%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SCT171+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:55:36 AM UTC 2026
% Result : Theorem 0.67s 0.96s
% Output : Proof 0.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA,axiom,
is_fun631676118l_bool(arrow_1212118780le_IIA),
file('theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA) ).
fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin,axiom,
is_fun432044380l_bool(arrow_1239002508le_Lin),
file('theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin) ).
fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf,axiom,
is_fun959573582l_bool(arrow_413697182e_Prof),
file('theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf) ).
fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity,axiom,
is_fun631676118l_bool(arrow_467566751nimity),
file('theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity) ).
fof(gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__,axiom,
! [B_1_1,B_2_1] : is_fun917378774i_bool(cOMBC_277798809t_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__) ).
fof(gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc,axiom,
! [B_1_1,B_2_1] :
( is_fun917378774i_bool(B_2_1)
=> is_bool(inj_on24934938di_nat(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc) ).
fof(gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_,axiom,
! [B_1_1,B_2_1] :
( is_fun917378774i_bool(B_1_1)
=> is_fun959573582l_bool(pi_Arr688267935t_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_) ).
fof(gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin,axiom,
! [B_1_1,B_2_1] :
( is_fun959573582l_bool(B_1_1)
=> is_fun631676118l_bool(pi_fun433100839t_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin) ).
fof(gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa,axiom,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(B_1_1)
=> is_fun432044380l_bool(pi_Pro2135156861t_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa) ).
fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt,axiom,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
file('theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt) ).
fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,axiom,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
file('theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).
fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
file('theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq,axiom,
! [B_1_1,B_2_1] :
( is_fun917378774i_bool(B_1_1)
=> is_fun1016509681e_indi(hilber1792103167di_nat(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool,axiom,
is_bool(top_top_bool),
file('theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____,axiom,
is_fun917378774i_bool(top_to1256827021i_bool),
file('theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira,axiom,
is_fun959573582l_bool(top_to1194196741l_bool),
file('theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde,axiom,
is_fun631676118l_bool(top_to40512653l_bool),
file('theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord,axiom,
is_fun432044380l_bool(top_to2005687013l_bool),
file('theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir,axiom,
is_fun282293932t_bool(top_to2034604131t_bool),
file('theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir) ).
fof(gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,axiom,
! [B_1_1] :
( is_fun917378774i_bool(B_1_1)
=> is_fun917378774i_bool(collec45183100e_indi(B_1_1)) ),
file('theBenchmark.p',gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,axiom,
! [B_1_1] :
( is_fun959573582l_bool(B_1_1)
=> is_fun959573582l_bool(collec1580242420t_bool(B_1_1)) ),
file('theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx,axiom,
! [B_1_1] :
( is_fun631676118l_bool(B_1_1)
=> is_fun631676118l_bool(collec1520786044t_bool(B_1_1)) ),
file('theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew,axiom,
! [B_1_1] :
( is_fun432044380l_bool(B_1_1)
=> is_fun432044380l_bool(collec874260222t_bool(B_1_1)) ),
file('theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,axiom,
! [B_1_1] :
( is_fun282293932t_bool(B_1_1)
=> is_fun282293932t_bool(collec1711870802le_alt(B_1_1)) ),
file('theBenchmark.p',gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O) ).
fof(gsy_c_fFalse,axiom,
is_bool(fFalse),
file('theBenchmark.p',gsy_c_fFalse) ).
fof(gsy_c_fTrue,axiom,
is_bool(fTrue),
file('theBenchmark.p',gsy_c_fTrue) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc,axiom,
! [B_1_1,B_2_1] :
( is_Arr553848933le_alt(B_2_1)
=> is_fun282293932t_bool(hAPP_A619995676t_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O,axiom,
! [B_1_1,B_2_1] :
( ( is_Arr625519182e_indi(B_2_1)
& is_fun917378774i_bool(B_1_1) )
=> is_bool(hAPP_A1466488369i_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It,axiom,
! [B_1_1,B_2_1] :
( is_Arr625519182e_indi(B_2_1)
=> is_fun959573582l_bool(hAPP_A1912483895l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001,axiom,
! [B_1_1,B_2_1] :
( is_Arr625519182e_indi(B_2_1)
=> is_fun631676118l_bool(hAPP_A1964572607l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002,axiom,
! [B_1_1,B_2_1] :
( is_Arr625519182e_indi(B_2_1)
=> is_fun432044380l_bool(hAPP_A1944296755l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003,axiom,
! [B_1_1,B_2_1] :
( is_Arr625519182e_indi(B_2_1)
=> is_fun282293932t_bool(hAPP_A1374816149t_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] :
( is_bool(B_2_1)
=> is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew,axiom,
! [B_1_1,B_2_1] :
( is_bool(B_2_1)
=> is_fun917378774i_bool(hAPP_b1018211123i_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
! [B_1_1,B_2_1] :
( is_bool(B_2_1)
=> is_fun959573582l_bool(hAPP_b1719629739l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___,axiom,
! [B_1_1,B_2_1] :
( is_bool(B_2_1)
=> is_fun631676118l_bool(hAPP_b990649139l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__,axiom,
! [B_1_1,B_2_1] :
( is_bool(B_2_1)
=> is_fun432044380l_bool(hAPP_b1965422783l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
! [B_1_1,B_2_1] :
( is_bool(B_2_1)
=> is_fun282293932t_bool(hAPP_b1024867081t_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,axiom,
! [B_1_1,B_2_1] :
( is_fun1016509681e_indi(B_1_1)
=> is_Arr625519182e_indi(hAPP_n385347014e_indi(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_,axiom,
! [B_1_1,B_2_1] :
( is_fun917378774i_bool(B_2_1)
=> is_bool(hAPP_f919661787l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004,axiom,
! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005,axiom,
! [B_1_1,B_2_1] :
( is_fun959573582l_bool(B_1_1)
=> is_bool(hAPP_f1636546729l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006,axiom,
! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_f749892423i_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007,axiom,
! [B_1_1,B_2_1] : is_fun432044380l_bool(hAPP_f861484971l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008,hypothesis,
! [B_1_1,B_2_1] : is_fun282293932t_bool(hAPP_f695124765t_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008) ).
fof(gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f387058535l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f204273237l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1012384989l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010,axiom,
! [B_1_1,B_2_1] :
( is_fun959573582l_bool(B_2_1)
=> is_bool(hAPP_f453661011l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011,axiom,
! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_f618619045e_indi(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012,axiom,
! [B_1_1,B_2_1] :
( is_fun631676118l_bool(B_1_1)
=> is_bool(hAPP_f785543729l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013,axiom,
! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_f355113919i_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f483434675l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1018082273l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1271180905l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1550037191l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1895985727l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f234874197l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f500145249l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016,axiom,
! [B_1_1,B_2_1] :
( is_fun631676118l_bool(B_2_1)
=> is_bool(hAPP_f213304539l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1766869725l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1279200745l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f592909149l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f526292585l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f460310451l_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019,axiom,
! [B_1_1,B_2_1] :
( is_fun432044380l_bool(B_2_1)
=> is_bool(hAPP_f503012287l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,axiom,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(B_2_1)
=> is_Arr625519182e_indi(hAPP_f1659504677e_indi(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020,hypothesis,
! [B_1_1,B_2_1] :
( ( is_fun282293932t_bool(B_2_1)
& is_fun432044380l_bool(B_1_1) )
=> is_bool(hAPP_f745298353l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021,axiom,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(B_2_1)
=> is_fun917378774i_bool(hAPP_f352490559i_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022,axiom,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(B_2_1)
=> is_fun432044380l_bool(hAPP_f2056167603l_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023,axiom,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(B_2_1)
=> is_fun282293932t_bool(hAPP_f1673487381t_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_,axiom,
! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024,axiom,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(B_1_1)
=> is_bool(hAPP_P2075002375t_bool(B_1_1,B_2_1)) ),
file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025,axiom,
! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_P907763049i_bool(B_1_1,B_2_1)),
file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025) ).
fof(gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt,hypothesis,
! [B_1_1] : is_fun432044380l_bool(member1056080916le_alt(B_1_1)),
file('theBenchmark.p',gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt) ).
fof(gsy_v_Lab____,axiom,
is_fun282293932t_bool(lab),
file('theBenchmark.p',gsy_v_Lab____) ).
fof(gsy_v_Lba____,axiom,
is_fun282293932t_bool(lba),
file('theBenchmark.p',gsy_v_Lba____) ).
fof(gsy_v_a____,axiom,
is_Arr553848933le_alt(a),
file('theBenchmark.p',gsy_v_a____) ).
fof(gsy_v_b____,axiom,
is_Arr553848933le_alt(b),
file('theBenchmark.p',gsy_v_b____) ).
fof(gsy_v_c____,hypothesis,
is_Arr553848933le_alt(c),
file('theBenchmark.p',gsy_v_c____) ).
fof(gsy_v_d____,hypothesis,
is_Arr553848933le_alt(d),
file('theBenchmark.p',gsy_v_d____) ).
fof(gsy_v_e____,axiom,
is_Arr553848933le_alt(e),
file('theBenchmark.p',gsy_v_e____) ).
fof(fact_0_assms_I3_J,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
file('theBenchmark.p',fact_0_assms_I3_J) ).
fof(fact_1_u,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
file('theBenchmark.p',fact_1_u) ).
fof(fact_2__096c_A_126_061_Ad_096,axiom,
c != d,
file('theBenchmark.p',fact_2__096c_A_126_061_Ad_096) ).
fof(fact_3__096P_A_058_AProf_096,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
file('theBenchmark.p',fact_3__096P_A_058_AProf_096) ).
fof(fact_4_in__mkbot,axiom,
! [X_2,Y_1,L,Z_1] :
( ( is_Arr553848933le_alt(Z_1)
& is_Arr553848933le_alt(Y_1)
& is_Arr553848933le_alt(X_2) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),Z_1)))
<=> ( ( X_2 != Z_1
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) )
& ( X_2 = Z_1
=> X_2 != Y_1 )
& Y_1 != Z_1 ) ) ),
file('theBenchmark.p',fact_4_in__mkbot) ).
fof(fact_5_in__mktop,axiom,
! [X_2,Y_1,L,Z_1] :
( ( is_Arr553848933le_alt(Z_1)
& is_Arr553848933le_alt(Y_1)
& is_Arr553848933le_alt(X_2) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),Z_1)))
<=> ( ( Y_1 != Z_1
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) )
& ( Y_1 = Z_1
=> X_2 != Y_1 )
& X_2 != Z_1 ) ) ),
file('theBenchmark.p',fact_5_in__mktop) ).
fof(fact_6__C2_C,axiom,
! [P_1,Pa,A_8,B_8,Aa,Ba] :
( ( is_Arr553848933le_alt(Ba)
& is_Arr553848933le_alt(Aa)
& is_Arr553848933le_alt(B_8)
& is_Arr553848933le_alt(A_8) )
=> ( Aa != Ba
=> ( A_8 != B_8
=> ( Aa != B_8
=> ( Ba != A_8
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
=> ( ! [I] :
( is_Arr625519182e_indi(I)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ) ),
file('theBenchmark.p',fact_6__C2_C) ).
fof(fact_7__C1_C,axiom,
! [P_1,Pa,A_8,B_8,Aa,Ba] :
( ( is_Arr553848933le_alt(Ba)
& is_Arr553848933le_alt(Aa)
& is_Arr553848933le_alt(B_8)
& is_Arr553848933le_alt(A_8) )
=> ( Aa != Ba
=> ( A_8 != B_8
=> ( Aa != B_8
=> ( Ba != A_8
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
=> ( ! [I] :
( is_Arr625519182e_indi(I)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ) ),
file('theBenchmark.p',fact_7__C1_C) ).
fof(fact_8__C4_C,axiom,
! [P_1,Pa,Ca,Aa,Ba] :
( ( is_Arr553848933le_alt(Ba)
& is_Arr553848933le_alt(Aa)
& is_Arr553848933le_alt(Ca) )
=> ( Aa != Ba
=> ( Ba != Ca
=> ( Aa != Ca
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
=> ( ! [I] :
( is_Arr625519182e_indi(I)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_A1374816149t_bool(P_1,I))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ) ),
file('theBenchmark.p',fact_8__C4_C) ).
fof(fact_9_pairwise__neutrality,axiom,
! [P_1,Pa,A_8,B_8,Aa,Ba] :
( ( is_Arr553848933le_alt(Ba)
& is_Arr553848933le_alt(Aa)
& is_Arr553848933le_alt(B_8)
& is_Arr553848933le_alt(A_8) )
=> ( Aa != Ba
=> ( A_8 != B_8
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
=> ( ! [I] :
( is_Arr625519182e_indi(I)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ) ),
file('theBenchmark.p',fact_9_pairwise__neutrality) ).
fof(fact_10__C3_C,axiom,
! [P_1,Pa,Aa,Ba] :
( ( is_Arr553848933le_alt(Ba)
& is_Arr553848933le_alt(Aa) )
=> ( Aa != Ba
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
=> ( ! [I] :
( is_Arr625519182e_indi(I)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_A1374816149t_bool(P_1,I))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_f695124765t_bool(f,P_1))) ) ) ) ) ) ),
file('theBenchmark.p',fact_10__C3_C) ).
fof(fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J,axiom,
! [I] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,I)))
<=> ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
=> ( ( hAPP_A588601142di_nat(h,I) != n
=> 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))) )
& ( hAPP_A588601142di_nat(h,I) = n
=> 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))) ) ) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
=> 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))) ) ) ),
file('theBenchmark.p',fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J) ).
fof(fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,h),n)))),
file('theBenchmark.p',fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0) ).
fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
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)))))),
file('theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(fact_14_PW,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
<=> 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)))))) ),
file('theBenchmark.p',fact_14_PW) ).
fof(fact_15_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2075002375t_bool(Pa,X1))
<=> ! [A_1,B_1] :
( ( is_Arr553848933le_alt(B_1)
& is_Arr553848933le_alt(A_1) )
=> hBOOL(hAPP_P2075002375t_bool(Pa,produc171383831le_alt(A_1,B_1))) ) ),
file('theBenchmark.p',fact_15_split__paired__All) ).
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,
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)),
file('theBenchmark.p',fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai) ).
fof(fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
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)))))),
file('theBenchmark.p',fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
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)))))),
file('theBenchmark.p',fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(fact_19_n_I1_J,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
file('theBenchmark.p',fact_19_n_I1_J) ).
fof(fact_20_injh,axiom,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
file('theBenchmark.p',fact_20_injh) ).
fof(fact_21_Pair__inject,axiom,
! [A_10,B_10,A_9,B_9] :
( ( is_Arr553848933le_alt(B_9)
& is_Arr553848933le_alt(A_9)
& is_Arr553848933le_alt(B_10)
& is_Arr553848933le_alt(A_10) )
=> ( produc171383831le_alt(A_10,B_10) = produc171383831le_alt(A_9,B_9)
=> ~ ( A_10 = A_9
=> B_10 != B_9 ) ) ),
file('theBenchmark.p',fact_21_Pair__inject) ).
fof(fact_22_Pair__eq,axiom,
! [Aa,Ba,A_8,B_8] :
( ( is_Arr553848933le_alt(B_8)
& is_Arr553848933le_alt(A_8)
& is_Arr553848933le_alt(Ba)
& is_Arr553848933le_alt(Aa) )
=> ( produc171383831le_alt(Aa,Ba) = produc171383831le_alt(A_8,B_8)
<=> ( Ba = B_8
& Aa = A_8 ) ) ),
file('theBenchmark.p',fact_22_Pair__eq) ).
fof(fact_23_IIA__def,axiom,
! [Fa] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,Fa))
<=> ! [X_1] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof))
=> ! [Xa] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Xa),arrow_413697182e_Prof))
=> ! [A_1,B_1] :
( ( is_Arr553848933le_alt(B_1)
& is_Arr553848933le_alt(A_1) )
=> ( ! [I] :
( is_Arr625519182e_indi(I)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(Xa,I))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,Xa))) ) ) ) ) ) ),
file('theBenchmark.p',fact_23_IIA__def) ).
fof(fact_24_unanimity__def,axiom,
! [Fa] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,Fa))
<=> ! [X_1] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof))
=> ! [A_1,B_1] :
( ( is_Arr553848933le_alt(B_1)
& is_Arr553848933le_alt(A_1) )
=> ( ! [I] :
( is_Arr625519182e_indi(I)
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I))) )
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) ) ) ) ),
file('theBenchmark.p',fact_24_unanimity__def) ).
fof(fact_25_top1I,axiom,
! [X_2] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2)),
file('theBenchmark.p',fact_25_top1I) ).
fof(fact_26_top1I,axiom,
! [X_2] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2)),
file('theBenchmark.p',fact_26_top1I) ).
fof(fact_27_top1I,axiom,
! [X_2] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2)),
file('theBenchmark.p',fact_27_top1I) ).
fof(fact_28_top1I,axiom,
! [X_2] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2)),
file('theBenchmark.p',fact_28_top1I) ).
fof(fact_29_top1I,axiom,
! [X_2] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2)),
file('theBenchmark.p',fact_29_top1I) ).
fof(fact_30_UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f387058535l_bool(member_bool(X_2),top_to1647826457l_bool)),
file('theBenchmark.p',fact_30_UNIV__I) ).
fof(fact_31_UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),top_to1256827021i_bool)),
file('theBenchmark.p',fact_31_UNIV__I) ).
fof(fact_32_UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),top_to2034604131t_bool)),
file('theBenchmark.p',fact_32_UNIV__I) ).
fof(fact_33_UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),top_to1194196741l_bool)),
file('theBenchmark.p',fact_33_UNIV__I) ).
fof(fact_34_UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),top_to40512653l_bool)),
file('theBenchmark.p',fact_34_UNIV__I) ).
fof(fact_35_UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),top_to2005687013l_bool)),
file('theBenchmark.p',fact_35_UNIV__I) ).
fof(fact_36_iso__tuple__UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f387058535l_bool(member_bool(X_2),top_to1647826457l_bool)),
file('theBenchmark.p',fact_36_iso__tuple__UNIV__I) ).
fof(fact_37_iso__tuple__UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),top_to1256827021i_bool)),
file('theBenchmark.p',fact_37_iso__tuple__UNIV__I) ).
fof(fact_38_iso__tuple__UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),top_to2034604131t_bool)),
file('theBenchmark.p',fact_38_iso__tuple__UNIV__I) ).
fof(fact_39_iso__tuple__UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),top_to1194196741l_bool)),
file('theBenchmark.p',fact_39_iso__tuple__UNIV__I) ).
fof(fact_40_iso__tuple__UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),top_to40512653l_bool)),
file('theBenchmark.p',fact_40_iso__tuple__UNIV__I) ).
fof(fact_41_iso__tuple__UNIV__I,axiom,
! [X_2] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),top_to2005687013l_bool)),
file('theBenchmark.p',fact_41_iso__tuple__UNIV__I) ).
fof(fact_42_top__apply,axiom,
! [X_2] :
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2))
<=> hBOOL(top_top_bool) ),
file('theBenchmark.p',fact_42_top__apply) ).
fof(fact_43_top__apply,axiom,
! [X_2] :
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2))
<=> hBOOL(top_top_bool) ),
file('theBenchmark.p',fact_43_top__apply) ).
fof(fact_44_top__apply,axiom,
! [X_2] :
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2))
<=> hBOOL(top_top_bool) ),
file('theBenchmark.p',fact_44_top__apply) ).
fof(fact_45_top__apply,axiom,
! [X_2] :
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2))
<=> hBOOL(top_top_bool) ),
file('theBenchmark.p',fact_45_top__apply) ).
fof(fact_46_top__apply,axiom,
! [X_2] :
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2))
<=> hBOOL(top_top_bool) ),
file('theBenchmark.p',fact_46_top__apply) ).
fof(fact_47_not__top__less,axiom,
! [Aa] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),Aa)),
file('theBenchmark.p',fact_47_not__top__less) ).
fof(fact_48_not__top__less,axiom,
! [Aa] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),Aa)),
file('theBenchmark.p',fact_48_not__top__less) ).
fof(fact_49_not__top__less,axiom,
! [Aa] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),Aa)),
file('theBenchmark.p',fact_49_not__top__less) ).
fof(fact_50_not__top__less,axiom,
! [Aa] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),Aa)),
file('theBenchmark.p',fact_50_not__top__less) ).
fof(fact_51_not__top__less,axiom,
! [Aa] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),Aa)),
file('theBenchmark.p',fact_51_not__top__less) ).
fof(fact_52_not__top__less,axiom,
! [Aa] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),Aa)),
file('theBenchmark.p',fact_52_not__top__less) ).
fof(fact_53_linorder__cases,axiom,
! [X_14,Y_13] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_14),Y_13))
=> ( X_14 != Y_13
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_14)) ) ),
file('theBenchmark.p',fact_53_linorder__cases) ).
fof(fact_54_order__less__asym,axiom,
! [X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ),
file('theBenchmark.p',fact_54_order__less__asym) ).
fof(fact_55_order__less__asym,axiom,
! [X_13,Y_12] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_12))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_13)) ),
file('theBenchmark.p',fact_55_order__less__asym) ).
fof(fact_56_xt1_I10_J,axiom,
! [Z_1,Y_1,X_2] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Z_1),Y_1))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Z_1),X_2)) ) ),
file('theBenchmark.p',fact_56_xt1_I10_J) ).
fof(fact_57_xt1_I10_J,axiom,
! [Z_2,Y_11,X_12] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_11),X_12))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),Y_11))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_12)) ) ),
file('theBenchmark.p',fact_57_xt1_I10_J) ).
fof(fact_58_order__less__trans,axiom,
! [Z_1,X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),Z_1))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Z_1)) ) ),
file('theBenchmark.p',fact_58_order__less__trans) ).
fof(fact_59_order__less__trans,axiom,
! [Z,X_11,Y_10] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_10))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_10),Z))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Z)) ) ),
file('theBenchmark.p',fact_59_order__less__trans) ).
fof(fact_60_xt1_I2_J,axiom,
! [Ca,Ba,Aa] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa))
=> ( Ba = Ca
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Aa)) ) ),
file('theBenchmark.p',fact_60_xt1_I2_J) ).
fof(fact_61_xt1_I2_J,axiom,
! [C_3,B_7,A_7] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_7),A_7))
=> ( B_7 = C_3
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_3),A_7)) ) ),
file('theBenchmark.p',fact_61_xt1_I2_J) ).
fof(fact_62_ord__less__eq__trans,axiom,
! [Ca,Aa,Ba] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba))
=> ( Ba = Ca
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ca)) ) ),
file('theBenchmark.p',fact_62_ord__less__eq__trans) ).
fof(fact_63_ord__less__eq__trans,axiom,
! [C_2,A_6,B_6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),B_6))
=> ( B_6 = C_2
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),C_2)) ) ),
file('theBenchmark.p',fact_63_ord__less__eq__trans) ).
fof(fact_64_xt1_I1_J,axiom,
! [Ca,Aa,Ba] :
( Aa = Ba
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Ba))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Aa)) ) ),
file('theBenchmark.p',fact_64_xt1_I1_J) ).
fof(fact_65_xt1_I1_J,axiom,
! [C_1,A_5,B_5] :
( A_5 = B_5
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_1),B_5))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_1),A_5)) ) ),
file('theBenchmark.p',fact_65_xt1_I1_J) ).
fof(fact_66_ord__eq__less__trans,axiom,
! [Ca,Aa,Ba] :
( Aa = Ba
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Ca))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ca)) ) ),
file('theBenchmark.p',fact_66_ord__eq__less__trans) ).
fof(fact_67_ord__eq__less__trans,axiom,
! [C,A_4,B_4] :
( A_4 = B_4
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_4),C))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_4),C)) ) ),
file('theBenchmark.p',fact_67_ord__eq__less__trans) ).
fof(fact_68_xt1_I9_J,axiom,
! [Ba,Aa] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba)) ),
file('theBenchmark.p',fact_68_xt1_I9_J) ).
fof(fact_69_xt1_I9_J,axiom,
! [B_3,A_3] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_3),A_3))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_3),B_3)) ),
file('theBenchmark.p',fact_69_xt1_I9_J) ).
fof(fact_70_order__less__asym_H,axiom,
! [Aa,Ba] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa)) ),
file('theBenchmark.p',fact_70_order__less__asym_H) ).
fof(fact_71_order__less__asym_H,axiom,
! [A_2,B_2] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_2))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_2),A_2)) ),
file('theBenchmark.p',fact_71_order__less__asym_H) ).
fof(fact_72_order__less__imp__triv,axiom,
! [Pa,X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2))
=> hBOOL(Pa) ) ),
file('theBenchmark.p',fact_72_order__less__imp__triv) ).
fof(fact_73_order__less__imp__triv,axiom,
! [Pa,X_2,Y_1] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
=> hBOOL(Pa) ) ),
file('theBenchmark.p',fact_73_order__less__imp__triv) ).
fof(fact_74_order__less__imp__not__eq2,axiom,
! [X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
=> Y_1 != X_2 ),
file('theBenchmark.p',fact_74_order__less__imp__not__eq2) ).
fof(fact_75_order__less__imp__not__eq2,axiom,
! [X_10,Y_9] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_9))
=> Y_9 != X_10 ),
file('theBenchmark.p',fact_75_order__less__imp__not__eq2) ).
fof(fact_76_order__less__imp__not__eq,axiom,
! [X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
=> X_2 != Y_1 ),
file('theBenchmark.p',fact_76_order__less__imp__not__eq) ).
fof(fact_77_order__less__imp__not__eq,axiom,
! [X_9,Y_8] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_8))
=> X_9 != Y_8 ),
file('theBenchmark.p',fact_77_order__less__imp__not__eq) ).
fof(fact_78_order__less__imp__not__less,axiom,
! [X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ),
file('theBenchmark.p',fact_78_order__less__imp__not__less) ).
fof(fact_79_order__less__imp__not__less,axiom,
! [X_8,Y_7] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),Y_7))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_7),X_8)) ),
file('theBenchmark.p',fact_79_order__less__imp__not__less) ).
fof(fact_80_order__less__not__sym,axiom,
! [X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ),
file('theBenchmark.p',fact_80_order__less__not__sym) ).
fof(fact_81_order__less__not__sym,axiom,
! [X_7,Y_6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_7),Y_6))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_6),X_7)) ),
file('theBenchmark.p',fact_81_order__less__not__sym) ).
fof(fact_82_less__imp__neq,axiom,
! [X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1))
=> X_2 != Y_1 ),
file('theBenchmark.p',fact_82_less__imp__neq) ).
fof(fact_83_less__imp__neq,axiom,
! [X_6,Y_5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_6),Y_5))
=> X_6 != Y_5 ),
file('theBenchmark.p',fact_83_less__imp__neq) ).
fof(fact_84_linorder__neqE,axiom,
! [X_5,Y_4] :
( X_5 != Y_4
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_5),Y_4))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_4),X_5)) ) ),
file('theBenchmark.p',fact_84_linorder__neqE) ).
fof(fact_85_linorder__antisym__conv3,axiom,
! [Y_1,X_2] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
<=> X_2 = Y_1 ) ),
file('theBenchmark.p',fact_85_linorder__antisym__conv3) ).
fof(fact_86_linorder__less__linear,axiom,
! [X_4,Y_3] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_4))
| X_4 = Y_3
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_4),Y_3)) ),
file('theBenchmark.p',fact_86_linorder__less__linear) ).
fof(fact_87_not__less__iff__gr__or__eq,axiom,
! [X_2,Y_1] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
<=> ( X_2 = Y_1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2)) ) ),
file('theBenchmark.p',fact_87_not__less__iff__gr__or__eq) ).
fof(fact_88_linorder__neq__iff,axiom,
! [X_2,Y_1] :
( X_2 != Y_1
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) ) ),
file('theBenchmark.p',fact_88_linorder__neq__iff) ).
fof(fact_89_order__less__irrefl,axiom,
! [X_2] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),X_2)),
file('theBenchmark.p',fact_89_order__less__irrefl) ).
fof(fact_90_order__less__irrefl,axiom,
! [X_3] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_3),X_3)),
file('theBenchmark.p',fact_90_order__less__irrefl) ).
fof(fact_91_UNIV__def,axiom,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
file('theBenchmark.p',fact_91_UNIV__def) ).
fof(fact_92_UNIV__def,axiom,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
file('theBenchmark.p',fact_92_UNIV__def) ).
fof(fact_93_UNIV__def,axiom,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
file('theBenchmark.p',fact_93_UNIV__def) ).
fof(fact_94_UNIV__def,axiom,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
file('theBenchmark.p',fact_94_UNIV__def) ).
fof(fact_95_UNIV__def,axiom,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
file('theBenchmark.p',fact_95_UNIV__def) ).
fof(fact_96_pred__equals__eq2,axiom,
! [S,R_1] :
( ( is_fun282293932t_bool(R_1)
& is_fun282293932t_bool(S) )
=> ( ! [X_1,Xa] :
( ( is_Arr553848933le_alt(Xa)
& is_Arr553848933le_alt(X_1) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),R_1))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),S)) ) )
<=> R_1 = S ) ),
file('theBenchmark.p',fact_96_pred__equals__eq2) ).
fof(fact_97_less__top,axiom,
! [Aa] :
( is_fun432044380l_bool(Aa)
=> ( Aa != top_to2005687013l_bool
<=> hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,Aa),top_to2005687013l_bool)) ) ),
file('theBenchmark.p',fact_97_less__top) ).
fof(fact_98_less__top,axiom,
! [Aa] :
( is_fun959573582l_bool(Aa)
=> ( Aa != top_to1194196741l_bool
<=> hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,Aa),top_to1194196741l_bool)) ) ),
file('theBenchmark.p',fact_98_less__top) ).
fof(fact_99_less__top,axiom,
! [Aa] :
( is_fun631676118l_bool(Aa)
=> ( Aa != top_to40512653l_bool
<=> hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,Aa),top_to40512653l_bool)) ) ),
file('theBenchmark.p',fact_99_less__top) ).
fof(fact_100_less__top,axiom,
! [Aa] :
( ~ ( hBOOL(Aa)
<=> hBOOL(top_top_bool) )
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Aa),top_top_bool)) ),
file('theBenchmark.p',fact_100_less__top) ).
fof(fact_101_less__top,axiom,
! [Aa] :
( is_fun282293932t_bool(Aa)
=> ( Aa != top_to2034604131t_bool
<=> hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,Aa),top_to2034604131t_bool)) ) ),
file('theBenchmark.p',fact_101_less__top) ).
fof(fact_102_less__top,axiom,
! [Aa] :
( is_fun917378774i_bool(Aa)
=> ( Aa != top_to1256827021i_bool
<=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),top_to1256827021i_bool)) ) ),
file('theBenchmark.p',fact_102_less__top) ).
fof(fact_103_inv__f__eq,axiom,
! [X_2,Y_1,F] :
( is_Arr625519182e_indi(X_2)
=> ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(F,X_2) = Y_1
=> hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,F),Y_1) = X_2 ) ) ),
file('theBenchmark.p',fact_103_inv__f__eq) ).
fof(fact_104_inv__f__f,axiom,
! [X_2,F] :
( is_Arr625519182e_indi(X_2)
=> ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
=> hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,F),hAPP_A588601142di_nat(F,X_2)) = X_2 ) ),
file('theBenchmark.p',fact_104_inv__f__f) ).
fof(fact_105_inv__into__f__f,axiom,
! [X_2,F,A] :
( is_Arr625519182e_indi(X_2)
=> ( hBOOL(inj_on24934938di_nat(F,A))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hAPP_n385347014e_indi(hilber1792103167di_nat(A,F),hAPP_A588601142di_nat(F,X_2)) = X_2 ) ) ),
file('theBenchmark.p',fact_105_inv__into__f__f) ).
fof(fact_106_inv__into__f__eq,axiom,
! [Y_1,X_2,F,A] :
( is_Arr625519182e_indi(X_2)
=> ( hBOOL(inj_on24934938di_nat(F,A))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> ( hAPP_A588601142di_nat(F,X_2) = Y_1
=> hAPP_n385347014e_indi(hilber1792103167di_nat(A,F),Y_1) = X_2 ) ) ) ),
file('theBenchmark.p',fact_106_inv__into__f__eq) ).
fof(fact_107_inj__eq,axiom,
! [X_2,Y_1,F] :
( ( is_Arr625519182e_indi(Y_1)
& is_Arr625519182e_indi(X_2) )
=> ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
<=> X_2 = Y_1 ) ) ),
file('theBenchmark.p',fact_107_inj__eq) ).
fof(fact_108_inj__on__def,axiom,
! [F,A] :
( hBOOL(inj_on24934938di_nat(F,A))
<=> ! [X_1] :
( is_Arr625519182e_indi(X_1)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_1),A))
=> ! [Xa] :
( is_Arr625519182e_indi(Xa)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Xa),A))
=> ( hAPP_A588601142di_nat(F,X_1) = hAPP_A588601142di_nat(F,Xa)
=> X_1 = Xa ) ) ) ) ) ),
file('theBenchmark.p',fact_108_inj__on__def) ).
fof(fact_109_inj__on__contraD,axiom,
! [X_2,Y_1,F,A] :
( ( is_Arr625519182e_indi(Y_1)
& is_Arr625519182e_indi(X_2) )
=> ( hBOOL(inj_on24934938di_nat(F,A))
=> ( X_2 != Y_1
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
=> hAPP_A588601142di_nat(F,X_2) != hAPP_A588601142di_nat(F,Y_1) ) ) ) ) ),
file('theBenchmark.p',fact_109_inj__on__contraD) ).
fof(fact_110_inj__on__iff,axiom,
! [Y_1,X_2,F,A] :
( ( is_Arr625519182e_indi(X_2)
& is_Arr625519182e_indi(Y_1) )
=> ( hBOOL(inj_on24934938di_nat(F,A))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
=> ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
<=> X_2 = Y_1 ) ) ) ) ),
file('theBenchmark.p',fact_110_inj__on__iff) ).
fof(fact_111_inj__onD,axiom,
! [X_2,Y_1,F,A] :
( ( is_Arr625519182e_indi(Y_1)
& is_Arr625519182e_indi(X_2) )
=> ( hBOOL(inj_on24934938di_nat(F,A))
=> ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
=> X_2 = Y_1 ) ) ) ) ),
file('theBenchmark.p',fact_111_inj__onD) ).
fof(fact_112_injD,axiom,
! [X_2,Y_1,F] :
( ( is_Arr625519182e_indi(Y_1)
& is_Arr625519182e_indi(X_2) )
=> ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
=> X_2 = Y_1 ) ) ),
file('theBenchmark.p',fact_112_injD) ).
fof(fact_113_inj__imp__inv__eq,axiom,
! [G,F] :
( is_fun1016509681e_indi(G)
=> ( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
=> ( ! [X_1] : hAPP_A588601142di_nat(F,hAPP_n385347014e_indi(G,X_1)) = X_1
=> hilber1792103167di_nat(top_to1256827021i_bool,F) = G ) ) ),
file('theBenchmark.p',fact_113_inj__imp__inv__eq) ).
fof(fact_114_injI,axiom,
! [F] :
( ! [X_1,Y_2] :
( ( is_Arr625519182e_indi(Y_2)
& is_Arr625519182e_indi(X_1) )
=> ( hAPP_A588601142di_nat(F,X_1) = hAPP_A588601142di_nat(F,Y_2)
=> X_1 = Y_2 ) )
=> hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool)) ),
file('theBenchmark.p',fact_114_injI) ).
fof(fact_115_assms_I1_J,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
file('theBenchmark.p',fact_115_assms_I1_J) ).
fof(fact_116__096Lba_A_058_ALin_096,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
file('theBenchmark.p',fact_116__096Lba_A_058_ALin_096) ).
fof(fact_117__096Lab_A_058_ALin_096,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
file('theBenchmark.p',fact_117__096Lab_A_058_ALin_096) ).
fof(fact_118_Lin__irrefl,axiom,
! [Aa,Ba,L] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),L))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),L)) ) ),
file('theBenchmark.p',fact_118_Lin__irrefl) ).
fof(fact_119_notin__Lin__iff,axiom,
! [X_2,Y_1,L] :
( ( is_Arr553848933le_alt(Y_1)
& is_Arr553848933le_alt(X_2) )
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
=> ( X_2 != Y_1
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Y_1,X_2)),L)) ) ) ) ),
file('theBenchmark.p',fact_119_notin__Lin__iff) ).
fof(fact_120_mem__def,axiom,
! [X_2,A] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
<=> hBOOL(hAPP_A1466488369i_bool(A,X_2)) ),
file('theBenchmark.p',fact_120_mem__def) ).
fof(fact_121_mem__def,axiom,
! [X_2,A] :
( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
<=> hBOOL(hAPP_bool_bool(A,X_2)) ),
file('theBenchmark.p',fact_121_mem__def) ).
fof(fact_122_mem__def,axiom,
! [X_2,A] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
<=> hBOOL(hAPP_P2075002375t_bool(A,X_2)) ),
file('theBenchmark.p',fact_122_mem__def) ).
fof(fact_123_mem__def,axiom,
! [X_2,A] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
<=> hBOOL(hAPP_f1636546729l_bool(A,X_2)) ),
file('theBenchmark.p',fact_123_mem__def) ).
fof(fact_124_mem__def,axiom,
! [X_2,A] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
<=> hBOOL(hAPP_f785543729l_bool(A,X_2)) ),
file('theBenchmark.p',fact_124_mem__def) ).
fof(fact_125_mem__def,axiom,
! [X_2,A] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
<=> hBOOL(hAPP_f745298353l_bool(A,X_2)) ),
file('theBenchmark.p',fact_125_mem__def) ).
fof(fact_126_Collect__def,axiom,
! [Pa] :
( is_fun917378774i_bool(Pa)
=> collec45183100e_indi(Pa) = Pa ),
file('theBenchmark.p',fact_126_Collect__def) ).
fof(fact_127_mktop__Lin,axiom,
! [X_2,L] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),X_2)),arrow_1239002508le_Lin)) ),
file('theBenchmark.p',fact_127_mktop__Lin) ).
fof(fact_128_mkbot__Lin,axiom,
! [X_2,L] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),X_2)),arrow_1239002508le_Lin)) ),
file('theBenchmark.p',fact_128_mkbot__Lin) ).
fof(fact_129_above__Lin,axiom,
! [L,X_2,Y_1] :
( ( is_Arr553848933le_alt(Y_1)
& is_Arr553848933le_alt(X_2) )
=> ( X_2 != Y_1
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
=> 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)) ) ) ),
file('theBenchmark.p',fact_129_above__Lin) ).
fof(fact_130_const__Lin__Prof,axiom,
! [L] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,L)),arrow_413697182e_Prof)) ),
file('theBenchmark.p',fact_130_const__Lin__Prof) ).
fof(fact_131_in__above,axiom,
! [X_2,Y_1,L,Aa,Ba] :
( ( is_Arr553848933le_alt(Ba)
& is_Arr553848933le_alt(Aa)
& is_Arr553848933le_alt(Y_1)
& is_Arr553848933le_alt(X_2) )
=> ( Aa != Ba
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
=> ( 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)))
<=> ( ( X_2 != Ba
=> ( ( Y_1 != Ba
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) )
& ( Y_1 = Ba
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Aa)),L))
| X_2 = Aa ) ) ) )
& ( X_2 = Ba
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Y_1)),L)) )
& X_2 != Y_1 ) ) ) ) ),
file('theBenchmark.p',fact_131_in__above) ).
fof(fact_132_dictatorI,axiom,
! [I_1,Fa] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(Fa),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
=> ( ! [X_1] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof))
=> ! [A_1,B_1] :
( ( is_Arr553848933le_alt(B_1)
& is_Arr553848933le_alt(A_1) )
=> ( A_1 != B_1
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I_1)))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) ) ) ) )
=> hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1)) ) ),
file('theBenchmark.p',fact_132_dictatorI) ).
fof(fact_133_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,B)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),hAPP_P2127852789l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) ) ),
file('theBenchmark.p',fact_133_PiE) ).
fof(fact_134_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,B)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),hAPP_A1374816149t_bool(B,X_2)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ),
file('theBenchmark.p',fact_134_PiE) ).
fof(fact_135_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,B)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),hAPP_b1024867081t_bool(B,X_2)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_135_PiE) ).
fof(fact_136_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,B)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),hAPP_A1912483895l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ),
file('theBenchmark.p',fact_136_PiE) ).
fof(fact_137_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,B)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),hAPP_b1719629739l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_137_PiE) ).
fof(fact_138_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,B)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),hAPP_A1964572607l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ),
file('theBenchmark.p',fact_138_PiE) ).
fof(fact_139_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,B)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),hAPP_b990649139l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_139_PiE) ).
fof(fact_140_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,B)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),hAPP_b1965422783l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_140_PiE) ).
fof(fact_141_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,B)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),hAPP_P907763049i_bool(B,X_2)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) ) ),
file('theBenchmark.p',fact_141_PiE) ).
fof(fact_142_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,B)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),hAPP_f749892423i_bool(B,X_2)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_142_PiE) ).
fof(fact_143_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,B)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),hAPP_f313042899l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_143_PiE) ).
fof(fact_144_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,B)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),hAPP_f355113919i_bool(B,X_2)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_144_PiE) ).
fof(fact_145_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,B)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),hAPP_f497468491l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_145_PiE) ).
fof(fact_146_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,B)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),hAPP_f352490559i_bool(B,X_2)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_146_PiE) ).
fof(fact_147_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,B)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),hAPP_f417299659l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_147_PiE) ).
fof(fact_148_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,B)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),hAPP_f861484971l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ),
file('theBenchmark.p',fact_148_PiE) ).
fof(fact_149_PiE,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,B)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),hAPP_A1944296755l_bool(B,X_2)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ),
file('theBenchmark.p',fact_149_PiE) ).
fof(fact_150_complete__Lin,axiom,
! [Aa,Ba] :
( ( is_Arr553848933le_alt(Ba)
& is_Arr553848933le_alt(Aa) )
=> ( Aa != Ba
=> ? [X_1] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),X_1))
& hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_1),arrow_1239002508le_Lin))
& is_fun282293932t_bool(X_1) ) ) ),
file('theBenchmark.p',fact_150_complete__Lin) ).
fof(fact_151_PiProf,axiom,
! [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)),
file('theBenchmark.p',fact_151_PiProf) ).
fof(fact_152_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,B)))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),hAPP_P2127852789l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_152_Pi__mem) ).
fof(fact_153_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,B)))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),hAPP_P907763049i_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_153_Pi__mem) ).
fof(fact_154_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,B)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),hAPP_f749892423i_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_154_Pi__mem) ).
fof(fact_155_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,B)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),hAPP_f313042899l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_155_Pi__mem) ).
fof(fact_156_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,B)))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),hAPP_f355113919i_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_156_Pi__mem) ).
fof(fact_157_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,B)))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),hAPP_f497468491l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_157_Pi__mem) ).
fof(fact_158_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,B)))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),hAPP_f352490559i_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_158_Pi__mem) ).
fof(fact_159_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,B)))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),hAPP_f417299659l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_159_Pi__mem) ).
fof(fact_160_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,B)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),hAPP_A1374816149t_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_160_Pi__mem) ).
fof(fact_161_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,B)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),hAPP_b1024867081t_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_161_Pi__mem) ).
fof(fact_162_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,B)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),hAPP_A1912483895l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_162_Pi__mem) ).
fof(fact_163_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,B)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),hAPP_b1719629739l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_163_Pi__mem) ).
fof(fact_164_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,B)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),hAPP_A1964572607l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_164_Pi__mem) ).
fof(fact_165_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,B)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),hAPP_b990649139l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_165_Pi__mem) ).
fof(fact_166_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,B)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),hAPP_b1965422783l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_166_Pi__mem) ).
fof(fact_167_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,B)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),hAPP_f861484971l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_167_Pi__mem) ).
fof(fact_168_Pi__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,B)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),hAPP_A1944296755l_bool(B,X_2))) ) ),
file('theBenchmark.p',fact_168_Pi__mem) ).
fof(fact_169_Prof__def,axiom,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
file('theBenchmark.p',fact_169_Prof__def) ).
fof(fact_170_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,B))))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_170_funcset__mem) ).
fof(fact_171_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,B))))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_171_funcset__mem) ).
fof(fact_172_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,hAPP_f681113465i_bool(cOMBK_454107598t_bool,B))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_172_funcset__mem) ).
fof(fact_173_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,hAPP_f219827985l_bool(cOMBK_886533338t_bool,B))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_173_funcset__mem) ).
fof(fact_174_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,B))))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_174_funcset__mem) ).
fof(fact_175_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,B))))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_175_funcset__mem) ).
fof(fact_176_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,B))))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_176_funcset__mem) ).
fof(fact_177_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,B))))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_177_funcset__mem) ).
fof(fact_178_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,B))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_178_funcset__mem) ).
fof(fact_179_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,B))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_179_funcset__mem) ).
fof(fact_180_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,hAPP_f813556705l_bool(cOMBK_116240846e_indi,B))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_180_funcset__mem) ).
fof(fact_181_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,hAPP_f371807573l_bool(cOMBK_697604314l_bool,B))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_181_funcset__mem) ).
fof(fact_182_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,B))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_182_funcset__mem) ).
fof(fact_183_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,B))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_183_funcset__mem) ).
fof(fact_184_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,B))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_184_funcset__mem) ).
fof(fact_185_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,B))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_185_funcset__mem) ).
fof(fact_186_funcset__mem,axiom,
! [X_2,F,A,B] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,B))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),B)) ) ),
file('theBenchmark.p',fact_186_funcset__mem) ).
fof(fact_187_dictator__def,axiom,
! [Fa,I_1] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1))
<=> ! [X_1] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof))
=> hAPP_f695124765t_bool(Fa,X_1) = hAPP_A1374816149t_bool(X_1,I_1) ) ),
file('theBenchmark.p',fact_187_dictator__def) ).
fof(fact_188_Pi__UNIV,axiom,
! [A] : pi_Pro2135156861t_bool(A,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
file('theBenchmark.p',fact_188_Pi__UNIV) ).
fof(fact_189_Pi__UNIV,axiom,
! [A] : pi_fun433100839t_bool(A,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
file('theBenchmark.p',fact_189_Pi__UNIV) ).
fof(fact_190_Pi__UNIV,axiom,
! [A] : pi_Arr688267935t_bool(A,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
file('theBenchmark.p',fact_190_Pi__UNIV) ).
fof(fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am,axiom,
( 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))))))
<=> 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)))) ),
file('theBenchmark.p',fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am) ).
fof(fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am,axiom,
! [I] :
( ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
=> ( ( hAPP_A588601142di_nat(h,I) != n
=> 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))) )
& ( hAPP_A588601142di_nat(h,I) = n
=> 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))) ) ) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
=> 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))) ) )
<=> ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ) ) ),
file('theBenchmark.p',fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am) ).
fof(fact_193__096a_A_126_061_Ab_096,axiom,
a != b,
file('theBenchmark.p',fact_193__096a_A_126_061_Ab_096) ).
fof(fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
file('theBenchmark.p',fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).
fof(fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
file('theBenchmark.p',fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096) ).
fof(fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
file('theBenchmark.p',fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096) ).
fof(fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
file('theBenchmark.p',fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096) ).
fof(help_fTrue_1_1_U,axiom,
hBOOL(fTrue),
file('theBenchmark.p',help_fTrue_1_1_U) ).
fof(help_fTrue_1_1_T,axiom,
! [P] :
( is_bool(P)
=> ( P = fFalse
| P = fTrue ) ),
file('theBenchmark.p',help_fTrue_1_1_T) ).
fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom,
! [X,Y] :
( X = Y
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ),
file('theBenchmark.p',help_fequal_1_1_fequal_000tc__Nat__Onat_T) ).
fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom,
! [X,Y] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y))
| X != Y ),
file('theBenchmark.p',help_fequal_2_1_fequal_000tc__Nat__Onat_T) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje,axiom,
! [P,Q] :
( is_bool(P)
=> hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,axiom,
! [P,Q,R] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(P,Q),R) = hAPP_nat_bool(hAPP_A1922697556t_bool(P,R),Q),
file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000) ).
fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
! [P,Q,R] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_A588601142di_nat(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe,axiom,
! [P,Q] :
( is_bool(P)
=> hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe) ).
fof(help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
! [X,Y] :
( is_fun282293932t_bool(X)
=> hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X),Y) = X ),
file('theBenchmark.p',help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
! [X,Y] :
( is_fun282293932t_bool(Y)
=> hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X),Y) = Y ),
file('theBenchmark.p',help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
! [P] :
( is_bool(P)
=> ( P = fFalse
| P = fTrue ) ),
file('theBenchmark.p',help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_,axiom,
! [P,Q] :
( is_bool(P)
=> hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It,axiom,
! [P,Q] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,P),Q) = P,
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
! [P,Q] :
( is_fun282293932t_bool(P)
=> hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,axiom,
! [P,Q] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,P),Q) = P,
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe,axiom,
! [P,Q] :
( is_fun432044380l_bool(P)
=> hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,axiom,
! [P,Q] :
( is_fun917378774i_bool(P)
=> hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026,axiom,
! [P,Q] :
( is_fun282293932t_bool(P)
=> hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel,axiom,
! [P,Q] :
( is_bool(P)
=> hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027,axiom,
! [P,Q] :
( is_fun917378774i_bool(P)
=> hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028,axiom,
! [P,Q] :
( is_fun432044380l_bool(P)
=> hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029,axiom,
! [P,Q] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,P),Q) = P,
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje,axiom,
! [P,Q] :
( is_fun959573582l_bool(P)
=> hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030,axiom,
! [P,Q,R] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(P,Q),R) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(P,R),Q),
file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031,axiom,
! [P,Q] :
( is_fun917378774i_bool(P)
=> hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032,axiom,
! [P,Q] :
( is_fun959573582l_bool(P)
=> hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033,axiom,
! [P,Q,R] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(P,Q),R) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(P,R),Q),
file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034,axiom,
! [P,Q,R] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(P,Q),R) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P,R),Q),
file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034) ).
fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,axiom,
! [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)),
file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__,axiom,
! [P,Q] :
( is_bool(P)
=> hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035,axiom,
! [P,Q] :
( is_fun432044380l_bool(P)
=> hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036,axiom,
! [P,Q] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,P),Q) = P,
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel,axiom,
! [P,Q] :
( is_fun631676118l_bool(P)
=> hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
! [P,Q,R] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(P,Q),R) = hAPP_f1290184496t_bool(P,hAPP_A1374816149t_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037,axiom,
! [P,Q] :
( is_fun917378774i_bool(P)
=> hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038,axiom,
! [P,Q] :
( is_fun631676118l_bool(P)
=> hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,P),Q) = P ),
file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039,axiom,
! [P,Q,R] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(P,Q),R) = hAPP_f1336478923t_bool(P,hAPP_A1374816149t_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040,axiom,
! [P,Q,R] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(P,Q),R) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(P,R),Q),
file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040) ).
fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041,axiom,
! [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)),
file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_,axiom,
! [P,Q,R] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(P,Q),R) = hAPP_b1915039793t_bool(P,hAPP_A1466488369i_bool(Q,R)),
file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_) ).
fof(conj_0,conjecture,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
file('theBenchmark.p',conj_0) ).
fof(f_1_1,plain,
is_fun631676118l_bool(arrow_1212118780le_IIA),
inference(fof_nnf,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA]) ).
cnf(f_1_2,plain,
is_fun631676118l_bool(arrow_1212118780le_IIA),
inference(clausify,[status(thm)],[f_1_1]) ).
fof(f_2_1,plain,
is_fun432044380l_bool(arrow_1239002508le_Lin),
inference(fof_nnf,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin]) ).
cnf(f_2_2,plain,
is_fun432044380l_bool(arrow_1239002508le_Lin),
inference(clausify,[status(thm)],[f_2_1]) ).
fof(f_3_1,plain,
is_fun959573582l_bool(arrow_413697182e_Prof),
inference(fof_nnf,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf]) ).
cnf(f_3_2,plain,
is_fun959573582l_bool(arrow_413697182e_Prof),
inference(clausify,[status(thm)],[f_3_1]) ).
fof(f_4_1,plain,
is_fun631676118l_bool(arrow_467566751nimity),
inference(fof_nnf,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity]) ).
cnf(f_4_2,plain,
is_fun631676118l_bool(arrow_467566751nimity),
inference(clausify,[status(thm)],[f_4_1]) ).
fof(f_5_1,plain,
! [B_1_1,B_2_1] : is_fun917378774i_bool(cOMBC_277798809t_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__]) ).
fof(f_5_2,plain,
! [U_1,U_0] : is_fun917378774i_bool(cOMBC_277798809t_bool(U_1,U_0)),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
is_fun917378774i_bool(cOMBC_277798809t_bool(U_1,U_0)),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [B_1_1,B_2_1] :
( is_bool(inj_on24934938di_nat(B_1_1,B_2_1))
| ~ is_fun917378774i_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc]) ).
fof(f_6_2,plain,
! [U_3,U_2] :
( is_bool(inj_on24934938di_nat(U_3,U_2))
| ~ is_fun917378774i_bool(U_2) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( is_bool(inj_on24934938di_nat(U_3,U_2))
| ~ is_fun917378774i_bool(U_2) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [B_1_1,B_2_1] :
( is_fun959573582l_bool(pi_Arr688267935t_bool(B_1_1,B_2_1))
| ~ is_fun917378774i_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_]) ).
fof(f_7_2,plain,
! [U_5,U_4] :
( is_fun959573582l_bool(pi_Arr688267935t_bool(U_5,U_4))
| ~ is_fun917378774i_bool(U_5) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_5] :
( ! [U_4] : is_fun959573582l_bool(pi_Arr688267935t_bool(U_5,U_4))
| ~ is_fun917378774i_bool(U_5) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( is_fun959573582l_bool(pi_Arr688267935t_bool(U_5,U_4))
| ~ is_fun917378774i_bool(U_5) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [B_1_1,B_2_1] :
( is_fun631676118l_bool(pi_fun433100839t_bool(B_1_1,B_2_1))
| ~ is_fun959573582l_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin]) ).
fof(f_8_2,plain,
! [U_7,U_6] :
( is_fun631676118l_bool(pi_fun433100839t_bool(U_7,U_6))
| ~ is_fun959573582l_bool(U_7) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_7] :
( ! [U_6] : is_fun631676118l_bool(pi_fun433100839t_bool(U_7,U_6))
| ~ is_fun959573582l_bool(U_7) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( is_fun631676118l_bool(pi_fun433100839t_bool(U_7,U_6))
| ~ is_fun959573582l_bool(U_7) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [B_1_1,B_2_1] :
( is_fun432044380l_bool(pi_Pro2135156861t_bool(B_1_1,B_2_1))
| ~ is_fun282293932t_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa]) ).
fof(f_9_2,plain,
! [U_9,U_8] :
( is_fun432044380l_bool(pi_Pro2135156861t_bool(U_9,U_8))
| ~ is_fun282293932t_bool(U_9) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_9] :
( ! [U_8] : is_fun432044380l_bool(pi_Pro2135156861t_bool(U_9,U_8))
| ~ is_fun282293932t_bool(U_9) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( is_fun432044380l_bool(pi_Pro2135156861t_bool(U_9,U_8))
| ~ is_fun282293932t_bool(U_9) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
inference(fof_nnf,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt]) ).
cnf(f_10_2,plain,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
inference(clausify,[status(thm)],[f_10_1]) ).
fof(f_11_1,plain,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
inference(fof_nnf,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi]) ).
cnf(f_11_2,plain,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
inference(clausify,[status(thm)],[f_11_1]) ).
fof(f_12_1,plain,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
inference(fof_nnf,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj]) ).
cnf(f_12_2,plain,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
inference(clausify,[status(thm)],[f_12_1]) ).
fof(f_13_1,plain,
! [B_1_1,B_2_1] :
( is_fun1016509681e_indi(hilber1792103167di_nat(B_1_1,B_2_1))
| ~ is_fun917378774i_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq]) ).
fof(f_13_2,plain,
! [U_11,U_10] :
( is_fun1016509681e_indi(hilber1792103167di_nat(U_11,U_10))
| ~ is_fun917378774i_bool(U_11) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_11] :
( ! [U_10] : is_fun1016509681e_indi(hilber1792103167di_nat(U_11,U_10))
| ~ is_fun917378774i_bool(U_11) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( is_fun1016509681e_indi(hilber1792103167di_nat(U_11,U_10))
| ~ is_fun917378774i_bool(U_11) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
is_bool(top_top_bool),
inference(fof_nnf,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool]) ).
cnf(f_14_2,plain,
is_bool(top_top_bool),
inference(clausify,[status(thm)],[f_14_1]) ).
fof(f_15_1,plain,
is_fun917378774i_bool(top_to1256827021i_bool),
inference(fof_nnf,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____]) ).
cnf(f_15_2,plain,
is_fun917378774i_bool(top_to1256827021i_bool),
inference(clausify,[status(thm)],[f_15_1]) ).
fof(f_16_1,plain,
is_fun959573582l_bool(top_to1194196741l_bool),
inference(fof_nnf,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira]) ).
cnf(f_16_2,plain,
is_fun959573582l_bool(top_to1194196741l_bool),
inference(clausify,[status(thm)],[f_16_1]) ).
fof(f_17_1,plain,
is_fun631676118l_bool(top_to40512653l_bool),
inference(fof_nnf,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde]) ).
cnf(f_17_2,plain,
is_fun631676118l_bool(top_to40512653l_bool),
inference(clausify,[status(thm)],[f_17_1]) ).
fof(f_18_1,plain,
is_fun432044380l_bool(top_to2005687013l_bool),
inference(fof_nnf,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord]) ).
cnf(f_18_2,plain,
is_fun432044380l_bool(top_to2005687013l_bool),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,plain,
is_fun282293932t_bool(top_to2034604131t_bool),
inference(fof_nnf,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir]) ).
cnf(f_19_2,plain,
is_fun282293932t_bool(top_to2034604131t_bool),
inference(clausify,[status(thm)],[f_19_1]) ).
fof(f_20_1,plain,
! [B_1_1] :
( is_fun917378774i_bool(collec45183100e_indi(B_1_1))
| ~ is_fun917378774i_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi]) ).
fof(f_20_2,plain,
! [U_12] :
( is_fun917378774i_bool(collec45183100e_indi(U_12))
| ~ is_fun917378774i_bool(U_12) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( is_fun917378774i_bool(collec45183100e_indi(U_12))
| ~ is_fun917378774i_bool(U_12) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [B_1_1] :
( is_fun959573582l_bool(collec1580242420t_bool(B_1_1))
| ~ is_fun959573582l_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi]) ).
fof(f_21_2,plain,
! [U_13] :
( is_fun959573582l_bool(collec1580242420t_bool(U_13))
| ~ is_fun959573582l_bool(U_13) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( is_fun959573582l_bool(collec1580242420t_bool(U_13))
| ~ is_fun959573582l_bool(U_13) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_1,plain,
! [B_1_1] :
( is_fun631676118l_bool(collec1520786044t_bool(B_1_1))
| ~ is_fun631676118l_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx]) ).
fof(f_22_2,plain,
! [U_14] :
( is_fun631676118l_bool(collec1520786044t_bool(U_14))
| ~ is_fun631676118l_bool(U_14) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( is_fun631676118l_bool(collec1520786044t_bool(U_14))
| ~ is_fun631676118l_bool(U_14) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [B_1_1] :
( is_fun432044380l_bool(collec874260222t_bool(B_1_1))
| ~ is_fun432044380l_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew]) ).
fof(f_23_2,plain,
! [U_15] :
( is_fun432044380l_bool(collec874260222t_bool(U_15))
| ~ is_fun432044380l_bool(U_15) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( is_fun432044380l_bool(collec874260222t_bool(U_15))
| ~ is_fun432044380l_bool(U_15) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [B_1_1] :
( is_fun282293932t_bool(collec1711870802le_alt(B_1_1))
| ~ is_fun282293932t_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O]) ).
fof(f_24_2,plain,
! [U_16] :
( is_fun282293932t_bool(collec1711870802le_alt(U_16))
| ~ is_fun282293932t_bool(U_16) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( is_fun282293932t_bool(collec1711870802le_alt(U_16))
| ~ is_fun282293932t_bool(U_16) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
is_bool(fFalse),
inference(fof_nnf,[status(thm)],[gsy_c_fFalse]) ).
cnf(f_25_2,plain,
is_bool(fFalse),
inference(clausify,[status(thm)],[f_25_1]) ).
fof(f_26_1,plain,
is_bool(fTrue),
inference(fof_nnf,[status(thm)],[gsy_c_fTrue]) ).
cnf(f_26_2,plain,
is_bool(fTrue),
inference(clausify,[status(thm)],[f_26_1]) ).
fof(f_27_1,plain,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(hAPP_A619995676t_bool(B_1_1,B_2_1))
| ~ is_Arr553848933le_alt(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc]) ).
fof(f_27_2,plain,
! [U_18,U_17] :
( is_fun282293932t_bool(hAPP_A619995676t_bool(U_18,U_17))
| ~ is_Arr553848933le_alt(U_17) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( is_fun282293932t_bool(hAPP_A619995676t_bool(U_18,U_17))
| ~ is_Arr553848933le_alt(U_17) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_A1466488369i_bool(B_1_1,B_2_1))
| ~ is_Arr625519182e_indi(B_2_1)
| ~ is_fun917378774i_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O]) ).
fof(f_28_2,plain,
! [U_20,U_19] :
( is_bool(hAPP_A1466488369i_bool(U_20,U_19))
| ~ is_Arr625519182e_indi(U_19)
| ~ is_fun917378774i_bool(U_20) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( is_bool(hAPP_A1466488369i_bool(U_20,U_19))
| ~ is_Arr625519182e_indi(U_19)
| ~ is_fun917378774i_bool(U_20) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [B_1_1,B_2_1] :
( is_fun959573582l_bool(hAPP_A1912483895l_bool(B_1_1,B_2_1))
| ~ is_Arr625519182e_indi(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It]) ).
fof(f_29_2,plain,
! [U_22,U_21] :
( is_fun959573582l_bool(hAPP_A1912483895l_bool(U_22,U_21))
| ~ is_Arr625519182e_indi(U_21) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( is_fun959573582l_bool(hAPP_A1912483895l_bool(U_22,U_21))
| ~ is_Arr625519182e_indi(U_21) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [B_1_1,B_2_1] :
( is_fun631676118l_bool(hAPP_A1964572607l_bool(B_1_1,B_2_1))
| ~ is_Arr625519182e_indi(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001]) ).
fof(f_30_2,plain,
! [U_24,U_23] :
( is_fun631676118l_bool(hAPP_A1964572607l_bool(U_24,U_23))
| ~ is_Arr625519182e_indi(U_23) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( is_fun631676118l_bool(hAPP_A1964572607l_bool(U_24,U_23))
| ~ is_Arr625519182e_indi(U_23) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [B_1_1,B_2_1] :
( is_fun432044380l_bool(hAPP_A1944296755l_bool(B_1_1,B_2_1))
| ~ is_Arr625519182e_indi(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002]) ).
fof(f_31_2,plain,
! [U_26,U_25] :
( is_fun432044380l_bool(hAPP_A1944296755l_bool(U_26,U_25))
| ~ is_Arr625519182e_indi(U_25) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( is_fun432044380l_bool(hAPP_A1944296755l_bool(U_26,U_25))
| ~ is_Arr625519182e_indi(U_25) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(hAPP_A1374816149t_bool(B_1_1,B_2_1))
| ~ is_Arr625519182e_indi(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003]) ).
fof(f_32_2,plain,
! [U_28,U_27] :
( is_fun282293932t_bool(hAPP_A1374816149t_bool(U_28,U_27))
| ~ is_Arr625519182e_indi(U_27) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( is_fun282293932t_bool(hAPP_A1374816149t_bool(U_28,U_27))
| ~ is_Arr625519182e_indi(U_27) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_bool_bool(B_1_1,B_2_1))
| ~ is_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool]) ).
fof(f_33_2,plain,
! [U_30,U_29] :
( is_bool(hAPP_bool_bool(U_30,U_29))
| ~ is_bool(U_29) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( is_bool(hAPP_bool_bool(U_30,U_29))
| ~ is_bool(U_29) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [B_1_1,B_2_1] :
( is_fun917378774i_bool(hAPP_b1018211123i_bool(B_1_1,B_2_1))
| ~ is_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew]) ).
fof(f_34_2,plain,
! [U_32,U_31] :
( is_fun917378774i_bool(hAPP_b1018211123i_bool(U_32,U_31))
| ~ is_bool(U_31) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( is_fun917378774i_bool(hAPP_b1018211123i_bool(U_32,U_31))
| ~ is_bool(U_31) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
! [B_1_1,B_2_1] :
( is_fun959573582l_bool(hAPP_b1719629739l_bool(B_1_1,B_2_1))
| ~ is_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell]) ).
fof(f_35_2,plain,
! [U_34,U_33] :
( is_fun959573582l_bool(hAPP_b1719629739l_bool(U_34,U_33))
| ~ is_bool(U_33) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( is_fun959573582l_bool(hAPP_b1719629739l_bool(U_34,U_33))
| ~ is_bool(U_33) ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
! [B_1_1,B_2_1] :
( is_fun631676118l_bool(hAPP_b990649139l_bool(B_1_1,B_2_1))
| ~ is_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___]) ).
fof(f_36_2,plain,
! [U_36,U_35] :
( is_fun631676118l_bool(hAPP_b990649139l_bool(U_36,U_35))
| ~ is_bool(U_35) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( is_fun631676118l_bool(hAPP_b990649139l_bool(U_36,U_35))
| ~ is_bool(U_35) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
! [B_1_1,B_2_1] :
( is_fun432044380l_bool(hAPP_b1965422783l_bool(B_1_1,B_2_1))
| ~ is_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__]) ).
fof(f_37_2,plain,
! [U_38,U_37] :
( is_fun432044380l_bool(hAPP_b1965422783l_bool(U_38,U_37))
| ~ is_bool(U_37) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( is_fun432044380l_bool(hAPP_b1965422783l_bool(U_38,U_37))
| ~ is_bool(U_37) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(hAPP_b1024867081t_bool(B_1_1,B_2_1))
| ~ is_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel]) ).
fof(f_38_2,plain,
! [U_40,U_39] :
( is_fun282293932t_bool(hAPP_b1024867081t_bool(U_40,U_39))
| ~ is_bool(U_39) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( is_fun282293932t_bool(hAPP_b1024867081t_bool(U_40,U_39))
| ~ is_bool(U_39) ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
! [B_1_1,B_2_1] :
( is_Arr625519182e_indi(hAPP_n385347014e_indi(B_1_1,B_2_1))
| ~ is_fun1016509681e_indi(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi]) ).
fof(f_39_2,plain,
! [U_42,U_41] :
( is_Arr625519182e_indi(hAPP_n385347014e_indi(U_42,U_41))
| ~ is_fun1016509681e_indi(U_42) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
! [U_42] :
( ! [U_41] : is_Arr625519182e_indi(hAPP_n385347014e_indi(U_42,U_41))
| ~ is_fun1016509681e_indi(U_42) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
cnf(f_39_4,plain,
( is_Arr625519182e_indi(hAPP_n385347014e_indi(U_42,U_41))
| ~ is_fun1016509681e_indi(U_42) ),
inference(clausify,[status(thm)],[f_39_3]) ).
fof(f_40_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool]) ).
fof(f_40_2,plain,
! [U_44,U_43] : is_bool(hAPP_nat_bool(U_44,U_43)),
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
is_bool(hAPP_nat_bool(U_44,U_43)),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_f919661787l_bool(B_1_1,B_2_1))
| ~ is_fun917378774i_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_]) ).
fof(f_41_2,plain,
! [U_46,U_45] :
( is_bool(hAPP_f919661787l_bool(U_46,U_45))
| ~ is_fun917378774i_bool(U_45) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
( is_bool(hAPP_f919661787l_bool(U_46,U_45))
| ~ is_fun917378774i_bool(U_45) ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004]) ).
fof(f_42_2,plain,
! [U_48,U_47] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(U_48,U_47)),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
is_Arr625519182e_indi(hAPP_f1818473245e_indi(U_48,U_47)),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_f1636546729l_bool(B_1_1,B_2_1))
| ~ is_fun959573582l_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005]) ).
fof(f_43_2,plain,
! [U_50,U_49] :
( is_bool(hAPP_f1636546729l_bool(U_50,U_49))
| ~ is_fun959573582l_bool(U_50) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
! [U_50] :
( ! [U_49] : is_bool(hAPP_f1636546729l_bool(U_50,U_49))
| ~ is_fun959573582l_bool(U_50) ),
inference(miniscope,[status(thm)],[f_43_2]) ).
cnf(f_43_4,plain,
( is_bool(hAPP_f1636546729l_bool(U_50,U_49))
| ~ is_fun959573582l_bool(U_50) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_f749892423i_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006]) ).
fof(f_44_2,plain,
! [U_52,U_51] : is_fun917378774i_bool(hAPP_f749892423i_bool(U_52,U_51)),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
is_fun917378774i_bool(hAPP_f749892423i_bool(U_52,U_51)),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [B_1_1,B_2_1] : is_fun432044380l_bool(hAPP_f861484971l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007]) ).
fof(f_45_2,plain,
! [U_54,U_53] : is_fun432044380l_bool(hAPP_f861484971l_bool(U_54,U_53)),
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
is_fun432044380l_bool(hAPP_f861484971l_bool(U_54,U_53)),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [B_1_1,B_2_1] : is_fun282293932t_bool(hAPP_f695124765t_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008]) ).
fof(f_46_2,plain,
! [U_56,U_55] : is_fun282293932t_bool(hAPP_f695124765t_bool(U_56,U_55)),
inference(variable_rename,[status(thm)],[f_46_1]) ).
cnf(f_46_3,plain,
is_fun282293932t_bool(hAPP_f695124765t_bool(U_56,U_55)),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f387058535l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool]) ).
fof(f_47_2,plain,
! [U_58,U_57] : is_bool(hAPP_f387058535l_bool(U_58,U_57)),
inference(variable_rename,[status(thm)],[f_47_1]) ).
cnf(f_47_3,plain,
is_bool(hAPP_f387058535l_bool(U_58,U_57)),
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f204273237l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O]) ).
fof(f_48_2,plain,
! [U_60,U_59] : is_bool(hAPP_f204273237l_bool(U_60,U_59)),
inference(variable_rename,[status(thm)],[f_48_1]) ).
cnf(f_48_3,plain,
is_bool(hAPP_f204273237l_bool(U_60,U_59)),
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1012384989l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009]) ).
fof(f_49_2,plain,
! [U_62,U_61] : is_bool(hAPP_f1012384989l_bool(U_62,U_61)),
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_3,plain,
is_bool(hAPP_f1012384989l_bool(U_62,U_61)),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_f453661011l_bool(B_1_1,B_2_1))
| ~ is_fun959573582l_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010]) ).
fof(f_50_2,plain,
! [U_64,U_63] :
( is_bool(hAPP_f453661011l_bool(U_64,U_63))
| ~ is_fun959573582l_bool(U_63) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
cnf(f_50_3,plain,
( is_bool(hAPP_f453661011l_bool(U_64,U_63))
| ~ is_fun959573582l_bool(U_63) ),
inference(clausify,[status(thm)],[f_50_2]) ).
fof(f_51_1,plain,
! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_f618619045e_indi(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011]) ).
fof(f_51_2,plain,
! [U_66,U_65] : is_Arr625519182e_indi(hAPP_f618619045e_indi(U_66,U_65)),
inference(variable_rename,[status(thm)],[f_51_1]) ).
cnf(f_51_3,plain,
is_Arr625519182e_indi(hAPP_f618619045e_indi(U_66,U_65)),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_f785543729l_bool(B_1_1,B_2_1))
| ~ is_fun631676118l_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012]) ).
fof(f_52_2,plain,
! [U_68,U_67] :
( is_bool(hAPP_f785543729l_bool(U_68,U_67))
| ~ is_fun631676118l_bool(U_68) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
! [U_68] :
( ! [U_67] : is_bool(hAPP_f785543729l_bool(U_68,U_67))
| ~ is_fun631676118l_bool(U_68) ),
inference(miniscope,[status(thm)],[f_52_2]) ).
cnf(f_52_4,plain,
( is_bool(hAPP_f785543729l_bool(U_68,U_67))
| ~ is_fun631676118l_bool(U_68) ),
inference(clausify,[status(thm)],[f_52_3]) ).
fof(f_53_1,plain,
! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_f355113919i_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013]) ).
fof(f_53_2,plain,
! [U_70,U_69] : is_fun917378774i_bool(hAPP_f355113919i_bool(U_70,U_69)),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
is_fun917378774i_bool(hAPP_f355113919i_bool(U_70,U_69)),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f483434675l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014]) ).
fof(f_54_2,plain,
! [U_72,U_71] : is_bool(hAPP_f483434675l_bool(U_72,U_71)),
inference(variable_rename,[status(thm)],[f_54_1]) ).
cnf(f_54_3,plain,
is_bool(hAPP_f483434675l_bool(U_72,U_71)),
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_55_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1018082273l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M]) ).
fof(f_55_2,plain,
! [U_74,U_73] : is_bool(hAPP_f1018082273l_bool(U_74,U_73)),
inference(variable_rename,[status(thm)],[f_55_1]) ).
cnf(f_55_3,plain,
is_bool(hAPP_f1018082273l_bool(U_74,U_73)),
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_56_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1271180905l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O]) ).
fof(f_56_2,plain,
! [U_76,U_75] : is_bool(hAPP_f1271180905l_bool(U_76,U_75)),
inference(variable_rename,[status(thm)],[f_56_1]) ).
cnf(f_56_3,plain,
is_bool(hAPP_f1271180905l_bool(U_76,U_75)),
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1550037191l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____]) ).
fof(f_57_2,plain,
! [U_78,U_77] : is_bool(hAPP_f1550037191l_bool(U_78,U_77)),
inference(variable_rename,[status(thm)],[f_57_1]) ).
cnf(f_57_3,plain,
is_bool(hAPP_f1550037191l_bool(U_78,U_77)),
inference(clausify,[status(thm)],[f_57_2]) ).
fof(f_58_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1895985727l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____]) ).
fof(f_58_2,plain,
! [U_80,U_79] : is_bool(hAPP_f1895985727l_bool(U_80,U_79)),
inference(variable_rename,[status(thm)],[f_58_1]) ).
cnf(f_58_3,plain,
is_bool(hAPP_f1895985727l_bool(U_80,U_79)),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f234874197l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew]) ).
fof(f_59_2,plain,
! [U_82,U_81] : is_bool(hAPP_f234874197l_bool(U_82,U_81)),
inference(variable_rename,[status(thm)],[f_59_1]) ).
cnf(f_59_3,plain,
is_bool(hAPP_f234874197l_bool(U_82,U_81)),
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f500145249l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015]) ).
fof(f_60_2,plain,
! [U_84,U_83] : is_bool(hAPP_f500145249l_bool(U_84,U_83)),
inference(variable_rename,[status(thm)],[f_60_1]) ).
cnf(f_60_3,plain,
is_bool(hAPP_f500145249l_bool(U_84,U_83)),
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_f213304539l_bool(B_1_1,B_2_1))
| ~ is_fun631676118l_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016]) ).
fof(f_61_2,plain,
! [U_86,U_85] :
( is_bool(hAPP_f213304539l_bool(U_86,U_85))
| ~ is_fun631676118l_bool(U_85) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
cnf(f_61_3,plain,
( is_bool(hAPP_f213304539l_bool(U_86,U_85))
| ~ is_fun631676118l_bool(U_85) ),
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1766869725l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell]) ).
fof(f_62_2,plain,
! [U_88,U_87] : is_bool(hAPP_f1766869725l_bool(U_88,U_87)),
inference(variable_rename,[status(thm)],[f_62_1]) ).
cnf(f_62_3,plain,
is_bool(hAPP_f1766869725l_bool(U_88,U_87)),
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f1279200745l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017]) ).
fof(f_63_2,plain,
! [U_90,U_89] : is_bool(hAPP_f1279200745l_bool(U_90,U_89)),
inference(variable_rename,[status(thm)],[f_63_1]) ).
cnf(f_63_3,plain,
is_bool(hAPP_f1279200745l_bool(U_90,U_89)),
inference(clausify,[status(thm)],[f_63_2]) ).
fof(f_64_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f592909149l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel]) ).
fof(f_64_2,plain,
! [U_92,U_91] : is_bool(hAPP_f592909149l_bool(U_92,U_91)),
inference(variable_rename,[status(thm)],[f_64_1]) ).
cnf(f_64_3,plain,
is_bool(hAPP_f592909149l_bool(U_92,U_91)),
inference(clausify,[status(thm)],[f_64_2]) ).
fof(f_65_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f526292585l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018]) ).
fof(f_65_2,plain,
! [U_94,U_93] : is_bool(hAPP_f526292585l_bool(U_94,U_93)),
inference(variable_rename,[status(thm)],[f_65_1]) ).
cnf(f_65_3,plain,
is_bool(hAPP_f526292585l_bool(U_94,U_93)),
inference(clausify,[status(thm)],[f_65_2]) ).
fof(f_66_1,plain,
! [B_1_1,B_2_1] : is_bool(hAPP_f460310451l_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje]) ).
fof(f_66_2,plain,
! [U_96,U_95] : is_bool(hAPP_f460310451l_bool(U_96,U_95)),
inference(variable_rename,[status(thm)],[f_66_1]) ).
cnf(f_66_3,plain,
is_bool(hAPP_f460310451l_bool(U_96,U_95)),
inference(clausify,[status(thm)],[f_66_2]) ).
fof(f_67_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_f503012287l_bool(B_1_1,B_2_1))
| ~ is_fun432044380l_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019]) ).
fof(f_67_2,plain,
! [U_98,U_97] :
( is_bool(hAPP_f503012287l_bool(U_98,U_97))
| ~ is_fun432044380l_bool(U_97) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
cnf(f_67_3,plain,
( is_bool(hAPP_f503012287l_bool(U_98,U_97))
| ~ is_fun432044380l_bool(U_97) ),
inference(clausify,[status(thm)],[f_67_2]) ).
fof(f_68_1,plain,
! [B_1_1,B_2_1] :
( is_Arr625519182e_indi(hAPP_f1659504677e_indi(B_1_1,B_2_1))
| ~ is_fun282293932t_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__]) ).
fof(f_68_2,plain,
! [U_100,U_99] :
( is_Arr625519182e_indi(hAPP_f1659504677e_indi(U_100,U_99))
| ~ is_fun282293932t_bool(U_99) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
cnf(f_68_3,plain,
( is_Arr625519182e_indi(hAPP_f1659504677e_indi(U_100,U_99))
| ~ is_fun282293932t_bool(U_99) ),
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_f745298353l_bool(B_1_1,B_2_1))
| ~ is_fun282293932t_bool(B_2_1)
| ~ is_fun432044380l_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020]) ).
fof(f_69_2,plain,
! [U_102,U_101] :
( is_bool(hAPP_f745298353l_bool(U_102,U_101))
| ~ is_fun282293932t_bool(U_101)
| ~ is_fun432044380l_bool(U_102) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
cnf(f_69_3,plain,
( is_bool(hAPP_f745298353l_bool(U_102,U_101))
| ~ is_fun282293932t_bool(U_101)
| ~ is_fun432044380l_bool(U_102) ),
inference(clausify,[status(thm)],[f_69_2]) ).
fof(f_70_1,plain,
! [B_1_1,B_2_1] :
( is_fun917378774i_bool(hAPP_f352490559i_bool(B_1_1,B_2_1))
| ~ is_fun282293932t_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021]) ).
fof(f_70_2,plain,
! [U_104,U_103] :
( is_fun917378774i_bool(hAPP_f352490559i_bool(U_104,U_103))
| ~ is_fun282293932t_bool(U_103) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
cnf(f_70_3,plain,
( is_fun917378774i_bool(hAPP_f352490559i_bool(U_104,U_103))
| ~ is_fun282293932t_bool(U_103) ),
inference(clausify,[status(thm)],[f_70_2]) ).
fof(f_71_1,plain,
! [B_1_1,B_2_1] :
( is_fun432044380l_bool(hAPP_f2056167603l_bool(B_1_1,B_2_1))
| ~ is_fun282293932t_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022]) ).
fof(f_71_2,plain,
! [U_106,U_105] :
( is_fun432044380l_bool(hAPP_f2056167603l_bool(U_106,U_105))
| ~ is_fun282293932t_bool(U_105) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
cnf(f_71_3,plain,
( is_fun432044380l_bool(hAPP_f2056167603l_bool(U_106,U_105))
| ~ is_fun282293932t_bool(U_105) ),
inference(clausify,[status(thm)],[f_71_2]) ).
fof(f_72_1,plain,
! [B_1_1,B_2_1] :
( is_fun282293932t_bool(hAPP_f1673487381t_bool(B_1_1,B_2_1))
| ~ is_fun282293932t_bool(B_2_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023]) ).
fof(f_72_2,plain,
! [U_108,U_107] :
( is_fun282293932t_bool(hAPP_f1673487381t_bool(U_108,U_107))
| ~ is_fun282293932t_bool(U_107) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
cnf(f_72_3,plain,
( is_fun282293932t_bool(hAPP_f1673487381t_bool(U_108,U_107))
| ~ is_fun282293932t_bool(U_107) ),
inference(clausify,[status(thm)],[f_72_2]) ).
fof(f_73_1,plain,
! [B_1_1,B_2_1] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_]) ).
fof(f_73_2,plain,
! [U_110,U_109] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(U_110,U_109)),
inference(variable_rename,[status(thm)],[f_73_1]) ).
cnf(f_73_3,plain,
is_Arr625519182e_indi(hAPP_P2024088443e_indi(U_110,U_109)),
inference(clausify,[status(thm)],[f_73_2]) ).
fof(f_74_1,plain,
! [B_1_1,B_2_1] :
( is_bool(hAPP_P2075002375t_bool(B_1_1,B_2_1))
| ~ is_fun282293932t_bool(B_1_1) ),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024]) ).
fof(f_74_2,plain,
! [U_112,U_111] :
( is_bool(hAPP_P2075002375t_bool(U_112,U_111))
| ~ is_fun282293932t_bool(U_112) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_112] :
( ! [U_111] : is_bool(hAPP_P2075002375t_bool(U_112,U_111))
| ~ is_fun282293932t_bool(U_112) ),
inference(miniscope,[status(thm)],[f_74_2]) ).
cnf(f_74_4,plain,
( is_bool(hAPP_P2075002375t_bool(U_112,U_111))
| ~ is_fun282293932t_bool(U_112) ),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [B_1_1,B_2_1] : is_fun917378774i_bool(hAPP_P907763049i_bool(B_1_1,B_2_1)),
inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025]) ).
fof(f_75_2,plain,
! [U_114,U_113] : is_fun917378774i_bool(hAPP_P907763049i_bool(U_114,U_113)),
inference(variable_rename,[status(thm)],[f_75_1]) ).
cnf(f_75_3,plain,
is_fun917378774i_bool(hAPP_P907763049i_bool(U_114,U_113)),
inference(clausify,[status(thm)],[f_75_2]) ).
fof(f_76_1,plain,
! [B_1_1] : is_fun432044380l_bool(member1056080916le_alt(B_1_1)),
inference(fof_nnf,[status(thm)],[gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt]) ).
fof(f_76_2,plain,
! [U_115] : is_fun432044380l_bool(member1056080916le_alt(U_115)),
inference(variable_rename,[status(thm)],[f_76_1]) ).
cnf(f_76_3,plain,
is_fun432044380l_bool(member1056080916le_alt(U_115)),
inference(clausify,[status(thm)],[f_76_2]) ).
fof(f_77_1,plain,
is_fun282293932t_bool(lab),
inference(fof_nnf,[status(thm)],[gsy_v_Lab____]) ).
cnf(f_77_2,plain,
is_fun282293932t_bool(lab),
inference(clausify,[status(thm)],[f_77_1]) ).
fof(f_78_1,plain,
is_fun282293932t_bool(lba),
inference(fof_nnf,[status(thm)],[gsy_v_Lba____]) ).
cnf(f_78_2,plain,
is_fun282293932t_bool(lba),
inference(clausify,[status(thm)],[f_78_1]) ).
fof(f_79_1,plain,
is_Arr553848933le_alt(a),
inference(fof_nnf,[status(thm)],[gsy_v_a____]) ).
cnf(f_79_2,plain,
is_Arr553848933le_alt(a),
inference(clausify,[status(thm)],[f_79_1]) ).
fof(f_80_1,plain,
is_Arr553848933le_alt(b),
inference(fof_nnf,[status(thm)],[gsy_v_b____]) ).
cnf(f_80_2,plain,
is_Arr553848933le_alt(b),
inference(clausify,[status(thm)],[f_80_1]) ).
fof(f_81_1,plain,
is_Arr553848933le_alt(c),
inference(fof_nnf,[status(thm)],[gsy_v_c____]) ).
cnf(f_81_2,plain,
is_Arr553848933le_alt(c),
inference(clausify,[status(thm)],[f_81_1]) ).
fof(f_82_1,plain,
is_Arr553848933le_alt(d),
inference(fof_nnf,[status(thm)],[gsy_v_d____]) ).
cnf(f_82_2,plain,
is_Arr553848933le_alt(d),
inference(clausify,[status(thm)],[f_82_1]) ).
fof(f_83_1,plain,
is_Arr553848933le_alt(e),
inference(fof_nnf,[status(thm)],[gsy_v_e____]) ).
cnf(f_83_2,plain,
is_Arr553848933le_alt(e),
inference(clausify,[status(thm)],[f_83_1]) ).
fof(f_84_1,plain,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
inference(fof_nnf,[status(thm)],[fact_0_assms_I3_J]) ).
cnf(f_84_2,plain,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
inference(clausify,[status(thm)],[f_84_1]) ).
fof(f_85_1,plain,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
inference(fof_nnf,[status(thm)],[fact_1_u]) ).
cnf(f_85_2,plain,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
inference(clausify,[status(thm)],[f_85_1]) ).
fof(f_86_1,plain,
c != d,
inference(fof_nnf,[status(thm)],[fact_2__096c_A_126_061_Ad_096]) ).
cnf(f_86_2,plain,
c != d,
inference(clausify,[status(thm)],[f_86_1]) ).
fof(f_87_1,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
inference(fof_nnf,[status(thm)],[fact_3__096P_A_058_AProf_096]) ).
cnf(f_87_2,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
inference(clausify,[status(thm)],[f_87_1]) ).
fof(f_88_1,plain,
! [X_2,Y_1,L,Z_1] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),Z_1)))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
& X_2 != Z_1 )
| ( X_2 = Y_1
& X_2 = Z_1 )
| Y_1 = Z_1 )
& ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
| X_2 = Z_1 )
& ( X_2 != Y_1
| X_2 != Z_1 )
& Y_1 != Z_1 )
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),Z_1))) ) )
| ~ is_Arr553848933le_alt(Z_1)
| ~ is_Arr553848933le_alt(Y_1)
| ~ is_Arr553848933le_alt(X_2) ),
inference(fof_nnf,[status(thm)],[fact_4_in__mkbot]) ).
fof(f_88_2,plain,
! [U_119,U_118,U_117,U_116] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116)))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),U_117))
& U_119 != U_116 )
| ( U_119 = U_118
& U_119 = U_116 )
| U_118 = U_116 )
& ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),U_117))
| U_119 = U_116 )
& ( U_119 != U_118
| U_119 != U_116 )
& U_118 != U_116 )
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116))) ) )
| ~ is_Arr553848933le_alt(U_116)
| ~ is_Arr553848933le_alt(U_118)
| ~ is_Arr553848933le_alt(U_119) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
cnf(f_88_3,plain,
( U_118 != U_116
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116)))
| ~ is_Arr553848933le_alt(U_116)
| ~ is_Arr553848933le_alt(U_118)
| ~ is_Arr553848933le_alt(U_119) ),
inference(clausify,[status(thm)],[f_88_2]) ).
cnf(f_88_4,plain,
( U_119 != U_118
| U_119 != U_116
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116)))
| ~ is_Arr553848933le_alt(U_116)
| ~ is_Arr553848933le_alt(U_118)
| ~ is_Arr553848933le_alt(U_119) ),
inference(clausify,[status(thm)],[f_88_2]) ).
cnf(f_88_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),U_117))
| U_119 = U_116
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116)))
| ~ is_Arr553848933le_alt(U_116)
| ~ is_Arr553848933le_alt(U_118)
| ~ is_Arr553848933le_alt(U_119) ),
inference(clausify,[status(thm)],[f_88_2]) ).
cnf(f_88_6,plain,
( U_119 != U_116
| U_119 = U_116
| U_118 = U_116
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116)))
| ~ is_Arr553848933le_alt(U_116)
| ~ is_Arr553848933le_alt(U_118)
| ~ is_Arr553848933le_alt(U_119) ),
inference(clausify,[status(thm)],[f_88_2]) ).
cnf(f_88_7,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),U_117))
| U_119 = U_116
| U_118 = U_116
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116)))
| ~ is_Arr553848933le_alt(U_116)
| ~ is_Arr553848933le_alt(U_118)
| ~ is_Arr553848933le_alt(U_119) ),
inference(clausify,[status(thm)],[f_88_2]) ).
cnf(f_88_8,plain,
( U_119 != U_116
| U_119 = U_118
| U_118 = U_116
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116)))
| ~ is_Arr553848933le_alt(U_116)
| ~ is_Arr553848933le_alt(U_118)
| ~ is_Arr553848933le_alt(U_119) ),
inference(clausify,[status(thm)],[f_88_2]) ).
cnf(f_88_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),U_117))
| U_119 = U_118
| U_118 = U_116
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_119,U_118)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_117),U_116)))
| ~ is_Arr553848933le_alt(U_116)
| ~ is_Arr553848933le_alt(U_118)
| ~ is_Arr553848933le_alt(U_119) ),
inference(clausify,[status(thm)],[f_88_2]) ).
fof(f_89_1,plain,
! [X_2,Y_1,L,Z_1] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),Z_1)))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
& Y_1 != Z_1 )
| ( X_2 = Y_1
& Y_1 = Z_1 )
| X_2 = Z_1 )
& ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
| Y_1 = Z_1 )
& ( X_2 != Y_1
| Y_1 != Z_1 )
& X_2 != Z_1 )
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),Z_1))) ) )
| ~ is_Arr553848933le_alt(Z_1)
| ~ is_Arr553848933le_alt(Y_1)
| ~ is_Arr553848933le_alt(X_2) ),
inference(fof_nnf,[status(thm)],[fact_5_in__mktop]) ).
fof(f_89_2,plain,
! [U_123,U_122,U_121,U_120] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120)))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),U_121))
& U_122 != U_120 )
| ( U_123 = U_122
& U_122 = U_120 )
| U_123 = U_120 )
& ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),U_121))
| U_122 = U_120 )
& ( U_123 != U_122
| U_122 != U_120 )
& U_123 != U_120 )
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120))) ) )
| ~ is_Arr553848933le_alt(U_120)
| ~ is_Arr553848933le_alt(U_122)
| ~ is_Arr553848933le_alt(U_123) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
cnf(f_89_3,plain,
( U_123 != U_120
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120)))
| ~ is_Arr553848933le_alt(U_120)
| ~ is_Arr553848933le_alt(U_122)
| ~ is_Arr553848933le_alt(U_123) ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_4,plain,
( U_123 != U_122
| U_122 != U_120
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120)))
| ~ is_Arr553848933le_alt(U_120)
| ~ is_Arr553848933le_alt(U_122)
| ~ is_Arr553848933le_alt(U_123) ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),U_121))
| U_122 = U_120
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120)))
| ~ is_Arr553848933le_alt(U_120)
| ~ is_Arr553848933le_alt(U_122)
| ~ is_Arr553848933le_alt(U_123) ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_6,plain,
( U_122 != U_120
| U_122 = U_120
| U_123 = U_120
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120)))
| ~ is_Arr553848933le_alt(U_120)
| ~ is_Arr553848933le_alt(U_122)
| ~ is_Arr553848933le_alt(U_123) ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_7,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),U_121))
| U_122 = U_120
| U_123 = U_120
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120)))
| ~ is_Arr553848933le_alt(U_120)
| ~ is_Arr553848933le_alt(U_122)
| ~ is_Arr553848933le_alt(U_123) ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_8,plain,
( U_122 != U_120
| U_123 = U_122
| U_123 = U_120
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120)))
| ~ is_Arr553848933le_alt(U_120)
| ~ is_Arr553848933le_alt(U_122)
| ~ is_Arr553848933le_alt(U_123) ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),U_121))
| U_123 = U_122
| U_123 = U_120
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_123,U_122)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_121),U_120)))
| ~ is_Arr553848933le_alt(U_120)
| ~ is_Arr553848933le_alt(U_122)
| ~ is_Arr553848933le_alt(U_123) ),
inference(clausify,[status(thm)],[f_89_2]) ).
fof(f_90_1,plain,
! [P_1,Pa,A_8,B_8,Aa,Ba] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) ) )
| ? [I] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) ) )
& is_Arr625519182e_indi(I) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
| Ba = A_8
| Aa = B_8
| A_8 = B_8
| Aa = Ba
| ~ is_Arr553848933le_alt(Ba)
| ~ is_Arr553848933le_alt(Aa)
| ~ is_Arr553848933le_alt(B_8)
| ~ is_Arr553848933le_alt(A_8) ),
inference(fof_nnf,[status(thm)],[fact_6__C2_C]) ).
fof(f_90_2,plain,
! [U_130,U_129,U_128,U_127,U_126,U_125] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129))) ) )
| ? [U_124] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,U_124)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,U_124))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,U_124)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,U_124))) ) )
& is_Arr625519182e_indi(U_124) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
! [U_130,U_129,U_128,U_127,U_126,U_125] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125)))) ) )
& is_Arr625519182e_indi(sK1(U_130,U_129,U_128,U_127,U_126,U_125)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_124,sK1(U_130,U_129,U_128,U_127,U_126,U_125))],[f_90_2]) ).
cnf(f_90_4,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| is_Arr625519182e_indi(sK1(U_130,U_129,U_128,U_127,U_126,U_125))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| is_Arr625519182e_indi(sK1(U_130,U_129,U_128,U_127,U_126,U_125))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_6,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_7,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_8,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_10,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_11,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_12,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_13,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_A1374816149t_bool(U_129,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_A1374816149t_bool(U_130,sK1(U_130,U_129,U_128,U_127,U_126,U_125))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_126,U_125)),hAPP_f695124765t_bool(f,U_129)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_128,U_127)),hAPP_f695124765t_bool(f,U_130)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_130),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_129),arrow_413697182e_Prof))
| U_125 = U_128
| U_126 = U_127
| U_128 = U_127
| U_126 = U_125
| ~ is_Arr553848933le_alt(U_125)
| ~ is_Arr553848933le_alt(U_126)
| ~ is_Arr553848933le_alt(U_127)
| ~ is_Arr553848933le_alt(U_128) ),
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
! [P_1,Pa,A_8,B_8,Aa,Ba] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
| ? [I] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) ) )
& is_Arr625519182e_indi(I) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
| Ba = A_8
| Aa = B_8
| A_8 = B_8
| Aa = Ba
| ~ is_Arr553848933le_alt(Ba)
| ~ is_Arr553848933le_alt(Aa)
| ~ is_Arr553848933le_alt(B_8)
| ~ is_Arr553848933le_alt(A_8) ),
inference(fof_nnf,[status(thm)],[fact_7__C1_C]) ).
fof(f_91_2,plain,
! [U_137,U_136,U_135,U_134,U_133,U_132] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_f695124765t_bool(f,U_137)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_f695124765t_bool(f,U_136)))
| ? [U_131] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_A1374816149t_bool(U_136,U_131)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_A1374816149t_bool(U_137,U_131))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_A1374816149t_bool(U_137,U_131)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_A1374816149t_bool(U_136,U_131))) ) )
& is_Arr625519182e_indi(U_131) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_137),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_136),arrow_413697182e_Prof))
| U_132 = U_135
| U_133 = U_134
| U_135 = U_134
| U_133 = U_132
| ~ is_Arr553848933le_alt(U_132)
| ~ is_Arr553848933le_alt(U_133)
| ~ is_Arr553848933le_alt(U_134)
| ~ is_Arr553848933le_alt(U_135) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
! [U_137,U_136,U_135,U_134,U_133,U_132] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_f695124765t_bool(f,U_137)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_f695124765t_bool(f,U_136)))
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_A1374816149t_bool(U_136,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_A1374816149t_bool(U_137,sK2(U_137,U_136,U_135,U_134,U_133,U_132)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_A1374816149t_bool(U_137,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_A1374816149t_bool(U_136,sK2(U_137,U_136,U_135,U_134,U_133,U_132)))) ) )
& is_Arr625519182e_indi(sK2(U_137,U_136,U_135,U_134,U_133,U_132)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_137),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_136),arrow_413697182e_Prof))
| U_132 = U_135
| U_133 = U_134
| U_135 = U_134
| U_133 = U_132
| ~ is_Arr553848933le_alt(U_132)
| ~ is_Arr553848933le_alt(U_133)
| ~ is_Arr553848933le_alt(U_134)
| ~ is_Arr553848933le_alt(U_135) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_131,sK2(U_137,U_136,U_135,U_134,U_133,U_132))],[f_91_2]) ).
cnf(f_91_4,plain,
( is_Arr625519182e_indi(sK2(U_137,U_136,U_135,U_134,U_133,U_132))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_f695124765t_bool(f,U_137)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_f695124765t_bool(f,U_136)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_137),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_136),arrow_413697182e_Prof))
| U_132 = U_135
| U_133 = U_134
| U_135 = U_134
| U_133 = U_132
| ~ is_Arr553848933le_alt(U_132)
| ~ is_Arr553848933le_alt(U_133)
| ~ is_Arr553848933le_alt(U_134)
| ~ is_Arr553848933le_alt(U_135) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_A1374816149t_bool(U_137,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_A1374816149t_bool(U_136,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_f695124765t_bool(f,U_137)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_f695124765t_bool(f,U_136)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_137),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_136),arrow_413697182e_Prof))
| U_132 = U_135
| U_133 = U_134
| U_135 = U_134
| U_133 = U_132
| ~ is_Arr553848933le_alt(U_132)
| ~ is_Arr553848933le_alt(U_133)
| ~ is_Arr553848933le_alt(U_134)
| ~ is_Arr553848933le_alt(U_135) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_6,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_A1374816149t_bool(U_136,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_A1374816149t_bool(U_136,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_f695124765t_bool(f,U_137)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_f695124765t_bool(f,U_136)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_137),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_136),arrow_413697182e_Prof))
| U_132 = U_135
| U_133 = U_134
| U_135 = U_134
| U_133 = U_132
| ~ is_Arr553848933le_alt(U_132)
| ~ is_Arr553848933le_alt(U_133)
| ~ is_Arr553848933le_alt(U_134)
| ~ is_Arr553848933le_alt(U_135) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_7,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_A1374816149t_bool(U_137,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_A1374816149t_bool(U_137,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_f695124765t_bool(f,U_137)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_f695124765t_bool(f,U_136)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_137),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_136),arrow_413697182e_Prof))
| U_132 = U_135
| U_133 = U_134
| U_135 = U_134
| U_133 = U_132
| ~ is_Arr553848933le_alt(U_132)
| ~ is_Arr553848933le_alt(U_133)
| ~ is_Arr553848933le_alt(U_134)
| ~ is_Arr553848933le_alt(U_135) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_8,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_A1374816149t_bool(U_136,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_A1374816149t_bool(U_137,sK2(U_137,U_136,U_135,U_134,U_133,U_132))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_135,U_134)),hAPP_f695124765t_bool(f,U_137)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_133,U_132)),hAPP_f695124765t_bool(f,U_136)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_137),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_136),arrow_413697182e_Prof))
| U_132 = U_135
| U_133 = U_134
| U_135 = U_134
| U_133 = U_132
| ~ is_Arr553848933le_alt(U_132)
| ~ is_Arr553848933le_alt(U_133)
| ~ is_Arr553848933le_alt(U_134)
| ~ is_Arr553848933le_alt(U_135) ),
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
! [P_1,Pa,Ca,Aa,Ba] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_f695124765t_bool(f,P_1))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_f695124765t_bool(f,P_1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) ) )
| ? [I] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_A1374816149t_bool(P_1,I))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Ca)),hAPP_A1374816149t_bool(P_1,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) ) )
& is_Arr625519182e_indi(I) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
| Aa = Ca
| Ba = Ca
| Aa = Ba
| ~ is_Arr553848933le_alt(Ba)
| ~ is_Arr553848933le_alt(Aa)
| ~ is_Arr553848933le_alt(Ca) ),
inference(fof_nnf,[status(thm)],[fact_8__C4_C]) ).
fof(f_92_2,plain,
! [U_143,U_142,U_141,U_140,U_139] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142))) ) )
| ? [U_138] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,U_138)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,U_138))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,U_138)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,U_138))) ) )
& is_Arr625519182e_indi(U_138) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
! [U_143,U_142,U_141,U_140,U_139] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139)))) ) )
& is_Arr625519182e_indi(sK3(U_143,U_142,U_141,U_140,U_139)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_138,sK3(U_143,U_142,U_141,U_140,U_139))],[f_92_2]) ).
cnf(f_92_4,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| is_Arr625519182e_indi(sK3(U_143,U_142,U_141,U_140,U_139))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| is_Arr625519182e_indi(sK3(U_143,U_142,U_141,U_140,U_139))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_6,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_7,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_8,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_10,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_11,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_12,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_13,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_A1374816149t_bool(U_142,sK3(U_143,U_142,U_141,U_140,U_139))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_A1374816149t_bool(U_143,sK3(U_143,U_142,U_141,U_140,U_139))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_140,U_139)),hAPP_f695124765t_bool(f,U_142)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_139,U_141)),hAPP_f695124765t_bool(f,U_143)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_143),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_142),arrow_413697182e_Prof))
| U_140 = U_141
| U_139 = U_141
| U_140 = U_139
| ~ is_Arr553848933le_alt(U_139)
| ~ is_Arr553848933le_alt(U_140)
| ~ is_Arr553848933le_alt(U_141) ),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [P_1,Pa,A_8,B_8,Aa,Ba] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_f695124765t_bool(f,P_1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) ) )
| ? [I] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_8,B_8)),hAPP_A1374816149t_bool(P_1,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) ) )
& is_Arr625519182e_indi(I) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
| A_8 = B_8
| Aa = Ba
| ~ is_Arr553848933le_alt(Ba)
| ~ is_Arr553848933le_alt(Aa)
| ~ is_Arr553848933le_alt(B_8)
| ~ is_Arr553848933le_alt(A_8) ),
inference(fof_nnf,[status(thm)],[fact_9_pairwise__neutrality]) ).
fof(f_93_2,plain,
! [U_150,U_149,U_148,U_147,U_146,U_145] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149))) ) )
| ? [U_144] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,U_144)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,U_144))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,U_144)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,U_144))) ) )
& is_Arr625519182e_indi(U_144) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
! [U_150,U_149,U_148,U_147,U_146,U_145] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145)))) ) )
& is_Arr625519182e_indi(sK4(U_150,U_149,U_148,U_147,U_146,U_145)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_144,sK4(U_150,U_149,U_148,U_147,U_146,U_145))],[f_93_2]) ).
cnf(f_93_4,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| is_Arr625519182e_indi(sK4(U_150,U_149,U_148,U_147,U_146,U_145))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| is_Arr625519182e_indi(sK4(U_150,U_149,U_148,U_147,U_146,U_145))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_6,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_7,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_8,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_10,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_11,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_12,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_13,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_A1374816149t_bool(U_149,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_A1374816149t_bool(U_150,sK4(U_150,U_149,U_148,U_147,U_146,U_145))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_146,U_145)),hAPP_f695124765t_bool(f,U_149)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_148,U_147)),hAPP_f695124765t_bool(f,U_150)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_150),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_149),arrow_413697182e_Prof))
| U_148 = U_147
| U_146 = U_145
| ~ is_Arr553848933le_alt(U_145)
| ~ is_Arr553848933le_alt(U_146)
| ~ is_Arr553848933le_alt(U_147)
| ~ is_Arr553848933le_alt(U_148) ),
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_1,plain,
! [P_1,Pa,Aa,Ba] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_f695124765t_bool(f,P_1))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_f695124765t_bool(f,P_1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_f695124765t_bool(f,Pa))) ) )
| ? [I] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_A1374816149t_bool(P_1,I))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),hAPP_A1374816149t_bool(P_1,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),hAPP_A1374816149t_bool(Pa,I))) ) )
& is_Arr625519182e_indi(I) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(P_1),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Pa),arrow_413697182e_Prof))
| Aa = Ba
| ~ is_Arr553848933le_alt(Ba)
| ~ is_Arr553848933le_alt(Aa) ),
inference(fof_nnf,[status(thm)],[fact_10__C3_C]) ).
fof(f_94_2,plain,
! [U_155,U_154,U_153,U_152] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154))) ) )
| ? [U_151] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,U_151)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,U_151))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,U_151)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,U_151))) ) )
& is_Arr625519182e_indi(U_151) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
! [U_155,U_154,U_153,U_152] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152)))) ) )
& is_Arr625519182e_indi(sK5(U_155,U_154,U_153,U_152)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_151,sK5(U_155,U_154,U_153,U_152))],[f_94_2]) ).
cnf(f_94_4,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| is_Arr625519182e_indi(sK5(U_155,U_154,U_153,U_152))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| is_Arr625519182e_indi(sK5(U_155,U_154,U_153,U_152))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_6,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_7,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_8,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_10,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_11,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_12,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_13,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_A1374816149t_bool(U_154,sK5(U_155,U_154,U_153,U_152))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_A1374816149t_bool(U_155,sK5(U_155,U_154,U_153,U_152))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_153,U_152)),hAPP_f695124765t_bool(f,U_154)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_152,U_153)),hAPP_f695124765t_bool(f,U_155)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_155),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_154),arrow_413697182e_Prof))
| U_153 = U_152
| ~ is_Arr553848933le_alt(U_152)
| ~ is_Arr553848933le_alt(U_153) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [I] :
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,I)))
| ( ( ( ~ 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)))
& hAPP_A588601142di_nat(h,I) != n )
| ( ~ 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)))
& hAPP_A588601142di_nat(h,I) = n ) )
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) )
| ( ~ 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)))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) ) )
& ( ( ( ( ( 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)))
| hAPP_A588601142di_nat(h,I) = n )
& ( 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)))
| hAPP_A588601142di_nat(h,I) != n ) )
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) )
& ( 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)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) ) )
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,I))) ) ),
inference(fof_nnf,[status(thm)],[fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J]) ).
fof(f_95_2,plain,
! [U_156] :
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_156)))
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_156)),e)))
& hAPP_A588601142di_nat(h,U_156) != n )
| ( ~ 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,U_156)),c),e)))
& hAPP_A588601142di_nat(h,U_156) = n ) )
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_156)),n)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_156)),e)))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_156)),n)) ) )
& ( ( ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_156)),e)))
| hAPP_A588601142di_nat(h,U_156) = n )
& ( 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,U_156)),c),e)))
| hAPP_A588601142di_nat(h,U_156) != n ) )
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_156)),n)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_156)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_156)),n)) ) )
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_156))) ) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
( ! [U_158] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158)))
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_158)),e)))
& hAPP_A588601142di_nat(h,U_158) != n )
| ( ~ 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,U_158)),c),e)))
& hAPP_A588601142di_nat(h,U_158) = n ) )
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_158)),e)))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n)) ) )
& ! [U_157] :
( ( ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_157)),e)))
| hAPP_A588601142di_nat(h,U_157) = n )
& ( 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,U_157)),c),e)))
| hAPP_A588601142di_nat(h,U_157) != n ) )
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_157)),n)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_157)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_157)),n)) ) )
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_157))) ) ),
inference(miniscope,[status(thm)],[f_95_2]) ).
cnf(f_95_4,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_157)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_157)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_157))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_5,plain,
( 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,U_157)),c),e)))
| hAPP_A588601142di_nat(h,U_157) != n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_157)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_157))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_6,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_157)),e)))
| hAPP_A588601142di_nat(h,U_157) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_157)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_157))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_7,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_8,plain,
( hAPP_A588601142di_nat(h,U_158) != n
| hAPP_A588601142di_nat(h,U_158) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_158)),e)))
| hAPP_A588601142di_nat(h,U_158) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_10,plain,
( hAPP_A588601142di_nat(h,U_158) != n
| ~ 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,U_158)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_11,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_158)),e)))
| ~ 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,U_158)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_12,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_158)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_158)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_13,plain,
( hAPP_A588601142di_nat(h,U_158) != n
| hAPP_A588601142di_nat(h,U_158) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_158)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_14,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_158)),e)))
| hAPP_A588601142di_nat(h,U_158) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_158)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_15,plain,
( hAPP_A588601142di_nat(h,U_158) != n
| ~ 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,U_158)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_158)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_16,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_158)),e)))
| ~ 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,U_158)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_158)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,U_158))) ),
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,h),n)))),
inference(fof_nnf,[status(thm)],[fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0]) ).
cnf(f_96_2,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,h),n)))),
inference(clausify,[status(thm)],[f_96_1]) ).
fof(f_97_1,plain,
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)))))),
inference(fof_nnf,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(f_97_2,plain,
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)))))),
inference(clausify,[status(thm)],[f_97_1]) ).
fof(f_98_1,plain,
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
| ~ 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)))))) )
& ( 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))))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[fact_14_PW]) ).
cnf(f_98_2,plain,
( 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))))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ),
inference(clausify,[status(thm)],[f_98_1]) ).
cnf(f_98_3,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
| ~ 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)))))) ),
inference(clausify,[status(thm)],[f_98_1]) ).
fof(f_99_1,plain,
! [Pa] :
( ( ! [X1] : hBOOL(hAPP_P2075002375t_bool(Pa,X1))
| ? [A_1,B_1] :
( ~ hBOOL(hAPP_P2075002375t_bool(Pa,produc171383831le_alt(A_1,B_1)))
& is_Arr553848933le_alt(B_1)
& is_Arr553848933le_alt(A_1) ) )
& ( ! [A_1,B_1] :
( hBOOL(hAPP_P2075002375t_bool(Pa,produc171383831le_alt(A_1,B_1)))
| ~ is_Arr553848933le_alt(B_1)
| ~ is_Arr553848933le_alt(A_1) )
| ? [X1] : ~ hBOOL(hAPP_P2075002375t_bool(Pa,X1)) ) ),
inference(fof_nnf,[status(thm)],[fact_15_split__paired__All]) ).
fof(f_99_2,plain,
! [U_165] :
( ( ! [U_164] : hBOOL(hAPP_P2075002375t_bool(U_165,U_164))
| ? [U_163,U_162] :
( ~ hBOOL(hAPP_P2075002375t_bool(U_165,produc171383831le_alt(U_163,U_162)))
& is_Arr553848933le_alt(U_162)
& is_Arr553848933le_alt(U_163) ) )
& ( ! [U_161,U_160] :
( hBOOL(hAPP_P2075002375t_bool(U_165,produc171383831le_alt(U_161,U_160)))
| ~ is_Arr553848933le_alt(U_160)
| ~ is_Arr553848933le_alt(U_161) )
| ? [U_159] : ~ hBOOL(hAPP_P2075002375t_bool(U_165,U_159)) ) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
( ! [U_167] :
( ! [U_164] : hBOOL(hAPP_P2075002375t_bool(U_167,U_164))
| ? [U_163,U_162] :
( ~ hBOOL(hAPP_P2075002375t_bool(U_167,produc171383831le_alt(U_163,U_162)))
& is_Arr553848933le_alt(U_162)
& is_Arr553848933le_alt(U_163) ) )
& ! [U_166] :
( ! [U_161,U_160] :
( hBOOL(hAPP_P2075002375t_bool(U_166,produc171383831le_alt(U_161,U_160)))
| ~ is_Arr553848933le_alt(U_160)
| ~ is_Arr553848933le_alt(U_161) )
| ? [U_159] : ~ hBOOL(hAPP_P2075002375t_bool(U_166,U_159)) ) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
fof(f_99_4,plain,
( ! [U_167] :
( ! [U_164] : hBOOL(hAPP_P2075002375t_bool(U_167,U_164))
| ? [U_163,U_162] :
( ~ hBOOL(hAPP_P2075002375t_bool(U_167,produc171383831le_alt(U_163,U_162)))
& is_Arr553848933le_alt(U_162)
& is_Arr553848933le_alt(U_163) ) )
& ! [U_166] :
( ! [U_161,U_160] :
( hBOOL(hAPP_P2075002375t_bool(U_166,produc171383831le_alt(U_161,U_160)))
| ~ is_Arr553848933le_alt(U_160)
| ~ is_Arr553848933le_alt(U_161) )
| ~ hBOOL(hAPP_P2075002375t_bool(U_166,sK6(U_166))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_159,sK6(U_166))],[f_99_3]) ).
fof(f_99_5,plain,
( ! [U_167] :
( ! [U_164] : hBOOL(hAPP_P2075002375t_bool(U_167,U_164))
| ? [U_162] :
( ~ hBOOL(hAPP_P2075002375t_bool(U_167,produc171383831le_alt(sK7(U_167),U_162)))
& is_Arr553848933le_alt(U_162)
& is_Arr553848933le_alt(sK7(U_167)) ) )
& ! [U_166] :
( ! [U_161,U_160] :
( hBOOL(hAPP_P2075002375t_bool(U_166,produc171383831le_alt(U_161,U_160)))
| ~ is_Arr553848933le_alt(U_160)
| ~ is_Arr553848933le_alt(U_161) )
| ~ hBOOL(hAPP_P2075002375t_bool(U_166,sK6(U_166))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_163,sK7(U_167))],[f_99_4]) ).
fof(f_99_6,plain,
( ! [U_167] :
( ! [U_164] : hBOOL(hAPP_P2075002375t_bool(U_167,U_164))
| ( ~ hBOOL(hAPP_P2075002375t_bool(U_167,produc171383831le_alt(sK7(U_167),sK8(U_167))))
& is_Arr553848933le_alt(sK8(U_167))
& is_Arr553848933le_alt(sK7(U_167)) ) )
& ! [U_166] :
( ! [U_161,U_160] :
( hBOOL(hAPP_P2075002375t_bool(U_166,produc171383831le_alt(U_161,U_160)))
| ~ is_Arr553848933le_alt(U_160)
| ~ is_Arr553848933le_alt(U_161) )
| ~ hBOOL(hAPP_P2075002375t_bool(U_166,sK6(U_166))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_162,sK8(U_167))],[f_99_5]) ).
cnf(f_99_7,plain,
( hBOOL(hAPP_P2075002375t_bool(U_166,produc171383831le_alt(U_161,U_160)))
| ~ is_Arr553848933le_alt(U_160)
| ~ is_Arr553848933le_alt(U_161)
| ~ hBOOL(hAPP_P2075002375t_bool(U_166,sK6(U_166))) ),
inference(clausify,[status(thm)],[f_99_6]) ).
cnf(f_99_8,plain,
( is_Arr553848933le_alt(sK7(U_167))
| hBOOL(hAPP_P2075002375t_bool(U_167,U_164)) ),
inference(clausify,[status(thm)],[f_99_6]) ).
cnf(f_99_9,plain,
( is_Arr553848933le_alt(sK8(U_167))
| hBOOL(hAPP_P2075002375t_bool(U_167,U_164)) ),
inference(clausify,[status(thm)],[f_99_6]) ).
cnf(f_99_10,plain,
( ~ hBOOL(hAPP_P2075002375t_bool(U_167,produc171383831le_alt(sK7(U_167),sK8(U_167))))
| hBOOL(hAPP_P2075002375t_bool(U_167,U_164)) ),
inference(clausify,[status(thm)],[f_99_6]) ).
fof(f_100_1,plain,
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)),
inference(fof_nnf,[status(thm)],[fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai]) ).
cnf(f_100_2,plain,
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)),
inference(clausify,[status(thm)],[f_100_1]) ).
fof(f_101_1,plain,
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)))))),
inference(fof_nnf,[status(thm)],[fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(f_101_2,plain,
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)))))),
inference(clausify,[status(thm)],[f_101_1]) ).
fof(f_102_1,plain,
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)))))),
inference(fof_nnf,[status(thm)],[fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(f_102_2,plain,
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)))))),
inference(clausify,[status(thm)],[f_102_1]) ).
fof(f_103_1,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
inference(fof_nnf,[status(thm)],[fact_19_n_I1_J]) ).
cnf(f_103_2,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
inference(clausify,[status(thm)],[f_103_1]) ).
fof(f_104_1,plain,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
inference(fof_nnf,[status(thm)],[fact_20_injh]) ).
cnf(f_104_2,plain,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
inference(clausify,[status(thm)],[f_104_1]) ).
fof(f_105_1,plain,
! [A_10,B_10,A_9,B_9] :
( ( B_10 = B_9
& A_10 = A_9 )
| produc171383831le_alt(A_10,B_10) != produc171383831le_alt(A_9,B_9)
| ~ is_Arr553848933le_alt(B_9)
| ~ is_Arr553848933le_alt(A_9)
| ~ is_Arr553848933le_alt(B_10)
| ~ is_Arr553848933le_alt(A_10) ),
inference(fof_nnf,[status(thm)],[fact_21_Pair__inject]) ).
fof(f_105_2,plain,
! [U_171,U_170,U_169,U_168] :
( ( U_170 = U_168
& U_171 = U_169 )
| produc171383831le_alt(U_171,U_170) != produc171383831le_alt(U_169,U_168)
| ~ is_Arr553848933le_alt(U_168)
| ~ is_Arr553848933le_alt(U_169)
| ~ is_Arr553848933le_alt(U_170)
| ~ is_Arr553848933le_alt(U_171) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
cnf(f_105_3,plain,
( U_171 = U_169
| produc171383831le_alt(U_171,U_170) != produc171383831le_alt(U_169,U_168)
| ~ is_Arr553848933le_alt(U_168)
| ~ is_Arr553848933le_alt(U_169)
| ~ is_Arr553848933le_alt(U_170)
| ~ is_Arr553848933le_alt(U_171) ),
inference(clausify,[status(thm)],[f_105_2]) ).
cnf(f_105_4,plain,
( U_170 = U_168
| produc171383831le_alt(U_171,U_170) != produc171383831le_alt(U_169,U_168)
| ~ is_Arr553848933le_alt(U_168)
| ~ is_Arr553848933le_alt(U_169)
| ~ is_Arr553848933le_alt(U_170)
| ~ is_Arr553848933le_alt(U_171) ),
inference(clausify,[status(thm)],[f_105_2]) ).
fof(f_106_1,plain,
! [Aa,Ba,A_8,B_8] :
( ( ( produc171383831le_alt(Aa,Ba) = produc171383831le_alt(A_8,B_8)
| Ba != B_8
| Aa != A_8 )
& ( ( Ba = B_8
& Aa = A_8 )
| produc171383831le_alt(Aa,Ba) != produc171383831le_alt(A_8,B_8) ) )
| ~ is_Arr553848933le_alt(B_8)
| ~ is_Arr553848933le_alt(A_8)
| ~ is_Arr553848933le_alt(Ba)
| ~ is_Arr553848933le_alt(Aa) ),
inference(fof_nnf,[status(thm)],[fact_22_Pair__eq]) ).
fof(f_106_2,plain,
! [U_175,U_174,U_173,U_172] :
( ( ( produc171383831le_alt(U_175,U_174) = produc171383831le_alt(U_173,U_172)
| U_174 != U_172
| U_175 != U_173 )
& ( ( U_174 = U_172
& U_175 = U_173 )
| produc171383831le_alt(U_175,U_174) != produc171383831le_alt(U_173,U_172) ) )
| ~ is_Arr553848933le_alt(U_172)
| ~ is_Arr553848933le_alt(U_173)
| ~ is_Arr553848933le_alt(U_174)
| ~ is_Arr553848933le_alt(U_175) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
cnf(f_106_3,plain,
( U_175 = U_173
| produc171383831le_alt(U_175,U_174) != produc171383831le_alt(U_173,U_172)
| ~ is_Arr553848933le_alt(U_172)
| ~ is_Arr553848933le_alt(U_173)
| ~ is_Arr553848933le_alt(U_174)
| ~ is_Arr553848933le_alt(U_175) ),
inference(clausify,[status(thm)],[f_106_2]) ).
cnf(f_106_4,plain,
( U_174 = U_172
| produc171383831le_alt(U_175,U_174) != produc171383831le_alt(U_173,U_172)
| ~ is_Arr553848933le_alt(U_172)
| ~ is_Arr553848933le_alt(U_173)
| ~ is_Arr553848933le_alt(U_174)
| ~ is_Arr553848933le_alt(U_175) ),
inference(clausify,[status(thm)],[f_106_2]) ).
cnf(f_106_5,plain,
( produc171383831le_alt(U_175,U_174) = produc171383831le_alt(U_173,U_172)
| U_174 != U_172
| U_175 != U_173
| ~ is_Arr553848933le_alt(U_172)
| ~ is_Arr553848933le_alt(U_173)
| ~ is_Arr553848933le_alt(U_174)
| ~ is_Arr553848933le_alt(U_175) ),
inference(clausify,[status(thm)],[f_106_2]) ).
fof(f_107_1,plain,
! [Fa] :
( ( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,Fa))
| ? [X_1] :
( ? [Xa] :
( ? [A_1,B_1] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,Xa))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,Xa)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) ) )
& ! [I] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(Xa,I))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(Xa,I)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I))) ) )
| ~ is_Arr625519182e_indi(I) )
& is_Arr553848933le_alt(B_1)
& is_Arr553848933le_alt(A_1) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Xa),arrow_413697182e_Prof)) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) ) )
& ( ! [X_1] :
( ! [Xa] :
( ! [A_1,B_1] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,Xa))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,Xa)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1))) ) )
| ? [I] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(Xa,I))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(Xa,I)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I))) ) )
& is_Arr625519182e_indi(I) )
| ~ is_Arr553848933le_alt(B_1)
| ~ is_Arr553848933le_alt(A_1) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(Xa),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,Fa)) ) ),
inference(fof_nnf,[status(thm)],[fact_23_IIA__def]) ).
fof(f_107_2,plain,
! [U_186] :
( ( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_186))
| ? [U_185] :
( ? [U_184] :
( ? [U_183,U_182] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_186,U_185)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_186,U_184))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_186,U_184)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_186,U_185))) ) )
& ! [U_181] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_185,U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_184,U_181))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_184,U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_185,U_181))) ) )
| ~ is_Arr625519182e_indi(U_181) )
& is_Arr553848933le_alt(U_182)
& is_Arr553848933le_alt(U_183) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_184),arrow_413697182e_Prof)) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_185),arrow_413697182e_Prof)) ) )
& ( ! [U_180] :
( ! [U_179] :
( ! [U_178,U_177] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_186,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_186,U_179))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_186,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_186,U_180))) ) )
| ? [U_176] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,U_176)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,U_176))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,U_176)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,U_176))) ) )
& is_Arr625519182e_indi(U_176) )
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_186)) ) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
( ! [U_188] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188))
| ? [U_185] :
( ? [U_184] :
( ? [U_183,U_182] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_185)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_184))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_184)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_185))) ) )
& ! [U_181] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_185,U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_184,U_181))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_184,U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_185,U_181))) ) )
| ~ is_Arr625519182e_indi(U_181) )
& is_Arr553848933le_alt(U_182)
& is_Arr553848933le_alt(U_183) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_184),arrow_413697182e_Prof)) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_185),arrow_413697182e_Prof)) ) )
& ! [U_187] :
( ! [U_180] :
( ! [U_179] :
( ! [U_178,U_177] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180))) ) )
| ? [U_176] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,U_176)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,U_176))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,U_176)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,U_176))) ) )
& is_Arr625519182e_indi(U_176) )
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ) ),
inference(miniscope,[status(thm)],[f_107_2]) ).
fof(f_107_4,plain,
( ! [U_188] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188))
| ? [U_185] :
( ? [U_184] :
( ? [U_183,U_182] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_185)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_184))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_184)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_185))) ) )
& ! [U_181] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_185,U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_184,U_181))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_184,U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_185,U_181))) ) )
| ~ is_Arr625519182e_indi(U_181) )
& is_Arr553848933le_alt(U_182)
& is_Arr553848933le_alt(U_183) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_184),arrow_413697182e_Prof)) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_185),arrow_413697182e_Prof)) ) )
& ! [U_187] :
( ! [U_180] :
( ! [U_179] :
( ! [U_178,U_177] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177)))) ) )
& is_Arr625519182e_indi(sK9(U_187,U_180,U_179,U_178,U_177)) )
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_176,sK9(U_187,U_180,U_179,U_178,U_177))],[f_107_3]) ).
fof(f_107_5,plain,
( ! [U_188] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188))
| ( ? [U_184] :
( ? [U_183,U_182] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,sK10(U_188))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_184))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,U_184)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,sK10(U_188)))) ) )
& ! [U_181] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(sK10(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_184,U_181))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(U_184,U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(sK10(U_188),U_181))) ) )
| ~ is_Arr625519182e_indi(U_181) )
& is_Arr553848933le_alt(U_182)
& is_Arr553848933le_alt(U_183) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_184),arrow_413697182e_Prof)) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK10(U_188)),arrow_413697182e_Prof)) ) )
& ! [U_187] :
( ! [U_180] :
( ! [U_179] :
( ! [U_178,U_177] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177)))) ) )
& is_Arr625519182e_indi(sK9(U_187,U_180,U_179,U_178,U_177)) )
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_185,sK10(U_188))],[f_107_4]) ).
fof(f_107_6,plain,
( ! [U_188] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188))
| ( ? [U_183,U_182] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,sK10(U_188))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,sK11(U_188)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,sK11(U_188))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_f695124765t_bool(U_188,sK10(U_188)))) ) )
& ! [U_181] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(sK10(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(sK11(U_188),U_181))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(sK11(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_183,U_182)),hAPP_A1374816149t_bool(sK10(U_188),U_181))) ) )
| ~ is_Arr625519182e_indi(U_181) )
& is_Arr553848933le_alt(U_182)
& is_Arr553848933le_alt(U_183) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK11(U_188)),arrow_413697182e_Prof))
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK10(U_188)),arrow_413697182e_Prof)) ) )
& ! [U_187] :
( ! [U_180] :
( ! [U_179] :
( ! [U_178,U_177] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177)))) ) )
& is_Arr625519182e_indi(sK9(U_187,U_180,U_179,U_178,U_177)) )
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_184,sK11(U_188))],[f_107_5]) ).
fof(f_107_7,plain,
( ! [U_188] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188))
| ( ? [U_182] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),U_182)),hAPP_f695124765t_bool(U_188,sK10(U_188))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),U_182)),hAPP_f695124765t_bool(U_188,sK11(U_188)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),U_182)),hAPP_f695124765t_bool(U_188,sK11(U_188))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),U_182)),hAPP_f695124765t_bool(U_188,sK10(U_188)))) ) )
& ! [U_181] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),U_182)),hAPP_A1374816149t_bool(sK10(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),U_182)),hAPP_A1374816149t_bool(sK11(U_188),U_181))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),U_182)),hAPP_A1374816149t_bool(sK11(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),U_182)),hAPP_A1374816149t_bool(sK10(U_188),U_181))) ) )
| ~ is_Arr625519182e_indi(U_181) )
& is_Arr553848933le_alt(U_182)
& is_Arr553848933le_alt(sK12(U_188)) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK11(U_188)),arrow_413697182e_Prof))
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK10(U_188)),arrow_413697182e_Prof)) ) )
& ! [U_187] :
( ! [U_180] :
( ! [U_179] :
( ! [U_178,U_177] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177)))) ) )
& is_Arr625519182e_indi(sK9(U_187,U_180,U_179,U_178,U_177)) )
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_183,sK12(U_188))],[f_107_6]) ).
fof(f_107_8,plain,
( ! [U_188] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188))
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK10(U_188))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK11(U_188)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK11(U_188))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK10(U_188)))) ) )
& ! [U_181] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_A1374816149t_bool(sK10(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_A1374816149t_bool(sK11(U_188),U_181))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_A1374816149t_bool(sK11(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_A1374816149t_bool(sK10(U_188),U_181))) ) )
| ~ is_Arr625519182e_indi(U_181) )
& is_Arr553848933le_alt(sK13(U_188))
& is_Arr553848933le_alt(sK12(U_188))
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK11(U_188)),arrow_413697182e_Prof))
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK10(U_188)),arrow_413697182e_Prof)) ) )
& ! [U_187] :
( ! [U_180] :
( ! [U_179] :
( ! [U_178,U_177] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180))) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177)))) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177)))) ) )
& is_Arr625519182e_indi(sK9(U_187,U_180,U_179,U_178,U_177)) )
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_182,sK13(U_188))],[f_107_7]) ).
cnf(f_107_9,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| is_Arr625519182e_indi(sK9(U_187,U_180,U_179,U_178,U_177))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_10,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| is_Arr625519182e_indi(sK9(U_187,U_180,U_179,U_178,U_177))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_11,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_12,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_13,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_14,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_15,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_16,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_17,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_18,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_180,sK9(U_187,U_180,U_179,U_178,U_177))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_A1374816149t_bool(U_179,sK9(U_187,U_180,U_179,U_178,U_177))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_180)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_178,U_177)),hAPP_f695124765t_bool(U_187,U_179)))
| ~ is_Arr553848933le_alt(U_177)
| ~ is_Arr553848933le_alt(U_178)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_179),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_180),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_187)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_19,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK10(U_188)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_20,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK11(U_188)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_21,plain,
( is_Arr553848933le_alt(sK12(U_188))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_22,plain,
( is_Arr553848933le_alt(sK13(U_188))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_23,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_A1374816149t_bool(sK11(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_A1374816149t_bool(sK10(U_188),U_181)))
| ~ is_Arr625519182e_indi(U_181)
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_24,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_A1374816149t_bool(sK10(U_188),U_181)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_A1374816149t_bool(sK11(U_188),U_181)))
| ~ is_Arr625519182e_indi(U_181)
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_25,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK11(U_188))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK10(U_188))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_26,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK10(U_188))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK10(U_188))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_27,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK11(U_188))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK11(U_188))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
cnf(f_107_28,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK10(U_188))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK12(U_188),sK13(U_188))),hAPP_f695124765t_bool(U_188,sK11(U_188))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,U_188)) ),
inference(clausify,[status(thm)],[f_107_8]) ).
fof(f_108_1,plain,
! [Fa] :
( ( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,Fa))
| ? [X_1] :
( ? [A_1,B_1] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1)))
& ! [I] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I)))
| ~ is_Arr625519182e_indi(I) )
& is_Arr553848933le_alt(B_1)
& is_Arr553848933le_alt(A_1) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) ) )
& ( ! [X_1] :
( ! [A_1,B_1] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1)))
| ? [I] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I)))
& is_Arr625519182e_indi(I) )
| ~ is_Arr553848933le_alt(B_1)
| ~ is_Arr553848933le_alt(A_1) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,Fa)) ) ),
inference(fof_nnf,[status(thm)],[fact_24_unanimity__def]) ).
fof(f_108_2,plain,
! [U_197] :
( ( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_197))
| ? [U_196] :
( ? [U_195,U_194] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_195,U_194)),hAPP_f695124765t_bool(U_197,U_196)))
& ! [U_193] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_195,U_194)),hAPP_A1374816149t_bool(U_196,U_193)))
| ~ is_Arr625519182e_indi(U_193) )
& is_Arr553848933le_alt(U_194)
& is_Arr553848933le_alt(U_195) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_196),arrow_413697182e_Prof)) ) )
& ( ! [U_192] :
( ! [U_191,U_190] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_f695124765t_bool(U_197,U_192)))
| ? [U_189] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_A1374816149t_bool(U_192,U_189)))
& is_Arr625519182e_indi(U_189) )
| ~ is_Arr553848933le_alt(U_190)
| ~ is_Arr553848933le_alt(U_191) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_192),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_197)) ) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
( ! [U_199] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199))
| ? [U_196] :
( ? [U_195,U_194] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_195,U_194)),hAPP_f695124765t_bool(U_199,U_196)))
& ! [U_193] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_195,U_194)),hAPP_A1374816149t_bool(U_196,U_193)))
| ~ is_Arr625519182e_indi(U_193) )
& is_Arr553848933le_alt(U_194)
& is_Arr553848933le_alt(U_195) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_196),arrow_413697182e_Prof)) ) )
& ! [U_198] :
( ! [U_192] :
( ! [U_191,U_190] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_f695124765t_bool(U_198,U_192)))
| ? [U_189] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_A1374816149t_bool(U_192,U_189)))
& is_Arr625519182e_indi(U_189) )
| ~ is_Arr553848933le_alt(U_190)
| ~ is_Arr553848933le_alt(U_191) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_192),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_198)) ) ),
inference(miniscope,[status(thm)],[f_108_2]) ).
fof(f_108_4,plain,
( ! [U_199] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199))
| ? [U_196] :
( ? [U_195,U_194] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_195,U_194)),hAPP_f695124765t_bool(U_199,U_196)))
& ! [U_193] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_195,U_194)),hAPP_A1374816149t_bool(U_196,U_193)))
| ~ is_Arr625519182e_indi(U_193) )
& is_Arr553848933le_alt(U_194)
& is_Arr553848933le_alt(U_195) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_196),arrow_413697182e_Prof)) ) )
& ! [U_198] :
( ! [U_192] :
( ! [U_191,U_190] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_f695124765t_bool(U_198,U_192)))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_A1374816149t_bool(U_192,sK14(U_198,U_192,U_191,U_190))))
& is_Arr625519182e_indi(sK14(U_198,U_192,U_191,U_190)) )
| ~ is_Arr553848933le_alt(U_190)
| ~ is_Arr553848933le_alt(U_191) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_192),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_198)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_189,sK14(U_198,U_192,U_191,U_190))],[f_108_3]) ).
fof(f_108_5,plain,
( ! [U_199] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199))
| ( ? [U_195,U_194] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_195,U_194)),hAPP_f695124765t_bool(U_199,sK15(U_199))))
& ! [U_193] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_195,U_194)),hAPP_A1374816149t_bool(sK15(U_199),U_193)))
| ~ is_Arr625519182e_indi(U_193) )
& is_Arr553848933le_alt(U_194)
& is_Arr553848933le_alt(U_195) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK15(U_199)),arrow_413697182e_Prof)) ) )
& ! [U_198] :
( ! [U_192] :
( ! [U_191,U_190] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_f695124765t_bool(U_198,U_192)))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_A1374816149t_bool(U_192,sK14(U_198,U_192,U_191,U_190))))
& is_Arr625519182e_indi(sK14(U_198,U_192,U_191,U_190)) )
| ~ is_Arr553848933le_alt(U_190)
| ~ is_Arr553848933le_alt(U_191) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_192),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_198)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_196,sK15(U_199))],[f_108_4]) ).
fof(f_108_6,plain,
( ! [U_199] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199))
| ( ? [U_194] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK16(U_199),U_194)),hAPP_f695124765t_bool(U_199,sK15(U_199))))
& ! [U_193] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK16(U_199),U_194)),hAPP_A1374816149t_bool(sK15(U_199),U_193)))
| ~ is_Arr625519182e_indi(U_193) )
& is_Arr553848933le_alt(U_194)
& is_Arr553848933le_alt(sK16(U_199)) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK15(U_199)),arrow_413697182e_Prof)) ) )
& ! [U_198] :
( ! [U_192] :
( ! [U_191,U_190] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_f695124765t_bool(U_198,U_192)))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_A1374816149t_bool(U_192,sK14(U_198,U_192,U_191,U_190))))
& is_Arr625519182e_indi(sK14(U_198,U_192,U_191,U_190)) )
| ~ is_Arr553848933le_alt(U_190)
| ~ is_Arr553848933le_alt(U_191) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_192),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_198)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_195,sK16(U_199))],[f_108_5]) ).
fof(f_108_7,plain,
( ! [U_199] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK16(U_199),sK17(U_199))),hAPP_f695124765t_bool(U_199,sK15(U_199))))
& ! [U_193] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK16(U_199),sK17(U_199))),hAPP_A1374816149t_bool(sK15(U_199),U_193)))
| ~ is_Arr625519182e_indi(U_193) )
& is_Arr553848933le_alt(sK17(U_199))
& is_Arr553848933le_alt(sK16(U_199))
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK15(U_199)),arrow_413697182e_Prof)) ) )
& ! [U_198] :
( ! [U_192] :
( ! [U_191,U_190] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_f695124765t_bool(U_198,U_192)))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_A1374816149t_bool(U_192,sK14(U_198,U_192,U_191,U_190))))
& is_Arr625519182e_indi(sK14(U_198,U_192,U_191,U_190)) )
| ~ is_Arr553848933le_alt(U_190)
| ~ is_Arr553848933le_alt(U_191) )
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_192),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_198)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_194,sK17(U_199))],[f_108_6]) ).
cnf(f_108_8,plain,
( is_Arr625519182e_indi(sK14(U_198,U_192,U_191,U_190))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_f695124765t_bool(U_198,U_192)))
| ~ is_Arr553848933le_alt(U_190)
| ~ is_Arr553848933le_alt(U_191)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_192),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_198)) ),
inference(clausify,[status(thm)],[f_108_7]) ).
cnf(f_108_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_A1374816149t_bool(U_192,sK14(U_198,U_192,U_191,U_190))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_191,U_190)),hAPP_f695124765t_bool(U_198,U_192)))
| ~ is_Arr553848933le_alt(U_190)
| ~ is_Arr553848933le_alt(U_191)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_192),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_198)) ),
inference(clausify,[status(thm)],[f_108_7]) ).
cnf(f_108_10,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK15(U_199)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199)) ),
inference(clausify,[status(thm)],[f_108_7]) ).
cnf(f_108_11,plain,
( is_Arr553848933le_alt(sK16(U_199))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199)) ),
inference(clausify,[status(thm)],[f_108_7]) ).
cnf(f_108_12,plain,
( is_Arr553848933le_alt(sK17(U_199))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199)) ),
inference(clausify,[status(thm)],[f_108_7]) ).
cnf(f_108_13,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK16(U_199),sK17(U_199))),hAPP_A1374816149t_bool(sK15(U_199),U_193)))
| ~ is_Arr625519182e_indi(U_193)
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199)) ),
inference(clausify,[status(thm)],[f_108_7]) ).
cnf(f_108_14,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK16(U_199),sK17(U_199))),hAPP_f695124765t_bool(U_199,sK15(U_199))))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,U_199)) ),
inference(clausify,[status(thm)],[f_108_7]) ).
fof(f_109_1,plain,
! [X_2] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2)),
inference(fof_nnf,[status(thm)],[fact_25_top1I]) ).
fof(f_109_2,plain,
! [U_200] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,U_200)),
inference(variable_rename,[status(thm)],[f_109_1]) ).
cnf(f_109_3,plain,
hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,U_200)),
inference(clausify,[status(thm)],[f_109_2]) ).
fof(f_110_1,plain,
! [X_2] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2)),
inference(fof_nnf,[status(thm)],[fact_26_top1I]) ).
fof(f_110_2,plain,
! [U_201] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,U_201)),
inference(variable_rename,[status(thm)],[f_110_1]) ).
cnf(f_110_3,plain,
hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,U_201)),
inference(clausify,[status(thm)],[f_110_2]) ).
fof(f_111_1,plain,
! [X_2] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2)),
inference(fof_nnf,[status(thm)],[fact_27_top1I]) ).
fof(f_111_2,plain,
! [U_202] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,U_202)),
inference(variable_rename,[status(thm)],[f_111_1]) ).
cnf(f_111_3,plain,
hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,U_202)),
inference(clausify,[status(thm)],[f_111_2]) ).
fof(f_112_1,plain,
! [X_2] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2)),
inference(fof_nnf,[status(thm)],[fact_28_top1I]) ).
fof(f_112_2,plain,
! [U_203] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,U_203)),
inference(variable_rename,[status(thm)],[f_112_1]) ).
cnf(f_112_3,plain,
hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,U_203)),
inference(clausify,[status(thm)],[f_112_2]) ).
fof(f_113_1,plain,
! [X_2] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2)),
inference(fof_nnf,[status(thm)],[fact_29_top1I]) ).
fof(f_113_2,plain,
! [U_204] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,U_204)),
inference(variable_rename,[status(thm)],[f_113_1]) ).
cnf(f_113_3,plain,
hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,U_204)),
inference(clausify,[status(thm)],[f_113_2]) ).
fof(f_114_1,plain,
! [X_2] : hBOOL(hAPP_f387058535l_bool(member_bool(X_2),top_to1647826457l_bool)),
inference(fof_nnf,[status(thm)],[fact_30_UNIV__I]) ).
fof(f_114_2,plain,
! [U_205] : hBOOL(hAPP_f387058535l_bool(member_bool(U_205),top_to1647826457l_bool)),
inference(variable_rename,[status(thm)],[f_114_1]) ).
cnf(f_114_3,plain,
hBOOL(hAPP_f387058535l_bool(member_bool(U_205),top_to1647826457l_bool)),
inference(clausify,[status(thm)],[f_114_2]) ).
fof(f_115_1,plain,
! [X_2] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),top_to1256827021i_bool)),
inference(fof_nnf,[status(thm)],[fact_31_UNIV__I]) ).
fof(f_115_2,plain,
! [U_206] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_206),top_to1256827021i_bool)),
inference(variable_rename,[status(thm)],[f_115_1]) ).
cnf(f_115_3,plain,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_206),top_to1256827021i_bool)),
inference(clausify,[status(thm)],[f_115_2]) ).
fof(f_116_1,plain,
! [X_2] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),top_to2034604131t_bool)),
inference(fof_nnf,[status(thm)],[fact_32_UNIV__I]) ).
fof(f_116_2,plain,
! [U_207] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_207),top_to2034604131t_bool)),
inference(variable_rename,[status(thm)],[f_116_1]) ).
cnf(f_116_3,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_207),top_to2034604131t_bool)),
inference(clausify,[status(thm)],[f_116_2]) ).
fof(f_117_1,plain,
! [X_2] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),top_to1194196741l_bool)),
inference(fof_nnf,[status(thm)],[fact_33_UNIV__I]) ).
fof(f_117_2,plain,
! [U_208] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_208),top_to1194196741l_bool)),
inference(variable_rename,[status(thm)],[f_117_1]) ).
cnf(f_117_3,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_208),top_to1194196741l_bool)),
inference(clausify,[status(thm)],[f_117_2]) ).
fof(f_118_1,plain,
! [X_2] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),top_to40512653l_bool)),
inference(fof_nnf,[status(thm)],[fact_34_UNIV__I]) ).
fof(f_118_2,plain,
! [U_209] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_209),top_to40512653l_bool)),
inference(variable_rename,[status(thm)],[f_118_1]) ).
cnf(f_118_3,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_209),top_to40512653l_bool)),
inference(clausify,[status(thm)],[f_118_2]) ).
fof(f_119_1,plain,
! [X_2] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),top_to2005687013l_bool)),
inference(fof_nnf,[status(thm)],[fact_35_UNIV__I]) ).
fof(f_119_2,plain,
! [U_210] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_210),top_to2005687013l_bool)),
inference(variable_rename,[status(thm)],[f_119_1]) ).
cnf(f_119_3,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_210),top_to2005687013l_bool)),
inference(clausify,[status(thm)],[f_119_2]) ).
fof(f_120_1,plain,
! [X_2] : hBOOL(hAPP_f387058535l_bool(member_bool(X_2),top_to1647826457l_bool)),
inference(fof_nnf,[status(thm)],[fact_36_iso__tuple__UNIV__I]) ).
fof(f_120_2,plain,
! [U_211] : hBOOL(hAPP_f387058535l_bool(member_bool(U_211),top_to1647826457l_bool)),
inference(variable_rename,[status(thm)],[f_120_1]) ).
cnf(f_120_3,plain,
hBOOL(hAPP_f387058535l_bool(member_bool(U_211),top_to1647826457l_bool)),
inference(clausify,[status(thm)],[f_120_2]) ).
fof(f_121_1,plain,
! [X_2] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),top_to1256827021i_bool)),
inference(fof_nnf,[status(thm)],[fact_37_iso__tuple__UNIV__I]) ).
fof(f_121_2,plain,
! [U_212] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_212),top_to1256827021i_bool)),
inference(variable_rename,[status(thm)],[f_121_1]) ).
cnf(f_121_3,plain,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_212),top_to1256827021i_bool)),
inference(clausify,[status(thm)],[f_121_2]) ).
fof(f_122_1,plain,
! [X_2] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),top_to2034604131t_bool)),
inference(fof_nnf,[status(thm)],[fact_38_iso__tuple__UNIV__I]) ).
fof(f_122_2,plain,
! [U_213] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_213),top_to2034604131t_bool)),
inference(variable_rename,[status(thm)],[f_122_1]) ).
cnf(f_122_3,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_213),top_to2034604131t_bool)),
inference(clausify,[status(thm)],[f_122_2]) ).
fof(f_123_1,plain,
! [X_2] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),top_to1194196741l_bool)),
inference(fof_nnf,[status(thm)],[fact_39_iso__tuple__UNIV__I]) ).
fof(f_123_2,plain,
! [U_214] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_214),top_to1194196741l_bool)),
inference(variable_rename,[status(thm)],[f_123_1]) ).
cnf(f_123_3,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_214),top_to1194196741l_bool)),
inference(clausify,[status(thm)],[f_123_2]) ).
fof(f_124_1,plain,
! [X_2] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),top_to40512653l_bool)),
inference(fof_nnf,[status(thm)],[fact_40_iso__tuple__UNIV__I]) ).
fof(f_124_2,plain,
! [U_215] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_215),top_to40512653l_bool)),
inference(variable_rename,[status(thm)],[f_124_1]) ).
cnf(f_124_3,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_215),top_to40512653l_bool)),
inference(clausify,[status(thm)],[f_124_2]) ).
fof(f_125_1,plain,
! [X_2] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),top_to2005687013l_bool)),
inference(fof_nnf,[status(thm)],[fact_41_iso__tuple__UNIV__I]) ).
fof(f_125_2,plain,
! [U_216] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_216),top_to2005687013l_bool)),
inference(variable_rename,[status(thm)],[f_125_1]) ).
cnf(f_125_3,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_216),top_to2005687013l_bool)),
inference(clausify,[status(thm)],[f_125_2]) ).
fof(f_126_1,plain,
! [X_2] :
( ( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X_2)) ) ),
inference(fof_nnf,[status(thm)],[fact_42_top__apply]) ).
fof(f_126_2,plain,
! [U_217] :
( ( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,U_217))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,U_217)) ) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
( ( ! [U_219] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,U_219))
| ~ hBOOL(top_top_bool) )
& ( ! [U_218] : ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,U_218))
| hBOOL(top_top_bool) ) ),
inference(miniscope,[status(thm)],[f_126_2]) ).
cnf(f_126_4,plain,
( ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,U_218))
| hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_126_3]) ).
cnf(f_126_5,plain,
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,U_219))
| ~ hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_126_3]) ).
fof(f_127_1,plain,
! [X_2] :
( ( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X_2)) ) ),
inference(fof_nnf,[status(thm)],[fact_43_top__apply]) ).
fof(f_127_2,plain,
! [U_220] :
( ( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,U_220))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,U_220)) ) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
( ( ! [U_222] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,U_222))
| ~ hBOOL(top_top_bool) )
& ( ! [U_221] : ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,U_221))
| hBOOL(top_top_bool) ) ),
inference(miniscope,[status(thm)],[f_127_2]) ).
cnf(f_127_4,plain,
( ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,U_221))
| hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_127_3]) ).
cnf(f_127_5,plain,
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,U_222))
| ~ hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_127_3]) ).
fof(f_128_1,plain,
! [X_2] :
( ( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X_2)) ) ),
inference(fof_nnf,[status(thm)],[fact_44_top__apply]) ).
fof(f_128_2,plain,
! [U_223] :
( ( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,U_223))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,U_223)) ) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
fof(f_128_3,plain,
( ( ! [U_225] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,U_225))
| ~ hBOOL(top_top_bool) )
& ( ! [U_224] : ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,U_224))
| hBOOL(top_top_bool) ) ),
inference(miniscope,[status(thm)],[f_128_2]) ).
cnf(f_128_4,plain,
( ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,U_224))
| hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_128_3]) ).
cnf(f_128_5,plain,
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,U_225))
| ~ hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_128_3]) ).
fof(f_129_1,plain,
! [X_2] :
( ( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X_2)) ) ),
inference(fof_nnf,[status(thm)],[fact_45_top__apply]) ).
fof(f_129_2,plain,
! [U_226] :
( ( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,U_226))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,U_226)) ) ),
inference(variable_rename,[status(thm)],[f_129_1]) ).
fof(f_129_3,plain,
( ( ! [U_228] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,U_228))
| ~ hBOOL(top_top_bool) )
& ( ! [U_227] : ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,U_227))
| hBOOL(top_top_bool) ) ),
inference(miniscope,[status(thm)],[f_129_2]) ).
cnf(f_129_4,plain,
( ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,U_227))
| hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_129_3]) ).
cnf(f_129_5,plain,
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,U_228))
| ~ hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_129_3]) ).
fof(f_130_1,plain,
! [X_2] :
( ( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X_2)) ) ),
inference(fof_nnf,[status(thm)],[fact_46_top__apply]) ).
fof(f_130_2,plain,
! [U_229] :
( ( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,U_229))
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,U_229)) ) ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
( ( ! [U_231] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,U_231))
| ~ hBOOL(top_top_bool) )
& ( ! [U_230] : ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,U_230))
| hBOOL(top_top_bool) ) ),
inference(miniscope,[status(thm)],[f_130_2]) ).
cnf(f_130_4,plain,
( ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,U_230))
| hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_130_3]) ).
cnf(f_130_5,plain,
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,U_231))
| ~ hBOOL(top_top_bool) ),
inference(clausify,[status(thm)],[f_130_3]) ).
fof(f_131_1,plain,
! [Aa] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),Aa)),
inference(fof_nnf,[status(thm)],[fact_47_not__top__less]) ).
fof(f_131_2,plain,
! [U_232] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),U_232)),
inference(variable_rename,[status(thm)],[f_131_1]) ).
cnf(f_131_3,plain,
~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),U_232)),
inference(clausify,[status(thm)],[f_131_2]) ).
fof(f_132_1,plain,
! [Aa] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),Aa)),
inference(fof_nnf,[status(thm)],[fact_48_not__top__less]) ).
fof(f_132_2,plain,
! [U_233] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),U_233)),
inference(variable_rename,[status(thm)],[f_132_1]) ).
cnf(f_132_3,plain,
~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),U_233)),
inference(clausify,[status(thm)],[f_132_2]) ).
fof(f_133_1,plain,
! [Aa] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),Aa)),
inference(fof_nnf,[status(thm)],[fact_49_not__top__less]) ).
fof(f_133_2,plain,
! [U_234] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),U_234)),
inference(variable_rename,[status(thm)],[f_133_1]) ).
cnf(f_133_3,plain,
~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),U_234)),
inference(clausify,[status(thm)],[f_133_2]) ).
fof(f_134_1,plain,
! [Aa] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),Aa)),
inference(fof_nnf,[status(thm)],[fact_50_not__top__less]) ).
fof(f_134_2,plain,
! [U_235] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),U_235)),
inference(variable_rename,[status(thm)],[f_134_1]) ).
cnf(f_134_3,plain,
~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),U_235)),
inference(clausify,[status(thm)],[f_134_2]) ).
fof(f_135_1,plain,
! [Aa] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),Aa)),
inference(fof_nnf,[status(thm)],[fact_51_not__top__less]) ).
fof(f_135_2,plain,
! [U_236] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),U_236)),
inference(variable_rename,[status(thm)],[f_135_1]) ).
cnf(f_135_3,plain,
~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),U_236)),
inference(clausify,[status(thm)],[f_135_2]) ).
fof(f_136_1,plain,
! [Aa] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),Aa)),
inference(fof_nnf,[status(thm)],[fact_52_not__top__less]) ).
fof(f_136_2,plain,
! [U_237] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),U_237)),
inference(variable_rename,[status(thm)],[f_136_1]) ).
cnf(f_136_3,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),U_237)),
inference(clausify,[status(thm)],[f_136_2]) ).
fof(f_137_1,plain,
! [X_14,Y_13] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_13),X_14))
| X_14 = Y_13
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_14),Y_13)) ),
inference(fof_nnf,[status(thm)],[fact_53_linorder__cases]) ).
fof(f_137_2,plain,
! [U_239,U_238] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_238),U_239))
| U_239 = U_238
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_239),U_238)) ),
inference(variable_rename,[status(thm)],[f_137_1]) ).
cnf(f_137_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_238),U_239))
| U_239 = U_238
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_239),U_238)) ),
inference(clausify,[status(thm)],[f_137_2]) ).
fof(f_138_1,plain,
! [X_2,Y_1] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_54_order__less__asym]) ).
fof(f_138_2,plain,
! [U_241,U_240] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_240),U_241))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_241),U_240)) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
cnf(f_138_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_240),U_241))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_241),U_240)) ),
inference(clausify,[status(thm)],[f_138_2]) ).
fof(f_139_1,plain,
! [X_13,Y_12] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_13))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_12)) ),
inference(fof_nnf,[status(thm)],[fact_55_order__less__asym]) ).
fof(f_139_2,plain,
! [U_243,U_242] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_242),U_243))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_243),U_242)) ),
inference(variable_rename,[status(thm)],[f_139_1]) ).
cnf(f_139_3,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_242),U_243))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_243),U_242)) ),
inference(clausify,[status(thm)],[f_139_2]) ).
fof(f_140_1,plain,
! [Z_1,Y_1,X_2] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Z_1),X_2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Z_1),Y_1))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2)) ),
inference(fof_nnf,[status(thm)],[fact_56_xt1_I10_J]) ).
fof(f_140_2,plain,
! [U_246,U_245,U_244] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_246),U_244))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_246),U_245))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_245),U_244)) ),
inference(variable_rename,[status(thm)],[f_140_1]) ).
cnf(f_140_3,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_246),U_244))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_246),U_245))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_245),U_244)) ),
inference(clausify,[status(thm)],[f_140_2]) ).
fof(f_141_1,plain,
! [Z_2,Y_11,X_12] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),X_12))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_2),Y_11))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_11),X_12)) ),
inference(fof_nnf,[status(thm)],[fact_57_xt1_I10_J]) ).
fof(f_141_2,plain,
! [U_249,U_248,U_247] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_249),U_247))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_249),U_248))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_248),U_247)) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
cnf(f_141_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_249),U_247))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_249),U_248))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_248),U_247)) ),
inference(clausify,[status(thm)],[f_141_2]) ).
fof(f_142_1,plain,
! [Z_1,X_2,Y_1] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Z_1))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),Z_1))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_58_order__less__trans]) ).
fof(f_142_2,plain,
! [U_252,U_251,U_250] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_251),U_252))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_250),U_252))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_251),U_250)) ),
inference(variable_rename,[status(thm)],[f_142_1]) ).
cnf(f_142_3,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_251),U_252))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_250),U_252))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_251),U_250)) ),
inference(clausify,[status(thm)],[f_142_2]) ).
fof(f_143_1,plain,
! [Z,X_11,Y_10] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Z))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_10),Z))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_11),Y_10)) ),
inference(fof_nnf,[status(thm)],[fact_59_order__less__trans]) ).
fof(f_143_2,plain,
! [U_255,U_254,U_253] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_254),U_255))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_253),U_255))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_254),U_253)) ),
inference(variable_rename,[status(thm)],[f_143_1]) ).
cnf(f_143_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_254),U_255))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_253),U_255))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_254),U_253)) ),
inference(clausify,[status(thm)],[f_143_2]) ).
fof(f_144_1,plain,
! [Ca,Ba,Aa] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Aa))
| Ba != Ca
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa)) ),
inference(fof_nnf,[status(thm)],[fact_60_xt1_I2_J]) ).
fof(f_144_2,plain,
! [U_258,U_257,U_256] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_258),U_256))
| U_257 != U_258
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_257),U_256)) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
cnf(f_144_3,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_258),U_256))
| U_257 != U_258
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_257),U_256)) ),
inference(clausify,[status(thm)],[f_144_2]) ).
fof(f_145_1,plain,
! [C_3,B_7,A_7] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_3),A_7))
| B_7 != C_3
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_7),A_7)) ),
inference(fof_nnf,[status(thm)],[fact_61_xt1_I2_J]) ).
fof(f_145_2,plain,
! [U_261,U_260,U_259] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_261),U_259))
| U_260 != U_261
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_260),U_259)) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
cnf(f_145_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_261),U_259))
| U_260 != U_261
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_260),U_259)) ),
inference(clausify,[status(thm)],[f_145_2]) ).
fof(f_146_1,plain,
! [Ca,Aa,Ba] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ca))
| Ba != Ca
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba)) ),
inference(fof_nnf,[status(thm)],[fact_62_ord__less__eq__trans]) ).
fof(f_146_2,plain,
! [U_264,U_263,U_262] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_263),U_264))
| U_262 != U_264
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_263),U_262)) ),
inference(variable_rename,[status(thm)],[f_146_1]) ).
cnf(f_146_3,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_263),U_264))
| U_262 != U_264
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_263),U_262)) ),
inference(clausify,[status(thm)],[f_146_2]) ).
fof(f_147_1,plain,
! [C_2,A_6,B_6] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),C_2))
| B_6 != C_2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),B_6)) ),
inference(fof_nnf,[status(thm)],[fact_63_ord__less__eq__trans]) ).
fof(f_147_2,plain,
! [U_267,U_266,U_265] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_266),U_267))
| U_265 != U_267
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_266),U_265)) ),
inference(variable_rename,[status(thm)],[f_147_1]) ).
cnf(f_147_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_266),U_267))
| U_265 != U_267
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_266),U_265)) ),
inference(clausify,[status(thm)],[f_147_2]) ).
fof(f_148_1,plain,
! [Ca,Aa,Ba] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Aa))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ca),Ba))
| Aa != Ba ),
inference(fof_nnf,[status(thm)],[fact_64_xt1_I1_J]) ).
fof(f_148_2,plain,
! [U_270,U_269,U_268] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_270),U_269))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_270),U_268))
| U_269 != U_268 ),
inference(variable_rename,[status(thm)],[f_148_1]) ).
cnf(f_148_3,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_270),U_269))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_270),U_268))
| U_269 != U_268 ),
inference(clausify,[status(thm)],[f_148_2]) ).
fof(f_149_1,plain,
! [C_1,A_5,B_5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_1),A_5))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_1),B_5))
| A_5 != B_5 ),
inference(fof_nnf,[status(thm)],[fact_65_xt1_I1_J]) ).
fof(f_149_2,plain,
! [U_273,U_272,U_271] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_273),U_272))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_273),U_271))
| U_272 != U_271 ),
inference(variable_rename,[status(thm)],[f_149_1]) ).
cnf(f_149_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_273),U_272))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_273),U_271))
| U_272 != U_271 ),
inference(clausify,[status(thm)],[f_149_2]) ).
fof(f_150_1,plain,
! [Ca,Aa,Ba] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ca))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Ca))
| Aa != Ba ),
inference(fof_nnf,[status(thm)],[fact_66_ord__eq__less__trans]) ).
fof(f_150_2,plain,
! [U_276,U_275,U_274] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_275),U_276))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_274),U_276))
| U_275 != U_274 ),
inference(variable_rename,[status(thm)],[f_150_1]) ).
cnf(f_150_3,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_275),U_276))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_274),U_276))
| U_275 != U_274 ),
inference(clausify,[status(thm)],[f_150_2]) ).
fof(f_151_1,plain,
! [C,A_4,B_4] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_4),C))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_4),C))
| A_4 != B_4 ),
inference(fof_nnf,[status(thm)],[fact_67_ord__eq__less__trans]) ).
fof(f_151_2,plain,
! [U_279,U_278,U_277] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_278),U_279))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_277),U_279))
| U_278 != U_277 ),
inference(variable_rename,[status(thm)],[f_151_1]) ).
cnf(f_151_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_278),U_279))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_277),U_279))
| U_278 != U_277 ),
inference(clausify,[status(thm)],[f_151_2]) ).
fof(f_152_1,plain,
! [Ba,Aa] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa)) ),
inference(fof_nnf,[status(thm)],[fact_68_xt1_I9_J]) ).
fof(f_152_2,plain,
! [U_281,U_280] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_280),U_281))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_281),U_280)) ),
inference(variable_rename,[status(thm)],[f_152_1]) ).
cnf(f_152_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_280),U_281))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_281),U_280)) ),
inference(clausify,[status(thm)],[f_152_2]) ).
fof(f_153_1,plain,
! [B_3,A_3] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_3),B_3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_3),A_3)) ),
inference(fof_nnf,[status(thm)],[fact_69_xt1_I9_J]) ).
fof(f_153_2,plain,
! [U_283,U_282] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_282),U_283))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_283),U_282)) ),
inference(variable_rename,[status(thm)],[f_153_1]) ).
cnf(f_153_3,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_282),U_283))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_283),U_282)) ),
inference(clausify,[status(thm)],[f_153_2]) ).
fof(f_154_1,plain,
! [Aa,Ba] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Ba),Aa))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),Ba)) ),
inference(fof_nnf,[status(thm)],[fact_70_order__less__asym_H]) ).
fof(f_154_2,plain,
! [U_285,U_284] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_284),U_285))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_285),U_284)) ),
inference(variable_rename,[status(thm)],[f_154_1]) ).
cnf(f_154_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_284),U_285))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_285),U_284)) ),
inference(clausify,[status(thm)],[f_154_2]) ).
fof(f_155_1,plain,
! [A_2,B_2] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_2),A_2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_2)) ),
inference(fof_nnf,[status(thm)],[fact_71_order__less__asym_H]) ).
fof(f_155_2,plain,
! [U_287,U_286] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_286),U_287))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_287),U_286)) ),
inference(variable_rename,[status(thm)],[f_155_1]) ).
cnf(f_155_3,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_286),U_287))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_287),U_286)) ),
inference(clausify,[status(thm)],[f_155_2]) ).
fof(f_156_1,plain,
! [Pa,X_2,Y_1] :
( hBOOL(Pa)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_72_order__less__imp__triv]) ).
fof(f_156_2,plain,
! [U_290,U_289,U_288] :
( hBOOL(U_290)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_288),U_289))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_289),U_288)) ),
inference(variable_rename,[status(thm)],[f_156_1]) ).
cnf(f_156_3,plain,
( hBOOL(U_290)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_288),U_289))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_289),U_288)) ),
inference(clausify,[status(thm)],[f_156_2]) ).
fof(f_157_1,plain,
! [Pa,X_2,Y_1] :
( hBOOL(Pa)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_73_order__less__imp__triv]) ).
fof(f_157_2,plain,
! [U_293,U_292,U_291] :
( hBOOL(U_293)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_291),U_292))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_292),U_291)) ),
inference(variable_rename,[status(thm)],[f_157_1]) ).
cnf(f_157_3,plain,
( hBOOL(U_293)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_291),U_292))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_292),U_291)) ),
inference(clausify,[status(thm)],[f_157_2]) ).
fof(f_158_1,plain,
! [X_2,Y_1] :
( Y_1 != X_2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_74_order__less__imp__not__eq2]) ).
fof(f_158_2,plain,
! [U_295,U_294] :
( U_294 != U_295
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_295),U_294)) ),
inference(variable_rename,[status(thm)],[f_158_1]) ).
cnf(f_158_3,plain,
( U_294 != U_295
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_295),U_294)) ),
inference(clausify,[status(thm)],[f_158_2]) ).
fof(f_159_1,plain,
! [X_10,Y_9] :
( Y_9 != X_10
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_10),Y_9)) ),
inference(fof_nnf,[status(thm)],[fact_75_order__less__imp__not__eq2]) ).
fof(f_159_2,plain,
! [U_297,U_296] :
( U_296 != U_297
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_297),U_296)) ),
inference(variable_rename,[status(thm)],[f_159_1]) ).
cnf(f_159_3,plain,
( U_296 != U_297
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_297),U_296)) ),
inference(clausify,[status(thm)],[f_159_2]) ).
fof(f_160_1,plain,
! [X_2,Y_1] :
( X_2 != Y_1
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_76_order__less__imp__not__eq]) ).
fof(f_160_2,plain,
! [U_299,U_298] :
( U_299 != U_298
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_299),U_298)) ),
inference(variable_rename,[status(thm)],[f_160_1]) ).
cnf(f_160_3,plain,
( U_299 != U_298
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_299),U_298)) ),
inference(clausify,[status(thm)],[f_160_2]) ).
fof(f_161_1,plain,
! [X_9,Y_8] :
( X_9 != Y_8
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_8)) ),
inference(fof_nnf,[status(thm)],[fact_77_order__less__imp__not__eq]) ).
fof(f_161_2,plain,
! [U_301,U_300] :
( U_301 != U_300
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_301),U_300)) ),
inference(variable_rename,[status(thm)],[f_161_1]) ).
cnf(f_161_3,plain,
( U_301 != U_300
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_301),U_300)) ),
inference(clausify,[status(thm)],[f_161_2]) ).
fof(f_162_1,plain,
! [X_2,Y_1] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_78_order__less__imp__not__less]) ).
fof(f_162_2,plain,
! [U_303,U_302] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_302),U_303))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_303),U_302)) ),
inference(variable_rename,[status(thm)],[f_162_1]) ).
cnf(f_162_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_302),U_303))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_303),U_302)) ),
inference(clausify,[status(thm)],[f_162_2]) ).
fof(f_163_1,plain,
! [X_8,Y_7] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_7),X_8))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),Y_7)) ),
inference(fof_nnf,[status(thm)],[fact_79_order__less__imp__not__less]) ).
fof(f_163_2,plain,
! [U_305,U_304] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_304),U_305))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_305),U_304)) ),
inference(variable_rename,[status(thm)],[f_163_1]) ).
cnf(f_163_3,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_304),U_305))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_305),U_304)) ),
inference(clausify,[status(thm)],[f_163_2]) ).
fof(f_164_1,plain,
! [X_2,Y_1] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Y_1),X_2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_80_order__less__not__sym]) ).
fof(f_164_2,plain,
! [U_307,U_306] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_306),U_307))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_307),U_306)) ),
inference(variable_rename,[status(thm)],[f_164_1]) ).
cnf(f_164_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_306),U_307))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_307),U_306)) ),
inference(clausify,[status(thm)],[f_164_2]) ).
fof(f_165_1,plain,
! [X_7,Y_6] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_6),X_7))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_7),Y_6)) ),
inference(fof_nnf,[status(thm)],[fact_81_order__less__not__sym]) ).
fof(f_165_2,plain,
! [U_309,U_308] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_308),U_309))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_309),U_308)) ),
inference(variable_rename,[status(thm)],[f_165_1]) ).
cnf(f_165_3,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_308),U_309))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_309),U_308)) ),
inference(clausify,[status(thm)],[f_165_2]) ).
fof(f_166_1,plain,
! [X_2,Y_1] :
( X_2 != Y_1
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),Y_1)) ),
inference(fof_nnf,[status(thm)],[fact_82_less__imp__neq]) ).
fof(f_166_2,plain,
! [U_311,U_310] :
( U_311 != U_310
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_311),U_310)) ),
inference(variable_rename,[status(thm)],[f_166_1]) ).
cnf(f_166_3,plain,
( U_311 != U_310
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_311),U_310)) ),
inference(clausify,[status(thm)],[f_166_2]) ).
fof(f_167_1,plain,
! [X_6,Y_5] :
( X_6 != Y_5
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_6),Y_5)) ),
inference(fof_nnf,[status(thm)],[fact_83_less__imp__neq]) ).
fof(f_167_2,plain,
! [U_313,U_312] :
( U_313 != U_312
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_313),U_312)) ),
inference(variable_rename,[status(thm)],[f_167_1]) ).
cnf(f_167_3,plain,
( U_313 != U_312
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_313),U_312)) ),
inference(clausify,[status(thm)],[f_167_2]) ).
fof(f_168_1,plain,
! [X_5,Y_4] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_4),X_5))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_5),Y_4))
| X_5 = Y_4 ),
inference(fof_nnf,[status(thm)],[fact_84_linorder__neqE]) ).
fof(f_168_2,plain,
! [U_315,U_314] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_314),U_315))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_315),U_314))
| U_315 = U_314 ),
inference(variable_rename,[status(thm)],[f_168_1]) ).
cnf(f_168_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_314),U_315))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_315),U_314))
| U_315 = U_314 ),
inference(clausify,[status(thm)],[f_168_2]) ).
fof(f_169_1,plain,
! [Y_1,X_2] :
( ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
| X_2 != Y_1 )
& ( X_2 = Y_1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) ) )
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2)) ),
inference(fof_nnf,[status(thm)],[fact_85_linorder__antisym__conv3]) ).
fof(f_169_2,plain,
! [U_317,U_316] :
( ( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_316),U_317))
| U_316 != U_317 )
& ( U_316 = U_317
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_316),U_317)) ) )
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_317),U_316)) ),
inference(variable_rename,[status(thm)],[f_169_1]) ).
cnf(f_169_3,plain,
( U_316 = U_317
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_316),U_317))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_317),U_316)) ),
inference(clausify,[status(thm)],[f_169_2]) ).
cnf(f_169_4,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_316),U_317))
| U_316 != U_317
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_317),U_316)) ),
inference(clausify,[status(thm)],[f_169_2]) ).
fof(f_170_1,plain,
! [X_4,Y_3] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_3),X_4))
| X_4 = Y_3
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_4),Y_3)) ),
inference(fof_nnf,[status(thm)],[fact_86_linorder__less__linear]) ).
fof(f_170_2,plain,
! [U_319,U_318] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_318),U_319))
| U_319 = U_318
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_319),U_318)) ),
inference(variable_rename,[status(thm)],[f_170_1]) ).
cnf(f_170_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_318),U_319))
| U_319 = U_318
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_319),U_318)) ),
inference(clausify,[status(thm)],[f_170_2]) ).
fof(f_171_1,plain,
! [X_2,Y_1] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
| ( X_2 != Y_1
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2)) ) )
& ( X_2 = Y_1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) ) ),
inference(fof_nnf,[status(thm)],[fact_87_not__less__iff__gr__or__eq]) ).
fof(f_171_2,plain,
! [U_321,U_320] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_321),U_320))
| ( U_321 != U_320
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_320),U_321)) ) )
& ( U_321 = U_320
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_320),U_321))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_321),U_320)) ) ),
inference(variable_rename,[status(thm)],[f_171_1]) ).
fof(f_171_3,plain,
( ! [U_325,U_323] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_325),U_323))
| ( U_325 != U_323
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_323),U_325)) ) )
& ! [U_324,U_322] :
( U_324 = U_322
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_322),U_324))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_324),U_322)) ) ),
inference(miniscope,[status(thm)],[f_171_2]) ).
cnf(f_171_4,plain,
( U_324 = U_322
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_322),U_324))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_324),U_322)) ),
inference(clausify,[status(thm)],[f_171_3]) ).
cnf(f_171_5,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_323),U_325))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_325),U_323)) ),
inference(clausify,[status(thm)],[f_171_3]) ).
cnf(f_171_6,plain,
( U_325 != U_323
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_325),U_323)) ),
inference(clausify,[status(thm)],[f_171_3]) ).
fof(f_172_1,plain,
! [X_2,Y_1] :
( ( X_2 != Y_1
| ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1)) ) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_1))
| X_2 = Y_1 ) ),
inference(fof_nnf,[status(thm)],[fact_88_linorder__neq__iff]) ).
fof(f_172_2,plain,
! [U_327,U_326] :
( ( U_327 != U_326
| ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_326),U_327))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_327),U_326)) ) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_326),U_327))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_327),U_326))
| U_327 = U_326 ) ),
inference(variable_rename,[status(thm)],[f_172_1]) ).
fof(f_172_3,plain,
( ! [U_331,U_329] :
( U_331 != U_329
| ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_329),U_331))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_331),U_329)) ) )
& ! [U_330,U_328] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_328),U_330))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_330),U_328))
| U_330 = U_328 ) ),
inference(miniscope,[status(thm)],[f_172_2]) ).
cnf(f_172_4,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_328),U_330))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_330),U_328))
| U_330 = U_328 ),
inference(clausify,[status(thm)],[f_172_3]) ).
cnf(f_172_5,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_331),U_329))
| U_331 != U_329 ),
inference(clausify,[status(thm)],[f_172_3]) ).
cnf(f_172_6,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_329),U_331))
| U_331 != U_329 ),
inference(clausify,[status(thm)],[f_172_3]) ).
fof(f_173_1,plain,
! [X_2] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X_2),X_2)),
inference(fof_nnf,[status(thm)],[fact_89_order__less__irrefl]) ).
fof(f_173_2,plain,
! [U_332] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_332),U_332)),
inference(variable_rename,[status(thm)],[f_173_1]) ).
cnf(f_173_3,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_332),U_332)),
inference(clausify,[status(thm)],[f_173_2]) ).
fof(f_174_1,plain,
! [X_3] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_3),X_3)),
inference(fof_nnf,[status(thm)],[fact_90_order__less__irrefl]) ).
fof(f_174_2,plain,
! [U_333] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_333),U_333)),
inference(variable_rename,[status(thm)],[f_174_1]) ).
cnf(f_174_3,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,U_333),U_333)),
inference(clausify,[status(thm)],[f_174_2]) ).
fof(f_175_1,plain,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
inference(fof_nnf,[status(thm)],[fact_91_UNIV__def]) ).
cnf(f_175_2,plain,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
inference(clausify,[status(thm)],[f_175_1]) ).
fof(f_176_1,plain,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
inference(fof_nnf,[status(thm)],[fact_92_UNIV__def]) ).
cnf(f_176_2,plain,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
inference(clausify,[status(thm)],[f_176_1]) ).
fof(f_177_1,plain,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
inference(fof_nnf,[status(thm)],[fact_93_UNIV__def]) ).
cnf(f_177_2,plain,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
inference(clausify,[status(thm)],[f_177_1]) ).
fof(f_178_1,plain,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
inference(fof_nnf,[status(thm)],[fact_94_UNIV__def]) ).
cnf(f_178_2,plain,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
inference(clausify,[status(thm)],[f_178_1]) ).
fof(f_179_1,plain,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
inference(fof_nnf,[status(thm)],[fact_95_UNIV__def]) ).
cnf(f_179_2,plain,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
inference(clausify,[status(thm)],[f_179_1]) ).
fof(f_180_1,plain,
! [S,R_1] :
( ( ( ! [X_1,Xa] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),R_1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),S)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),S))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),R_1)) ) )
| ~ is_Arr553848933le_alt(Xa)
| ~ is_Arr553848933le_alt(X_1) )
| R_1 != S )
& ( R_1 = S
| ? [X_1,Xa] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),R_1))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),S)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),S))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_1,Xa)),R_1)) ) )
& is_Arr553848933le_alt(Xa)
& is_Arr553848933le_alt(X_1) ) ) )
| ~ is_fun282293932t_bool(R_1)
| ~ is_fun282293932t_bool(S) ),
inference(fof_nnf,[status(thm)],[fact_96_pred__equals__eq2]) ).
fof(f_180_2,plain,
! [U_339,U_338] :
( ( ( ! [U_337,U_336] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_338))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_339)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_339))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_338)) ) )
| ~ is_Arr553848933le_alt(U_336)
| ~ is_Arr553848933le_alt(U_337) )
| U_338 != U_339 )
& ( U_338 = U_339
| ? [U_335,U_334] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_335,U_334)),U_338))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_335,U_334)),U_339)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_335,U_334)),U_339))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_335,U_334)),U_338)) ) )
& is_Arr553848933le_alt(U_334)
& is_Arr553848933le_alt(U_335) ) ) )
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(variable_rename,[status(thm)],[f_180_1]) ).
fof(f_180_3,plain,
! [U_339,U_338] :
( ( ( ! [U_337,U_336] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_338))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_339)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_339))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_338)) ) )
| ~ is_Arr553848933le_alt(U_336)
| ~ is_Arr553848933le_alt(U_337) )
| U_338 != U_339 )
& ( U_338 = U_339
| ? [U_334] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),U_334)),U_338))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),U_334)),U_339)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),U_334)),U_339))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),U_334)),U_338)) ) )
& is_Arr553848933le_alt(U_334)
& is_Arr553848933le_alt(sK18(U_339,U_338)) ) ) )
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_335,sK18(U_339,U_338))],[f_180_2]) ).
fof(f_180_4,plain,
! [U_339,U_338] :
( ( ( ! [U_337,U_336] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_338))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_339)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_339))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_338)) ) )
| ~ is_Arr553848933le_alt(U_336)
| ~ is_Arr553848933le_alt(U_337) )
| U_338 != U_339 )
& ( U_338 = U_339
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_338))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_339)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_339))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_338)) ) )
& is_Arr553848933le_alt(sK19(U_339,U_338))
& is_Arr553848933le_alt(sK18(U_339,U_338)) ) ) )
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_334,sK19(U_339,U_338))],[f_180_3]) ).
cnf(f_180_5,plain,
( is_Arr553848933le_alt(sK18(U_339,U_338))
| U_338 = U_339
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(clausify,[status(thm)],[f_180_4]) ).
cnf(f_180_6,plain,
( is_Arr553848933le_alt(sK19(U_339,U_338))
| U_338 = U_339
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(clausify,[status(thm)],[f_180_4]) ).
cnf(f_180_7,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_339))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_338))
| U_338 = U_339
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(clausify,[status(thm)],[f_180_4]) ).
cnf(f_180_8,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_338))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_338))
| U_338 = U_339
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(clausify,[status(thm)],[f_180_4]) ).
cnf(f_180_9,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_339))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_339))
| U_338 = U_339
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(clausify,[status(thm)],[f_180_4]) ).
cnf(f_180_10,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_338))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK18(U_339,U_338),sK19(U_339,U_338))),U_339))
| U_338 = U_339
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(clausify,[status(thm)],[f_180_4]) ).
cnf(f_180_11,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_339))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_338))
| ~ is_Arr553848933le_alt(U_336)
| ~ is_Arr553848933le_alt(U_337)
| U_338 != U_339
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(clausify,[status(thm)],[f_180_4]) ).
cnf(f_180_12,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_338))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_337,U_336)),U_339))
| ~ is_Arr553848933le_alt(U_336)
| ~ is_Arr553848933le_alt(U_337)
| U_338 != U_339
| ~ is_fun282293932t_bool(U_338)
| ~ is_fun282293932t_bool(U_339) ),
inference(clausify,[status(thm)],[f_180_4]) ).
fof(f_181_1,plain,
! [Aa] :
( ( ( Aa != top_to2005687013l_bool
| ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,Aa),top_to2005687013l_bool)) )
& ( hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,Aa),top_to2005687013l_bool))
| Aa = top_to2005687013l_bool ) )
| ~ is_fun432044380l_bool(Aa) ),
inference(fof_nnf,[status(thm)],[fact_97_less__top]) ).
fof(f_181_2,plain,
! [U_340] :
( ( ( U_340 != top_to2005687013l_bool
| ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,U_340),top_to2005687013l_bool)) )
& ( hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,U_340),top_to2005687013l_bool))
| U_340 = top_to2005687013l_bool ) )
| ~ is_fun432044380l_bool(U_340) ),
inference(variable_rename,[status(thm)],[f_181_1]) ).
cnf(f_181_3,plain,
( hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,U_340),top_to2005687013l_bool))
| U_340 = top_to2005687013l_bool
| ~ is_fun432044380l_bool(U_340) ),
inference(clausify,[status(thm)],[f_181_2]) ).
cnf(f_181_4,plain,
( U_340 != top_to2005687013l_bool
| ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,U_340),top_to2005687013l_bool))
| ~ is_fun432044380l_bool(U_340) ),
inference(clausify,[status(thm)],[f_181_2]) ).
fof(f_182_1,plain,
! [Aa] :
( ( ( Aa != top_to1194196741l_bool
| ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,Aa),top_to1194196741l_bool)) )
& ( hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,Aa),top_to1194196741l_bool))
| Aa = top_to1194196741l_bool ) )
| ~ is_fun959573582l_bool(Aa) ),
inference(fof_nnf,[status(thm)],[fact_98_less__top]) ).
fof(f_182_2,plain,
! [U_341] :
( ( ( U_341 != top_to1194196741l_bool
| ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,U_341),top_to1194196741l_bool)) )
& ( hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,U_341),top_to1194196741l_bool))
| U_341 = top_to1194196741l_bool ) )
| ~ is_fun959573582l_bool(U_341) ),
inference(variable_rename,[status(thm)],[f_182_1]) ).
cnf(f_182_3,plain,
( hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,U_341),top_to1194196741l_bool))
| U_341 = top_to1194196741l_bool
| ~ is_fun959573582l_bool(U_341) ),
inference(clausify,[status(thm)],[f_182_2]) ).
cnf(f_182_4,plain,
( U_341 != top_to1194196741l_bool
| ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,U_341),top_to1194196741l_bool))
| ~ is_fun959573582l_bool(U_341) ),
inference(clausify,[status(thm)],[f_182_2]) ).
fof(f_183_1,plain,
! [Aa] :
( ( ( Aa != top_to40512653l_bool
| ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,Aa),top_to40512653l_bool)) )
& ( hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,Aa),top_to40512653l_bool))
| Aa = top_to40512653l_bool ) )
| ~ is_fun631676118l_bool(Aa) ),
inference(fof_nnf,[status(thm)],[fact_99_less__top]) ).
fof(f_183_2,plain,
! [U_342] :
( ( ( U_342 != top_to40512653l_bool
| ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,U_342),top_to40512653l_bool)) )
& ( hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,U_342),top_to40512653l_bool))
| U_342 = top_to40512653l_bool ) )
| ~ is_fun631676118l_bool(U_342) ),
inference(variable_rename,[status(thm)],[f_183_1]) ).
cnf(f_183_3,plain,
( hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,U_342),top_to40512653l_bool))
| U_342 = top_to40512653l_bool
| ~ is_fun631676118l_bool(U_342) ),
inference(clausify,[status(thm)],[f_183_2]) ).
cnf(f_183_4,plain,
( U_342 != top_to40512653l_bool
| ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,U_342),top_to40512653l_bool))
| ~ is_fun631676118l_bool(U_342) ),
inference(clausify,[status(thm)],[f_183_2]) ).
fof(f_184_1,plain,
! [Aa] :
( ( ( ~ hBOOL(Aa)
& hBOOL(top_top_bool) )
| ( ~ hBOOL(top_top_bool)
& hBOOL(Aa) )
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Aa),top_top_bool)) )
& ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,Aa),top_top_bool))
| ( ( hBOOL(Aa)
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(Aa) ) ) ) ),
inference(fof_nnf,[status(thm)],[fact_100_less__top]) ).
fof(f_184_2,plain,
! [U_343] :
( ( ( ~ hBOOL(U_343)
& hBOOL(top_top_bool) )
| ( ~ hBOOL(top_top_bool)
& hBOOL(U_343) )
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_343),top_top_bool)) )
& ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_343),top_top_bool))
| ( ( hBOOL(U_343)
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(U_343) ) ) ) ),
inference(variable_rename,[status(thm)],[f_184_1]) ).
fof(f_184_3,plain,
( ! [U_345] :
( ( ~ hBOOL(U_345)
& hBOOL(top_top_bool) )
| ( ~ hBOOL(top_top_bool)
& hBOOL(U_345) )
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_345),top_top_bool)) )
& ! [U_344] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_344),top_top_bool))
| ( ( hBOOL(U_344)
| ~ hBOOL(top_top_bool) )
& ( hBOOL(top_top_bool)
| ~ hBOOL(U_344) ) ) ) ),
inference(miniscope,[status(thm)],[f_184_2]) ).
cnf(f_184_4,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(U_344)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_344),top_top_bool)) ),
inference(clausify,[status(thm)],[f_184_3]) ).
cnf(f_184_5,plain,
( hBOOL(U_344)
| ~ hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_344),top_top_bool)) ),
inference(clausify,[status(thm)],[f_184_3]) ).
cnf(f_184_6,plain,
( hBOOL(top_top_bool)
| hBOOL(U_345)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_345),top_top_bool)) ),
inference(clausify,[status(thm)],[f_184_3]) ).
cnf(f_184_7,plain,
( ~ hBOOL(U_345)
| hBOOL(U_345)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_345),top_top_bool)) ),
inference(clausify,[status(thm)],[f_184_3]) ).
cnf(f_184_8,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_345),top_top_bool)) ),
inference(clausify,[status(thm)],[f_184_3]) ).
cnf(f_184_9,plain,
( ~ hBOOL(U_345)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,U_345),top_top_bool)) ),
inference(clausify,[status(thm)],[f_184_3]) ).
fof(f_185_1,plain,
! [Aa] :
( ( ( Aa != top_to2034604131t_bool
| ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,Aa),top_to2034604131t_bool)) )
& ( hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,Aa),top_to2034604131t_bool))
| Aa = top_to2034604131t_bool ) )
| ~ is_fun282293932t_bool(Aa) ),
inference(fof_nnf,[status(thm)],[fact_101_less__top]) ).
fof(f_185_2,plain,
! [U_346] :
( ( ( U_346 != top_to2034604131t_bool
| ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,U_346),top_to2034604131t_bool)) )
& ( hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,U_346),top_to2034604131t_bool))
| U_346 = top_to2034604131t_bool ) )
| ~ is_fun282293932t_bool(U_346) ),
inference(variable_rename,[status(thm)],[f_185_1]) ).
cnf(f_185_3,plain,
( hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,U_346),top_to2034604131t_bool))
| U_346 = top_to2034604131t_bool
| ~ is_fun282293932t_bool(U_346) ),
inference(clausify,[status(thm)],[f_185_2]) ).
cnf(f_185_4,plain,
( U_346 != top_to2034604131t_bool
| ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,U_346),top_to2034604131t_bool))
| ~ is_fun282293932t_bool(U_346) ),
inference(clausify,[status(thm)],[f_185_2]) ).
fof(f_186_1,plain,
! [Aa] :
( ( ( Aa != top_to1256827021i_bool
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),top_to1256827021i_bool)) )
& ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,Aa),top_to1256827021i_bool))
| Aa = top_to1256827021i_bool ) )
| ~ is_fun917378774i_bool(Aa) ),
inference(fof_nnf,[status(thm)],[fact_102_less__top]) ).
fof(f_186_2,plain,
! [U_347] :
( ( ( U_347 != top_to1256827021i_bool
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_347),top_to1256827021i_bool)) )
& ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_347),top_to1256827021i_bool))
| U_347 = top_to1256827021i_bool ) )
| ~ is_fun917378774i_bool(U_347) ),
inference(variable_rename,[status(thm)],[f_186_1]) ).
cnf(f_186_3,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_347),top_to1256827021i_bool))
| U_347 = top_to1256827021i_bool
| ~ is_fun917378774i_bool(U_347) ),
inference(clausify,[status(thm)],[f_186_2]) ).
cnf(f_186_4,plain,
( U_347 != top_to1256827021i_bool
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,U_347),top_to1256827021i_bool))
| ~ is_fun917378774i_bool(U_347) ),
inference(clausify,[status(thm)],[f_186_2]) ).
fof(f_187_1,plain,
! [X_2,Y_1,F] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,F),Y_1) = X_2
| hAPP_A588601142di_nat(F,X_2) != Y_1
| ~ hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X_2) ),
inference(fof_nnf,[status(thm)],[fact_103_inv__f__eq]) ).
fof(f_187_2,plain,
! [U_350,U_349,U_348] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,U_348),U_349) = U_350
| hAPP_A588601142di_nat(U_348,U_350) != U_349
| ~ hBOOL(inj_on24934938di_nat(U_348,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_350) ),
inference(variable_rename,[status(thm)],[f_187_1]) ).
fof(f_187_3,plain,
! [U_350] :
( ! [U_349,U_348] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,U_348),U_349) = U_350
| hAPP_A588601142di_nat(U_348,U_350) != U_349
| ~ hBOOL(inj_on24934938di_nat(U_348,top_to1256827021i_bool)) )
| ~ is_Arr625519182e_indi(U_350) ),
inference(miniscope,[status(thm)],[f_187_2]) ).
cnf(f_187_4,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,U_348),U_349) = U_350
| hAPP_A588601142di_nat(U_348,U_350) != U_349
| ~ hBOOL(inj_on24934938di_nat(U_348,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_350) ),
inference(clausify,[status(thm)],[f_187_3]) ).
fof(f_188_1,plain,
! [X_2,F] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,F),hAPP_A588601142di_nat(F,X_2)) = X_2
| ~ hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X_2) ),
inference(fof_nnf,[status(thm)],[fact_104_inv__f__f]) ).
fof(f_188_2,plain,
! [U_352,U_351] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,U_351),hAPP_A588601142di_nat(U_351,U_352)) = U_352
| ~ hBOOL(inj_on24934938di_nat(U_351,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_352) ),
inference(variable_rename,[status(thm)],[f_188_1]) ).
fof(f_188_3,plain,
! [U_352] :
( ! [U_351] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,U_351),hAPP_A588601142di_nat(U_351,U_352)) = U_352
| ~ hBOOL(inj_on24934938di_nat(U_351,top_to1256827021i_bool)) )
| ~ is_Arr625519182e_indi(U_352) ),
inference(miniscope,[status(thm)],[f_188_2]) ).
cnf(f_188_4,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,U_351),hAPP_A588601142di_nat(U_351,U_352)) = U_352
| ~ hBOOL(inj_on24934938di_nat(U_351,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_352) ),
inference(clausify,[status(thm)],[f_188_3]) ).
fof(f_189_1,plain,
! [X_2,F,A] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(A,F),hAPP_A588601142di_nat(F,X_2)) = X_2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(inj_on24934938di_nat(F,A))
| ~ is_Arr625519182e_indi(X_2) ),
inference(fof_nnf,[status(thm)],[fact_105_inv__into__f__f]) ).
fof(f_189_2,plain,
! [U_355,U_354,U_353] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(U_353,U_354),hAPP_A588601142di_nat(U_354,U_355)) = U_355
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_355),U_353))
| ~ hBOOL(inj_on24934938di_nat(U_354,U_353))
| ~ is_Arr625519182e_indi(U_355) ),
inference(variable_rename,[status(thm)],[f_189_1]) ).
fof(f_189_3,plain,
! [U_355] :
( ! [U_354,U_353] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(U_353,U_354),hAPP_A588601142di_nat(U_354,U_355)) = U_355
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_355),U_353))
| ~ hBOOL(inj_on24934938di_nat(U_354,U_353)) )
| ~ is_Arr625519182e_indi(U_355) ),
inference(miniscope,[status(thm)],[f_189_2]) ).
cnf(f_189_4,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(U_353,U_354),hAPP_A588601142di_nat(U_354,U_355)) = U_355
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_355),U_353))
| ~ hBOOL(inj_on24934938di_nat(U_354,U_353))
| ~ is_Arr625519182e_indi(U_355) ),
inference(clausify,[status(thm)],[f_189_3]) ).
fof(f_190_1,plain,
! [Y_1,X_2,F,A] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(A,F),Y_1) = X_2
| hAPP_A588601142di_nat(F,X_2) != Y_1
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(inj_on24934938di_nat(F,A))
| ~ is_Arr625519182e_indi(X_2) ),
inference(fof_nnf,[status(thm)],[fact_106_inv__into__f__eq]) ).
fof(f_190_2,plain,
! [U_359,U_358,U_357,U_356] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(U_356,U_357),U_359) = U_358
| hAPP_A588601142di_nat(U_357,U_358) != U_359
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_358),U_356))
| ~ hBOOL(inj_on24934938di_nat(U_357,U_356))
| ~ is_Arr625519182e_indi(U_358) ),
inference(variable_rename,[status(thm)],[f_190_1]) ).
fof(f_190_3,plain,
! [U_359,U_358] :
( ! [U_357,U_356] :
( hAPP_n385347014e_indi(hilber1792103167di_nat(U_356,U_357),U_359) = U_358
| hAPP_A588601142di_nat(U_357,U_358) != U_359
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_358),U_356))
| ~ hBOOL(inj_on24934938di_nat(U_357,U_356)) )
| ~ is_Arr625519182e_indi(U_358) ),
inference(miniscope,[status(thm)],[f_190_2]) ).
cnf(f_190_4,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(U_356,U_357),U_359) = U_358
| hAPP_A588601142di_nat(U_357,U_358) != U_359
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_358),U_356))
| ~ hBOOL(inj_on24934938di_nat(U_357,U_356))
| ~ is_Arr625519182e_indi(U_358) ),
inference(clausify,[status(thm)],[f_190_3]) ).
fof(f_191_1,plain,
! [X_2,Y_1,F] :
( ( ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
| X_2 != Y_1 )
& ( X_2 = Y_1
| hAPP_A588601142di_nat(F,X_2) != hAPP_A588601142di_nat(F,Y_1) ) )
| ~ hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(Y_1)
| ~ is_Arr625519182e_indi(X_2) ),
inference(fof_nnf,[status(thm)],[fact_107_inj__eq]) ).
fof(f_191_2,plain,
! [U_362,U_361,U_360] :
( ( ( hAPP_A588601142di_nat(U_360,U_362) = hAPP_A588601142di_nat(U_360,U_361)
| U_362 != U_361 )
& ( U_362 = U_361
| hAPP_A588601142di_nat(U_360,U_362) != hAPP_A588601142di_nat(U_360,U_361) ) )
| ~ hBOOL(inj_on24934938di_nat(U_360,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_361)
| ~ is_Arr625519182e_indi(U_362) ),
inference(variable_rename,[status(thm)],[f_191_1]) ).
fof(f_191_3,plain,
! [U_362,U_361] :
( ! [U_360] :
( ( ( hAPP_A588601142di_nat(U_360,U_362) = hAPP_A588601142di_nat(U_360,U_361)
| U_362 != U_361 )
& ( U_362 = U_361
| hAPP_A588601142di_nat(U_360,U_362) != hAPP_A588601142di_nat(U_360,U_361) ) )
| ~ hBOOL(inj_on24934938di_nat(U_360,top_to1256827021i_bool)) )
| ~ is_Arr625519182e_indi(U_361)
| ~ is_Arr625519182e_indi(U_362) ),
inference(miniscope,[status(thm)],[f_191_2]) ).
cnf(f_191_4,plain,
( U_362 = U_361
| hAPP_A588601142di_nat(U_360,U_362) != hAPP_A588601142di_nat(U_360,U_361)
| ~ hBOOL(inj_on24934938di_nat(U_360,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_361)
| ~ is_Arr625519182e_indi(U_362) ),
inference(clausify,[status(thm)],[f_191_3]) ).
cnf(f_191_5,plain,
( hAPP_A588601142di_nat(U_360,U_362) = hAPP_A588601142di_nat(U_360,U_361)
| U_362 != U_361
| ~ hBOOL(inj_on24934938di_nat(U_360,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_361)
| ~ is_Arr625519182e_indi(U_362) ),
inference(clausify,[status(thm)],[f_191_3]) ).
fof(f_192_1,plain,
! [F,A] :
( ( hBOOL(inj_on24934938di_nat(F,A))
| ? [X_1] :
( ? [Xa] :
( X_1 != Xa
& hAPP_A588601142di_nat(F,X_1) = hAPP_A588601142di_nat(F,Xa)
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Xa),A))
& is_Arr625519182e_indi(Xa) )
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_1),A))
& is_Arr625519182e_indi(X_1) ) )
& ( ! [X_1] :
( ! [Xa] :
( X_1 = Xa
| hAPP_A588601142di_nat(F,X_1) != hAPP_A588601142di_nat(F,Xa)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Xa),A))
| ~ is_Arr625519182e_indi(Xa) )
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_1),A))
| ~ is_Arr625519182e_indi(X_1) )
| ~ hBOOL(inj_on24934938di_nat(F,A)) ) ),
inference(fof_nnf,[status(thm)],[fact_108_inj__on__def]) ).
fof(f_192_2,plain,
! [U_368,U_367] :
( ( hBOOL(inj_on24934938di_nat(U_368,U_367))
| ? [U_366] :
( ? [U_365] :
( U_366 != U_365
& hAPP_A588601142di_nat(U_368,U_366) = hAPP_A588601142di_nat(U_368,U_365)
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_365),U_367))
& is_Arr625519182e_indi(U_365) )
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_366),U_367))
& is_Arr625519182e_indi(U_366) ) )
& ( ! [U_364] :
( ! [U_363] :
( U_364 = U_363
| hAPP_A588601142di_nat(U_368,U_364) != hAPP_A588601142di_nat(U_368,U_363)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_363),U_367))
| ~ is_Arr625519182e_indi(U_363) )
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_364),U_367))
| ~ is_Arr625519182e_indi(U_364) )
| ~ hBOOL(inj_on24934938di_nat(U_368,U_367)) ) ),
inference(variable_rename,[status(thm)],[f_192_1]) ).
fof(f_192_3,plain,
( ! [U_372,U_370] :
( hBOOL(inj_on24934938di_nat(U_372,U_370))
| ? [U_366] :
( ? [U_365] :
( U_366 != U_365
& hAPP_A588601142di_nat(U_372,U_366) = hAPP_A588601142di_nat(U_372,U_365)
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_365),U_370))
& is_Arr625519182e_indi(U_365) )
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_366),U_370))
& is_Arr625519182e_indi(U_366) ) )
& ! [U_371,U_369] :
( ! [U_364] :
( ! [U_363] :
( U_364 = U_363
| hAPP_A588601142di_nat(U_371,U_364) != hAPP_A588601142di_nat(U_371,U_363)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_363),U_369))
| ~ is_Arr625519182e_indi(U_363) )
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_364),U_369))
| ~ is_Arr625519182e_indi(U_364) )
| ~ hBOOL(inj_on24934938di_nat(U_371,U_369)) ) ),
inference(miniscope,[status(thm)],[f_192_2]) ).
fof(f_192_4,plain,
( ! [U_372,U_370] :
( hBOOL(inj_on24934938di_nat(U_372,U_370))
| ( ? [U_365] :
( sK20(U_372,U_370) != U_365
& hAPP_A588601142di_nat(U_372,sK20(U_372,U_370)) = hAPP_A588601142di_nat(U_372,U_365)
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_365),U_370))
& is_Arr625519182e_indi(U_365) )
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sK20(U_372,U_370)),U_370))
& is_Arr625519182e_indi(sK20(U_372,U_370)) ) )
& ! [U_371,U_369] :
( ! [U_364] :
( ! [U_363] :
( U_364 = U_363
| hAPP_A588601142di_nat(U_371,U_364) != hAPP_A588601142di_nat(U_371,U_363)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_363),U_369))
| ~ is_Arr625519182e_indi(U_363) )
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_364),U_369))
| ~ is_Arr625519182e_indi(U_364) )
| ~ hBOOL(inj_on24934938di_nat(U_371,U_369)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_366,sK20(U_372,U_370))],[f_192_3]) ).
fof(f_192_5,plain,
( ! [U_372,U_370] :
( hBOOL(inj_on24934938di_nat(U_372,U_370))
| ( sK20(U_372,U_370) != sK21(U_372,U_370)
& hAPP_A588601142di_nat(U_372,sK20(U_372,U_370)) = hAPP_A588601142di_nat(U_372,sK21(U_372,U_370))
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sK21(U_372,U_370)),U_370))
& is_Arr625519182e_indi(sK21(U_372,U_370))
& hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sK20(U_372,U_370)),U_370))
& is_Arr625519182e_indi(sK20(U_372,U_370)) ) )
& ! [U_371,U_369] :
( ! [U_364] :
( ! [U_363] :
( U_364 = U_363
| hAPP_A588601142di_nat(U_371,U_364) != hAPP_A588601142di_nat(U_371,U_363)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_363),U_369))
| ~ is_Arr625519182e_indi(U_363) )
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_364),U_369))
| ~ is_Arr625519182e_indi(U_364) )
| ~ hBOOL(inj_on24934938di_nat(U_371,U_369)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_365,sK21(U_372,U_370))],[f_192_4]) ).
cnf(f_192_6,plain,
( U_364 = U_363
| hAPP_A588601142di_nat(U_371,U_364) != hAPP_A588601142di_nat(U_371,U_363)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_363),U_369))
| ~ is_Arr625519182e_indi(U_363)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_364),U_369))
| ~ is_Arr625519182e_indi(U_364)
| ~ hBOOL(inj_on24934938di_nat(U_371,U_369)) ),
inference(clausify,[status(thm)],[f_192_5]) ).
cnf(f_192_7,plain,
( is_Arr625519182e_indi(sK20(U_372,U_370))
| hBOOL(inj_on24934938di_nat(U_372,U_370)) ),
inference(clausify,[status(thm)],[f_192_5]) ).
cnf(f_192_8,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sK20(U_372,U_370)),U_370))
| hBOOL(inj_on24934938di_nat(U_372,U_370)) ),
inference(clausify,[status(thm)],[f_192_5]) ).
cnf(f_192_9,plain,
( is_Arr625519182e_indi(sK21(U_372,U_370))
| hBOOL(inj_on24934938di_nat(U_372,U_370)) ),
inference(clausify,[status(thm)],[f_192_5]) ).
cnf(f_192_10,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sK21(U_372,U_370)),U_370))
| hBOOL(inj_on24934938di_nat(U_372,U_370)) ),
inference(clausify,[status(thm)],[f_192_5]) ).
cnf(f_192_11,plain,
( hAPP_A588601142di_nat(U_372,sK20(U_372,U_370)) = hAPP_A588601142di_nat(U_372,sK21(U_372,U_370))
| hBOOL(inj_on24934938di_nat(U_372,U_370)) ),
inference(clausify,[status(thm)],[f_192_5]) ).
cnf(f_192_12,plain,
( sK20(U_372,U_370) != sK21(U_372,U_370)
| hBOOL(inj_on24934938di_nat(U_372,U_370)) ),
inference(clausify,[status(thm)],[f_192_5]) ).
fof(f_193_1,plain,
! [X_2,Y_1,F,A] :
( hAPP_A588601142di_nat(F,X_2) != hAPP_A588601142di_nat(F,Y_1)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| X_2 = Y_1
| ~ hBOOL(inj_on24934938di_nat(F,A))
| ~ is_Arr625519182e_indi(Y_1)
| ~ is_Arr625519182e_indi(X_2) ),
inference(fof_nnf,[status(thm)],[fact_109_inj__on__contraD]) ).
fof(f_193_2,plain,
! [U_376,U_375,U_374,U_373] :
( hAPP_A588601142di_nat(U_374,U_376) != hAPP_A588601142di_nat(U_374,U_375)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_375),U_373))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_376),U_373))
| U_376 = U_375
| ~ hBOOL(inj_on24934938di_nat(U_374,U_373))
| ~ is_Arr625519182e_indi(U_375)
| ~ is_Arr625519182e_indi(U_376) ),
inference(variable_rename,[status(thm)],[f_193_1]) ).
fof(f_193_3,plain,
! [U_376,U_375] :
( ! [U_374,U_373] :
( hAPP_A588601142di_nat(U_374,U_376) != hAPP_A588601142di_nat(U_374,U_375)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_375),U_373))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_376),U_373))
| U_376 = U_375
| ~ hBOOL(inj_on24934938di_nat(U_374,U_373)) )
| ~ is_Arr625519182e_indi(U_375)
| ~ is_Arr625519182e_indi(U_376) ),
inference(miniscope,[status(thm)],[f_193_2]) ).
cnf(f_193_4,plain,
( hAPP_A588601142di_nat(U_374,U_376) != hAPP_A588601142di_nat(U_374,U_375)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_375),U_373))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_376),U_373))
| U_376 = U_375
| ~ hBOOL(inj_on24934938di_nat(U_374,U_373))
| ~ is_Arr625519182e_indi(U_375)
| ~ is_Arr625519182e_indi(U_376) ),
inference(clausify,[status(thm)],[f_193_3]) ).
fof(f_194_1,plain,
! [Y_1,X_2,F,A] :
( ( ( hAPP_A588601142di_nat(F,X_2) = hAPP_A588601142di_nat(F,Y_1)
| X_2 != Y_1 )
& ( X_2 = Y_1
| hAPP_A588601142di_nat(F,X_2) != hAPP_A588601142di_nat(F,Y_1) ) )
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(inj_on24934938di_nat(F,A))
| ~ is_Arr625519182e_indi(X_2)
| ~ is_Arr625519182e_indi(Y_1) ),
inference(fof_nnf,[status(thm)],[fact_110_inj__on__iff]) ).
fof(f_194_2,plain,
! [U_380,U_379,U_378,U_377] :
( ( ( hAPP_A588601142di_nat(U_378,U_379) = hAPP_A588601142di_nat(U_378,U_380)
| U_379 != U_380 )
& ( U_379 = U_380
| hAPP_A588601142di_nat(U_378,U_379) != hAPP_A588601142di_nat(U_378,U_380) ) )
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_380),U_377))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_379),U_377))
| ~ hBOOL(inj_on24934938di_nat(U_378,U_377))
| ~ is_Arr625519182e_indi(U_379)
| ~ is_Arr625519182e_indi(U_380) ),
inference(variable_rename,[status(thm)],[f_194_1]) ).
fof(f_194_3,plain,
! [U_380,U_379] :
( ! [U_378,U_377] :
( ( ( hAPP_A588601142di_nat(U_378,U_379) = hAPP_A588601142di_nat(U_378,U_380)
| U_379 != U_380 )
& ( U_379 = U_380
| hAPP_A588601142di_nat(U_378,U_379) != hAPP_A588601142di_nat(U_378,U_380) ) )
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_380),U_377))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_379),U_377))
| ~ hBOOL(inj_on24934938di_nat(U_378,U_377)) )
| ~ is_Arr625519182e_indi(U_379)
| ~ is_Arr625519182e_indi(U_380) ),
inference(miniscope,[status(thm)],[f_194_2]) ).
cnf(f_194_4,plain,
( U_379 = U_380
| hAPP_A588601142di_nat(U_378,U_379) != hAPP_A588601142di_nat(U_378,U_380)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_380),U_377))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_379),U_377))
| ~ hBOOL(inj_on24934938di_nat(U_378,U_377))
| ~ is_Arr625519182e_indi(U_379)
| ~ is_Arr625519182e_indi(U_380) ),
inference(clausify,[status(thm)],[f_194_3]) ).
cnf(f_194_5,plain,
( hAPP_A588601142di_nat(U_378,U_379) = hAPP_A588601142di_nat(U_378,U_380)
| U_379 != U_380
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_380),U_377))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_379),U_377))
| ~ hBOOL(inj_on24934938di_nat(U_378,U_377))
| ~ is_Arr625519182e_indi(U_379)
| ~ is_Arr625519182e_indi(U_380) ),
inference(clausify,[status(thm)],[f_194_3]) ).
fof(f_195_1,plain,
! [X_2,Y_1,F,A] :
( X_2 = Y_1
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(Y_1),A))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| hAPP_A588601142di_nat(F,X_2) != hAPP_A588601142di_nat(F,Y_1)
| ~ hBOOL(inj_on24934938di_nat(F,A))
| ~ is_Arr625519182e_indi(Y_1)
| ~ is_Arr625519182e_indi(X_2) ),
inference(fof_nnf,[status(thm)],[fact_111_inj__onD]) ).
fof(f_195_2,plain,
! [U_384,U_383,U_382,U_381] :
( U_384 = U_383
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_383),U_381))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_384),U_381))
| hAPP_A588601142di_nat(U_382,U_384) != hAPP_A588601142di_nat(U_382,U_383)
| ~ hBOOL(inj_on24934938di_nat(U_382,U_381))
| ~ is_Arr625519182e_indi(U_383)
| ~ is_Arr625519182e_indi(U_384) ),
inference(variable_rename,[status(thm)],[f_195_1]) ).
fof(f_195_3,plain,
! [U_384,U_383] :
( ! [U_382,U_381] :
( U_384 = U_383
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_383),U_381))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_384),U_381))
| hAPP_A588601142di_nat(U_382,U_384) != hAPP_A588601142di_nat(U_382,U_383)
| ~ hBOOL(inj_on24934938di_nat(U_382,U_381)) )
| ~ is_Arr625519182e_indi(U_383)
| ~ is_Arr625519182e_indi(U_384) ),
inference(miniscope,[status(thm)],[f_195_2]) ).
cnf(f_195_4,plain,
( U_384 = U_383
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_383),U_381))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_384),U_381))
| hAPP_A588601142di_nat(U_382,U_384) != hAPP_A588601142di_nat(U_382,U_383)
| ~ hBOOL(inj_on24934938di_nat(U_382,U_381))
| ~ is_Arr625519182e_indi(U_383)
| ~ is_Arr625519182e_indi(U_384) ),
inference(clausify,[status(thm)],[f_195_3]) ).
fof(f_196_1,plain,
! [X_2,Y_1,F] :
( X_2 = Y_1
| hAPP_A588601142di_nat(F,X_2) != hAPP_A588601142di_nat(F,Y_1)
| ~ hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(Y_1)
| ~ is_Arr625519182e_indi(X_2) ),
inference(fof_nnf,[status(thm)],[fact_112_injD]) ).
fof(f_196_2,plain,
! [U_387,U_386,U_385] :
( U_387 = U_386
| hAPP_A588601142di_nat(U_385,U_387) != hAPP_A588601142di_nat(U_385,U_386)
| ~ hBOOL(inj_on24934938di_nat(U_385,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_386)
| ~ is_Arr625519182e_indi(U_387) ),
inference(variable_rename,[status(thm)],[f_196_1]) ).
fof(f_196_3,plain,
! [U_387,U_386] :
( ! [U_385] :
( U_387 = U_386
| hAPP_A588601142di_nat(U_385,U_387) != hAPP_A588601142di_nat(U_385,U_386)
| ~ hBOOL(inj_on24934938di_nat(U_385,top_to1256827021i_bool)) )
| ~ is_Arr625519182e_indi(U_386)
| ~ is_Arr625519182e_indi(U_387) ),
inference(miniscope,[status(thm)],[f_196_2]) ).
cnf(f_196_4,plain,
( U_387 = U_386
| hAPP_A588601142di_nat(U_385,U_387) != hAPP_A588601142di_nat(U_385,U_386)
| ~ hBOOL(inj_on24934938di_nat(U_385,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(U_386)
| ~ is_Arr625519182e_indi(U_387) ),
inference(clausify,[status(thm)],[f_196_3]) ).
fof(f_197_1,plain,
! [G,F] :
( hilber1792103167di_nat(top_to1256827021i_bool,F) = G
| ? [X_1] : hAPP_A588601142di_nat(F,hAPP_n385347014e_indi(G,X_1)) != X_1
| ~ hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
| ~ is_fun1016509681e_indi(G) ),
inference(fof_nnf,[status(thm)],[fact_113_inj__imp__inv__eq]) ).
fof(f_197_2,plain,
! [U_390,U_389] :
( hilber1792103167di_nat(top_to1256827021i_bool,U_389) = U_390
| ? [U_388] : hAPP_A588601142di_nat(U_389,hAPP_n385347014e_indi(U_390,U_388)) != U_388
| ~ hBOOL(inj_on24934938di_nat(U_389,top_to1256827021i_bool))
| ~ is_fun1016509681e_indi(U_390) ),
inference(variable_rename,[status(thm)],[f_197_1]) ).
fof(f_197_3,plain,
! [U_390] :
( ! [U_389] :
( hilber1792103167di_nat(top_to1256827021i_bool,U_389) = U_390
| ? [U_388] : hAPP_A588601142di_nat(U_389,hAPP_n385347014e_indi(U_390,U_388)) != U_388
| ~ hBOOL(inj_on24934938di_nat(U_389,top_to1256827021i_bool)) )
| ~ is_fun1016509681e_indi(U_390) ),
inference(miniscope,[status(thm)],[f_197_2]) ).
fof(f_197_4,plain,
! [U_390] :
( ! [U_389] :
( hilber1792103167di_nat(top_to1256827021i_bool,U_389) = U_390
| hAPP_A588601142di_nat(U_389,hAPP_n385347014e_indi(U_390,sK22(U_390,U_389))) != sK22(U_390,U_389)
| ~ hBOOL(inj_on24934938di_nat(U_389,top_to1256827021i_bool)) )
| ~ is_fun1016509681e_indi(U_390) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_388,sK22(U_390,U_389))],[f_197_3]) ).
cnf(f_197_5,plain,
( hilber1792103167di_nat(top_to1256827021i_bool,U_389) = U_390
| hAPP_A588601142di_nat(U_389,hAPP_n385347014e_indi(U_390,sK22(U_390,U_389))) != sK22(U_390,U_389)
| ~ hBOOL(inj_on24934938di_nat(U_389,top_to1256827021i_bool))
| ~ is_fun1016509681e_indi(U_390) ),
inference(clausify,[status(thm)],[f_197_4]) ).
fof(f_198_1,plain,
! [F] :
( hBOOL(inj_on24934938di_nat(F,top_to1256827021i_bool))
| ? [X_1,Y_2] :
( X_1 != Y_2
& hAPP_A588601142di_nat(F,X_1) = hAPP_A588601142di_nat(F,Y_2)
& is_Arr625519182e_indi(Y_2)
& is_Arr625519182e_indi(X_1) ) ),
inference(fof_nnf,[status(thm)],[fact_114_injI]) ).
fof(f_198_2,plain,
! [U_393] :
( hBOOL(inj_on24934938di_nat(U_393,top_to1256827021i_bool))
| ? [U_392,U_391] :
( U_392 != U_391
& hAPP_A588601142di_nat(U_393,U_392) = hAPP_A588601142di_nat(U_393,U_391)
& is_Arr625519182e_indi(U_391)
& is_Arr625519182e_indi(U_392) ) ),
inference(variable_rename,[status(thm)],[f_198_1]) ).
fof(f_198_3,plain,
! [U_393] :
( hBOOL(inj_on24934938di_nat(U_393,top_to1256827021i_bool))
| ? [U_391] :
( sK23(U_393) != U_391
& hAPP_A588601142di_nat(U_393,sK23(U_393)) = hAPP_A588601142di_nat(U_393,U_391)
& is_Arr625519182e_indi(U_391)
& is_Arr625519182e_indi(sK23(U_393)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_392,sK23(U_393))],[f_198_2]) ).
fof(f_198_4,plain,
! [U_393] :
( hBOOL(inj_on24934938di_nat(U_393,top_to1256827021i_bool))
| ( sK23(U_393) != sK24(U_393)
& hAPP_A588601142di_nat(U_393,sK23(U_393)) = hAPP_A588601142di_nat(U_393,sK24(U_393))
& is_Arr625519182e_indi(sK24(U_393))
& is_Arr625519182e_indi(sK23(U_393)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_391,sK24(U_393))],[f_198_3]) ).
cnf(f_198_5,plain,
( is_Arr625519182e_indi(sK23(U_393))
| hBOOL(inj_on24934938di_nat(U_393,top_to1256827021i_bool)) ),
inference(clausify,[status(thm)],[f_198_4]) ).
cnf(f_198_6,plain,
( is_Arr625519182e_indi(sK24(U_393))
| hBOOL(inj_on24934938di_nat(U_393,top_to1256827021i_bool)) ),
inference(clausify,[status(thm)],[f_198_4]) ).
cnf(f_198_7,plain,
( hAPP_A588601142di_nat(U_393,sK23(U_393)) = hAPP_A588601142di_nat(U_393,sK24(U_393))
| hBOOL(inj_on24934938di_nat(U_393,top_to1256827021i_bool)) ),
inference(clausify,[status(thm)],[f_198_4]) ).
cnf(f_198_8,plain,
( sK23(U_393) != sK24(U_393)
| hBOOL(inj_on24934938di_nat(U_393,top_to1256827021i_bool)) ),
inference(clausify,[status(thm)],[f_198_4]) ).
fof(f_199_1,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
inference(fof_nnf,[status(thm)],[fact_115_assms_I1_J]) ).
cnf(f_199_2,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
inference(clausify,[status(thm)],[f_199_1]) ).
fof(f_200_1,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
inference(fof_nnf,[status(thm)],[fact_116__096Lba_A_058_ALin_096]) ).
cnf(f_200_2,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
inference(clausify,[status(thm)],[f_200_1]) ).
fof(f_201_1,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
inference(fof_nnf,[status(thm)],[fact_117__096Lab_A_058_ALin_096]) ).
cnf(f_201_2,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
inference(clausify,[status(thm)],[f_201_1]) ).
fof(f_202_1,plain,
! [Aa,Ba,L] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Ba,Aa)),L))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),L))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) ),
inference(fof_nnf,[status(thm)],[fact_118_Lin__irrefl]) ).
fof(f_202_2,plain,
! [U_396,U_395,U_394] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_395,U_396)),U_394))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_396,U_395)),U_394))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_394),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[f_202_1]) ).
cnf(f_202_3,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_395,U_396)),U_394))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_396,U_395)),U_394))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_394),arrow_1239002508le_Lin)) ),
inference(clausify,[status(thm)],[f_202_2]) ).
fof(f_203_1,plain,
! [X_2,Y_1,L] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Y_1,X_2)),L)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Y_1,X_2)),L))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L)) ) )
| X_2 = Y_1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(Y_1)
| ~ is_Arr553848933le_alt(X_2) ),
inference(fof_nnf,[status(thm)],[fact_119_notin__Lin__iff]) ).
fof(f_203_2,plain,
! [U_399,U_398,U_397] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_399,U_398)),U_397))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_398,U_399)),U_397)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_398,U_399)),U_397))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_399,U_398)),U_397)) ) )
| U_399 = U_398
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_397),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(U_398)
| ~ is_Arr553848933le_alt(U_399) ),
inference(variable_rename,[status(thm)],[f_203_1]) ).
fof(f_203_3,plain,
! [U_399,U_398] :
( ! [U_397] :
( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_399,U_398)),U_397))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_398,U_399)),U_397)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_398,U_399)),U_397))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_399,U_398)),U_397)) ) )
| U_399 = U_398
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_397),arrow_1239002508le_Lin)) )
| ~ is_Arr553848933le_alt(U_398)
| ~ is_Arr553848933le_alt(U_399) ),
inference(miniscope,[status(thm)],[f_203_2]) ).
cnf(f_203_4,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_398,U_399)),U_397))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_399,U_398)),U_397))
| U_399 = U_398
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_397),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(U_398)
| ~ is_Arr553848933le_alt(U_399) ),
inference(clausify,[status(thm)],[f_203_3]) ).
cnf(f_203_5,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_399,U_398)),U_397))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_398,U_399)),U_397))
| U_399 = U_398
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_397),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(U_398)
| ~ is_Arr553848933le_alt(U_399) ),
inference(clausify,[status(thm)],[f_203_3]) ).
fof(f_204_1,plain,
! [X_2,A] :
( ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_A1466488369i_bool(A,X_2)) )
& ( hBOOL(hAPP_A1466488369i_bool(A,X_2))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A)) ) ),
inference(fof_nnf,[status(thm)],[fact_120_mem__def]) ).
fof(f_204_2,plain,
! [U_401,U_400] :
( ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_401),U_400))
| ~ hBOOL(hAPP_A1466488369i_bool(U_400,U_401)) )
& ( hBOOL(hAPP_A1466488369i_bool(U_400,U_401))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_401),U_400)) ) ),
inference(variable_rename,[status(thm)],[f_204_1]) ).
fof(f_204_3,plain,
( ! [U_405,U_403] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_405),U_403))
| ~ hBOOL(hAPP_A1466488369i_bool(U_403,U_405)) )
& ! [U_404,U_402] :
( hBOOL(hAPP_A1466488369i_bool(U_402,U_404))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_404),U_402)) ) ),
inference(miniscope,[status(thm)],[f_204_2]) ).
cnf(f_204_4,plain,
( hBOOL(hAPP_A1466488369i_bool(U_402,U_404))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_404),U_402)) ),
inference(clausify,[status(thm)],[f_204_3]) ).
cnf(f_204_5,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_405),U_403))
| ~ hBOOL(hAPP_A1466488369i_bool(U_403,U_405)) ),
inference(clausify,[status(thm)],[f_204_3]) ).
fof(f_205_1,plain,
! [X_2,A] :
( ( hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_bool_bool(A,X_2)) )
& ( hBOOL(hAPP_bool_bool(A,X_2))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A)) ) ),
inference(fof_nnf,[status(thm)],[fact_121_mem__def]) ).
fof(f_205_2,plain,
! [U_407,U_406] :
( ( hBOOL(hAPP_f387058535l_bool(member_bool(U_407),U_406))
| ~ hBOOL(hAPP_bool_bool(U_406,U_407)) )
& ( hBOOL(hAPP_bool_bool(U_406,U_407))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_407),U_406)) ) ),
inference(variable_rename,[status(thm)],[f_205_1]) ).
fof(f_205_3,plain,
( ! [U_411,U_409] :
( hBOOL(hAPP_f387058535l_bool(member_bool(U_411),U_409))
| ~ hBOOL(hAPP_bool_bool(U_409,U_411)) )
& ! [U_410,U_408] :
( hBOOL(hAPP_bool_bool(U_408,U_410))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_410),U_408)) ) ),
inference(miniscope,[status(thm)],[f_205_2]) ).
cnf(f_205_4,plain,
( hBOOL(hAPP_bool_bool(U_408,U_410))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_410),U_408)) ),
inference(clausify,[status(thm)],[f_205_3]) ).
cnf(f_205_5,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(U_411),U_409))
| ~ hBOOL(hAPP_bool_bool(U_409,U_411)) ),
inference(clausify,[status(thm)],[f_205_3]) ).
fof(f_206_1,plain,
! [X_2,A] :
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
| ~ hBOOL(hAPP_P2075002375t_bool(A,X_2)) )
& ( hBOOL(hAPP_P2075002375t_bool(A,X_2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A)) ) ),
inference(fof_nnf,[status(thm)],[fact_122_mem__def]) ).
fof(f_206_2,plain,
! [U_413,U_412] :
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_413),U_412))
| ~ hBOOL(hAPP_P2075002375t_bool(U_412,U_413)) )
& ( hBOOL(hAPP_P2075002375t_bool(U_412,U_413))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_413),U_412)) ) ),
inference(variable_rename,[status(thm)],[f_206_1]) ).
fof(f_206_3,plain,
( ! [U_417,U_415] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_417),U_415))
| ~ hBOOL(hAPP_P2075002375t_bool(U_415,U_417)) )
& ! [U_416,U_414] :
( hBOOL(hAPP_P2075002375t_bool(U_414,U_416))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_416),U_414)) ) ),
inference(miniscope,[status(thm)],[f_206_2]) ).
cnf(f_206_4,plain,
( hBOOL(hAPP_P2075002375t_bool(U_414,U_416))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_416),U_414)) ),
inference(clausify,[status(thm)],[f_206_3]) ).
cnf(f_206_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_417),U_415))
| ~ hBOOL(hAPP_P2075002375t_bool(U_415,U_417)) ),
inference(clausify,[status(thm)],[f_206_3]) ).
fof(f_207_1,plain,
! [X_2,A] :
( ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| ~ hBOOL(hAPP_f1636546729l_bool(A,X_2)) )
& ( hBOOL(hAPP_f1636546729l_bool(A,X_2))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A)) ) ),
inference(fof_nnf,[status(thm)],[fact_123_mem__def]) ).
fof(f_207_2,plain,
! [U_419,U_418] :
( ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_419),U_418))
| ~ hBOOL(hAPP_f1636546729l_bool(U_418,U_419)) )
& ( hBOOL(hAPP_f1636546729l_bool(U_418,U_419))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_419),U_418)) ) ),
inference(variable_rename,[status(thm)],[f_207_1]) ).
fof(f_207_3,plain,
( ! [U_423,U_421] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_423),U_421))
| ~ hBOOL(hAPP_f1636546729l_bool(U_421,U_423)) )
& ! [U_422,U_420] :
( hBOOL(hAPP_f1636546729l_bool(U_420,U_422))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_422),U_420)) ) ),
inference(miniscope,[status(thm)],[f_207_2]) ).
cnf(f_207_4,plain,
( hBOOL(hAPP_f1636546729l_bool(U_420,U_422))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_422),U_420)) ),
inference(clausify,[status(thm)],[f_207_3]) ).
cnf(f_207_5,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_423),U_421))
| ~ hBOOL(hAPP_f1636546729l_bool(U_421,U_423)) ),
inference(clausify,[status(thm)],[f_207_3]) ).
fof(f_208_1,plain,
! [X_2,A] :
( ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
| ~ hBOOL(hAPP_f785543729l_bool(A,X_2)) )
& ( hBOOL(hAPP_f785543729l_bool(A,X_2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A)) ) ),
inference(fof_nnf,[status(thm)],[fact_124_mem__def]) ).
fof(f_208_2,plain,
! [U_425,U_424] :
( ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_425),U_424))
| ~ hBOOL(hAPP_f785543729l_bool(U_424,U_425)) )
& ( hBOOL(hAPP_f785543729l_bool(U_424,U_425))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_425),U_424)) ) ),
inference(variable_rename,[status(thm)],[f_208_1]) ).
fof(f_208_3,plain,
( ! [U_429,U_427] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_429),U_427))
| ~ hBOOL(hAPP_f785543729l_bool(U_427,U_429)) )
& ! [U_428,U_426] :
( hBOOL(hAPP_f785543729l_bool(U_426,U_428))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_428),U_426)) ) ),
inference(miniscope,[status(thm)],[f_208_2]) ).
cnf(f_208_4,plain,
( hBOOL(hAPP_f785543729l_bool(U_426,U_428))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_428),U_426)) ),
inference(clausify,[status(thm)],[f_208_3]) ).
cnf(f_208_5,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_429),U_427))
| ~ hBOOL(hAPP_f785543729l_bool(U_427,U_429)) ),
inference(clausify,[status(thm)],[f_208_3]) ).
fof(f_209_1,plain,
! [X_2,A] :
( ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
| ~ hBOOL(hAPP_f745298353l_bool(A,X_2)) )
& ( hBOOL(hAPP_f745298353l_bool(A,X_2))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A)) ) ),
inference(fof_nnf,[status(thm)],[fact_125_mem__def]) ).
fof(f_209_2,plain,
! [U_431,U_430] :
( ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_431),U_430))
| ~ hBOOL(hAPP_f745298353l_bool(U_430,U_431)) )
& ( hBOOL(hAPP_f745298353l_bool(U_430,U_431))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_431),U_430)) ) ),
inference(variable_rename,[status(thm)],[f_209_1]) ).
fof(f_209_3,plain,
( ! [U_435,U_433] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_435),U_433))
| ~ hBOOL(hAPP_f745298353l_bool(U_433,U_435)) )
& ! [U_434,U_432] :
( hBOOL(hAPP_f745298353l_bool(U_432,U_434))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_434),U_432)) ) ),
inference(miniscope,[status(thm)],[f_209_2]) ).
cnf(f_209_4,plain,
( hBOOL(hAPP_f745298353l_bool(U_432,U_434))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_434),U_432)) ),
inference(clausify,[status(thm)],[f_209_3]) ).
cnf(f_209_5,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_435),U_433))
| ~ hBOOL(hAPP_f745298353l_bool(U_433,U_435)) ),
inference(clausify,[status(thm)],[f_209_3]) ).
fof(f_210_1,plain,
! [Pa] :
( collec45183100e_indi(Pa) = Pa
| ~ is_fun917378774i_bool(Pa) ),
inference(fof_nnf,[status(thm)],[fact_126_Collect__def]) ).
fof(f_210_2,plain,
! [U_436] :
( collec45183100e_indi(U_436) = U_436
| ~ is_fun917378774i_bool(U_436) ),
inference(variable_rename,[status(thm)],[f_210_1]) ).
cnf(f_210_3,plain,
( collec45183100e_indi(U_436) = U_436
| ~ is_fun917378774i_bool(U_436) ),
inference(clausify,[status(thm)],[f_210_2]) ).
fof(f_211_1,plain,
! [X_2,L] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,L),X_2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) ),
inference(fof_nnf,[status(thm)],[fact_127_mktop__Lin]) ).
fof(f_211_2,plain,
! [U_438,U_437] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_437),U_438)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_437),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[f_211_1]) ).
cnf(f_211_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,U_437),U_438)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_437),arrow_1239002508le_Lin)) ),
inference(clausify,[status(thm)],[f_211_2]) ).
fof(f_212_1,plain,
! [X_2,L] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,L),X_2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) ),
inference(fof_nnf,[status(thm)],[fact_128_mkbot__Lin]) ).
fof(f_212_2,plain,
! [U_440,U_439] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_439),U_440)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_439),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[f_212_1]) ).
cnf(f_212_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,U_439),U_440)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_439),arrow_1239002508le_Lin)) ),
inference(clausify,[status(thm)],[f_212_2]) ).
fof(f_213_1,plain,
! [L,X_2,Y_1] :
( 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))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
| X_2 = Y_1
| ~ is_Arr553848933le_alt(Y_1)
| ~ is_Arr553848933le_alt(X_2) ),
inference(fof_nnf,[status(thm)],[fact_129_above__Lin]) ).
fof(f_213_2,plain,
! [U_443,U_442,U_441] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_443),U_442),U_441)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_443),arrow_1239002508le_Lin))
| U_442 = U_441
| ~ is_Arr553848933le_alt(U_441)
| ~ is_Arr553848933le_alt(U_442) ),
inference(variable_rename,[status(thm)],[f_213_1]) ).
cnf(f_213_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_443),U_442),U_441)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_443),arrow_1239002508le_Lin))
| U_442 = U_441
| ~ is_Arr553848933le_alt(U_441)
| ~ is_Arr553848933le_alt(U_442) ),
inference(clausify,[status(thm)],[f_213_2]) ).
fof(f_214_1,plain,
! [L] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,L)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin)) ),
inference(fof_nnf,[status(thm)],[fact_130_const__Lin__Prof]) ).
fof(f_214_2,plain,
! [U_444] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,U_444)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_444),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[f_214_1]) ).
cnf(f_214_3,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,U_444)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_444),arrow_1239002508le_Lin)) ),
inference(clausify,[status(thm)],[f_214_2]) ).
fof(f_215_1,plain,
! [X_2,Y_1,L,Aa,Ba] :
( ( ( 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)))
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
& Y_1 != Ba )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Aa)),L))
& X_2 != Aa
& Y_1 = Ba ) )
& X_2 != Ba )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Y_1)),L))
& X_2 = Ba )
| X_2 = Y_1 )
& ( ( ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Y_1)),L))
| Y_1 = Ba )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X_2,Aa)),L))
| X_2 = Aa
| Y_1 != Ba ) )
| X_2 = Ba )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Y_1)),L))
| X_2 != Ba )
& X_2 != Y_1 )
| ~ 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))) ) )
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(L),arrow_1239002508le_Lin))
| Aa = Ba
| ~ is_Arr553848933le_alt(Ba)
| ~ is_Arr553848933le_alt(Aa)
| ~ is_Arr553848933le_alt(Y_1)
| ~ is_Arr553848933le_alt(X_2) ),
inference(fof_nnf,[status(thm)],[fact_131_in__above]) ).
fof(f_215_2,plain,
! [U_449,U_448,U_447,U_446,U_445] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
& U_448 != U_445 )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_446)),U_447))
& U_449 != U_446
& U_448 = U_445 ) )
& U_449 != U_445 )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
& U_449 = U_445 )
| U_449 = U_448 )
& ( ( ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
| U_448 = U_445 )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_446)),U_447))
| U_449 = U_446
| U_448 != U_445 ) )
| U_449 = U_445 )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 != U_445 )
& U_449 != U_448 )
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445))) ) )
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(variable_rename,[status(thm)],[f_215_1]) ).
cnf(f_215_3,plain,
( U_449 != U_448
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_4,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 != U_445
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_5,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_446)),U_447))
| U_449 = U_446
| U_448 != U_445
| U_449 = U_445
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_6,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
| U_448 = U_445
| U_449 = U_445
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_7,plain,
( U_449 != U_445
| U_449 = U_445
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_8,plain,
( U_448 != U_445
| U_448 = U_445
| U_449 = U_445
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_9,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
| U_448 = U_445
| U_449 = U_445
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_10,plain,
( U_449 != U_446
| U_448 != U_445
| U_449 = U_445
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_11,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_446)),U_447))
| U_448 != U_445
| U_449 = U_445
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_12,plain,
( U_449 != U_446
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
| U_449 = U_445
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_13,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_446)),U_447))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
| U_449 = U_445
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_14,plain,
( U_449 != U_445
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_15,plain,
( U_448 != U_445
| U_448 = U_445
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_16,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
| U_448 = U_445
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_17,plain,
( U_449 != U_446
| U_448 != U_445
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_18,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_446)),U_447))
| U_448 != U_445
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_19,plain,
( U_449 != U_446
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
cnf(f_215_20,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_446)),U_447))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),U_447))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_446,U_448)),U_447))
| U_449 = U_448
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_449,U_448)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,U_447),U_446),U_445)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_447),arrow_1239002508le_Lin))
| U_446 = U_445
| ~ is_Arr553848933le_alt(U_445)
| ~ is_Arr553848933le_alt(U_446)
| ~ is_Arr553848933le_alt(U_448)
| ~ is_Arr553848933le_alt(U_449) ),
inference(clausify,[status(thm)],[f_215_2]) ).
fof(f_216_1,plain,
! [I_1,Fa] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1))
| ? [X_1] :
( ? [A_1,B_1] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_f695124765t_bool(Fa,X_1)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(A_1,B_1)),hAPP_A1374816149t_bool(X_1,I_1)))
& A_1 != B_1
& is_Arr553848933le_alt(B_1)
& is_Arr553848933le_alt(A_1) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(Fa),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(fof_nnf,[status(thm)],[fact_132_dictatorI]) ).
fof(f_216_2,plain,
! [U_454,U_453] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ? [U_452] :
( ? [U_451,U_450] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_451,U_450)),hAPP_f695124765t_bool(U_453,U_452)))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_451,U_450)),hAPP_A1374816149t_bool(U_452,U_454)))
& U_451 != U_450
& is_Arr553848933le_alt(U_450)
& is_Arr553848933le_alt(U_451) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_452),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(variable_rename,[status(thm)],[f_216_1]) ).
fof(f_216_3,plain,
! [U_454,U_453] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ( ? [U_451,U_450] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_451,U_450)),hAPP_f695124765t_bool(U_453,sK25(U_454,U_453))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_451,U_450)),hAPP_A1374816149t_bool(sK25(U_454,U_453),U_454)))
& U_451 != U_450
& is_Arr553848933le_alt(U_450)
& is_Arr553848933le_alt(U_451) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK25(U_454,U_453)),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_452,sK25(U_454,U_453))],[f_216_2]) ).
fof(f_216_4,plain,
! [U_454,U_453] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ( ? [U_450] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK26(U_454,U_453),U_450)),hAPP_f695124765t_bool(U_453,sK25(U_454,U_453))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK26(U_454,U_453),U_450)),hAPP_A1374816149t_bool(sK25(U_454,U_453),U_454)))
& sK26(U_454,U_453) != U_450
& is_Arr553848933le_alt(U_450)
& is_Arr553848933le_alt(sK26(U_454,U_453)) )
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK25(U_454,U_453)),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_451,sK26(U_454,U_453))],[f_216_3]) ).
fof(f_216_5,plain,
! [U_454,U_453] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK26(U_454,U_453),sK27(U_454,U_453))),hAPP_f695124765t_bool(U_453,sK25(U_454,U_453))))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK26(U_454,U_453),sK27(U_454,U_453))),hAPP_A1374816149t_bool(sK25(U_454,U_453),U_454)))
& sK26(U_454,U_453) != sK27(U_454,U_453)
& is_Arr553848933le_alt(sK27(U_454,U_453))
& is_Arr553848933le_alt(sK26(U_454,U_453))
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK25(U_454,U_453)),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_450,sK27(U_454,U_453))],[f_216_4]) ).
cnf(f_216_6,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK25(U_454,U_453)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(clausify,[status(thm)],[f_216_5]) ).
cnf(f_216_7,plain,
( is_Arr553848933le_alt(sK26(U_454,U_453))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(clausify,[status(thm)],[f_216_5]) ).
cnf(f_216_8,plain,
( is_Arr553848933le_alt(sK27(U_454,U_453))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(clausify,[status(thm)],[f_216_5]) ).
cnf(f_216_9,plain,
( sK26(U_454,U_453) != sK27(U_454,U_453)
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(clausify,[status(thm)],[f_216_5]) ).
cnf(f_216_10,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK26(U_454,U_453),sK27(U_454,U_453))),hAPP_A1374816149t_bool(sK25(U_454,U_453),U_454)))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(clausify,[status(thm)],[f_216_5]) ).
cnf(f_216_11,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sK26(U_454,U_453),sK27(U_454,U_453))),hAPP_f695124765t_bool(U_453,sK25(U_454,U_453))))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_453),U_454))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_453),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(clausify,[status(thm)],[f_216_5]) ).
fof(f_217_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),hAPP_P2127852789l_bool(B,X_2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_133_PiE]) ).
fof(f_217_2,plain,
! [U_458,U_457,U_456,U_455] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_458),U_456))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(U_457,U_458)),hAPP_P2127852789l_bool(U_455,U_458)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_457),pi_Pro2135156861t_bool(U_456,U_455))) ),
inference(variable_rename,[status(thm)],[f_217_1]) ).
cnf(f_217_3,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_458),U_456))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(U_457,U_458)),hAPP_P2127852789l_bool(U_455,U_458)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_457),pi_Pro2135156861t_bool(U_456,U_455))) ),
inference(clausify,[status(thm)],[f_217_2]) ).
fof(f_218_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),hAPP_A1374816149t_bool(B,X_2)))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_134_PiE]) ).
fof(f_218_2,plain,
! [U_462,U_461,U_460,U_459] :
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_462),U_460))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(U_461,U_462)),hAPP_A1374816149t_bool(U_459,U_462)))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(U_461),pi_Arr149813489le_alt(U_460,U_459))) ),
inference(variable_rename,[status(thm)],[f_218_1]) ).
cnf(f_218_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_462),U_460))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(U_461,U_462)),hAPP_A1374816149t_bool(U_459,U_462)))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(U_461),pi_Arr149813489le_alt(U_460,U_459))) ),
inference(clausify,[status(thm)],[f_218_2]) ).
fof(f_219_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),hAPP_b1024867081t_bool(B,X_2)))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_135_PiE]) ).
fof(f_219_2,plain,
! [U_466,U_465,U_464,U_463] :
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_466),U_464))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(U_465,U_466)),hAPP_b1024867081t_bool(U_463,U_466)))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(U_465),pi_boo1877522301le_alt(U_464,U_463))) ),
inference(variable_rename,[status(thm)],[f_219_1]) ).
cnf(f_219_3,plain,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_466),U_464))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(U_465,U_466)),hAPP_b1024867081t_bool(U_463,U_466)))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(U_465),pi_boo1877522301le_alt(U_464,U_463))) ),
inference(clausify,[status(thm)],[f_219_2]) ).
fof(f_220_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),hAPP_A1912483895l_bool(B,X_2)))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_136_PiE]) ).
fof(f_220_2,plain,
! [U_470,U_469,U_468,U_467] :
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_470),U_468))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(U_469,U_470)),hAPP_A1912483895l_bool(U_467,U_470)))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(U_469),pi_Arr1511953043t_bool(U_468,U_467))) ),
inference(variable_rename,[status(thm)],[f_220_1]) ).
cnf(f_220_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_470),U_468))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(U_469,U_470)),hAPP_A1912483895l_bool(U_467,U_470)))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(U_469),pi_Arr1511953043t_bool(U_468,U_467))) ),
inference(clausify,[status(thm)],[f_220_2]) ).
fof(f_221_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),hAPP_b1719629739l_bool(B,X_2)))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_137_PiE]) ).
fof(f_221_2,plain,
! [U_474,U_473,U_472,U_471] :
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_474),U_472))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(U_473,U_474)),hAPP_b1719629739l_bool(U_471,U_474)))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(U_473),pi_boo691944735t_bool(U_472,U_471))) ),
inference(variable_rename,[status(thm)],[f_221_1]) ).
cnf(f_221_3,plain,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_474),U_472))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(U_473,U_474)),hAPP_b1719629739l_bool(U_471,U_474)))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(U_473),pi_boo691944735t_bool(U_472,U_471))) ),
inference(clausify,[status(thm)],[f_221_2]) ).
fof(f_222_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),hAPP_A1964572607l_bool(B,X_2)))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_138_PiE]) ).
fof(f_222_2,plain,
! [U_478,U_477,U_476,U_475] :
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_478),U_476))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(U_477,U_478)),hAPP_A1964572607l_bool(U_475,U_478)))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(U_477),pi_Arr372473371t_bool(U_476,U_475))) ),
inference(variable_rename,[status(thm)],[f_222_1]) ).
cnf(f_222_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_478),U_476))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(U_477,U_478)),hAPP_A1964572607l_bool(U_475,U_478)))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(U_477),pi_Arr372473371t_bool(U_476,U_475))) ),
inference(clausify,[status(thm)],[f_222_2]) ).
fof(f_223_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),hAPP_b990649139l_bool(B,X_2)))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_139_PiE]) ).
fof(f_223_2,plain,
! [U_482,U_481,U_480,U_479] :
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_482),U_480))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(U_481,U_482)),hAPP_b990649139l_bool(U_479,U_482)))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(U_481),pi_boo71521447t_bool(U_480,U_479))) ),
inference(variable_rename,[status(thm)],[f_223_1]) ).
cnf(f_223_3,plain,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_482),U_480))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(U_481,U_482)),hAPP_b990649139l_bool(U_479,U_482)))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(U_481),pi_boo71521447t_bool(U_480,U_479))) ),
inference(clausify,[status(thm)],[f_223_2]) ).
fof(f_224_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),hAPP_b1965422783l_bool(B,X_2)))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_140_PiE]) ).
fof(f_224_2,plain,
! [U_486,U_485,U_484,U_483] :
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_486),U_484))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(U_485,U_486)),hAPP_b1965422783l_bool(U_483,U_486)))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(U_485),pi_boo2007389459t_bool(U_484,U_483))) ),
inference(variable_rename,[status(thm)],[f_224_1]) ).
cnf(f_224_3,plain,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_486),U_484))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(U_485,U_486)),hAPP_b1965422783l_bool(U_483,U_486)))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(U_485),pi_boo2007389459t_bool(U_484,U_483))) ),
inference(clausify,[status(thm)],[f_224_2]) ).
fof(f_225_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),hAPP_P907763049i_bool(B,X_2)))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_141_PiE]) ).
fof(f_225_2,plain,
! [U_490,U_489,U_488,U_487] :
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_490),U_488))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(U_489,U_490)),hAPP_P907763049i_bool(U_487,U_490)))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(U_489),pi_Pro437273841e_indi(U_488,U_487))) ),
inference(variable_rename,[status(thm)],[f_225_1]) ).
cnf(f_225_3,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_490),U_488))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(U_489,U_490)),hAPP_P907763049i_bool(U_487,U_490)))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(U_489),pi_Pro437273841e_indi(U_488,U_487))) ),
inference(clausify,[status(thm)],[f_225_2]) ).
fof(f_226_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),hAPP_f749892423i_bool(B,X_2)))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_142_PiE]) ).
fof(f_226_2,plain,
! [U_494,U_493,U_492,U_491] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_494),U_492))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(U_493,U_494)),hAPP_f749892423i_bool(U_491,U_494)))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(U_493),pi_fun1736243859e_indi(U_492,U_491))) ),
inference(variable_rename,[status(thm)],[f_226_1]) ).
cnf(f_226_3,plain,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_494),U_492))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(U_493,U_494)),hAPP_f749892423i_bool(U_491,U_494)))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(U_493),pi_fun1736243859e_indi(U_492,U_491))) ),
inference(clausify,[status(thm)],[f_226_2]) ).
fof(f_227_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),hAPP_f313042899l_bool(B,X_2)))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_143_PiE]) ).
fof(f_227_2,plain,
! [U_498,U_497,U_496,U_495] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_498),U_496))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(U_497,U_498)),hAPP_f313042899l_bool(U_495,U_498)))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(U_497),pi_fun1494794527l_bool(U_496,U_495))) ),
inference(variable_rename,[status(thm)],[f_227_1]) ).
cnf(f_227_3,plain,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_498),U_496))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(U_497,U_498)),hAPP_f313042899l_bool(U_495,U_498)))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(U_497),pi_fun1494794527l_bool(U_496,U_495))) ),
inference(clausify,[status(thm)],[f_227_2]) ).
fof(f_228_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),hAPP_f355113919i_bool(B,X_2)))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_144_PiE]) ).
fof(f_228_2,plain,
! [U_502,U_501,U_500,U_499] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_502),U_500))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(U_501,U_502)),hAPP_f355113919i_bool(U_499,U_502)))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(U_501),pi_fun2075749915e_indi(U_500,U_499))) ),
inference(variable_rename,[status(thm)],[f_228_1]) ).
cnf(f_228_3,plain,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_502),U_500))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(U_501,U_502)),hAPP_f355113919i_bool(U_499,U_502)))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(U_501),pi_fun2075749915e_indi(U_500,U_499))) ),
inference(clausify,[status(thm)],[f_228_2]) ).
fof(f_229_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),hAPP_f497468491l_bool(B,X_2)))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_145_PiE]) ).
fof(f_229_2,plain,
! [U_506,U_505,U_504,U_503] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_506),U_504))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(U_505,U_506)),hAPP_f497468491l_bool(U_503,U_506)))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(U_505),pi_fun525942951l_bool(U_504,U_503))) ),
inference(variable_rename,[status(thm)],[f_229_1]) ).
cnf(f_229_3,plain,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_506),U_504))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(U_505,U_506)),hAPP_f497468491l_bool(U_503,U_506)))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(U_505),pi_fun525942951l_bool(U_504,U_503))) ),
inference(clausify,[status(thm)],[f_229_2]) ).
fof(f_230_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),hAPP_f352490559i_bool(B,X_2)))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_146_PiE]) ).
fof(f_230_2,plain,
! [U_510,U_509,U_508,U_507] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_510),U_508))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(U_509,U_510)),hAPP_f352490559i_bool(U_507,U_510)))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(U_509),pi_fun972956463e_indi(U_508,U_507))) ),
inference(variable_rename,[status(thm)],[f_230_1]) ).
cnf(f_230_3,plain,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_510),U_508))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(U_509,U_510)),hAPP_f352490559i_bool(U_507,U_510)))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(U_509),pi_fun972956463e_indi(U_508,U_507))) ),
inference(clausify,[status(thm)],[f_230_2]) ).
fof(f_231_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),hAPP_f417299659l_bool(B,X_2)))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_147_PiE]) ).
fof(f_231_2,plain,
! [U_514,U_513,U_512,U_511] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_514),U_512))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(U_513,U_514)),hAPP_f417299659l_bool(U_511,U_514)))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(U_513),pi_fun1727820731l_bool(U_512,U_511))) ),
inference(variable_rename,[status(thm)],[f_231_1]) ).
cnf(f_231_3,plain,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_514),U_512))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(U_513,U_514)),hAPP_f417299659l_bool(U_511,U_514)))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(U_513),pi_fun1727820731l_bool(U_512,U_511))) ),
inference(clausify,[status(thm)],[f_231_2]) ).
fof(f_232_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),hAPP_f861484971l_bool(B,X_2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_148_PiE]) ).
fof(f_232_2,plain,
! [U_518,U_517,U_516,U_515] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_518),U_516))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(U_517,U_518)),hAPP_f861484971l_bool(U_515,U_518)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_517),pi_fun433100839t_bool(U_516,U_515))) ),
inference(variable_rename,[status(thm)],[f_232_1]) ).
cnf(f_232_3,plain,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_518),U_516))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(U_517,U_518)),hAPP_f861484971l_bool(U_515,U_518)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_517),pi_fun433100839t_bool(U_516,U_515))) ),
inference(clausify,[status(thm)],[f_232_2]) ).
fof(f_233_1,plain,
! [X_2,F,A,B] :
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),hAPP_A1944296755l_bool(B,X_2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_149_PiE]) ).
fof(f_233_2,plain,
! [U_522,U_521,U_520,U_519] :
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_522),U_520))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(U_521,U_522)),hAPP_A1944296755l_bool(U_519,U_522)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_521),pi_Arr688267935t_bool(U_520,U_519))) ),
inference(variable_rename,[status(thm)],[f_233_1]) ).
cnf(f_233_3,plain,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_522),U_520))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(U_521,U_522)),hAPP_A1944296755l_bool(U_519,U_522)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_521),pi_Arr688267935t_bool(U_520,U_519))) ),
inference(clausify,[status(thm)],[f_233_2]) ).
fof(f_234_1,plain,
! [Aa,Ba] :
( ? [X_1] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(Aa,Ba)),X_1))
& hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_1),arrow_1239002508le_Lin))
& is_fun282293932t_bool(X_1) )
| Aa = Ba
| ~ is_Arr553848933le_alt(Ba)
| ~ is_Arr553848933le_alt(Aa) ),
inference(fof_nnf,[status(thm)],[fact_150_complete__Lin]) ).
fof(f_234_2,plain,
! [U_525,U_524] :
( ? [U_523] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_525,U_524)),U_523))
& hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_523),arrow_1239002508le_Lin))
& is_fun282293932t_bool(U_523) )
| U_525 = U_524
| ~ is_Arr553848933le_alt(U_524)
| ~ is_Arr553848933le_alt(U_525) ),
inference(variable_rename,[status(thm)],[f_234_1]) ).
fof(f_234_3,plain,
! [U_525,U_524] :
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_525,U_524)),sK28(U_525,U_524)))
& hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(sK28(U_525,U_524)),arrow_1239002508le_Lin))
& is_fun282293932t_bool(sK28(U_525,U_524)) )
| U_525 = U_524
| ~ is_Arr553848933le_alt(U_524)
| ~ is_Arr553848933le_alt(U_525) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_523,sK28(U_525,U_524))],[f_234_2]) ).
cnf(f_234_4,plain,
( is_fun282293932t_bool(sK28(U_525,U_524))
| U_525 = U_524
| ~ is_Arr553848933le_alt(U_524)
| ~ is_Arr553848933le_alt(U_525) ),
inference(clausify,[status(thm)],[f_234_3]) ).
cnf(f_234_5,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(sK28(U_525,U_524)),arrow_1239002508le_Lin))
| U_525 = U_524
| ~ is_Arr553848933le_alt(U_524)
| ~ is_Arr553848933le_alt(U_525) ),
inference(clausify,[status(thm)],[f_234_3]) ).
cnf(f_234_6,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(U_525,U_524)),sK28(U_525,U_524)))
| U_525 = U_524
| ~ is_Arr553848933le_alt(U_524)
| ~ is_Arr553848933le_alt(U_525) ),
inference(clausify,[status(thm)],[f_234_3]) ).
fof(f_235_1,plain,
! [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)),
inference(fof_nnf,[status(thm)],[fact_151_PiProf]) ).
fof(f_235_2,plain,
! [U_526] : 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),U_526)),lab),lba)),arrow_413697182e_Prof)),
inference(variable_rename,[status(thm)],[f_235_1]) ).
cnf(f_235_3,plain,
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),U_526)),lab),lba)),arrow_413697182e_Prof)),
inference(clausify,[status(thm)],[f_235_2]) ).
fof(f_236_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),hAPP_P2127852789l_bool(B,X_2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_152_Pi__mem]) ).
fof(f_236_2,plain,
! [U_530,U_529,U_528,U_527] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(U_529,U_530)),hAPP_P2127852789l_bool(U_527,U_530)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_530),U_528))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_529),pi_Pro2135156861t_bool(U_528,U_527))) ),
inference(variable_rename,[status(thm)],[f_236_1]) ).
cnf(f_236_3,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(U_529,U_530)),hAPP_P2127852789l_bool(U_527,U_530)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_530),U_528))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_529),pi_Pro2135156861t_bool(U_528,U_527))) ),
inference(clausify,[status(thm)],[f_236_2]) ).
fof(f_237_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),hAPP_P907763049i_bool(B,X_2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_153_Pi__mem]) ).
fof(f_237_2,plain,
! [U_534,U_533,U_532,U_531] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(U_533,U_534)),hAPP_P907763049i_bool(U_531,U_534)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_534),U_532))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(U_533),pi_Pro437273841e_indi(U_532,U_531))) ),
inference(variable_rename,[status(thm)],[f_237_1]) ).
cnf(f_237_3,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(U_533,U_534)),hAPP_P907763049i_bool(U_531,U_534)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_534),U_532))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(U_533),pi_Pro437273841e_indi(U_532,U_531))) ),
inference(clausify,[status(thm)],[f_237_2]) ).
fof(f_238_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),hAPP_f749892423i_bool(B,X_2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_154_Pi__mem]) ).
fof(f_238_2,plain,
! [U_538,U_537,U_536,U_535] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(U_537,U_538)),hAPP_f749892423i_bool(U_535,U_538)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_538),U_536))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(U_537),pi_fun1736243859e_indi(U_536,U_535))) ),
inference(variable_rename,[status(thm)],[f_238_1]) ).
cnf(f_238_3,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(U_537,U_538)),hAPP_f749892423i_bool(U_535,U_538)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_538),U_536))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(U_537),pi_fun1736243859e_indi(U_536,U_535))) ),
inference(clausify,[status(thm)],[f_238_2]) ).
fof(f_239_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),hAPP_f313042899l_bool(B,X_2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_155_Pi__mem]) ).
fof(f_239_2,plain,
! [U_542,U_541,U_540,U_539] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(U_541,U_542)),hAPP_f313042899l_bool(U_539,U_542)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_542),U_540))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(U_541),pi_fun1494794527l_bool(U_540,U_539))) ),
inference(variable_rename,[status(thm)],[f_239_1]) ).
cnf(f_239_3,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(U_541,U_542)),hAPP_f313042899l_bool(U_539,U_542)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_542),U_540))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(U_541),pi_fun1494794527l_bool(U_540,U_539))) ),
inference(clausify,[status(thm)],[f_239_2]) ).
fof(f_240_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),hAPP_f355113919i_bool(B,X_2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_156_Pi__mem]) ).
fof(f_240_2,plain,
! [U_546,U_545,U_544,U_543] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(U_545,U_546)),hAPP_f355113919i_bool(U_543,U_546)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_546),U_544))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(U_545),pi_fun2075749915e_indi(U_544,U_543))) ),
inference(variable_rename,[status(thm)],[f_240_1]) ).
cnf(f_240_3,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(U_545,U_546)),hAPP_f355113919i_bool(U_543,U_546)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_546),U_544))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(U_545),pi_fun2075749915e_indi(U_544,U_543))) ),
inference(clausify,[status(thm)],[f_240_2]) ).
fof(f_241_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),hAPP_f497468491l_bool(B,X_2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_157_Pi__mem]) ).
fof(f_241_2,plain,
! [U_550,U_549,U_548,U_547] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(U_549,U_550)),hAPP_f497468491l_bool(U_547,U_550)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_550),U_548))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(U_549),pi_fun525942951l_bool(U_548,U_547))) ),
inference(variable_rename,[status(thm)],[f_241_1]) ).
cnf(f_241_3,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(U_549,U_550)),hAPP_f497468491l_bool(U_547,U_550)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_550),U_548))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(U_549),pi_fun525942951l_bool(U_548,U_547))) ),
inference(clausify,[status(thm)],[f_241_2]) ).
fof(f_242_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),hAPP_f352490559i_bool(B,X_2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_158_Pi__mem]) ).
fof(f_242_2,plain,
! [U_554,U_553,U_552,U_551] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(U_553,U_554)),hAPP_f352490559i_bool(U_551,U_554)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_554),U_552))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(U_553),pi_fun972956463e_indi(U_552,U_551))) ),
inference(variable_rename,[status(thm)],[f_242_1]) ).
cnf(f_242_3,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(U_553,U_554)),hAPP_f352490559i_bool(U_551,U_554)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_554),U_552))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(U_553),pi_fun972956463e_indi(U_552,U_551))) ),
inference(clausify,[status(thm)],[f_242_2]) ).
fof(f_243_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),hAPP_f417299659l_bool(B,X_2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_159_Pi__mem]) ).
fof(f_243_2,plain,
! [U_558,U_557,U_556,U_555] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(U_557,U_558)),hAPP_f417299659l_bool(U_555,U_558)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_558),U_556))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(U_557),pi_fun1727820731l_bool(U_556,U_555))) ),
inference(variable_rename,[status(thm)],[f_243_1]) ).
cnf(f_243_3,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(U_557,U_558)),hAPP_f417299659l_bool(U_555,U_558)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_558),U_556))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(U_557),pi_fun1727820731l_bool(U_556,U_555))) ),
inference(clausify,[status(thm)],[f_243_2]) ).
fof(f_244_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),hAPP_A1374816149t_bool(B,X_2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_160_Pi__mem]) ).
fof(f_244_2,plain,
! [U_562,U_561,U_560,U_559] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(U_561,U_562)),hAPP_A1374816149t_bool(U_559,U_562)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_562),U_560))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(U_561),pi_Arr149813489le_alt(U_560,U_559))) ),
inference(variable_rename,[status(thm)],[f_244_1]) ).
cnf(f_244_3,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(U_561,U_562)),hAPP_A1374816149t_bool(U_559,U_562)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_562),U_560))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(U_561),pi_Arr149813489le_alt(U_560,U_559))) ),
inference(clausify,[status(thm)],[f_244_2]) ).
fof(f_245_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),hAPP_b1024867081t_bool(B,X_2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_161_Pi__mem]) ).
fof(f_245_2,plain,
! [U_566,U_565,U_564,U_563] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(U_565,U_566)),hAPP_b1024867081t_bool(U_563,U_566)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_566),U_564))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(U_565),pi_boo1877522301le_alt(U_564,U_563))) ),
inference(variable_rename,[status(thm)],[f_245_1]) ).
cnf(f_245_3,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(U_565,U_566)),hAPP_b1024867081t_bool(U_563,U_566)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_566),U_564))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(U_565),pi_boo1877522301le_alt(U_564,U_563))) ),
inference(clausify,[status(thm)],[f_245_2]) ).
fof(f_246_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),hAPP_A1912483895l_bool(B,X_2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_162_Pi__mem]) ).
fof(f_246_2,plain,
! [U_570,U_569,U_568,U_567] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(U_569,U_570)),hAPP_A1912483895l_bool(U_567,U_570)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_570),U_568))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(U_569),pi_Arr1511953043t_bool(U_568,U_567))) ),
inference(variable_rename,[status(thm)],[f_246_1]) ).
cnf(f_246_3,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(U_569,U_570)),hAPP_A1912483895l_bool(U_567,U_570)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_570),U_568))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(U_569),pi_Arr1511953043t_bool(U_568,U_567))) ),
inference(clausify,[status(thm)],[f_246_2]) ).
fof(f_247_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),hAPP_b1719629739l_bool(B,X_2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_163_Pi__mem]) ).
fof(f_247_2,plain,
! [U_574,U_573,U_572,U_571] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(U_573,U_574)),hAPP_b1719629739l_bool(U_571,U_574)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_574),U_572))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(U_573),pi_boo691944735t_bool(U_572,U_571))) ),
inference(variable_rename,[status(thm)],[f_247_1]) ).
cnf(f_247_3,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(U_573,U_574)),hAPP_b1719629739l_bool(U_571,U_574)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_574),U_572))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(U_573),pi_boo691944735t_bool(U_572,U_571))) ),
inference(clausify,[status(thm)],[f_247_2]) ).
fof(f_248_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),hAPP_A1964572607l_bool(B,X_2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_164_Pi__mem]) ).
fof(f_248_2,plain,
! [U_578,U_577,U_576,U_575] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(U_577,U_578)),hAPP_A1964572607l_bool(U_575,U_578)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_578),U_576))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(U_577),pi_Arr372473371t_bool(U_576,U_575))) ),
inference(variable_rename,[status(thm)],[f_248_1]) ).
cnf(f_248_3,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(U_577,U_578)),hAPP_A1964572607l_bool(U_575,U_578)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_578),U_576))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(U_577),pi_Arr372473371t_bool(U_576,U_575))) ),
inference(clausify,[status(thm)],[f_248_2]) ).
fof(f_249_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),hAPP_b990649139l_bool(B,X_2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_165_Pi__mem]) ).
fof(f_249_2,plain,
! [U_582,U_581,U_580,U_579] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(U_581,U_582)),hAPP_b990649139l_bool(U_579,U_582)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_582),U_580))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(U_581),pi_boo71521447t_bool(U_580,U_579))) ),
inference(variable_rename,[status(thm)],[f_249_1]) ).
cnf(f_249_3,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(U_581,U_582)),hAPP_b990649139l_bool(U_579,U_582)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_582),U_580))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(U_581),pi_boo71521447t_bool(U_580,U_579))) ),
inference(clausify,[status(thm)],[f_249_2]) ).
fof(f_250_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),hAPP_b1965422783l_bool(B,X_2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_166_Pi__mem]) ).
fof(f_250_2,plain,
! [U_586,U_585,U_584,U_583] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(U_585,U_586)),hAPP_b1965422783l_bool(U_583,U_586)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_586),U_584))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(U_585),pi_boo2007389459t_bool(U_584,U_583))) ),
inference(variable_rename,[status(thm)],[f_250_1]) ).
cnf(f_250_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(U_585,U_586)),hAPP_b1965422783l_bool(U_583,U_586)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_586),U_584))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(U_585),pi_boo2007389459t_bool(U_584,U_583))) ),
inference(clausify,[status(thm)],[f_250_2]) ).
fof(f_251_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),hAPP_f861484971l_bool(B,X_2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_167_Pi__mem]) ).
fof(f_251_2,plain,
! [U_590,U_589,U_588,U_587] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(U_589,U_590)),hAPP_f861484971l_bool(U_587,U_590)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_590),U_588))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_589),pi_fun433100839t_bool(U_588,U_587))) ),
inference(variable_rename,[status(thm)],[f_251_1]) ).
cnf(f_251_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(U_589,U_590)),hAPP_f861484971l_bool(U_587,U_590)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_590),U_588))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_589),pi_fun433100839t_bool(U_588,U_587))) ),
inference(clausify,[status(thm)],[f_251_2]) ).
fof(f_252_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),hAPP_A1944296755l_bool(B,X_2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,B))) ),
inference(fof_nnf,[status(thm)],[fact_168_Pi__mem]) ).
fof(f_252_2,plain,
! [U_594,U_593,U_592,U_591] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(U_593,U_594)),hAPP_A1944296755l_bool(U_591,U_594)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_594),U_592))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_593),pi_Arr688267935t_bool(U_592,U_591))) ),
inference(variable_rename,[status(thm)],[f_252_1]) ).
cnf(f_252_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(U_593,U_594)),hAPP_A1944296755l_bool(U_591,U_594)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_594),U_592))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_593),pi_Arr688267935t_bool(U_592,U_591))) ),
inference(clausify,[status(thm)],[f_252_2]) ).
fof(f_253_1,plain,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
inference(fof_nnf,[status(thm)],[fact_169_Prof__def]) ).
cnf(f_253_2,plain,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
inference(clausify,[status(thm)],[f_253_1]) ).
fof(f_254_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(F),pi_Pro2135156861t_bool(A,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,B)))) ),
inference(fof_nnf,[status(thm)],[fact_170_funcset__mem]) ).
fof(f_254_2,plain,
! [U_598,U_597,U_596,U_595] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(U_597,U_598)),U_595))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_598),U_596))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_597),pi_Pro2135156861t_bool(U_596,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,U_595)))) ),
inference(variable_rename,[status(thm)],[f_254_1]) ).
cnf(f_254_3,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(U_597,U_598)),U_595))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_598),U_596))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_597),pi_Pro2135156861t_bool(U_596,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,U_595)))) ),
inference(clausify,[status(thm)],[f_254_2]) ).
fof(f_255_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(F,X_2)),B))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X_2),A))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(F),pi_Pro437273841e_indi(A,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,B)))) ),
inference(fof_nnf,[status(thm)],[fact_171_funcset__mem]) ).
fof(f_255_2,plain,
! [U_602,U_601,U_600,U_599] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(U_601,U_602)),U_599))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_602),U_600))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(U_601),pi_Pro437273841e_indi(U_600,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,U_599)))) ),
inference(variable_rename,[status(thm)],[f_255_1]) ).
cnf(f_255_3,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(U_601,U_602)),U_599))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(U_602),U_600))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(U_601),pi_Pro437273841e_indi(U_600,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,U_599)))) ),
inference(clausify,[status(thm)],[f_255_2]) ).
fof(f_256_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(F,X_2)),B))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(F),pi_fun1736243859e_indi(A,hAPP_f681113465i_bool(cOMBK_454107598t_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_172_funcset__mem]) ).
fof(f_256_2,plain,
! [U_606,U_605,U_604,U_603] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(U_605,U_606)),U_603))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_606),U_604))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(U_605),pi_fun1736243859e_indi(U_604,hAPP_f681113465i_bool(cOMBK_454107598t_bool,U_603)))) ),
inference(variable_rename,[status(thm)],[f_256_1]) ).
cnf(f_256_3,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(U_605,U_606)),U_603))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_606),U_604))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(U_605),pi_fun1736243859e_indi(U_604,hAPP_f681113465i_bool(cOMBK_454107598t_bool,U_603)))) ),
inference(clausify,[status(thm)],[f_256_2]) ).
fof(f_257_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(F),pi_fun1494794527l_bool(A,hAPP_f219827985l_bool(cOMBK_886533338t_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_173_funcset__mem]) ).
fof(f_257_2,plain,
! [U_610,U_609,U_608,U_607] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(U_609,U_610)),U_607))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_610),U_608))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(U_609),pi_fun1494794527l_bool(U_608,hAPP_f219827985l_bool(cOMBK_886533338t_bool,U_607)))) ),
inference(variable_rename,[status(thm)],[f_257_1]) ).
cnf(f_257_3,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(U_609,U_610)),U_607))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_610),U_608))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(U_609),pi_fun1494794527l_bool(U_608,hAPP_f219827985l_bool(cOMBK_886533338t_bool,U_607)))) ),
inference(clausify,[status(thm)],[f_257_2]) ).
fof(f_258_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(F,X_2)),B))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(F),pi_fun2075749915e_indi(A,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_174_funcset__mem]) ).
fof(f_258_2,plain,
! [U_614,U_613,U_612,U_611] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(U_613,U_614)),U_611))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_614),U_612))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(U_613),pi_fun2075749915e_indi(U_612,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,U_611)))) ),
inference(variable_rename,[status(thm)],[f_258_1]) ).
cnf(f_258_3,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(U_613,U_614)),U_611))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_614),U_612))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(U_613),pi_fun2075749915e_indi(U_612,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,U_611)))) ),
inference(clausify,[status(thm)],[f_258_2]) ).
fof(f_259_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X_2),A))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(F),pi_fun525942951l_bool(A,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_175_funcset__mem]) ).
fof(f_259_2,plain,
! [U_618,U_617,U_616,U_615] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(U_617,U_618)),U_615))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_618),U_616))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(U_617),pi_fun525942951l_bool(U_616,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,U_615)))) ),
inference(variable_rename,[status(thm)],[f_259_1]) ).
cnf(f_259_3,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(U_617,U_618)),U_615))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_618),U_616))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(U_617),pi_fun525942951l_bool(U_616,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,U_615)))) ),
inference(clausify,[status(thm)],[f_259_2]) ).
fof(f_260_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(F,X_2)),B))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(F),pi_fun972956463e_indi(A,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_176_funcset__mem]) ).
fof(f_260_2,plain,
! [U_622,U_621,U_620,U_619] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(U_621,U_622)),U_619))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_622),U_620))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(U_621),pi_fun972956463e_indi(U_620,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,U_619)))) ),
inference(variable_rename,[status(thm)],[f_260_1]) ).
cnf(f_260_3,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(U_621,U_622)),U_619))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_622),U_620))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(U_621),pi_fun972956463e_indi(U_620,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,U_619)))) ),
inference(clausify,[status(thm)],[f_260_2]) ).
fof(f_261_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X_2),A))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(F),pi_fun1727820731l_bool(A,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_177_funcset__mem]) ).
fof(f_261_2,plain,
! [U_626,U_625,U_624,U_623] :
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(U_625,U_626)),U_623))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_626),U_624))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(U_625),pi_fun1727820731l_bool(U_624,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,U_623)))) ),
inference(variable_rename,[status(thm)],[f_261_1]) ).
cnf(f_261_3,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(U_625,U_626)),U_623))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(U_626),U_624))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(U_625),pi_fun1727820731l_bool(U_624,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,U_623)))) ),
inference(clausify,[status(thm)],[f_261_2]) ).
fof(f_262_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(F,X_2)),B))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(F),pi_Arr149813489le_alt(A,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,B)))) ),
inference(fof_nnf,[status(thm)],[fact_178_funcset__mem]) ).
fof(f_262_2,plain,
! [U_630,U_629,U_628,U_627] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(U_629,U_630)),U_627))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_630),U_628))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(U_629),pi_Arr149813489le_alt(U_628,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,U_627)))) ),
inference(variable_rename,[status(thm)],[f_262_1]) ).
cnf(f_262_3,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(U_629,U_630)),U_627))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_630),U_628))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(U_629),pi_Arr149813489le_alt(U_628,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,U_627)))) ),
inference(clausify,[status(thm)],[f_262_2]) ).
fof(f_263_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(F,X_2)),B))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(F),pi_boo1877522301le_alt(A,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_179_funcset__mem]) ).
fof(f_263_2,plain,
! [U_634,U_633,U_632,U_631] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(U_633,U_634)),U_631))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_634),U_632))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(U_633),pi_boo1877522301le_alt(U_632,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,U_631)))) ),
inference(variable_rename,[status(thm)],[f_263_1]) ).
cnf(f_263_3,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(U_633,U_634)),U_631))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_634),U_632))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(U_633),pi_boo1877522301le_alt(U_632,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,U_631)))) ),
inference(clausify,[status(thm)],[f_263_2]) ).
fof(f_264_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(F),pi_Arr1511953043t_bool(A,hAPP_f813556705l_bool(cOMBK_116240846e_indi,B)))) ),
inference(fof_nnf,[status(thm)],[fact_180_funcset__mem]) ).
fof(f_264_2,plain,
! [U_638,U_637,U_636,U_635] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(U_637,U_638)),U_635))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_638),U_636))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(U_637),pi_Arr1511953043t_bool(U_636,hAPP_f813556705l_bool(cOMBK_116240846e_indi,U_635)))) ),
inference(variable_rename,[status(thm)],[f_264_1]) ).
cnf(f_264_3,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(U_637,U_638)),U_635))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_638),U_636))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(U_637),pi_Arr1511953043t_bool(U_636,hAPP_f813556705l_bool(cOMBK_116240846e_indi,U_635)))) ),
inference(clausify,[status(thm)],[f_264_2]) ).
fof(f_265_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(F),pi_boo691944735t_bool(A,hAPP_f371807573l_bool(cOMBK_697604314l_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_181_funcset__mem]) ).
fof(f_265_2,plain,
! [U_642,U_641,U_640,U_639] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(U_641,U_642)),U_639))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_642),U_640))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(U_641),pi_boo691944735t_bool(U_640,hAPP_f371807573l_bool(cOMBK_697604314l_bool,U_639)))) ),
inference(variable_rename,[status(thm)],[f_265_1]) ).
cnf(f_265_3,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(U_641,U_642)),U_639))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_642),U_640))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(U_641),pi_boo691944735t_bool(U_640,hAPP_f371807573l_bool(cOMBK_697604314l_bool,U_639)))) ),
inference(clausify,[status(thm)],[f_265_2]) ).
fof(f_266_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(F),pi_Arr372473371t_bool(A,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,B)))) ),
inference(fof_nnf,[status(thm)],[fact_182_funcset__mem]) ).
fof(f_266_2,plain,
! [U_646,U_645,U_644,U_643] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(U_645,U_646)),U_643))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_646),U_644))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(U_645),pi_Arr372473371t_bool(U_644,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,U_643)))) ),
inference(variable_rename,[status(thm)],[f_266_1]) ).
cnf(f_266_3,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(U_645,U_646)),U_643))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_646),U_644))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(U_645),pi_Arr372473371t_bool(U_644,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,U_643)))) ),
inference(clausify,[status(thm)],[f_266_2]) ).
fof(f_267_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(F),pi_boo71521447t_bool(A,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_183_funcset__mem]) ).
fof(f_267_2,plain,
! [U_650,U_649,U_648,U_647] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(U_649,U_650)),U_647))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_650),U_648))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(U_649),pi_boo71521447t_bool(U_648,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,U_647)))) ),
inference(variable_rename,[status(thm)],[f_267_1]) ).
cnf(f_267_3,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(U_649,U_650)),U_647))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_650),U_648))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(U_649),pi_boo71521447t_bool(U_648,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,U_647)))) ),
inference(clausify,[status(thm)],[f_267_2]) ).
fof(f_268_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X_2),A))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(F),pi_boo2007389459t_bool(A,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_184_funcset__mem]) ).
fof(f_268_2,plain,
! [U_654,U_653,U_652,U_651] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(U_653,U_654)),U_651))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_654),U_652))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(U_653),pi_boo2007389459t_bool(U_652,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,U_651)))) ),
inference(variable_rename,[status(thm)],[f_268_1]) ).
cnf(f_268_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(U_653,U_654)),U_651))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(U_654),U_652))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(U_653),pi_boo2007389459t_bool(U_652,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,U_651)))) ),
inference(clausify,[status(thm)],[f_268_2]) ).
fof(f_269_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_2),A))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(F),pi_fun433100839t_bool(A,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,B)))) ),
inference(fof_nnf,[status(thm)],[fact_185_funcset__mem]) ).
fof(f_269_2,plain,
! [U_658,U_657,U_656,U_655] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(U_657,U_658)),U_655))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_658),U_656))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_657),pi_fun433100839t_bool(U_656,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,U_655)))) ),
inference(variable_rename,[status(thm)],[f_269_1]) ).
cnf(f_269_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(U_657,U_658)),U_655))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_658),U_656))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(U_657),pi_fun433100839t_bool(U_656,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,U_655)))) ),
inference(clausify,[status(thm)],[f_269_2]) ).
fof(f_270_1,plain,
! [X_2,F,A,B] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(F,X_2)),B))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X_2),A))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(F),pi_Arr688267935t_bool(A,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,B)))) ),
inference(fof_nnf,[status(thm)],[fact_186_funcset__mem]) ).
fof(f_270_2,plain,
! [U_662,U_661,U_660,U_659] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(U_661,U_662)),U_659))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_662),U_660))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_661),pi_Arr688267935t_bool(U_660,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,U_659)))) ),
inference(variable_rename,[status(thm)],[f_270_1]) ).
cnf(f_270_3,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(U_661,U_662)),U_659))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(U_662),U_660))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_661),pi_Arr688267935t_bool(U_660,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,U_659)))) ),
inference(clausify,[status(thm)],[f_270_2]) ).
fof(f_271_1,plain,
! [Fa,I_1] :
( ( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1))
| ? [X_1] :
( hAPP_f695124765t_bool(Fa,X_1) != hAPP_A1374816149t_bool(X_1,I_1)
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) ) )
& ( ! [X_1] :
( hAPP_f695124765t_bool(Fa,X_1) = hAPP_A1374816149t_bool(X_1,I_1)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X_1),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,Fa),I_1)) ) ),
inference(fof_nnf,[status(thm)],[fact_187_dictator__def]) ).
fof(f_271_2,plain,
! [U_666,U_665] :
( ( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_666),U_665))
| ? [U_664] :
( hAPP_f695124765t_bool(U_666,U_664) != hAPP_A1374816149t_bool(U_664,U_665)
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_664),arrow_413697182e_Prof)) ) )
& ( ! [U_663] :
( hAPP_f695124765t_bool(U_666,U_663) = hAPP_A1374816149t_bool(U_663,U_665)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_663),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_666),U_665)) ) ),
inference(variable_rename,[status(thm)],[f_271_1]) ).
fof(f_271_3,plain,
( ! [U_670,U_668] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_670),U_668))
| ? [U_664] :
( hAPP_f695124765t_bool(U_670,U_664) != hAPP_A1374816149t_bool(U_664,U_668)
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_664),arrow_413697182e_Prof)) ) )
& ! [U_669,U_667] :
( ! [U_663] :
( hAPP_f695124765t_bool(U_669,U_663) = hAPP_A1374816149t_bool(U_663,U_667)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_663),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_669),U_667)) ) ),
inference(miniscope,[status(thm)],[f_271_2]) ).
fof(f_271_4,plain,
( ! [U_670,U_668] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_670),U_668))
| ( hAPP_f695124765t_bool(U_670,sK29(U_670,U_668)) != hAPP_A1374816149t_bool(sK29(U_670,U_668),U_668)
& hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK29(U_670,U_668)),arrow_413697182e_Prof)) ) )
& ! [U_669,U_667] :
( ! [U_663] :
( hAPP_f695124765t_bool(U_669,U_663) = hAPP_A1374816149t_bool(U_663,U_667)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_663),arrow_413697182e_Prof)) )
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_669),U_667)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_664,sK29(U_670,U_668))],[f_271_3]) ).
cnf(f_271_5,plain,
( hAPP_f695124765t_bool(U_669,U_663) = hAPP_A1374816149t_bool(U_663,U_667)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(U_663),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_669),U_667)) ),
inference(clausify,[status(thm)],[f_271_4]) ).
cnf(f_271_6,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sK29(U_670,U_668)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_670),U_668)) ),
inference(clausify,[status(thm)],[f_271_4]) ).
cnf(f_271_7,plain,
( hAPP_f695124765t_bool(U_670,sK29(U_670,U_668)) != hAPP_A1374816149t_bool(sK29(U_670,U_668),U_668)
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,U_670),U_668)) ),
inference(clausify,[status(thm)],[f_271_4]) ).
fof(f_272_1,plain,
! [A] : pi_Pro2135156861t_bool(A,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
inference(fof_nnf,[status(thm)],[fact_188_Pi__UNIV]) ).
fof(f_272_2,plain,
! [U_671] : pi_Pro2135156861t_bool(U_671,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
inference(variable_rename,[status(thm)],[f_272_1]) ).
cnf(f_272_3,plain,
pi_Pro2135156861t_bool(U_671,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
inference(clausify,[status(thm)],[f_272_2]) ).
fof(f_273_1,plain,
! [A] : pi_fun433100839t_bool(A,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
inference(fof_nnf,[status(thm)],[fact_189_Pi__UNIV]) ).
fof(f_273_2,plain,
! [U_672] : pi_fun433100839t_bool(U_672,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
inference(variable_rename,[status(thm)],[f_273_1]) ).
cnf(f_273_3,plain,
pi_fun433100839t_bool(U_672,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
inference(clausify,[status(thm)],[f_273_2]) ).
fof(f_274_1,plain,
! [A] : pi_Arr688267935t_bool(A,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
inference(fof_nnf,[status(thm)],[fact_190_Pi__UNIV]) ).
fof(f_274_2,plain,
! [U_673] : pi_Arr688267935t_bool(U_673,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
inference(variable_rename,[status(thm)],[f_274_1]) ).
cnf(f_274_3,plain,
pi_Arr688267935t_bool(U_673,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
inference(clausify,[status(thm)],[f_274_2]) ).
fof(f_275_1,plain,
( ( 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))))))
| ~ 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)))) )
& ( 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))))
| ~ 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)))))) ) ),
inference(fof_nnf,[status(thm)],[fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am]) ).
cnf(f_275_2,plain,
( 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))))
| ~ 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)))))) ),
inference(clausify,[status(thm)],[f_275_1]) ).
cnf(f_275_3,plain,
( 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))))))
| ~ 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)))) ),
inference(clausify,[status(thm)],[f_275_1]) ).
fof(f_276_1,plain,
! [I] :
( ( ( ( ( ( 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)))
| hAPP_A588601142di_nat(h,I) = n )
& ( 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)))
| hAPP_A588601142di_nat(h,I) != n ) )
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) )
& ( 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)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) ) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) ) )
& ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) ) )
| ( ( ( ~ 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)))
& hAPP_A588601142di_nat(h,I) != n )
| ( ~ 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)))
& hAPP_A588601142di_nat(h,I) = n ) )
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) )
| ( ~ 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)))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,I)),n)) ) ) ),
inference(fof_nnf,[status(thm)],[fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am]) ).
fof(f_276_2,plain,
! [U_674] :
( ( ( ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_674)),e)))
| hAPP_A588601142di_nat(h,U_674) = n )
& ( 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,U_674)),c),e)))
| hAPP_A588601142di_nat(h,U_674) != n ) )
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_674)),n)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_674)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_674)),n)) ) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_674)),n)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_674)),n)) ) )
& ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_674)),n)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_674)),n)) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_674)),e)))
& hAPP_A588601142di_nat(h,U_674) != n )
| ( ~ 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,U_674)),c),e)))
& hAPP_A588601142di_nat(h,U_674) = n ) )
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_674)),n)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_674)),e)))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_674)),n)) ) ) ),
inference(variable_rename,[status(thm)],[f_276_1]) ).
fof(f_276_3,plain,
( ! [U_676] :
( ( ( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_676)),e)))
| hAPP_A588601142di_nat(h,U_676) = n )
& ( 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,U_676)),c),e)))
| hAPP_A588601142di_nat(h,U_676) != n ) )
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_676)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ) )
& ! [U_675] :
( ( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ) )
| ( ( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
& hAPP_A588601142di_nat(h,U_675) != n )
| ( ~ 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,U_675)),c),e)))
& hAPP_A588601142di_nat(h,U_675) = n ) )
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) )
| ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ) ) ),
inference(miniscope,[status(thm)],[f_276_2]) ).
cnf(f_276_4,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_5,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| hAPP_A588601142di_nat(h,U_675) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_6,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| hAPP_A588601142di_nat(h,U_675) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_7,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| ~ 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,U_675)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_8,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| ~ 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,U_675)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_9,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_10,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| hAPP_A588601142di_nat(h,U_675) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_11,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| hAPP_A588601142di_nat(h,U_675) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_12,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| ~ 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,U_675)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_13,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| ~ 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,U_675)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_14,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_15,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| hAPP_A588601142di_nat(h,U_675) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_16,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| hAPP_A588601142di_nat(h,U_675) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_17,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| ~ 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,U_675)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_18,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| ~ 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,U_675)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_19,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_20,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| hAPP_A588601142di_nat(h,U_675) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_21,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| hAPP_A588601142di_nat(h,U_675) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_22,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| ~ 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,U_675)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_23,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| ~ 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,U_675)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_24,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_676)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_25,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_676)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_26,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_676)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_27,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_676)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_28,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| 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,U_676)),c),e)))
| hAPP_A588601142di_nat(h,U_676) != n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_29,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| 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,U_676)),c),e)))
| hAPP_A588601142di_nat(h,U_676) != n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_30,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_676)),e)))
| hAPP_A588601142di_nat(h,U_676) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_31,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_676)),e)))
| hAPP_A588601142di_nat(h,U_676) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_32,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| 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,U_676)),c),e)))
| hAPP_A588601142di_nat(h,U_676) != n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_33,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| 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,U_676)),c),e)))
| hAPP_A588601142di_nat(h,U_676) != n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_34,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_676)),e)))
| hAPP_A588601142di_nat(h,U_676) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
cnf(f_276_35,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_676)),e)))
| hAPP_A588601142di_nat(h,U_676) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n)) ),
inference(clausify,[status(thm)],[f_276_3]) ).
fof(f_277_1,plain,
a != b,
inference(fof_nnf,[status(thm)],[fact_193__096a_A_126_061_Ab_096]) ).
cnf(f_277_2,plain,
a != b,
inference(clausify,[status(thm)],[f_277_1]) ).
fof(f_278_1,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
inference(fof_nnf,[status(thm)],[fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096]) ).
cnf(f_278_2,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
inference(clausify,[status(thm)],[f_278_1]) ).
fof(f_279_1,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
inference(fof_nnf,[status(thm)],[fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096]) ).
cnf(f_279_2,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
inference(clausify,[status(thm)],[f_279_1]) ).
fof(f_280_1,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
inference(fof_nnf,[status(thm)],[fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096]) ).
cnf(f_280_2,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
inference(clausify,[status(thm)],[f_280_1]) ).
fof(f_281_1,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
inference(fof_nnf,[status(thm)],[fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096]) ).
cnf(f_281_2,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
inference(clausify,[status(thm)],[f_281_1]) ).
fof(f_282_1,plain,
hBOOL(fTrue),
inference(fof_nnf,[status(thm)],[help_fTrue_1_1_U]) ).
cnf(f_282_2,plain,
hBOOL(fTrue),
inference(clausify,[status(thm)],[f_282_1]) ).
fof(f_283_1,plain,
! [P] :
( P = fFalse
| P = fTrue
| ~ is_bool(P) ),
inference(fof_nnf,[status(thm)],[help_fTrue_1_1_T]) ).
fof(f_283_2,plain,
! [U_677] :
( U_677 = fFalse
| U_677 = fTrue
| ~ is_bool(U_677) ),
inference(variable_rename,[status(thm)],[f_283_1]) ).
cnf(f_283_3,plain,
( U_677 = fFalse
| U_677 = fTrue
| ~ is_bool(U_677) ),
inference(clausify,[status(thm)],[f_283_2]) ).
fof(f_284_1,plain,
! [X,Y] :
( X = Y
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y)) ),
inference(fof_nnf,[status(thm)],[help_fequal_1_1_fequal_000tc__Nat__Onat_T]) ).
fof(f_284_2,plain,
! [U_679,U_678] :
( U_679 = U_678
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,U_679),U_678)) ),
inference(variable_rename,[status(thm)],[f_284_1]) ).
cnf(f_284_3,plain,
( U_679 = U_678
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,U_679),U_678)) ),
inference(clausify,[status(thm)],[f_284_2]) ).
fof(f_285_1,plain,
! [X,Y] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X),Y))
| X != Y ),
inference(fof_nnf,[status(thm)],[help_fequal_2_1_fequal_000tc__Nat__Onat_T]) ).
fof(f_285_2,plain,
! [U_681,U_680] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,U_681),U_680))
| U_681 != U_680 ),
inference(variable_rename,[status(thm)],[f_285_1]) ).
cnf(f_285_3,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,U_681),U_680))
| U_681 != U_680 ),
inference(clausify,[status(thm)],[f_285_2]) ).
fof(f_286_1,plain,
! [P,Q] :
( hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,P),Q) = P
| ~ is_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje]) ).
fof(f_286_2,plain,
! [U_683,U_682] :
( hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,U_683),U_682) = U_683
| ~ is_bool(U_683) ),
inference(variable_rename,[status(thm)],[f_286_1]) ).
fof(f_286_3,plain,
! [U_683] :
( ! [U_682] : hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,U_683),U_682) = U_683
| ~ is_bool(U_683) ),
inference(miniscope,[status(thm)],[f_286_2]) ).
cnf(f_286_4,plain,
( hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,U_683),U_682) = U_683
| ~ is_bool(U_683) ),
inference(clausify,[status(thm)],[f_286_3]) ).
fof(f_287_1,plain,
! [P,Q,R] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(P,Q),R) = hAPP_nat_bool(hAPP_A1922697556t_bool(P,R),Q),
inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000]) ).
fof(f_287_2,plain,
! [U_686,U_685,U_684] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(U_686,U_685),U_684) = hAPP_nat_bool(hAPP_A1922697556t_bool(U_686,U_684),U_685),
inference(variable_rename,[status(thm)],[f_287_1]) ).
cnf(f_287_3,plain,
hAPP_A1466488369i_bool(cOMBC_277798809t_bool(U_686,U_685),U_684) = hAPP_nat_bool(hAPP_A1922697556t_bool(U_686,U_684),U_685),
inference(clausify,[status(thm)],[f_287_2]) ).
fof(f_288_1,plain,
! [P,Q,R] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(P,Q),R) = hAPP_n1699378549t_bool(P,hAPP_A588601142di_nat(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_]) ).
fof(f_288_2,plain,
! [U_689,U_688,U_687] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(U_689,U_688),U_687) = hAPP_n1699378549t_bool(U_689,hAPP_A588601142di_nat(U_688,U_687)),
inference(variable_rename,[status(thm)],[f_288_1]) ).
cnf(f_288_3,plain,
hAPP_A1922697556t_bool(cOMBB_317992461e_indi(U_689,U_688),U_687) = hAPP_n1699378549t_bool(U_689,hAPP_A588601142di_nat(U_688,U_687)),
inference(clausify,[status(thm)],[f_288_2]) ).
fof(f_289_1,plain,
! [P,Q] :
( hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,P),Q) = P
| ~ is_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe]) ).
fof(f_289_2,plain,
! [U_691,U_690] :
( hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,U_691),U_690) = U_691
| ~ is_bool(U_691) ),
inference(variable_rename,[status(thm)],[f_289_1]) ).
fof(f_289_3,plain,
! [U_691] :
( ! [U_690] : hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,U_691),U_690) = U_691
| ~ is_bool(U_691) ),
inference(miniscope,[status(thm)],[f_289_2]) ).
cnf(f_289_4,plain,
( hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,U_691),U_690) = U_691
| ~ is_bool(U_691) ),
inference(clausify,[status(thm)],[f_289_3]) ).
fof(f_290_1,plain,
! [X,Y] :
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X),Y) = X
| ~ is_fun282293932t_bool(X) ),
inference(fof_nnf,[status(thm)],[help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn]) ).
fof(f_290_2,plain,
! [U_693,U_692] :
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),U_693),U_692) = U_693
| ~ is_fun282293932t_bool(U_693) ),
inference(variable_rename,[status(thm)],[f_290_1]) ).
fof(f_290_3,plain,
! [U_693] :
( ! [U_692] : hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),U_693),U_692) = U_693
| ~ is_fun282293932t_bool(U_693) ),
inference(miniscope,[status(thm)],[f_290_2]) ).
cnf(f_290_4,plain,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),U_693),U_692) = U_693
| ~ is_fun282293932t_bool(U_693) ),
inference(clausify,[status(thm)],[f_290_3]) ).
fof(f_291_1,plain,
! [X,Y] :
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X),Y) = Y
| ~ is_fun282293932t_bool(Y) ),
inference(fof_nnf,[status(thm)],[help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn]) ).
fof(f_291_2,plain,
! [U_695,U_694] :
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),U_695),U_694) = U_694
| ~ is_fun282293932t_bool(U_694) ),
inference(variable_rename,[status(thm)],[f_291_1]) ).
cnf(f_291_3,plain,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),U_695),U_694) = U_694
| ~ is_fun282293932t_bool(U_694) ),
inference(clausify,[status(thm)],[f_291_2]) ).
fof(f_292_1,plain,
! [P] :
( P = fFalse
| P = fTrue
| ~ is_bool(P) ),
inference(fof_nnf,[status(thm)],[help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn]) ).
fof(f_292_2,plain,
! [U_696] :
( U_696 = fFalse
| U_696 = fTrue
| ~ is_bool(U_696) ),
inference(variable_rename,[status(thm)],[f_292_1]) ).
cnf(f_292_3,plain,
( U_696 = fFalse
| U_696 = fTrue
| ~ is_bool(U_696) ),
inference(clausify,[status(thm)],[f_292_2]) ).
fof(f_293_1,plain,
! [P,Q] :
( hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,P),Q) = P
| ~ is_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_]) ).
fof(f_293_2,plain,
! [U_698,U_697] :
( hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,U_698),U_697) = U_698
| ~ is_bool(U_698) ),
inference(variable_rename,[status(thm)],[f_293_1]) ).
fof(f_293_3,plain,
! [U_698] :
( ! [U_697] : hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,U_698),U_697) = U_698
| ~ is_bool(U_698) ),
inference(miniscope,[status(thm)],[f_293_2]) ).
cnf(f_293_4,plain,
( hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,U_698),U_697) = U_698
| ~ is_bool(U_698) ),
inference(clausify,[status(thm)],[f_293_3]) ).
fof(f_294_1,plain,
! [P,Q] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,P),Q) = P,
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It]) ).
fof(f_294_2,plain,
! [U_700,U_699] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,U_700),U_699) = U_700,
inference(variable_rename,[status(thm)],[f_294_1]) ).
cnf(f_294_3,plain,
hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,U_700),U_699) = U_700,
inference(clausify,[status(thm)],[f_294_2]) ).
fof(f_295_1,plain,
! [P,Q] :
( hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,P),Q) = P
| ~ is_fun282293932t_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj]) ).
fof(f_295_2,plain,
! [U_702,U_701] :
( hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,U_702),U_701) = U_702
| ~ is_fun282293932t_bool(U_702) ),
inference(variable_rename,[status(thm)],[f_295_1]) ).
fof(f_295_3,plain,
! [U_702] :
( ! [U_701] : hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,U_702),U_701) = U_702
| ~ is_fun282293932t_bool(U_702) ),
inference(miniscope,[status(thm)],[f_295_2]) ).
cnf(f_295_4,plain,
( hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,U_702),U_701) = U_702
| ~ is_fun282293932t_bool(U_702) ),
inference(clausify,[status(thm)],[f_295_3]) ).
fof(f_296_1,plain,
! [P,Q] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,P),Q) = P,
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc]) ).
fof(f_296_2,plain,
! [U_704,U_703] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,U_704),U_703) = U_704,
inference(variable_rename,[status(thm)],[f_296_1]) ).
cnf(f_296_3,plain,
hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,U_704),U_703) = U_704,
inference(clausify,[status(thm)],[f_296_2]) ).
fof(f_297_1,plain,
! [P,Q] :
( hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,P),Q) = P
| ~ is_fun432044380l_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe]) ).
fof(f_297_2,plain,
! [U_706,U_705] :
( hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,U_706),U_705) = U_706
| ~ is_fun432044380l_bool(U_706) ),
inference(variable_rename,[status(thm)],[f_297_1]) ).
fof(f_297_3,plain,
! [U_706] :
( ! [U_705] : hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,U_706),U_705) = U_706
| ~ is_fun432044380l_bool(U_706) ),
inference(miniscope,[status(thm)],[f_297_2]) ).
cnf(f_297_4,plain,
( hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,U_706),U_705) = U_706
| ~ is_fun432044380l_bool(U_706) ),
inference(clausify,[status(thm)],[f_297_3]) ).
fof(f_298_1,plain,
! [P,Q] :
( hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,P),Q) = P
| ~ is_fun917378774i_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__]) ).
fof(f_298_2,plain,
! [U_708,U_707] :
( hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,U_708),U_707) = U_708
| ~ is_fun917378774i_bool(U_708) ),
inference(variable_rename,[status(thm)],[f_298_1]) ).
fof(f_298_3,plain,
! [U_708] :
( ! [U_707] : hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,U_708),U_707) = U_708
| ~ is_fun917378774i_bool(U_708) ),
inference(miniscope,[status(thm)],[f_298_2]) ).
cnf(f_298_4,plain,
( hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,U_708),U_707) = U_708
| ~ is_fun917378774i_bool(U_708) ),
inference(clausify,[status(thm)],[f_298_3]) ).
fof(f_299_1,plain,
! [P,Q] :
( hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,P),Q) = P
| ~ is_fun282293932t_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026]) ).
fof(f_299_2,plain,
! [U_710,U_709] :
( hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,U_710),U_709) = U_710
| ~ is_fun282293932t_bool(U_710) ),
inference(variable_rename,[status(thm)],[f_299_1]) ).
fof(f_299_3,plain,
! [U_710] :
( ! [U_709] : hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,U_710),U_709) = U_710
| ~ is_fun282293932t_bool(U_710) ),
inference(miniscope,[status(thm)],[f_299_2]) ).
cnf(f_299_4,plain,
( hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,U_710),U_709) = U_710
| ~ is_fun282293932t_bool(U_710) ),
inference(clausify,[status(thm)],[f_299_3]) ).
fof(f_300_1,plain,
! [P,Q] :
( hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,P),Q) = P
| ~ is_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel]) ).
fof(f_300_2,plain,
! [U_712,U_711] :
( hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,U_712),U_711) = U_712
| ~ is_bool(U_712) ),
inference(variable_rename,[status(thm)],[f_300_1]) ).
fof(f_300_3,plain,
! [U_712] :
( ! [U_711] : hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,U_712),U_711) = U_712
| ~ is_bool(U_712) ),
inference(miniscope,[status(thm)],[f_300_2]) ).
cnf(f_300_4,plain,
( hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,U_712),U_711) = U_712
| ~ is_bool(U_712) ),
inference(clausify,[status(thm)],[f_300_3]) ).
fof(f_301_1,plain,
! [P,Q] :
( hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,P),Q) = P
| ~ is_fun917378774i_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027]) ).
fof(f_301_2,plain,
! [U_714,U_713] :
( hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,U_714),U_713) = U_714
| ~ is_fun917378774i_bool(U_714) ),
inference(variable_rename,[status(thm)],[f_301_1]) ).
fof(f_301_3,plain,
! [U_714] :
( ! [U_713] : hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,U_714),U_713) = U_714
| ~ is_fun917378774i_bool(U_714) ),
inference(miniscope,[status(thm)],[f_301_2]) ).
cnf(f_301_4,plain,
( hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,U_714),U_713) = U_714
| ~ is_fun917378774i_bool(U_714) ),
inference(clausify,[status(thm)],[f_301_3]) ).
fof(f_302_1,plain,
! [P,Q] :
( hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,P),Q) = P
| ~ is_fun432044380l_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028]) ).
fof(f_302_2,plain,
! [U_716,U_715] :
( hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,U_716),U_715) = U_716
| ~ is_fun432044380l_bool(U_716) ),
inference(variable_rename,[status(thm)],[f_302_1]) ).
fof(f_302_3,plain,
! [U_716] :
( ! [U_715] : hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,U_716),U_715) = U_716
| ~ is_fun432044380l_bool(U_716) ),
inference(miniscope,[status(thm)],[f_302_2]) ).
cnf(f_302_4,plain,
( hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,U_716),U_715) = U_716
| ~ is_fun432044380l_bool(U_716) ),
inference(clausify,[status(thm)],[f_302_3]) ).
fof(f_303_1,plain,
! [P,Q] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,P),Q) = P,
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029]) ).
fof(f_303_2,plain,
! [U_718,U_717] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,U_718),U_717) = U_718,
inference(variable_rename,[status(thm)],[f_303_1]) ).
cnf(f_303_3,plain,
hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,U_718),U_717) = U_718,
inference(clausify,[status(thm)],[f_303_2]) ).
fof(f_304_1,plain,
! [P,Q] :
( hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,P),Q) = P
| ~ is_fun959573582l_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje]) ).
fof(f_304_2,plain,
! [U_720,U_719] :
( hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,U_720),U_719) = U_720
| ~ is_fun959573582l_bool(U_720) ),
inference(variable_rename,[status(thm)],[f_304_1]) ).
fof(f_304_3,plain,
! [U_720] :
( ! [U_719] : hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,U_720),U_719) = U_720
| ~ is_fun959573582l_bool(U_720) ),
inference(miniscope,[status(thm)],[f_304_2]) ).
cnf(f_304_4,plain,
( hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,U_720),U_719) = U_720
| ~ is_fun959573582l_bool(U_720) ),
inference(clausify,[status(thm)],[f_304_3]) ).
fof(f_305_1,plain,
! [P,Q,R] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(P,Q),R) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(P,R),Q),
inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030]) ).
fof(f_305_2,plain,
! [U_723,U_722,U_721] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(U_723,U_722),U_721) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(U_723,U_721),U_722),
inference(variable_rename,[status(thm)],[f_305_1]) ).
cnf(f_305_3,plain,
hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(U_723,U_722),U_721) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(U_723,U_721),U_722),
inference(clausify,[status(thm)],[f_305_2]) ).
fof(f_306_1,plain,
! [P,Q] :
( hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,P),Q) = P
| ~ is_fun917378774i_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031]) ).
fof(f_306_2,plain,
! [U_725,U_724] :
( hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,U_725),U_724) = U_725
| ~ is_fun917378774i_bool(U_725) ),
inference(variable_rename,[status(thm)],[f_306_1]) ).
fof(f_306_3,plain,
! [U_725] :
( ! [U_724] : hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,U_725),U_724) = U_725
| ~ is_fun917378774i_bool(U_725) ),
inference(miniscope,[status(thm)],[f_306_2]) ).
cnf(f_306_4,plain,
( hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,U_725),U_724) = U_725
| ~ is_fun917378774i_bool(U_725) ),
inference(clausify,[status(thm)],[f_306_3]) ).
fof(f_307_1,plain,
! [P,Q] :
( hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,P),Q) = P
| ~ is_fun959573582l_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032]) ).
fof(f_307_2,plain,
! [U_727,U_726] :
( hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,U_727),U_726) = U_727
| ~ is_fun959573582l_bool(U_727) ),
inference(variable_rename,[status(thm)],[f_307_1]) ).
fof(f_307_3,plain,
! [U_727] :
( ! [U_726] : hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,U_727),U_726) = U_727
| ~ is_fun959573582l_bool(U_727) ),
inference(miniscope,[status(thm)],[f_307_2]) ).
cnf(f_307_4,plain,
( hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,U_727),U_726) = U_727
| ~ is_fun959573582l_bool(U_727) ),
inference(clausify,[status(thm)],[f_307_3]) ).
fof(f_308_1,plain,
! [P,Q,R] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(P,Q),R) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(P,R),Q),
inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033]) ).
fof(f_308_2,plain,
! [U_730,U_729,U_728] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(U_730,U_729),U_728) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(U_730,U_728),U_729),
inference(variable_rename,[status(thm)],[f_308_1]) ).
cnf(f_308_3,plain,
hAPP_A702630576t_bool(cOMBC_493523632t_bool(U_730,U_729),U_728) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(U_730,U_728),U_729),
inference(clausify,[status(thm)],[f_308_2]) ).
fof(f_309_1,plain,
! [P,Q,R] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(P,Q),R) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(P,R),Q),
inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034]) ).
fof(f_309_2,plain,
! [U_733,U_732,U_731] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(U_733,U_732),U_731) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(U_733,U_731),U_732),
inference(variable_rename,[status(thm)],[f_309_1]) ).
cnf(f_309_3,plain,
hAPP_A1374816149t_bool(cOMBC_437064334t_bool(U_733,U_732),U_731) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(U_733,U_731),U_732),
inference(clausify,[status(thm)],[f_309_2]) ).
fof(f_310_1,plain,
! [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)),
inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000]) ).
fof(f_310_2,plain,
! [U_736,U_735,U_734] : hAPP_A1374816149t_bool(cOMBS_867867294t_bool(U_736,U_735),U_734) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(U_736,U_734),hAPP_A1374816149t_bool(U_735,U_734)),
inference(variable_rename,[status(thm)],[f_310_1]) ).
cnf(f_310_3,plain,
hAPP_A1374816149t_bool(cOMBS_867867294t_bool(U_736,U_735),U_734) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(U_736,U_734),hAPP_A1374816149t_bool(U_735,U_734)),
inference(clausify,[status(thm)],[f_310_2]) ).
fof(f_311_1,plain,
! [P,Q] :
( hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,P),Q) = P
| ~ is_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__]) ).
fof(f_311_2,plain,
! [U_738,U_737] :
( hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,U_738),U_737) = U_738
| ~ is_bool(U_738) ),
inference(variable_rename,[status(thm)],[f_311_1]) ).
fof(f_311_3,plain,
! [U_738] :
( ! [U_737] : hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,U_738),U_737) = U_738
| ~ is_bool(U_738) ),
inference(miniscope,[status(thm)],[f_311_2]) ).
cnf(f_311_4,plain,
( hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,U_738),U_737) = U_738
| ~ is_bool(U_738) ),
inference(clausify,[status(thm)],[f_311_3]) ).
fof(f_312_1,plain,
! [P,Q] :
( hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,P),Q) = P
| ~ is_fun432044380l_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035]) ).
fof(f_312_2,plain,
! [U_740,U_739] :
( hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,U_740),U_739) = U_740
| ~ is_fun432044380l_bool(U_740) ),
inference(variable_rename,[status(thm)],[f_312_1]) ).
fof(f_312_3,plain,
! [U_740] :
( ! [U_739] : hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,U_740),U_739) = U_740
| ~ is_fun432044380l_bool(U_740) ),
inference(miniscope,[status(thm)],[f_312_2]) ).
cnf(f_312_4,plain,
( hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,U_740),U_739) = U_740
| ~ is_fun432044380l_bool(U_740) ),
inference(clausify,[status(thm)],[f_312_3]) ).
fof(f_313_1,plain,
! [P,Q] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,P),Q) = P,
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036]) ).
fof(f_313_2,plain,
! [U_742,U_741] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,U_742),U_741) = U_742,
inference(variable_rename,[status(thm)],[f_313_1]) ).
cnf(f_313_3,plain,
hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,U_742),U_741) = U_742,
inference(clausify,[status(thm)],[f_313_2]) ).
fof(f_314_1,plain,
! [P,Q] :
( hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,P),Q) = P
| ~ is_fun631676118l_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel]) ).
fof(f_314_2,plain,
! [U_744,U_743] :
( hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,U_744),U_743) = U_744
| ~ is_fun631676118l_bool(U_744) ),
inference(variable_rename,[status(thm)],[f_314_1]) ).
fof(f_314_3,plain,
! [U_744] :
( ! [U_743] : hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,U_744),U_743) = U_744
| ~ is_fun631676118l_bool(U_744) ),
inference(miniscope,[status(thm)],[f_314_2]) ).
cnf(f_314_4,plain,
( hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,U_744),U_743) = U_744
| ~ is_fun631676118l_bool(U_744) ),
inference(clausify,[status(thm)],[f_314_3]) ).
fof(f_315_1,plain,
! [P,Q,R] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(P,Q),R) = hAPP_f1290184496t_bool(P,hAPP_A1374816149t_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj]) ).
fof(f_315_2,plain,
! [U_747,U_746,U_745] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(U_747,U_746),U_745) = hAPP_f1290184496t_bool(U_747,hAPP_A1374816149t_bool(U_746,U_745)),
inference(variable_rename,[status(thm)],[f_315_1]) ).
cnf(f_315_3,plain,
hAPP_A702630576t_bool(cOMBB_1292070696e_indi(U_747,U_746),U_745) = hAPP_f1290184496t_bool(U_747,hAPP_A1374816149t_bool(U_746,U_745)),
inference(clausify,[status(thm)],[f_315_2]) ).
fof(f_316_1,plain,
! [P,Q] :
( hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,P),Q) = P
| ~ is_fun917378774i_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037]) ).
fof(f_316_2,plain,
! [U_749,U_748] :
( hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,U_749),U_748) = U_749
| ~ is_fun917378774i_bool(U_749) ),
inference(variable_rename,[status(thm)],[f_316_1]) ).
fof(f_316_3,plain,
! [U_749] :
( ! [U_748] : hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,U_749),U_748) = U_749
| ~ is_fun917378774i_bool(U_749) ),
inference(miniscope,[status(thm)],[f_316_2]) ).
cnf(f_316_4,plain,
( hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,U_749),U_748) = U_749
| ~ is_fun917378774i_bool(U_749) ),
inference(clausify,[status(thm)],[f_316_3]) ).
fof(f_317_1,plain,
! [P,Q] :
( hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,P),Q) = P
| ~ is_fun631676118l_bool(P) ),
inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038]) ).
fof(f_317_2,plain,
! [U_751,U_750] :
( hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,U_751),U_750) = U_751
| ~ is_fun631676118l_bool(U_751) ),
inference(variable_rename,[status(thm)],[f_317_1]) ).
fof(f_317_3,plain,
! [U_751] :
( ! [U_750] : hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,U_751),U_750) = U_751
| ~ is_fun631676118l_bool(U_751) ),
inference(miniscope,[status(thm)],[f_317_2]) ).
cnf(f_317_4,plain,
( hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,U_751),U_750) = U_751
| ~ is_fun631676118l_bool(U_751) ),
inference(clausify,[status(thm)],[f_317_3]) ).
fof(f_318_1,plain,
! [P,Q,R] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(P,Q),R) = hAPP_f1336478923t_bool(P,hAPP_A1374816149t_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039]) ).
fof(f_318_2,plain,
! [U_754,U_753,U_752] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(U_754,U_753),U_752) = hAPP_f1336478923t_bool(U_754,hAPP_A1374816149t_bool(U_753,U_752)),
inference(variable_rename,[status(thm)],[f_318_1]) ).
cnf(f_318_3,plain,
hAPP_A460042315t_bool(cOMBB_69933763e_indi(U_754,U_753),U_752) = hAPP_f1336478923t_bool(U_754,hAPP_A1374816149t_bool(U_753,U_752)),
inference(clausify,[status(thm)],[f_318_2]) ).
fof(f_319_1,plain,
! [P,Q,R] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(P,Q),R) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(P,R),Q),
inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040]) ).
fof(f_319_2,plain,
! [U_757,U_756,U_755] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(U_757,U_756),U_755) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(U_757,U_755),U_756),
inference(variable_rename,[status(thm)],[f_319_1]) ).
cnf(f_319_3,plain,
hAPP_A1333445289t_bool(cOMBC_481590946t_bool(U_757,U_756),U_755) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(U_757,U_755),U_756),
inference(clausify,[status(thm)],[f_319_2]) ).
fof(f_320_1,plain,
! [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)),
inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041]) ).
fof(f_320_2,plain,
! [U_760,U_759,U_758] : hAPP_A1333445289t_bool(cOMBS_102864562t_bool(U_760,U_759),U_758) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(U_760,U_758),hAPP_A1374816149t_bool(U_759,U_758)),
inference(variable_rename,[status(thm)],[f_320_1]) ).
cnf(f_320_3,plain,
hAPP_A1333445289t_bool(cOMBS_102864562t_bool(U_760,U_759),U_758) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(U_760,U_758),hAPP_A1374816149t_bool(U_759,U_758)),
inference(clausify,[status(thm)],[f_320_2]) ).
fof(f_321_1,plain,
! [P,Q,R] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(P,Q),R) = hAPP_b1915039793t_bool(P,hAPP_A1466488369i_bool(Q,R)),
inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_]) ).
fof(f_321_2,plain,
! [U_763,U_762,U_761] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(U_763,U_762),U_761) = hAPP_b1915039793t_bool(U_763,hAPP_A1466488369i_bool(U_762,U_761)),
inference(variable_rename,[status(thm)],[f_321_1]) ).
cnf(f_321_3,plain,
hAPP_A869356733t_bool(cOMBB_963584201e_indi(U_763,U_762),U_761) = hAPP_b1915039793t_bool(U_763,hAPP_A1466488369i_bool(U_762,U_761)),
inference(clausify,[status(thm)],[f_321_2]) ).
fof(f_322_1,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(negate,[status(cth)],[conj_0]) ).
fof(f_322_2,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(definitional_conversion,[status(esa)],[f_322_1]) ).
cnf(f_322_3,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(clausify,[status(thm)],[f_322_2]) ).
cnf(f_88_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_88_6]) ).
cnf(f_89_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_89_6]) ).
cnf(f_90_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_90_7]) ).
cnf(f_90_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_90_8]) ).
cnf(f_90_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_90_11]) ).
cnf(f_90_12_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_90_12]) ).
cnf(f_91_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_91_6]) ).
cnf(f_91_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_91_7]) ).
cnf(f_92_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_92_7]) ).
cnf(f_92_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_92_8]) ).
cnf(f_92_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_92_11]) ).
cnf(f_92_12_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_92_12]) ).
cnf(f_93_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_93_7]) ).
cnf(f_93_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_93_8]) ).
cnf(f_93_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_93_11]) ).
cnf(f_93_12_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_93_12]) ).
cnf(f_94_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_94_7]) ).
cnf(f_94_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_94_8]) ).
cnf(f_94_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_94_11]) ).
cnf(f_94_12_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_94_12]) ).
cnf(f_95_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_95_7]) ).
cnf(f_95_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_95_8]) ).
cnf(f_95_13_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_95_13]) ).
cnf(f_107_12_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_107_12]) ).
cnf(f_107_13_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_107_13]) ).
cnf(f_107_16_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_107_16]) ).
cnf(f_107_17_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_107_17]) ).
cnf(f_107_26_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_107_26]) ).
cnf(f_107_27_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_107_27]) ).
cnf(f_180_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_180_8]) ).
cnf(f_180_9_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_180_9]) ).
cnf(f_184_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_184_7]) ).
cnf(f_184_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_184_8]) ).
cnf(f_215_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_215_7]) ).
cnf(f_215_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_215_8]) ).
cnf(f_215_15_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_215_15]) ).
cnf(f_276_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_4]) ).
cnf(f_276_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_5]) ).
cnf(f_276_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_6]) ).
cnf(f_276_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_7]) ).
cnf(f_276_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_8]) ).
cnf(f_276_9_simplified,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_675)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ),
inference(simplify_clause,[status(thm)],[f_276_9]) ).
cnf(f_276_10_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_10]) ).
cnf(f_276_14_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_14]) ).
cnf(f_276_15_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_15]) ).
cnf(f_276_16_simplified,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| hAPP_A588601142di_nat(h,U_675) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(simplify_clause,[status(thm)],[f_276_16]) ).
cnf(f_276_17_simplified,plain,
( hAPP_A588601142di_nat(h,U_675) != n
| ~ 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,U_675)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(simplify_clause,[status(thm)],[f_276_17]) ).
cnf(f_276_18_simplified,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_675)),e)))
| ~ 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,U_675)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_675)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(simplify_clause,[status(thm)],[f_276_18]) ).
cnf(f_276_19_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_19]) ).
cnf(f_276_20_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_20]) ).
cnf(f_276_24_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_24]) ).
cnf(f_276_25_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_25]) ).
cnf(f_276_26_simplified,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,U_676)),e))) ),
inference(simplify_clause,[status(thm)],[f_276_26]) ).
cnf(f_276_28_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_28]) ).
cnf(f_276_29_simplified,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| 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,U_676)),c),e)))
| hAPP_A588601142di_nat(h,U_676) != n ),
inference(simplify_clause,[status(thm)],[f_276_29]) ).
cnf(f_276_30_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_30]) ).
cnf(f_276_31_simplified,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,U_676)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,U_676)),e)))
| hAPP_A588601142di_nat(h,U_676) = n ),
inference(simplify_clause,[status(thm)],[f_276_31]) ).
cnf(f_276_32_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_32]) ).
cnf(f_276_34_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_276_34]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( cOMBC_277798809t_bool(Eq_x_0,Eq_x_1) = cOMBC_277798809t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( inj_on24934938di_nat(Eq_x_0,Eq_x_1) = inj_on24934938di_nat(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( pi_Arr688267935t_bool(Eq_x_0,Eq_x_1) = pi_Arr688267935t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( pi_fun433100839t_bool(Eq_x_0,Eq_x_1) = pi_fun433100839t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( pi_Pro2135156861t_bool(Eq_x_0,Eq_x_1) = pi_Pro2135156861t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( undefi1301554228le_alt(Eq_x_0) = undefi1301554228le_alt(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( undefi818645567e_indi(Eq_x_0) = undefi818645567e_indi(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( product_prod(Eq_x_0,Eq_x_1) = product_prod(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( fun(Eq_x_0,Eq_x_1) = fun(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( undefi802509179t_bool(Eq_x_0) = undefi802509179t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( hilber1792103167di_nat(Eq_x_0,Eq_x_1) = hilber1792103167di_nat(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( collec45183100e_indi(Eq_x_0) = collec45183100e_indi(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( collec1580242420t_bool(Eq_x_0) = collec1580242420t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( collec1520786044t_bool(Eq_x_0) = collec1520786044t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( collec874260222t_bool(Eq_x_0) = collec874260222t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( collec1711870802le_alt(Eq_x_0) = collec1711870802le_alt(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( hAPP_A619995676t_bool(Eq_x_0,Eq_x_1) = hAPP_A619995676t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( hAPP_A1466488369i_bool(Eq_x_0,Eq_x_1) = hAPP_A1466488369i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( hAPP_A1912483895l_bool(Eq_x_0,Eq_x_1) = hAPP_A1912483895l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( hAPP_A1964572607l_bool(Eq_x_0,Eq_x_1) = hAPP_A1964572607l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( hAPP_A1944296755l_bool(Eq_x_0,Eq_x_1) = hAPP_A1944296755l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( hAPP_A1374816149t_bool(Eq_x_0,Eq_x_1) = hAPP_A1374816149t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( hAPP_bool_bool(Eq_x_0,Eq_x_1) = hAPP_bool_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( hAPP_b1018211123i_bool(Eq_x_0,Eq_x_1) = hAPP_b1018211123i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( hAPP_b1719629739l_bool(Eq_x_0,Eq_x_1) = hAPP_b1719629739l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( hAPP_b990649139l_bool(Eq_x_0,Eq_x_1) = hAPP_b990649139l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( hAPP_b1965422783l_bool(Eq_x_0,Eq_x_1) = hAPP_b1965422783l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( hAPP_b1024867081t_bool(Eq_x_0,Eq_x_1) = hAPP_b1024867081t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( hAPP_n385347014e_indi(Eq_x_0,Eq_x_1) = hAPP_n385347014e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( hAPP_nat_bool(Eq_x_0,Eq_x_1) = hAPP_nat_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( hAPP_f919661787l_bool(Eq_x_0,Eq_x_1) = hAPP_f919661787l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( hAPP_f1818473245e_indi(Eq_x_0,Eq_x_1) = hAPP_f1818473245e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( hAPP_f1636546729l_bool(Eq_x_0,Eq_x_1) = hAPP_f1636546729l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( hAPP_f749892423i_bool(Eq_x_0,Eq_x_1) = hAPP_f749892423i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_38,axiom,
( hAPP_f861484971l_bool(Eq_x_0,Eq_x_1) = hAPP_f861484971l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_39,axiom,
( hAPP_f695124765t_bool(Eq_x_0,Eq_x_1) = hAPP_f695124765t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_40,axiom,
( hAPP_f387058535l_bool(Eq_x_0,Eq_x_1) = hAPP_f387058535l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_41,axiom,
( hAPP_f204273237l_bool(Eq_x_0,Eq_x_1) = hAPP_f204273237l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_42,axiom,
( hAPP_f1012384989l_bool(Eq_x_0,Eq_x_1) = hAPP_f1012384989l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_43,axiom,
( hAPP_f453661011l_bool(Eq_x_0,Eq_x_1) = hAPP_f453661011l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_44,axiom,
( hAPP_f618619045e_indi(Eq_x_0,Eq_x_1) = hAPP_f618619045e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_45,axiom,
( hAPP_f785543729l_bool(Eq_x_0,Eq_x_1) = hAPP_f785543729l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_46,axiom,
( hAPP_f355113919i_bool(Eq_x_0,Eq_x_1) = hAPP_f355113919i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_47,axiom,
( hAPP_f483434675l_bool(Eq_x_0,Eq_x_1) = hAPP_f483434675l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_48,axiom,
( hAPP_f1018082273l_bool(Eq_x_0,Eq_x_1) = hAPP_f1018082273l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_49,axiom,
( hAPP_f1271180905l_bool(Eq_x_0,Eq_x_1) = hAPP_f1271180905l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_50,axiom,
( hAPP_f1550037191l_bool(Eq_x_0,Eq_x_1) = hAPP_f1550037191l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_51,axiom,
( hAPP_f1895985727l_bool(Eq_x_0,Eq_x_1) = hAPP_f1895985727l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_52,axiom,
( hAPP_f234874197l_bool(Eq_x_0,Eq_x_1) = hAPP_f234874197l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_53,axiom,
( hAPP_f500145249l_bool(Eq_x_0,Eq_x_1) = hAPP_f500145249l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_54,axiom,
( hAPP_f213304539l_bool(Eq_x_0,Eq_x_1) = hAPP_f213304539l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_55,axiom,
( hAPP_f1766869725l_bool(Eq_x_0,Eq_x_1) = hAPP_f1766869725l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_56,axiom,
( hAPP_f1279200745l_bool(Eq_x_0,Eq_x_1) = hAPP_f1279200745l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_57,axiom,
( hAPP_f592909149l_bool(Eq_x_0,Eq_x_1) = hAPP_f592909149l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_58,axiom,
( hAPP_f526292585l_bool(Eq_x_0,Eq_x_1) = hAPP_f526292585l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_59,axiom,
( hAPP_f460310451l_bool(Eq_x_0,Eq_x_1) = hAPP_f460310451l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_60,axiom,
( hAPP_f503012287l_bool(Eq_x_0,Eq_x_1) = hAPP_f503012287l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_61,axiom,
( hAPP_f1659504677e_indi(Eq_x_0,Eq_x_1) = hAPP_f1659504677e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_62,axiom,
( hAPP_f745298353l_bool(Eq_x_0,Eq_x_1) = hAPP_f745298353l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_63,axiom,
( hAPP_f352490559i_bool(Eq_x_0,Eq_x_1) = hAPP_f352490559i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_64,axiom,
( hAPP_f2056167603l_bool(Eq_x_0,Eq_x_1) = hAPP_f2056167603l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_65,axiom,
( hAPP_f1673487381t_bool(Eq_x_0,Eq_x_1) = hAPP_f1673487381t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_66,axiom,
( hAPP_P2024088443e_indi(Eq_x_0,Eq_x_1) = hAPP_P2024088443e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_67,axiom,
( hAPP_P2075002375t_bool(Eq_x_0,Eq_x_1) = hAPP_P2075002375t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_68,axiom,
( hAPP_P907763049i_bool(Eq_x_0,Eq_x_1) = hAPP_P907763049i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_69,axiom,
( member1056080916le_alt(Eq_x_0) = member1056080916le_alt(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_70,axiom,
( member1277417654t_bool(Eq_x_0) = member1277417654t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_71,axiom,
( produc171383831le_alt(Eq_x_0,Eq_x_1) = produc171383831le_alt(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_72,axiom,
( hAPP_f1290184496t_bool(Eq_x_0,Eq_x_1) = hAPP_f1290184496t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_73,axiom,
( hAPP_A588601142di_nat(Eq_x_0,Eq_x_1) = hAPP_A588601142di_nat(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_74,axiom,
( hAPP_n1699378549t_bool(Eq_x_0,Eq_x_1) = hAPP_n1699378549t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_75,axiom,
( hAPP_f1336478923t_bool(Eq_x_0,Eq_x_1) = hAPP_f1336478923t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_76,axiom,
( hAPP_A384644407t_bool(Eq_x_0,Eq_x_1) = hAPP_A384644407t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_77,axiom,
( cOMBB_317992461e_indi(Eq_x_0,Eq_x_1) = cOMBB_317992461e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_78,axiom,
( cOMBB_963584201e_indi(Eq_x_0,Eq_x_1) = cOMBB_963584201e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_79,axiom,
( cOMBB_1292070696e_indi(Eq_x_0,Eq_x_1) = cOMBB_1292070696e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_80,axiom,
( cOMBC_1778077589t_bool(Eq_x_0,Eq_x_1) = cOMBC_1778077589t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_81,axiom,
( cOMBS_102864562t_bool(Eq_x_0,Eq_x_1) = cOMBS_102864562t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_82,axiom,
( cOMBB_69933763e_indi(Eq_x_0,Eq_x_1) = cOMBB_69933763e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_83,axiom,
( cOMBC_493523632t_bool(Eq_x_0,Eq_x_1) = cOMBC_493523632t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_84,axiom,
( cOMBS_867867294t_bool(Eq_x_0,Eq_x_1) = cOMBS_867867294t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_85,axiom,
( finite120254591e_indi(Eq_x_0) = finite120254591e_indi(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_86,axiom,
( member_bool(Eq_x_0) = member_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_87,axiom,
( member2074804542e_indi(Eq_x_0) = member2074804542e_indi(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_88,axiom,
( member1622429502t_bool(Eq_x_0) = member1622429502t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_89,axiom,
( member1965683644t_bool(Eq_x_0) = member1965683644t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_90,axiom,
( hAPP_f1669465919l_bool(Eq_x_0,Eq_x_1) = hAPP_f1669465919l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_91,axiom,
( hAPP_f1760255479l_bool(Eq_x_0,Eq_x_1) = hAPP_f1760255479l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_92,axiom,
( hAPP_f281286919l_bool(Eq_x_0,Eq_x_1) = hAPP_f281286919l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_93,axiom,
( hAPP_b589554111l_bool(Eq_x_0,Eq_x_1) = hAPP_b589554111l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_94,axiom,
( hAPP_f1710416135l_bool(Eq_x_0,Eq_x_1) = hAPP_f1710416135l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_95,axiom,
( hAPP_f20355883l_bool(Eq_x_0,Eq_x_1) = hAPP_f20355883l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_96,axiom,
( hAPP_f1507266205t_bool(Eq_x_0,Eq_x_1) = hAPP_f1507266205t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_97,axiom,
( hAPP_P2127852789l_bool(Eq_x_0,Eq_x_1) = hAPP_P2127852789l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_98,axiom,
( member859582768le_alt(Eq_x_0) = member859582768le_alt(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_99,axiom,
( pi_Arr149813489le_alt(Eq_x_0,Eq_x_1) = pi_Arr149813489le_alt(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_100,axiom,
( hAPP_A1736628091le_alt(Eq_x_0,Eq_x_1) = hAPP_A1736628091le_alt(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_101,axiom,
( member42699324le_alt(Eq_x_0) = member42699324le_alt(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_102,axiom,
( pi_boo1877522301le_alt(Eq_x_0,Eq_x_1) = pi_boo1877522301le_alt(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_103,axiom,
( hAPP_b1817367815le_alt(Eq_x_0,Eq_x_1) = hAPP_b1817367815le_alt(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_104,axiom,
( member1833291218t_bool(Eq_x_0) = member1833291218t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_105,axiom,
( pi_Arr1511953043t_bool(Eq_x_0,Eq_x_1) = pi_Arr1511953043t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_106,axiom,
( hAPP_A1594182429t_bool(Eq_x_0,Eq_x_1) = hAPP_A1594182429t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_107,axiom,
( member1911067358t_bool(Eq_x_0) = member1911067358t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_108,axiom,
( pi_boo691944735t_bool(Eq_x_0,Eq_x_1) = pi_boo691944735t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_109,axiom,
( hAPP_b833696937t_bool(Eq_x_0,Eq_x_1) = hAPP_b833696937t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_110,axiom,
( member1467476314t_bool(Eq_x_0) = member1467476314t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_111,axiom,
( pi_Arr372473371t_bool(Eq_x_0,Eq_x_1) = pi_Arr372473371t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_112,axiom,
( hAPP_A1062826149t_bool(Eq_x_0,Eq_x_1) = hAPP_A1062826149t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_113,axiom,
( member2081512038t_bool(Eq_x_0) = member2081512038t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_114,axiom,
( pi_boo71521447t_bool(Eq_x_0,Eq_x_1) = pi_boo71521447t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_115,axiom,
( hAPP_b331122225t_bool(Eq_x_0,Eq_x_1) = hAPP_b331122225t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_116,axiom,
( member497701034t_bool(Eq_x_0) = member497701034t_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_117,axiom,
( pi_boo2007389459t_bool(Eq_x_0,Eq_x_1) = pi_boo2007389459t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_118,axiom,
( member765089840e_indi(Eq_x_0) = member765089840e_indi(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_119,axiom,
( pi_Pro437273841e_indi(Eq_x_0,Eq_x_1) = pi_Pro437273841e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_120,axiom,
( member1105181906e_indi(Eq_x_0) = member1105181906e_indi(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_121,axiom,
( pi_fun1736243859e_indi(Eq_x_0,Eq_x_1) = pi_fun1736243859e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_122,axiom,
( member1661336414l_bool(Eq_x_0) = member1661336414l_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_123,axiom,
( pi_fun1494794527l_bool(Eq_x_0,Eq_x_1) = pi_fun1494794527l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_124,axiom,
( hAPP_f313042899l_bool(Eq_x_0,Eq_x_1) = hAPP_f313042899l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_125,axiom,
( member1122398042e_indi(Eq_x_0) = member1122398042e_indi(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_126,axiom,
( pi_fun2075749915e_indi(Eq_x_0,Eq_x_1) = pi_fun2075749915e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_127,axiom,
( member387398118l_bool(Eq_x_0) = member387398118l_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_128,axiom,
( pi_fun525942951l_bool(Eq_x_0,Eq_x_1) = pi_fun525942951l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_129,axiom,
( hAPP_f497468491l_bool(Eq_x_0,Eq_x_1) = hAPP_f497468491l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_130,axiom,
( member329987264e_indi(Eq_x_0) = member329987264e_indi(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_131,axiom,
( pi_fun972956463e_indi(Eq_x_0,Eq_x_1) = pi_fun972956463e_indi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_132,axiom,
( member1033316428l_bool(Eq_x_0) = member1033316428l_bool(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_133,axiom,
( pi_fun1727820731l_bool(Eq_x_0,Eq_x_1) = pi_fun1727820731l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_134,axiom,
( hAPP_f417299659l_bool(Eq_x_0,Eq_x_1) = hAPP_f417299659l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_135,axiom,
( cOMBC_481590946t_bool(Eq_x_0,Eq_x_1) = cOMBC_481590946t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_136,axiom,
( cOMBC_437064334t_bool(Eq_x_0,Eq_x_1) = cOMBC_437064334t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_137,axiom,
( hAPP_f1979025587l_bool(Eq_x_0,Eq_x_1) = hAPP_f1979025587l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_138,axiom,
( hAPP_f1724001331l_bool(Eq_x_0,Eq_x_1) = hAPP_f1724001331l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_139,axiom,
( hAPP_f1970593179i_bool(Eq_x_0,Eq_x_1) = hAPP_f1970593179i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_140,axiom,
( hAPP_f681113465i_bool(Eq_x_0,Eq_x_1) = hAPP_f681113465i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_141,axiom,
( hAPP_f219827985l_bool(Eq_x_0,Eq_x_1) = hAPP_f219827985l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_142,axiom,
( hAPP_f1677452273i_bool(Eq_x_0,Eq_x_1) = hAPP_f1677452273i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_143,axiom,
( hAPP_f1235573641l_bool(Eq_x_0,Eq_x_1) = hAPP_f1235573641l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_144,axiom,
( hAPP_f1903519657i_bool(Eq_x_0,Eq_x_1) = hAPP_f1903519657i_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_145,axiom,
( hAPP_f1667233577l_bool(Eq_x_0,Eq_x_1) = hAPP_f1667233577l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_146,axiom,
( hAPP_f1520552209t_bool(Eq_x_0,Eq_x_1) = hAPP_f1520552209t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_147,axiom,
( hAPP_f813556705l_bool(Eq_x_0,Eq_x_1) = hAPP_f813556705l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_148,axiom,
( hAPP_f371807573l_bool(Eq_x_0,Eq_x_1) = hAPP_f371807573l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_149,axiom,
( hAPP_f1697527281l_bool(Eq_x_0,Eq_x_1) = hAPP_f1697527281l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_150,axiom,
( hAPP_f448497509l_bool(Eq_x_0,Eq_x_1) = hAPP_f448497509l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_151,axiom,
( hAPP_f2135750719l_bool(Eq_x_0,Eq_x_1) = hAPP_f2135750719l_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_152,axiom,
( hAPP_A1922697556t_bool(Eq_x_0,Eq_x_1) = hAPP_A1922697556t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_153,axiom,
( hAPP_b1915039793t_bool(Eq_x_0,Eq_x_1) = hAPP_b1915039793t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_154,axiom,
( hAPP_f159424297t_bool(Eq_x_0,Eq_x_1) = hAPP_f159424297t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_155,axiom,
( hAPP_A702630576t_bool(Eq_x_0,Eq_x_1) = hAPP_A702630576t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_156,axiom,
( hAPP_A460042315t_bool(Eq_x_0,Eq_x_1) = hAPP_A460042315t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_157,axiom,
( hAPP_A1333445289t_bool(Eq_x_0,Eq_x_1) = hAPP_A1333445289t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_158,axiom,
( hAPP_A869356733t_bool(Eq_x_0,Eq_x_1) = hAPP_A869356733t_bool(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_159,axiom,
( sK1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_160,axiom,
( sK2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_161,axiom,
( sK3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_162,axiom,
( sK4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_163,axiom,
( sK5(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK5(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_164,axiom,
( sK6(Eq_x_0) = sK6(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_165,axiom,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_166,axiom,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_167,axiom,
( sK9(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK9(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_168,axiom,
( sK10(Eq_x_0) = sK10(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_169,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_170,axiom,
( sK12(Eq_x_0) = sK12(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_171,axiom,
( sK13(Eq_x_0) = sK13(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_172,axiom,
( sK14(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK14(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_173,axiom,
( sK15(Eq_x_0) = sK15(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_174,axiom,
( sK16(Eq_x_0) = sK16(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_175,axiom,
( sK17(Eq_x_0) = sK17(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_176,axiom,
( sK18(Eq_x_0,Eq_x_1) = sK18(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_177,axiom,
( sK19(Eq_x_0,Eq_x_1) = sK19(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_178,axiom,
( sK20(Eq_x_0,Eq_x_1) = sK20(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_179,axiom,
( sK21(Eq_x_0,Eq_x_1) = sK21(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_180,axiom,
( sK22(Eq_x_0,Eq_x_1) = sK22(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_181,axiom,
( sK23(Eq_x_0) = sK23(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_182,axiom,
( sK24(Eq_x_0) = sK24(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_183,axiom,
( sK25(Eq_x_0,Eq_x_1) = sK25(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_184,axiom,
( sK26(Eq_x_0,Eq_x_1) = sK26(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_185,axiom,
( sK27(Eq_x_0,Eq_x_1) = sK27(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_186,axiom,
( sK28(Eq_x_0,Eq_x_1) = sK28(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_187,axiom,
( sK29(Eq_x_0,Eq_x_1) = sK29(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_188,axiom,
( is_fun631676118l_bool(Eq_y_0)
| ~ is_fun631676118l_bool(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_189,axiom,
( is_fun432044380l_bool(Eq_y_0)
| ~ is_fun432044380l_bool(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_190,axiom,
( is_fun959573582l_bool(Eq_y_0)
| ~ is_fun959573582l_bool(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_191,axiom,
( is_fun917378774i_bool(Eq_y_0)
| ~ is_fun917378774i_bool(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_192,axiom,
( is_bool(Eq_y_0)
| ~ is_bool(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_193,axiom,
( is_fun282293932t_bool(Eq_y_0)
| ~ is_fun282293932t_bool(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_194,axiom,
( is_Arr553848933le_alt(Eq_y_0)
| ~ is_Arr553848933le_alt(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_195,axiom,
( is_Arr625519182e_indi(Eq_y_0)
| ~ is_Arr625519182e_indi(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_196,axiom,
( is_fun1016509681e_indi(Eq_y_0)
| ~ is_fun1016509681e_indi(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_197,axiom,
( hBOOL(Eq_y_0)
| ~ hBOOL(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT171+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 21:26:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.67/0.96 % SZS status Theorem for theBenchmark
% 0.67/0.96 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------