TSTP Solution File: SCT171+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 : Thu Aug 31 14:10:26 EDT 2023
% Result : Theorem 0.81s 0.98s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 14:55:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.81/0.94 %-------------------------------------------
% 0.81/0.94 % File :CSE---1.6
% 0.81/0.94 % Problem :theBenchmark
% 0.81/0.94 % Transform :cnf
% 0.81/0.94 % Format :tptp:raw
% 0.81/0.94 % Command :java -jar mcs_scs.jar %d %s
% 0.81/0.94
% 0.81/0.94 % Result :Theorem 0.060000s
% 0.81/0.94 % Output :CNFRefutation 0.060000s
% 0.81/0.94 %-------------------------------------------
% 0.81/0.94 %------------------------------------------------------------------------------
% 0.81/0.94 % File : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% 0.81/0.94 % Domain : Social Choice Theory
% 0.81/0.94 % Problem : Arrow's Impossibility Theorem line 309, 100 axioms selected
% 0.81/0.94 % Version : Especial.
% 0.81/0.94 % English :
% 0.81/0.94
% 0.81/0.94 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.81/0.94 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 0.81/0.94 % Source : [Bla11]
% 0.81/0.94 % Names : arrow_100_fofmg_l309 [Bla11]
% 0.81/0.94
% 0.81/0.94 % Status : Theorem
% 0.81/0.94 % 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
% 0.81/0.94 % Syntax : Number of formulae : 322 ( 119 unt; 0 def)
% 0.81/0.94 % Number of atoms : 793 ( 145 equ)
% 0.81/0.94 % Maximal formula atoms : 16 ( 2 avg)
% 0.81/0.94 % Number of connectives : 588 ( 117 ~; 9 |; 57 &)
% 0.81/0.94 % ( 50 <=>; 355 =>; 0 <=; 0 <~>)
% 0.81/0.94 % Maximal formula depth : 18 ( 5 avg)
% 0.81/0.94 % Maximal term depth : 9 ( 2 avg)
% 0.81/0.94 % Number of predicates : 11 ( 10 usr; 0 prp; 1-2 aty)
% 0.81/0.94 % Number of functors : 217 ( 217 usr; 62 con; 0-2 aty)
% 0.81/0.94 % Number of variables : 685 ( 684 !; 1 ?)
% 0.81/0.94 % SPC : FOF_THM_RFO_SEQ
% 0.81/0.94
% 0.81/0.94 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 0.81/0.94 % 2011-08-09 15:47:39
% 0.81/0.94 % : Encoded with monomorphized guards.
% 0.81/0.94 %------------------------------------------------------------------------------
% 0.81/0.95 %----Explicit typings (83)
% 0.81/0.95 fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA,axiom,
% 0.81/0.95 is_fun631676118l_bool(arrow_1212118780le_IIA) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin,axiom,
% 0.81/0.95 is_fun432044380l_bool(arrow_1239002508le_Lin) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf,axiom,
% 0.81/0.95 is_fun959573582l_bool(arrow_413697182e_Prof) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity,axiom,
% 0.81/0.95 is_fun631676118l_bool(arrow_467566751nimity) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_fun917378774i_bool(cOMBC_277798809t_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun917378774i_bool(B_2_1)
% 0.81/0.95 => is_bool(inj_on24934938di_nat(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun917378774i_bool(B_1_1)
% 0.81/0.95 => is_fun959573582l_bool(pi_Arr688267935t_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun959573582l_bool(B_1_1)
% 0.81/0.95 => is_fun631676118l_bool(pi_fun433100839t_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun282293932t_bool(B_1_1)
% 0.81/0.95 => is_fun432044380l_bool(pi_Pro2135156861t_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt,axiom,
% 0.81/0.95 is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,axiom,
% 0.81/0.95 is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
% 0.81/0.95 is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun917378774i_bool(B_1_1)
% 0.81/0.95 => is_fun1016509681e_indi(hilber1792103167di_nat(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool,axiom,
% 0.81/0.95 is_bool(top_top_bool) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____,axiom,
% 0.81/0.95 is_fun917378774i_bool(top_to1256827021i_bool) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira,axiom,
% 0.81/0.95 is_fun959573582l_bool(top_to1194196741l_bool) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde,axiom,
% 0.81/0.95 is_fun631676118l_bool(top_to40512653l_bool) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord,axiom,
% 0.81/0.95 is_fun432044380l_bool(top_to2005687013l_bool) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir,axiom,
% 0.81/0.95 is_fun282293932t_bool(top_to2034604131t_bool) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,axiom,
% 0.81/0.95 ! [B_1_1] :
% 0.81/0.95 ( is_fun917378774i_bool(B_1_1)
% 0.81/0.95 => is_fun917378774i_bool(collec45183100e_indi(B_1_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,axiom,
% 0.81/0.95 ! [B_1_1] :
% 0.81/0.95 ( is_fun959573582l_bool(B_1_1)
% 0.81/0.95 => is_fun959573582l_bool(collec1580242420t_bool(B_1_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx,axiom,
% 0.81/0.95 ! [B_1_1] :
% 0.81/0.95 ( is_fun631676118l_bool(B_1_1)
% 0.81/0.95 => is_fun631676118l_bool(collec1520786044t_bool(B_1_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew,axiom,
% 0.81/0.95 ! [B_1_1] :
% 0.81/0.95 ( is_fun432044380l_bool(B_1_1)
% 0.81/0.95 => is_fun432044380l_bool(collec874260222t_bool(B_1_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,axiom,
% 0.81/0.95 ! [B_1_1] :
% 0.81/0.95 ( is_fun282293932t_bool(B_1_1)
% 0.81/0.95 => is_fun282293932t_bool(collec1711870802le_alt(B_1_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_fFalse,axiom,
% 0.81/0.95 is_bool(fFalse) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_fTrue,axiom,
% 0.81/0.95 is_bool(fTrue) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_Arr553848933le_alt(B_2_1)
% 0.81/0.95 => is_fun282293932t_bool(hAPP_A619995676t_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( ( is_fun917378774i_bool(B_1_1)
% 0.81/0.95 & is_Arr625519182e_indi(B_2_1) )
% 0.81/0.95 => is_bool(hAPP_A1466488369i_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_Arr625519182e_indi(B_2_1)
% 0.81/0.95 => is_fun959573582l_bool(hAPP_A1912483895l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_Arr625519182e_indi(B_2_1)
% 0.81/0.95 => is_fun631676118l_bool(hAPP_A1964572607l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_Arr625519182e_indi(B_2_1)
% 0.81/0.95 => is_fun432044380l_bool(hAPP_A1944296755l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_Arr625519182e_indi(B_2_1)
% 0.81/0.95 => is_fun282293932t_bool(hAPP_A1374816149t_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_bool(B_2_1)
% 0.81/0.95 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_bool(B_2_1)
% 0.81/0.95 => is_fun917378774i_bool(hAPP_b1018211123i_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_bool(B_2_1)
% 0.81/0.95 => is_fun959573582l_bool(hAPP_b1719629739l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_bool(B_2_1)
% 0.81/0.95 => is_fun631676118l_bool(hAPP_b990649139l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_bool(B_2_1)
% 0.81/0.95 => is_fun432044380l_bool(hAPP_b1965422783l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_bool(B_2_1)
% 0.81/0.95 => is_fun282293932t_bool(hAPP_b1024867081t_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun1016509681e_indi(B_1_1)
% 0.81/0.95 => is_Arr625519182e_indi(hAPP_n385347014e_indi(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun917378774i_bool(B_2_1)
% 0.81/0.95 => is_bool(hAPP_f919661787l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun959573582l_bool(B_1_1)
% 0.81/0.95 => is_bool(hAPP_f1636546729l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_f749892423i_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_fun432044380l_bool(hAPP_f861484971l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008,hypothesis,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_fun282293932t_bool(hAPP_f695124765t_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f387058535l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f204273237l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f1012384989l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun959573582l_bool(B_2_1)
% 0.81/0.95 => is_bool(hAPP_f453661011l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_f618619045e_indi(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun631676118l_bool(B_1_1)
% 0.81/0.95 => is_bool(hAPP_f785543729l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_f355113919i_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f483434675l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f1018082273l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f1271180905l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f1550037191l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f1895985727l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f234874197l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f500145249l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] :
% 0.81/0.95 ( is_fun631676118l_bool(B_2_1)
% 0.81/0.95 => is_bool(hAPP_f213304539l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f1766869725l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017,axiom,
% 0.81/0.95 ! [B_1_1,B_2_1] : is_bool(hAPP_f1279200745l_bool(B_1_1,B_2_1)) ).
% 0.81/0.95
% 0.81/0.95 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] : is_bool(hAPP_f592909149l_bool(B_1_1,B_2_1)) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] : is_bool(hAPP_f526292585l_bool(B_1_1,B_2_1)) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] : is_bool(hAPP_f460310451l_bool(B_1_1,B_2_1)) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] :
% 0.81/0.96 ( is_fun432044380l_bool(B_2_1)
% 0.81/0.96 => is_bool(hAPP_f503012287l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] :
% 0.81/0.96 ( is_fun282293932t_bool(B_2_1)
% 0.81/0.96 => is_Arr625519182e_indi(hAPP_f1659504677e_indi(B_1_1,B_2_1)) ) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020,hypothesis,
% 0.81/0.96 ! [B_1_1,B_2_1] :
% 0.81/0.96 ( ( is_fun432044380l_bool(B_1_1)
% 0.81/0.96 & is_fun282293932t_bool(B_2_1) )
% 0.81/0.96 => is_bool(hAPP_f745298353l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] :
% 0.81/0.96 ( is_fun282293932t_bool(B_2_1)
% 0.81/0.96 => is_fun917378774i_bool(hAPP_f352490559i_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] :
% 0.81/0.96 ( is_fun282293932t_bool(B_2_1)
% 0.81/0.96 => is_fun432044380l_bool(hAPP_f2056167603l_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] :
% 0.81/0.96 ( is_fun282293932t_bool(B_2_1)
% 0.81/0.96 => is_fun282293932t_bool(hAPP_f1673487381t_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(B_1_1,B_2_1)) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] :
% 0.81/0.96 ( is_fun282293932t_bool(B_1_1)
% 0.81/0.96 => is_bool(hAPP_P2075002375t_bool(B_1_1,B_2_1)) ) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025,axiom,
% 0.81/0.96 ! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_P907763049i_bool(B_1_1,B_2_1)) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt,hypothesis,
% 0.81/0.96 ! [B_1_1] : is_fun432044380l_bool(member1056080916le_alt(B_1_1)) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_v_Lab____,axiom,
% 0.81/0.96 is_fun282293932t_bool(lab) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_v_Lba____,axiom,
% 0.81/0.96 is_fun282293932t_bool(lba) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_v_a____,axiom,
% 0.81/0.96 is_Arr553848933le_alt(a) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_v_b____,axiom,
% 0.81/0.96 is_Arr553848933le_alt(b) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_v_c____,hypothesis,
% 0.81/0.96 is_Arr553848933le_alt(c) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_v_d____,hypothesis,
% 0.81/0.96 is_Arr553848933le_alt(d) ).
% 0.81/0.96
% 0.81/0.96 fof(gsy_v_e____,axiom,
% 0.81/0.96 is_Arr553848933le_alt(e) ).
% 0.81/0.96
% 0.81/0.96 %----Relevant facts (198)
% 0.81/0.96 fof(fact_0_assms_I3_J,axiom,
% 0.81/0.96 hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_1_u,axiom,
% 0.81/0.96 hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_2__096c_A_126_061_Ad_096,axiom,
% 0.81/0.96 c != d ).
% 0.81/0.96
% 0.81/0.96 fof(fact_3__096P_A_058_AProf_096,axiom,
% 0.81/0.96 hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_4_in__mkbot,axiom,
% 0.81/0.96 ! [X_2,Y_1,L,Z_1] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(X_2)
% 0.81/0.96 & is_Arr553848933le_alt(Y_1)
% 0.81/0.96 & is_Arr553848933le_alt(Z_1) )
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),Z_1)))
% 0.81/0.96 <=> ( Y_1 != Z_1
% 0.81/0.96 & ( X_2 = Z_1
% 0.81/0.96 => X_2 != Y_1 )
% 0.81/0.96 & ( X_2 != Z_1
% 0.81/0.96 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_5_in__mktop,axiom,
% 0.81/0.96 ! [X_2,Y_1,L,Z_1] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(X_2)
% 0.81/0.96 & is_Arr553848933le_alt(Y_1)
% 0.81/0.96 & is_Arr553848933le_alt(Z_1) )
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),Z_1)))
% 0.81/0.96 <=> ( X_2 != Z_1
% 0.81/0.96 & ( Y_1 = Z_1
% 0.81/0.96 => X_2 != Y_1 )
% 0.81/0.96 & ( Y_1 != Z_1
% 0.81/0.96 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_6__C2_C,axiom,
% 0.81/0.96 ! [P_1,Pa,A_8,B_8,Aa,Ba] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(A_8)
% 0.81/0.96 & is_Arr553848933le_alt(B_8)
% 0.81/0.96 & is_Arr553848933le_alt(Aa)
% 0.81/0.96 & is_Arr553848933le_alt(Ba) )
% 0.81/0.96 => ( Aa != Ba
% 0.81/0.96 => ( A_8 != B_8
% 0.81/0.96 => ( Aa != B_8
% 0.81/0.96 => ( Ba != A_8
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
% 0.81/0.96 => ( ! [I] :
% 0.81/0.96 ( is_Arr625519182e_indi(I)
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) )
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_7__C1_C,axiom,
% 0.81/0.96 ! [P_1,Pa,A_8,B_8,Aa,Ba] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(A_8)
% 0.81/0.96 & is_Arr553848933le_alt(B_8)
% 0.81/0.96 & is_Arr553848933le_alt(Aa)
% 0.81/0.96 & is_Arr553848933le_alt(Ba) )
% 0.81/0.96 => ( Aa != Ba
% 0.81/0.96 => ( A_8 != B_8
% 0.81/0.96 => ( Aa != B_8
% 0.81/0.96 => ( Ba != A_8
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
% 0.81/0.96 => ( ! [I] :
% 0.81/0.96 ( is_Arr625519182e_indi(I)
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) )
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
% 0.81/0.96 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_8__C4_C,axiom,
% 0.81/0.96 ! [P_1,Pa,Ca,Aa,Ba] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(Ca)
% 0.81/0.96 & is_Arr553848933le_alt(Aa)
% 0.81/0.96 & is_Arr553848933le_alt(Ba) )
% 0.81/0.96 => ( Aa != Ba
% 0.81/0.96 => ( Ba != Ca
% 0.81/0.96 => ( Aa != Ca
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
% 0.81/0.96 => ( ! [I] :
% 0.81/0.96 ( is_Arr625519182e_indi(I)
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_A1374816149t_bool(P_1,I))) ) )
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_9_pairwise__neutrality,axiom,
% 0.81/0.96 ! [P_1,Pa,A_8,B_8,Aa,Ba] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(A_8)
% 0.81/0.96 & is_Arr553848933le_alt(B_8)
% 0.81/0.96 & is_Arr553848933le_alt(Aa)
% 0.81/0.96 & is_Arr553848933le_alt(Ba) )
% 0.81/0.96 => ( Aa != Ba
% 0.81/0.96 => ( A_8 != B_8
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
% 0.81/0.96 => ( ! [I] :
% 0.81/0.96 ( is_Arr625519182e_indi(I)
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) )
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_10__C3_C,axiom,
% 0.81/0.96 ! [P_1,Pa,Aa,Ba] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(Aa)
% 0.81/0.96 & is_Arr553848933le_alt(Ba) )
% 0.81/0.96 => ( Aa != Ba
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
% 0.81/0.96 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
% 0.81/0.96 => ( ! [I] :
% 0.81/0.96 ( is_Arr625519182e_indi(I)
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_A1374816149t_bool(P_1,I))) ) )
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J,axiom,
% 0.81/0.96 ! [I] :
% 0.81/0.96 ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,I)))
% 0.81/0.96 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
% 0.81/0.96 => 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))) )
% 0.81/0.96 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
% 0.81/0.96 => ( ( hAPP_A588601142di_nat(h,I) = n
% 0.81/0.96 => 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))) )
% 0.81/0.96 & ( hAPP_A588601142di_nat(h,I) != n
% 0.81/0.96 => 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))) ) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0,axiom,
% 0.81/0.96 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,h),n)))) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
% 0.81/0.96 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)))))) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_14_PW,axiom,
% 0.81/0.96 ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
% 0.81/0.96 <=> 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)))))) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_15_split__paired__All,axiom,
% 0.81/0.96 ! [Pa] :
% 0.81/0.96 ( ! [X1] : hBOOL(hAPP_P2075002375t_bool(Pa,X1))
% 0.81/0.96 <=> ! [A_1,B_1] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(A_1)
% 0.81/0.96 & is_Arr553848933le_alt(B_1) )
% 0.81/0.96 => hBOOL(hAPP_P2075002375t_bool(Pa,produc171383831le_alt(A_1,B_1))) ) ) ).
% 0.81/0.96
% 0.81/0.96 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,
% 0.81/0.96 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)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
% 0.81/0.96 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)))))) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
% 0.81/0.96 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)))))) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_19_n_I1_J,axiom,
% 0.81/0.96 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_20_injh,axiom,
% 0.81/0.96 hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_21_Pair__inject,axiom,
% 0.81/0.96 ! [A_10,B_10,A_9,B_9] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(A_10)
% 0.81/0.96 & is_Arr553848933le_alt(B_10)
% 0.81/0.96 & is_Arr553848933le_alt(A_9)
% 0.81/0.96 & is_Arr553848933le_alt(B_9) )
% 0.81/0.96 => ( produc171383831le_alt(A_10,B_10) = produc171383831le_alt(A_9,B_9)
% 0.81/0.96 => ~ ( A_10 = A_9
% 0.81/0.96 => B_10 != B_9 ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_22_Pair__eq,axiom,
% 0.81/0.96 ! [Aa,Ba,A_8,B_8] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(Aa)
% 0.81/0.96 & is_Arr553848933le_alt(Ba)
% 0.81/0.96 & is_Arr553848933le_alt(A_8)
% 0.81/0.96 & is_Arr553848933le_alt(B_8) )
% 0.81/0.96 => ( produc171383831le_alt(Aa,Ba) = produc171383831le_alt(A_8,B_8)
% 0.81/0.96 <=> ( Aa = A_8
% 0.81/0.96 & Ba = B_8 ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_23_IIA__def,axiom,
% 0.81/0.96 ! [Fa] :
% 0.81/0.96 ( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,Fa))
% 0.81/0.96 <=> ! [X_1] :
% 0.81/0.96 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof))
% 0.81/0.96 => ! [Xa] :
% 0.81/0.96 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Xa),arrow_413697182e_Prof))
% 0.81/0.96 => ! [A_1,B_1] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(A_1)
% 0.81/0.96 & is_Arr553848933le_alt(B_1) )
% 0.81/0.96 => ( ! [I] :
% 0.81/0.96 ( is_Arr625519182e_indi(I)
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(Xa,I))) ) )
% 0.81/0.96 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1)))
% 0.81/0.96 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,Xa))) ) ) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_24_unanimity__def,axiom,
% 0.81/0.96 ! [Fa] :
% 0.81/0.96 ( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,Fa))
% 0.81/0.96 <=> ! [X_1] :
% 0.81/0.96 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof))
% 0.81/0.96 => ! [A_1,B_1] :
% 0.81/0.96 ( ( is_Arr553848933le_alt(A_1)
% 0.81/0.96 & is_Arr553848933le_alt(B_1) )
% 0.81/0.96 => ( ! [I] :
% 0.81/0.96 ( is_Arr625519182e_indi(I)
% 0.81/0.96 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I))) )
% 0.81/0.96 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) ) ) ) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_25_top1I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_26_top1I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_27_top1I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_28_top1I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_29_top1I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_30_UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f387058535l_bool(member_bool(X_2),top_to1647826457l_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_31_UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),top_to1256827021i_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_32_UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),top_to2034604131t_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_33_UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),top_to1194196741l_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_34_UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),top_to40512653l_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_35_UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),top_to2005687013l_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_36_iso__tuple__UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f387058535l_bool(member_bool(X_2),top_to1647826457l_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_37_iso__tuple__UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),top_to1256827021i_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_38_iso__tuple__UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),top_to2034604131t_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_39_iso__tuple__UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),top_to1194196741l_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_40_iso__tuple__UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),top_to40512653l_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_41_iso__tuple__UNIV__I,axiom,
% 0.81/0.96 ! [X_2] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),top_to2005687013l_bool)) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_42_top__apply,axiom,
% 0.81/0.96 ! [X_2] :
% 0.81/0.96 ( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2))
% 0.81/0.96 <=> hBOOL(top_top_bool) ) ).
% 0.81/0.96
% 0.81/0.96 fof(fact_43_top__apply,axiom,
% 0.81/0.97 ! [X_2] :
% 0.81/0.97 ( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2))
% 0.81/0.97 <=> hBOOL(top_top_bool) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_44_top__apply,axiom,
% 0.81/0.97 ! [X_2] :
% 0.81/0.97 ( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2))
% 0.81/0.97 <=> hBOOL(top_top_bool) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_45_top__apply,axiom,
% 0.81/0.97 ! [X_2] :
% 0.81/0.97 ( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2))
% 0.81/0.97 <=> hBOOL(top_top_bool) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_46_top__apply,axiom,
% 0.81/0.97 ! [X_2] :
% 0.81/0.97 ( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2))
% 0.81/0.97 <=> hBOOL(top_top_bool) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_47_not__top__less,axiom,
% 0.81/0.97 ! [Aa] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),Aa)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_48_not__top__less,axiom,
% 0.81/0.97 ! [Aa] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),Aa)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_49_not__top__less,axiom,
% 0.81/0.97 ! [Aa] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),Aa)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_50_not__top__less,axiom,
% 0.81/0.97 ! [Aa] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),Aa)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_51_not__top__less,axiom,
% 0.81/0.97 ! [Aa] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),Aa)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_52_not__top__less,axiom,
% 0.81/0.97 ! [Aa] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),Aa)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_53_linorder__cases,axiom,
% 0.81/0.97 ! [X_14,Y_13] :
% 0.81/0.97 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_14),Y_13))
% 0.81/0.97 => ( X_14 != Y_13
% 0.81/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_14)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_54_order__less__asym,axiom,
% 0.81/0.97 ! [X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_55_order__less__asym,axiom,
% 0.81/0.97 ! [X_13,Y_12] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_12))
% 0.81/0.97 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_13)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_56_xt1_I10_J,axiom,
% 0.81/0.97 ! [Z_1,Y_1,X_2] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Z_1),Y_1))
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Z_1),X_2)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_57_xt1_I10_J,axiom,
% 0.81/0.97 ! [Z_2,Y_11,X_12] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_11),X_12))
% 0.81/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),Y_11))
% 0.81/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_12)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_58_order__less__trans,axiom,
% 0.81/0.97 ! [Z_1,X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),Z_1))
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Z_1)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_59_order__less__trans,axiom,
% 0.81/0.97 ! [Z,X_11,Y_10] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_10))
% 0.81/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_10),Z))
% 0.81/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Z)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_60_xt1_I2_J,axiom,
% 0.81/0.97 ! [Ca,Ba,Aa] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa))
% 0.81/0.97 => ( Ba = Ca
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Aa)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_61_xt1_I2_J,axiom,
% 0.81/0.97 ! [C_3,B_7,A_7] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_7),A_7))
% 0.81/0.97 => ( B_7 = C_3
% 0.81/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_3),A_7)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_62_ord__less__eq__trans,axiom,
% 0.81/0.97 ! [Ca,Aa,Ba] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba))
% 0.81/0.97 => ( Ba = Ca
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ca)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_63_ord__less__eq__trans,axiom,
% 0.81/0.97 ! [C_2,A_6,B_6] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),B_6))
% 0.81/0.97 => ( B_6 = C_2
% 0.81/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),C_2)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_64_xt1_I1_J,axiom,
% 0.81/0.97 ! [Ca,Aa,Ba] :
% 0.81/0.97 ( Aa = Ba
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Ba))
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Aa)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_65_xt1_I1_J,axiom,
% 0.81/0.97 ! [C_1,A_5,B_5] :
% 0.81/0.97 ( A_5 = B_5
% 0.81/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_1),B_5))
% 0.81/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_1),A_5)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_66_ord__eq__less__trans,axiom,
% 0.81/0.97 ! [Ca,Aa,Ba] :
% 0.81/0.97 ( Aa = Ba
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Ca))
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ca)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_67_ord__eq__less__trans,axiom,
% 0.81/0.97 ! [C,A_4,B_4] :
% 0.81/0.97 ( A_4 = B_4
% 0.81/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_4),C))
% 0.81/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_4),C)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_68_xt1_I9_J,axiom,
% 0.81/0.97 ! [Ba,Aa] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_69_xt1_I9_J,axiom,
% 0.81/0.97 ! [B_3,A_3] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_3),A_3))
% 0.81/0.97 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_3),B_3)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_70_order__less__asym_H,axiom,
% 0.81/0.97 ! [Aa,Ba] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_71_order__less__asym_H,axiom,
% 0.81/0.97 ! [A_2,B_2] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_2))
% 0.81/0.97 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_2),A_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_72_order__less__imp__triv,axiom,
% 0.81/0.97 ! [Pa,X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2))
% 0.81/0.97 => hBOOL(Pa) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_73_order__less__imp__triv,axiom,
% 0.81/0.97 ! [Pa,X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
% 0.81/0.97 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
% 0.81/0.97 => hBOOL(Pa) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_74_order__less__imp__not__eq2,axiom,
% 0.81/0.97 ! [X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
% 0.81/0.97 => Y_1 != X_2 ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_75_order__less__imp__not__eq2,axiom,
% 0.81/0.97 ! [X_10,Y_9] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_9))
% 0.81/0.97 => Y_9 != X_10 ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_76_order__less__imp__not__eq,axiom,
% 0.81/0.97 ! [X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
% 0.81/0.97 => X_2 != Y_1 ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_77_order__less__imp__not__eq,axiom,
% 0.81/0.97 ! [X_9,Y_8] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_8))
% 0.81/0.97 => X_9 != Y_8 ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_78_order__less__imp__not__less,axiom,
% 0.81/0.97 ! [X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_79_order__less__imp__not__less,axiom,
% 0.81/0.97 ! [X_8,Y_7] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),Y_7))
% 0.81/0.97 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_7),X_8)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_80_order__less__not__sym,axiom,
% 0.81/0.97 ! [X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_81_order__less__not__sym,axiom,
% 0.81/0.97 ! [X_7,Y_6] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_7),Y_6))
% 0.81/0.97 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_6),X_7)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_82_less__imp__neq,axiom,
% 0.81/0.97 ! [X_2,Y_1] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
% 0.81/0.97 => X_2 != Y_1 ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_83_less__imp__neq,axiom,
% 0.81/0.97 ! [X_6,Y_5] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_6),Y_5))
% 0.81/0.97 => X_6 != Y_5 ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_84_linorder__neqE,axiom,
% 0.81/0.97 ! [X_5,Y_4] :
% 0.81/0.97 ( X_5 != Y_4
% 0.81/0.97 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_5),Y_4))
% 0.81/0.97 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_4),X_5)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_85_linorder__antisym__conv3,axiom,
% 0.81/0.97 ! [Y_1,X_2] :
% 0.81/0.97 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
% 0.81/0.97 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
% 0.81/0.97 <=> X_2 = Y_1 ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_86_linorder__less__linear,axiom,
% 0.81/0.97 ! [X_4,Y_3] :
% 0.81/0.97 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_4),Y_3))
% 0.81/0.97 | X_4 = Y_3
% 0.81/0.97 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_4)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_87_not__less__iff__gr__or__eq,axiom,
% 0.81/0.97 ! [X_2,Y_1] :
% 0.81/0.97 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
% 0.81/0.97 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
% 0.81/0.97 | X_2 = Y_1 ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_88_linorder__neq__iff,axiom,
% 0.81/0.97 ! [X_2,Y_1] :
% 0.81/0.97 ( X_2 != Y_1
% 0.81/0.97 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
% 0.81/0.97 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_89_order__less__irrefl,axiom,
% 0.81/0.97 ! [X_2] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),X_2)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_90_order__less__irrefl,axiom,
% 0.81/0.97 ! [X_3] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_3),X_3)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_91_UNIV__def,axiom,
% 0.81/0.97 top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_92_UNIV__def,axiom,
% 0.81/0.97 top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_93_UNIV__def,axiom,
% 0.81/0.97 top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_94_UNIV__def,axiom,
% 0.81/0.97 top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_95_UNIV__def,axiom,
% 0.81/0.97 top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_96_pred__equals__eq2,axiom,
% 0.81/0.97 ! [S,R_1] :
% 0.81/0.97 ( ( is_fun282293932t_bool(S)
% 0.81/0.97 & is_fun282293932t_bool(R_1) )
% 0.81/0.97 => ( ! [X_1,Xa] :
% 0.81/0.97 ( ( is_Arr553848933le_alt(X_1)
% 0.81/0.97 & is_Arr553848933le_alt(Xa) )
% 0.81/0.97 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),R_1))
% 0.81/0.97 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),S)) ) )
% 0.81/0.97 <=> R_1 = S ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_97_less__top,axiom,
% 0.81/0.97 ! [Aa] :
% 0.81/0.97 ( is_fun432044380l_bool(Aa)
% 0.81/0.97 => ( Aa != top_to2005687013l_bool
% 0.81/0.97 <=> hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,Aa),top_to2005687013l_bool)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_98_less__top,axiom,
% 0.81/0.97 ! [Aa] :
% 0.81/0.97 ( is_fun959573582l_bool(Aa)
% 0.81/0.97 => ( Aa != top_to1194196741l_bool
% 0.81/0.97 <=> hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,Aa),top_to1194196741l_bool)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_99_less__top,axiom,
% 0.81/0.97 ! [Aa] :
% 0.81/0.97 ( is_fun631676118l_bool(Aa)
% 0.81/0.97 => ( Aa != top_to40512653l_bool
% 0.81/0.97 <=> hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,Aa),top_to40512653l_bool)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_100_less__top,axiom,
% 0.81/0.97 ! [Aa] :
% 0.81/0.97 ( ~ ( hBOOL(Aa)
% 0.81/0.97 <=> hBOOL(top_top_bool) )
% 0.81/0.97 <=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Aa),top_top_bool)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_101_less__top,axiom,
% 0.81/0.97 ! [Aa] :
% 0.81/0.97 ( is_fun282293932t_bool(Aa)
% 0.81/0.97 => ( Aa != top_to2034604131t_bool
% 0.81/0.97 <=> hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,Aa),top_to2034604131t_bool)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_102_less__top,axiom,
% 0.81/0.97 ! [Aa] :
% 0.81/0.97 ( is_fun917378774i_bool(Aa)
% 0.81/0.97 => ( Aa != top_to1256827021i_bool
% 0.81/0.97 <=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),top_to1256827021i_bool)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_103_inv__f__eq,axiom,
% 0.81/0.97 ! [X_2,Y_1,F] :
% 0.81/0.97 ( is_Arr625519182e_indi(X_2)
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
% 0.81/0.97 => ( hAPP_A588601142di_nat(F,X_2) = Y_1
% 0.81/0.97 => hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,F),Y_1) = X_2 ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_104_inv__f__f,axiom,
% 0.81/0.97 ! [X_2,F] :
% 0.81/0.97 ( is_Arr625519182e_indi(X_2)
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
% 0.81/0.97 => hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,F),hAPP_A588601142di_nat(F,X_2)) = X_2 ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_105_inv__into__f__f,axiom,
% 0.81/0.97 ! [X_2,F,A] :
% 0.81/0.97 ( is_Arr625519182e_indi(X_2)
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,A))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.97 => hAPP_n385347014e_indi(hilber1792103167di_nat(A,F),hAPP_A588601142di_nat(F,X_2)) = X_2 ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_106_inv__into__f__eq,axiom,
% 0.81/0.97 ! [Y_1,X_2,F,A] :
% 0.81/0.97 ( is_Arr625519182e_indi(X_2)
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,A))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.97 => ( hAPP_A588601142di_nat(F,X_2) = Y_1
% 0.81/0.97 => hAPP_n385347014e_indi(hilber1792103167di_nat(A,F),Y_1) = X_2 ) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_107_inj__eq,axiom,
% 0.81/0.97 ! [X_2,Y_1,F] :
% 0.81/0.97 ( ( is_Arr625519182e_indi(X_2)
% 0.81/0.97 & is_Arr625519182e_indi(Y_1) )
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
% 0.81/0.97 => ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
% 0.81/0.97 <=> X_2 = Y_1 ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_108_inj__on__def,axiom,
% 0.81/0.97 ! [F,A] :
% 0.81/0.97 ( hBOOL(inj_on24934938di_nat(F,A))
% 0.81/0.97 <=> ! [X_1] :
% 0.81/0.97 ( is_Arr625519182e_indi(X_1)
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_1),A))
% 0.81/0.97 => ! [Xa] :
% 0.81/0.97 ( is_Arr625519182e_indi(Xa)
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Xa),A))
% 0.81/0.97 => ( hAPP_A588601142di_nat(F,X_1) = hAPP_A588601142di_nat(F,Xa)
% 0.81/0.97 => X_1 = Xa ) ) ) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_109_inj__on__contraD,axiom,
% 0.81/0.97 ! [X_2,Y_1,F,A] :
% 0.81/0.97 ( ( is_Arr625519182e_indi(X_2)
% 0.81/0.97 & is_Arr625519182e_indi(Y_1) )
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,A))
% 0.81/0.97 => ( X_2 != Y_1
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
% 0.81/0.97 => hAPP_A588601142di_nat(F,X_2) != hAPP_A588601142di_nat(F,Y_1) ) ) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_110_inj__on__iff,axiom,
% 0.81/0.97 ! [Y_1,X_2,F,A] :
% 0.81/0.97 ( ( is_Arr625519182e_indi(Y_1)
% 0.81/0.97 & is_Arr625519182e_indi(X_2) )
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,A))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
% 0.81/0.97 => ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
% 0.81/0.97 <=> X_2 = Y_1 ) ) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_111_inj__onD,axiom,
% 0.81/0.97 ! [X_2,Y_1,F,A] :
% 0.81/0.97 ( ( is_Arr625519182e_indi(X_2)
% 0.81/0.97 & is_Arr625519182e_indi(Y_1) )
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,A))
% 0.81/0.97 => ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
% 0.81/0.97 => X_2 = Y_1 ) ) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_112_injD,axiom,
% 0.81/0.97 ! [X_2,Y_1,F] :
% 0.81/0.97 ( ( is_Arr625519182e_indi(X_2)
% 0.81/0.97 & is_Arr625519182e_indi(Y_1) )
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
% 0.81/0.97 => ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
% 0.81/0.97 => X_2 = Y_1 ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_113_inj__imp__inv__eq,axiom,
% 0.81/0.97 ! [G,F] :
% 0.81/0.97 ( is_fun1016509681e_indi(G)
% 0.81/0.97 => ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
% 0.81/0.97 => ( ! [X_1] : hAPP_A588601142di_nat(F,hAPP_n385347014e_indi(G,X_1)) = X_1
% 0.81/0.97 => hilber1792103167di_nat(top_to1256827021i_bool,F) = G ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_114_injI,axiom,
% 0.81/0.97 ! [F] :
% 0.81/0.97 ( ! [X_1,Y_2] :
% 0.81/0.97 ( ( is_Arr625519182e_indi(X_1)
% 0.81/0.97 & is_Arr625519182e_indi(Y_2) )
% 0.81/0.97 => ( hAPP_A588601142di_nat(F,X_1) = hAPP_A588601142di_nat(F,Y_2)
% 0.81/0.97 => X_1 = Y_2 ) )
% 0.81/0.97 => hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_115_assms_I1_J,axiom,
% 0.81/0.97 hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_116__096Lba_A_058_ALin_096,axiom,
% 0.81/0.97 hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_117__096Lab_A_058_ALin_096,axiom,
% 0.81/0.97 hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_118_Lin__irrefl,axiom,
% 0.81/0.97 ! [Aa,Ba,L] :
% 0.81/0.97 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
% 0.81/0.97 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),L))
% 0.81/0.97 => ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),L)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_119_notin__Lin__iff,axiom,
% 0.81/0.97 ! [X_2,Y_1,L] :
% 0.81/0.97 ( ( is_Arr553848933le_alt(X_2)
% 0.81/0.97 & is_Arr553848933le_alt(Y_1) )
% 0.81/0.97 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
% 0.81/0.97 => ( X_2 != Y_1
% 0.81/0.97 => ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
% 0.81/0.97 <=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Y_1,X_2)),L)) ) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_120_mem__def,axiom,
% 0.81/0.97 ! [X_2,A] :
% 0.81/0.97 ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.97 <=> hBOOL(hAPP_A1466488369i_bool(A,X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_121_mem__def,axiom,
% 0.81/0.97 ! [X_2,A] :
% 0.81/0.97 ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.97 <=> hBOOL(hAPP_bool_bool(A,X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_122_mem__def,axiom,
% 0.81/0.97 ! [X_2,A] :
% 0.81/0.97 ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
% 0.81/0.97 <=> hBOOL(hAPP_P2075002375t_bool(A,X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_123_mem__def,axiom,
% 0.81/0.97 ! [X_2,A] :
% 0.81/0.97 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
% 0.81/0.97 <=> hBOOL(hAPP_f1636546729l_bool(A,X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_124_mem__def,axiom,
% 0.81/0.97 ! [X_2,A] :
% 0.81/0.97 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
% 0.81/0.97 <=> hBOOL(hAPP_f785543729l_bool(A,X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_125_mem__def,axiom,
% 0.81/0.97 ! [X_2,A] :
% 0.81/0.97 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
% 0.81/0.97 <=> hBOOL(hAPP_f745298353l_bool(A,X_2)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_126_Collect__def,axiom,
% 0.81/0.97 ! [Pa] :
% 0.81/0.97 ( is_fun917378774i_bool(Pa)
% 0.81/0.97 => collec45183100e_indi(Pa) = Pa ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_127_mktop__Lin,axiom,
% 0.81/0.97 ! [X_2,L] :
% 0.81/0.97 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
% 0.81/0.97 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),X_2)),arrow_1239002508le_Lin)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_128_mkbot__Lin,axiom,
% 0.81/0.97 ! [X_2,L] :
% 0.81/0.97 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
% 0.81/0.97 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),X_2)),arrow_1239002508le_Lin)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_129_above__Lin,axiom,
% 0.81/0.97 ! [L,X_2,Y_1] :
% 0.81/0.97 ( ( is_Arr553848933le_alt(X_2)
% 0.81/0.97 & is_Arr553848933le_alt(Y_1) )
% 0.81/0.97 => ( X_2 != Y_1
% 0.81/0.97 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
% 0.81/0.97 => 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)) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_130_const__Lin__Prof,axiom,
% 0.81/0.97 ! [L] :
% 0.81/0.97 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
% 0.81/0.97 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,L)),arrow_413697182e_Prof)) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_131_in__above,axiom,
% 0.81/0.97 ! [X_2,Y_1,L,Aa,Ba] :
% 0.81/0.97 ( ( is_Arr553848933le_alt(X_2)
% 0.81/0.97 & is_Arr553848933le_alt(Y_1)
% 0.81/0.97 & is_Arr553848933le_alt(Aa)
% 0.81/0.97 & is_Arr553848933le_alt(Ba) )
% 0.81/0.97 => ( Aa != Ba
% 0.81/0.97 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
% 0.81/0.97 => ( 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)))
% 0.81/0.97 <=> ( X_2 != Y_1
% 0.81/0.97 & ( X_2 = Ba
% 0.81/0.97 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Y_1)),L)) )
% 0.81/0.97 & ( X_2 != Ba
% 0.81/0.97 => ( ( Y_1 = Ba
% 0.81/0.97 => ( X_2 = Aa
% 0.81/0.97 | hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Aa)),L)) ) )
% 0.81/0.97 & ( Y_1 != Ba
% 0.81/0.97 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) ) ) ) ) ) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_132_dictatorI,axiom,
% 0.81/0.97 ! [I_1,Fa] :
% 0.81/0.97 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(Fa),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
% 0.81/0.97 => ( ! [X_1] :
% 0.81/0.97 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof))
% 0.81/0.97 => ! [A_1,B_1] :
% 0.81/0.97 ( ( is_Arr553848933le_alt(A_1)
% 0.81/0.97 & is_Arr553848933le_alt(B_1) )
% 0.81/0.97 => ( A_1 != B_1
% 0.81/0.97 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I_1)))
% 0.81/0.97 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) ) ) ) )
% 0.81/0.97 => hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_133_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),hAPP_P2127852789l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_134_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),hAPP_A1374816149t_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_135_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),hAPP_b1024867081t_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_136_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),hAPP_A1912483895l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_137_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),hAPP_b1719629739l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_138_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),hAPP_A1964572607l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_139_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),hAPP_b990649139l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_140_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),hAPP_b1965422783l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_141_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),hAPP_P907763049i_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_142_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),hAPP_f749892423i_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_143_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),hAPP_f313042899l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_144_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),hAPP_f355113919i_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_145_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),hAPP_f497468491l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_146_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),hAPP_f352490559i_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_147_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),hAPP_f417299659l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_148_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),hAPP_f861484971l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_149_PiE,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,B)))
% 0.81/0.97 => ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),hAPP_A1944296755l_bool(B,X_2)))
% 0.81/0.97 => ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_150_complete__Lin,axiom,
% 0.81/0.97 ! [Aa,Ba] :
% 0.81/0.97 ( ( is_Arr553848933le_alt(Aa)
% 0.81/0.97 & is_Arr553848933le_alt(Ba) )
% 0.81/0.97 => ( Aa != Ba
% 0.81/0.97 => ? [X_1] :
% 0.81/0.97 ( is_fun282293932t_bool(X_1)
% 0.81/0.97 & hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_1),arrow_1239002508le_Lin))
% 0.81/0.97 & hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),X_1)) ) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_151_PiProf,axiom,
% 0.81/0.97 ! [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)) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_152_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),hAPP_P2127852789l_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_153_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),hAPP_P907763049i_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_154_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),hAPP_f749892423i_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_155_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),hAPP_f313042899l_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_156_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),hAPP_f355113919i_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_157_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),hAPP_f497468491l_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_158_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),hAPP_f352490559i_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_159_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),hAPP_f417299659l_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_160_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.97 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),hAPP_A1374816149t_bool(B,X_2))) ) ) ).
% 0.81/0.97
% 0.81/0.97 fof(fact_161_Pi__mem,axiom,
% 0.81/0.97 ! [X_2,F,A,B] :
% 0.81/0.97 ( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,B)))
% 0.81/0.97 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),hAPP_b1024867081t_bool(B,X_2))) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_162_Pi__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,B)))
% 0.81/0.98 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),hAPP_A1912483895l_bool(B,X_2))) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_163_Pi__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,B)))
% 0.81/0.98 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),hAPP_b1719629739l_bool(B,X_2))) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_164_Pi__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,B)))
% 0.81/0.98 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),hAPP_A1964572607l_bool(B,X_2))) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_165_Pi__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,B)))
% 0.81/0.98 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),hAPP_b990649139l_bool(B,X_2))) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_166_Pi__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,B)))
% 0.81/0.98 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),hAPP_b1965422783l_bool(B,X_2))) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_167_Pi__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,B)))
% 0.81/0.98 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),hAPP_f861484971l_bool(B,X_2))) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_168_Pi__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,B)))
% 0.81/0.98 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),hAPP_A1944296755l_bool(B,X_2))) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_169_Prof__def,axiom,
% 0.81/0.98 arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_170_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_171_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_172_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,hAPP_f681113465i_bool(cOMBK_454107598t_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_173_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,hAPP_f219827985l_bool(cOMBK_886533338t_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_174_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_175_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_176_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_177_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_178_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_179_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_180_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,hAPP_f813556705l_bool(cOMBK_116240846e_indi,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_181_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,hAPP_f371807573l_bool(cOMBK_697604314l_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_182_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_183_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_184_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_185_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_186_funcset__mem,axiom,
% 0.81/0.98 ! [X_2,F,A,B] :
% 0.81/0.98 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,B))))
% 0.81/0.98 => ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
% 0.81/0.98 => hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),B)) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_187_dictator__def,axiom,
% 0.81/0.98 ! [Fa,I_1] :
% 0.81/0.98 ( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1))
% 0.81/0.98 <=> ! [X_1] :
% 0.81/0.98 ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof))
% 0.81/0.98 => hAPP_f695124765t_bool(Fa,X_1) = hAPP_A1374816149t_bool(X_1,I_1) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_188_Pi__UNIV,axiom,
% 0.81/0.98 ! [A] : pi_Pro2135156861t_bool(A,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool ).
% 0.81/0.98
% 0.81/0.98 fof(fact_189_Pi__UNIV,axiom,
% 0.81/0.98 ! [A] : pi_fun433100839t_bool(A,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool ).
% 0.81/0.98
% 0.81/0.98 fof(fact_190_Pi__UNIV,axiom,
% 0.81/0.98 ! [A] : pi_Arr688267935t_bool(A,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool ).
% 0.81/0.98
% 0.81/0.98 fof(fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am,axiom,
% 0.81/0.98 ( 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))))))
% 0.81/0.98 <=> 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)))) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am,axiom,
% 0.81/0.98 ! [I] :
% 0.81/0.98 ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
% 0.81/0.98 => 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))) )
% 0.81/0.98 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
% 0.81/0.98 => ( ( hAPP_A588601142di_nat(h,I) = n
% 0.81/0.98 => 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))) )
% 0.81/0.98 & ( hAPP_A588601142di_nat(h,I) != n
% 0.81/0.98 => 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))) ) ) ) )
% 0.81/0.98 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
% 0.81/0.98 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
% 0.81/0.98 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
% 0.81/0.98 => hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ) ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_193__096a_A_126_061_Ab_096,axiom,
% 0.81/0.98 a != b ).
% 0.81/0.98
% 0.81/0.98 fof(fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096,axiom,
% 0.81/0.98 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096,axiom,
% 0.81/0.98 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096,axiom,
% 0.81/0.98 ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)) ).
% 0.81/0.98
% 0.81/0.98 fof(fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096,axiom,
% 0.81/0.98 ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ).
% 0.81/0.98
% 0.81/0.98 %----Helper facts (40)
% 0.81/0.98 fof(help_fTrue_1_1_U,axiom,
% 0.81/0.98 hBOOL(fTrue) ).
% 0.81/0.98
% 0.81/0.98 fof(help_fTrue_1_1_T,axiom,
% 0.81/0.98 ! [P] :
% 0.81/0.98 ( is_bool(P)
% 0.81/0.98 => ( P = fTrue
% 0.81/0.98 | P = fFalse ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom,
% 0.81/0.98 ! [X,Y] :
% 0.81/0.98 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y))
% 0.81/0.98 | X = Y ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom,
% 0.81/0.98 ! [X,Y] :
% 0.81/0.98 ( X != Y
% 0.81/0.98 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_bool(P)
% 0.81/0.98 => hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(P,Q),R) = hAPP_nat_bool(hAPP_A1922697556t_bool(P,R),Q) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_A588601142di_nat(Q,R)) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_bool(P)
% 0.81/0.98 => hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
% 0.81/0.98 ! [X,Y] :
% 0.81/0.98 ( is_fun282293932t_bool(X)
% 0.81/0.98 => hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X),Y) = X ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
% 0.81/0.98 ! [X,Y] :
% 0.81/0.98 ( is_fun282293932t_bool(Y)
% 0.81/0.98 => hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X),Y) = Y ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
% 0.81/0.98 ! [P] :
% 0.81/0.98 ( is_bool(P)
% 0.81/0.98 => ( P = fTrue
% 0.81/0.98 | P = fFalse ) ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_bool(P)
% 0.81/0.98 => hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It,axiom,
% 0.81/0.98 ! [P,Q] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,P),Q) = P ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun282293932t_bool(P)
% 0.81/0.98 => hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,axiom,
% 0.81/0.98 ! [P,Q] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,P),Q) = P ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun432044380l_bool(P)
% 0.81/0.98 => hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun917378774i_bool(P)
% 0.81/0.98 => hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun282293932t_bool(P)
% 0.81/0.98 => hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_bool(P)
% 0.81/0.98 => hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun917378774i_bool(P)
% 0.81/0.98 => hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun432044380l_bool(P)
% 0.81/0.98 => hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029,axiom,
% 0.81/0.98 ! [P,Q] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,P),Q) = P ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun959573582l_bool(P)
% 0.81/0.98 => hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(P,Q),R) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(P,R),Q) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun917378774i_bool(P)
% 0.81/0.98 => hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun959573582l_bool(P)
% 0.81/0.98 => hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(P,Q),R) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(P,R),Q) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(P,Q),R) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P,R),Q) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,axiom,
% 0.81/0.98 ! [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)) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_bool(P)
% 0.81/0.98 => hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun432044380l_bool(P)
% 0.81/0.98 => hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036,axiom,
% 0.81/0.98 ! [P,Q] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,P),Q) = P ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun631676118l_bool(P)
% 0.81/0.98 => hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(P,Q),R) = hAPP_f1290184496t_bool(P,hAPP_A1374816149t_bool(Q,R)) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun917378774i_bool(P)
% 0.81/0.98 => hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038,axiom,
% 0.81/0.98 ! [P,Q] :
% 0.81/0.98 ( is_fun631676118l_bool(P)
% 0.81/0.98 => hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,P),Q) = P ) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(P,Q),R) = hAPP_f1336478923t_bool(P,hAPP_A1374816149t_bool(Q,R)) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(P,Q),R) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(P,R),Q) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041,axiom,
% 0.81/0.98 ! [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)) ).
% 0.81/0.98
% 0.81/0.98 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_,axiom,
% 0.81/0.98 ! [P,Q,R] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(P,Q),R) = hAPP_b1915039793t_bool(P,hAPP_A1466488369i_bool(Q,R)) ).
% 0.81/0.98
% 0.81/0.98 %----Conjectures (1)
% 0.81/0.98 fof(conj_0,conjecture,
% 0.81/0.98 hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ).
% 0.81/0.98
% 0.81/0.98 %------------------------------------------------------------------------------
% 0.81/0.98 %-------------------------------------------
% 0.81/0.98 % Proof found
% 0.81/0.98 % SZS status Theorem for theBenchmark
% 0.81/0.98 % SZS output start Proof
% 0.81/0.98 %ClaNum:817(EqnAxiom:362)
% 0.81/0.98 %VarNum:2606(SingletonVarNum:855)
% 0.81/0.98 %MaxLitNum:14
% 0.81/0.98 %MaxfuncDepth:7
% 0.81/0.98 %SharedTerms:209
% 0.81/0.98 %goalClause: 481
% 0.81/0.98 %singleGoalClaCount:1
% 0.81/0.98 [363]P1(a1)
% 0.81/0.98 [364]P1(a3)
% 0.81/0.98 [365]P1(a10)
% 0.81/0.98 [366]P2(a4)
% 0.81/0.98 [367]P2(a11)
% 0.81/0.98 [368]P9(a5)
% 0.81/0.98 [369]P9(a12)
% 0.81/0.98 [370]P10(a240)
% 0.81/0.98 [371]P3(a243)
% 0.81/0.98 [372]P3(a13)
% 0.81/0.98 [373]P3(a89)
% 0.81/0.98 [374]P7(a242)
% 0.81/0.98 [375]P7(a90)
% 0.81/0.98 [376]P7(a191)
% 0.81/0.98 [377]P4(a2)
% 0.81/0.98 [378]P4(a14)
% 0.81/0.98 [379]P4(a17)
% 0.81/0.98 [380]P4(a19)
% 0.81/0.98 [381]P4(a58)
% 0.81/0.98 [382]P5(a89)
% 0.81/0.98 [469]~E(a14,a2)
% 0.81/0.98 [470]~E(a19,a17)
% 0.81/0.98 [383]P4(f244(a6))
% 0.81/0.98 [384]P6(f245(a7))
% 0.81/0.98 [391]P5(f125(a92,a240))
% 0.81/0.98 [392]P5(f126(a1,a59))
% 0.81/0.98 [393]P5(f126(a3,a59))
% 0.81/0.98 [386]E(f35(f91(a20,a89)),a240)
% 0.81/0.98 [387]E(f49(f116(a36,a89)),a12)
% 0.81/0.98 [388]E(f50(f118(a37,a89)),a10)
% 0.81/0.98 [389]E(f57(f119(a51,a89)),a11)
% 0.81/0.98 [390]E(f56(f117(a38,a89)),a242)
% 0.81/0.98 [424]E(f194(a240,f155(a39,a4)),a5)
% 0.81/0.98 [425]P5(f171(f196(a195),a5))
% 0.81/0.98 [426]P5(f178(f199(a90),a4))
% 0.81/0.98 [427]P5(f178(f199(a191),a4))
% 0.81/0.98 [447]P5(f185(f187(a214,a215),f93(a240)))
% 0.81/0.98 [481]~P5(f140(f192(f236(a17,a19)),f179(a59,a195)))
% 0.81/0.98 [459]P5(f140(f192(f236(a2,a14)),a90))
% 0.81/0.98 [460]P5(f140(f192(f236(a14,a2)),a191))
% 0.81/0.98 [461]P7(f246(f95(f239(a6,a6),a18)))
% 0.81/0.98 [462]P5(f161(f200(a59),f225(a5,f158(a27,a4))))
% 0.81/0.98 [479]~P5(f140(f192(f236(a2,a14)),a191))
% 0.81/0.98 [480]~P5(f140(f192(f236(a14,a2)),a90))
% 0.81/0.98 [463]P5(f140(f192(f236(a17,a19)),f97(a195,f188(f189(a240,a92),a215))))
% 0.81/0.98 [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))
% 0.81/0.98 [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))))))
% 0.81/0.98 [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))))))
% 0.81/0.98 [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))))))
% 0.81/0.98 [385]P2(f192(x3851))
% 0.81/0.98 [394]P5(f96(a240,x3941))
% 0.81/0.98 [395]P5(f127(a12,x3951))
% 0.81/0.98 [396]P5(f126(a10,x3961))
% 0.81/0.98 [397]P5(f140(a11,x3971))
% 0.81/0.98 [398]P5(f100(a242,x3981))
% 0.81/0.98 [428]E(f194(x4281,f155(a39,a11)),a12)
% 0.81/0.98 [429]E(f225(x4291,f158(a27,a11)),a10)
% 0.81/0.98 [430]E(f226(x4301,f145(a40,a241)),a11)
% 0.81/0.98 [436]P5(f186(f205(x4361),a240))
% 0.81/0.98 [438]P5(f167(f206(x4381),a241))
% 0.81/0.98 [440]P5(f171(f196(x4401),a12))
% 0.81/0.98 [442]P5(f161(f200(x4421),a10))
% 0.81/0.98 [444]P5(f178(f199(x4441),a11))
% 0.81/0.98 [446]P5(f140(f192(x4461),a242))
% 0.81/0.98 [471]~P5(f129(f122(a216,a243),x4711))
% 0.81/0.98 [472]~P5(f186(f150(a217,a240),x4721))
% 0.81/0.98 [473]~P5(f171(f153(a218,a12),x4731))
% 0.81/0.98 [474]~P5(f161(f165(a219,a10),x4741))
% 0.81/0.98 [475]~P5(f178(f149(a220,a11),x4751))
% 0.81/0.98 [476]~P5(f140(f162(a221,a242),x4761))
% 0.81/0.98 [477]~P5(f185(f187(a214,x4771),x4771))
% 0.81/0.98 [478]~P5(f186(f150(a217,x4781),x4781))
% 0.81/0.98 [464]P5(f171(f196(f30(f32(f25(a190,f21(f22(a214,a92),x4641)),a90),a191)),a5))
% 0.81/0.98 [399]P2(f183(x3991,x3992))
% 0.81/0.98 [400]P10(f21(x4001,x4002))
% 0.81/0.98 [401]P10(f182(x4011,x4012))
% 0.81/0.98 [402]P10(f141(x4021,x4022))
% 0.81/0.98 [403]P10(f114(x4031,x4032))
% 0.81/0.98 [404]P3(f185(x4041,x4042))
% 0.81/0.98 [405]P3(f167(x4051,x4052))
% 0.81/0.98 [406]P3(f142(x4061,x4062))
% 0.81/0.98 [407]P3(f128(x4071,x4072))
% 0.81/0.98 [408]P3(f169(x4081,x4082))
% 0.81/0.98 [409]P3(f130(x4091,x4092))
% 0.81/0.98 [410]P3(f131(x4101,x4102))
% 0.81/0.98 [411]P3(f133(x4111,x4112))
% 0.81/0.98 [412]P3(f143(x4121,x4122))
% 0.81/0.98 [413]P3(f159(x4131,x4132))
% 0.81/0.98 [414]P3(f174(x4141,x4142))
% 0.81/0.98 [415]P3(f144(x4151,x4152))
% 0.81/0.98 [416]P3(f134(x4161,x4162))
% 0.81/0.98 [417]P3(f176(x4171,x4172))
% 0.81/0.98 [418]P3(f177(x4181,x4182))
% 0.81/0.98 [419]P3(f170(x4191,x4192))
% 0.81/0.98 [420]P7(f179(x4201,x4202))
% 0.81/0.98 [421]P6(f154(x4211,x4212))
% 0.81/0.98 [422]P6(f180(x4221,x4222))
% 0.81/0.98 [423]P6(f101(x4231,x4232))
% 0.81/0.98 [431]E(f115(f145(a40,x4311),x4312),x4311)
% 0.81/0.98 [432]E(f164(f160(a52,x4321),x4322),x4321)
% 0.81/0.98 [433]E(f175(f132(a28,x4331),x4332),x4331)
% 0.81/0.98 [434]E(f172(f146(a29,x4341),x4342),x4341)
% 0.81/0.98 [448]E(f187(x4481,f102(x4482,x4483)),f103(f22(x4481,x4482),x4483))
% 0.81/0.98 [449]E(f135(x4491,f97(x4492,x4493)),f111(f23(x4491,x4492),x4493))
% 0.81/0.98 [450]E(f136(x4501,f97(x4502,x4503)),f107(f24(x4501,x4502),x4503))
% 0.81/0.98 [451]E(f120(x4511,f96(x4512,x4513)),f113(f25(x4511,x4512),x4513))
% 0.81/0.98 [452]E(f112(f111(x4521,x4522),x4523),f97(f26(x4521,x4523),x4522))
% 0.81/0.98 [453]E(f96(f21(x4531,x4532),x4533),f185(f103(x4531,x4533),x4532))
% 0.81/0.98 [454]E(f148(f98(x4541,x4542),x4543),f97(f30(x4541,x4543),x4542))
% 0.81/0.98 [455]E(f108(f107(x4551,x4552),x4553),f111(f31(x4551,x4553),x4552))
% 0.81/0.98 [456]E(f139(f113(x4561,x4562),x4563),f98(f32(x4561,x4563),x4562))
% 0.81/0.98 [457]E(f148(f98(x4571,x4572),f97(x4573,x4572)),f97(f54(x4571,x4573),x4572))
% 0.81/0.98 [458]E(f139(f113(x4581,x4582),f97(x4583,x4582)),f98(f55(x4581,x4583),x4582))
% 0.81/0.98 [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))))))
% 0.81/0.98 [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))))
% 0.81/0.98 [484]~P10(x4841)+E(f35(x4841),x4841)
% 0.81/0.98 [485]~P1(x4851)+P1(f50(x4851))
% 0.81/0.98 [486]~P2(x4861)+P2(f57(x4861))
% 0.81/0.98 [487]~P9(x4871)+P9(f49(x4871))
% 0.81/0.98 [488]~P10(x4881)+P10(f35(x4881))
% 0.81/0.98 [489]~P7(x4891)+P7(f56(x4891))
% 0.81/0.98 [523]P6(f60(x5231))+P5(f125(x5231,a240))
% 0.81/0.98 [524]P6(f75(x5241))+P5(f125(x5241,a240))
% 0.81/0.98 [525]P4(f61(x5251))+P5(f126(a1,x5251))
% 0.81/0.98 [526]P4(f64(x5261))+P5(f126(a1,x5261))
% 0.81/0.98 [527]P4(f65(x5271))+P5(f126(a3,x5271))
% 0.81/0.98 [528]P4(f68(x5281))+P5(f126(a3,x5281))
% 0.81/0.98 [529]~E(f75(x5291),f60(x5291))+P5(f125(x5291,a240))
% 0.81/0.98 [552]P5(a243)+~P5(f96(a240,x5521))
% 0.81/0.98 [553]P5(a243)+~P5(f127(a12,x5531))
% 0.81/0.98 [554]P5(a243)+~P5(f126(a10,x5541))
% 0.81/0.98 [555]P5(a243)+~P5(f140(a11,x5551))
% 0.81/0.98 [556]P5(a243)+~P5(f100(a242,x5561))
% 0.81/0.98 [562]E(f102(x5621,f75(x5621)),f102(x5621,f60(x5621)))+P5(f125(x5621,a240))
% 0.81/0.98 [584]P5(f126(a1,x5841))+P5(f171(f196(f62(x5841)),a5))
% 0.81/0.98 [585]P5(f126(a1,x5851))+P5(f171(f196(f63(x5851)),a5))
% 0.81/0.98 [586]P5(f126(a3,x5861))+P5(f171(f196(f66(x5861)),a5))
% 0.81/0.98 [627]~P5(f178(f199(x6271),a4))+P5(f171(f196(f137(a34,x6271)),a5))
% 0.81/0.98 [721]P5(f126(a3,x7211))+~P5(f140(f192(f236(f65(x7211),f68(x7211))),f179(x7211,f66(x7211))))
% 0.81/0.98 [495]~P9(x4951)+P1(f225(x4951,x4952))
% 0.81/0.98 [496]~P6(x4962)+P1(f109(x4961,x4962))
% 0.81/0.98 [497]~P3(x4972)+P1(f118(x4971,x4972))
% 0.81/0.98 [498]~P7(x4981)+P2(f226(x4981,x4982))
% 0.81/0.98 [499]~P6(x4992)+P2(f110(x4991,x4992))
% 0.81/0.98 [500]~P3(x5002)+P2(f119(x5001,x5002))
% 0.81/0.98 [501]~P7(x5012)+P2(f162(x5011,x5012))
% 0.81/0.98 [502]~P10(x5021)+P9(f194(x5021,x5022))
% 0.81/0.98 [503]~P6(x5032)+P9(f104(x5031,x5032))
% 0.81/0.98 [504]~P3(x5042)+P9(f116(x5041,x5042))
% 0.81/0.98 [505]~P3(x5052)+P10(f91(x5051,x5052))
% 0.81/0.98 [506]~P7(x5062)+P10(f166(x5061,x5062))
% 0.81/0.98 [507]~P10(x5072)+P3(f125(x5071,x5072))
% 0.81/0.98 [508]~P3(x5082)+P3(f129(x5081,x5082))
% 0.81/0.98 [509]~P10(x5092)+P3(f186(x5091,x5092))
% 0.81/0.98 [510]~P9(x5101)+P3(f127(x5101,x5102))
% 0.81/0.98 [511]~P9(x5112)+P3(f171(x5111,x5112))
% 0.81/0.98 [512]~P1(x5121)+P3(f126(x5121,x5122))
% 0.81/0.98 [513]~P1(x5132)+P3(f161(x5131,x5132))
% 0.81/0.98 [514]~P2(x5142)+P3(f178(x5141,x5142))
% 0.81/0.98 [515]~P7(x5151)+P3(f100(x5151,x5152))
% 0.81/0.98 [516]~P4(x5162)+P7(f112(x5161,x5162))
% 0.81/0.98 [517]~P6(x5172)+P7(f97(x5171,x5172))
% 0.81/0.98 [518]~P3(x5182)+P7(f117(x5181,x5182))
% 0.81/0.98 [519]~P7(x5192)+P7(f148(x5191,x5192))
% 0.81/0.98 [520]~P8(x5201)+P6(f188(x5201,x5202))
% 0.81/0.98 [521]~P7(x5212)+P6(f147(x5211,x5212))
% 0.81/0.98 [522]~P10(x5221)+P8(f189(x5221,x5222))
% 0.81/0.98 [530]P4(f76(x5301))+P5(f100(x5301,x5302))
% 0.81/0.98 [531]P4(f87(x5311))+P5(f100(x5311,x5312))
% 0.81/0.98 [560]P5(f125(x5601,x5602))+P6(f71(x5601,x5602))
% 0.81/0.98 [561]P5(f125(x5611,x5612))+P6(f73(x5611,x5612))
% 0.81/0.98 [563]~E(f73(x5631,x5632),f71(x5631,x5632))+P5(f125(x5631,x5632))
% 0.81/0.98 [534]~P3(x5341)+E(f96(f91(a20,x5341),x5342),x5341)
% 0.81/0.98 [535]~P9(x5351)+E(f104(f184(a41,x5351),x5352),x5351)
% 0.81/0.98 [536]~P1(x5361)+E(f109(f151(a42,x5361),x5362),x5361)
% 0.81/0.98 [537]~P2(x5371)+E(f110(f155(a39,x5371),x5372),x5371)
% 0.81/0.98 [538]~P7(x5381)+E(f97(f137(a34,x5381),x5382),x5381)
% 0.81/0.98 [539]~P9(x5391)+E(f116(f168(a47,x5391),x5392),x5391)
% 0.81/0.98 [540]~P1(x5401)+E(f118(f173(a43,x5401),x5402),x5401)
% 0.81/0.98 [541]~P2(x5411)+E(f119(f163(a53,x5411),x5412),x5411)
% 0.81/0.98 [542]~P7(x5421)+E(f117(f138(a48,x5421),x5422),x5421)
% 0.81/0.98 [543]~P3(x5431)+E(f127(f116(a36,x5431),x5432),x5431)
% 0.81/0.98 [544]~P10(x5441)+E(f182(f181(a45,x5441),x5442),x5441)
% 0.81/0.98 [545]~P2(x5451)+E(f183(f158(a27,x5451),x5452),x5451)
% 0.81/0.98 [546]~P3(x5461)+E(f126(f118(a37,x5461),x5462),x5461)
% 0.81/0.98 [547]~P10(x5471)+E(f141(f152(a44,x5471),x5472),x5471)
% 0.81/0.98 [548]~P3(x5481)+E(f140(f119(a51,x5481),x5482),x5481)
% 0.81/0.98 [549]~P10(x5491)+E(f166(f156(a46,x5491),x5492),x5491)
% 0.81/0.98 [550]~P3(x5501)+E(f100(f117(a38,x5501),x5502),x5501)
% 0.81/0.98 [551]~P10(x5511)+E(f114(f157(a33,x5511),x5512),x5511)
% 0.81/0.98 [568]~E(x5681,x5682)+P5(f185(f187(a94,x5681),x5682))
% 0.81/0.98 [578]~P5(f96(x5782,x5781))+P5(f186(f205(x5781),x5782))
% 0.81/0.98 [579]~P5(f129(x5792,x5791))+P5(f167(f206(x5791),x5792))
% 0.81/0.98 [580]~P5(f127(x5802,x5801))+P5(f171(f196(x5801),x5802))
% 0.81/0.98 [581]~P5(f126(x5812,x5811))+P5(f161(f200(x5811),x5812))
% 0.81/0.98 [582]~P5(f140(x5822,x5821))+P5(f178(f199(x5821),x5822))
% 0.81/0.98 [583]~P5(f100(x5832,x5831))+P5(f140(f192(x5831),x5832))
% 0.81/0.98 [587]P5(f96(x5871,x5872))+~P5(f186(f205(x5872),x5871))
% 0.81/0.98 [588]P5(f129(x5881,x5882))+~P5(f167(f206(x5882),x5881))
% 0.81/0.98 [589]P5(f127(x5891,x5892))+~P5(f171(f196(x5892),x5891))
% 0.81/0.98 [590]P5(f126(x5901,x5902))+~P5(f161(f200(x5902),x5901))
% 0.81/0.98 [591]P5(f140(x5911,x5912))+~P5(f178(f199(x5912),x5911))
% 0.81/0.98 [592]P5(f100(x5921,x5922))+~P5(f140(f192(x5922),x5921))
% 0.81/0.98 [595]P5(f125(x5951,x5952))+E(f102(x5951,f73(x5951,x5952)),f102(x5951,f71(x5951,x5952)))
% 0.81/0.98 [598]E(x5981,x5982)+~P5(f185(f187(a94,x5981),x5982))
% 0.81/0.98 [605]~E(x6051,x6052)+~P5(f185(f187(a214,x6051),x6052))
% 0.81/0.98 [608]~E(x6081,x6082)+~P5(f186(f150(a217,x6081),x6082))
% 0.81/0.98 [628]~E(f179(x6281,f82(x6281,x6282)),f97(f82(x6281,x6282),x6282))+P5(f96(f141(a9,x6281),x6282))
% 0.81/0.98 [639]~P5(f185(f187(a214,x6392),x6391))+~P5(f185(f187(a214,x6391),x6392))
% 0.81/0.98 [644]~P5(f186(f150(a217,x6442),x6441))+~P5(f186(f150(a217,x6441),x6442))
% 0.81/0.98 [576]~P7(x5762)+E(f148(f139(f120(a190,a13),x5761),x5762),x5762)
% 0.81/0.98 [577]~P7(x5771)+E(f148(f139(f120(a190,a89),x5771),x5772),x5771)
% 0.81/0.98 [623]P5(f125(x6231,x6232))+P5(f186(f205(f71(x6231,x6232)),x6232))
% 0.81/0.98 [624]P5(f125(x6241,x6242))+P5(f186(f205(f73(x6241,x6242)),x6242))
% 0.81/0.98 [631]P5(f96(f141(a9,x6311),x6312))+P5(f171(f196(f82(x6311,x6312)),a5))
% 0.81/0.98 [633]P5(f100(x6331,x6332))+~P5(f100(x6331,f236(f76(x6331),f87(x6331))))
% 0.81/0.98 [662]~P5(f178(f199(x6621),a4))+P5(f178(f199(f112(f135(a8,x6621),x6622)),a4))
% 0.81/0.98 [663]~P5(f178(f199(x6631),a4))+P5(f178(f199(f112(f135(a15,x6631),x6632)),a4))
% 0.81/0.98 [483]~P3(x4831)+E(x4831,a89)+E(x4831,a13)
% 0.81/0.98 [569]~P10(x5691)+E(x5691,a240)+P5(f186(f150(a217,x5691),a240))
% 0.81/0.98 [570]~P9(x5701)+E(x5701,a12)+P5(f171(f153(a218,x5701),a12))
% 0.81/0.98 [571]~P1(x5711)+E(x5711,a10)+P5(f161(f165(a219,x5711),a10))
% 0.81/0.98 [572]~P2(x5721)+E(x5721,a11)+P5(f178(f149(a220,x5721),a11))
% 0.81/0.98 [573]~P7(x5731)+E(x5731,a242)+P5(f140(f162(a221,x5731),a242))
% 0.81/0.98 [574]P5(x5741)+~P5(a243)+P5(f129(f122(a216,x5741),a243))
% 0.81/0.98 [575]~P5(x5751)+P5(a243)+P5(f129(f122(a216,x5751),a243))
% 0.81/0.98 [599]P5(x5991)+P5(a243)+~P5(f129(f122(a216,x5991),a243))
% 0.81/0.98 [610]~P9(x6101)+~E(x6101,a12)+~P5(f171(f153(a218,x6101),a12))
% 0.81/0.98 [611]~P1(x6111)+~E(x6111,a10)+~P5(f161(f165(a219,x6111),a10))
% 0.81/0.98 [612]~P2(x6121)+~E(x6121,a11)+~P5(f178(f149(a220,x6121),a11))
% 0.81/0.98 [613]~P7(x6131)+~E(x6131,a242)+~P5(f140(f162(a221,x6131),a242))
% 0.81/0.98 [614]~P5(x6141)+~P5(a243)+~P5(f129(f122(a216,x6141),a243))
% 0.81/0.98 [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))))
% 0.81/0.98 [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))))
% 0.81/0.98 [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)))
% 0.81/0.98 [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)))
% 0.81/0.98 [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)))
% 0.81/0.98 [532]~P10(x5321)+~P6(x5322)+P3(f96(x5321,x5322))
% 0.81/0.98 [533]~P2(x5331)+~P7(x5332)+P3(f140(x5331,x5332))
% 0.81/0.98 [597]~P6(x5972)+E(f188(f189(a240,x5971),f102(x5971,x5972)),x5972)+~P5(f125(x5971,a240))
% 0.81/0.98 [620]E(x6201,x6202)+P5(f185(f187(a214,x6202),x6201))+P5(f185(f187(a214,x6201),x6202))
% 0.81/0.98 [657]~P6(x6572)+P5(f126(a3,x6571))+P5(f140(f192(f236(f65(x6571),f68(x6571))),f97(f66(x6571),x6572)))
% 0.81/0.98 [658]P4(f78(x6581,x6582))+P5(f96(f141(a9,x6582),x6581))+~P5(f161(f200(x6582),f225(a5,f158(a27,a4))))
% 0.81/0.98 [659]P4(f80(x6591,x6592))+P5(f96(f141(a9,x6592),x6591))+~P5(f161(f200(x6592),f225(a5,f158(a27,a4))))
% 0.81/0.98 [661]~E(f80(x6612,x6611),f78(x6612,x6611))+P5(f96(f141(a9,x6611),x6612))+~P5(f161(f200(x6611),f225(a5,f158(a27,a4))))
% 0.81/0.98 [700]P5(f96(f141(a9,x7001),x7002))+~P5(f161(f200(x7001),f225(a5,f158(a27,a4))))+P5(f171(f196(f79(x7002,x7001)),a5))
% 0.81/0.98 [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))))
% 0.81/0.98 [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))))
% 0.81/0.98 [629]E(f179(x6291,x6292),f97(x6292,x6293))+~P5(f96(f141(a9,x6291),x6293))+~P5(f171(f196(x6292),a5))
% 0.81/0.98 [652]~P5(f185(f187(a214,x6521),x6523))+P5(f185(f187(a214,x6521),x6522))+~P5(f185(f187(a214,x6523),x6522))
% 0.81/0.98 [654]~P5(f186(f150(a217,x6541),x6543))+P5(f186(f150(a217,x6541),x6542))+~P5(f186(f150(a217,x6543),x6542))
% 0.81/0.98 [720]~P5(f178(f199(x7201),a4))+~P5(f140(f192(f236(x7203,x7202)),x7201))+~P5(f140(f192(f236(x7202,x7203)),x7201))
% 0.81/0.98 [665]~P5(f159(f197(x6651),f227(x6654,x6653)))+P5(f186(f205(f154(x6651,x6652)),f182(x6653,x6652)))+~P5(f171(f196(x6652),x6654))
% 0.81/0.98 [667]~P5(f144(f198(x6671),f235(x6674,x6673)))+P5(f186(f205(f180(x6671,x6672)),f141(x6673,x6672)))+~P5(f161(f200(x6672),x6674))
% 0.81/0.98 [669]~P5(f176(f207(x6691),f237(x6694,x6693)))+P5(f186(f205(f147(x6691,x6692)),f166(x6693,x6692)))+~P5(f178(f199(x6692),x6694))
% 0.81/0.98 [671]~P5(f170(f209(x6711),f228(x6714,x6713)))+P5(f186(f205(f101(x6711,x6712)),f114(x6713,x6712)))+~P5(f140(f192(x6712),x6714))
% 0.81/0.98 [673]~P5(f174(f202(x6731),f229(x6734,x6733)))+P5(f167(f206(f127(x6731,x6732)),f164(x6733,x6732)))+~P5(f171(f196(x6732),x6734))
% 0.81/0.99 [675]~P5(f134(f210(x6751),f238(x6754,x6753)))+P5(f167(f206(f126(x6751,x6752)),f175(x6753,x6752)))+~P5(f161(f200(x6752),x6754))
% 0.81/0.99 [677]~P5(f177(f193(x6771),f234(x6774,x6773)))+P5(f167(f206(f140(x6771,x6772)),f172(x6773,x6772)))+~P5(f178(f199(x6772),x6774))
% 0.81/0.99 [679]~P5(f178(f199(x6791),f226(x6794,x6793)))+P5(f167(f206(f100(x6791,x6792)),f115(x6793,x6792)))+~P5(f140(f192(x6792),x6794))
% 0.81/0.99 [681]~P5(f142(f203(x6811),f222(x6814,x6813)))+P5(f171(f196(f105(x6811,x6812)),f104(x6813,x6812)))+~P5(f186(f205(x6812),x6814))
% 0.81/0.99 [683]~P5(f130(f204(x6831),f230(x6834,x6833)))+P5(f171(f196(f124(x6831,x6832)),f116(x6833,x6832)))+~P5(f167(f206(x6832),x6834))
% 0.81/0.99 [685]~P5(f128(f201(x6851),f224(x6854,x6853)))+P5(f161(f200(f99(x6851,x6852)),f109(x6853,x6852)))+~P5(f186(f205(x6852),x6854))
% 0.81/0.99 [687]~P5(f131(f208(x6871),f233(x6874,x6873)))+P5(f161(f200(f123(x6871,x6872)),f118(x6873,x6872)))+~P5(f167(f206(x6872),x6874))
% 0.81/0.99 [689]~P5(f171(f196(x6891),f194(x6894,x6893)))+P5(f178(f199(f97(x6891,x6892)),f110(x6893,x6892)))+~P5(f186(f205(x6892),x6894))
% 0.81/0.99 [691]~P5(f133(f211(x6911),f231(x6914,x6913)))+P5(f178(f199(f117(x6911,x6912)),f119(x6913,x6912)))+~P5(f167(f206(x6912),x6914))
% 0.81/0.99 [693]~P5(f161(f200(x6931),f225(x6934,x6933)))+P5(f178(f199(f179(x6931,x6932)),f183(x6933,x6932)))+~P5(f171(f196(x6932),x6934))
% 0.81/0.99 [695]~P5(f169(f213(x6951),f223(x6954,x6953)))+P5(f140(f192(f106(x6951,x6952)),f97(x6953,x6952)))+~P5(f186(f205(x6952),x6954))
% 0.81/0.99 [697]~P5(f143(f212(x6971),f232(x6974,x6973)))+P5(f140(f192(f121(x6971,x6972)),f117(x6973,x6972)))+~P5(f167(f206(x6972),x6974))
% 0.81/0.99 [703]~P5(f171(f196(x7032),x7034))+P5(f186(f205(f154(x7031,x7032)),x7033))+~P5(f159(f197(x7031),f227(x7034,f181(a45,x7033))))
% 0.81/0.99 [704]~P5(f161(f200(x7042),x7044))+P5(f186(f205(f180(x7041,x7042)),x7043))+~P5(f144(f198(x7041),f235(x7044,f152(a44,x7043))))
% 0.81/0.99 [705]~P5(f178(f199(x7052),x7054))+P5(f186(f205(f147(x7051,x7052)),x7053))+~P5(f176(f207(x7051),f237(x7054,f156(a46,x7053))))
% 0.81/0.99 [706]~P5(f140(f192(x7062),x7064))+P5(f186(f205(f101(x7061,x7062)),x7063))+~P5(f170(f209(x7061),f228(x7064,f157(a33,x7063))))
% 0.81/0.99 [707]~P5(f171(f196(x7072),x7074))+P5(f167(f206(f127(x7071,x7072)),x7073))+~P5(f174(f202(x7071),f229(x7074,f160(a52,x7073))))
% 0.81/0.99 [708]~P5(f161(f200(x7082),x7084))+P5(f167(f206(f126(x7081,x7082)),x7083))+~P5(f134(f210(x7081),f238(x7084,f132(a28,x7083))))
% 0.81/0.99 [709]~P5(f178(f199(x7092),x7094))+P5(f167(f206(f140(x7091,x7092)),x7093))+~P5(f177(f193(x7091),f234(x7094,f146(a29,x7093))))
% 0.81/0.99 [710]~P5(f140(f192(x7102),x7104))+P5(f167(f206(f100(x7101,x7102)),x7103))+~P5(f178(f199(x7101),f226(x7104,f145(a40,x7103))))
% 0.81/0.99 [711]~P5(f186(f205(x7112),x7114))+P5(f171(f196(f105(x7111,x7112)),x7113))+~P5(f142(f203(x7111),f222(x7114,f184(a41,x7113))))
% 0.81/0.99 [712]~P5(f167(f206(x7122),x7124))+P5(f171(f196(f124(x7121,x7122)),x7123))+~P5(f130(f204(x7121),f230(x7124,f168(a47,x7123))))
% 0.81/0.99 [713]~P5(f186(f205(x7132),x7134))+P5(f161(f200(f99(x7131,x7132)),x7133))+~P5(f128(f201(x7131),f224(x7134,f151(a42,x7133))))
% 0.81/0.99 [714]~P5(f167(f206(x7142),x7144))+P5(f161(f200(f123(x7141,x7142)),x7143))+~P5(f131(f208(x7141),f233(x7144,f173(a43,x7143))))
% 0.81/0.99 [715]~P5(f186(f205(x7152),x7154))+P5(f178(f199(f97(x7151,x7152)),x7153))+~P5(f171(f196(x7151),f194(x7154,f155(a39,x7153))))
% 0.81/0.99 [716]~P5(f167(f206(x7162),x7164))+P5(f178(f199(f117(x7161,x7162)),x7163))+~P5(f133(f211(x7161),f231(x7164,f163(a53,x7163))))
% 0.81/0.99 [717]~P5(f171(f196(x7172),x7174))+P5(f178(f199(f179(x7171,x7172)),x7173))+~P5(f161(f200(x7171),f225(x7174,f158(a27,x7173))))
% 0.81/0.99 [718]~P5(f186(f205(x7182),x7184))+P5(f140(f192(f106(x7181,x7182)),x7183))+~P5(f169(f213(x7181),f223(x7184,f137(a34,x7183))))
% 0.81/0.99 [719]~P5(f167(f206(x7192),x7194))+P5(f140(f192(f121(x7191,x7192)),x7193))+~P5(f143(f212(x7191),f232(x7194,f138(a48,x7193))))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [557]~P4(x5572)+~P4(x5571)+E(x5571,x5572)+P7(f77(x5571,x5572))
% 0.81/0.99 [558]~P7(x5582)+~P7(x5581)+E(x5581,x5582)+P4(f69(x5581,x5582))
% 0.81/0.99 [559]~P7(x5592)+~P7(x5591)+E(x5591,x5592)+P4(f70(x5591,x5592))
% 0.81/0.99 [630]~P4(x6302)+~P4(x6301)+E(x6301,x6302)+P5(f140(f192(f236(x6301,x6302)),f77(x6301,x6302)))
% 0.81/0.99 [621]~P4(x6212)+~P4(x6211)+E(x6211,x6212)+P5(f178(f199(f77(x6211,x6212)),a4))
% 0.81/0.99 [632]~P8(x6322)+E(f189(a240,x6321),x6322)+~P5(f125(x6321,a240))+~E(f102(x6321,f188(x6322,f74(x6322,x6321))),f74(x6322,x6321))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [596]~P6(x5963)+~E(f102(x5961,x5963),x5962)+E(f188(f189(a240,x5961),x5962),x5963)+~P5(f125(x5961,a240))
% 0.81/0.99 [622]~P4(x6223)+~P4(x6222)+~P5(f100(x6221,f81(x6221)))+P5(f100(x6221,f236(x6222,x6223)))
% 0.81/0.99 [626]~P6(x6263)+~P5(f125(x6262,x6261))+E(f188(f189(x6261,x6262),f102(x6262,x6263)),x6263)+~P5(f186(f205(x6263),x6261))
% 0.81/0.99 [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))
% 0.81/0.99 [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))
% 0.81/0.99 [594]~P6(x5942)+~P6(x5941)+E(x5941,x5942)+~E(f102(x5943,x5941),f102(x5943,x5942))+~P5(f125(x5943,a240))
% 0.81/0.99 [731]~P4(x7312)+~P4(x7311)+E(x7311,x7312)+~P5(f178(f199(x7313),a4))+P5(f178(f199(f112(f108(f136(a16,x7313),x7311),x7312)),a4))
% 0.81/0.99 [625]~P6(x6254)+~E(f102(x6252,x6254),x6253)+~P5(f125(x6252,x6251))+E(f188(f189(x6251,x6252),x6253),x6254)+~P5(f186(f205(x6254),x6251))
% 0.81/0.99 [698]~P4(x6982)+~P4(x6981)+~E(x6981,x6982)+~P4(x6983)+~P5(f140(f192(f236(x6983,x6981)),f112(f135(a8,x6984),x6982)))
% 0.81/0.99 [699]~P4(x6992)+~P4(x6991)+~E(x6991,x6992)+~P4(x6993)+~P5(f140(f192(f236(x6991,x6993)),f112(f135(a15,x6994),x6992)))
% 0.81/0.99 [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))
% 0.81/0.99 [565]~P4(x5654)+~P4(x5653)+~P4(x5652)+~P4(x5651)+E(x5651,x5652)+~E(f236(x5653,x5651),f236(x5654,x5652))
% 0.81/0.99 [567]~P4(x5674)+~P4(x5673)+~P4(x5672)+~P4(x5671)+E(x5671,x5672)+~E(f236(x5671,x5673),f236(x5672,x5674))
% 0.81/0.99 [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))
% 0.81/0.99 [701]~P4(x7012)+~P4(x7013)+~P4(x7011)+~E(x7011,x7012)+~E(x7011,x7013)+~P5(f140(f192(f236(x7012,x7011)),f112(f135(a15,x7014),x7013)))
% 0.81/0.99 [702]~P4(x7022)+~P4(x7023)+~P4(x7021)+~E(x7021,x7022)+~E(x7021,x7023)+~P5(f140(f192(f236(x7021,x7022)),f112(f135(a8,x7024),x7023)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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))
% 0.81/0.99 [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))
% 0.81/0.99 [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))
% 0.81/0.99 [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))
% 0.81/0.99 [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)))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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))
% 0.81/0.99 [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))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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)))
% 0.81/0.99 [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))
% 0.81/0.99 [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))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))
% 0.81/0.99 [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))
% 0.81/0.99 [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))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 [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))))
% 0.81/0.99 %EqnAxiom
% 0.81/0.99 [1]E(x11,x11)
% 0.81/0.99 [2]E(x22,x21)+~E(x21,x22)
% 0.81/0.99 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.81/0.99 [4]~E(x41,x42)+E(f244(x41),f244(x42))
% 0.81/0.99 [5]~E(x51,x52)+E(f245(x51),f245(x52))
% 0.81/0.99 [6]~E(x61,x62)+E(f192(x61),f192(x62))
% 0.81/0.99 [7]~E(x71,x72)+E(f91(x71,x73),f91(x72,x73))
% 0.81/0.99 [8]~E(x81,x82)+E(f91(x83,x81),f91(x83,x82))
% 0.81/0.99 [9]~E(x91,x92)+E(f35(x91),f35(x92))
% 0.81/0.99 [10]~E(x101,x102)+E(f116(x101,x103),f116(x102,x103))
% 0.81/0.99 [11]~E(x111,x112)+E(f116(x113,x111),f116(x113,x112))
% 0.81/0.99 [12]~E(x121,x122)+E(f49(x121),f49(x122))
% 0.81/0.99 [13]~E(x131,x132)+E(f118(x131,x133),f118(x132,x133))
% 0.81/0.99 [14]~E(x141,x142)+E(f118(x143,x141),f118(x143,x142))
% 0.81/0.99 [15]~E(x151,x152)+E(f50(x151),f50(x152))
% 0.81/0.99 [16]~E(x161,x162)+E(f119(x161,x163),f119(x162,x163))
% 0.81/0.99 [17]~E(x171,x172)+E(f119(x173,x171),f119(x173,x172))
% 0.81/0.99 [18]~E(x181,x182)+E(f57(x181),f57(x182))
% 0.81/0.99 [19]~E(x191,x192)+E(f117(x191,x193),f117(x192,x193))
% 0.81/0.99 [20]~E(x201,x202)+E(f117(x203,x201),f117(x203,x202))
% 0.81/0.99 [21]~E(x211,x212)+E(f56(x211),f56(x212))
% 0.81/0.99 [22]~E(x221,x222)+E(f125(x221,x223),f125(x222,x223))
% 0.81/0.99 [23]~E(x231,x232)+E(f125(x233,x231),f125(x233,x232))
% 0.81/0.99 [24]~E(x241,x242)+E(f126(x241,x243),f126(x242,x243))
% 0.81/0.99 [25]~E(x251,x252)+E(f126(x253,x251),f126(x253,x252))
% 0.81/0.99 [26]~E(x261,x262)+E(f54(x261,x263),f54(x262,x263))
% 0.81/0.99 [27]~E(x271,x272)+E(f54(x273,x271),f54(x273,x272))
% 0.81/0.99 [28]~E(x281,x282)+E(f96(x281,x283),f96(x282,x283))
% 0.81/0.99 [29]~E(x291,x292)+E(f96(x293,x291),f96(x293,x292))
% 0.81/0.99 [30]~E(x301,x302)+E(f127(x301,x303),f127(x302,x303))
% 0.81/0.99 [31]~E(x311,x312)+E(f127(x313,x311),f127(x313,x312))
% 0.81/0.99 [32]~E(x321,x322)+E(f26(x321,x323),f26(x322,x323))
% 0.81/0.99 [33]~E(x331,x332)+E(f26(x333,x331),f26(x333,x332))
% 0.81/0.99 [34]~E(x341,x342)+E(f140(x341,x343),f140(x342,x343))
% 0.81/0.99 [35]~E(x351,x352)+E(f140(x353,x351),f140(x353,x352))
% 0.81/0.99 [36]~E(x361,x362)+E(f100(x361,x363),f100(x362,x363))
% 0.81/0.99 [37]~E(x371,x372)+E(f100(x373,x371),f100(x373,x372))
% 0.81/0.99 [38]~E(x381,x382)+E(f183(x381,x383),f183(x382,x383))
% 0.81/0.99 [39]~E(x391,x392)+E(f183(x393,x391),f183(x393,x392))
% 0.81/0.99 [40]~E(x401,x402)+E(f21(x401,x403),f21(x402,x403))
% 0.81/0.99 [41]~E(x411,x412)+E(f21(x413,x411),f21(x413,x412))
% 0.81/0.99 [42]~E(x421,x422)+E(f182(x421,x423),f182(x422,x423))
% 0.81/0.99 [43]~E(x431,x432)+E(f182(x433,x431),f182(x433,x432))
% 0.81/0.99 [44]~E(x441,x442)+E(f141(x441,x443),f141(x442,x443))
% 0.81/0.99 [45]~E(x451,x452)+E(f141(x453,x451),f141(x453,x452))
% 0.81/0.99 [46]~E(x461,x462)+E(f114(x461,x463),f114(x462,x463))
% 0.81/0.99 [47]~E(x471,x472)+E(f114(x473,x471),f114(x473,x472))
% 0.81/0.99 [48]~E(x481,x482)+E(f185(x481,x483),f185(x482,x483))
% 0.81/0.99 [49]~E(x491,x492)+E(f185(x493,x491),f185(x493,x492))
% 0.81/0.99 [50]~E(x501,x502)+E(f167(x501,x503),f167(x502,x503))
% 0.81/0.99 [51]~E(x511,x512)+E(f167(x513,x511),f167(x513,x512))
% 0.81/0.99 [52]~E(x521,x522)+E(f142(x521,x523),f142(x522,x523))
% 0.81/0.99 [53]~E(x531,x532)+E(f142(x533,x531),f142(x533,x532))
% 0.81/0.99 [54]~E(x541,x542)+E(f128(x541,x543),f128(x542,x543))
% 0.81/0.99 [55]~E(x551,x552)+E(f128(x553,x551),f128(x553,x552))
% 0.81/0.99 [56]~E(x561,x562)+E(f169(x561,x563),f169(x562,x563))
% 0.81/0.99 [57]~E(x571,x572)+E(f169(x573,x571),f169(x573,x572))
% 0.81/0.99 [58]~E(x581,x582)+E(f130(x581,x583),f130(x582,x583))
% 0.81/0.99 [59]~E(x591,x592)+E(f130(x593,x591),f130(x593,x592))
% 0.81/0.99 [60]~E(x601,x602)+E(f131(x601,x603),f131(x602,x603))
% 0.81/0.99 [61]~E(x611,x612)+E(f131(x613,x611),f131(x613,x612))
% 0.81/0.99 [62]~E(x621,x622)+E(f133(x621,x623),f133(x622,x623))
% 0.81/0.99 [63]~E(x631,x632)+E(f133(x633,x631),f133(x633,x632))
% 0.81/0.99 [64]~E(x641,x642)+E(f143(x641,x643),f143(x642,x643))
% 0.81/0.99 [65]~E(x651,x652)+E(f143(x653,x651),f143(x653,x652))
% 0.81/0.99 [66]~E(x661,x662)+E(f159(x661,x663),f159(x662,x663))
% 0.81/0.99 [67]~E(x671,x672)+E(f159(x673,x671),f159(x673,x672))
% 0.81/0.99 [68]~E(x681,x682)+E(f174(x681,x683),f174(x682,x683))
% 0.81/0.99 [69]~E(x691,x692)+E(f174(x693,x691),f174(x693,x692))
% 0.81/0.99 [70]~E(x701,x702)+E(f144(x701,x703),f144(x702,x703))
% 0.81/0.99 [71]~E(x711,x712)+E(f144(x713,x711),f144(x713,x712))
% 0.81/0.99 [72]~E(x721,x722)+E(f134(x721,x723),f134(x722,x723))
% 0.81/0.99 [73]~E(x731,x732)+E(f134(x733,x731),f134(x733,x732))
% 0.81/0.99 [74]~E(x741,x742)+E(f176(x741,x743),f176(x742,x743))
% 0.81/0.99 [75]~E(x751,x752)+E(f176(x753,x751),f176(x753,x752))
% 0.81/0.99 [76]~E(x761,x762)+E(f177(x761,x763),f177(x762,x763))
% 0.81/0.99 [77]~E(x771,x772)+E(f177(x773,x771),f177(x773,x772))
% 0.81/0.99 [78]~E(x781,x782)+E(f170(x781,x783),f170(x782,x783))
% 0.81/0.99 [79]~E(x791,x792)+E(f170(x793,x791),f170(x793,x792))
% 0.81/0.99 [80]~E(x801,x802)+E(f179(x801,x803),f179(x802,x803))
% 0.81/0.99 [81]~E(x811,x812)+E(f179(x813,x811),f179(x813,x812))
% 0.81/0.99 [82]~E(x821,x822)+E(f154(x821,x823),f154(x822,x823))
% 0.81/0.99 [83]~E(x831,x832)+E(f154(x833,x831),f154(x833,x832))
% 0.81/0.99 [84]~E(x841,x842)+E(f180(x841,x843),f180(x842,x843))
% 0.81/0.99 [85]~E(x851,x852)+E(f180(x853,x851),f180(x853,x852))
% 0.81/0.99 [86]~E(x861,x862)+E(f101(x861,x863),f101(x862,x863))
% 0.81/0.99 [87]~E(x871,x872)+E(f101(x873,x871),f101(x873,x872))
% 0.81/0.99 [88]~E(x881,x882)+E(f155(x881,x883),f155(x882,x883))
% 0.81/0.99 [89]~E(x891,x892)+E(f155(x893,x891),f155(x893,x892))
% 0.81/0.99 [90]~E(x901,x902)+E(f194(x901,x903),f194(x902,x903))
% 0.81/0.99 [91]~E(x911,x912)+E(f194(x913,x911),f194(x913,x912))
% 0.81/0.99 [92]~E(x921,x922)+E(f196(x921),f196(x922))
% 0.81/0.99 [93]~E(x931,x932)+E(f171(x931,x933),f171(x932,x933))
% 0.81/0.99 [94]~E(x941,x942)+E(f171(x943,x941),f171(x943,x942))
% 0.81/0.99 [95]~E(x951,x952)+E(f199(x951),f199(x952))
% 0.81/0.99 [96]~E(x961,x962)+E(f178(x961,x963),f178(x962,x963))
% 0.81/0.99 [97]~E(x971,x972)+E(f178(x973,x971),f178(x973,x972))
% 0.81/0.99 [98]~E(x981,x982)+E(f108(x981,x983),f108(x982,x983))
% 0.81/0.99 [99]~E(x991,x992)+E(f108(x993,x991),f108(x993,x992))
% 0.81/0.99 [100]~E(x1001,x1002)+E(f135(x1001,x1003),f135(x1002,x1003))
% 0.81/0.99 [101]~E(x1011,x1012)+E(f135(x1013,x1011),f135(x1013,x1012))
% 0.81/0.99 [102]~E(x1021,x1022)+E(f112(x1021,x1023),f112(x1022,x1023))
% 0.81/0.99 [103]~E(x1031,x1032)+E(f112(x1033,x1031),f112(x1033,x1032))
% 0.81/0.99 [104]~E(x1041,x1042)+E(f102(x1041,x1043),f102(x1042,x1043))
% 0.81/0.99 [105]~E(x1051,x1052)+E(f102(x1053,x1051),f102(x1053,x1052))
% 0.81/0.99 [106]~E(x1061,x1062)+E(f158(x1061,x1063),f158(x1062,x1063))
% 0.81/0.99 [107]~E(x1071,x1072)+E(f158(x1073,x1071),f158(x1073,x1072))
% 0.81/0.99 [108]~E(x1081,x1082)+E(f225(x1081,x1083),f225(x1082,x1083))
% 0.81/0.99 [109]~E(x1091,x1092)+E(f225(x1093,x1091),f225(x1093,x1092))
% 0.81/0.99 [110]~E(x1101,x1102)+E(f145(x1101,x1103),f145(x1102,x1103))
% 0.81/0.99 [111]~E(x1111,x1112)+E(f145(x1113,x1111),f145(x1113,x1112))
% 0.81/0.99 [112]~E(x1121,x1122)+E(f226(x1121,x1123),f226(x1122,x1123))
% 0.81/0.99 [113]~E(x1131,x1132)+E(f226(x1133,x1131),f226(x1133,x1132))
% 0.81/0.99 [114]~E(x1141,x1142)+E(f121(x1141,x1143),f121(x1142,x1143))
% 0.81/0.99 [115]~E(x1151,x1152)+E(f121(x1153,x1151),f121(x1153,x1152))
% 0.81/0.99 [116]~E(x1161,x1162)+E(f115(x1161,x1163),f115(x1162,x1163))
% 0.81/0.99 [117]~E(x1171,x1172)+E(f115(x1173,x1171),f115(x1173,x1172))
% 0.81/0.99 [118]~E(x1181,x1182)+E(f160(x1181,x1183),f160(x1182,x1183))
% 0.81/0.99 [119]~E(x1191,x1192)+E(f160(x1193,x1191),f160(x1193,x1192))
% 0.81/0.99 [120]~E(x1201,x1202)+E(f164(x1201,x1203),f164(x1202,x1203))
% 0.81/0.99 [121]~E(x1211,x1212)+E(f164(x1213,x1211),f164(x1213,x1212))
% 0.81/0.99 [122]~E(x1221,x1222)+E(f132(x1221,x1223),f132(x1222,x1223))
% 0.81/0.99 [123]~E(x1231,x1232)+E(f132(x1233,x1231),f132(x1233,x1232))
% 0.81/0.99 [124]~E(x1241,x1242)+E(f175(x1241,x1243),f175(x1242,x1243))
% 0.81/0.99 [125]~E(x1251,x1252)+E(f175(x1253,x1251),f175(x1253,x1252))
% 0.81/0.99 [126]~E(x1261,x1262)+E(f146(x1261,x1263),f146(x1262,x1263))
% 0.81/0.99 [127]~E(x1271,x1272)+E(f146(x1273,x1271),f146(x1273,x1272))
% 0.81/0.99 [128]~E(x1281,x1282)+E(f172(x1281,x1283),f172(x1282,x1283))
% 0.81/0.99 [129]~E(x1291,x1292)+E(f172(x1293,x1291),f172(x1293,x1292))
% 0.81/0.99 [130]~E(x1301,x1302)+E(f205(x1301),f205(x1302))
% 0.81/0.99 [131]~E(x1311,x1312)+E(f186(x1311,x1313),f186(x1312,x1313))
% 0.81/0.99 [132]~E(x1321,x1322)+E(f186(x1323,x1321),f186(x1323,x1322))
% 0.81/0.99 [133]~E(x1331,x1332)+E(f236(x1331,x1333),f236(x1332,x1333))
% 0.81/0.99 [134]~E(x1341,x1342)+E(f236(x1343,x1341),f236(x1343,x1342))
% 0.81/0.99 [135]~E(x1351,x1352)+E(f204(x1351),f204(x1352))
% 0.81/0.99 [136]~E(x1361,x1362)+E(f206(x1361),f206(x1362))
% 0.81/0.99 [137]~E(x1371,x1372)+E(f136(x1371,x1373),f136(x1372,x1373))
% 0.81/0.99 [138]~E(x1381,x1382)+E(f136(x1383,x1381),f136(x1383,x1382))
% 0.81/0.99 [139]~E(x1391,x1392)+E(f202(x1391),f202(x1392))
% 0.81/0.99 [140]~E(x1401,x1402)+E(f97(x1401,x1403),f97(x1402,x1403))
% 0.81/0.99 [141]~E(x1411,x1412)+E(f97(x1413,x1411),f97(x1413,x1412))
% 0.81/0.99 [142]~E(x1421,x1422)+E(f69(x1421,x1423),f69(x1422,x1423))
% 0.81/0.99 [143]~E(x1431,x1432)+E(f69(x1433,x1431),f69(x1433,x1432))
% 0.81/0.99 [144]~E(x1441,x1442)+E(f147(x1441,x1443),f147(x1442,x1443))
% 0.81/0.99 [145]~E(x1451,x1452)+E(f147(x1453,x1451),f147(x1453,x1452))
% 0.81/0.99 [146]~E(x1461,x1462)+E(f213(x1461),f213(x1462))
% 0.81/0.99 [147]~E(x1471,x1472)+E(f235(x1471,x1473),f235(x1472,x1473))
% 0.81/0.99 [148]~E(x1481,x1482)+E(f235(x1483,x1481),f235(x1483,x1482))
% 0.81/0.99 [149]~E(x1491,x1492)+E(f200(x1491),f200(x1492))
% 0.81/0.99 [150]~E(x1501,x1502)+E(f161(x1501,x1503),f161(x1502,x1503))
% 0.81/0.99 [151]~E(x1511,x1512)+E(f161(x1513,x1511),f161(x1513,x1512))
% 0.81/0.99 [152]~E(x1521,x1522)+E(f24(x1521,x1523),f24(x1522,x1523))
% 0.81/0.99 [153]~E(x1531,x1532)+E(f24(x1533,x1531),f24(x1533,x1532))
% 0.81/0.99 [154]~E(x1541,x1542)+E(f150(x1541,x1543),f150(x1542,x1543))
% 0.81/0.99 [155]~E(x1551,x1552)+E(f150(x1553,x1551),f150(x1553,x1552))
% 0.81/0.99 [156]~E(x1561,x1562)+E(f70(x1561,x1563),f70(x1562,x1563))
% 0.81/0.99 [157]~E(x1571,x1572)+E(f70(x1573,x1571),f70(x1573,x1572))
% 0.81/0.99 [158]~E(x1581,x1582)+E(f88(x1581,x1583,x1584,x1585,x1586),f88(x1582,x1583,x1584,x1585,x1586))
% 0.81/0.99 [159]~E(x1591,x1592)+E(f88(x1593,x1591,x1594,x1595,x1596),f88(x1593,x1592,x1594,x1595,x1596))
% 0.81/0.99 [160]~E(x1601,x1602)+E(f88(x1603,x1604,x1601,x1605,x1606),f88(x1603,x1604,x1602,x1605,x1606))
% 0.81/0.99 [161]~E(x1611,x1612)+E(f88(x1613,x1614,x1615,x1611,x1616),f88(x1613,x1614,x1615,x1612,x1616))
% 0.81/0.99 [162]~E(x1621,x1622)+E(f88(x1623,x1624,x1625,x1626,x1621),f88(x1623,x1624,x1625,x1626,x1622))
% 0.81/0.99 [163]~E(x1631,x1632)+E(f152(x1631,x1633),f152(x1632,x1633))
% 0.81/0.99 [164]~E(x1641,x1642)+E(f152(x1643,x1641),f152(x1643,x1642))
% 0.81/0.99 [165]~E(x1651,x1652)+E(f188(x1651,x1653),f188(x1652,x1653))
% 0.81/0.99 [166]~E(x1661,x1662)+E(f188(x1663,x1661),f188(x1663,x1662))
% 0.81/0.99 [167]~E(x1671,x1672)+E(f227(x1671,x1673),f227(x1672,x1673))
% 0.81/0.99 [168]~E(x1681,x1682)+E(f227(x1683,x1681),f227(x1683,x1682))
% 0.81/0.99 [169]~E(x1691,x1692)+E(f84(x1691,x1693,x1694,x1695,x1696),f84(x1692,x1693,x1694,x1695,x1696))
% 0.81/0.99 [170]~E(x1701,x1702)+E(f84(x1703,x1701,x1704,x1705,x1706),f84(x1703,x1702,x1704,x1705,x1706))
% 0.81/0.99 [171]~E(x1711,x1712)+E(f84(x1713,x1714,x1711,x1715,x1716),f84(x1713,x1714,x1712,x1715,x1716))
% 0.81/0.99 [172]~E(x1721,x1722)+E(f84(x1723,x1724,x1725,x1721,x1726),f84(x1723,x1724,x1725,x1722,x1726))
% 0.81/0.99 [173]~E(x1731,x1732)+E(f84(x1733,x1734,x1735,x1736,x1731),f84(x1733,x1734,x1735,x1736,x1732))
% 0.81/0.99 [174]~E(x1741,x1742)+E(f197(x1741),f197(x1742))
% 0.81/0.99 [175]~E(x1751,x1752)+E(f198(x1751),f198(x1752))
% 0.81/0.99 [176]~E(x1761,x1762)+E(f187(x1761,x1763),f187(x1762,x1763))
% 0.81/0.99 [177]~E(x1771,x1772)+E(f187(x1773,x1771),f187(x1773,x1772))
% 0.81/0.99 [178]~E(x1781,x1782)+E(f93(x1781),f93(x1782))
% 0.81/0.99 [179]~E(x1791,x1792)+E(f238(x1791,x1793),f238(x1792,x1793))
% 0.81/0.99 [180]~E(x1801,x1802)+E(f238(x1803,x1801),f238(x1803,x1802))
% 0.81/0.99 [181]~E(x1811,x1812)+E(f106(x1811,x1813),f106(x1812,x1813))
% 0.81/0.99 [182]~E(x1821,x1822)+E(f106(x1823,x1821),f106(x1823,x1822))
% 0.81/0.99 [183]~E(x1831,x1832)+E(f157(x1831,x1833),f157(x1832,x1833))
% 0.81/0.99 [184]~E(x1841,x1842)+E(f157(x1843,x1841),f157(x1843,x1842))
% 0.81/0.99 [185]~E(x1851,x1852)+E(f22(x1851,x1853),f22(x1852,x1853))
% 0.81/0.99 [186]~E(x1861,x1862)+E(f22(x1863,x1861),f22(x1863,x1862))
% 0.81/0.99 [187]~E(x1871,x1872)+E(f103(x1871,x1873),f103(x1872,x1873))
% 0.81/0.99 [188]~E(x1881,x1882)+E(f103(x1883,x1881),f103(x1883,x1882))
% 0.81/0.99 [189]~E(x1891,x1892)+E(f137(x1891,x1893),f137(x1892,x1893))
% 0.81/0.99 [190]~E(x1901,x1902)+E(f137(x1903,x1901),f137(x1903,x1902))
% 0.81/0.99 [191]~E(x1911,x1912)+E(f62(x1911),f62(x1912))
% 0.81/0.99 [192]~E(x1921,x1922)+E(f23(x1921,x1923),f23(x1922,x1923))
% 0.81/0.99 [193]~E(x1931,x1932)+E(f23(x1933,x1931),f23(x1933,x1932))
% 0.81/0.99 [194]~E(x1941,x1942)+E(f111(x1941,x1943),f111(x1942,x1943))
% 0.81/0.99 [195]~E(x1951,x1952)+E(f111(x1953,x1951),f111(x1953,x1952))
% 0.81/0.99 [196]~E(x1961,x1962)+E(f109(x1961,x1963),f109(x1962,x1963))
% 0.81/0.99 [197]~E(x1971,x1972)+E(f109(x1973,x1971),f109(x1973,x1972))
% 0.81/0.99 [198]~E(x1981,x1982)+E(f237(x1981,x1983),f237(x1982,x1983))
% 0.81/0.99 [199]~E(x1991,x1992)+E(f237(x1993,x1991),f237(x1993,x1992))
% 0.81/0.99 [200]~E(x2001,x2002)+E(f203(x2001),f203(x2002))
% 0.81/0.99 [201]~E(x2011,x2012)+E(f107(x2011,x2013),f107(x2012,x2013))
% 0.81/0.99 [202]~E(x2021,x2022)+E(f107(x2023,x2021),f107(x2023,x2022))
% 0.81/0.99 [203]~E(x2031,x2032)+E(f193(x2031),f193(x2032))
% 0.81/0.99 [204]~E(x2041,x2042)+E(f120(x2041,x2043),f120(x2042,x2043))
% 0.81/0.99 [205]~E(x2051,x2052)+E(f120(x2053,x2051),f120(x2053,x2052))
% 0.81/0.99 [206]~E(x2061,x2062)+E(f25(x2061,x2063),f25(x2062,x2063))
% 0.81/0.99 [207]~E(x2071,x2072)+E(f25(x2073,x2071),f25(x2073,x2072))
% 0.81/0.99 [208]~E(x2081,x2082)+E(f113(x2081,x2083),f113(x2082,x2083))
% 0.81/0.99 [209]~E(x2091,x2092)+E(f113(x2093,x2091),f113(x2093,x2092))
% 0.81/0.99 [210]~E(x2101,x2102)+E(f129(x2101,x2103),f129(x2102,x2103))
% 0.81/0.99 [211]~E(x2111,x2112)+E(f129(x2113,x2111),f129(x2113,x2112))
% 0.81/0.99 [212]~E(x2121,x2122)+E(f207(x2121),f207(x2122))
% 0.81/0.99 [213]~E(x2131,x2132)+E(f122(x2131,x2133),f122(x2132,x2133))
% 0.81/0.99 [214]~E(x2141,x2142)+E(f122(x2143,x2141),f122(x2143,x2142))
% 0.81/0.99 [215]~E(x2151,x2152)+E(f32(x2151,x2153),f32(x2152,x2153))
% 0.81/0.99 [216]~E(x2161,x2162)+E(f32(x2163,x2161),f32(x2163,x2162))
% 0.81/0.99 [217]~E(x2171,x2172)+E(f99(x2171,x2173),f99(x2172,x2173))
% 0.81/0.99 [218]~E(x2181,x2182)+E(f99(x2183,x2181),f99(x2183,x2182))
% 0.81/0.99 [219]~E(x2191,x2192)+E(f72(x2191,x2193,x2194,x2195,x2196,x2197),f72(x2192,x2193,x2194,x2195,x2196,x2197))
% 0.81/0.99 [220]~E(x2201,x2202)+E(f72(x2203,x2201,x2204,x2205,x2206,x2207),f72(x2203,x2202,x2204,x2205,x2206,x2207))
% 0.81/0.99 [221]~E(x2211,x2212)+E(f72(x2213,x2214,x2211,x2215,x2216,x2217),f72(x2213,x2214,x2212,x2215,x2216,x2217))
% 0.81/0.99 [222]~E(x2221,x2222)+E(f72(x2223,x2224,x2225,x2221,x2226,x2227),f72(x2223,x2224,x2225,x2222,x2226,x2227))
% 0.81/0.99 [223]~E(x2231,x2232)+E(f72(x2233,x2234,x2235,x2236,x2231,x2237),f72(x2233,x2234,x2235,x2236,x2232,x2237))
% 0.81/0.99 [224]~E(x2241,x2242)+E(f72(x2243,x2244,x2245,x2246,x2247,x2241),f72(x2243,x2244,x2245,x2246,x2247,x2242))
% 0.81/0.99 [225]~E(x2251,x2252)+E(f229(x2251,x2253),f229(x2252,x2253))
% 0.81/0.99 [226]~E(x2261,x2262)+E(f229(x2263,x2261),f229(x2263,x2262))
% 0.81/0.99 [227]~E(x2271,x2272)+E(f81(x2271),f81(x2272))
% 0.81/0.99 [228]~E(x2281,x2282)+E(f98(x2281,x2283),f98(x2282,x2283))
% 0.81/0.99 [229]~E(x2291,x2292)+E(f98(x2293,x2291),f98(x2293,x2292))
% 0.81/0.99 [230]~E(x2301,x2302)+E(f148(x2301,x2303),f148(x2302,x2303))
% 0.81/0.99 [231]~E(x2311,x2312)+E(f148(x2313,x2311),f148(x2313,x2312))
% 0.81/0.99 [232]~E(x2321,x2322)+E(f30(x2321,x2323),f30(x2322,x2323))
% 0.81/0.99 [233]~E(x2331,x2332)+E(f30(x2333,x2331),f30(x2333,x2332))
% 0.81/0.99 [234]~E(x2341,x2342)+E(f208(x2341),f208(x2342))
% 0.81/0.99 [235]~E(x2351,x2352)+E(f80(x2351,x2353),f80(x2352,x2353))
% 0.81/0.99 [236]~E(x2361,x2362)+E(f80(x2363,x2361),f80(x2363,x2362))
% 0.81/0.99 [237]~E(x2371,x2372)+E(f83(x2371,x2373,x2374,x2375),f83(x2372,x2373,x2374,x2375))
% 0.81/0.99 [238]~E(x2381,x2382)+E(f83(x2383,x2381,x2384,x2385),f83(x2383,x2382,x2384,x2385))
% 0.81/0.99 [239]~E(x2391,x2392)+E(f83(x2393,x2394,x2391,x2395),f83(x2393,x2394,x2392,x2395))
% 0.81/0.99 [240]~E(x2401,x2402)+E(f83(x2403,x2404,x2405,x2401),f83(x2403,x2404,x2405,x2402))
% 0.81/0.99 [241]~E(x2411,x2412)+E(f31(x2411,x2413),f31(x2412,x2413))
% 0.81/0.99 [242]~E(x2421,x2422)+E(f31(x2423,x2421),f31(x2423,x2422))
% 0.81/0.99 [243]~E(x2431,x2432)+E(f173(x2431,x2433),f173(x2432,x2433))
% 0.81/0.99 [244]~E(x2441,x2442)+E(f173(x2443,x2441),f173(x2443,x2442))
% 0.81/0.99 [245]~E(x2451,x2452)+E(f55(x2451,x2453),f55(x2452,x2453))
% 0.81/0.99 [246]~E(x2461,x2462)+E(f55(x2463,x2461),f55(x2463,x2462))
% 0.81/0.99 [247]~E(x2471,x2472)+E(f139(x2471,x2473),f139(x2472,x2473))
% 0.81/0.99 [248]~E(x2481,x2482)+E(f139(x2483,x2481),f139(x2483,x2482))
% 0.81/0.99 [249]~E(x2491,x2492)+E(f61(x2491),f61(x2492))
% 0.81/0.99 [250]~E(x2501,x2502)+E(f78(x2501,x2503),f78(x2502,x2503))
% 0.81/0.99 [251]~E(x2511,x2512)+E(f78(x2513,x2511),f78(x2513,x2512))
% 0.81/0.99 [252]~E(x2521,x2522)+E(f230(x2521,x2523),f230(x2522,x2523))
% 0.81/0.99 [253]~E(x2531,x2532)+E(f230(x2533,x2531),f230(x2533,x2532))
% 0.81/0.99 [254]~E(x2541,x2542)+E(f60(x2541),f60(x2542))
% 0.81/0.99 [255]~E(x2551,x2552)+E(f68(x2551),f68(x2552))
% 0.81/0.99 [256]~E(x2561,x2562)+E(f210(x2561),f210(x2562))
% 0.81/0.99 [257]~E(x2571,x2572)+E(f228(x2571,x2573),f228(x2572,x2573))
% 0.81/0.99 [258]~E(x2581,x2582)+E(f228(x2583,x2581),f228(x2583,x2582))
% 0.81/0.99 [259]~E(x2591,x2592)+E(f86(x2591,x2593,x2594,x2595,x2596,x2597),f86(x2592,x2593,x2594,x2595,x2596,x2597))
% 0.81/0.99 [260]~E(x2601,x2602)+E(f86(x2603,x2601,x2604,x2605,x2606,x2607),f86(x2603,x2602,x2604,x2605,x2606,x2607))
% 0.81/0.99 [261]~E(x2611,x2612)+E(f86(x2613,x2614,x2611,x2615,x2616,x2617),f86(x2613,x2614,x2612,x2615,x2616,x2617))
% 0.81/0.99 [262]~E(x2621,x2622)+E(f86(x2623,x2624,x2625,x2621,x2626,x2627),f86(x2623,x2624,x2625,x2622,x2626,x2627))
% 0.81/0.99 [263]~E(x2631,x2632)+E(f86(x2633,x2634,x2635,x2636,x2631,x2637),f86(x2633,x2634,x2635,x2636,x2632,x2637))
% 0.81/0.99 [264]~E(x2641,x2642)+E(f86(x2643,x2644,x2645,x2646,x2647,x2641),f86(x2643,x2644,x2645,x2646,x2647,x2642))
% 0.81/0.99 [265]~E(x2651,x2652)+E(f201(x2651),f201(x2652))
% 0.81/0.99 [266]~E(x2661,x2662)+E(f189(x2661,x2663),f189(x2662,x2663))
% 0.81/0.99 [267]~E(x2671,x2672)+E(f189(x2673,x2671),f189(x2673,x2672))
% 0.81/0.99 [268]~E(x2681,x2682)+E(f76(x2681),f76(x2682))
% 0.81/0.99 [269]~E(x2691,x2692)+E(f65(x2691),f65(x2692))
% 0.81/0.99 [270]~E(x2701,x2702)+E(f87(x2701),f87(x2702))
% 0.81/0.99 [271]~E(x2711,x2712)+E(f110(x2711,x2713),f110(x2712,x2713))
% 0.81/0.99 [272]~E(x2721,x2722)+E(f110(x2723,x2721),f110(x2723,x2722))
% 0.81/0.99 [273]~E(x2731,x2732)+E(f181(x2731,x2733),f181(x2732,x2733))
% 0.81/0.99 [274]~E(x2741,x2742)+E(f181(x2743,x2741),f181(x2743,x2742))
% 0.81/0.99 [275]~E(x2751,x2752)+E(f63(x2751),f63(x2752))
% 0.81/0.99 [276]~E(x2761,x2762)+E(f64(x2761),f64(x2762))
% 0.81/0.99 [277]~E(x2771,x2772)+E(f67(x2771,x2773,x2774,x2775),f67(x2772,x2773,x2774,x2775))
% 0.81/0.99 [278]~E(x2781,x2782)+E(f67(x2783,x2781,x2784,x2785),f67(x2783,x2782,x2784,x2785))
% 0.81/0.99 [279]~E(x2791,x2792)+E(f67(x2793,x2794,x2791,x2795),f67(x2793,x2794,x2792,x2795))
% 0.81/0.99 [280]~E(x2801,x2802)+E(f67(x2803,x2804,x2805,x2801),f67(x2803,x2804,x2805,x2802))
% 0.81/0.99 [281]~E(x2811,x2812)+E(f239(x2811,x2813),f239(x2812,x2813))
% 0.81/0.99 [282]~E(x2821,x2822)+E(f239(x2823,x2821),f239(x2823,x2822))
% 0.81/0.99 [283]~E(x2831,x2832)+E(f95(x2831,x2833),f95(x2832,x2833))
% 0.81/0.99 [284]~E(x2841,x2842)+E(f95(x2843,x2841),f95(x2843,x2842))
% 0.81/0.99 [285]~E(x2851,x2852)+E(f246(x2851),f246(x2852))
% 0.81/0.99 [286]~E(x2861,x2862)+E(f222(x2861,x2863),f222(x2862,x2863))
% 0.81/0.99 [287]~E(x2871,x2872)+E(f222(x2873,x2871),f222(x2873,x2872))
% 0.81/0.99 [288]~E(x2881,x2882)+E(f156(x2881,x2883),f156(x2882,x2883))
% 0.81/0.99 [289]~E(x2891,x2892)+E(f156(x2893,x2891),f156(x2893,x2892))
% 0.81/0.99 [290]~E(x2901,x2902)+E(f105(x2901,x2903),f105(x2902,x2903))
% 0.81/0.99 [291]~E(x2911,x2912)+E(f105(x2913,x2911),f105(x2913,x2912))
% 0.81/0.99 [292]~E(x2921,x2922)+E(f82(x2921,x2923),f82(x2922,x2923))
% 0.81/0.99 [293]~E(x2931,x2932)+E(f82(x2933,x2931),f82(x2933,x2932))
% 0.81/0.99 [294]~E(x2941,x2942)+E(f124(x2941,x2943),f124(x2942,x2943))
% 0.81/0.99 [295]~E(x2951,x2952)+E(f124(x2953,x2951),f124(x2953,x2952))
% 0.81/0.99 [296]~E(x2961,x2962)+E(f123(x2961,x2963),f123(x2962,x2963))
% 0.81/0.99 [297]~E(x2971,x2972)+E(f123(x2973,x2971),f123(x2973,x2972))
% 0.81/0.99 [298]~E(x2981,x2982)+E(f231(x2981,x2983),f231(x2982,x2983))
% 0.81/0.99 [299]~E(x2991,x2992)+E(f231(x2993,x2991),f231(x2993,x2992))
% 0.81/0.99 [300]~E(x3001,x3002)+E(f224(x3001,x3003),f224(x3002,x3003))
% 0.81/0.99 [301]~E(x3011,x3012)+E(f224(x3013,x3011),f224(x3013,x3012))
% 0.81/0.99 [302]~E(x3021,x3022)+E(f162(x3021,x3023),f162(x3022,x3023))
% 0.81/0.99 [303]~E(x3031,x3032)+E(f162(x3033,x3031),f162(x3033,x3032))
% 0.81/0.99 [304]~E(x3041,x3042)+E(f223(x3041,x3043),f223(x3042,x3043))
% 0.81/0.99 [305]~E(x3051,x3052)+E(f223(x3053,x3051),f223(x3053,x3052))
% 0.81/0.99 [306]~E(x3061,x3062)+E(f138(x3061,x3063),f138(x3062,x3063))
% 0.81/0.99 [307]~E(x3071,x3072)+E(f138(x3073,x3071),f138(x3073,x3072))
% 0.81/0.99 [308]~E(x3081,x3082)+E(f209(x3081),f209(x3082))
% 0.81/0.99 [309]~E(x3091,x3092)+E(f71(x3091,x3093),f71(x3092,x3093))
% 0.81/0.99 [310]~E(x3101,x3102)+E(f71(x3103,x3101),f71(x3103,x3102))
% 0.81/0.99 [311]~E(x3111,x3112)+E(f232(x3111,x3113),f232(x3112,x3113))
% 0.81/0.99 [312]~E(x3121,x3122)+E(f232(x3123,x3121),f232(x3123,x3122))
% 0.81/0.99 [313]~E(x3131,x3132)+E(f212(x3131),f212(x3132))
% 0.81/0.99 [314]~E(x3141,x3142)+E(f149(x3141,x3143),f149(x3142,x3143))
% 0.81/0.99 [315]~E(x3151,x3152)+E(f149(x3153,x3151),f149(x3153,x3152))
% 0.81/0.99 [316]~E(x3161,x3162)+E(f66(x3161),f66(x3162))
% 0.81/0.99 [317]~E(x3171,x3172)+E(f233(x3171,x3173),f233(x3172,x3173))
% 0.81/0.99 [318]~E(x3181,x3182)+E(f233(x3183,x3181),f233(x3183,x3182))
% 0.81/0.99 [319]~E(x3191,x3192)+E(f77(x3191,x3193),f77(x3192,x3193))
% 0.81/0.99 [320]~E(x3201,x3202)+E(f77(x3203,x3201),f77(x3203,x3202))
% 0.81/0.99 [321]~E(x3211,x3212)+E(f73(x3211,x3213),f73(x3212,x3213))
% 0.81/0.99 [322]~E(x3221,x3222)+E(f73(x3223,x3221),f73(x3223,x3222))
% 0.81/0.99 [323]~E(x3231,x3232)+E(f211(x3231),f211(x3232))
% 0.81/0.99 [324]~E(x3241,x3242)+E(f166(x3241,x3243),f166(x3242,x3243))
% 0.81/0.99 [325]~E(x3251,x3252)+E(f166(x3253,x3251),f166(x3253,x3252))
% 0.81/0.99 [326]~E(x3261,x3262)+E(f75(x3261),f75(x3262))
% 0.81/0.99 [327]~E(x3271,x3272)+E(f104(x3271,x3273),f104(x3272,x3273))
% 0.81/0.99 [328]~E(x3281,x3282)+E(f104(x3283,x3281),f104(x3283,x3282))
% 0.81/0.99 [329]~E(x3291,x3292)+E(f165(x3291,x3293),f165(x3292,x3293))
% 0.81/0.99 [330]~E(x3301,x3302)+E(f165(x3303,x3301),f165(x3303,x3302))
% 0.81/0.99 [331]~E(x3311,x3312)+E(f184(x3311,x3313),f184(x3312,x3313))
% 0.81/0.99 [332]~E(x3321,x3322)+E(f184(x3323,x3321),f184(x3323,x3322))
% 0.81/0.99 [333]~E(x3331,x3332)+E(f168(x3331,x3333),f168(x3332,x3333))
% 0.81/0.99 [334]~E(x3341,x3342)+E(f168(x3343,x3341),f168(x3343,x3342))
% 0.81/0.99 [335]~E(x3351,x3352)+E(f163(x3351,x3353),f163(x3352,x3353))
% 0.81/0.99 [336]~E(x3361,x3362)+E(f163(x3363,x3361),f163(x3363,x3362))
% 0.81/0.99 [337]~E(x3371,x3372)+E(f151(x3371,x3373),f151(x3372,x3373))
% 0.81/0.99 [338]~E(x3381,x3382)+E(f151(x3383,x3381),f151(x3383,x3382))
% 0.81/0.99 [339]~E(x3391,x3392)+E(f79(x3391,x3393),f79(x3392,x3393))
% 0.81/0.99 [340]~E(x3401,x3402)+E(f79(x3403,x3401),f79(x3403,x3402))
% 0.81/0.99 [341]~E(x3411,x3412)+E(f74(x3411,x3413),f74(x3412,x3413))
% 0.81/0.99 [342]~E(x3421,x3422)+E(f74(x3423,x3421),f74(x3423,x3422))
% 0.81/0.99 [343]~E(x3431,x3432)+E(f234(x3431,x3433),f234(x3432,x3433))
% 0.81/0.99 [344]~E(x3441,x3442)+E(f234(x3443,x3441),f234(x3443,x3442))
% 0.81/0.99 [345]~E(x3451,x3452)+E(f85(x3451,x3453,x3454,x3455,x3456,x3457),f85(x3452,x3453,x3454,x3455,x3456,x3457))
% 0.81/0.99 [346]~E(x3461,x3462)+E(f85(x3463,x3461,x3464,x3465,x3466,x3467),f85(x3463,x3462,x3464,x3465,x3466,x3467))
% 0.81/0.99 [347]~E(x3471,x3472)+E(f85(x3473,x3474,x3471,x3475,x3476,x3477),f85(x3473,x3474,x3472,x3475,x3476,x3477))
% 0.81/0.99 [348]~E(x3481,x3482)+E(f85(x3483,x3484,x3485,x3481,x3486,x3487),f85(x3483,x3484,x3485,x3482,x3486,x3487))
% 0.81/0.99 [349]~E(x3491,x3492)+E(f85(x3493,x3494,x3495,x3496,x3491,x3497),f85(x3493,x3494,x3495,x3496,x3492,x3497))
% 0.81/0.99 [350]~E(x3501,x3502)+E(f85(x3503,x3504,x3505,x3506,x3507,x3501),f85(x3503,x3504,x3505,x3506,x3507,x3502))
% 0.81/0.99 [351]~E(x3511,x3512)+E(f153(x3511,x3513),f153(x3512,x3513))
% 0.81/0.99 [352]~E(x3521,x3522)+E(f153(x3523,x3521),f153(x3523,x3522))
% 0.81/0.99 [353]~P1(x3531)+P1(x3532)+~E(x3531,x3532)
% 0.81/0.99 [354]~P5(x3541)+P5(x3542)+~E(x3541,x3542)
% 0.81/0.99 [355]~P4(x3551)+P4(x3552)+~E(x3551,x3552)
% 0.81/0.99 [356]~P2(x3561)+P2(x3562)+~E(x3561,x3562)
% 0.81/0.99 [357]~P6(x3571)+P6(x3572)+~E(x3571,x3572)
% 0.81/0.99 [358]~P9(x3581)+P9(x3582)+~E(x3581,x3582)
% 0.81/0.99 [359]~P8(x3591)+P8(x3592)+~E(x3591,x3592)
% 0.81/0.99 [360]~P10(x3601)+P10(x3602)+~E(x3601,x3602)
% 0.81/0.99 [361]~P3(x3611)+P3(x3612)+~E(x3611,x3612)
% 0.81/0.99 [362]~P7(x3621)+P7(x3622)+~E(x3621,x3622)
% 0.81/0.99
% 0.81/0.99 %-------------------------------------------
% 0.81/0.99 cnf(818,plain,
% 0.81/0.99 ($false),
% 0.81/0.99 inference(scs_inference,[],[481,466,802]),
% 0.81/0.99 ['proof']).
% 0.81/0.99 % SZS output end Proof
% 0.81/0.99 % Total time :0.060000s
%------------------------------------------------------------------------------