x781,x783),f170(x782,x783)) % 1.01/1.13 [79]~E(x791,x792)+E(f170(x793,x791),f170(x793,x792)) % 1.01/1.13 [80]~E(x801,x802)+E(f179(x801,x803),f179(x802,x803)) % 1.01/1.13 [81]~E(x811,x812)+E(f179(x813,x811),f179(x813,x812)) % 1.01/1.13 [82]~E(x821,x822)+E(f154(x821,x823),f154(x822,x823)) % 1.01/1.13 [83]~E(x831,x832)+E(f154(x833,x831),f154(x833,x832)) % 1.01/1.13 [84]~E(x841,x842)+E(f180(x841,x843),f180(x842,x843)) % 1.01/1.13 [85]~E(x851,x852)+E(f180(x853,x851),f180(x853,x852)) % 1.01/1.13 [86]~E(x861,x862)+E(f101(x861,x863),f101(x862,x863)) % 1.01/1.13 [87]~E(x871,x872)+E(f101(x873,x871),f101(x873,x872)) % 1.01/1.13 [88]~E(x881,x882)+E(f155(x881,x883),f155(x882,x883)) % 1.01/1.13 [89]~E(x891,x892)+E(f155(x893,x891),f155(x893,x892)) % 1.01/1.13 [90]~E(x901,x902)+E(f194(x901,x903),f194(x902,x903)) % 1.01/1.13 [91]~E(x911,x912)+E(f194(x913,x911),f194(x913,x912)) % 1.01/1.13 [92]~E(x921,x922)+E(f196(x921),f196(x922)) % 1.01/1.13 [93]~E(x931,x932)+E(f171(x931,x933),f171(x932,x933)) % 1.01/1.13 [94]~E(x941,x942)+E(f171(x943,x941),f171(x943,x942)) % 1.01/1.13 [95]~E(x951,x952)+E(f199(x951),f199(x952)) % 1.01/1.13 [96]~E(x961,x962)+E(f178(x961,x963),f178(x962,x963)) % 1.01/1.13 [97]~E(x971,x972)+E(f178(x973,x971),f178(x973,x972)) % 1.01/1.13 [98]~E(x981,x982)+E(f108(x981,x983),f108(x982,x983)) % 1.01/1.13 [99]~E(x991,x992)+E(f108(x993,x991),f108(x993,x992)) % 1.01/1.13 [100]~E(x1001,x1002)+E(f135(x1001,x1003),f135(x1002,x1003)) % 1.01/1.13 [101]~E(x1011,x1012)+E(f135(x1013,x1011),f135(x1013,x1012)) % 1.01/1.13 [102]~E(x1021,x1022)+E(f112(x1021,x1023),f112(x1022,x1023)) % 1.01/1.13 [103]~E(x1031,x1032)+E(f112(x1033,x1031),f112(x1033,x1032)) % 1.01/1.13 [104]~E(x1041,x1042)+E(f102(x1041,x1043),f102(x1042,x1043)) % 1.01/1.13 [105]~E(x1051,x1052)+E(f102(x1053,x1051),f102(x1053,x1052)) % 1.01/1.13 [106]~E(x1061,x1062)+E(f158(x1061,x1063),f158(x1062,x1063)) % 1.01/1.13 [107]~E(x1071,x1072)+E(f158(x1073,x1071),f158(x1073,x1072)) % 1.01/1.13 [108]~E(x1081,x1082)+E(f225(x1081,x1083),f225(x1082,x1083)) % 1.01/1.13 [109]~E(x1091,x1092)+E(f225(x1093,x1091),f225(x1093,x1092)) % 1.01/1.13 [110]~E(x1101,x1102)+E(f145(x1101,x1103),f145(x1102,x1103)) % 1.01/1.13 [111]~E(x1111,x1112)+E(f145(x1113,x1111),f145(x1113,x1112)) % 1.01/1.13 [112]~E(x1121,x1122)+E(f226(x1121,x1123),f226(x1122,x1123)) % 1.01/1.13 [113]~E(x1131,x1132)+E(f226(x1133,x1131),f226(x1133,x1132)) % 1.01/1.13 [114]~E(x1141,x1142)+E(f121(x1141,x1143),f121(x1142,x1143)) % 1.01/1.13 [115]~E(x1151,x1152)+E(f121(x1153,x1151),f121(x1153,x1152)) % 1.01/1.13 [116]~E(x1161,x1162)+E(f115(x1161,x1163),f115(x1162,x1163)) % 1.01/1.13 [117]~E(x1171,x1172)+E(f115(x1173,x1171),f115(x1173,x1172)) % 1.01/1.13 [118]~E(x1181,x1182)+E(f160(x1181,x1183),f160(x1182,x1183)) % 1.01/1.13 [119]~E(x1191,x1192)+E(f160(x1193,x1191),f160(x1193,x1192)) % 1.01/1.13 [120]~E(x1201,x1202)+E(f164(x1201,x1203),f164(x1202,x1203)) % 1.01/1.13 [121]~E(x1211,x1212)+E(f164(x1213,x1211),f164(x1213,x1212)) % 1.01/1.13 [122]~E(x1221,x1222)+E(f132(x1221,x1223),f132(x1222,x1223)) % 1.01/1.13 [123]~E(x1231,x1232)+E(f132(x1233,x1231),f132(x1233,x1232)) % 1.01/1.13 [124]~E(x1241,x1242)+E(f175(x1241,x1243),f175(x1242,x1243)) % 1.01/1.13 [125]~E(x1251,x1252)+E(f175(x1253,x1251),f175(x1253,x1252)) % 1.01/1.13 [126]~E(x1261,x1262)+E(f146(x1261,x1263),f146(x1262,x1263)) % 1.01/1.13 [127]~E(x1271,x1272)+E(f146(x1273,x1271),f146(x1273,x1272)) % 1.01/1.13 [128]~E(x1281,x1282)+E(f172(x1281,x1283),f172(x1282,x1283)) % 1.01/1.13 [129]~E(x1291,x1292)+E(f172(x1293,x1291),f172(x1293,x1292)) % 1.01/1.13 [130]~E(x1301,x1302)+E(f205(x1301),f205(x1302)) % 1.01/1.13 [131]~E(x1311,x1312)+E(f186(x1311,x1313),f186(x1312,x1313)) % 1.01/1.13 [132]~E(x1321,x1322)+E(f186(x1323,x1321),f186(x1323,x1322)) % 1.01/1.13 [133]~E(x1331,x1332)+E(f236(x1331,x1333),f236(x1332,x1333)) % 1.01/1.13 [134]~E(x1341,x1342)+E(f236(x1343,x1341),f236(x1343,x1342)) % 1.01/1.13 [135]~E(x1351,x1352)+E(f204(x1351),f204(x1352)) % 1.01/1.13 [136]~E(x1361,x1362)+E(f206(x1361),f206(x1362)) % 1.01/1.13 [137]~E(x1371,x1372)+E(f136(x1371,x1373),f136(x1372,x1373)) % 1.01/1.13 [138]~E(x1381,x1382)+E(f136(x1383,x1381),f136(x1383,x1382)) % 1.01/1.13 [139]~E(x1391,x1392)+E(f202(x1391),f202(x1392)) % 1.01/1.13 [140]~E(x1401,x1402)+E(f97(x1401,x1403),f97(x1402,x1403)) % 1.01/1.13 [141]~E(x1411,x1412)+E(f97(x1413,x1411),f97(x1413,x1412)) % 1.01/1.13 [142]~E(x1421,x1422)+E(f69(x1421,x1423),f69(x1422,x1423)) % 1.01/1.13 [143]~E(x1431,x1432)+E(f69(x1433,x1431),f69(x1433,x1432)) % 1.01/1.13 [144]~E(x1441,x1442)+E(f147(x1441,x1443),f147(x1442,x1443)) % 1.01/1.13 [145]~E(x1451,x1452)+E(f147(x1453,x1451),f147(x1453,x1452)) % 1.01/1.13 [146]~E(x1461,x1462)+E(f213(x1461),f213(x1462)) % 1.01/1.13 [147]~E(x1471,x1472)+E(f235(x1471,x1473),f235(x1472,x1473)) % 1.01/1.13 [148]~E(x1481,x1482)+E(f235(x1483,x1481),f235(x1483,x1482)) % 1.01/1.13 [149]~E(x1491,x1492)+E(f200(x1491),f200(x1492)) % 1.01/1.13 [150]~E(x1501,x1502)+E(f161(x1501,x1503),f161(x1502,x1503)) % 1.01/1.13 [151]~E(x1511,x1512)+E(f161(x1513,x1511),f161(x1513,x1512)) % 1.01/1.13 [152]~E(x1521,x1522)+E(f24(x1521,x1523),f24(x1522,x1523)) % 1.01/1.13 [153]~E(x1531,x1532)+E(f24(x1533,x1531),f24(x1533,x1532)) % 1.01/1.13 [154]~E(x1541,x1542)+E(f150(x1541,x1543),f150(x1542,x1543)) % 1.01/1.13 [155]~E(x1551,x1552)+E(f150(x1553,x1551),f150(x1553,x1552)) % 1.01/1.13 [156]~E(x1561,x1562)+E(f70(x1561,x1563),f70(x1562,x1563)) % 1.01/1.13 [157]~E(x1571,x1572)+E(f70(x1573,x1571),f70(x1573,x1572)) % 1.01/1.13 [158]~E(x1581,x1582)+E(f88(x1581,x1583,x1584,x1585,x1586),f88(x1582,x1583,x1584,x1585,x1586)) % 1.01/1.13 [159]~E(x1591,x1592)+E(f88(x1593,x1591,x1594,x1595,x1596),f88(x1593,x1592,x1594,x1595,x1596)) % 1.01/1.13 [160]~E(x1601,x1602)+E(f88(x1603,x1604,x1601,x1605,x1606),f88(x1603,x1604,x1602,x1605,x1606)) % 1.01/1.13 [161]~E(x1611,x1612)+E(f88(x1613,x1614,x1615,x1611,x1616),f88(x1613,x1614,x1615,x1612,x1616)) % 1.01/1.13 [162]~E(x1621,x1622)+E(f88(x1623,x1624,x1625,x1626,x1621),f88(x1623,x1624,x1625,x1626,x1622)) % 1.01/1.13 [163]~E(x1631,x1632)+E(f152(x1631,x1633),f152(x1632,x1633)) % 1.01/1.13 [164]~E(x1641,x1642)+E(f152(x1643,x1641),f152(x1643,x1642)) % 1.01/1.13 [165]~E(x1651,x1652)+E(f188(x1651,x1653),f188(x1652,x1653)) % 1.01/1.13 [166]~E(x1661,x1662)+E(f188(x1663,x1661),f188(x1663,x1662)) % 1.01/1.13 [167]~E(x1671,x1672)+E(f227(x1671,x1673),f227(x1672,x1673)) % 1.01/1.13 [168]~E(x1681,x1682)+E(f227(x1683,x1681),f227(x1683,x1682)) % 1.01/1.13 [169]~E(x1691,x1692)+E(f84(x1691,x1693,x1694,x1695,x1696),f84(x1692,x1693,x1694,x1695,x1696)) % 1.01/1.13 [170]~E(x1701,x1702)+E(f84(x1703,x1701,x1704,x1705,x1706),f84(x1703,x1702,x1704,x1705,x1706)) % 1.01/1.13 [171]~E(x1711,x1712)+E(f84(x1713,x1714,x1711,x1715,x1716),f84(x1713,x1714,x1712,x1715,x1716)) % 1.01/1.13 [172]~E(x1721,x1722)+E(f84(x1723,x1724,x1725,x1721,x1726),f84(x1723,x1724,x1725,x1722,x1726)) % 1.01/1.13 [173]~E(x1731,x1732)+E(f84(x1733,x1734,x1735,x1736,x1731),f84(x1733,x1734,x1735,x1736,x1732)) % 1.01/1.13 [174]~E(x1741,x1742)+E(f197(x1741),f197(x1742)) % 1.01/1.13 [175]~E(x1751,x1752)+E(f198(x1751),f198(x1752)) % 1.01/1.13 [176]~E(x1761,x1762)+E(f187(x1761,x1763),f187(x1762,x1763)) % 1.01/1.13 [177]~E(x1771,x1772)+E(f187(x1773,x1771),f187(x1773,x1772)) % 1.01/1.13 [178]~E(x1781,x1782)+E(f93(x1781),f93(x1782)) % 1.01/1.13 [179]~E(x1791,x1792)+E(f238(x1791,x1793),f238(x1792,x1793)) % 1.01/1.13 [180]~E(x1801,x1802)+E(f238(x1803,x1801),f238(x1803,x1802)) % 1.01/1.13 [181]~E(x1811,x1812)+E(f106(x1811,x1813),f106(x1812,x1813)) % 1.01/1.13 [182]~E(x1821,x1822)+E(f106(x1823,x1821),f106(x1823,x1822)) % 1.01/1.13 [183]~E(x1831,x1832)+E(f157(x1831,x1833),f157(x1832,x1833)) % 1.01/1.13 [184]~E(x1841,x1842)+E(f157(x1843,x1841),f157(x1843,x1842)) % 1.01/1.13 [185]~E(x1851,x1852)+E(f22(x1851,x1853),f22(x1852,x1853)) % 1.01/1.13 [186]~E(x1861,x1862)+E(f22(x1863,x1861),f22(x1863,x1862)) % 1.01/1.13 [187]~E(x1871,x1872)+E(f103(x1871,x1873),f103(x1872,x1873)) % 1.01/1.13 [188]~E(x1881,x1882)+E(f103(x1883,x1881),f103(x1883,x1882)) % 1.01/1.13 [189]~E(x1891,x1892)+E(f137(x1891,x1893),f137(x1892,x1893)) % 1.01/1.13 [190]~E(x1901,x1902)+E(f137(x1903,x1901),f137(x1903,x1902)) % 1.01/1.13 [191]~E(x1911,x1912)+E(f62(x1911),f62(x1912)) % 1.01/1.13 [192]~E(x1921,x1922)+E(f23(x1921,x1923),f23(x1922,x1923)) % 1.01/1.13 [193]~E(x1931,x1932)+E(f23(x1933,x1931),f23(x1933,x1932)) % 1.01/1.13 [194]~E(x1941,x1942)+E(f111(x1941,x1943),f111(x1942,x1943)) % 1.01/1.13 [195]~E(x1951,x1952)+E(f111(x1953,x1951),f111(x1953,x1952)) % 1.01/1.13 [196]~E(x1961,x1962)+E(f109(x1961,x1963),f109(x1962,x1963)) % 1.01/1.13 [197]~E(x1971,x1972)+E(f109(x1973,x1971),f109(x1973,x1972)) % 1.01/1.13 [198]~E(x1981,x1982)+E(f237(x1981,x1983),f237(x1982,x1983)) % 1.01/1.13 [199]~E(x1991,x1992)+E(f237(x1993,x1991),f237(x1993,x1992)) % 1.01/1.13 [200]~E(x2001,x2002)+E(f203(x2001),f203(x2002)) % 1.01/1.13 [201]~E(x2011,x2012)+E(f107(x2011,x2013),f107(x2012,x2013)) % 1.01/1.13 [202]~E(x2021,x2022)+E(f107(x2023,x2021),f107(x2023,x2022)) % 1.01/1.13 [203]~E(x2031,x2032)+E(f193(x2031),f193(x2032)) % 1.01/1.13 [204]~E(x2041,x2042)+E(f120(x2041,x2043),f120(x2042,x2043)) % 1.01/1.13 [205]~E(x2051,x2052)+E(f120(x2053,x2051),f120(x2053,x2052)) % 1.01/1.13 [206]~E(x2061,x2062)+E(f25(x2061,x2063),f25(x2062,x2063)) % 1.01/1.13 [207]~E(x2071,x2072)+E(f25(x2073,x2071),f25(x2073,x2072)) % 1.01/1.13 [208]~E(x2081,x2082)+E(f113(x2081,x2083),f113(x2082,x2083)) % 1.01/1.13 [209]~E(x2091,x2092)+E(f113(x2093,x2091),f113(x2093,x2092)) % 1.01/1.13 [210]~E(x2101,x2102)+E(f129(x2101,x2103),f129(x2102,x2103)) % 1.01/1.13 [211]~E(x2111,x2112)+E(f129(x2113,x2111),f129(x2113,x2112)) % 1.01/1.13 [212]~E(x2121,x2122)+E(f207(x2121),f207(x2122)) % 1.01/1.13 [213]~E(x2131,x2132)+E(f122(x2131,x2133),f122(x2132,x2133)) % 1.01/1.13 [214]~E(x2141,x2142)+E(f122(x2143,x2141),f122(x2143,x2142)) % 1.01/1.13 [215]~E(x2151,x2152)+E(f32(x2151,x2153),f32(x2152,x2153)) % 1.01/1.13 [216]~E(x2161,x2162)+E(f32(x2163,x2161),f32(x2163,x2162)) % 1.01/1.13 [217]~E(x2171,x2172)+E(f99(x2171,x2173),f99(x2172,x2173)) % 1.01/1.13 [218]~E(x2181,x2182)+E(f99(x2183,x2181),f99(x2183,x2182)) % 1.01/1.13 [219]~E(x2191,x2192)+E(f72(x2191,x2193,x2194,x2195,x2196,x2197),f72(x2192,x2193,x2194,x2195,x2196,x2197)) % 1.01/1.13 [220]~E(x2201,x2202)+E(f72(x2203,x2201,x2204,x2205,x2206,x2207),f72(x2203,x2202,x2204,x2205,x2206,x2207)) % 1.01/1.13 [221]~E(x2211,x2212)+E(f72(x2213,x2214,x2211,x2215,x2216,x2217),f72(x2213,x2214,x2212,x2215,x2216,x2217)) % 1.01/1.13 [222]~E(x2221,x2222)+E(f72(x2223,x2224,x2225,x2221,x2226,x2227),f72(x2223,x2224,x2225,x2222,x2226,x2227)) % 1.01/1.13 [223]~E(x2231,x2232)+E(f72(x2233,x2234,x2235,x2236,x2231,x2237),f72(x2233,x2234,x2235,x2236,x2232,x2237)) % 1.01/1.13 [224]~E(x2241,x2242)+E(f72(x2243,x2244,x2245,x2246,x2247,x2241),f72(x2243,x2244,x2245,x2246,x2247,x2242)) % 1.01/1.13 [225]~E(x2251,x2252)+E(f229(x2251,x2253),f229(x2252,x2253)) % 1.01/1.13 [226]~E(x2261,x2262)+E(f229(x2263,x2261),f229(x2263,x2262)) % 1.01/1.13 [227]~E(x2271,x2272)+E(f81(x2271),f81(x2272)) % 1.01/1.13 [228]~E(x2281,x2282)+E(f98(x2281,x2283),f98(x2282,x2283)) % 1.01/1.13 [229]~E(x2291,x2292)+E(f98(x2293,x2291),f98(x2293,x2292)) % 1.01/1.13 [230]~E(x2301,x2302)+E(f148(x2301,x2303),f148(x2302,x2303)) % 1.01/1.13 [231]~E(x2311,x2312)+E(f148(x2313,x2311),f148(x2313,x2312)) % 1.01/1.13 [232]~E(x2321,x2322)+E(f30(x2321,x2323),f30(x2322,x2323)) % 1.01/1.13 [233]~E(x2331,x2332)+E(f30(x2333,x2331),f30(x2333,x2332)) % 1.01/1.13 [234]~E(x2341,x2342)+E(f208(x2341),f208(x2342)) % 1.01/1.13 [235]~E(x2351,x2352)+E(f80(x2351,x2353),f80(x2352,x2353)) % 1.01/1.13 [236]~E(x2361,x2362)+E(f80(x2363,x2361),f80(x2363,x2362)) % 1.01/1.13 [237]~E(x2371,x2372)+E(f83(x2371,x2373,x2374,x2375),f83(x2372,x2373,x2374,x2375)) % 1.01/1.13 [238]~E(x2381,x2382)+E(f83(x2383,x2381,x2384,x2385),f83(x2383,x2382,x2384,x2385)) % 1.01/1.13 [239]~E(x2391,x2392)+E(f83(x2393,x2394,x2391,x2395),f83(x2393,x2394,x2392,x2395)) % 1.01/1.13 [240]~E(x2401,x2402)+E(f83(x2403,x2404,x2405,x2401),f83(x2403,x2404,x2405,x2402)) % 1.01/1.13 [241]~E(x2411,x2412)+E(f31(x2411,x2413),f31(x2412,x2413)) % 1.01/1.13 [242]~E(x2421,x2422)+E(f31(x2423,x2421),f31(x2423,x2422)) % 1.01/1.13 [243]~E(x2431,x2432)+E(f173(x2431,x2433),f173(x2432,x2433)) % 1.01/1.13 [244]~E(x2441,x2442)+E(f173(x2443,x2441),f173(x2443,x2442)) % 1.01/1.13 [245]~E(x2451,x2452)+E(f55(x2451,x2453),f55(x2452,x2453)) % 1.01/1.13 [246]~E(x2461,x2462)+E(f55(x2463,x2461),f55(x2463,x2462)) % 1.01/1.13 [247]~E(x2471,x2472)+E(f139(x2471,x2473),f139(x2472,x2473)) % 1.01/1.13 [248]~E(x2481,x2482)+E(f139(x2483,x2481),f139(x2483,x2482)) % 1.01/1.13 [249]~E(x2491,x2492)+E(f61(x2491),f61(x2492)) % 1.01/1.13 [250]~E(x2501,x2502)+E(f78(x2501,x2503),f78(x2502,x2503)) % 1.01/1.13 [251]~E(x2511,x2512)+E(f78(x2513,x2511),f78(x2513,x2512)) % 1.01/1.13 [252]~E(x2521,x2522)+E(f230(x2521,x2523),f230(x2522,x2523)) % 1.01/1.13 [253]~E(x2531,x2532)+E(f230(x2533,x2531),f230(x2533,x2532)) % 1.01/1.13 [254]~E(x2541,x2542)+E(f60(x2541),f60(x2542)) % 1.01/1.13 [255]~E(x2551,x2552)+E(f68(x2551),f68(x2552)) % 1.01/1.13 [256]~E(x2561,x2562)+E(f210(x2561),f210(x2562)) % 1.01/1.13 [257]~E(x2571,x2572)+E(f228(x2571,x2573),f228(x2572,x2573)) % 1.01/1.13 [258]~E(x2581,x2582)+E(f228(x2583,x2581),f228(x2583,x2582)) % 1.01/1.13 [259]~E(x2591,x2592)+E(f86(x2591,x2593,x2594,x2595,x2596,x2597),f86(x2592,x2593,x2594,x2595,x2596,x2597)) % 1.01/1.13 [260]~E(x2601,x2602)+E(f86(x2603,x2601,x2604,x2605,x2606,x2607),f86(x2603,x2602,x2604,x2605,x2606,x2607)) % 1.01/1.13 [261]~E(x2611,x2612)+E(f86(x2613,x2614,x2611,x2615,x2616,x2617),f86(x2613,x2614,x2612,x2615,x2616,x2617)) % 1.01/1.13 [262]~E(x2621,x2622)+E(f86(x2623,x2624,x2625,x2621,x2626,x2627),f86(x2623,x2624,x2625,x2622,x2626,x2627)) % 1.01/1.13 [263]~E(x2631,x2632)+E(f86(x2633,x2634,x2635,x2636,x2631,x2637),f86(x2633,x2634,x2635,x2636,x2632,x2637)) % 1.01/1.13 [264]~E(x2641,x2642)+E(f86(x2643,x2644,x2645,x2646,x2647,x2641),f86(x2643,x2644,x2645,x2646,x2647,x2642)) % 1.01/1.13 [265]~E(x2651,x2652)+E(f201(x2651),f201(x2652)) % 1.01/1.13 [266]~E(x2661,x2662)+E(f189(x2661,x2663),f189(x2662,x2663)) % 1.01/1.13 [267]~E(x2671,x2672)+E(f189(x2673,x2671),f189(x2673,x2672)) % 1.01/1.13 [268]~E(x2681,x2682)+E(f76(x2681),f76(x2682)) % 1.01/1.13 [269]~E(x2691,x2692)+E(f65(x2691),f65(x2692)) % 1.01/1.13 [270]~E(x2701,x2702)+E(f87(x2701),f87(x2702)) % 1.01/1.13 [271]~E(x2711,x2712)+E(f110(x2711,x2713),f110(x2712,x2713)) % 1.01/1.13 [272]~E(x2721,x2722)+E(f110(x2723,x2721),f110(x2723,x2722)) % 1.01/1.13 [273]~E(x2731,x2732)+E(f181(x2731,x2733),f181(x2732,x2733)) % 1.01/1.13 [274]~E(x2741,x2742)+E(f181(x2743,x2741),f181(x2743,x2742)) % 1.01/1.13 [275]~E(x2751,x2752)+E(f63(x2751),f63(x2752)) % 1.01/1.13 [276]~E(x2761,x2762)+E(f64(x2761),f64(x2762)) % 1.01/1.13 [277]~E(x2771,x2772)+E(f67(x2771,x2773,x2774,x2775),f67(x2772,x2773,x2774,x2775)) % 1.01/1.13 [278]~E(x2781,x2782)+E(f67(x2783,x2781,x2784,x2785),f67(x2783,x2782,x2784,x2785)) % 1.01/1.13 [279]~E(x2791,x2792)+E(f67(x2793,x2794,x2791,x2795),f67(x2793,x2794,x2792,x2795)) % 1.01/1.13 [280]~E(x2801,x2802)+E(f67(x2803,x2804,x2805,x2801),f67(x2803,x2804,x2805,x2802)) % 1.01/1.13 [281]~E(x2811,x2812)+E(f239(x2811,x2813),f239(x2812,x2813)) % 1.01/1.13 [282]~E(x2821,x2822)+E(f239(x2823,x2821),f239(x2823,x2822)) % 1.01/1.13 [283]~E(x2831,x2832)+E(f95(x2831,x2833),f95(x2832,x2833)) % 1.01/1.13 [284]~E(x2841,x2842)+E(f95(x2843,x2841),f95(x2843,x2842)) % 1.01/1.13 [285]~E(x2851,x2852)+E(f246(x2851),f246(x2852)) % 1.01/1.13 [286]~E(x2861,x2862)+E(f222(x2861,x2863),f222(x2862,x2863)) % 1.01/1.13 [287]~E(x2871,x2872)+E(f222(x2873,x2871),f222(x2873,x2872)) % 1.01/1.13 [288]~E(x2881,x2882)+E(f156(x2881,x2883),f156(x2882,x2883)) % 1.01/1.13 [289]~E(x2891,x2892)+E(f156(x2893,x2891),f156(x2893,x2892)) % 1.01/1.13 [290]~E(x2901,x2902)+E(f105(x2901,x2903),f105(x2902,x2903)) % 1.01/1.13 [291]~E(x2911,x2912)+E(f105(x2913,x2911),f105(x2913,x2912)) % 1.01/1.13 [292]~E(x2921,x2922)+E(f82(x2921,x2923),f82(x2922,x2923)) % 1.01/1.13 [293]~E(x2931,x2932)+E(f82(x2933,x2931),f82(x2933,x2932)) % 1.01/1.13 [294]~E(x2941,x2942)+E(f124(x2941,x2943),f124(x2942,x2943)) % 1.01/1.13 [295]~E(x2951,x2952)+E(f124(x2953,x2951),f124(x2953,x2952)) % 1.01/1.13 [296]~E(x2961,x2962)+E(f123(x2961,x2963),f123(x2962,x2963)) % 1.01/1.13 [297]~E(x2971,x2972)+E(f123(x2973,x2971),f123(x2973,x2972)) % 1.01/1.13 [298]~E(x2981,x2982)+E(f231(x2981,x2983),f231(x2982,x2983)) % 1.01/1.13 [299]~E(x2991,x2992)+E(f231(x2993,x2991),f231(x2993,x2992)) % 1.01/1.13 [300]~E(x3001,x3002)+E(f224(x3001,x3003),f224(x3002,x3003)) % 1.01/1.13 [301]~E(x3011,x3012)+E(f224(x3013,x3011),f224(x3013,x3012)) % 1.01/1.13 [302]~E(x3021,x3022)+E(f162(x3021,x3023),f162(x3022,x3023)) % 1.01/1.13 [303]~E(x3031,x3032)+E(f162(x3033,x3031),f162(x3033,x3032)) % 1.01/1.13 [304]~E(x3041,x3042)+E(f223(x3041,x3043),f223(x3042,x3043)) % 1.01/1.13 [305]~E(x3051,x3052)+E(f223(x3053,x3051),f223(x3053,x3052)) % 1.01/1.13 [306]~E(x3061,x3062)+E(f138(x3061,x3063),f138(x3062,x3063)) % 1.01/1.13 [307]~E(x3071,x3072)+E(f138(x3073,x3071),f138(x3073,x3072)) % 1.01/1.13 [308]~E(x3081,x3082)+E(f209(x3081),f209(x3082)) % 1.01/1.13 [309]~E(x3091,x3092)+E(f71(x3091,x3093),f71(x3092,x3093)) % 1.01/1.13 [310]~E(x3101,x3102)+E(f71(x3103,x3101),f71(x3103,x3102)) % 1.01/1.13 [311]~E(x3111,x3112)+E(f232(x3111,x3113),f232(x3112,x3113)) % 1.01/1.13 [312]~E(x3121,x3122)+E(f232(x3123,x3121),f232(x3123,x3122)) % 1.01/1.13 [313]~E(x3131,x3132)+E(f212(x3131),f212(x3132)) % 1.01/1.13 [314]~E(x3141,x3142)+E(f149(x3141,x3143),f149(x3142,x3143)) % 1.01/1.13 [315]~E(x3151,x3152)+E(f149(x3153,x3151),f149(x3153,x3152)) % 1.01/1.13 [316]~E(x3161,x3162)+E(f66(x3161),f66(x3162)) % 1.01/1.13 [317]~E(x3171,x3172)+E(f233(x3171,x3173),f233(x3172,x3173)) % 1.01/1.13 [318]~E(x3181,x3182)+E(f233(x3183,x3181),f233(x3183,x3182)) % 1.01/1.13 [319]~E(x3191,x3192)+E(f77(x3191,x3193),f77(x3192,x3193)) % 1.01/1.13 [320]~E(x3201,x3202)+E(f77(x3203,x3201),f77(x3203,x3202)) % 1.01/1.13 [321]~E(x3211,x3212)+E(f73(x3211,x3213),f73(x3212,x3213)) % 1.01/1.13 [322]~E(x3221,x3222)+E(f73(x3223,x3221),f73(x3223,x3222)) % 1.01/1.13 [323]~E(x3231,x3232)+E(f211(x3231),f211(x3232)) % 1.01/1.13 [324]~E(x3241,x3242)+E(f166(x3241,x3243),f166(x3242,x3243)) % 1.01/1.13 [325]~E(x3251,x3252)+E(f166(x3253,x3251),f166(x3253,x3252)) % 1.01/1.13 [326]~E(x3261,x3262)+E(f75(x3261),f75(x3262)) % 1.01/1.13 [327]~E(x3271,x3272)+E(f104(x3271,x3273),f104(x3272,x3273)) % 1.01/1.13 [328]~E(x3281,x3282)+E(f104(x3283,x3281),f104(x3283,x3282)) % 1.01/1.13 [329]~E(x3291,x3292)+E(f165(x3291,x3293),f165(x3292,x3293)) % 1.01/1.13 [330]~E(x3301,x3302)+E(f165(x3303,x3301),f165(x3303,x3302)) % 1.01/1.13 [331]~E(x3311,x3312)+E(f184(x3311,x3313),f184(x3312,x3313)) % 1.01/1.13 [332]~E(x3321,x3322)+E(f184(x3323,x3321),f184(x3323,x3322)) % 1.01/1.13 [333]~E(x3331,x3332)+E(f168(x3331,x3333),f168(x3332,x3333)) % 1.01/1.13 [334]~E(x3341,x3342)+E(f168(x3343,x3341),f168(x3343,x3342)) % 1.01/1.13 [335]~E(x3351,x3352)+E(f163(x3351,x3353),f163(x3352,x3353)) % 1.01/1.13 [336]~E(x3361,x3362)+E(f163(x3363,x3361),f163(x3363,x3362)) % 1.01/1.13 [337]~E(x3371,x3372)+E(f151(x3371,x3373),f151(x3372,x3373)) % 1.01/1.13 [338]~E(x3381,x3382)+E(f151(x3383,x3381),f151(x3383,x3382)) % 1.01/1.13 [339]~E(x3391,x3392)+E(f79(x3391,x3393),f79(x3392,x3393)) % 1.01/1.13 [340]~E(x3401,x3402)+E(f79(x3403,x3401),f79(x3403,x3402)) % 1.01/1.13 [341]~E(x3411,x3412)+E(f74(x3411,x3413),f74(x3412,x3413)) % 1.01/1.13 [342]~E(x3421,x3422)+E(f74(x3423,x3421),f74(x3423,x3422)) % 1.01/1.13 [343]~E(x3431,x3432)+E(f234(x3431,x3433),f234(x3432,x3433)) % 1.01/1.13 [344]~E(x3441,x3442)+E(f234(x3443,x3441),f234(x3443,x3442)) % 1.01/1.13 [345]~E(x3451,x3452)+E(f85(x3451,x3453,x3454,x3455,x3456,x3457),f85(x3452,x3453,x3454,x3455,x3456,x3457)) % 1.01/1.13 [346]~E(x3461,x3462)+E(f85(x3463,x3461,x3464,x3465,x3466,x3467),f85(x3463,x3462,x3464,x3465,x3466,x3467)) % 1.01/1.13 [347]~E(x3471,x3472)+E(f85(x3473,x3474,x3471,x3475,x3476,x3477),f85(x3473,x3474,x3472,x3475,x3476,x3477)) % 1.01/1.13 [348]~E(x3481,x3482)+E(f85(x3483,x3484,x3485,x3481,x3486,x3487),f85(x3483,x3484,x3485,x3482,x3486,x3487)) % 1.01/1.13 [349]~E(x3491,x3492)+E(f85(x3493,x3494,x3495,x3496,x3491,x3497),f85(x3493,x3494,x3495,x3496,x3492,x3497)) % 1.01/1.13 [350]~E(x3501,x3502)+E(f85(x3503,x3504,x3505,x3506,x3507,x3501),f85(x3503,x3504,x3505,x3506,x3507,x3502)) % 1.01/1.13 [351]~E(x3511,x3512)+E(f153(x3511,x3513),f153(x3512,x3513)) % 1.01/1.13 [352]~E(x3521,x3522)+E(f153(x3523,x3521),f153(x3523,x3522)) % 1.01/1.13 [353]~P1(x3531)+P1(x3532)+~E(x3531,x3532) % 1.01/1.13 [354]~P5(x3541)+P5(x3542)+~E(x3541,x3542) % 1.01/1.13 [355]~P4(x3551)+P4(x3552)+~E(x3551,x3552) % 1.01/1.13 [356]~P2(x3561)+P2(x3562)+~E(x3561,x3562) % 1.01/1.13 [357]~P6(x3571)+P6(x3572)+~E(x3571,x3572) % 1.01/1.13 [358]~P9(x3581)+P9(x3582)+~E(x3581,x3582) % 1.01/1.13 [359]~P8(x3591)+P8(x3592)+~E(x3591,x3592) % 1.01/1.13 [360]~P10(x3601)+P10(x3602)+~E(x3601,x3602) % 1.01/1.13 [361]~P3(x3611)+P3(x3612)+~E(x3611,x3612) % 1.01/1.13 [362]~P7(x3621)+P7(x3622)+~E(x3621,x3622) % 1.01/1.13 % 1.01/1.13 %------------------------------------------- % 1.01/1.13 cnf(843,plain, % 1.01/1.13 ($false), % 1.01/1.13 inference(scs_inference,[],[481,466,802]), % 1.01/1.13 ['proof']). % 1.01/1.13 % SZS output end Proof % 1.01/1.13 % Total time :0.230000s %------------------------------------------------------------------------------