TSTP Solution File: SCT171+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SCT171+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 21:38:28 EDT 2022
% Result : Theorem 0.64s 0.96s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 325
% Syntax : Number of formulae : 3660 ( 712 unt; 0 def)
% Number of atoms : 17035 (3659 equ)
% Maximal formula atoms : 190 ( 4 avg)
% Number of connectives : 22903 (9528 ~;12280 |; 285 &)
% ( 100 <=>; 710 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 275 ( 275 usr; 62 con; 0-6 aty)
% Number of variables : 9859 ( 571 sgn2072 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( X11 != X10
=> ( X12 != X9
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ) ),
file('<stdin>',fact_7__C1_C) ).
fof(c_0_1,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( X11 != X10
=> ( X12 != X9
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ) ),
file('<stdin>',fact_6__C2_C) ).
fof(c_0_2,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ),
file('<stdin>',fact_9_pairwise__neutrality) ).
fof(c_0_3,axiom,
! [X22] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X22))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X24] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X24),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X24,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X24))) ) ) ) ) ) ),
file('<stdin>',fact_23_IIA__def) ).
fof(c_0_4,axiom,
! [X7,X8,X14,X11,X12] :
( ( is_Arr553848933le_alt(X14)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X12 != X14
=> ( X11 != X14
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X14)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X14)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ),
file('<stdin>',fact_8__C4_C) ).
fof(c_0_5,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('<stdin>',fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am) ).
fof(c_0_6,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('<stdin>',fact_14_PW) ).
fof(c_0_7,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('<stdin>',fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(c_0_8,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('<stdin>',fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(c_0_9,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('<stdin>',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(c_0_10,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('<stdin>',fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai) ).
fof(c_0_11,axiom,
! [X7,X8,X11,X12] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ),
file('<stdin>',fact_10__C3_C) ).
fof(c_0_12,axiom,
! [X22] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X22))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X13))) )
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23))) ) ) ) ),
file('<stdin>',fact_24_unanimity__def) ).
fof(c_0_13,axiom,
! [X13] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X13)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> ( ( hAPP_A588601142di_nat(h,X13) = 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,X13)),c),e))) )
& ( hAPP_A588601142di_nat(h,X13) != n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X13)),e))) ) ) ) )
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),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,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ) ) ),
file('<stdin>',fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am) ).
fof(c_0_14,axiom,
! [X13] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X13)))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X13)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> ( ( hAPP_A588601142di_nat(h,X13) = 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,X13)),c),e))) )
& ( hAPP_A588601142di_nat(h,X13) != n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X13)),e))) ) ) ) ) ),
file('<stdin>',fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J) ).
fof(c_0_15,axiom,
! [X74] : 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),X74)),lab),lba)),arrow_413697182e_Prof)),
file('<stdin>',fact_151_PiProf) ).
fof(c_0_16,axiom,
! [X66,X67] :
( ( is_fun282293932t_bool(X66)
& is_fun282293932t_bool(X67) )
=> ( ! [X23,X24] :
( ( is_Arr553848933le_alt(X23)
& is_Arr553848933le_alt(X24) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X23,X24)),X67))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X23,X24)),X66)) ) )
<=> X67 = X66 ) ),
file('<stdin>',fact_96_pred__equals__eq2) ).
fof(c_0_17,axiom,
! [X72,X22] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X22),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
=> ( ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( X16 != X17
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X72)))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23))) ) ) ) )
=> hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X22),X72)) ) ),
file('<stdin>',fact_132_dictatorI) ).
fof(c_0_18,axiom,
! [X3,X4,X5,X11,X12] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X11),X12)))
<=> ( X3 != X4
& ( X3 = X12
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X4)),X5)) )
& ( X3 != X12
=> ( ( X4 = X12
=> ( X3 = X11
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X11)),X5)) ) )
& ( X4 != X12
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ) ) ) ) ),
file('<stdin>',fact_131_in__above) ).
fof(c_0_19,axiom,
! [X5,X3,X4] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4) )
=> ( X3 != X4
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X3),X4)),arrow_1239002508le_Lin)) ) ) ),
file('<stdin>',fact_129_above__Lin) ).
fof(c_0_20,axiom,
! [X3,X4,X5,X6] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X6) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X5),X6)))
<=> ( X3 != X6
& ( X4 = X6
=> X3 != X4 )
& ( X4 != X6
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ),
file('<stdin>',fact_5_in__mktop) ).
fof(c_0_21,axiom,
! [X3,X4,X5,X6] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X6) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X5),X6)))
<=> ( X4 != X6
& ( X3 = X6
=> X3 != X4 )
& ( X3 != X6
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ),
file('<stdin>',fact_4_in__mkbot) ).
fof(c_0_22,axiom,
! [X3,X4,X5] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4) )
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( X3 != X4
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ) ) ) ),
file('<stdin>',fact_119_notin__Lin__iff) ).
fof(c_0_23,axiom,
! [X11,X12,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),X5))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),X5)) ) ),
file('<stdin>',fact_118_Lin__irrefl) ).
fof(c_0_24,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_186_funcset__mem) ).
fof(c_0_25,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_185_funcset__mem) ).
fof(c_0_26,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_184_funcset__mem) ).
fof(c_0_27,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_183_funcset__mem) ).
fof(c_0_28,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_182_funcset__mem) ).
fof(c_0_29,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_181_funcset__mem) ).
fof(c_0_30,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_180_funcset__mem) ).
fof(c_0_31,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),X73)) ) ),
file('<stdin>',fact_179_funcset__mem) ).
fof(c_0_32,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),X73)) ) ),
file('<stdin>',fact_178_funcset__mem) ).
fof(c_0_33,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X73))))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_177_funcset__mem) ).
fof(c_0_34,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X73))))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),X73)) ) ),
file('<stdin>',fact_176_funcset__mem) ).
fof(c_0_35,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X73))))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_175_funcset__mem) ).
fof(c_0_36,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X73))))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),X73)) ) ),
file('<stdin>',fact_174_funcset__mem) ).
fof(c_0_37,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_173_funcset__mem) ).
fof(c_0_38,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),X73)) ) ),
file('<stdin>',fact_172_funcset__mem) ).
fof(c_0_39,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X73))))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),X73)) ) ),
file('<stdin>',fact_171_funcset__mem) ).
fof(c_0_40,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X73))))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),X73)) ) ),
file('<stdin>',fact_170_funcset__mem) ).
fof(c_0_41,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('<stdin>',fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0) ).
fof(c_0_42,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),hAPP_A1944296755l_bool(X73,X3))) ) ),
file('<stdin>',fact_168_Pi__mem) ).
fof(c_0_43,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),hAPP_f861484971l_bool(X73,X3))) ) ),
file('<stdin>',fact_167_Pi__mem) ).
fof(c_0_44,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),hAPP_b1965422783l_bool(X73,X3))) ) ),
file('<stdin>',fact_166_Pi__mem) ).
fof(c_0_45,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),hAPP_b990649139l_bool(X73,X3))) ) ),
file('<stdin>',fact_165_Pi__mem) ).
fof(c_0_46,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),hAPP_A1964572607l_bool(X73,X3))) ) ),
file('<stdin>',fact_164_Pi__mem) ).
fof(c_0_47,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),hAPP_b1719629739l_bool(X73,X3))) ) ),
file('<stdin>',fact_163_Pi__mem) ).
fof(c_0_48,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),hAPP_A1912483895l_bool(X73,X3))) ) ),
file('<stdin>',fact_162_Pi__mem) ).
fof(c_0_49,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),hAPP_b1024867081t_bool(X73,X3))) ) ),
file('<stdin>',fact_161_Pi__mem) ).
fof(c_0_50,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),hAPP_A1374816149t_bool(X73,X3))) ) ),
file('<stdin>',fact_160_Pi__mem) ).
fof(c_0_51,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,X73)))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),hAPP_f417299659l_bool(X73,X3))) ) ),
file('<stdin>',fact_159_Pi__mem) ).
fof(c_0_52,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,X73)))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),hAPP_f352490559i_bool(X73,X3))) ) ),
file('<stdin>',fact_158_Pi__mem) ).
fof(c_0_53,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,X73)))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),hAPP_f497468491l_bool(X73,X3))) ) ),
file('<stdin>',fact_157_Pi__mem) ).
fof(c_0_54,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,X73)))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),hAPP_f355113919i_bool(X73,X3))) ) ),
file('<stdin>',fact_156_Pi__mem) ).
fof(c_0_55,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),hAPP_f313042899l_bool(X73,X3))) ) ),
file('<stdin>',fact_155_Pi__mem) ).
fof(c_0_56,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),hAPP_f749892423i_bool(X73,X3))) ) ),
file('<stdin>',fact_154_Pi__mem) ).
fof(c_0_57,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,X73)))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),hAPP_P907763049i_bool(X73,X3))) ) ),
file('<stdin>',fact_153_Pi__mem) ).
fof(c_0_58,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,X73)))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),hAPP_P2127852789l_bool(X73,X3))) ) ),
file('<stdin>',fact_152_Pi__mem) ).
fof(c_0_59,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),hAPP_A1944296755l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
file('<stdin>',fact_149_PiE) ).
fof(c_0_60,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),hAPP_f861484971l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
file('<stdin>',fact_148_PiE) ).
fof(c_0_61,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),hAPP_f417299659l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69)) ) ),
file('<stdin>',fact_147_PiE) ).
fof(c_0_62,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),hAPP_f352490559i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69)) ) ),
file('<stdin>',fact_146_PiE) ).
fof(c_0_63,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),hAPP_f497468491l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69)) ) ),
file('<stdin>',fact_145_PiE) ).
fof(c_0_64,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),hAPP_f355113919i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69)) ) ),
file('<stdin>',fact_144_PiE) ).
fof(c_0_65,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),hAPP_f313042899l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
file('<stdin>',fact_143_PiE) ).
fof(c_0_66,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),hAPP_f749892423i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
file('<stdin>',fact_142_PiE) ).
fof(c_0_67,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),hAPP_P907763049i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69)) ) ),
file('<stdin>',fact_141_PiE) ).
fof(c_0_68,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),hAPP_b1965422783l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
file('<stdin>',fact_140_PiE) ).
fof(c_0_69,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),hAPP_b990649139l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
file('<stdin>',fact_139_PiE) ).
fof(c_0_70,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),hAPP_A1964572607l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
file('<stdin>',fact_138_PiE) ).
fof(c_0_71,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),hAPP_b1719629739l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
file('<stdin>',fact_137_PiE) ).
fof(c_0_72,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),hAPP_A1912483895l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
file('<stdin>',fact_136_PiE) ).
fof(c_0_73,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,X73)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),hAPP_b1024867081t_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
file('<stdin>',fact_135_PiE) ).
fof(c_0_74,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,X73)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),hAPP_A1374816149t_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
file('<stdin>',fact_134_PiE) ).
fof(c_0_75,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),hAPP_P2127852789l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69)) ) ),
file('<stdin>',fact_133_PiE) ).
fof(c_0_76,axiom,
! [X3,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X5),X3)),arrow_1239002508le_Lin)) ),
file('<stdin>',fact_128_mkbot__Lin) ).
fof(c_0_77,axiom,
! [X3,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X5),X3)),arrow_1239002508le_Lin)) ),
file('<stdin>',fact_127_mktop__Lin) ).
fof(c_0_78,axiom,
! [X32,X33,X34] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X34))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X32))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X32)) ) ),
file('<stdin>',fact_59_order__less__trans) ).
fof(c_0_79,axiom,
! [X6,X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X6))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X6)) ) ),
file('<stdin>',fact_58_order__less__trans) ).
fof(c_0_80,axiom,
! [X29,X30,X31] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X30),X31))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X30))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X31)) ) ),
file('<stdin>',fact_57_xt1_I10_J) ).
fof(c_0_81,axiom,
! [X6,X4,X3] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X4))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X3)) ) ),
file('<stdin>',fact_56_xt1_I10_J) ).
fof(c_0_82,axiom,
! [X8,X3,X4] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
=> hBOOL(X8) ) ),
file('<stdin>',fact_73_order__less__imp__triv) ).
fof(c_0_83,axiom,
! [X8,X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3))
=> hBOOL(X8) ) ),
file('<stdin>',fact_72_order__less__imp__triv) ).
fof(c_0_84,axiom,
! [X3,X4,X68,X69] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> X3 = X4 ) ) ) ) ),
file('<stdin>',fact_111_inj__onD) ).
fof(c_0_85,axiom,
! [X4,X3,X68,X69] :
( ( is_Arr625519182e_indi(X4)
& is_Arr625519182e_indi(X3) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
<=> X3 = X4 ) ) ) ) ),
file('<stdin>',fact_110_inj__on__iff) ).
fof(c_0_86,axiom,
! [X3,X4,X68,X69] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( X3 != X4
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> hAPP_A588601142di_nat(X68,X3) != hAPP_A588601142di_nat(X68,X4) ) ) ) ) ),
file('<stdin>',fact_109_inj__on__contraD) ).
fof(c_0_87,axiom,
! [X68,X69] :
( hBOOL(inj_on24934938di_nat(X68,X69))
<=> ! [X23] :
( is_Arr625519182e_indi(X23)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X23),X69))
=> ! [X24] :
( is_Arr625519182e_indi(X24)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X24),X69))
=> ( hAPP_A588601142di_nat(X68,X23) = hAPP_A588601142di_nat(X68,X24)
=> X23 = X24 ) ) ) ) ) ),
file('<stdin>',fact_108_inj__on__def) ).
fof(c_0_88,axiom,
! [X3,X4] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
| X3 = X4 ) ),
file('<stdin>',fact_87_not__less__iff__gr__or__eq) ).
fof(c_0_89,axiom,
! [X57,X58] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X57),X58))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X57)) ),
file('<stdin>',fact_81_order__less__not__sym) ).
fof(c_0_90,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
file('<stdin>',fact_80_order__less__not__sym) ).
fof(c_0_91,axiom,
! [X55,X56] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X56))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X56),X55)) ),
file('<stdin>',fact_79_order__less__imp__not__less) ).
fof(c_0_92,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
file('<stdin>',fact_78_order__less__imp__not__less) ).
fof(c_0_93,axiom,
! [X49,X50] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X49),X50))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X49)) ),
file('<stdin>',fact_71_order__less__asym_H) ).
fof(c_0_94,axiom,
! [X11,X12] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11)) ),
file('<stdin>',fact_70_order__less__asym_H) ).
fof(c_0_95,axiom,
! [X47,X48] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X47),X48))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X48),X47)) ),
file('<stdin>',fact_69_xt1_I9_J) ).
fof(c_0_96,axiom,
! [X12,X11] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12)) ),
file('<stdin>',fact_68_xt1_I9_J) ).
fof(c_0_97,axiom,
! [X27,X28] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X27),X28))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X28),X27)) ),
file('<stdin>',fact_55_order__less__asym) ).
fof(c_0_98,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
file('<stdin>',fact_54_order__less__asym) ).
fof(c_0_99,axiom,
! [X8] :
( ! [X15] : hBOOL(hAPP_P2075002375t_bool(X8,X15))
<=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> hBOOL(hAPP_P2075002375t_bool(X8,produc171383831le_alt(X16,X17))) ) ),
file('<stdin>',fact_15_split__paired__All) ).
fof(c_0_100,axiom,
! [X70,X68] :
( is_fun1016509681e_indi(X70)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( ! [X23] : hAPP_A588601142di_nat(X68,hAPP_n385347014e_indi(X70,X23)) = X23
=> hilber1792103167di_nat(top_to1256827021i_bool,X68) = X70 ) ) ),
file('<stdin>',fact_113_inj__imp__inv__eq) ).
fof(c_0_101,axiom,
! [X22,X72] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X22),X72))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> hAPP_f695124765t_bool(X22,X23) = hAPP_A1374816149t_bool(X23,X72) ) ),
file('<stdin>',fact_187_dictator__def) ).
fof(c_0_102,axiom,
! [X11,X12] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ? [X23] :
( is_fun282293932t_bool(X23)
& hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X23),arrow_1239002508le_Lin))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),X23)) ) ) ),
file('<stdin>',fact_150_complete__Lin) ).
fof(c_0_103,axiom,
! [X4,X3] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
<=> X3 = X4 ) ),
file('<stdin>',fact_85_linorder__antisym__conv3) ).
fof(c_0_104,axiom,
! [X44,X45,X46] :
( X45 = X46
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X46),X44))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X45),X44)) ) ),
file('<stdin>',fact_67_ord__eq__less__trans) ).
fof(c_0_105,axiom,
! [X14,X11,X12] :
( X11 = X12
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X14))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X14)) ) ),
file('<stdin>',fact_66_ord__eq__less__trans) ).
fof(c_0_106,axiom,
! [X41,X42,X43] :
( X42 = X43
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X41),X43))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X41),X42)) ) ),
file('<stdin>',fact_65_xt1_I1_J) ).
fof(c_0_107,axiom,
! [X14,X11,X12] :
( X11 = X12
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X14),X12))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X14),X11)) ) ),
file('<stdin>',fact_64_xt1_I1_J) ).
fof(c_0_108,axiom,
! [X38,X39,X40] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X39),X40))
=> ( X40 = X38
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X39),X38)) ) ),
file('<stdin>',fact_63_ord__less__eq__trans) ).
fof(c_0_109,axiom,
! [X14,X11,X12] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12))
=> ( X12 = X14
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X14)) ) ),
file('<stdin>',fact_62_ord__less__eq__trans) ).
fof(c_0_110,axiom,
! [X35,X36,X37] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X36),X37))
=> ( X36 = X35
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X35),X37)) ) ),
file('<stdin>',fact_61_xt1_I2_J) ).
fof(c_0_111,axiom,
! [X14,X12,X11] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11))
=> ( X12 = X14
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X14),X11)) ) ),
file('<stdin>',fact_60_xt1_I2_J) ).
fof(c_0_112,axiom,
! [X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X5)),arrow_413697182e_Prof)) ),
file('<stdin>',fact_130_const__Lin__Prof) ).
fof(c_0_113,axiom,
! [X3,X68,X69] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hAPP_n385347014e_indi(hilber1792103167di_nat(X69,X68),hAPP_A588601142di_nat(X68,X3)) = X3 ) ) ),
file('<stdin>',fact_105_inv__into__f__f) ).
fof(c_0_114,axiom,
! [X4,X3,X68,X69] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hAPP_A588601142di_nat(X68,X3) = X4
=> hAPP_n385347014e_indi(hilber1792103167di_nat(X69,X68),X4) = X3 ) ) ) ),
file('<stdin>',fact_106_inv__into__f__eq) ).
fof(c_0_115,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
file('<stdin>',fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096) ).
fof(c_0_116,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
file('<stdin>',fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096) ).
fof(c_0_117,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
file('<stdin>',fact_115_assms_I1_J) ).
fof(c_0_118,axiom,
! [X3,X4] :
( X3 != X4
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3)) ) ),
file('<stdin>',fact_88_linorder__neq__iff) ).
fof(c_0_119,axiom,
! [X63,X64] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X64))
| X63 = X64
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X64),X63)) ),
file('<stdin>',fact_86_linorder__less__linear) ).
fof(c_0_120,axiom,
! [X61,X62] :
( X61 != X62
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X62))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X61)) ) ),
file('<stdin>',fact_84_linorder__neqE) ).
fof(c_0_121,axiom,
! [X25,X26] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X25),X26))
=> ( X25 != X26
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X25)) ) ),
file('<stdin>',fact_53_linorder__cases) ).
fof(c_0_122,axiom,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
file('<stdin>',gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(c_0_123,axiom,
! [X11] :
( ~ ( hBOOL(X11)
<=> hBOOL(top_top_bool) )
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X11),top_top_bool)) ),
file('<stdin>',fact_100_less__top) ).
fof(c_0_124,axiom,
! [X11] :
( is_fun917378774i_bool(X11)
=> ( X11 != top_to1256827021i_bool
<=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),top_to1256827021i_bool)) ) ),
file('<stdin>',fact_102_less__top) ).
fof(c_0_125,axiom,
! [X11] :
( is_fun282293932t_bool(X11)
=> ( X11 != top_to2034604131t_bool
<=> hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X11),top_to2034604131t_bool)) ) ),
file('<stdin>',fact_101_less__top) ).
fof(c_0_126,axiom,
! [X11] :
( is_fun631676118l_bool(X11)
=> ( X11 != top_to40512653l_bool
<=> hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X11),top_to40512653l_bool)) ) ),
file('<stdin>',fact_99_less__top) ).
fof(c_0_127,axiom,
! [X11] :
( is_fun959573582l_bool(X11)
=> ( X11 != top_to1194196741l_bool
<=> hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X11),top_to1194196741l_bool)) ) ),
file('<stdin>',fact_98_less__top) ).
fof(c_0_128,axiom,
! [X11] :
( is_fun432044380l_bool(X11)
=> ( X11 != top_to2005687013l_bool
<=> hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X11),top_to2005687013l_bool)) ) ),
file('<stdin>',fact_97_less__top) ).
fof(c_0_129,axiom,
! [X59,X60] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X59),X60))
=> X59 != X60 ),
file('<stdin>',fact_83_less__imp__neq) ).
fof(c_0_130,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X3 != X4 ),
file('<stdin>',fact_82_less__imp__neq) ).
fof(c_0_131,axiom,
! [X53,X54] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X54))
=> X53 != X54 ),
file('<stdin>',fact_77_order__less__imp__not__eq) ).
fof(c_0_132,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X3 != X4 ),
file('<stdin>',fact_76_order__less__imp__not__eq) ).
fof(c_0_133,axiom,
! [X51,X52] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X51),X52))
=> X52 != X51 ),
file('<stdin>',fact_75_order__less__imp__not__eq2) ).
fof(c_0_134,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X4 != X3 ),
file('<stdin>',fact_74_order__less__imp__not__eq2) ).
fof(c_0_135,axiom,
! [X76,X77] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X76),X77))
| X76 = X77 ),
file('<stdin>',help_fequal_1_1_fequal_000tc__Nat__Onat_T) ).
fof(c_0_136,axiom,
! [X65] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X65),X65)),
file('<stdin>',fact_90_order__less__irrefl) ).
fof(c_0_137,axiom,
! [X3] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X3)),
file('<stdin>',fact_89_order__less__irrefl) ).
fof(c_0_138,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
file('<stdin>',fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096) ).
fof(c_0_139,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
file('<stdin>',fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).
fof(c_0_140,axiom,
! [X3,X68] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X68),hAPP_A588601142di_nat(X68,X3)) = X3 ) ),
file('<stdin>',fact_104_inv__f__f) ).
fof(c_0_141,axiom,
! [X3,X4,X68] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = X4
=> hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X68),X4) = X3 ) ) ),
file('<stdin>',fact_103_inv__f__eq) ).
fof(c_0_142,axiom,
! [X11] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X11)),
file('<stdin>',fact_52_not__top__less) ).
fof(c_0_143,axiom,
! [X11] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X11)),
file('<stdin>',fact_51_not__top__less) ).
fof(c_0_144,axiom,
! [X11] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X11)),
file('<stdin>',fact_50_not__top__less) ).
fof(c_0_145,axiom,
! [X11] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X11)),
file('<stdin>',fact_49_not__top__less) ).
fof(c_0_146,axiom,
! [X11] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X11)),
file('<stdin>',fact_48_not__top__less) ).
fof(c_0_147,axiom,
! [X11] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X11)),
file('<stdin>',fact_47_not__top__less) ).
fof(c_0_148,axiom,
! [X75,X78,X79] : hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X75,X78),X79) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X75,X79),hAPP_A1374816149t_bool(X78,X79)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041) ).
fof(c_0_149,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X75,X78),X79) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X75,X79),hAPP_A1374816149t_bool(X78,X79)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000) ).
fof(c_0_150,axiom,
! [X3,X4,X68] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
=> X3 = X4 ) ) ),
file('<stdin>',fact_112_injD) ).
fof(c_0_151,axiom,
! [X3,X4,X68] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
<=> X3 = X4 ) ) ),
file('<stdin>',fact_107_inj__eq) ).
fof(c_0_152,axiom,
! [X3,X69] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
<=> hBOOL(hAPP_f745298353l_bool(X69,X3)) ),
file('<stdin>',fact_125_mem__def) ).
fof(c_0_153,axiom,
! [X3,X69] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
<=> hBOOL(hAPP_f785543729l_bool(X69,X3)) ),
file('<stdin>',fact_124_mem__def) ).
fof(c_0_154,axiom,
! [X3,X69] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
<=> hBOOL(hAPP_f1636546729l_bool(X69,X3)) ),
file('<stdin>',fact_123_mem__def) ).
fof(c_0_155,axiom,
! [X3,X69] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
<=> hBOOL(hAPP_P2075002375t_bool(X69,X3)) ),
file('<stdin>',fact_122_mem__def) ).
fof(c_0_156,axiom,
! [X3,X69] :
( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
<=> hBOOL(hAPP_bool_bool(X69,X3)) ),
file('<stdin>',fact_121_mem__def) ).
fof(c_0_157,axiom,
! [X3,X69] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
<=> hBOOL(hAPP_A1466488369i_bool(X69,X3)) ),
file('<stdin>',fact_120_mem__def) ).
fof(c_0_158,axiom,
! [X76,X77] :
( is_fun282293932t_bool(X77)
=> hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X76),X77) = X77 ),
file('<stdin>',help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(c_0_159,axiom,
! [X76,X77] :
( is_fun282293932t_bool(X76)
=> hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X76),X77) = X76 ),
file('<stdin>',help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(c_0_160,axiom,
! [X75,X78,X79] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(X75,X78),X79) = hAPP_b1915039793t_bool(X75,hAPP_A1466488369i_bool(X78,X79)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_) ).
fof(c_0_161,axiom,
! [X75,X78,X79] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X75,X78),X79) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X75,X79),X78),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040) ).
fof(c_0_162,axiom,
! [X75,X78,X79] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(X75,X78),X79) = hAPP_f1336478923t_bool(X75,hAPP_A1374816149t_bool(X78,X79)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039) ).
fof(c_0_163,axiom,
! [X75,X78,X79] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X75,X78),X79) = hAPP_f1290184496t_bool(X75,hAPP_A1374816149t_bool(X78,X79)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(c_0_164,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X75,X78),X79) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X75,X79),X78),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034) ).
fof(c_0_165,axiom,
! [X75,X78,X79] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(X75,X78),X79) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X75,X79),X78),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033) ).
fof(c_0_166,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X75,X78),X79) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X75,X79),X78),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030) ).
fof(c_0_167,axiom,
! [X75,X78,X79] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X75,X78),X79) = hAPP_n1699378549t_bool(X75,hAPP_A588601142di_nat(X78,X79)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).
fof(c_0_168,axiom,
! [X75,X78,X79] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X75,X78),X79) = hAPP_nat_bool(hAPP_A1922697556t_bool(X75,X79),X78),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000) ).
fof(c_0_169,axiom,
! [X76,X77] :
( X76 != X77
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X76),X77)) ),
file('<stdin>',help_fequal_2_1_fequal_000tc__Nat__Onat_T) ).
fof(c_0_170,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
file('<stdin>',fact_19_n_I1_J) ).
fof(c_0_171,axiom,
! [X11,X12,X9,X10] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12)
& is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10) )
=> ( produc171383831le_alt(X11,X12) = produc171383831le_alt(X9,X10)
<=> ( X11 = X9
& X12 = X10 ) ) ),
file('<stdin>',fact_22_Pair__eq) ).
fof(c_0_172,axiom,
! [X18,X19,X20,X21] :
( ( is_Arr553848933le_alt(X18)
& is_Arr553848933le_alt(X19)
& is_Arr553848933le_alt(X20)
& is_Arr553848933le_alt(X21) )
=> ( produc171383831le_alt(X18,X19) = produc171383831le_alt(X20,X21)
=> ~ ( X18 = X20
=> X19 != X21 ) ) ),
file('<stdin>',fact_21_Pair__inject) ).
fof(c_0_173,axiom,
! [X68] :
( ! [X23,X71] :
( ( is_Arr625519182e_indi(X23)
& is_Arr625519182e_indi(X71) )
=> ( hAPP_A588601142di_nat(X68,X23) = hAPP_A588601142di_nat(X68,X71)
=> X23 = X71 ) )
=> hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool)) ),
file('<stdin>',fact_114_injI) ).
fof(c_0_174,axiom,
! [X3] :
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X3))
<=> hBOOL(top_top_bool) ),
file('<stdin>',fact_46_top__apply) ).
fof(c_0_175,axiom,
! [X3] :
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X3))
<=> hBOOL(top_top_bool) ),
file('<stdin>',fact_45_top__apply) ).
fof(c_0_176,axiom,
! [X3] :
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X3))
<=> hBOOL(top_top_bool) ),
file('<stdin>',fact_44_top__apply) ).
fof(c_0_177,axiom,
! [X3] :
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X3))
<=> hBOOL(top_top_bool) ),
file('<stdin>',fact_43_top__apply) ).
fof(c_0_178,axiom,
! [X3] :
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X3))
<=> hBOOL(top_top_bool) ),
file('<stdin>',fact_42_top__apply) ).
fof(c_0_179,axiom,
! [X75,X78] :
( is_fun631676118l_bool(X75)
=> hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038) ).
fof(c_0_180,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037) ).
fof(c_0_181,axiom,
! [X75,X78] :
( is_fun631676118l_bool(X75)
=> hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel) ).
fof(c_0_182,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035) ).
fof(c_0_183,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__) ).
fof(c_0_184,axiom,
! [X75,X78] :
( is_fun959573582l_bool(X75)
=> hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032) ).
fof(c_0_185,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031) ).
fof(c_0_186,axiom,
! [X75,X78] :
( is_fun959573582l_bool(X75)
=> hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje) ).
fof(c_0_187,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028) ).
fof(c_0_188,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027) ).
fof(c_0_189,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel) ).
fof(c_0_190,axiom,
! [X75,X78] :
( is_fun282293932t_bool(X75)
=> hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026) ).
fof(c_0_191,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__) ).
fof(c_0_192,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe) ).
fof(c_0_193,axiom,
! [X75,X78] :
( is_fun282293932t_bool(X75)
=> hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(c_0_194,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_) ).
fof(c_0_195,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe) ).
fof(c_0_196,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X75),X78) = X75 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje) ).
fof(c_0_197,axiom,
! [X1,X2] :
( ( is_fun917378774i_bool(X1)
& is_Arr625519182e_indi(X2) )
=> is_bool(hAPP_A1466488369i_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O) ).
fof(c_0_198,axiom,
! [X3] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),top_to2005687013l_bool)),
file('<stdin>',fact_41_iso__tuple__UNIV__I) ).
fof(c_0_199,axiom,
! [X3] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),top_to40512653l_bool)),
file('<stdin>',fact_40_iso__tuple__UNIV__I) ).
fof(c_0_200,axiom,
! [X3] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),top_to1194196741l_bool)),
file('<stdin>',fact_39_iso__tuple__UNIV__I) ).
fof(c_0_201,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),top_to2034604131t_bool)),
file('<stdin>',fact_38_iso__tuple__UNIV__I) ).
fof(c_0_202,axiom,
! [X3] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),top_to1256827021i_bool)),
file('<stdin>',fact_37_iso__tuple__UNIV__I) ).
fof(c_0_203,axiom,
! [X3] : hBOOL(hAPP_f387058535l_bool(member_bool(X3),top_to1647826457l_bool)),
file('<stdin>',fact_36_iso__tuple__UNIV__I) ).
fof(c_0_204,axiom,
! [X3] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),top_to2005687013l_bool)),
file('<stdin>',fact_35_UNIV__I) ).
fof(c_0_205,axiom,
! [X3] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),top_to40512653l_bool)),
file('<stdin>',fact_34_UNIV__I) ).
fof(c_0_206,axiom,
! [X3] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),top_to1194196741l_bool)),
file('<stdin>',fact_33_UNIV__I) ).
fof(c_0_207,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),top_to2034604131t_bool)),
file('<stdin>',fact_32_UNIV__I) ).
fof(c_0_208,axiom,
! [X3] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),top_to1256827021i_bool)),
file('<stdin>',fact_31_UNIV__I) ).
fof(c_0_209,axiom,
! [X3] : hBOOL(hAPP_f387058535l_bool(member_bool(X3),top_to1647826457l_bool)),
file('<stdin>',fact_30_UNIV__I) ).
fof(c_0_210,axiom,
! [X75,X78] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X75),X78) = X75,
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036) ).
fof(c_0_211,axiom,
! [X75,X78] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X75),X78) = X75,
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029) ).
fof(c_0_212,axiom,
! [X75,X78] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X75),X78) = X75,
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) ).
fof(c_0_213,axiom,
! [X75,X78] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X75),X78) = X75,
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It) ).
fof(c_0_214,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X1)
=> is_bool(hAPP_P2075002375t_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024) ).
fof(c_0_215,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun282293932t_bool(hAPP_f1673487381t_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023) ).
fof(c_0_216,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun432044380l_bool(hAPP_f2056167603l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022) ).
fof(c_0_217,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun917378774i_bool(hAPP_f352490559i_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021) ).
fof(c_0_218,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_Arr625519182e_indi(hAPP_f1659504677e_indi(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__) ).
fof(c_0_219,axiom,
! [X1,X2] :
( is_fun432044380l_bool(X2)
=> is_bool(hAPP_f503012287l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019) ).
fof(c_0_220,axiom,
! [X1,X2] :
( is_fun631676118l_bool(X2)
=> is_bool(hAPP_f213304539l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016) ).
fof(c_0_221,axiom,
! [X1,X2] :
( is_fun631676118l_bool(X1)
=> is_bool(hAPP_f785543729l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012) ).
fof(c_0_222,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X2)
=> is_bool(hAPP_f453661011l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010) ).
fof(c_0_223,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X1)
=> is_bool(hAPP_f1636546729l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005) ).
fof(c_0_224,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X2)
=> is_bool(hAPP_f919661787l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_) ).
fof(c_0_225,axiom,
! [X1,X2] :
( is_fun1016509681e_indi(X1)
=> is_Arr625519182e_indi(hAPP_n385347014e_indi(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi) ).
fof(c_0_226,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun282293932t_bool(hAPP_b1024867081t_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).
fof(c_0_227,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun432044380l_bool(hAPP_b1965422783l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__) ).
fof(c_0_228,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun631676118l_bool(hAPP_b990649139l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___) ).
fof(c_0_229,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun959573582l_bool(hAPP_b1719629739l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).
fof(c_0_230,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun917378774i_bool(hAPP_b1018211123i_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(c_0_231,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_bool(hAPP_bool_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(c_0_232,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun282293932t_bool(hAPP_A1374816149t_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003) ).
fof(c_0_233,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun432044380l_bool(hAPP_A1944296755l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002) ).
fof(c_0_234,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun631676118l_bool(hAPP_A1964572607l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001) ).
fof(c_0_235,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun959573582l_bool(hAPP_A1912483895l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It) ).
fof(c_0_236,axiom,
! [X1,X2] :
( is_Arr553848933le_alt(X2)
=> is_fun282293932t_bool(hAPP_A619995676t_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc) ).
fof(c_0_237,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X1)
=> is_fun1016509681e_indi(hilber1792103167di_nat(X1,X2)) ),
file('<stdin>',gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq) ).
fof(c_0_238,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X1)
=> is_fun432044380l_bool(pi_Pro2135156861t_bool(X1,X2)) ),
file('<stdin>',gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa) ).
fof(c_0_239,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X1)
=> is_fun631676118l_bool(pi_fun433100839t_bool(X1,X2)) ),
file('<stdin>',gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin) ).
fof(c_0_240,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X1)
=> is_fun959573582l_bool(pi_Arr688267935t_bool(X1,X2)) ),
file('<stdin>',gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_) ).
fof(c_0_241,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X2)
=> is_bool(inj_on24934938di_nat(X1,X2)) ),
file('<stdin>',gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc) ).
fof(c_0_242,axiom,
! [X69] : pi_Arr688267935t_bool(X69,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
file('<stdin>',fact_190_Pi__UNIV) ).
fof(c_0_243,axiom,
! [X69] : pi_fun433100839t_bool(X69,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
file('<stdin>',fact_189_Pi__UNIV) ).
fof(c_0_244,axiom,
! [X69] : pi_Pro2135156861t_bool(X69,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
file('<stdin>',fact_188_Pi__UNIV) ).
fof(c_0_245,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
file('<stdin>',fact_117__096Lab_A_058_ALin_096) ).
fof(c_0_246,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
file('<stdin>',fact_116__096Lba_A_058_ALin_096) ).
fof(c_0_247,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
file('<stdin>',fact_3__096P_A_058_AProf_096) ).
fof(c_0_248,axiom,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
file('<stdin>',fact_169_Prof__def) ).
fof(c_0_249,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_P907763049i_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025) ).
fof(c_0_250,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_) ).
fof(c_0_251,axiom,
! [X1,X2] : is_bool(hAPP_f460310451l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje) ).
fof(c_0_252,axiom,
! [X1,X2] : is_bool(hAPP_f526292585l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018) ).
fof(c_0_253,axiom,
! [X1,X2] : is_bool(hAPP_f592909149l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).
fof(c_0_254,axiom,
! [X1,X2] : is_bool(hAPP_f1279200745l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017) ).
fof(c_0_255,axiom,
! [X1,X2] : is_bool(hAPP_f1766869725l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).
fof(c_0_256,axiom,
! [X1,X2] : is_bool(hAPP_f500145249l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015) ).
fof(c_0_257,axiom,
! [X1,X2] : is_bool(hAPP_f234874197l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(c_0_258,axiom,
! [X1,X2] : is_bool(hAPP_f1895985727l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____) ).
fof(c_0_259,axiom,
! [X1,X2] : is_bool(hAPP_f1550037191l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____) ).
fof(c_0_260,axiom,
! [X1,X2] : is_bool(hAPP_f1271180905l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O) ).
fof(c_0_261,axiom,
! [X1,X2] : is_bool(hAPP_f1018082273l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M) ).
fof(c_0_262,axiom,
! [X1,X2] : is_bool(hAPP_f483434675l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014) ).
fof(c_0_263,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_f355113919i_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013) ).
fof(c_0_264,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_f618619045e_indi(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011) ).
fof(c_0_265,axiom,
! [X1,X2] : is_bool(hAPP_f1012384989l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009) ).
fof(c_0_266,axiom,
! [X1,X2] : is_bool(hAPP_f204273237l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O) ).
fof(c_0_267,axiom,
! [X1,X2] : is_bool(hAPP_f387058535l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(c_0_268,axiom,
! [X1,X2] : is_fun432044380l_bool(hAPP_f861484971l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007) ).
fof(c_0_269,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_f749892423i_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006) ).
fof(c_0_270,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004) ).
fof(c_0_271,axiom,
! [X1,X2] : is_bool(hAPP_nat_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).
fof(c_0_272,axiom,
! [X1,X2] : is_fun917378774i_bool(cOMBC_277798809t_bool(X1,X2)),
file('<stdin>',gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__) ).
fof(c_0_273,axiom,
! [X3] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X3)),
file('<stdin>',fact_29_top1I) ).
fof(c_0_274,axiom,
! [X3] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X3)),
file('<stdin>',fact_28_top1I) ).
fof(c_0_275,axiom,
! [X3] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X3)),
file('<stdin>',fact_27_top1I) ).
fof(c_0_276,axiom,
! [X3] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X3)),
file('<stdin>',fact_26_top1I) ).
fof(c_0_277,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X3)),
file('<stdin>',fact_25_top1I) ).
fof(c_0_278,axiom,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
file('<stdin>',fact_95_UNIV__def) ).
fof(c_0_279,axiom,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
file('<stdin>',fact_94_UNIV__def) ).
fof(c_0_280,axiom,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
file('<stdin>',fact_93_UNIV__def) ).
fof(c_0_281,axiom,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
file('<stdin>',fact_92_UNIV__def) ).
fof(c_0_282,axiom,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
file('<stdin>',fact_91_UNIV__def) ).
fof(c_0_283,axiom,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
file('<stdin>',fact_20_injh) ).
fof(c_0_284,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
file('<stdin>',fact_1_u) ).
fof(c_0_285,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
file('<stdin>',fact_0_assms_I3_J) ).
fof(c_0_286,axiom,
! [X1] :
( is_fun282293932t_bool(X1)
=> is_fun282293932t_bool(collec1711870802le_alt(X1)) ),
file('<stdin>',gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O) ).
fof(c_0_287,axiom,
! [X1] :
( is_fun432044380l_bool(X1)
=> is_fun432044380l_bool(collec874260222t_bool(X1)) ),
file('<stdin>',gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(c_0_288,axiom,
! [X1] :
( is_fun631676118l_bool(X1)
=> is_fun631676118l_bool(collec1520786044t_bool(X1)) ),
file('<stdin>',gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx) ).
fof(c_0_289,axiom,
! [X1] :
( is_fun959573582l_bool(X1)
=> is_fun959573582l_bool(collec1580242420t_bool(X1)) ),
file('<stdin>',gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi) ).
fof(c_0_290,axiom,
! [X1] :
( is_fun917378774i_bool(X1)
=> is_fun917378774i_bool(collec45183100e_indi(X1)) ),
file('<stdin>',gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).
fof(c_0_291,axiom,
! [X8] :
( is_fun917378774i_bool(X8)
=> collec45183100e_indi(X8) = X8 ),
file('<stdin>',fact_126_Collect__def) ).
fof(c_0_292,axiom,
! [X75] :
( is_bool(X75)
=> ( X75 = fTrue
| X75 = fFalse ) ),
file('<stdin>',help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(c_0_293,axiom,
! [X75] :
( is_bool(X75)
=> ( X75 = fTrue
| X75 = fFalse ) ),
file('<stdin>',help_fTrue_1_1_T) ).
fof(c_0_294,axiom,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
file('<stdin>',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).
fof(c_0_295,axiom,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
file('<stdin>',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt) ).
fof(c_0_296,axiom,
hBOOL(fTrue),
file('<stdin>',help_fTrue_1_1_U) ).
fof(c_0_297,axiom,
is_Arr553848933le_alt(e),
file('<stdin>',gsy_v_e____) ).
fof(c_0_298,axiom,
is_Arr553848933le_alt(b),
file('<stdin>',gsy_v_b____) ).
fof(c_0_299,axiom,
is_Arr553848933le_alt(a),
file('<stdin>',gsy_v_a____) ).
fof(c_0_300,axiom,
is_fun282293932t_bool(lba),
file('<stdin>',gsy_v_Lba____) ).
fof(c_0_301,axiom,
is_fun282293932t_bool(lab),
file('<stdin>',gsy_v_Lab____) ).
fof(c_0_302,axiom,
is_bool(fTrue),
file('<stdin>',gsy_c_fTrue) ).
fof(c_0_303,axiom,
is_bool(fFalse),
file('<stdin>',gsy_c_fFalse) ).
fof(c_0_304,axiom,
is_fun282293932t_bool(top_to2034604131t_bool),
file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir) ).
fof(c_0_305,axiom,
is_fun432044380l_bool(top_to2005687013l_bool),
file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord) ).
fof(c_0_306,axiom,
is_fun631676118l_bool(top_to40512653l_bool),
file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde) ).
fof(c_0_307,axiom,
is_fun959573582l_bool(top_to1194196741l_bool),
file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira) ).
fof(c_0_308,axiom,
is_fun917378774i_bool(top_to1256827021i_bool),
file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____) ).
fof(c_0_309,axiom,
is_bool(top_top_bool),
file('<stdin>',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).
fof(c_0_310,axiom,
is_fun631676118l_bool(arrow_467566751nimity),
file('<stdin>',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity) ).
fof(c_0_311,axiom,
is_fun959573582l_bool(arrow_413697182e_Prof),
file('<stdin>',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf) ).
fof(c_0_312,axiom,
is_fun432044380l_bool(arrow_1239002508le_Lin),
file('<stdin>',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin) ).
fof(c_0_313,axiom,
is_fun631676118l_bool(arrow_1212118780le_IIA),
file('<stdin>',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA) ).
fof(c_0_314,axiom,
a != b,
file('<stdin>',fact_193__096a_A_126_061_Ab_096) ).
fof(c_0_315,axiom,
c != d,
file('<stdin>',fact_2__096c_A_126_061_Ad_096) ).
fof(c_0_316,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( X11 != X10
=> ( X12 != X9
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ) ),
c_0_0 ).
fof(c_0_317,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( X11 != X10
=> ( X12 != X9
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ) ),
c_0_1 ).
fof(c_0_318,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ),
c_0_2 ).
fof(c_0_319,axiom,
! [X22] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X22))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X24] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X24),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X24,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X24))) ) ) ) ) ) ),
c_0_3 ).
fof(c_0_320,axiom,
! [X7,X8,X14,X11,X12] :
( ( is_Arr553848933le_alt(X14)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X12 != X14
=> ( X11 != X14
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X14)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X14)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ),
c_0_4 ).
fof(c_0_321,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)))) ),
c_0_5 ).
fof(c_0_322,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)))))) ),
c_0_6 ).
fof(c_0_323,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)))))),
c_0_7 ).
fof(c_0_324,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)))))),
c_0_8 ).
fof(c_0_325,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)))))),
c_0_9 ).
fof(c_0_326,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)),
c_0_10 ).
fof(c_0_327,axiom,
! [X7,X8,X11,X12] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ),
c_0_11 ).
fof(c_0_328,axiom,
! [X22] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X22))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X13))) )
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23))) ) ) ) ),
c_0_12 ).
fof(c_0_329,plain,
! [X13] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X13)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> ( ( hAPP_A588601142di_nat(h,X13) = 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,X13)),c),e))) )
& ( hAPP_A588601142di_nat(h,X13) != n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X13)),e))) ) ) ) )
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),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,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_330,plain,
! [X13] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X13)))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X13)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> ( ( hAPP_A588601142di_nat(h,X13) = 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,X13)),c),e))) )
& ( hAPP_A588601142di_nat(h,X13) != n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X13)),e))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_331,axiom,
! [X74] : 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),X74)),lab),lba)),arrow_413697182e_Prof)),
c_0_15 ).
fof(c_0_332,axiom,
! [X66,X67] :
( ( is_fun282293932t_bool(X66)
& is_fun282293932t_bool(X67) )
=> ( ! [X23,X24] :
( ( is_Arr553848933le_alt(X23)
& is_Arr553848933le_alt(X24) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X23,X24)),X67))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X23,X24)),X66)) ) )
<=> X67 = X66 ) ),
c_0_16 ).
fof(c_0_333,axiom,
! [X72,X22] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X22),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
=> ( ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( X16 != X17
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X72)))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23))) ) ) ) )
=> hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X22),X72)) ) ),
c_0_17 ).
fof(c_0_334,axiom,
! [X3,X4,X5,X11,X12] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X11),X12)))
<=> ( X3 != X4
& ( X3 = X12
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X4)),X5)) )
& ( X3 != X12
=> ( ( X4 = X12
=> ( X3 = X11
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X11)),X5)) ) )
& ( X4 != X12
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ) ) ) ) ),
c_0_18 ).
fof(c_0_335,axiom,
! [X5,X3,X4] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4) )
=> ( X3 != X4
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X3),X4)),arrow_1239002508le_Lin)) ) ) ),
c_0_19 ).
fof(c_0_336,axiom,
! [X3,X4,X5,X6] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X6) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X5),X6)))
<=> ( X3 != X6
& ( X4 = X6
=> X3 != X4 )
& ( X4 != X6
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ),
c_0_20 ).
fof(c_0_337,axiom,
! [X3,X4,X5,X6] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X6) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X5),X6)))
<=> ( X4 != X6
& ( X3 = X6
=> X3 != X4 )
& ( X3 != X6
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ),
c_0_21 ).
fof(c_0_338,plain,
! [X3,X4,X5] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4) )
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( X3 != X4
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_339,plain,
! [X11,X12,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),X5))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),X5)) ) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_340,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),X73)) ) ),
c_0_24 ).
fof(c_0_341,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),X73)) ) ),
c_0_25 ).
fof(c_0_342,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),X73)) ) ),
c_0_26 ).
fof(c_0_343,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),X73)) ) ),
c_0_27 ).
fof(c_0_344,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),X73)) ) ),
c_0_28 ).
fof(c_0_345,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),X73)) ) ),
c_0_29 ).
fof(c_0_346,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),X73)) ) ),
c_0_30 ).
fof(c_0_347,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),X73)) ) ),
c_0_31 ).
fof(c_0_348,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),X73)) ) ),
c_0_32 ).
fof(c_0_349,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X73))))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),X73)) ) ),
c_0_33 ).
fof(c_0_350,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X73))))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),X73)) ) ),
c_0_34 ).
fof(c_0_351,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X73))))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),X73)) ) ),
c_0_35 ).
fof(c_0_352,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X73))))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),X73)) ) ),
c_0_36 ).
fof(c_0_353,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),X73)) ) ),
c_0_37 ).
fof(c_0_354,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),X73)) ) ),
c_0_38 ).
fof(c_0_355,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X73))))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),X73)) ) ),
c_0_39 ).
fof(c_0_356,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X73))))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),X73)) ) ),
c_0_40 ).
fof(c_0_357,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)))),
c_0_41 ).
fof(c_0_358,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),hAPP_A1944296755l_bool(X73,X3))) ) ),
c_0_42 ).
fof(c_0_359,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),hAPP_f861484971l_bool(X73,X3))) ) ),
c_0_43 ).
fof(c_0_360,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),hAPP_b1965422783l_bool(X73,X3))) ) ),
c_0_44 ).
fof(c_0_361,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),hAPP_b990649139l_bool(X73,X3))) ) ),
c_0_45 ).
fof(c_0_362,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),hAPP_A1964572607l_bool(X73,X3))) ) ),
c_0_46 ).
fof(c_0_363,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),hAPP_b1719629739l_bool(X73,X3))) ) ),
c_0_47 ).
fof(c_0_364,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),hAPP_A1912483895l_bool(X73,X3))) ) ),
c_0_48 ).
fof(c_0_365,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),hAPP_b1024867081t_bool(X73,X3))) ) ),
c_0_49 ).
fof(c_0_366,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),hAPP_A1374816149t_bool(X73,X3))) ) ),
c_0_50 ).
fof(c_0_367,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,X73)))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),hAPP_f417299659l_bool(X73,X3))) ) ),
c_0_51 ).
fof(c_0_368,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,X73)))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),hAPP_f352490559i_bool(X73,X3))) ) ),
c_0_52 ).
fof(c_0_369,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,X73)))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),hAPP_f497468491l_bool(X73,X3))) ) ),
c_0_53 ).
fof(c_0_370,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,X73)))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),hAPP_f355113919i_bool(X73,X3))) ) ),
c_0_54 ).
fof(c_0_371,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),hAPP_f313042899l_bool(X73,X3))) ) ),
c_0_55 ).
fof(c_0_372,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),hAPP_f749892423i_bool(X73,X3))) ) ),
c_0_56 ).
fof(c_0_373,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,X73)))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),hAPP_P907763049i_bool(X73,X3))) ) ),
c_0_57 ).
fof(c_0_374,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,X73)))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),hAPP_P2127852789l_bool(X73,X3))) ) ),
c_0_58 ).
fof(c_0_375,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),hAPP_A1944296755l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_376,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),hAPP_f861484971l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_377,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),hAPP_f417299659l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_378,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),hAPP_f352490559i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_379,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),hAPP_f497468491l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_380,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),hAPP_f355113919i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_381,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),hAPP_f313042899l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_382,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),hAPP_f749892423i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_383,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),hAPP_P907763049i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_384,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),hAPP_b1965422783l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_385,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),hAPP_b990649139l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_386,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),hAPP_A1964572607l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_387,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),hAPP_b1719629739l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_388,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),hAPP_A1912483895l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_389,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,X73)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),hAPP_b1024867081t_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_390,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,X73)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),hAPP_A1374816149t_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_391,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),hAPP_P2127852789l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_392,axiom,
! [X3,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X5),X3)),arrow_1239002508le_Lin)) ),
c_0_76 ).
fof(c_0_393,axiom,
! [X3,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X5),X3)),arrow_1239002508le_Lin)) ),
c_0_77 ).
fof(c_0_394,axiom,
! [X32,X33,X34] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X34))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X32))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X32)) ) ),
c_0_78 ).
fof(c_0_395,axiom,
! [X6,X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X6))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X6)) ) ),
c_0_79 ).
fof(c_0_396,axiom,
! [X29,X30,X31] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X30),X31))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X30))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X31)) ) ),
c_0_80 ).
fof(c_0_397,axiom,
! [X6,X4,X3] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X4))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X3)) ) ),
c_0_81 ).
fof(c_0_398,axiom,
! [X8,X3,X4] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
=> hBOOL(X8) ) ),
c_0_82 ).
fof(c_0_399,axiom,
! [X8,X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3))
=> hBOOL(X8) ) ),
c_0_83 ).
fof(c_0_400,axiom,
! [X3,X4,X68,X69] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> X3 = X4 ) ) ) ) ),
c_0_84 ).
fof(c_0_401,axiom,
! [X4,X3,X68,X69] :
( ( is_Arr625519182e_indi(X4)
& is_Arr625519182e_indi(X3) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
<=> X3 = X4 ) ) ) ) ),
c_0_85 ).
fof(c_0_402,axiom,
! [X3,X4,X68,X69] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( X3 != X4
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> hAPP_A588601142di_nat(X68,X3) != hAPP_A588601142di_nat(X68,X4) ) ) ) ) ),
c_0_86 ).
fof(c_0_403,axiom,
! [X68,X69] :
( hBOOL(inj_on24934938di_nat(X68,X69))
<=> ! [X23] :
( is_Arr625519182e_indi(X23)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X23),X69))
=> ! [X24] :
( is_Arr625519182e_indi(X24)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X24),X69))
=> ( hAPP_A588601142di_nat(X68,X23) = hAPP_A588601142di_nat(X68,X24)
=> X23 = X24 ) ) ) ) ) ),
c_0_87 ).
fof(c_0_404,plain,
! [X3,X4] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
| X3 = X4 ) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_405,plain,
! [X57,X58] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X57),X58))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X57)) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_406,plain,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_407,plain,
! [X55,X56] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X56))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X56),X55)) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_408,plain,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_409,plain,
! [X49,X50] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X49),X50))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X49)) ),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_410,plain,
! [X11,X12] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11)) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_411,plain,
! [X47,X48] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X47),X48))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X48),X47)) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_412,plain,
! [X12,X11] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12)) ),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_413,plain,
! [X27,X28] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X27),X28))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X28),X27)) ),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_414,plain,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_415,axiom,
! [X8] :
( ! [X15] : hBOOL(hAPP_P2075002375t_bool(X8,X15))
<=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> hBOOL(hAPP_P2075002375t_bool(X8,produc171383831le_alt(X16,X17))) ) ),
c_0_99 ).
fof(c_0_416,axiom,
! [X70,X68] :
( is_fun1016509681e_indi(X70)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( ! [X23] : hAPP_A588601142di_nat(X68,hAPP_n385347014e_indi(X70,X23)) = X23
=> hilber1792103167di_nat(top_to1256827021i_bool,X68) = X70 ) ) ),
c_0_100 ).
fof(c_0_417,axiom,
! [X22,X72] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X22),X72))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> hAPP_f695124765t_bool(X22,X23) = hAPP_A1374816149t_bool(X23,X72) ) ),
c_0_101 ).
fof(c_0_418,axiom,
! [X11,X12] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ? [X23] :
( is_fun282293932t_bool(X23)
& hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X23),arrow_1239002508le_Lin))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),X23)) ) ) ),
c_0_102 ).
fof(c_0_419,plain,
! [X4,X3] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
<=> X3 = X4 ) ),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_420,axiom,
! [X44,X45,X46] :
( X45 = X46
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X46),X44))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X45),X44)) ) ),
c_0_104 ).
fof(c_0_421,axiom,
! [X14,X11,X12] :
( X11 = X12
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X14))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X14)) ) ),
c_0_105 ).
fof(c_0_422,axiom,
! [X41,X42,X43] :
( X42 = X43
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X41),X43))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X41),X42)) ) ),
c_0_106 ).
fof(c_0_423,axiom,
! [X14,X11,X12] :
( X11 = X12
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X14),X12))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X14),X11)) ) ),
c_0_107 ).
fof(c_0_424,axiom,
! [X38,X39,X40] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X39),X40))
=> ( X40 = X38
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X39),X38)) ) ),
c_0_108 ).
fof(c_0_425,axiom,
! [X14,X11,X12] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12))
=> ( X12 = X14
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X14)) ) ),
c_0_109 ).
fof(c_0_426,axiom,
! [X35,X36,X37] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X36),X37))
=> ( X36 = X35
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X35),X37)) ) ),
c_0_110 ).
fof(c_0_427,axiom,
! [X14,X12,X11] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11))
=> ( X12 = X14
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X14),X11)) ) ),
c_0_111 ).
fof(c_0_428,axiom,
! [X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X5)),arrow_413697182e_Prof)) ),
c_0_112 ).
fof(c_0_429,axiom,
! [X3,X68,X69] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hAPP_n385347014e_indi(hilber1792103167di_nat(X69,X68),hAPP_A588601142di_nat(X68,X3)) = X3 ) ) ),
c_0_113 ).
fof(c_0_430,axiom,
! [X4,X3,X68,X69] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hAPP_A588601142di_nat(X68,X3) = X4
=> hAPP_n385347014e_indi(hilber1792103167di_nat(X69,X68),X4) = X3 ) ) ) ),
c_0_114 ).
fof(c_0_431,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_432,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_433,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
c_0_117 ).
fof(c_0_434,axiom,
! [X3,X4] :
( X3 != X4
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3)) ) ),
c_0_118 ).
fof(c_0_435,axiom,
! [X63,X64] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X64))
| X63 = X64
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X64),X63)) ),
c_0_119 ).
fof(c_0_436,plain,
! [X61,X62] :
( X61 != X62
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X62))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X61)) ) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_437,plain,
! [X25,X26] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X25),X26))
=> ( X25 != X26
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X25)) ) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_438,axiom,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
c_0_122 ).
fof(c_0_439,axiom,
! [X11] :
( ~ ( hBOOL(X11)
<=> hBOOL(top_top_bool) )
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X11),top_top_bool)) ),
c_0_123 ).
fof(c_0_440,axiom,
! [X11] :
( is_fun917378774i_bool(X11)
=> ( X11 != top_to1256827021i_bool
<=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),top_to1256827021i_bool)) ) ),
c_0_124 ).
fof(c_0_441,axiom,
! [X11] :
( is_fun282293932t_bool(X11)
=> ( X11 != top_to2034604131t_bool
<=> hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X11),top_to2034604131t_bool)) ) ),
c_0_125 ).
fof(c_0_442,axiom,
! [X11] :
( is_fun631676118l_bool(X11)
=> ( X11 != top_to40512653l_bool
<=> hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X11),top_to40512653l_bool)) ) ),
c_0_126 ).
fof(c_0_443,axiom,
! [X11] :
( is_fun959573582l_bool(X11)
=> ( X11 != top_to1194196741l_bool
<=> hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X11),top_to1194196741l_bool)) ) ),
c_0_127 ).
fof(c_0_444,axiom,
! [X11] :
( is_fun432044380l_bool(X11)
=> ( X11 != top_to2005687013l_bool
<=> hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X11),top_to2005687013l_bool)) ) ),
c_0_128 ).
fof(c_0_445,axiom,
! [X59,X60] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X59),X60))
=> X59 != X60 ),
c_0_129 ).
fof(c_0_446,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X3 != X4 ),
c_0_130 ).
fof(c_0_447,axiom,
! [X53,X54] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X54))
=> X53 != X54 ),
c_0_131 ).
fof(c_0_448,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X3 != X4 ),
c_0_132 ).
fof(c_0_449,axiom,
! [X51,X52] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X51),X52))
=> X52 != X51 ),
c_0_133 ).
fof(c_0_450,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X4 != X3 ),
c_0_134 ).
fof(c_0_451,plain,
! [X76,X77] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X76),X77))
| X76 = X77 ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_452,plain,
! [X65] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X65),X65)),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_453,plain,
! [X3] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X3)),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_454,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
c_0_138 ).
fof(c_0_455,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
c_0_139 ).
fof(c_0_456,axiom,
! [X3,X68] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X68),hAPP_A588601142di_nat(X68,X3)) = X3 ) ),
c_0_140 ).
fof(c_0_457,axiom,
! [X3,X4,X68] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = X4
=> hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X68),X4) = X3 ) ) ),
c_0_141 ).
fof(c_0_458,plain,
! [X11] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X11)),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_459,plain,
! [X11] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X11)),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_460,plain,
! [X11] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X11)),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_461,plain,
! [X11] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X11)),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_462,plain,
! [X11] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X11)),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_463,plain,
! [X11] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X11)),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_464,axiom,
! [X75,X78,X79] : hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X75,X78),X79) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X75,X79),hAPP_A1374816149t_bool(X78,X79)),
c_0_148 ).
fof(c_0_465,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X75,X78),X79) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X75,X79),hAPP_A1374816149t_bool(X78,X79)),
c_0_149 ).
fof(c_0_466,axiom,
! [X3,X4,X68] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
=> X3 = X4 ) ) ),
c_0_150 ).
fof(c_0_467,axiom,
! [X3,X4,X68] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
<=> X3 = X4 ) ) ),
c_0_151 ).
fof(c_0_468,axiom,
! [X3,X69] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
<=> hBOOL(hAPP_f745298353l_bool(X69,X3)) ),
c_0_152 ).
fof(c_0_469,axiom,
! [X3,X69] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
<=> hBOOL(hAPP_f785543729l_bool(X69,X3)) ),
c_0_153 ).
fof(c_0_470,axiom,
! [X3,X69] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
<=> hBOOL(hAPP_f1636546729l_bool(X69,X3)) ),
c_0_154 ).
fof(c_0_471,axiom,
! [X3,X69] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
<=> hBOOL(hAPP_P2075002375t_bool(X69,X3)) ),
c_0_155 ).
fof(c_0_472,axiom,
! [X3,X69] :
( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
<=> hBOOL(hAPP_bool_bool(X69,X3)) ),
c_0_156 ).
fof(c_0_473,axiom,
! [X3,X69] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
<=> hBOOL(hAPP_A1466488369i_bool(X69,X3)) ),
c_0_157 ).
fof(c_0_474,axiom,
! [X76,X77] :
( is_fun282293932t_bool(X77)
=> hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X76),X77) = X77 ),
c_0_158 ).
fof(c_0_475,axiom,
! [X76,X77] :
( is_fun282293932t_bool(X76)
=> hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X76),X77) = X76 ),
c_0_159 ).
fof(c_0_476,axiom,
! [X75,X78,X79] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(X75,X78),X79) = hAPP_b1915039793t_bool(X75,hAPP_A1466488369i_bool(X78,X79)),
c_0_160 ).
fof(c_0_477,axiom,
! [X75,X78,X79] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X75,X78),X79) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X75,X79),X78),
c_0_161 ).
fof(c_0_478,axiom,
! [X75,X78,X79] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(X75,X78),X79) = hAPP_f1336478923t_bool(X75,hAPP_A1374816149t_bool(X78,X79)),
c_0_162 ).
fof(c_0_479,axiom,
! [X75,X78,X79] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X75,X78),X79) = hAPP_f1290184496t_bool(X75,hAPP_A1374816149t_bool(X78,X79)),
c_0_163 ).
fof(c_0_480,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X75,X78),X79) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X75,X79),X78),
c_0_164 ).
fof(c_0_481,axiom,
! [X75,X78,X79] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(X75,X78),X79) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X75,X79),X78),
c_0_165 ).
fof(c_0_482,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X75,X78),X79) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X75,X79),X78),
c_0_166 ).
fof(c_0_483,axiom,
! [X75,X78,X79] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X75,X78),X79) = hAPP_n1699378549t_bool(X75,hAPP_A588601142di_nat(X78,X79)),
c_0_167 ).
fof(c_0_484,axiom,
! [X75,X78,X79] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X75,X78),X79) = hAPP_nat_bool(hAPP_A1922697556t_bool(X75,X79),X78),
c_0_168 ).
fof(c_0_485,axiom,
! [X76,X77] :
( X76 != X77
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X76),X77)) ),
c_0_169 ).
fof(c_0_486,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
c_0_170 ).
fof(c_0_487,axiom,
! [X11,X12,X9,X10] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12)
& is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10) )
=> ( produc171383831le_alt(X11,X12) = produc171383831le_alt(X9,X10)
<=> ( X11 = X9
& X12 = X10 ) ) ),
c_0_171 ).
fof(c_0_488,axiom,
! [X18,X19,X20,X21] :
( ( is_Arr553848933le_alt(X18)
& is_Arr553848933le_alt(X19)
& is_Arr553848933le_alt(X20)
& is_Arr553848933le_alt(X21) )
=> ( produc171383831le_alt(X18,X19) = produc171383831le_alt(X20,X21)
=> ~ ( X18 = X20
=> X19 != X21 ) ) ),
c_0_172 ).
fof(c_0_489,axiom,
! [X68] :
( ! [X23,X71] :
( ( is_Arr625519182e_indi(X23)
& is_Arr625519182e_indi(X71) )
=> ( hAPP_A588601142di_nat(X68,X23) = hAPP_A588601142di_nat(X68,X71)
=> X23 = X71 ) )
=> hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool)) ),
c_0_173 ).
fof(c_0_490,axiom,
! [X3] :
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X3))
<=> hBOOL(top_top_bool) ),
c_0_174 ).
fof(c_0_491,axiom,
! [X3] :
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X3))
<=> hBOOL(top_top_bool) ),
c_0_175 ).
fof(c_0_492,axiom,
! [X3] :
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X3))
<=> hBOOL(top_top_bool) ),
c_0_176 ).
fof(c_0_493,axiom,
! [X3] :
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X3))
<=> hBOOL(top_top_bool) ),
c_0_177 ).
fof(c_0_494,axiom,
! [X3] :
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X3))
<=> hBOOL(top_top_bool) ),
c_0_178 ).
fof(c_0_495,axiom,
! [X75,X78] :
( is_fun631676118l_bool(X75)
=> hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X75),X78) = X75 ),
c_0_179 ).
fof(c_0_496,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X75),X78) = X75 ),
c_0_180 ).
fof(c_0_497,axiom,
! [X75,X78] :
( is_fun631676118l_bool(X75)
=> hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X75),X78) = X75 ),
c_0_181 ).
fof(c_0_498,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X75),X78) = X75 ),
c_0_182 ).
fof(c_0_499,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X75),X78) = X75 ),
c_0_183 ).
fof(c_0_500,axiom,
! [X75,X78] :
( is_fun959573582l_bool(X75)
=> hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X75),X78) = X75 ),
c_0_184 ).
fof(c_0_501,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X75),X78) = X75 ),
c_0_185 ).
fof(c_0_502,axiom,
! [X75,X78] :
( is_fun959573582l_bool(X75)
=> hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X75),X78) = X75 ),
c_0_186 ).
fof(c_0_503,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X75),X78) = X75 ),
c_0_187 ).
fof(c_0_504,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X75),X78) = X75 ),
c_0_188 ).
fof(c_0_505,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X75),X78) = X75 ),
c_0_189 ).
fof(c_0_506,axiom,
! [X75,X78] :
( is_fun282293932t_bool(X75)
=> hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X75),X78) = X75 ),
c_0_190 ).
fof(c_0_507,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X75),X78) = X75 ),
c_0_191 ).
fof(c_0_508,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X75),X78) = X75 ),
c_0_192 ).
fof(c_0_509,axiom,
! [X75,X78] :
( is_fun282293932t_bool(X75)
=> hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X75),X78) = X75 ),
c_0_193 ).
fof(c_0_510,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X75),X78) = X75 ),
c_0_194 ).
fof(c_0_511,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X75),X78) = X75 ),
c_0_195 ).
fof(c_0_512,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X75),X78) = X75 ),
c_0_196 ).
fof(c_0_513,axiom,
! [X1,X2] :
( ( is_fun917378774i_bool(X1)
& is_Arr625519182e_indi(X2) )
=> is_bool(hAPP_A1466488369i_bool(X1,X2)) ),
c_0_197 ).
fof(c_0_514,axiom,
! [X3] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),top_to2005687013l_bool)),
c_0_198 ).
fof(c_0_515,axiom,
! [X3] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),top_to40512653l_bool)),
c_0_199 ).
fof(c_0_516,axiom,
! [X3] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),top_to1194196741l_bool)),
c_0_200 ).
fof(c_0_517,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),top_to2034604131t_bool)),
c_0_201 ).
fof(c_0_518,axiom,
! [X3] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),top_to1256827021i_bool)),
c_0_202 ).
fof(c_0_519,axiom,
! [X3] : hBOOL(hAPP_f387058535l_bool(member_bool(X3),top_to1647826457l_bool)),
c_0_203 ).
fof(c_0_520,axiom,
! [X3] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),top_to2005687013l_bool)),
c_0_204 ).
fof(c_0_521,axiom,
! [X3] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),top_to40512653l_bool)),
c_0_205 ).
fof(c_0_522,axiom,
! [X3] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),top_to1194196741l_bool)),
c_0_206 ).
fof(c_0_523,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),top_to2034604131t_bool)),
c_0_207 ).
fof(c_0_524,axiom,
! [X3] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),top_to1256827021i_bool)),
c_0_208 ).
fof(c_0_525,axiom,
! [X3] : hBOOL(hAPP_f387058535l_bool(member_bool(X3),top_to1647826457l_bool)),
c_0_209 ).
fof(c_0_526,axiom,
! [X75,X78] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X75),X78) = X75,
c_0_210 ).
fof(c_0_527,axiom,
! [X75,X78] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X75),X78) = X75,
c_0_211 ).
fof(c_0_528,axiom,
! [X75,X78] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X75),X78) = X75,
c_0_212 ).
fof(c_0_529,axiom,
! [X75,X78] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X75),X78) = X75,
c_0_213 ).
fof(c_0_530,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X1)
=> is_bool(hAPP_P2075002375t_bool(X1,X2)) ),
c_0_214 ).
fof(c_0_531,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun282293932t_bool(hAPP_f1673487381t_bool(X1,X2)) ),
c_0_215 ).
fof(c_0_532,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun432044380l_bool(hAPP_f2056167603l_bool(X1,X2)) ),
c_0_216 ).
fof(c_0_533,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun917378774i_bool(hAPP_f352490559i_bool(X1,X2)) ),
c_0_217 ).
fof(c_0_534,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_Arr625519182e_indi(hAPP_f1659504677e_indi(X1,X2)) ),
c_0_218 ).
fof(c_0_535,axiom,
! [X1,X2] :
( is_fun432044380l_bool(X2)
=> is_bool(hAPP_f503012287l_bool(X1,X2)) ),
c_0_219 ).
fof(c_0_536,axiom,
! [X1,X2] :
( is_fun631676118l_bool(X2)
=> is_bool(hAPP_f213304539l_bool(X1,X2)) ),
c_0_220 ).
fof(c_0_537,axiom,
! [X1,X2] :
( is_fun631676118l_bool(X1)
=> is_bool(hAPP_f785543729l_bool(X1,X2)) ),
c_0_221 ).
fof(c_0_538,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X2)
=> is_bool(hAPP_f453661011l_bool(X1,X2)) ),
c_0_222 ).
fof(c_0_539,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X1)
=> is_bool(hAPP_f1636546729l_bool(X1,X2)) ),
c_0_223 ).
fof(c_0_540,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X2)
=> is_bool(hAPP_f919661787l_bool(X1,X2)) ),
c_0_224 ).
fof(c_0_541,axiom,
! [X1,X2] :
( is_fun1016509681e_indi(X1)
=> is_Arr625519182e_indi(hAPP_n385347014e_indi(X1,X2)) ),
c_0_225 ).
fof(c_0_542,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun282293932t_bool(hAPP_b1024867081t_bool(X1,X2)) ),
c_0_226 ).
fof(c_0_543,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun432044380l_bool(hAPP_b1965422783l_bool(X1,X2)) ),
c_0_227 ).
fof(c_0_544,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun631676118l_bool(hAPP_b990649139l_bool(X1,X2)) ),
c_0_228 ).
fof(c_0_545,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun959573582l_bool(hAPP_b1719629739l_bool(X1,X2)) ),
c_0_229 ).
fof(c_0_546,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun917378774i_bool(hAPP_b1018211123i_bool(X1,X2)) ),
c_0_230 ).
fof(c_0_547,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_bool(hAPP_bool_bool(X1,X2)) ),
c_0_231 ).
fof(c_0_548,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun282293932t_bool(hAPP_A1374816149t_bool(X1,X2)) ),
c_0_232 ).
fof(c_0_549,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun432044380l_bool(hAPP_A1944296755l_bool(X1,X2)) ),
c_0_233 ).
fof(c_0_550,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun631676118l_bool(hAPP_A1964572607l_bool(X1,X2)) ),
c_0_234 ).
fof(c_0_551,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun959573582l_bool(hAPP_A1912483895l_bool(X1,X2)) ),
c_0_235 ).
fof(c_0_552,axiom,
! [X1,X2] :
( is_Arr553848933le_alt(X2)
=> is_fun282293932t_bool(hAPP_A619995676t_bool(X1,X2)) ),
c_0_236 ).
fof(c_0_553,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X1)
=> is_fun1016509681e_indi(hilber1792103167di_nat(X1,X2)) ),
c_0_237 ).
fof(c_0_554,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X1)
=> is_fun432044380l_bool(pi_Pro2135156861t_bool(X1,X2)) ),
c_0_238 ).
fof(c_0_555,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X1)
=> is_fun631676118l_bool(pi_fun433100839t_bool(X1,X2)) ),
c_0_239 ).
fof(c_0_556,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X1)
=> is_fun959573582l_bool(pi_Arr688267935t_bool(X1,X2)) ),
c_0_240 ).
fof(c_0_557,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X2)
=> is_bool(inj_on24934938di_nat(X1,X2)) ),
c_0_241 ).
fof(c_0_558,axiom,
! [X69] : pi_Arr688267935t_bool(X69,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
c_0_242 ).
fof(c_0_559,axiom,
! [X69] : pi_fun433100839t_bool(X69,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
c_0_243 ).
fof(c_0_560,axiom,
! [X69] : pi_Pro2135156861t_bool(X69,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
c_0_244 ).
fof(c_0_561,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
c_0_245 ).
fof(c_0_562,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
c_0_246 ).
fof(c_0_563,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
c_0_247 ).
fof(c_0_564,axiom,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
c_0_248 ).
fof(c_0_565,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_P907763049i_bool(X1,X2)),
c_0_249 ).
fof(c_0_566,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(X1,X2)),
c_0_250 ).
fof(c_0_567,axiom,
! [X1,X2] : is_bool(hAPP_f460310451l_bool(X1,X2)),
c_0_251 ).
fof(c_0_568,axiom,
! [X1,X2] : is_bool(hAPP_f526292585l_bool(X1,X2)),
c_0_252 ).
fof(c_0_569,axiom,
! [X1,X2] : is_bool(hAPP_f592909149l_bool(X1,X2)),
c_0_253 ).
fof(c_0_570,axiom,
! [X1,X2] : is_bool(hAPP_f1279200745l_bool(X1,X2)),
c_0_254 ).
fof(c_0_571,axiom,
! [X1,X2] : is_bool(hAPP_f1766869725l_bool(X1,X2)),
c_0_255 ).
fof(c_0_572,axiom,
! [X1,X2] : is_bool(hAPP_f500145249l_bool(X1,X2)),
c_0_256 ).
fof(c_0_573,axiom,
! [X1,X2] : is_bool(hAPP_f234874197l_bool(X1,X2)),
c_0_257 ).
fof(c_0_574,axiom,
! [X1,X2] : is_bool(hAPP_f1895985727l_bool(X1,X2)),
c_0_258 ).
fof(c_0_575,axiom,
! [X1,X2] : is_bool(hAPP_f1550037191l_bool(X1,X2)),
c_0_259 ).
fof(c_0_576,axiom,
! [X1,X2] : is_bool(hAPP_f1271180905l_bool(X1,X2)),
c_0_260 ).
fof(c_0_577,axiom,
! [X1,X2] : is_bool(hAPP_f1018082273l_bool(X1,X2)),
c_0_261 ).
fof(c_0_578,axiom,
! [X1,X2] : is_bool(hAPP_f483434675l_bool(X1,X2)),
c_0_262 ).
fof(c_0_579,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_f355113919i_bool(X1,X2)),
c_0_263 ).
fof(c_0_580,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_f618619045e_indi(X1,X2)),
c_0_264 ).
fof(c_0_581,axiom,
! [X1,X2] : is_bool(hAPP_f1012384989l_bool(X1,X2)),
c_0_265 ).
fof(c_0_582,axiom,
! [X1,X2] : is_bool(hAPP_f204273237l_bool(X1,X2)),
c_0_266 ).
fof(c_0_583,axiom,
! [X1,X2] : is_bool(hAPP_f387058535l_bool(X1,X2)),
c_0_267 ).
fof(c_0_584,axiom,
! [X1,X2] : is_fun432044380l_bool(hAPP_f861484971l_bool(X1,X2)),
c_0_268 ).
fof(c_0_585,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_f749892423i_bool(X1,X2)),
c_0_269 ).
fof(c_0_586,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(X1,X2)),
c_0_270 ).
fof(c_0_587,axiom,
! [X1,X2] : is_bool(hAPP_nat_bool(X1,X2)),
c_0_271 ).
fof(c_0_588,axiom,
! [X1,X2] : is_fun917378774i_bool(cOMBC_277798809t_bool(X1,X2)),
c_0_272 ).
fof(c_0_589,axiom,
! [X3] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X3)),
c_0_273 ).
fof(c_0_590,axiom,
! [X3] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X3)),
c_0_274 ).
fof(c_0_591,axiom,
! [X3] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X3)),
c_0_275 ).
fof(c_0_592,axiom,
! [X3] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X3)),
c_0_276 ).
fof(c_0_593,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X3)),
c_0_277 ).
fof(c_0_594,axiom,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
c_0_278 ).
fof(c_0_595,axiom,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
c_0_279 ).
fof(c_0_596,axiom,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
c_0_280 ).
fof(c_0_597,axiom,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
c_0_281 ).
fof(c_0_598,axiom,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
c_0_282 ).
fof(c_0_599,axiom,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
c_0_283 ).
fof(c_0_600,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
c_0_284 ).
fof(c_0_601,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
c_0_285 ).
fof(c_0_602,axiom,
! [X1] :
( is_fun282293932t_bool(X1)
=> is_fun282293932t_bool(collec1711870802le_alt(X1)) ),
c_0_286 ).
fof(c_0_603,axiom,
! [X1] :
( is_fun432044380l_bool(X1)
=> is_fun432044380l_bool(collec874260222t_bool(X1)) ),
c_0_287 ).
fof(c_0_604,axiom,
! [X1] :
( is_fun631676118l_bool(X1)
=> is_fun631676118l_bool(collec1520786044t_bool(X1)) ),
c_0_288 ).
fof(c_0_605,axiom,
! [X1] :
( is_fun959573582l_bool(X1)
=> is_fun959573582l_bool(collec1580242420t_bool(X1)) ),
c_0_289 ).
fof(c_0_606,axiom,
! [X1] :
( is_fun917378774i_bool(X1)
=> is_fun917378774i_bool(collec45183100e_indi(X1)) ),
c_0_290 ).
fof(c_0_607,axiom,
! [X8] :
( is_fun917378774i_bool(X8)
=> collec45183100e_indi(X8) = X8 ),
c_0_291 ).
fof(c_0_608,axiom,
! [X75] :
( is_bool(X75)
=> ( X75 = fTrue
| X75 = fFalse ) ),
c_0_292 ).
fof(c_0_609,axiom,
! [X75] :
( is_bool(X75)
=> ( X75 = fTrue
| X75 = fFalse ) ),
c_0_293 ).
fof(c_0_610,axiom,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
c_0_294 ).
fof(c_0_611,axiom,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
c_0_295 ).
fof(c_0_612,axiom,
hBOOL(fTrue),
c_0_296 ).
fof(c_0_613,axiom,
is_Arr553848933le_alt(e),
c_0_297 ).
fof(c_0_614,axiom,
is_Arr553848933le_alt(b),
c_0_298 ).
fof(c_0_615,axiom,
is_Arr553848933le_alt(a),
c_0_299 ).
fof(c_0_616,axiom,
is_fun282293932t_bool(lba),
c_0_300 ).
fof(c_0_617,axiom,
is_fun282293932t_bool(lab),
c_0_301 ).
fof(c_0_618,axiom,
is_bool(fTrue),
c_0_302 ).
fof(c_0_619,axiom,
is_bool(fFalse),
c_0_303 ).
fof(c_0_620,axiom,
is_fun282293932t_bool(top_to2034604131t_bool),
c_0_304 ).
fof(c_0_621,axiom,
is_fun432044380l_bool(top_to2005687013l_bool),
c_0_305 ).
fof(c_0_622,axiom,
is_fun631676118l_bool(top_to40512653l_bool),
c_0_306 ).
fof(c_0_623,axiom,
is_fun959573582l_bool(top_to1194196741l_bool),
c_0_307 ).
fof(c_0_624,axiom,
is_fun917378774i_bool(top_to1256827021i_bool),
c_0_308 ).
fof(c_0_625,axiom,
is_bool(top_top_bool),
c_0_309 ).
fof(c_0_626,axiom,
is_fun631676118l_bool(arrow_467566751nimity),
c_0_310 ).
fof(c_0_627,axiom,
is_fun959573582l_bool(arrow_413697182e_Prof),
c_0_311 ).
fof(c_0_628,axiom,
is_fun432044380l_bool(arrow_1239002508le_Lin),
c_0_312 ).
fof(c_0_629,axiom,
is_fun631676118l_bool(arrow_1212118780le_IIA),
c_0_313 ).
fof(c_0_630,axiom,
a != b,
c_0_314 ).
fof(c_0_631,axiom,
c != d,
c_0_315 ).
fof(c_0_632,plain,
! [X14,X15,X16,X17,X18,X19] :
( ( is_Arr625519182e_indi(esk2_6(X14,X15,X16,X17,X18,X19))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk2_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk2_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk2_6(X14,X15,X16,X17,X18,X19))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk2_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_316])])])]) ).
fof(c_0_633,plain,
! [X14,X15,X16,X17,X18,X19] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| is_Arr625519182e_indi(esk1_6(X14,X15,X16,X17,X18,X19))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| is_Arr625519182e_indi(esk1_6(X14,X15,X16,X17,X18,X19))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk1_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk1_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk1_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk1_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk1_6(X14,X15,X16,X17,X18,X19))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk1_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk1_6(X14,X15,X16,X17,X18,X19))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk1_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X19 = X16
| X18 = X17
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_317])])])]) ).
fof(c_0_634,plain,
! [X14,X15,X16,X17,X18,X19] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| is_Arr625519182e_indi(esk4_6(X14,X15,X16,X17,X18,X19))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| is_Arr625519182e_indi(esk4_6(X14,X15,X16,X17,X18,X19))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk4_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk4_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk4_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk4_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk4_6(X14,X15,X16,X17,X18,X19))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk4_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X15,esk4_6(X14,X15,X16,X17,X18,X19))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X14,esk4_6(X14,X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_318])])])]) ).
fof(c_0_635,plain,
! [X25,X26,X27,X28,X29,X31,X36] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X26)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X27)))
| is_Arr625519182e_indi(esk9_5(X25,X26,X27,X28,X29))
| ~ is_Arr553848933le_alt(X28)
| ~ is_Arr553848933le_alt(X29)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X27),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X26),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X25)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X27)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X26)))
| is_Arr625519182e_indi(esk9_5(X25,X26,X27,X28,X29))
| ~ is_Arr553848933le_alt(X28)
| ~ is_Arr553848933le_alt(X29)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X27),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X26),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X25)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X26)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X27)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_A1374816149t_bool(X26,esk9_5(X25,X26,X27,X28,X29))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_A1374816149t_bool(X27,esk9_5(X25,X26,X27,X28,X29))))
| ~ is_Arr553848933le_alt(X28)
| ~ is_Arr553848933le_alt(X29)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X27),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X26),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X25)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X27)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X26)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_A1374816149t_bool(X26,esk9_5(X25,X26,X27,X28,X29))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_A1374816149t_bool(X27,esk9_5(X25,X26,X27,X28,X29))))
| ~ is_Arr553848933le_alt(X28)
| ~ is_Arr553848933le_alt(X29)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X27),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X26),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X25)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X26)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X27)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_A1374816149t_bool(X26,esk9_5(X25,X26,X27,X28,X29))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_A1374816149t_bool(X27,esk9_5(X25,X26,X27,X28,X29))))
| ~ is_Arr553848933le_alt(X28)
| ~ is_Arr553848933le_alt(X29)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X27),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X26),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X25)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X27)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_f695124765t_bool(X25,X26)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_A1374816149t_bool(X26,esk9_5(X25,X26,X27,X28,X29))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X28,X29)),hAPP_A1374816149t_bool(X27,esk9_5(X25,X26,X27,X28,X29))))
| ~ is_Arr553848933le_alt(X28)
| ~ is_Arr553848933le_alt(X29)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X27),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X26),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X25)) )
& ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk10_1(X31)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X31)) )
& ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk11_1(X31)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X31)) )
& ( is_Arr553848933le_alt(esk12_1(X31))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X31)) )
& ( is_Arr553848933le_alt(esk13_1(X31))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X31)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X31),esk13_1(X31))),hAPP_A1374816149t_bool(esk10_1(X31),X36)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X31),esk13_1(X31))),hAPP_A1374816149t_bool(esk11_1(X31),X36)))
| ~ is_Arr625519182e_indi(X36)
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X31)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X31),esk13_1(X31))),hAPP_A1374816149t_bool(esk11_1(X31),X36)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X31),esk13_1(X31))),hAPP_A1374816149t_bool(esk10_1(X31),X36)))
| ~ is_Arr625519182e_indi(X36)
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X31)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X31),esk13_1(X31))),hAPP_f695124765t_bool(X31,esk10_1(X31))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X31),esk13_1(X31))),hAPP_f695124765t_bool(X31,esk11_1(X31))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X31)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X31),esk13_1(X31))),hAPP_f695124765t_bool(X31,esk10_1(X31))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X31),esk13_1(X31))),hAPP_f695124765t_bool(X31,esk11_1(X31))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X31)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_319])])])])])]) ).
fof(c_0_636,plain,
! [X15,X16,X17,X18,X19] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X16)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_f695124765t_bool(f,X15)))
| is_Arr625519182e_indi(esk3_5(X15,X16,X17,X18,X19))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X16),arrow_413697182e_Prof))
| X18 = X17
| X19 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X16)))
| is_Arr625519182e_indi(esk3_5(X15,X16,X17,X18,X19))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X16),arrow_413697182e_Prof))
| X18 = X17
| X19 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X16)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_f695124765t_bool(f,X15)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X16,esk3_5(X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_A1374816149t_bool(X15,esk3_5(X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X16),arrow_413697182e_Prof))
| X18 = X17
| X19 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X16)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X16,esk3_5(X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_A1374816149t_bool(X15,esk3_5(X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X16),arrow_413697182e_Prof))
| X18 = X17
| X19 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X16)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X16,esk3_5(X15,X16,X17,X18,X19))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_A1374816149t_bool(X15,esk3_5(X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X16),arrow_413697182e_Prof))
| X18 = X17
| X19 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_f695124765t_bool(f,X16)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X18,X19)),hAPP_A1374816149t_bool(X16,esk3_5(X15,X16,X17,X18,X19))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X19,X17)),hAPP_A1374816149t_bool(X15,esk3_5(X15,X16,X17,X18,X19))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X16),arrow_413697182e_Prof))
| X18 = X17
| X19 = X17
| X18 = X19
| ~ is_Arr553848933le_alt(X17)
| ~ is_Arr553848933le_alt(X18)
| ~ is_Arr553848933le_alt(X19) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_320])])])]) ).
fof(c_0_637,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)],[c_0_321]) ).
fof(c_0_638,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)],[c_0_322]) ).
fof(c_0_639,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)))))),
c_0_323 ).
fof(c_0_640,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)))))),
c_0_324 ).
fof(c_0_641,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)))))),
c_0_325 ).
fof(c_0_642,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)),
c_0_326 ).
fof(c_0_643,plain,
! [X14,X15,X16,X17] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_f695124765t_bool(f,X14)))
| is_Arr625519182e_indi(esk5_4(X14,X15,X16,X17))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X15)))
| is_Arr625519182e_indi(esk5_4(X14,X15,X16,X17))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_f695124765t_bool(f,X14)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X15,esk5_4(X14,X15,X16,X17))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_A1374816149t_bool(X14,esk5_4(X14,X15,X16,X17))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X15)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X15,esk5_4(X14,X15,X16,X17))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_A1374816149t_bool(X14,esk5_4(X14,X15,X16,X17))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X15,esk5_4(X14,X15,X16,X17))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_A1374816149t_bool(X14,esk5_4(X14,X15,X16,X17))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_f695124765t_bool(f,X14)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(f,X15)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X15,esk5_4(X14,X15,X16,X17))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X17,X16)),hAPP_A1374816149t_bool(X14,esk5_4(X14,X15,X16,X17))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X14),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X15),arrow_413697182e_Prof))
| X16 = X17
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_327])])])]) ).
fof(c_0_644,plain,
! [X24,X25,X26,X27,X29,X33] :
( ( is_Arr625519182e_indi(esk14_4(X24,X25,X26,X27))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X26,X27)),hAPP_f695124765t_bool(X24,X25)))
| ~ is_Arr553848933le_alt(X26)
| ~ is_Arr553848933le_alt(X27)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X25),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X24)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X26,X27)),hAPP_A1374816149t_bool(X25,esk14_4(X24,X25,X26,X27))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X26,X27)),hAPP_f695124765t_bool(X24,X25)))
| ~ is_Arr553848933le_alt(X26)
| ~ is_Arr553848933le_alt(X27)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X25),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X24)) )
& ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk15_1(X29)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X29)) )
& ( is_Arr553848933le_alt(esk16_1(X29))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X29)) )
& ( is_Arr553848933le_alt(esk17_1(X29))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X29)) )
& ( ~ is_Arr625519182e_indi(X33)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X29),esk17_1(X29))),hAPP_A1374816149t_bool(esk15_1(X29),X33)))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X29)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X29),esk17_1(X29))),hAPP_f695124765t_bool(X29,esk15_1(X29))))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X29)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_328])])])])])]) ).
fof(c_0_645,plain,
! [X14,X15] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),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,X14)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),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,X14)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X14) != n
| hAPP_A588601142di_nat(h,X14) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X14) != n
| hAPP_A588601142di_nat(h,X14) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),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,X14)),e)))
| hAPP_A588601142di_nat(h,X14) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X14)),e)))
| hAPP_A588601142di_nat(h,X14) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X14) != 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,X14)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X14) != 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,X14)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),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,X14)),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,X14)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X14)),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,X14)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),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,X14)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X14)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),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,X14)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X14) != n
| hAPP_A588601142di_nat(h,X14) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X14)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X14) != n
| hAPP_A588601142di_nat(h,X14) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),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,X14)),e)))
| hAPP_A588601142di_nat(h,X14) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X14)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X14)),e)))
| hAPP_A588601142di_nat(h,X14) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X14) != 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,X14)),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,X14)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X14) != 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,X14)),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,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),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,X14)),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,X14)),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,X14)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X14)),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,X14)),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,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X15)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n)) )
& ( hAPP_A588601142di_nat(h,X15) != 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,X15)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n)) )
& ( hAPP_A588601142di_nat(h,X15) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X15)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X15)),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,X15)),n)) )
& ( hAPP_A588601142di_nat(h,X15) != 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,X15)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),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,X15)),n)) )
& ( hAPP_A588601142di_nat(h,X15) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X15)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),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,X15)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X15)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( hAPP_A588601142di_nat(h,X15) != 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,X15)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( hAPP_A588601142di_nat(h,X15) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X15)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),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,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X15)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( hAPP_A588601142di_nat(h,X15) != 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,X15)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( hAPP_A588601142di_nat(h,X15) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X15)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_329])])])])]) ).
fof(c_0_646,plain,
! [X14,X15] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X14)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X14))) )
& ( hAPP_A588601142di_nat(h,X14) != 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,X14)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X14))) )
& ( hAPP_A588601142di_nat(h,X14) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X14)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X14)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X14))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( hAPP_A588601142di_nat(h,X15) != n
| hAPP_A588601142di_nat(h,X15) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X15)),e)))
| hAPP_A588601142di_nat(h,X15) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( hAPP_A588601142di_nat(h,X15) != 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,X15)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X15)),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,X15)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X15)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X15)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( hAPP_A588601142di_nat(h,X15) != n
| hAPP_A588601142di_nat(h,X15) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X15)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X15)),e)))
| hAPP_A588601142di_nat(h,X15) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X15)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( hAPP_A588601142di_nat(h,X15) != 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,X15)),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,X15)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X15)),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,X15)),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,X15)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X15))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_330])])])])]) ).
fof(c_0_647,plain,
! [X75] : 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),X75)),lab),lba)),arrow_413697182e_Prof)),
inference(variable_rename,[status(thm)],[c_0_331]) ).
fof(c_0_648,plain,
! [X68,X69,X72,X73] :
( ( is_Arr553848933le_alt(esk18_2(X68,X69))
| X69 = X68
| ~ is_fun282293932t_bool(X68)
| ~ is_fun282293932t_bool(X69) )
& ( is_Arr553848933le_alt(esk19_2(X68,X69))
| X69 = X68
| ~ is_fun282293932t_bool(X68)
| ~ is_fun282293932t_bool(X69) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X68,X69),esk19_2(X68,X69))),X69))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X68,X69),esk19_2(X68,X69))),X68))
| X69 = X68
| ~ is_fun282293932t_bool(X68)
| ~ is_fun282293932t_bool(X69) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X68,X69),esk19_2(X68,X69))),X69))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X68,X69),esk19_2(X68,X69))),X68))
| X69 = X68
| ~ is_fun282293932t_bool(X68)
| ~ is_fun282293932t_bool(X69) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X72,X73)),X69))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X72,X73)),X68))
| ~ is_Arr553848933le_alt(X72)
| ~ is_Arr553848933le_alt(X73)
| X69 != X68
| ~ is_fun282293932t_bool(X68)
| ~ is_fun282293932t_bool(X69) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X72,X73)),X68))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X72,X73)),X69))
| ~ is_Arr553848933le_alt(X72)
| ~ is_Arr553848933le_alt(X73)
| X69 != X68
| ~ is_fun282293932t_bool(X68)
| ~ is_fun282293932t_bool(X69) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_332])])])])]) ).
fof(c_0_649,plain,
! [X73,X74] :
( ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk25_2(X73,X74)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X74),X73))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( is_Arr553848933le_alt(esk26_2(X73,X74))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X74),X73))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( is_Arr553848933le_alt(esk27_2(X73,X74))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X74),X73))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( esk26_2(X73,X74) != esk27_2(X73,X74)
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X74),X73))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X73,X74),esk27_2(X73,X74))),hAPP_A1374816149t_bool(esk25_2(X73,X74),X73)))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X74),X73))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X73,X74),esk27_2(X73,X74))),hAPP_f695124765t_bool(X74,esk25_2(X73,X74))))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X74),X73))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_333])])])]) ).
fof(c_0_650,plain,
! [X13,X14,X15,X16,X17] :
( ( X13 != X14
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X13 != X17
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X14)),X15))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X14 != X17
| X13 = X16
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X16)),X15))
| X13 = X17
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X14 = X17
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),X15))
| X13 = X17
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X13 != X17
| X13 = X17
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X14 != X17
| X14 = X17
| X13 = X17
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),X15))
| X14 = X17
| X13 = X17
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X14 != X17
| X13 != X16
| X13 = X17
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),X15))
| X13 != X16
| X13 = X17
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X14 != X17
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X16)),X15))
| X13 = X17
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),X15))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X16)),X15))
| X13 = X17
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X13 != X17
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X14)),X15))
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X14 != X17
| X14 = X17
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X14)),X15))
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),X15))
| X14 = X17
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X14)),X15))
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X14 != X17
| X13 != X16
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X14)),X15))
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),X15))
| X13 != X16
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X14)),X15))
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( X14 != X17
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X16)),X15))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X14)),X15))
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),X15))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X16)),X15))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X14)),X15))
| X13 = X14
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X15),X16),X17)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| X16 = X17
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X16)
| ~ is_Arr553848933le_alt(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_334])])]) ).
fof(c_0_651,plain,
! [X6,X7,X8] :
( ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| X7 = X8
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X6),arrow_1239002508le_Lin))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X6),X7),X8)),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_335])]) ).
fof(c_0_652,plain,
! [X7,X8,X9,X10] :
( ( X7 != X10
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( X8 != X10
| X7 != X8
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( X8 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),X9))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( X8 != X10
| X8 = X10
| X7 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),X9))
| X8 = X10
| X7 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( X8 != X10
| X7 = X8
| X7 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),X9))
| X7 = X8
| X7 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_336])])]) ).
fof(c_0_653,plain,
! [X7,X8,X9,X10] :
( ( X8 != X10
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( X7 != X10
| X7 != X8
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( X7 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),X9))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( X7 != X10
| X7 = X10
| X8 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),X9))
| X7 = X10
| X8 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( X7 != X10
| X7 = X8
| X8 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),X9))
| X7 = X8
| X8 = X10
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X8)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X9),X10)))
| ~ is_Arr553848933le_alt(X7)
| ~ is_Arr553848933le_alt(X8)
| ~ is_Arr553848933le_alt(X10) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_337])])]) ).
fof(c_0_654,plain,
! [X6,X7,X8] :
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X6,X7)),X8))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X6)),X8))
| X6 = X7
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X8),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X6)
| ~ is_Arr553848933le_alt(X7) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X7,X6)),X8))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X6,X7)),X8))
| X6 = X7
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X8),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X6)
| ~ is_Arr553848933le_alt(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_338])])])])]) ).
fof(c_0_655,plain,
! [X13,X14,X15] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X15),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X13,X14)),X15))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X14,X13)),X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_339])]) ).
fof(c_0_656,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X75),pi_Arr688267935t_bool(X76,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X77))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_340])]) ).
fof(c_0_657,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X75),pi_fun433100839t_bool(X76,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X77))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_341])]) ).
fof(c_0_658,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X75),pi_boo2007389459t_bool(X76,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X77))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_342])]) ).
fof(c_0_659,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X75),pi_boo71521447t_bool(X76,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X77))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_343])]) ).
fof(c_0_660,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X75),pi_Arr372473371t_bool(X76,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X77))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_344])]) ).
fof(c_0_661,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X75),pi_boo691944735t_bool(X76,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X77))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_345])]) ).
fof(c_0_662,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X75),pi_Arr1511953043t_bool(X76,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X77))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_346])]) ).
fof(c_0_663,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X75),pi_boo1877522301le_alt(X76,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X77))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_347])]) ).
fof(c_0_664,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X75),pi_Arr149813489le_alt(X76,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X77))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_348])]) ).
fof(c_0_665,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X75),pi_fun1727820731l_bool(X76,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X77))))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X74),X76))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_349])]) ).
fof(c_0_666,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X75),pi_fun972956463e_indi(X76,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X77))))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X74),X76))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_350])]) ).
fof(c_0_667,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X75),pi_fun525942951l_bool(X76,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X77))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),X76))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_351])]) ).
fof(c_0_668,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X75),pi_fun2075749915e_indi(X76,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X77))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),X76))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_352])]) ).
fof(c_0_669,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X75),pi_fun1494794527l_bool(X76,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X77))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_353])]) ).
fof(c_0_670,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X75),pi_fun1736243859e_indi(X76,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X77))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_354])]) ).
fof(c_0_671,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X75),pi_Pro437273841e_indi(X76,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X77))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X74),X76))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_355])]) ).
fof(c_0_672,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X75),pi_Pro2135156861t_bool(X76,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X77))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X74),X76))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X75,X74)),X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_356])]) ).
fof(c_0_673,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)))),
c_0_357 ).
fof(c_0_674,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X75),pi_Arr688267935t_bool(X76,X77)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X75,X74)),hAPP_A1944296755l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_358])]) ).
fof(c_0_675,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X75),pi_fun433100839t_bool(X76,X77)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X75,X74)),hAPP_f861484971l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_359])]) ).
fof(c_0_676,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X75),pi_boo2007389459t_bool(X76,X77)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X75,X74)),hAPP_b1965422783l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_360])]) ).
fof(c_0_677,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X75),pi_boo71521447t_bool(X76,X77)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X75,X74)),hAPP_b990649139l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_361])]) ).
fof(c_0_678,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X75),pi_Arr372473371t_bool(X76,X77)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X75,X74)),hAPP_A1964572607l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_362])]) ).
fof(c_0_679,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X75),pi_boo691944735t_bool(X76,X77)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X75,X74)),hAPP_b1719629739l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_363])]) ).
fof(c_0_680,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X75),pi_Arr1511953043t_bool(X76,X77)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X75,X74)),hAPP_A1912483895l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_364])]) ).
fof(c_0_681,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X75),pi_boo1877522301le_alt(X76,X77)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X75,X74)),hAPP_b1024867081t_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_365])]) ).
fof(c_0_682,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X75),pi_Arr149813489le_alt(X76,X77)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X75,X74)),hAPP_A1374816149t_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_366])]) ).
fof(c_0_683,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X75),pi_fun1727820731l_bool(X76,X77)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X74),X76))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X75,X74)),hAPP_f417299659l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_367])]) ).
fof(c_0_684,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X75),pi_fun972956463e_indi(X76,X77)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X74),X76))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X75,X74)),hAPP_f352490559i_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_368])]) ).
fof(c_0_685,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X75),pi_fun525942951l_bool(X76,X77)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),X76))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X75,X74)),hAPP_f497468491l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_369])]) ).
fof(c_0_686,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X75),pi_fun2075749915e_indi(X76,X77)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),X76))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X75,X74)),hAPP_f355113919i_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_370])]) ).
fof(c_0_687,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X75),pi_fun1494794527l_bool(X76,X77)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X75,X74)),hAPP_f313042899l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_371])]) ).
fof(c_0_688,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X75),pi_fun1736243859e_indi(X76,X77)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X75,X74)),hAPP_f749892423i_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_372])]) ).
fof(c_0_689,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X75),pi_Pro437273841e_indi(X76,X77)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X74),X76))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X75,X74)),hAPP_P907763049i_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_373])]) ).
fof(c_0_690,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X75),pi_Pro2135156861t_bool(X76,X77)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X74),X76))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X75,X74)),hAPP_P2127852789l_bool(X77,X74))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_374])]) ).
fof(c_0_691,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X75),pi_Arr688267935t_bool(X76,X77)))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X75,X74)),hAPP_A1944296755l_bool(X77,X74)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_375])]) ).
fof(c_0_692,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X75),pi_fun433100839t_bool(X76,X77)))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X75,X74)),hAPP_f861484971l_bool(X77,X74)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_376])]) ).
fof(c_0_693,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X75),pi_fun1727820731l_bool(X76,X77)))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X75,X74)),hAPP_f417299659l_bool(X77,X74)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_377])]) ).
fof(c_0_694,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X75),pi_fun972956463e_indi(X76,X77)))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X75,X74)),hAPP_f352490559i_bool(X77,X74)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_378])]) ).
fof(c_0_695,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X75),pi_fun525942951l_bool(X76,X77)))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X75,X74)),hAPP_f497468491l_bool(X77,X74)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_379])]) ).
fof(c_0_696,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X75),pi_fun2075749915e_indi(X76,X77)))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X75,X74)),hAPP_f355113919i_bool(X77,X74)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_380])]) ).
fof(c_0_697,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X75),pi_fun1494794527l_bool(X76,X77)))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X75,X74)),hAPP_f313042899l_bool(X77,X74)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_381])]) ).
fof(c_0_698,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X75),pi_fun1736243859e_indi(X76,X77)))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X75,X74)),hAPP_f749892423i_bool(X77,X74)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_382])]) ).
fof(c_0_699,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X75),pi_Pro437273841e_indi(X76,X77)))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X75,X74)),hAPP_P907763049i_bool(X77,X74)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_383])]) ).
fof(c_0_700,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X75),pi_boo2007389459t_bool(X76,X77)))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X75,X74)),hAPP_b1965422783l_bool(X77,X74)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_384])]) ).
fof(c_0_701,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X75),pi_boo71521447t_bool(X76,X77)))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X75,X74)),hAPP_b990649139l_bool(X77,X74)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_385])]) ).
fof(c_0_702,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X75),pi_Arr372473371t_bool(X76,X77)))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X75,X74)),hAPP_A1964572607l_bool(X77,X74)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_386])]) ).
fof(c_0_703,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X75),pi_boo691944735t_bool(X76,X77)))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X75,X74)),hAPP_b1719629739l_bool(X77,X74)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_387])]) ).
fof(c_0_704,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X75),pi_Arr1511953043t_bool(X76,X77)))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X75,X74)),hAPP_A1912483895l_bool(X77,X74)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_388])]) ).
fof(c_0_705,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X75),pi_boo1877522301le_alt(X76,X77)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X75,X74)),hAPP_b1024867081t_bool(X77,X74)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_389])]) ).
fof(c_0_706,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X75),pi_Arr149813489le_alt(X76,X77)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X75,X74)),hAPP_A1374816149t_bool(X77,X74)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_390])]) ).
fof(c_0_707,plain,
! [X74,X75,X76,X77] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X75),pi_Pro2135156861t_bool(X76,X77)))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X75,X74)),hAPP_P2127852789l_bool(X77,X74)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X74),X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_391])]) ).
fof(c_0_708,plain,
! [X6,X7] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X7),arrow_1239002508le_Lin))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X7),X6)),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_392])]) ).
fof(c_0_709,plain,
! [X6,X7] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X7),arrow_1239002508le_Lin))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X7),X6)),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_393])]) ).
fof(c_0_710,plain,
! [X35,X36,X37] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X36),X37))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X37),X35))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X36),X35)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_394])]) ).
fof(c_0_711,plain,
! [X7,X8,X9] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X8),X9))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X9),X7))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X8),X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_395])]) ).
fof(c_0_712,plain,
! [X32,X33,X34] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X34))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X33))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X34)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_396])]) ).
fof(c_0_713,plain,
! [X7,X8,X9] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X8),X9))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X7),X8))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X7),X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_397])]) ).
fof(c_0_714,plain,
! [X9,X10,X11] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X10),X11))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X10))
| hBOOL(X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_398])]) ).
fof(c_0_715,plain,
! [X9,X10,X11] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X10),X11))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X10))
| hBOOL(X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_399])]) ).
fof(c_0_716,plain,
! [X70,X71,X72,X73] :
( ~ is_Arr625519182e_indi(X70)
| ~ is_Arr625519182e_indi(X71)
| ~ hBOOL(inj_on24934938di_nat(X72,X73))
| hAPP_A588601142di_nat(X72,X70) != hAPP_A588601142di_nat(X72,X71)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X70),X73))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X71),X73))
| X70 = X71 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_400])])])]) ).
fof(c_0_717,plain,
! [X70,X71,X72,X73] :
( ( hAPP_A588601142di_nat(X72,X71) != hAPP_A588601142di_nat(X72,X70)
| X71 = X70
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X70),X73))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X71),X73))
| ~ hBOOL(inj_on24934938di_nat(X72,X73))
| ~ is_Arr625519182e_indi(X70)
| ~ is_Arr625519182e_indi(X71) )
& ( X71 != X70
| hAPP_A588601142di_nat(X72,X71) = hAPP_A588601142di_nat(X72,X70)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X70),X73))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X71),X73))
| ~ hBOOL(inj_on24934938di_nat(X72,X73))
| ~ is_Arr625519182e_indi(X70)
| ~ is_Arr625519182e_indi(X71) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_401])])])])]) ).
fof(c_0_718,plain,
! [X70,X71,X72,X73] :
( ~ is_Arr625519182e_indi(X70)
| ~ is_Arr625519182e_indi(X71)
| ~ hBOOL(inj_on24934938di_nat(X72,X73))
| X70 = X71
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X70),X73))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X71),X73))
| hAPP_A588601142di_nat(X72,X70) != hAPP_A588601142di_nat(X72,X71) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_402])])])]) ).
fof(c_0_719,plain,
! [X70,X71,X72,X73,X74,X75] :
( ( ~ hBOOL(inj_on24934938di_nat(X70,X71))
| ~ is_Arr625519182e_indi(X72)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X72),X71))
| ~ is_Arr625519182e_indi(X73)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X73),X71))
| hAPP_A588601142di_nat(X70,X72) != hAPP_A588601142di_nat(X70,X73)
| X72 = X73 )
& ( is_Arr625519182e_indi(esk20_2(X74,X75))
| hBOOL(inj_on24934938di_nat(X74,X75)) )
& ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk20_2(X74,X75)),X75))
| hBOOL(inj_on24934938di_nat(X74,X75)) )
& ( is_Arr625519182e_indi(esk21_2(X74,X75))
| hBOOL(inj_on24934938di_nat(X74,X75)) )
& ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk21_2(X74,X75)),X75))
| hBOOL(inj_on24934938di_nat(X74,X75)) )
& ( hAPP_A588601142di_nat(X74,esk20_2(X74,X75)) = hAPP_A588601142di_nat(X74,esk21_2(X74,X75))
| hBOOL(inj_on24934938di_nat(X74,X75)) )
& ( esk20_2(X74,X75) != esk21_2(X74,X75)
| hBOOL(inj_on24934938di_nat(X74,X75)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_403])])])])])]) ).
fof(c_0_720,plain,
! [X5,X6,X7,X8] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X6))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X5))
| X5 = X6 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X7))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X8)) )
& ( X7 != X8
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X8)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_404])])])])]) ).
fof(c_0_721,plain,
! [X59,X60] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X59),X60))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X60),X59)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_405])]) ).
fof(c_0_722,plain,
! [X5,X6] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X5),X6))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_406])]) ).
fof(c_0_723,plain,
! [X57,X58] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X57),X58))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X57)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_407])]) ).
fof(c_0_724,plain,
! [X5,X6] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X5),X6))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_408])]) ).
fof(c_0_725,plain,
! [X51,X52] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X51),X52))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X52),X51)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_409])]) ).
fof(c_0_726,plain,
! [X13,X14] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X13),X14))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X14),X13)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_410])]) ).
fof(c_0_727,plain,
! [X49,X50] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X49),X50))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_411])]) ).
fof(c_0_728,plain,
! [X13,X14] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X13),X14))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X14),X13)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_412])]) ).
fof(c_0_729,plain,
! [X29,X30] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X30))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X30),X29)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_413])]) ).
fof(c_0_730,plain,
! [X5,X6] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X5),X6))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_414])]) ).
fof(c_0_731,plain,
! [X18,X20,X21,X22,X25] :
( ( ~ hBOOL(hAPP_P2075002375t_bool(X18,esk6_1(X18)))
| ~ is_Arr553848933le_alt(X20)
| ~ is_Arr553848933le_alt(X21)
| hBOOL(hAPP_P2075002375t_bool(X18,produc171383831le_alt(X20,X21))) )
& ( is_Arr553848933le_alt(esk7_1(X22))
| hBOOL(hAPP_P2075002375t_bool(X22,X25)) )
& ( is_Arr553848933le_alt(esk8_1(X22))
| hBOOL(hAPP_P2075002375t_bool(X22,X25)) )
& ( ~ hBOOL(hAPP_P2075002375t_bool(X22,produc171383831le_alt(esk7_1(X22),esk8_1(X22))))
| hBOOL(hAPP_P2075002375t_bool(X22,X25)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_415])])])])])]) ).
fof(c_0_732,plain,
! [X71,X72] :
( ~ is_fun1016509681e_indi(X71)
| ~ hBOOL(inj_on24934938di_nat(X72,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X72,hAPP_n385347014e_indi(X71,esk22_2(X71,X72))) != esk22_2(X71,X72)
| hilber1792103167di_nat(top_to1256827021i_bool,X72) = X71 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_416])])])])]) ).
fof(c_0_733,plain,
! [X73,X74,X75,X76,X77] :
( ( ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X73),X74))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X75),arrow_413697182e_Prof))
| hAPP_f695124765t_bool(X73,X75) = hAPP_A1374816149t_bool(X75,X74) )
& ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk29_2(X76,X77)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X76),X77)) )
& ( hAPP_f695124765t_bool(X76,esk29_2(X76,X77)) != hAPP_A1374816149t_bool(esk29_2(X76,X77),X77)
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X76),X77)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_417])])])])])]) ).
fof(c_0_734,plain,
! [X24,X25] :
( ( is_fun282293932t_bool(esk28_2(X24,X25))
| X24 = X25
| ~ is_Arr553848933le_alt(X24)
| ~ is_Arr553848933le_alt(X25) )
& ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(esk28_2(X24,X25)),arrow_1239002508le_Lin))
| X24 = X25
| ~ is_Arr553848933le_alt(X24)
| ~ is_Arr553848933le_alt(X25) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X24,X25)),esk28_2(X24,X25)))
| X24 = X25
| ~ is_Arr553848933le_alt(X24)
| ~ is_Arr553848933le_alt(X25) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_418])])])]) ).
fof(c_0_735,plain,
! [X5,X6] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X5))
| X6 = X5
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X6)) )
& ( X6 != X5
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X5))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X6)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_419])])]) ).
fof(c_0_736,plain,
! [X47,X48,X49] :
( X48 != X49
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X49),X47))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X48),X47)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_420])]) ).
fof(c_0_737,plain,
! [X15,X16,X17] :
( X16 != X17
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X17),X15))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X16),X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_421])]) ).
fof(c_0_738,plain,
! [X44,X45,X46] :
( X45 != X46
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X44),X46))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X44),X45)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_422])]) ).
fof(c_0_739,plain,
! [X15,X16,X17] :
( X16 != X17
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X15),X17))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X15),X16)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_423])]) ).
fof(c_0_740,plain,
! [X41,X42,X43] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X42),X43))
| X43 != X41
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X42),X41)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_424])]) ).
fof(c_0_741,plain,
! [X15,X16,X17] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X16),X17))
| X17 != X15
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X16),X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_425])]) ).
fof(c_0_742,plain,
! [X38,X39,X40] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X39),X40))
| X39 != X38
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X38),X40)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_426])]) ).
fof(c_0_743,plain,
! [X15,X16,X17] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X16),X17))
| X16 != X15
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X15),X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_427])]) ).
fof(c_0_744,plain,
! [X6] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X6),arrow_1239002508le_Lin))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X6)),arrow_413697182e_Prof)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_428])]) ).
fof(c_0_745,plain,
! [X70,X71,X72] :
( ~ is_Arr625519182e_indi(X70)
| ~ hBOOL(inj_on24934938di_nat(X71,X72))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X70),X72))
| hAPP_n385347014e_indi(hilber1792103167di_nat(X72,X71),hAPP_A588601142di_nat(X71,X70)) = X70 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_429])])])]) ).
fof(c_0_746,plain,
! [X70,X71,X72,X73] :
( ~ is_Arr625519182e_indi(X71)
| ~ hBOOL(inj_on24934938di_nat(X72,X73))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X71),X73))
| hAPP_A588601142di_nat(X72,X71) != X70
| hAPP_n385347014e_indi(hilber1792103167di_nat(X73,X72),X70) = X71 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_430])])])]) ).
fof(c_0_747,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
c_0_431 ).
fof(c_0_748,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
c_0_432 ).
fof(c_0_749,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
c_0_433 ).
fof(c_0_750,plain,
! [X5,X6,X7,X8] :
( ( X5 = X6
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X6))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X6),X5)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X7),X8))
| X7 != X8 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X8),X7))
| X7 != X8 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_434])])])])]) ).
fof(c_0_751,plain,
! [X65,X66] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X65),X66))
| X65 = X66
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X66),X65)) ),
inference(variable_rename,[status(thm)],[c_0_435]) ).
fof(c_0_752,plain,
! [X63,X64] :
( X63 = X64
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X64))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X64),X63)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_436])]) ).
fof(c_0_753,plain,
! [X27,X28] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X27),X28))
| X27 = X28
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X28),X27)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_437])]) ).
fof(c_0_754,axiom,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
c_0_438 ).
fof(c_0_755,plain,
! [X12,X13] :
( ( ~ hBOOL(X12)
| hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),top_top_bool)) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(X12)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),top_top_bool)) )
& ( ~ hBOOL(X13)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),top_top_bool)) )
& ( hBOOL(X13)
| hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),top_top_bool)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_439])])])])]) ).
fof(c_0_756,plain,
! [X12] :
( ( X12 = top_to1256827021i_bool
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),top_to1256827021i_bool))
| ~ is_fun917378774i_bool(X12) )
& ( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),top_to1256827021i_bool))
| X12 != top_to1256827021i_bool
| ~ is_fun917378774i_bool(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_440])])]) ).
fof(c_0_757,plain,
! [X12] :
( ( X12 = top_to2034604131t_bool
| hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X12),top_to2034604131t_bool))
| ~ is_fun282293932t_bool(X12) )
& ( ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X12),top_to2034604131t_bool))
| X12 != top_to2034604131t_bool
| ~ is_fun282293932t_bool(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_441])])]) ).
fof(c_0_758,plain,
! [X12] :
( ( X12 = top_to40512653l_bool
| hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X12),top_to40512653l_bool))
| ~ is_fun631676118l_bool(X12) )
& ( ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X12),top_to40512653l_bool))
| X12 != top_to40512653l_bool
| ~ is_fun631676118l_bool(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_442])])]) ).
fof(c_0_759,plain,
! [X12] :
( ( X12 = top_to1194196741l_bool
| hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X12),top_to1194196741l_bool))
| ~ is_fun959573582l_bool(X12) )
& ( ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X12),top_to1194196741l_bool))
| X12 != top_to1194196741l_bool
| ~ is_fun959573582l_bool(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_443])])]) ).
fof(c_0_760,plain,
! [X12] :
( ( X12 = top_to2005687013l_bool
| hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X12),top_to2005687013l_bool))
| ~ is_fun432044380l_bool(X12) )
& ( ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X12),top_to2005687013l_bool))
| X12 != top_to2005687013l_bool
| ~ is_fun432044380l_bool(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_444])])]) ).
fof(c_0_761,plain,
! [X61,X62] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X62))
| X61 != X62 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_445])]) ).
fof(c_0_762,plain,
! [X5,X6] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X5),X6))
| X5 != X6 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_446])]) ).
fof(c_0_763,plain,
! [X55,X56] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X56))
| X55 != X56 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_447])]) ).
fof(c_0_764,plain,
! [X5,X6] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X5),X6))
| X5 != X6 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_448])]) ).
fof(c_0_765,plain,
! [X53,X54] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X54))
| X54 != X53 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_449])]) ).
fof(c_0_766,plain,
! [X5,X6] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X5),X6))
| X6 != X5 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_450])]) ).
fof(c_0_767,plain,
! [X78,X79] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X78),X79))
| X78 = X79 ),
inference(variable_rename,[status(thm)],[c_0_451]) ).
fof(c_0_768,plain,
! [X66] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X66),X66)),
inference(variable_rename,[status(thm)],[c_0_452]) ).
fof(c_0_769,plain,
! [X4] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X4)),
inference(variable_rename,[status(thm)],[c_0_453]) ).
fof(c_0_770,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
c_0_454 ).
fof(c_0_771,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
c_0_455 ).
fof(c_0_772,plain,
! [X69,X70] :
( ~ is_Arr625519182e_indi(X69)
| ~ hBOOL(inj_on24934938di_nat(X70,top_to1256827021i_bool))
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X70),hAPP_A588601142di_nat(X70,X69)) = X69 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_456])])])]) ).
fof(c_0_773,plain,
! [X69,X70,X71] :
( ~ is_Arr625519182e_indi(X69)
| ~ hBOOL(inj_on24934938di_nat(X71,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X71,X69) != X70
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X71),X70) = X69 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_457])])])]) ).
fof(c_0_774,plain,
! [X12] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X12)),
inference(variable_rename,[status(thm)],[c_0_458]) ).
fof(c_0_775,plain,
! [X12] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X12)),
inference(variable_rename,[status(thm)],[c_0_459]) ).
fof(c_0_776,plain,
! [X12] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X12)),
inference(variable_rename,[status(thm)],[c_0_460]) ).
fof(c_0_777,plain,
! [X12] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X12)),
inference(variable_rename,[status(thm)],[c_0_461]) ).
fof(c_0_778,plain,
! [X12] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X12)),
inference(variable_rename,[status(thm)],[c_0_462]) ).
fof(c_0_779,plain,
! [X12] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X12)),
inference(variable_rename,[status(thm)],[c_0_463]) ).
fof(c_0_780,plain,
! [X80,X81,X82] : hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X80,X81),X82) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X80,X82),hAPP_A1374816149t_bool(X81,X82)),
inference(variable_rename,[status(thm)],[c_0_464]) ).
fof(c_0_781,plain,
! [X80,X81,X82] : hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X80,X81),X82) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X80,X82),hAPP_A1374816149t_bool(X81,X82)),
inference(variable_rename,[status(thm)],[c_0_465]) ).
fof(c_0_782,plain,
! [X69,X70,X71] :
( ~ is_Arr625519182e_indi(X69)
| ~ is_Arr625519182e_indi(X70)
| ~ hBOOL(inj_on24934938di_nat(X71,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X71,X69) != hAPP_A588601142di_nat(X71,X70)
| X69 = X70 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_466])])])]) ).
fof(c_0_783,plain,
! [X69,X70,X71] :
( ( hAPP_A588601142di_nat(X71,X69) != hAPP_A588601142di_nat(X71,X70)
| X69 = X70
| ~ hBOOL(inj_on24934938di_nat(X71,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X69)
| ~ is_Arr625519182e_indi(X70) )
& ( X69 != X70
| hAPP_A588601142di_nat(X71,X69) = hAPP_A588601142di_nat(X71,X70)
| ~ hBOOL(inj_on24934938di_nat(X71,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X69)
| ~ is_Arr625519182e_indi(X70) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_467])])])])]) ).
fof(c_0_784,plain,
! [X70,X71,X72,X73] :
( ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X70),X71))
| hBOOL(hAPP_f745298353l_bool(X71,X70)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(X73,X72))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X72),X73)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_468])])])]) ).
fof(c_0_785,plain,
! [X70,X71,X72,X73] :
( ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X70),X71))
| hBOOL(hAPP_f785543729l_bool(X71,X70)) )
& ( ~ hBOOL(hAPP_f785543729l_bool(X73,X72))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X72),X73)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_469])])])]) ).
fof(c_0_786,plain,
! [X70,X71,X72,X73] :
( ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X70),X71))
| hBOOL(hAPP_f1636546729l_bool(X71,X70)) )
& ( ~ hBOOL(hAPP_f1636546729l_bool(X73,X72))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X72),X73)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_470])])])]) ).
fof(c_0_787,plain,
! [X70,X71,X72,X73] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X70),X71))
| hBOOL(hAPP_P2075002375t_bool(X71,X70)) )
& ( ~ hBOOL(hAPP_P2075002375t_bool(X73,X72))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X72),X73)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_471])])])]) ).
fof(c_0_788,plain,
! [X70,X71,X72,X73] :
( ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X70),X71))
| hBOOL(hAPP_bool_bool(X71,X70)) )
& ( ~ hBOOL(hAPP_bool_bool(X73,X72))
| hBOOL(hAPP_f387058535l_bool(member_bool(X72),X73)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_472])])])]) ).
fof(c_0_789,plain,
! [X70,X71,X72,X73] :
( ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X70),X71))
| hBOOL(hAPP_A1466488369i_bool(X71,X70)) )
& ( ~ hBOOL(hAPP_A1466488369i_bool(X73,X72))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X72),X73)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_473])])])]) ).
fof(c_0_790,plain,
! [X78,X79] :
( ~ is_fun282293932t_bool(X79)
| hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X78),X79) = X79 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_474])]) ).
fof(c_0_791,plain,
! [X78,X79] :
( ~ is_fun282293932t_bool(X78)
| hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X78),X79) = X78 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_475])])])]) ).
fof(c_0_792,plain,
! [X80,X81,X82] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(X80,X81),X82) = hAPP_b1915039793t_bool(X80,hAPP_A1466488369i_bool(X81,X82)),
inference(variable_rename,[status(thm)],[c_0_476]) ).
fof(c_0_793,plain,
! [X80,X81,X82] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X80,X81),X82) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X80,X82),X81),
inference(variable_rename,[status(thm)],[c_0_477]) ).
fof(c_0_794,plain,
! [X80,X81,X82] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(X80,X81),X82) = hAPP_f1336478923t_bool(X80,hAPP_A1374816149t_bool(X81,X82)),
inference(variable_rename,[status(thm)],[c_0_478]) ).
fof(c_0_795,plain,
! [X80,X81,X82] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X80,X81),X82) = hAPP_f1290184496t_bool(X80,hAPP_A1374816149t_bool(X81,X82)),
inference(variable_rename,[status(thm)],[c_0_479]) ).
fof(c_0_796,plain,
! [X80,X81,X82] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X80,X81),X82) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X80,X82),X81),
inference(variable_rename,[status(thm)],[c_0_480]) ).
fof(c_0_797,plain,
! [X80,X81,X82] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(X80,X81),X82) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X80,X82),X81),
inference(variable_rename,[status(thm)],[c_0_481]) ).
fof(c_0_798,plain,
! [X80,X81,X82] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X80,X81),X82) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X80,X82),X81),
inference(variable_rename,[status(thm)],[c_0_482]) ).
fof(c_0_799,plain,
! [X80,X81,X82] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X80,X81),X82) = hAPP_n1699378549t_bool(X80,hAPP_A588601142di_nat(X81,X82)),
inference(variable_rename,[status(thm)],[c_0_483]) ).
fof(c_0_800,plain,
! [X80,X81,X82] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X80,X81),X82) = hAPP_nat_bool(hAPP_A1922697556t_bool(X80,X82),X81),
inference(variable_rename,[status(thm)],[c_0_484]) ).
fof(c_0_801,plain,
! [X78,X79] :
( X78 != X79
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X78),X79)) ),
inference(variable_rename,[status(thm)],[c_0_485]) ).
fof(c_0_802,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
c_0_486 ).
fof(c_0_803,plain,
! [X13,X14,X15,X16] :
( ( X13 = X15
| produc171383831le_alt(X13,X14) != produc171383831le_alt(X15,X16)
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X15)
| ~ is_Arr553848933le_alt(X16) )
& ( X14 = X16
| produc171383831le_alt(X13,X14) != produc171383831le_alt(X15,X16)
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X15)
| ~ is_Arr553848933le_alt(X16) )
& ( X13 != X15
| X14 != X16
| produc171383831le_alt(X13,X14) = produc171383831le_alt(X15,X16)
| ~ is_Arr553848933le_alt(X13)
| ~ is_Arr553848933le_alt(X14)
| ~ is_Arr553848933le_alt(X15)
| ~ is_Arr553848933le_alt(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_487])])]) ).
fof(c_0_804,plain,
! [X22,X23,X24,X25] :
( ( X22 = X24
| produc171383831le_alt(X22,X23) != produc171383831le_alt(X24,X25)
| ~ is_Arr553848933le_alt(X22)
| ~ is_Arr553848933le_alt(X23)
| ~ is_Arr553848933le_alt(X24)
| ~ is_Arr553848933le_alt(X25) )
& ( X23 = X25
| produc171383831le_alt(X22,X23) != produc171383831le_alt(X24,X25)
| ~ is_Arr553848933le_alt(X22)
| ~ is_Arr553848933le_alt(X23)
| ~ is_Arr553848933le_alt(X24)
| ~ is_Arr553848933le_alt(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_488])])]) ).
fof(c_0_805,plain,
! [X72] :
( ( is_Arr625519182e_indi(esk23_1(X72))
| hBOOL(inj_on24934938di_nat(X72,top_to1256827021i_bool)) )
& ( is_Arr625519182e_indi(esk24_1(X72))
| hBOOL(inj_on24934938di_nat(X72,top_to1256827021i_bool)) )
& ( hAPP_A588601142di_nat(X72,esk23_1(X72)) = hAPP_A588601142di_nat(X72,esk24_1(X72))
| hBOOL(inj_on24934938di_nat(X72,top_to1256827021i_bool)) )
& ( esk23_1(X72) != esk24_1(X72)
| hBOOL(inj_on24934938di_nat(X72,top_to1256827021i_bool)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_489])])])]) ).
fof(c_0_806,plain,
! [X4,X5] :
( ( ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X4))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X5)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_490])])])]) ).
fof(c_0_807,plain,
! [X4,X5] :
( ( ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X4))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X5)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_491])])])]) ).
fof(c_0_808,plain,
! [X4,X5] :
( ( ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X4))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X5)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_492])])])]) ).
fof(c_0_809,plain,
! [X4,X5] :
( ( ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X4))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X5)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_493])])])]) ).
fof(c_0_810,plain,
! [X4,X5] :
( ( ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X4))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X5)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_494])])])]) ).
fof(c_0_811,plain,
! [X79,X80] :
( ~ is_fun631676118l_bool(X79)
| hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_495])])])]) ).
fof(c_0_812,plain,
! [X79,X80] :
( ~ is_fun917378774i_bool(X79)
| hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_496])])])]) ).
fof(c_0_813,plain,
! [X79,X80] :
( ~ is_fun631676118l_bool(X79)
| hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_497])])])]) ).
fof(c_0_814,plain,
! [X79,X80] :
( ~ is_fun432044380l_bool(X79)
| hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_498])])])]) ).
fof(c_0_815,plain,
! [X79,X80] :
( ~ is_bool(X79)
| hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_499])])])]) ).
fof(c_0_816,plain,
! [X79,X80] :
( ~ is_fun959573582l_bool(X79)
| hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_500])])])]) ).
fof(c_0_817,plain,
! [X79,X80] :
( ~ is_fun917378774i_bool(X79)
| hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_501])])])]) ).
fof(c_0_818,plain,
! [X79,X80] :
( ~ is_fun959573582l_bool(X79)
| hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_502])])])]) ).
fof(c_0_819,plain,
! [X79,X80] :
( ~ is_fun432044380l_bool(X79)
| hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_503])])])]) ).
fof(c_0_820,plain,
! [X79,X80] :
( ~ is_fun917378774i_bool(X79)
| hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_504])])])]) ).
fof(c_0_821,plain,
! [X79,X80] :
( ~ is_bool(X79)
| hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_505])])])]) ).
fof(c_0_822,plain,
! [X79,X80] :
( ~ is_fun282293932t_bool(X79)
| hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_506])])])]) ).
fof(c_0_823,plain,
! [X79,X80] :
( ~ is_fun917378774i_bool(X79)
| hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_507])])])]) ).
fof(c_0_824,plain,
! [X79,X80] :
( ~ is_fun432044380l_bool(X79)
| hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_508])])])]) ).
fof(c_0_825,plain,
! [X79,X80] :
( ~ is_fun282293932t_bool(X79)
| hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_509])])])]) ).
fof(c_0_826,plain,
! [X79,X80] :
( ~ is_bool(X79)
| hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_510])])])]) ).
fof(c_0_827,plain,
! [X79,X80] :
( ~ is_bool(X79)
| hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_511])])])]) ).
fof(c_0_828,plain,
! [X79,X80] :
( ~ is_bool(X79)
| hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X79),X80) = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_512])])])]) ).
fof(c_0_829,plain,
! [X3,X4] :
( ~ is_fun917378774i_bool(X3)
| ~ is_Arr625519182e_indi(X4)
| is_bool(hAPP_A1466488369i_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_513])]) ).
fof(c_0_830,plain,
! [X4] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),top_to2005687013l_bool)),
inference(variable_rename,[status(thm)],[c_0_514]) ).
fof(c_0_831,plain,
! [X4] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X4),top_to40512653l_bool)),
inference(variable_rename,[status(thm)],[c_0_515]) ).
fof(c_0_832,plain,
! [X4] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),top_to1194196741l_bool)),
inference(variable_rename,[status(thm)],[c_0_516]) ).
fof(c_0_833,plain,
! [X4] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X4),top_to2034604131t_bool)),
inference(variable_rename,[status(thm)],[c_0_517]) ).
fof(c_0_834,plain,
! [X4] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),top_to1256827021i_bool)),
inference(variable_rename,[status(thm)],[c_0_518]) ).
fof(c_0_835,plain,
! [X4] : hBOOL(hAPP_f387058535l_bool(member_bool(X4),top_to1647826457l_bool)),
inference(variable_rename,[status(thm)],[c_0_519]) ).
fof(c_0_836,plain,
! [X4] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),top_to2005687013l_bool)),
inference(variable_rename,[status(thm)],[c_0_520]) ).
fof(c_0_837,plain,
! [X4] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X4),top_to40512653l_bool)),
inference(variable_rename,[status(thm)],[c_0_521]) ).
fof(c_0_838,plain,
! [X4] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),top_to1194196741l_bool)),
inference(variable_rename,[status(thm)],[c_0_522]) ).
fof(c_0_839,plain,
! [X4] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X4),top_to2034604131t_bool)),
inference(variable_rename,[status(thm)],[c_0_523]) ).
fof(c_0_840,plain,
! [X4] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),top_to1256827021i_bool)),
inference(variable_rename,[status(thm)],[c_0_524]) ).
fof(c_0_841,plain,
! [X4] : hBOOL(hAPP_f387058535l_bool(member_bool(X4),top_to1647826457l_bool)),
inference(variable_rename,[status(thm)],[c_0_525]) ).
fof(c_0_842,plain,
! [X79,X80] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X79),X80) = X79,
inference(variable_rename,[status(thm)],[c_0_526]) ).
fof(c_0_843,plain,
! [X79,X80] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X79),X80) = X79,
inference(variable_rename,[status(thm)],[c_0_527]) ).
fof(c_0_844,plain,
! [X79,X80] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X79),X80) = X79,
inference(variable_rename,[status(thm)],[c_0_528]) ).
fof(c_0_845,plain,
! [X79,X80] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X79),X80) = X79,
inference(variable_rename,[status(thm)],[c_0_529]) ).
fof(c_0_846,plain,
! [X3,X4] :
( ~ is_fun282293932t_bool(X3)
| is_bool(hAPP_P2075002375t_bool(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_530])])])]) ).
fof(c_0_847,plain,
! [X3,X4] :
( ~ is_fun282293932t_bool(X4)
| is_fun282293932t_bool(hAPP_f1673487381t_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_531])]) ).
fof(c_0_848,plain,
! [X3,X4] :
( ~ is_fun282293932t_bool(X4)
| is_fun432044380l_bool(hAPP_f2056167603l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_532])]) ).
fof(c_0_849,plain,
! [X3,X4] :
( ~ is_fun282293932t_bool(X4)
| is_fun917378774i_bool(hAPP_f352490559i_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_533])]) ).
fof(c_0_850,plain,
! [X3,X4] :
( ~ is_fun282293932t_bool(X4)
| is_Arr625519182e_indi(hAPP_f1659504677e_indi(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_534])]) ).
fof(c_0_851,plain,
! [X3,X4] :
( ~ is_fun432044380l_bool(X4)
| is_bool(hAPP_f503012287l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_535])]) ).
fof(c_0_852,plain,
! [X3,X4] :
( ~ is_fun631676118l_bool(X4)
| is_bool(hAPP_f213304539l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_536])]) ).
fof(c_0_853,plain,
! [X3,X4] :
( ~ is_fun631676118l_bool(X3)
| is_bool(hAPP_f785543729l_bool(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_537])])])]) ).
fof(c_0_854,plain,
! [X3,X4] :
( ~ is_fun959573582l_bool(X4)
| is_bool(hAPP_f453661011l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_538])]) ).
fof(c_0_855,plain,
! [X3,X4] :
( ~ is_fun959573582l_bool(X3)
| is_bool(hAPP_f1636546729l_bool(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_539])])])]) ).
fof(c_0_856,plain,
! [X3,X4] :
( ~ is_fun917378774i_bool(X4)
| is_bool(hAPP_f919661787l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_540])]) ).
fof(c_0_857,plain,
! [X3,X4] :
( ~ is_fun1016509681e_indi(X3)
| is_Arr625519182e_indi(hAPP_n385347014e_indi(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_541])])])]) ).
fof(c_0_858,plain,
! [X3,X4] :
( ~ is_bool(X4)
| is_fun282293932t_bool(hAPP_b1024867081t_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_542])]) ).
fof(c_0_859,plain,
! [X3,X4] :
( ~ is_bool(X4)
| is_fun432044380l_bool(hAPP_b1965422783l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_543])]) ).
fof(c_0_860,plain,
! [X3,X4] :
( ~ is_bool(X4)
| is_fun631676118l_bool(hAPP_b990649139l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_544])]) ).
fof(c_0_861,plain,
! [X3,X4] :
( ~ is_bool(X4)
| is_fun959573582l_bool(hAPP_b1719629739l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_545])]) ).
fof(c_0_862,plain,
! [X3,X4] :
( ~ is_bool(X4)
| is_fun917378774i_bool(hAPP_b1018211123i_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_546])]) ).
fof(c_0_863,plain,
! [X3,X4] :
( ~ is_bool(X4)
| is_bool(hAPP_bool_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_547])]) ).
fof(c_0_864,plain,
! [X3,X4] :
( ~ is_Arr625519182e_indi(X4)
| is_fun282293932t_bool(hAPP_A1374816149t_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_548])]) ).
fof(c_0_865,plain,
! [X3,X4] :
( ~ is_Arr625519182e_indi(X4)
| is_fun432044380l_bool(hAPP_A1944296755l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_549])]) ).
fof(c_0_866,plain,
! [X3,X4] :
( ~ is_Arr625519182e_indi(X4)
| is_fun631676118l_bool(hAPP_A1964572607l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_550])]) ).
fof(c_0_867,plain,
! [X3,X4] :
( ~ is_Arr625519182e_indi(X4)
| is_fun959573582l_bool(hAPP_A1912483895l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_551])]) ).
fof(c_0_868,plain,
! [X3,X4] :
( ~ is_Arr553848933le_alt(X4)
| is_fun282293932t_bool(hAPP_A619995676t_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_552])]) ).
fof(c_0_869,plain,
! [X3,X4] :
( ~ is_fun917378774i_bool(X3)
| is_fun1016509681e_indi(hilber1792103167di_nat(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_553])])])]) ).
fof(c_0_870,plain,
! [X3,X4] :
( ~ is_fun282293932t_bool(X3)
| is_fun432044380l_bool(pi_Pro2135156861t_bool(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_554])])])]) ).
fof(c_0_871,plain,
! [X3,X4] :
( ~ is_fun959573582l_bool(X3)
| is_fun631676118l_bool(pi_fun433100839t_bool(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_555])])])]) ).
fof(c_0_872,plain,
! [X3,X4] :
( ~ is_fun917378774i_bool(X3)
| is_fun959573582l_bool(pi_Arr688267935t_bool(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_556])])])]) ).
fof(c_0_873,plain,
! [X3,X4] :
( ~ is_fun917378774i_bool(X4)
| is_bool(inj_on24934938di_nat(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_557])]) ).
fof(c_0_874,plain,
! [X70] : pi_Arr688267935t_bool(X70,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
inference(variable_rename,[status(thm)],[c_0_558]) ).
fof(c_0_875,plain,
! [X70] : pi_fun433100839t_bool(X70,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
inference(variable_rename,[status(thm)],[c_0_559]) ).
fof(c_0_876,plain,
! [X70] : pi_Pro2135156861t_bool(X70,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
inference(variable_rename,[status(thm)],[c_0_560]) ).
fof(c_0_877,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
c_0_561 ).
fof(c_0_878,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
c_0_562 ).
fof(c_0_879,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
c_0_563 ).
fof(c_0_880,axiom,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
c_0_564 ).
fof(c_0_881,plain,
! [X3,X4] : is_fun917378774i_bool(hAPP_P907763049i_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_565]) ).
fof(c_0_882,plain,
! [X3,X4] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_566]) ).
fof(c_0_883,plain,
! [X3,X4] : is_bool(hAPP_f460310451l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_567]) ).
fof(c_0_884,plain,
! [X3,X4] : is_bool(hAPP_f526292585l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_568]) ).
fof(c_0_885,plain,
! [X3,X4] : is_bool(hAPP_f592909149l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_569]) ).
fof(c_0_886,plain,
! [X3,X4] : is_bool(hAPP_f1279200745l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_570]) ).
fof(c_0_887,plain,
! [X3,X4] : is_bool(hAPP_f1766869725l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_571]) ).
fof(c_0_888,plain,
! [X3,X4] : is_bool(hAPP_f500145249l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_572]) ).
fof(c_0_889,plain,
! [X3,X4] : is_bool(hAPP_f234874197l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_573]) ).
fof(c_0_890,plain,
! [X3,X4] : is_bool(hAPP_f1895985727l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_574]) ).
fof(c_0_891,plain,
! [X3,X4] : is_bool(hAPP_f1550037191l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_575]) ).
fof(c_0_892,plain,
! [X3,X4] : is_bool(hAPP_f1271180905l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_576]) ).
fof(c_0_893,plain,
! [X3,X4] : is_bool(hAPP_f1018082273l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_577]) ).
fof(c_0_894,plain,
! [X3,X4] : is_bool(hAPP_f483434675l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_578]) ).
fof(c_0_895,plain,
! [X3,X4] : is_fun917378774i_bool(hAPP_f355113919i_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_579]) ).
fof(c_0_896,plain,
! [X3,X4] : is_Arr625519182e_indi(hAPP_f618619045e_indi(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_580]) ).
fof(c_0_897,plain,
! [X3,X4] : is_bool(hAPP_f1012384989l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_581]) ).
fof(c_0_898,plain,
! [X3,X4] : is_bool(hAPP_f204273237l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_582]) ).
fof(c_0_899,plain,
! [X3,X4] : is_bool(hAPP_f387058535l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_583]) ).
fof(c_0_900,plain,
! [X3,X4] : is_fun432044380l_bool(hAPP_f861484971l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_584]) ).
fof(c_0_901,plain,
! [X3,X4] : is_fun917378774i_bool(hAPP_f749892423i_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_585]) ).
fof(c_0_902,plain,
! [X3,X4] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_586]) ).
fof(c_0_903,plain,
! [X3,X4] : is_bool(hAPP_nat_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_587]) ).
fof(c_0_904,plain,
! [X3,X4] : is_fun917378774i_bool(cOMBC_277798809t_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_588]) ).
fof(c_0_905,plain,
! [X4] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X4)),
inference(variable_rename,[status(thm)],[c_0_589]) ).
fof(c_0_906,plain,
! [X4] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X4)),
inference(variable_rename,[status(thm)],[c_0_590]) ).
fof(c_0_907,plain,
! [X4] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X4)),
inference(variable_rename,[status(thm)],[c_0_591]) ).
fof(c_0_908,plain,
! [X4] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X4)),
inference(variable_rename,[status(thm)],[c_0_592]) ).
fof(c_0_909,plain,
! [X4] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X4)),
inference(variable_rename,[status(thm)],[c_0_593]) ).
fof(c_0_910,axiom,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
c_0_594 ).
fof(c_0_911,axiom,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
c_0_595 ).
fof(c_0_912,axiom,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
c_0_596 ).
fof(c_0_913,axiom,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
c_0_597 ).
fof(c_0_914,axiom,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
c_0_598 ).
fof(c_0_915,axiom,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
c_0_599 ).
fof(c_0_916,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
c_0_600 ).
fof(c_0_917,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
c_0_601 ).
fof(c_0_918,plain,
! [X2] :
( ~ is_fun282293932t_bool(X2)
| is_fun282293932t_bool(collec1711870802le_alt(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_602])]) ).
fof(c_0_919,plain,
! [X2] :
( ~ is_fun432044380l_bool(X2)
| is_fun432044380l_bool(collec874260222t_bool(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_603])]) ).
fof(c_0_920,plain,
! [X2] :
( ~ is_fun631676118l_bool(X2)
| is_fun631676118l_bool(collec1520786044t_bool(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_604])]) ).
fof(c_0_921,plain,
! [X2] :
( ~ is_fun959573582l_bool(X2)
| is_fun959573582l_bool(collec1580242420t_bool(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_605])]) ).
fof(c_0_922,plain,
! [X2] :
( ~ is_fun917378774i_bool(X2)
| is_fun917378774i_bool(collec45183100e_indi(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_606])]) ).
fof(c_0_923,plain,
! [X9] :
( ~ is_fun917378774i_bool(X9)
| collec45183100e_indi(X9) = X9 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_607])]) ).
fof(c_0_924,plain,
! [X76] :
( ~ is_bool(X76)
| X76 = fTrue
| X76 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_608])]) ).
fof(c_0_925,plain,
! [X76] :
( ~ is_bool(X76)
| X76 = fTrue
| X76 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_609])]) ).
fof(c_0_926,axiom,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
c_0_610 ).
fof(c_0_927,axiom,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
c_0_611 ).
fof(c_0_928,axiom,
hBOOL(fTrue),
c_0_612 ).
fof(c_0_929,axiom,
is_Arr553848933le_alt(e),
c_0_613 ).
fof(c_0_930,axiom,
is_Arr553848933le_alt(b),
c_0_614 ).
fof(c_0_931,axiom,
is_Arr553848933le_alt(a),
c_0_615 ).
fof(c_0_932,axiom,
is_fun282293932t_bool(lba),
c_0_616 ).
fof(c_0_933,axiom,
is_fun282293932t_bool(lab),
c_0_617 ).
fof(c_0_934,axiom,
is_bool(fTrue),
c_0_618 ).
fof(c_0_935,axiom,
is_bool(fFalse),
c_0_619 ).
fof(c_0_936,axiom,
is_fun282293932t_bool(top_to2034604131t_bool),
c_0_620 ).
fof(c_0_937,axiom,
is_fun432044380l_bool(top_to2005687013l_bool),
c_0_621 ).
fof(c_0_938,axiom,
is_fun631676118l_bool(top_to40512653l_bool),
c_0_622 ).
fof(c_0_939,axiom,
is_fun959573582l_bool(top_to1194196741l_bool),
c_0_623 ).
fof(c_0_940,axiom,
is_fun917378774i_bool(top_to1256827021i_bool),
c_0_624 ).
fof(c_0_941,axiom,
is_bool(top_top_bool),
c_0_625 ).
fof(c_0_942,axiom,
is_fun631676118l_bool(arrow_467566751nimity),
c_0_626 ).
fof(c_0_943,axiom,
is_fun959573582l_bool(arrow_413697182e_Prof),
c_0_627 ).
fof(c_0_944,axiom,
is_fun432044380l_bool(arrow_1239002508le_Lin),
c_0_628 ).
fof(c_0_945,axiom,
is_fun631676118l_bool(arrow_1212118780le_IIA),
c_0_629 ).
fof(c_0_946,axiom,
a != b,
c_0_630 ).
fof(c_0_947,axiom,
c != d,
c_0_631 ).
cnf(c_0_948,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_632]) ).
cnf(c_0_949,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_950,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_951,plain,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_952,plain,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_953,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_632]) ).
cnf(c_0_954,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_955,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_956,plain,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_957,plain,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_958,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_959,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_960,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_961,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_962,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(split_conjunct,[status(thm)],[c_0_637]) ).
cnf(c_0_963,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(split_conjunct,[status(thm)],[c_0_638]) ).
cnf(c_0_964,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_965,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_966,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_967,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_968,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(split_conjunct,[status(thm)],[c_0_637]) ).
cnf(c_0_969,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(split_conjunct,[status(thm)],[c_0_638]) ).
cnf(c_0_970,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(split_conjunct,[status(thm)],[c_0_639]) ).
cnf(c_0_971,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(split_conjunct,[status(thm)],[c_0_640]) ).
cnf(c_0_972,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(split_conjunct,[status(thm)],[c_0_641]) ).
cnf(c_0_973,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(split_conjunct,[status(thm)],[c_0_642]) ).
cnf(c_0_974,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(esk2_6(X6,X5,X4,X3,X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_632]) ).
cnf(c_0_975,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| is_Arr625519182e_indi(esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_976,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| is_Arr625519182e_indi(esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_977,plain,
( X2 = X1
| X4 = X3
| is_Arr625519182e_indi(esk4_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_978,plain,
( X2 = X1
| X4 = X3
| is_Arr625519182e_indi(esk4_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_979,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_980,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_981,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_982,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_983,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X2,esk14_4(X1,X2,X4,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_984,plain,
( is_Arr625519182e_indi(esk9_5(X1,X2,X3,X5,X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_985,plain,
( is_Arr625519182e_indi(esk9_5(X1,X2,X3,X5,X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_986,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| is_Arr625519182e_indi(esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_987,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| is_Arr625519182e_indi(esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_988,plain,
( 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,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_989,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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_990,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_991,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),X1)),lab),lba)),arrow_413697182e_Prof)),
inference(split_conjunct,[status(thm)],[c_0_647]) ).
cnf(c_0_992,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_993,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_994,plain,
( 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,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_995,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_996,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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_997,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_998,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_999,plain,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1000,plain,
( X1 = X2
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X2,X1),esk19_2(X2,X1))),X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X2,X1),esk19_2(X2,X1))),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_1001,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1002,plain,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1003,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1004,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1005,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X2,X1),esk27_2(X2,X1))),hAPP_f695124765t_bool(X1,esk25_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_1006,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1007,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1008,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1009,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1010,plain,
( 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1011,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1012,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1013,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1014,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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1015,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1016,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1017,plain,
( X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X2,X1),esk19_2(X2,X1))),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X2,X1),esk19_2(X2,X1))),X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_1018,plain,
( X2 = X1
| is_Arr625519182e_indi(esk5_4(X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_1019,plain,
( X2 = X1
| is_Arr625519182e_indi(esk5_4(X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_1020,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1021,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1022,plain,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1023,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ 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,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1024,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1025,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X2,X1),esk27_2(X2,X1))),hAPP_A1374816149t_bool(esk25_2(X2,X1),X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_1026,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1027,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1028,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1029,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1030,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1031,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1032,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1033,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk11_1(X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk10_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_1034,plain,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1035,plain,
( X2 = X1
| X4 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1036,plain,
( X2 = X1
| X4 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1037,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1038,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1039,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1040,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1041,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1042,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1043,plain,
( X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1044,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk11_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk10_1(X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_1045,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk10_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk11_1(X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_1046,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1047,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1048,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1049,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1050,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1051,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(esk14_4(X1,X2,X4,X3))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_1052,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1053,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1054,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1),X2),X3)),arrow_1239002508le_Lin))
| X2 = X3
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_651]) ).
cnf(c_0_1055,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1056,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk11_1(X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk10_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_1057,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_1058,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_1059,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1060,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1061,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1062,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_1063,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1064,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_1065,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_1066,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_1067,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_1068,plain,
( X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_654]) ).
cnf(c_0_1069,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X1),esk17_1(X1))),hAPP_f695124765t_bool(X1,esk15_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_1070,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[c_0_655]) ).
cnf(c_0_1071,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_1072,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_1073,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_658]) ).
cnf(c_0_1074,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_659]) ).
cnf(c_0_1075,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_660]) ).
cnf(c_0_1076,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_661]) ).
cnf(c_0_1077,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_662]) ).
cnf(c_0_1078,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_663]) ).
cnf(c_0_1079,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_664]) ).
cnf(c_0_1080,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_665]) ).
cnf(c_0_1081,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_666]) ).
cnf(c_0_1082,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_667]) ).
cnf(c_0_1083,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_668]) ).
cnf(c_0_1084,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_669]) ).
cnf(c_0_1085,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_1086,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_1087,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_672]) ).
cnf(c_0_1088,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X2
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_1089,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 != X2
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_1090,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk25_2(X2,X1)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_1091,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_1092,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_1093,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_1094,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(split_conjunct,[status(thm)],[c_0_673]) ).
cnf(c_0_1095,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),hAPP_A1944296755l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_674]) ).
cnf(c_0_1096,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),hAPP_f861484971l_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_675]) ).
cnf(c_0_1097,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),hAPP_b1965422783l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_676]) ).
cnf(c_0_1098,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),hAPP_b990649139l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_677]) ).
cnf(c_0_1099,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),hAPP_A1964572607l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_678]) ).
cnf(c_0_1100,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),hAPP_b1719629739l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_679]) ).
cnf(c_0_1101,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),hAPP_A1912483895l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_680]) ).
cnf(c_0_1102,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),hAPP_b1024867081t_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_681]) ).
cnf(c_0_1103,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_682]) ).
cnf(c_0_1104,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),hAPP_f417299659l_bool(X3,X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_683]) ).
cnf(c_0_1105,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),hAPP_f352490559i_bool(X3,X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_684]) ).
cnf(c_0_1106,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),hAPP_f497468491l_bool(X3,X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_1107,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),hAPP_f355113919i_bool(X3,X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_1108,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),hAPP_f313042899l_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_687]) ).
cnf(c_0_1109,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),hAPP_f749892423i_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_688]) ).
cnf(c_0_1110,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),hAPP_P907763049i_bool(X3,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_689]) ).
cnf(c_0_1111,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),hAPP_P2127852789l_bool(X3,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_690]) ).
cnf(c_0_1112,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X3,X1)),hAPP_A1944296755l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),pi_Arr688267935t_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_691]) ).
cnf(c_0_1113,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X3,X1)),hAPP_f861484971l_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),pi_fun433100839t_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_692]) ).
cnf(c_0_1114,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X3,X1)),hAPP_f417299659l_bool(X4,X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X3),pi_fun1727820731l_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_693]) ).
cnf(c_0_1115,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X3,X1)),hAPP_f352490559i_bool(X4,X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X3),pi_fun972956463e_indi(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_694]) ).
cnf(c_0_1116,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X3,X1)),hAPP_f497468491l_bool(X4,X1)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X3),pi_fun525942951l_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_695]) ).
cnf(c_0_1117,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X3,X1)),hAPP_f355113919i_bool(X4,X1)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X3),pi_fun2075749915e_indi(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_696]) ).
cnf(c_0_1118,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X3,X1)),hAPP_f313042899l_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X3),pi_fun1494794527l_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_697]) ).
cnf(c_0_1119,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X3,X1)),hAPP_f749892423i_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X3),pi_fun1736243859e_indi(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_698]) ).
cnf(c_0_1120,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X3,X1)),hAPP_P907763049i_bool(X4,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X3),pi_Pro437273841e_indi(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_699]) ).
cnf(c_0_1121,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X3,X1)),hAPP_b1965422783l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X3),pi_boo2007389459t_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_700]) ).
cnf(c_0_1122,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X3,X1)),hAPP_b990649139l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X3),pi_boo71521447t_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_701]) ).
cnf(c_0_1123,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X3,X1)),hAPP_A1964572607l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X3),pi_Arr372473371t_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_702]) ).
cnf(c_0_1124,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X3,X1)),hAPP_b1719629739l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X3),pi_boo691944735t_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_703]) ).
cnf(c_0_1125,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X3,X1)),hAPP_A1912483895l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X3),pi_Arr1511953043t_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_704]) ).
cnf(c_0_1126,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X3,X1)),hAPP_b1024867081t_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X3),pi_boo1877522301le_alt(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_705]) ).
cnf(c_0_1127,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X3,X1)),hAPP_A1374816149t_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X3),pi_Arr149813489le_alt(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_706]) ).
cnf(c_0_1128,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X3,X1)),hAPP_P2127852789l_bool(X4,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),pi_Pro2135156861t_bool(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_707]) ).
cnf(c_0_1129,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_1130,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_1131,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X1),X2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[c_0_708]) ).
cnf(c_0_1132,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X1),X2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[c_0_709]) ).
cnf(c_0_1133,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| esk26_2(X2,X1) != esk27_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_1134,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[c_0_654]) ).
cnf(c_0_1135,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| is_Arr553848933le_alt(esk26_2(X2,X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_1136,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| is_Arr553848933le_alt(esk27_2(X2,X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_1137,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| hAPP_A588601142di_nat(h,X1) != n ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_1138,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X1),esk17_1(X1))),hAPP_A1374816149t_bool(esk15_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_1139,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_1140,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_1141,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_1142,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_1143,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_710]) ).
cnf(c_0_1144,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_711]) ).
cnf(c_0_1145,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_712]) ).
cnf(c_0_1146,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_713]) ).
cnf(c_0_1147,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_714]) ).
cnf(c_0_1148,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X3))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_715]) ).
cnf(c_0_1149,plain,
( X1 = X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(inj_on24934938di_nat(X4,X3))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(split_conjunct,[status(thm)],[c_0_716]) ).
cnf(c_0_1150,plain,
( X1 = X2
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_717]) ).
cnf(c_0_1151,plain,
( X2 = X3
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ is_Arr625519182e_indi(X3)
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[c_0_718]) ).
cnf(c_0_1152,plain,
( X1 = X2
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1153,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_720]) ).
cnf(c_0_1154,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_721]) ).
cnf(c_0_1155,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_722]) ).
cnf(c_0_1156,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_723]) ).
cnf(c_0_1157,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_724]) ).
cnf(c_0_1158,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_725]) ).
cnf(c_0_1159,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_726]) ).
cnf(c_0_1160,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_727]) ).
cnf(c_0_1161,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_728]) ).
cnf(c_0_1162,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_729]) ).
cnf(c_0_1163,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_730]) ).
cnf(c_0_1164,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| ~ hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(esk7_1(X1),esk8_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_731]) ).
cnf(c_0_1165,plain,
( hilber1792103167di_nat(top_to1256827021i_bool,X1) = X2
| hAPP_A588601142di_nat(X1,hAPP_n385347014e_indi(X2,esk22_2(X2,X1))) != esk22_2(X2,X1)
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_fun1016509681e_indi(X2) ),
inference(split_conjunct,[status(thm)],[c_0_732]) ).
cnf(c_0_1166,plain,
( hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2)
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_717]) ).
cnf(c_0_1167,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk29_2(X1,X2)),arrow_413697182e_Prof)) ),
inference(split_conjunct,[status(thm)],[c_0_733]) ).
cnf(c_0_1168,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),esk28_2(X2,X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_734]) ).
cnf(c_0_1169,plain,
( hAPP_f695124765t_bool(X1,X2) = hAPP_A1374816149t_bool(X2,X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_733]) ).
cnf(c_0_1170,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hAPP_f695124765t_bool(X1,esk29_2(X1,X2)) != hAPP_A1374816149t_bool(esk29_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_733]) ).
cnf(c_0_1171,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_735]) ).
cnf(c_0_1172,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_736]) ).
cnf(c_0_1173,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_737]) ).
cnf(c_0_1174,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_738]) ).
cnf(c_0_1175,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_739]) ).
cnf(c_0_1176,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_740]) ).
cnf(c_0_1177,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_741]) ).
cnf(c_0_1178,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_742]) ).
cnf(c_0_1179,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_743]) ).
cnf(c_0_1180,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[c_0_744]) ).
cnf(c_0_1181,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),hAPP_A588601142di_nat(X2,X3)) = X3
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X1))
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X3) ),
inference(split_conjunct,[status(thm)],[c_0_745]) ).
cnf(c_0_1182,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),X3) = X4
| hAPP_A588601142di_nat(X2,X4) != X3
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X1))
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X4) ),
inference(split_conjunct,[status(thm)],[c_0_746]) ).
cnf(c_0_1183,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
inference(split_conjunct,[status(thm)],[c_0_747]) ).
cnf(c_0_1184,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
inference(split_conjunct,[status(thm)],[c_0_748]) ).
cnf(c_0_1185,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk20_2(X1,X2)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1186,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk21_2(X1,X2)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1187,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(X2,X3)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_P2075002375t_bool(X1,esk6_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_731]) ).
cnf(c_0_1188,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
inference(split_conjunct,[status(thm)],[c_0_749]) ).
cnf(c_0_1189,plain,
( X2 = X1
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(esk28_2(X2,X1)),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_734]) ).
cnf(c_0_1190,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_750]) ).
cnf(c_0_1191,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_720]) ).
cnf(c_0_1192,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_751]) ).
cnf(c_0_1193,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_735]) ).
cnf(c_0_1194,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_752]) ).
cnf(c_0_1195,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_1196,plain,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
inference(split_conjunct,[status(thm)],[c_0_754]) ).
cnf(c_0_1197,plain,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| ~ hBOOL(top_top_bool)
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_755]) ).
cnf(c_0_1198,plain,
( ~ is_fun917378774i_bool(X1)
| X1 != top_to1256827021i_bool
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_756]) ).
cnf(c_0_1199,plain,
( ~ is_fun282293932t_bool(X1)
| X1 != top_to2034604131t_bool
| ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_757]) ).
cnf(c_0_1200,plain,
( ~ is_fun631676118l_bool(X1)
| X1 != top_to40512653l_bool
| ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_758]) ).
cnf(c_0_1201,plain,
( ~ is_fun959573582l_bool(X1)
| X1 != top_to1194196741l_bool
| ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_759]) ).
cnf(c_0_1202,plain,
( ~ is_fun432044380l_bool(X1)
| X1 != top_to2005687013l_bool
| ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_760]) ).
cnf(c_0_1203,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_750]) ).
cnf(c_0_1204,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_750]) ).
cnf(c_0_1205,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_720]) ).
cnf(c_0_1206,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_761]) ).
cnf(c_0_1207,plain,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_762]) ).
cnf(c_0_1208,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_763]) ).
cnf(c_0_1209,plain,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_764]) ).
cnf(c_0_1210,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_765]) ).
cnf(c_0_1211,plain,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_766]) ).
cnf(c_0_1212,plain,
( hBOOL(top_top_bool)
| hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_755]) ).
cnf(c_0_1213,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_767]) ).
cnf(c_0_1214,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_768]) ).
cnf(c_0_1215,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_769]) ).
cnf(c_0_1216,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
inference(split_conjunct,[status(thm)],[c_0_770]) ).
cnf(c_0_1217,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
inference(split_conjunct,[status(thm)],[c_0_771]) ).
cnf(c_0_1218,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),hAPP_A588601142di_nat(X1,X2)) = X2
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[c_0_772]) ).
cnf(c_0_1219,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),X2) = X3
| hAPP_A588601142di_nat(X1,X3) != X2
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X3) ),
inference(split_conjunct,[status(thm)],[c_0_773]) ).
cnf(c_0_1220,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hAPP_A588601142di_nat(X1,esk20_2(X1,X2)) = hAPP_A588601142di_nat(X1,esk21_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1221,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_774]) ).
cnf(c_0_1222,plain,
~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_775]) ).
cnf(c_0_1223,plain,
~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_776]) ).
cnf(c_0_1224,plain,
~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_777]) ).
cnf(c_0_1225,plain,
~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_778]) ).
cnf(c_0_1226,plain,
~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_779]) ).
cnf(c_0_1227,plain,
hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X1,X2),X3) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1,X3),hAPP_A1374816149t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_780]) ).
cnf(c_0_1228,plain,
hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X1,X2),X3) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1,X3),hAPP_A1374816149t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_781]) ).
cnf(c_0_1229,plain,
( X1 = X2
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(split_conjunct,[status(thm)],[c_0_782]) ).
cnf(c_0_1230,plain,
( X2 = X1
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X2) != hAPP_A588601142di_nat(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_783]) ).
cnf(c_0_1231,plain,
( hBOOL(hAPP_f745298353l_bool(X1,X2))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_784]) ).
cnf(c_0_1232,plain,
( hBOOL(hAPP_f785543729l_bool(X1,X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_785]) ).
cnf(c_0_1233,plain,
( hBOOL(hAPP_f1636546729l_bool(X1,X2))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_786]) ).
cnf(c_0_1234,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_787]) ).
cnf(c_0_1235,plain,
( hBOOL(hAPP_bool_bool(X1,X2))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_788]) ).
cnf(c_0_1236,plain,
( hBOOL(hAPP_A1466488369i_bool(X1,X2))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_789]) ).
cnf(c_0_1237,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk15_1(X1)),arrow_413697182e_Prof)) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_1238,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk10_1(X1)),arrow_413697182e_Prof)) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_1239,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk11_1(X1)),arrow_413697182e_Prof)) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_1240,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f745298353l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_784]) ).
cnf(c_0_1241,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f785543729l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_785]) ).
cnf(c_0_1242,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f1636546729l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_786]) ).
cnf(c_0_1243,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_P2075002375t_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_787]) ).
cnf(c_0_1244,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_bool_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_788]) ).
cnf(c_0_1245,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_A1466488369i_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_789]) ).
cnf(c_0_1246,plain,
( hAPP_A588601142di_nat(X3,X2) = hAPP_A588601142di_nat(X3,X1)
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_783]) ).
cnf(c_0_1247,plain,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X1),X2) = X2
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_790]) ).
cnf(c_0_1248,plain,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_791]) ).
cnf(c_0_1249,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| hBOOL(top_top_bool)
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_755]) ).
cnf(c_0_1250,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| hBOOL(X1)
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[c_0_755]) ).
cnf(c_0_1251,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool))
| X1 = top_to1256827021i_bool
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_756]) ).
cnf(c_0_1252,plain,
( hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool))
| X1 = top_to2034604131t_bool
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_757]) ).
cnf(c_0_1253,plain,
( hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool))
| X1 = top_to40512653l_bool
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_758]) ).
cnf(c_0_1254,plain,
( hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool))
| X1 = top_to1194196741l_bool
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_759]) ).
cnf(c_0_1255,plain,
( hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool))
| X1 = top_to2005687013l_bool
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_760]) ).
cnf(c_0_1256,plain,
hAPP_A869356733t_bool(cOMBB_963584201e_indi(X1,X2),X3) = hAPP_b1915039793t_bool(X1,hAPP_A1466488369i_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_792]) ).
cnf(c_0_1257,plain,
hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X1,X2),X3) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_793]) ).
cnf(c_0_1258,plain,
hAPP_A460042315t_bool(cOMBB_69933763e_indi(X1,X2),X3) = hAPP_f1336478923t_bool(X1,hAPP_A1374816149t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_794]) ).
cnf(c_0_1259,plain,
hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X1,X2),X3) = hAPP_f1290184496t_bool(X1,hAPP_A1374816149t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_795]) ).
cnf(c_0_1260,plain,
hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X1,X2),X3) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_796]) ).
cnf(c_0_1261,plain,
hAPP_A702630576t_bool(cOMBC_493523632t_bool(X1,X2),X3) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_797]) ).
cnf(c_0_1262,plain,
hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X1,X2),X3) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_798]) ).
cnf(c_0_1263,plain,
hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X1,X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_A588601142di_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_799]) ).
cnf(c_0_1264,plain,
hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X1,X2),X3) = hAPP_nat_bool(hAPP_A1922697556t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_800]) ).
cnf(c_0_1265,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_801]) ).
cnf(c_0_1266,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
inference(split_conjunct,[status(thm)],[c_0_802]) ).
cnf(c_0_1267,plain,
( X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_803]) ).
cnf(c_0_1268,plain,
( X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_803]) ).
cnf(c_0_1269,plain,
( X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_804]) ).
cnf(c_0_1270,plain,
( X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_804]) ).
cnf(c_0_1271,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| esk20_2(X1,X2) != esk21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1272,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1,esk23_1(X1)) = hAPP_A588601142di_nat(X1,esk24_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_805]) ).
cnf(c_0_1273,plain,
( produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| X3 != X1
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_803]) ).
cnf(c_0_1274,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| is_Arr625519182e_indi(esk20_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1275,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| is_Arr625519182e_indi(esk21_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1276,plain,
( X2 = X1
| is_fun282293932t_bool(esk28_2(X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_734]) ).
cnf(c_0_1277,plain,
( X1 = X2
| is_Arr553848933le_alt(esk18_2(X2,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_1278,plain,
( X1 = X2
| is_Arr553848933le_alt(esk19_2(X2,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_1279,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_806]) ).
cnf(c_0_1280,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_807]) ).
cnf(c_0_1281,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_808]) ).
cnf(c_0_1282,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_809]) ).
cnf(c_0_1283,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_810]) ).
cnf(c_0_1284,plain,
( hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X1),X2) = X1
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_811]) ).
cnf(c_0_1285,plain,
( hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_812]) ).
cnf(c_0_1286,plain,
( hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X1),X2) = X1
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_813]) ).
cnf(c_0_1287,plain,
( hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_814]) ).
cnf(c_0_1288,plain,
( hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_815]) ).
cnf(c_0_1289,plain,
( hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X1),X2) = X1
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_816]) ).
cnf(c_0_1290,plain,
( hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_817]) ).
cnf(c_0_1291,plain,
( hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X1),X2) = X1
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_818]) ).
cnf(c_0_1292,plain,
( hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_819]) ).
cnf(c_0_1293,plain,
( hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_820]) ).
cnf(c_0_1294,plain,
( hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_821]) ).
cnf(c_0_1295,plain,
( hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_822]) ).
cnf(c_0_1296,plain,
( hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_823]) ).
cnf(c_0_1297,plain,
( hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_824]) ).
cnf(c_0_1298,plain,
( hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_825]) ).
cnf(c_0_1299,plain,
( hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_826]) ).
cnf(c_0_1300,plain,
( hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_827]) ).
cnf(c_0_1301,plain,
( hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_828]) ).
cnf(c_0_1302,plain,
( is_bool(hAPP_A1466488369i_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2)
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_829]) ).
cnf(c_0_1303,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| is_Arr553848933le_alt(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_731]) ).
cnf(c_0_1304,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| is_Arr553848933le_alt(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_731]) ).
cnf(c_0_1305,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| esk23_1(X1) != esk24_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_805]) ).
cnf(c_0_1306,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),top_to2005687013l_bool)),
inference(split_conjunct,[status(thm)],[c_0_830]) ).
cnf(c_0_1307,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),top_to40512653l_bool)),
inference(split_conjunct,[status(thm)],[c_0_831]) ).
cnf(c_0_1308,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),top_to1194196741l_bool)),
inference(split_conjunct,[status(thm)],[c_0_832]) ).
cnf(c_0_1309,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),top_to2034604131t_bool)),
inference(split_conjunct,[status(thm)],[c_0_833]) ).
cnf(c_0_1310,plain,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),top_to1256827021i_bool)),
inference(split_conjunct,[status(thm)],[c_0_834]) ).
cnf(c_0_1311,plain,
hBOOL(hAPP_f387058535l_bool(member_bool(X1),top_to1647826457l_bool)),
inference(split_conjunct,[status(thm)],[c_0_835]) ).
cnf(c_0_1312,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),top_to2005687013l_bool)),
inference(split_conjunct,[status(thm)],[c_0_836]) ).
cnf(c_0_1313,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),top_to40512653l_bool)),
inference(split_conjunct,[status(thm)],[c_0_837]) ).
cnf(c_0_1314,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),top_to1194196741l_bool)),
inference(split_conjunct,[status(thm)],[c_0_838]) ).
cnf(c_0_1315,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),top_to2034604131t_bool)),
inference(split_conjunct,[status(thm)],[c_0_839]) ).
cnf(c_0_1316,plain,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),top_to1256827021i_bool)),
inference(split_conjunct,[status(thm)],[c_0_840]) ).
cnf(c_0_1317,plain,
hBOOL(hAPP_f387058535l_bool(member_bool(X1),top_to1647826457l_bool)),
inference(split_conjunct,[status(thm)],[c_0_841]) ).
cnf(c_0_1318,plain,
hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_842]) ).
cnf(c_0_1319,plain,
hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_843]) ).
cnf(c_0_1320,plain,
hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_844]) ).
cnf(c_0_1321,plain,
hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_845]) ).
cnf(c_0_1322,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| is_Arr625519182e_indi(esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_805]) ).
cnf(c_0_1323,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| is_Arr625519182e_indi(esk24_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_805]) ).
cnf(c_0_1324,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr553848933le_alt(esk16_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_1325,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr553848933le_alt(esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_1326,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| is_Arr553848933le_alt(esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_1327,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| is_Arr553848933le_alt(esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_1328,plain,
( is_bool(hAPP_P2075002375t_bool(X1,X2))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_846]) ).
cnf(c_0_1329,plain,
( is_fun282293932t_bool(hAPP_f1673487381t_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_847]) ).
cnf(c_0_1330,plain,
( is_fun432044380l_bool(hAPP_f2056167603l_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_848]) ).
cnf(c_0_1331,plain,
( is_fun917378774i_bool(hAPP_f352490559i_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_849]) ).
cnf(c_0_1332,plain,
( is_Arr625519182e_indi(hAPP_f1659504677e_indi(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_850]) ).
cnf(c_0_1333,plain,
( is_bool(hAPP_f503012287l_bool(X1,X2))
| ~ is_fun432044380l_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_851]) ).
cnf(c_0_1334,plain,
( is_bool(hAPP_f213304539l_bool(X1,X2))
| ~ is_fun631676118l_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_852]) ).
cnf(c_0_1335,plain,
( is_bool(hAPP_f785543729l_bool(X1,X2))
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_853]) ).
cnf(c_0_1336,plain,
( is_bool(hAPP_f453661011l_bool(X1,X2))
| ~ is_fun959573582l_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_854]) ).
cnf(c_0_1337,plain,
( is_bool(hAPP_f1636546729l_bool(X1,X2))
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_855]) ).
cnf(c_0_1338,plain,
( is_bool(hAPP_f919661787l_bool(X1,X2))
| ~ is_fun917378774i_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_856]) ).
cnf(c_0_1339,plain,
( is_Arr625519182e_indi(hAPP_n385347014e_indi(X1,X2))
| ~ is_fun1016509681e_indi(X1) ),
inference(split_conjunct,[status(thm)],[c_0_857]) ).
cnf(c_0_1340,plain,
( is_fun282293932t_bool(hAPP_b1024867081t_bool(X1,X2))
| ~ is_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_858]) ).
cnf(c_0_1341,plain,
( is_fun432044380l_bool(hAPP_b1965422783l_bool(X1,X2))
| ~ is_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_859]) ).
cnf(c_0_1342,plain,
( is_fun631676118l_bool(hAPP_b990649139l_bool(X1,X2))
| ~ is_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_860]) ).
cnf(c_0_1343,plain,
( is_fun959573582l_bool(hAPP_b1719629739l_bool(X1,X2))
| ~ is_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_861]) ).
cnf(c_0_1344,plain,
( is_fun917378774i_bool(hAPP_b1018211123i_bool(X1,X2))
| ~ is_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_862]) ).
cnf(c_0_1345,plain,
( is_bool(hAPP_bool_bool(X1,X2))
| ~ is_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_863]) ).
cnf(c_0_1346,plain,
( is_fun282293932t_bool(hAPP_A1374816149t_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[c_0_864]) ).
cnf(c_0_1347,plain,
( is_fun432044380l_bool(hAPP_A1944296755l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[c_0_865]) ).
cnf(c_0_1348,plain,
( is_fun631676118l_bool(hAPP_A1964572607l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[c_0_866]) ).
cnf(c_0_1349,plain,
( is_fun959573582l_bool(hAPP_A1912483895l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[c_0_867]) ).
cnf(c_0_1350,plain,
( is_fun282293932t_bool(hAPP_A619995676t_bool(X1,X2))
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_868]) ).
cnf(c_0_1351,plain,
( is_fun1016509681e_indi(hilber1792103167di_nat(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_869]) ).
cnf(c_0_1352,plain,
( is_fun432044380l_bool(pi_Pro2135156861t_bool(X1,X2))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_870]) ).
cnf(c_0_1353,plain,
( is_fun631676118l_bool(pi_fun433100839t_bool(X1,X2))
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_871]) ).
cnf(c_0_1354,plain,
( is_fun959573582l_bool(pi_Arr688267935t_bool(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_872]) ).
cnf(c_0_1355,plain,
( is_bool(inj_on24934938di_nat(X1,X2))
| ~ is_fun917378774i_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_873]) ).
cnf(c_0_1356,plain,
pi_Arr688267935t_bool(X1,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_1357,plain,
pi_fun433100839t_bool(X1,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
inference(split_conjunct,[status(thm)],[c_0_875]) ).
cnf(c_0_1358,plain,
pi_Pro2135156861t_bool(X1,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
inference(split_conjunct,[status(thm)],[c_0_876]) ).
cnf(c_0_1359,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
inference(split_conjunct,[status(thm)],[c_0_877]) ).
cnf(c_0_1360,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
inference(split_conjunct,[status(thm)],[c_0_878]) ).
cnf(c_0_1361,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
inference(split_conjunct,[status(thm)],[c_0_879]) ).
cnf(c_0_1362,plain,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
inference(split_conjunct,[status(thm)],[c_0_880]) ).
cnf(c_0_1363,plain,
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[c_0_806]) ).
cnf(c_0_1364,plain,
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[c_0_807]) ).
cnf(c_0_1365,plain,
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[c_0_808]) ).
cnf(c_0_1366,plain,
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[c_0_809]) ).
cnf(c_0_1367,plain,
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[c_0_810]) ).
cnf(c_0_1368,plain,
is_fun917378774i_bool(hAPP_P907763049i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_881]) ).
cnf(c_0_1369,plain,
is_Arr625519182e_indi(hAPP_P2024088443e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_882]) ).
cnf(c_0_1370,plain,
is_bool(hAPP_f460310451l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_883]) ).
cnf(c_0_1371,plain,
is_bool(hAPP_f526292585l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_884]) ).
cnf(c_0_1372,plain,
is_bool(hAPP_f592909149l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_885]) ).
cnf(c_0_1373,plain,
is_bool(hAPP_f1279200745l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_886]) ).
cnf(c_0_1374,plain,
is_bool(hAPP_f1766869725l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_887]) ).
cnf(c_0_1375,plain,
is_bool(hAPP_f500145249l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_888]) ).
cnf(c_0_1376,plain,
is_bool(hAPP_f234874197l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_889]) ).
cnf(c_0_1377,plain,
is_bool(hAPP_f1895985727l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_890]) ).
cnf(c_0_1378,plain,
is_bool(hAPP_f1550037191l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_891]) ).
cnf(c_0_1379,plain,
is_bool(hAPP_f1271180905l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_892]) ).
cnf(c_0_1380,plain,
is_bool(hAPP_f1018082273l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_893]) ).
cnf(c_0_1381,plain,
is_bool(hAPP_f483434675l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_894]) ).
cnf(c_0_1382,plain,
is_fun917378774i_bool(hAPP_f355113919i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_895]) ).
cnf(c_0_1383,plain,
is_Arr625519182e_indi(hAPP_f618619045e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_896]) ).
cnf(c_0_1384,plain,
is_bool(hAPP_f1012384989l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_1385,plain,
is_bool(hAPP_f204273237l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_898]) ).
cnf(c_0_1386,plain,
is_bool(hAPP_f387058535l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_899]) ).
cnf(c_0_1387,plain,
is_fun432044380l_bool(hAPP_f861484971l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_900]) ).
cnf(c_0_1388,plain,
is_fun917378774i_bool(hAPP_f749892423i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_901]) ).
cnf(c_0_1389,plain,
is_Arr625519182e_indi(hAPP_f1818473245e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_902]) ).
cnf(c_0_1390,plain,
is_bool(hAPP_nat_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_903]) ).
cnf(c_0_1391,plain,
is_fun917378774i_bool(cOMBC_277798809t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_904]) ).
cnf(c_0_1392,plain,
hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)),
inference(split_conjunct,[status(thm)],[c_0_905]) ).
cnf(c_0_1393,plain,
hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)),
inference(split_conjunct,[status(thm)],[c_0_906]) ).
cnf(c_0_1394,plain,
hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)),
inference(split_conjunct,[status(thm)],[c_0_907]) ).
cnf(c_0_1395,plain,
hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)),
inference(split_conjunct,[status(thm)],[c_0_908]) ).
cnf(c_0_1396,plain,
hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)),
inference(split_conjunct,[status(thm)],[c_0_909]) ).
cnf(c_0_1397,plain,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
inference(split_conjunct,[status(thm)],[c_0_910]) ).
cnf(c_0_1398,plain,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
inference(split_conjunct,[status(thm)],[c_0_911]) ).
cnf(c_0_1399,plain,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[c_0_912]) ).
cnf(c_0_1400,plain,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[c_0_913]) ).
cnf(c_0_1401,plain,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[c_0_914]) ).
cnf(c_0_1402,plain,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
inference(split_conjunct,[status(thm)],[c_0_915]) ).
cnf(c_0_1403,plain,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
inference(split_conjunct,[status(thm)],[c_0_916]) ).
cnf(c_0_1404,plain,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
inference(split_conjunct,[status(thm)],[c_0_917]) ).
cnf(c_0_1405,plain,
( is_fun282293932t_bool(collec1711870802le_alt(X1))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_918]) ).
cnf(c_0_1406,plain,
( is_fun432044380l_bool(collec874260222t_bool(X1))
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_919]) ).
cnf(c_0_1407,plain,
( is_fun631676118l_bool(collec1520786044t_bool(X1))
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_920]) ).
cnf(c_0_1408,plain,
( is_fun959573582l_bool(collec1580242420t_bool(X1))
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_921]) ).
cnf(c_0_1409,plain,
( is_fun917378774i_bool(collec45183100e_indi(X1))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_922]) ).
cnf(c_0_1410,plain,
( collec45183100e_indi(X1) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_923]) ).
cnf(c_0_1411,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_924]) ).
cnf(c_0_1412,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_925]) ).
cnf(c_0_1413,plain,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
inference(split_conjunct,[status(thm)],[c_0_926]) ).
cnf(c_0_1414,plain,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
inference(split_conjunct,[status(thm)],[c_0_927]) ).
cnf(c_0_1415,plain,
hBOOL(fTrue),
inference(split_conjunct,[status(thm)],[c_0_928]) ).
cnf(c_0_1416,plain,
is_Arr553848933le_alt(e),
inference(split_conjunct,[status(thm)],[c_0_929]) ).
cnf(c_0_1417,plain,
is_Arr553848933le_alt(b),
inference(split_conjunct,[status(thm)],[c_0_930]) ).
cnf(c_0_1418,plain,
is_Arr553848933le_alt(a),
inference(split_conjunct,[status(thm)],[c_0_931]) ).
cnf(c_0_1419,plain,
is_fun282293932t_bool(lba),
inference(split_conjunct,[status(thm)],[c_0_932]) ).
cnf(c_0_1420,plain,
is_fun282293932t_bool(lab),
inference(split_conjunct,[status(thm)],[c_0_933]) ).
cnf(c_0_1421,plain,
is_bool(fTrue),
inference(split_conjunct,[status(thm)],[c_0_934]) ).
cnf(c_0_1422,plain,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[c_0_935]) ).
cnf(c_0_1423,plain,
is_fun282293932t_bool(top_to2034604131t_bool),
inference(split_conjunct,[status(thm)],[c_0_936]) ).
cnf(c_0_1424,plain,
is_fun432044380l_bool(top_to2005687013l_bool),
inference(split_conjunct,[status(thm)],[c_0_937]) ).
cnf(c_0_1425,plain,
is_fun631676118l_bool(top_to40512653l_bool),
inference(split_conjunct,[status(thm)],[c_0_938]) ).
cnf(c_0_1426,plain,
is_fun959573582l_bool(top_to1194196741l_bool),
inference(split_conjunct,[status(thm)],[c_0_939]) ).
cnf(c_0_1427,plain,
is_fun917378774i_bool(top_to1256827021i_bool),
inference(split_conjunct,[status(thm)],[c_0_940]) ).
cnf(c_0_1428,plain,
is_bool(top_top_bool),
inference(split_conjunct,[status(thm)],[c_0_941]) ).
cnf(c_0_1429,plain,
is_fun631676118l_bool(arrow_467566751nimity),
inference(split_conjunct,[status(thm)],[c_0_942]) ).
cnf(c_0_1430,plain,
is_fun959573582l_bool(arrow_413697182e_Prof),
inference(split_conjunct,[status(thm)],[c_0_943]) ).
cnf(c_0_1431,plain,
is_fun432044380l_bool(arrow_1239002508le_Lin),
inference(split_conjunct,[status(thm)],[c_0_944]) ).
cnf(c_0_1432,plain,
is_fun631676118l_bool(arrow_1212118780le_IIA),
inference(split_conjunct,[status(thm)],[c_0_945]) ).
cnf(c_0_1433,plain,
a != b,
inference(split_conjunct,[status(thm)],[c_0_946]) ).
cnf(c_0_1434,plain,
c != d,
inference(split_conjunct,[status(thm)],[c_0_947]) ).
cnf(c_0_1435,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk2_6(X6,X5,X4,X3,X2,X1)))) ),
c_0_948,
[final] ).
cnf(c_0_1436,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
c_0_949,
[final] ).
cnf(c_0_1437,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
c_0_950,
[final] ).
cnf(c_0_1438,plain,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
c_0_951,
[final] ).
cnf(c_0_1439,plain,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
c_0_952,
[final] ).
cnf(c_0_1440,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
c_0_953,
[final] ).
cnf(c_0_1441,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
c_0_954,
[final] ).
cnf(c_0_1442,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
c_0_955,
[final] ).
cnf(c_0_1443,plain,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
c_0_956,
[final] ).
cnf(c_0_1444,plain,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
c_0_957,
[final] ).
cnf(c_0_1445,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
c_0_958,
[final] ).
cnf(c_0_1446,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
c_0_959,
[final] ).
cnf(c_0_1447,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
c_0_960,
[final] ).
cnf(c_0_1448,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
c_0_961,
[final] ).
cnf(c_0_1449,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)))))) ),
c_0_962,
[final] ).
cnf(c_0_1450,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)))))) ),
c_0_963,
[final] ).
cnf(c_0_1451,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
c_0_964,
[final] ).
cnf(c_0_1452,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
c_0_965,
[final] ).
cnf(c_0_1453,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
c_0_966,
[final] ).
cnf(c_0_1454,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
c_0_967,
[final] ).
cnf(c_0_1455,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)))) ),
c_0_968,
[final] ).
cnf(c_0_1456,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))) ),
c_0_969,
[final] ).
cnf(c_0_1457,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)))))),
c_0_970,
[final] ).
cnf(c_0_1458,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)))))),
c_0_971,
[final] ).
cnf(c_0_1459,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)))))),
c_0_972,
[final] ).
cnf(c_0_1460,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)),
c_0_973,
[final] ).
cnf(c_0_1461,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(esk2_6(X6,X5,X4,X3,X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
c_0_974,
[final] ).
cnf(c_0_1462,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| is_Arr625519182e_indi(esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
c_0_975,
[final] ).
cnf(c_0_1463,plain,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| is_Arr625519182e_indi(esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
c_0_976,
[final] ).
cnf(c_0_1464,plain,
( X2 = X1
| X4 = X3
| is_Arr625519182e_indi(esk4_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
c_0_977,
[final] ).
cnf(c_0_1465,plain,
( X2 = X1
| X4 = X3
| is_Arr625519182e_indi(esk4_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
c_0_978,
[final] ).
cnf(c_0_1466,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
c_0_979,
[final] ).
cnf(c_0_1467,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
c_0_980,
[final] ).
cnf(c_0_1468,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
c_0_981,
[final] ).
cnf(c_0_1469,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
c_0_982,
[final] ).
cnf(c_0_1470,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X2,esk14_4(X1,X2,X4,X3)))) ),
c_0_983,
[final] ).
cnf(c_0_1471,plain,
( is_Arr625519182e_indi(esk9_5(X1,X2,X3,X5,X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
c_0_984,
[final] ).
cnf(c_0_1472,plain,
( is_Arr625519182e_indi(esk9_5(X1,X2,X3,X5,X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
c_0_985,
[final] ).
cnf(c_0_1473,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| is_Arr625519182e_indi(esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
c_0_986,
[final] ).
cnf(c_0_1474,plain,
( X2 = X1
| X1 = X3
| X2 = X3
| is_Arr625519182e_indi(esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
c_0_987,
[final] ).
cnf(c_0_1475,plain,
( 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,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_988,
[final] ).
cnf(c_0_1476,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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
c_0_989,
[final] ).
cnf(c_0_1477,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
c_0_990,
[final] ).
cnf(c_0_1478,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),X1)),lab),lba)),arrow_413697182e_Prof)),
c_0_991,
[final] ).
cnf(c_0_1479,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_992,
[final] ).
cnf(c_0_1480,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
c_0_993,
[final] ).
cnf(c_0_1481,plain,
( 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,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_994,
[final] ).
cnf(c_0_1482,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
c_0_995,
[final] ).
cnf(c_0_1483,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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_996,
[final] ).
cnf(c_0_1484,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_997,
[final] ).
cnf(c_0_1485,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_998,
[final] ).
cnf(c_0_1486,plain,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_999,
[final] ).
cnf(c_0_1487,plain,
( X1 = X2
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X2,X1),esk19_2(X2,X1))),X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X2,X1),esk19_2(X2,X1))),X1)) ),
c_0_1000,
[final] ).
cnf(c_0_1488,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1001,
[final] ).
cnf(c_0_1489,plain,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
c_0_1002,
[final] ).
cnf(c_0_1490,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1003,
[final] ).
cnf(c_0_1491,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
c_0_1004,
[final] ).
cnf(c_0_1492,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X2,X1),esk27_2(X2,X1))),hAPP_f695124765t_bool(X1,esk25_2(X2,X1)))) ),
c_0_1005,
[final] ).
cnf(c_0_1493,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1006,
[final] ).
cnf(c_0_1494,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1007,
[final] ).
cnf(c_0_1495,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1008,
[final] ).
cnf(c_0_1496,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1009,
[final] ).
cnf(c_0_1497,plain,
( 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1010,
[final] ).
cnf(c_0_1498,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
c_0_1011,
[final] ).
cnf(c_0_1499,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1012,
[final] ).
cnf(c_0_1500,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1013,
[final] ).
cnf(c_0_1501,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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1014,
[final] ).
cnf(c_0_1502,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
c_0_1015,
[final] ).
cnf(c_0_1503,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1016,
[final] ).
cnf(c_0_1504,plain,
( X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X2,X1),esk19_2(X2,X1))),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X2,X1),esk19_2(X2,X1))),X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
c_0_1017,
[final] ).
cnf(c_0_1505,plain,
( X2 = X1
| is_Arr625519182e_indi(esk5_4(X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
c_0_1018,
[final] ).
cnf(c_0_1506,plain,
( X2 = X1
| is_Arr625519182e_indi(esk5_4(X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
c_0_1019,
[final] ).
cnf(c_0_1507,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1020,
[final] ).
cnf(c_0_1508,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1021,
[final] ).
cnf(c_0_1509,plain,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1022,
[final] ).
cnf(c_0_1510,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ 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,X1)),n)) ),
c_0_1023,
[final] ).
cnf(c_0_1511,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n)) ),
c_0_1024,
[final] ).
cnf(c_0_1512,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X2,X1),esk27_2(X2,X1))),hAPP_A1374816149t_bool(esk25_2(X2,X1),X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
c_0_1025,
[final] ).
cnf(c_0_1513,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),n)) ),
c_0_1026,
[final] ).
cnf(c_0_1514,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
c_0_1027,
[final] ).
cnf(c_0_1515,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
c_0_1028,
[final] ).
cnf(c_0_1516,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1029,
[final] ).
cnf(c_0_1517,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
c_0_1030,
[final] ).
cnf(c_0_1518,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
c_0_1031,
[final] ).
cnf(c_0_1519,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
c_0_1032,
[final] ).
cnf(c_0_1520,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk11_1(X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk10_1(X1)))) ),
c_0_1033,
[final] ).
cnf(c_0_1521,plain,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1034,
[final] ).
cnf(c_0_1522,plain,
( X2 = X1
| X4 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
c_0_1035,
[final] ).
cnf(c_0_1523,plain,
( X2 = X1
| X4 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
c_0_1036,
[final] ).
cnf(c_0_1524,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
c_0_1037,
[final] ).
cnf(c_0_1525,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
c_0_1038,
[final] ).
cnf(c_0_1526,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
c_0_1039,
[final] ).
cnf(c_0_1527,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1040,
[final] ).
cnf(c_0_1528,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1041,
[final] ).
cnf(c_0_1529,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
c_0_1042,
[final] ).
cnf(c_0_1530,plain,
( X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X3 ),
c_0_1043,
[final] ).
cnf(c_0_1531,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk11_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk10_1(X1),X2))) ),
c_0_1044,
[final] ).
cnf(c_0_1532,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk10_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk11_1(X1),X2))) ),
c_0_1045,
[final] ).
cnf(c_0_1533,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
c_0_1046,
[final] ).
cnf(c_0_1534,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
c_0_1047,
[final] ).
cnf(c_0_1535,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
c_0_1048,
[final] ).
cnf(c_0_1536,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
c_0_1049,
[final] ).
cnf(c_0_1537,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
c_0_1050,
[final] ).
cnf(c_0_1538,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(esk14_4(X1,X2,X4,X3))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4) ),
c_0_1051,
[final] ).
cnf(c_0_1539,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
c_0_1052,
[final] ).
cnf(c_0_1540,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1053,
[final] ).
cnf(c_0_1541,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1),X2),X3)),arrow_1239002508le_Lin))
| X2 = X3
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
c_0_1054,
[final] ).
cnf(c_0_1542,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1055,
[final] ).
cnf(c_0_1543,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk11_1(X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk10_1(X1)))) ),
c_0_1056,
[final] ).
cnf(c_0_1544,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
c_0_1057,
[final] ).
cnf(c_0_1545,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
c_0_1058,
[final] ).
cnf(c_0_1546,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1059,
[final] ).
cnf(c_0_1547,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
c_0_1060,
[final] ).
cnf(c_0_1548,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
c_0_1061,
[final] ).
cnf(c_0_1549,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
c_0_1062,
[final] ).
cnf(c_0_1550,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
c_0_1063,
[final] ).
cnf(c_0_1551,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
c_0_1064,
[final] ).
cnf(c_0_1552,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
c_0_1065,
[final] ).
cnf(c_0_1553,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
c_0_1066,
[final] ).
cnf(c_0_1554,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
c_0_1067,
[final] ).
cnf(c_0_1555,plain,
( X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3)) ),
c_0_1068,
[final] ).
cnf(c_0_1556,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X1),esk17_1(X1))),hAPP_f695124765t_bool(X1,esk15_1(X1)))) ),
c_0_1069,
[final] ).
cnf(c_0_1557,plain,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
c_0_1070,
[final] ).
cnf(c_0_1558,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X3)))) ),
c_0_1071,
[final] ).
cnf(c_0_1559,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X3)))) ),
c_0_1072,
[final] ).
cnf(c_0_1560,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X3)))) ),
c_0_1073,
[final] ).
cnf(c_0_1561,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X3)))) ),
c_0_1074,
[final] ).
cnf(c_0_1562,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X3)))) ),
c_0_1075,
[final] ).
cnf(c_0_1563,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X3)))) ),
c_0_1076,
[final] ).
cnf(c_0_1564,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X3)))) ),
c_0_1077,
[final] ).
cnf(c_0_1565,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X3)))) ),
c_0_1078,
[final] ).
cnf(c_0_1566,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X3)))) ),
c_0_1079,
[final] ).
cnf(c_0_1567,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X3)))) ),
c_0_1080,
[final] ).
cnf(c_0_1568,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X3)))) ),
c_0_1081,
[final] ).
cnf(c_0_1569,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X3)))) ),
c_0_1082,
[final] ).
cnf(c_0_1570,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X3)))) ),
c_0_1083,
[final] ).
cnf(c_0_1571,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X3)))) ),
c_0_1084,
[final] ).
cnf(c_0_1572,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X3)))) ),
c_0_1085,
[final] ).
cnf(c_0_1573,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X3)))) ),
c_0_1086,
[final] ).
cnf(c_0_1574,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X3)))) ),
c_0_1087,
[final] ).
cnf(c_0_1575,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X2
| X2 != X1 ),
c_0_1088,
[final] ).
cnf(c_0_1576,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 != X2
| X3 != X1 ),
c_0_1089,
[final] ).
cnf(c_0_1577,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk25_2(X2,X1)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
c_0_1090,
[final] ).
cnf(c_0_1578,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1091,
[final] ).
cnf(c_0_1579,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X1 ),
c_0_1092,
[final] ).
cnf(c_0_1580,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 != X1 ),
c_0_1093,
[final] ).
cnf(c_0_1581,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)))),
c_0_1094,
[final] ).
cnf(c_0_1582,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),hAPP_A1944296755l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,X3))) ),
c_0_1095,
[final] ).
cnf(c_0_1583,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),hAPP_f861484971l_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,X3))) ),
c_0_1096,
[final] ).
cnf(c_0_1584,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),hAPP_b1965422783l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,X3))) ),
c_0_1097,
[final] ).
cnf(c_0_1585,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),hAPP_b990649139l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,X3))) ),
c_0_1098,
[final] ).
cnf(c_0_1586,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),hAPP_A1964572607l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,X3))) ),
c_0_1099,
[final] ).
cnf(c_0_1587,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),hAPP_b1719629739l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,X3))) ),
c_0_1100,
[final] ).
cnf(c_0_1588,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),hAPP_A1912483895l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,X3))) ),
c_0_1101,
[final] ).
cnf(c_0_1589,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),hAPP_b1024867081t_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,X3))) ),
c_0_1102,
[final] ).
cnf(c_0_1590,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,X3))) ),
c_0_1103,
[final] ).
cnf(c_0_1591,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),hAPP_f417299659l_bool(X3,X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,X3))) ),
c_0_1104,
[final] ).
cnf(c_0_1592,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),hAPP_f352490559i_bool(X3,X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,X3))) ),
c_0_1105,
[final] ).
cnf(c_0_1593,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),hAPP_f497468491l_bool(X3,X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,X3))) ),
c_0_1106,
[final] ).
cnf(c_0_1594,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),hAPP_f355113919i_bool(X3,X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,X3))) ),
c_0_1107,
[final] ).
cnf(c_0_1595,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),hAPP_f313042899l_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,X3))) ),
c_0_1108,
[final] ).
cnf(c_0_1596,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),hAPP_f749892423i_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,X3))) ),
c_0_1109,
[final] ).
cnf(c_0_1597,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),hAPP_P907763049i_bool(X3,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,X3))) ),
c_0_1110,
[final] ).
cnf(c_0_1598,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),hAPP_P2127852789l_bool(X3,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,X3))) ),
c_0_1111,
[final] ).
cnf(c_0_1599,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X3,X1)),hAPP_A1944296755l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),pi_Arr688267935t_bool(X2,X4))) ),
c_0_1112,
[final] ).
cnf(c_0_1600,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X3,X1)),hAPP_f861484971l_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),pi_fun433100839t_bool(X2,X4))) ),
c_0_1113,
[final] ).
cnf(c_0_1601,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X3,X1)),hAPP_f417299659l_bool(X4,X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X3),pi_fun1727820731l_bool(X2,X4))) ),
c_0_1114,
[final] ).
cnf(c_0_1602,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X3,X1)),hAPP_f352490559i_bool(X4,X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X3),pi_fun972956463e_indi(X2,X4))) ),
c_0_1115,
[final] ).
cnf(c_0_1603,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X3,X1)),hAPP_f497468491l_bool(X4,X1)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X3),pi_fun525942951l_bool(X2,X4))) ),
c_0_1116,
[final] ).
cnf(c_0_1604,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X3,X1)),hAPP_f355113919i_bool(X4,X1)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X3),pi_fun2075749915e_indi(X2,X4))) ),
c_0_1117,
[final] ).
cnf(c_0_1605,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X3,X1)),hAPP_f313042899l_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X3),pi_fun1494794527l_bool(X2,X4))) ),
c_0_1118,
[final] ).
cnf(c_0_1606,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X3,X1)),hAPP_f749892423i_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X3),pi_fun1736243859e_indi(X2,X4))) ),
c_0_1119,
[final] ).
cnf(c_0_1607,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X3,X1)),hAPP_P907763049i_bool(X4,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X3),pi_Pro437273841e_indi(X2,X4))) ),
c_0_1120,
[final] ).
cnf(c_0_1608,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X3,X1)),hAPP_b1965422783l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X3),pi_boo2007389459t_bool(X2,X4))) ),
c_0_1121,
[final] ).
cnf(c_0_1609,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X3,X1)),hAPP_b990649139l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X3),pi_boo71521447t_bool(X2,X4))) ),
c_0_1122,
[final] ).
cnf(c_0_1610,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X3,X1)),hAPP_A1964572607l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X3),pi_Arr372473371t_bool(X2,X4))) ),
c_0_1123,
[final] ).
cnf(c_0_1611,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X3,X1)),hAPP_b1719629739l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X3),pi_boo691944735t_bool(X2,X4))) ),
c_0_1124,
[final] ).
cnf(c_0_1612,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X3,X1)),hAPP_A1912483895l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X3),pi_Arr1511953043t_bool(X2,X4))) ),
c_0_1125,
[final] ).
cnf(c_0_1613,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X3,X1)),hAPP_b1024867081t_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X3),pi_boo1877522301le_alt(X2,X4))) ),
c_0_1126,
[final] ).
cnf(c_0_1614,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X3,X1)),hAPP_A1374816149t_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X3),pi_Arr149813489le_alt(X2,X4))) ),
c_0_1127,
[final] ).
cnf(c_0_1615,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X3,X1)),hAPP_P2127852789l_bool(X4,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),pi_Pro2135156861t_bool(X2,X4))) ),
c_0_1128,
[final] ).
cnf(c_0_1616,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
c_0_1129,
[final] ).
cnf(c_0_1617,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
c_0_1130,
[final] ).
cnf(c_0_1618,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X1),X2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
c_0_1131,
[final] ).
cnf(c_0_1619,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X1),X2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
c_0_1132,
[final] ).
cnf(c_0_1620,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| esk27_2(X2,X1) != esk26_2(X2,X1) ),
c_0_1133,
[final] ).
cnf(c_0_1621,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
c_0_1134,
[final] ).
cnf(c_0_1622,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| is_Arr553848933le_alt(esk26_2(X2,X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
c_0_1135,
[final] ).
cnf(c_0_1623,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| is_Arr553848933le_alt(esk27_2(X2,X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
c_0_1136,
[final] ).
cnf(c_0_1624,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| hAPP_A588601142di_nat(h,X1) != n ),
c_0_1137,
[final] ).
cnf(c_0_1625,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X1),esk17_1(X1))),hAPP_A1374816149t_bool(esk15_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2) ),
c_0_1138,
[final] ).
cnf(c_0_1626,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
c_0_1139,
[final] ).
cnf(c_0_1627,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
c_0_1140,
[final] ).
cnf(c_0_1628,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
c_0_1141,
[final] ).
cnf(c_0_1629,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
c_0_1142,
[final] ).
cnf(c_0_1630,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
c_0_1143,
[final] ).
cnf(c_0_1631,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3)) ),
c_0_1144,
[final] ).
cnf(c_0_1632,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
c_0_1145,
[final] ).
cnf(c_0_1633,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
c_0_1146,
[final] ).
cnf(c_0_1634,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
c_0_1147,
[final] ).
cnf(c_0_1635,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X3))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
c_0_1148,
[final] ).
cnf(c_0_1636,plain,
( X1 = X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(inj_on24934938di_nat(X4,X3))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
c_0_1149,
[final] ).
cnf(c_0_1637,plain,
( X1 = X2
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
c_0_1150,
[final] ).
cnf(c_0_1638,plain,
( X2 = X3
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ is_Arr625519182e_indi(X3)
| ~ is_Arr625519182e_indi(X2) ),
c_0_1151,
[final] ).
cnf(c_0_1639,plain,
( X1 = X2
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X3,X4)) ),
c_0_1152,
[final] ).
cnf(c_0_1640,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1153,
[final] ).
cnf(c_0_1641,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1154,
[final] ).
cnf(c_0_1642,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
c_0_1155,
[final] ).
cnf(c_0_1643,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1156,
[final] ).
cnf(c_0_1644,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
c_0_1157,
[final] ).
cnf(c_0_1645,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1158,
[final] ).
cnf(c_0_1646,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
c_0_1159,
[final] ).
cnf(c_0_1647,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1160,
[final] ).
cnf(c_0_1648,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
c_0_1161,
[final] ).
cnf(c_0_1649,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1162,
[final] ).
cnf(c_0_1650,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
c_0_1163,
[final] ).
cnf(c_0_1651,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| ~ hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(esk7_1(X1),esk8_1(X1)))) ),
c_0_1164,
[final] ).
cnf(c_0_1652,plain,
( hilber1792103167di_nat(top_to1256827021i_bool,X1) = X2
| hAPP_A588601142di_nat(X1,hAPP_n385347014e_indi(X2,esk22_2(X2,X1))) != esk22_2(X2,X1)
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_fun1016509681e_indi(X2) ),
c_0_1165,
[final] ).
cnf(c_0_1653,plain,
( hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2)
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| X1 != X2 ),
c_0_1166,
[final] ).
cnf(c_0_1654,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk29_2(X1,X2)),arrow_413697182e_Prof)) ),
c_0_1167,
[final] ).
cnf(c_0_1655,plain,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),esk28_2(X2,X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
c_0_1168,
[final] ).
cnf(c_0_1656,plain,
( hAPP_f695124765t_bool(X1,X2) = hAPP_A1374816149t_bool(X2,X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X3)) ),
c_0_1169,
[final] ).
cnf(c_0_1657,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hAPP_f695124765t_bool(X1,esk29_2(X1,X2)) != hAPP_A1374816149t_bool(esk29_2(X1,X2),X2) ),
c_0_1170,
[final] ).
cnf(c_0_1658,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 != X1 ),
c_0_1171,
[final] ).
cnf(c_0_1659,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| X1 != X3 ),
c_0_1172,
[final] ).
cnf(c_0_1660,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| X1 != X3 ),
c_0_1173,
[final] ).
cnf(c_0_1661,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| X2 != X3 ),
c_0_1174,
[final] ).
cnf(c_0_1662,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| X2 != X3 ),
c_0_1175,
[final] ).
cnf(c_0_1663,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
c_0_1176,
[final] ).
cnf(c_0_1664,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3)) ),
c_0_1177,
[final] ).
cnf(c_0_1665,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
c_0_1178,
[final] ).
cnf(c_0_1666,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
c_0_1179,
[final] ).
cnf(c_0_1667,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
c_0_1180,
[final] ).
cnf(c_0_1668,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),hAPP_A588601142di_nat(X2,X3)) = X3
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X1))
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X3) ),
c_0_1181,
[final] ).
cnf(c_0_1669,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),X3) = X4
| hAPP_A588601142di_nat(X2,X4) != X3
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X1))
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X4) ),
c_0_1182,
[final] ).
cnf(c_0_1670,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
c_0_1183,
[final] ).
cnf(c_0_1671,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
c_0_1184,
[final] ).
cnf(c_0_1672,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk20_2(X1,X2)),X2)) ),
c_0_1185,
[final] ).
cnf(c_0_1673,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk21_2(X1,X2)),X2)) ),
c_0_1186,
[final] ).
cnf(c_0_1674,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(X2,X3)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_P2075002375t_bool(X1,esk6_1(X1))) ),
c_0_1187,
[final] ).
cnf(c_0_1675,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
c_0_1188,
[final] ).
cnf(c_0_1676,plain,
( X2 = X1
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(esk28_2(X2,X1)),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
c_0_1189,
[final] ).
cnf(c_0_1677,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1 ),
c_0_1190,
[final] ).
cnf(c_0_1678,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
c_0_1191,
[final] ).
cnf(c_0_1679,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1192,
[final] ).
cnf(c_0_1680,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1193,
[final] ).
cnf(c_0_1681,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1 ),
c_0_1194,
[final] ).
cnf(c_0_1682,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1195,
[final] ).
cnf(c_0_1683,plain,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
c_0_1196,
[final] ).
cnf(c_0_1684,plain,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| ~ hBOOL(top_top_bool)
| ~ hBOOL(X1) ),
c_0_1197,
[final] ).
cnf(c_0_1685,plain,
( ~ is_fun917378774i_bool(X1)
| X1 != top_to1256827021i_bool
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool)) ),
c_0_1198,
[final] ).
cnf(c_0_1686,plain,
( ~ is_fun282293932t_bool(X1)
| X1 != top_to2034604131t_bool
| ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool)) ),
c_0_1199,
[final] ).
cnf(c_0_1687,plain,
( ~ is_fun631676118l_bool(X1)
| X1 != top_to40512653l_bool
| ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool)) ),
c_0_1200,
[final] ).
cnf(c_0_1688,plain,
( ~ is_fun959573582l_bool(X1)
| X1 != top_to1194196741l_bool
| ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool)) ),
c_0_1201,
[final] ).
cnf(c_0_1689,plain,
( ~ is_fun432044380l_bool(X1)
| X1 != top_to2005687013l_bool
| ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool)) ),
c_0_1202,
[final] ).
cnf(c_0_1690,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
c_0_1203,
[final] ).
cnf(c_0_1691,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1204,
[final] ).
cnf(c_0_1692,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
c_0_1205,
[final] ).
cnf(c_0_1693,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
c_0_1206,
[final] ).
cnf(c_0_1694,plain,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
c_0_1207,
[final] ).
cnf(c_0_1695,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
c_0_1208,
[final] ).
cnf(c_0_1696,plain,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
c_0_1209,
[final] ).
cnf(c_0_1697,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
c_0_1210,
[final] ).
cnf(c_0_1698,plain,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
c_0_1211,
[final] ).
cnf(c_0_1699,plain,
( hBOOL(top_top_bool)
| hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
c_0_1212,
[final] ).
cnf(c_0_1700,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
c_0_1213,
[final] ).
cnf(c_0_1701,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
c_0_1214,
[final] ).
cnf(c_0_1702,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X1)),
c_0_1215,
[final] ).
cnf(c_0_1703,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
c_0_1216,
[final] ).
cnf(c_0_1704,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
c_0_1217,
[final] ).
cnf(c_0_1705,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),hAPP_A588601142di_nat(X1,X2)) = X2
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2) ),
c_0_1218,
[final] ).
cnf(c_0_1706,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),X2) = X3
| hAPP_A588601142di_nat(X1,X3) != X2
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X3) ),
c_0_1219,
[final] ).
cnf(c_0_1707,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hAPP_A588601142di_nat(X1,esk21_2(X1,X2)) = hAPP_A588601142di_nat(X1,esk20_2(X1,X2)) ),
c_0_1220,
[final] ).
cnf(c_0_1708,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X1)),
c_0_1221,
[final] ).
cnf(c_0_1709,plain,
~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X1)),
c_0_1222,
[final] ).
cnf(c_0_1710,plain,
~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X1)),
c_0_1223,
[final] ).
cnf(c_0_1711,plain,
~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X1)),
c_0_1224,
[final] ).
cnf(c_0_1712,plain,
~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X1)),
c_0_1225,
[final] ).
cnf(c_0_1713,plain,
~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X1)),
c_0_1226,
[final] ).
cnf(c_0_1714,plain,
hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1,X3),hAPP_A1374816149t_bool(X2,X3)) = hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X1,X2),X3),
c_0_1227,
[final] ).
cnf(c_0_1715,plain,
hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1,X3),hAPP_A1374816149t_bool(X2,X3)) = hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X1,X2),X3),
c_0_1228,
[final] ).
cnf(c_0_1716,plain,
( X1 = X2
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
c_0_1229,
[final] ).
cnf(c_0_1717,plain,
( X2 = X1
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X2) != hAPP_A588601142di_nat(X3,X1) ),
c_0_1230,
[final] ).
cnf(c_0_1718,plain,
( hBOOL(hAPP_f745298353l_bool(X1,X2))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X1)) ),
c_0_1231,
[final] ).
cnf(c_0_1719,plain,
( hBOOL(hAPP_f785543729l_bool(X1,X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X1)) ),
c_0_1232,
[final] ).
cnf(c_0_1720,plain,
( hBOOL(hAPP_f1636546729l_bool(X1,X2))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X1)) ),
c_0_1233,
[final] ).
cnf(c_0_1721,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X1)) ),
c_0_1234,
[final] ).
cnf(c_0_1722,plain,
( hBOOL(hAPP_bool_bool(X1,X2))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X1)) ),
c_0_1235,
[final] ).
cnf(c_0_1723,plain,
( hBOOL(hAPP_A1466488369i_bool(X1,X2))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X1)) ),
c_0_1236,
[final] ).
cnf(c_0_1724,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk15_1(X1)),arrow_413697182e_Prof)) ),
c_0_1237,
[final] ).
cnf(c_0_1725,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk10_1(X1)),arrow_413697182e_Prof)) ),
c_0_1238,
[final] ).
cnf(c_0_1726,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk11_1(X1)),arrow_413697182e_Prof)) ),
c_0_1239,
[final] ).
cnf(c_0_1727,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f745298353l_bool(X2,X1)) ),
c_0_1240,
[final] ).
cnf(c_0_1728,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f785543729l_bool(X2,X1)) ),
c_0_1241,
[final] ).
cnf(c_0_1729,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f1636546729l_bool(X2,X1)) ),
c_0_1242,
[final] ).
cnf(c_0_1730,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_P2075002375t_bool(X2,X1)) ),
c_0_1243,
[final] ).
cnf(c_0_1731,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_bool_bool(X2,X1)) ),
c_0_1244,
[final] ).
cnf(c_0_1732,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_A1466488369i_bool(X2,X1)) ),
c_0_1245,
[final] ).
cnf(c_0_1733,plain,
( hAPP_A588601142di_nat(X3,X2) = hAPP_A588601142di_nat(X3,X1)
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| X2 != X1 ),
c_0_1246,
[final] ).
cnf(c_0_1734,plain,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X1),X2) = X2
| ~ is_fun282293932t_bool(X2) ),
c_0_1247,
[final] ).
cnf(c_0_1735,plain,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
c_0_1248,
[final] ).
cnf(c_0_1736,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| hBOOL(top_top_bool)
| ~ hBOOL(X1) ),
c_0_1249,
[final] ).
cnf(c_0_1737,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| hBOOL(X1)
| ~ hBOOL(top_top_bool) ),
c_0_1250,
[final] ).
cnf(c_0_1738,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool))
| X1 = top_to1256827021i_bool
| ~ is_fun917378774i_bool(X1) ),
c_0_1251,
[final] ).
cnf(c_0_1739,plain,
( hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool))
| X1 = top_to2034604131t_bool
| ~ is_fun282293932t_bool(X1) ),
c_0_1252,
[final] ).
cnf(c_0_1740,plain,
( hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool))
| X1 = top_to40512653l_bool
| ~ is_fun631676118l_bool(X1) ),
c_0_1253,
[final] ).
cnf(c_0_1741,plain,
( hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool))
| X1 = top_to1194196741l_bool
| ~ is_fun959573582l_bool(X1) ),
c_0_1254,
[final] ).
cnf(c_0_1742,plain,
( hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool))
| X1 = top_to2005687013l_bool
| ~ is_fun432044380l_bool(X1) ),
c_0_1255,
[final] ).
cnf(c_0_1743,plain,
hAPP_A869356733t_bool(cOMBB_963584201e_indi(X1,X2),X3) = hAPP_b1915039793t_bool(X1,hAPP_A1466488369i_bool(X2,X3)),
c_0_1256,
[final] ).
cnf(c_0_1744,plain,
hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X1,X2),X3) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1,X3),X2),
c_0_1257,
[final] ).
cnf(c_0_1745,plain,
hAPP_A460042315t_bool(cOMBB_69933763e_indi(X1,X2),X3) = hAPP_f1336478923t_bool(X1,hAPP_A1374816149t_bool(X2,X3)),
c_0_1258,
[final] ).
cnf(c_0_1746,plain,
hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X1,X2),X3) = hAPP_f1290184496t_bool(X1,hAPP_A1374816149t_bool(X2,X3)),
c_0_1259,
[final] ).
cnf(c_0_1747,plain,
hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1,X3),X2) = hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X1,X2),X3),
c_0_1260,
[final] ).
cnf(c_0_1748,plain,
hAPP_A702630576t_bool(cOMBC_493523632t_bool(X1,X2),X3) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X1,X3),X2),
c_0_1261,
[final] ).
cnf(c_0_1749,plain,
hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X1,X2),X3) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X1,X3),X2),
c_0_1262,
[final] ).
cnf(c_0_1750,plain,
hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X1,X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_A588601142di_nat(X2,X3)),
c_0_1263,
[final] ).
cnf(c_0_1751,plain,
hAPP_nat_bool(hAPP_A1922697556t_bool(X1,X3),X2) = hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X1,X2),X3),
c_0_1264,
[final] ).
cnf(c_0_1752,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
| X1 != X2 ),
c_0_1265,
[final] ).
cnf(c_0_1753,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
c_0_1266,
[final] ).
cnf(c_0_1754,plain,
( X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
c_0_1267,
[final] ).
cnf(c_0_1755,plain,
( X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
c_0_1268,
[final] ).
cnf(c_0_1756,plain,
( X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
c_0_1269,
[final] ).
cnf(c_0_1757,plain,
( X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
c_0_1270,
[final] ).
cnf(c_0_1758,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| esk21_2(X1,X2) != esk20_2(X1,X2) ),
c_0_1271,
[final] ).
cnf(c_0_1759,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1,esk24_1(X1)) = hAPP_A588601142di_nat(X1,esk23_1(X1)) ),
c_0_1272,
[final] ).
cnf(c_0_1760,plain,
( produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| X3 != X1
| X4 != X2 ),
c_0_1273,
[final] ).
cnf(c_0_1761,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| is_Arr625519182e_indi(esk20_2(X1,X2)) ),
c_0_1274,
[final] ).
cnf(c_0_1762,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| is_Arr625519182e_indi(esk21_2(X1,X2)) ),
c_0_1275,
[final] ).
cnf(c_0_1763,plain,
( X2 = X1
| is_fun282293932t_bool(esk28_2(X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
c_0_1276,
[final] ).
cnf(c_0_1764,plain,
( X1 = X2
| is_Arr553848933le_alt(esk18_2(X2,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
c_0_1277,
[final] ).
cnf(c_0_1765,plain,
( X1 = X2
| is_Arr553848933le_alt(esk19_2(X2,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
c_0_1278,
[final] ).
cnf(c_0_1766,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)) ),
c_0_1279,
[final] ).
cnf(c_0_1767,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)) ),
c_0_1280,
[final] ).
cnf(c_0_1768,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)) ),
c_0_1281,
[final] ).
cnf(c_0_1769,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)) ),
c_0_1282,
[final] ).
cnf(c_0_1770,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)) ),
c_0_1283,
[final] ).
cnf(c_0_1771,plain,
( hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X1),X2) = X1
| ~ is_fun631676118l_bool(X1) ),
c_0_1284,
[final] ).
cnf(c_0_1772,plain,
( hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
c_0_1285,
[final] ).
cnf(c_0_1773,plain,
( hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X1),X2) = X1
| ~ is_fun631676118l_bool(X1) ),
c_0_1286,
[final] ).
cnf(c_0_1774,plain,
( hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
c_0_1287,
[final] ).
cnf(c_0_1775,plain,
( hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
c_0_1288,
[final] ).
cnf(c_0_1776,plain,
( hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X1),X2) = X1
| ~ is_fun959573582l_bool(X1) ),
c_0_1289,
[final] ).
cnf(c_0_1777,plain,
( hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
c_0_1290,
[final] ).
cnf(c_0_1778,plain,
( hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X1),X2) = X1
| ~ is_fun959573582l_bool(X1) ),
c_0_1291,
[final] ).
cnf(c_0_1779,plain,
( hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
c_0_1292,
[final] ).
cnf(c_0_1780,plain,
( hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
c_0_1293,
[final] ).
cnf(c_0_1781,plain,
( hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
c_0_1294,
[final] ).
cnf(c_0_1782,plain,
( hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
c_0_1295,
[final] ).
cnf(c_0_1783,plain,
( hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
c_0_1296,
[final] ).
cnf(c_0_1784,plain,
( hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
c_0_1297,
[final] ).
cnf(c_0_1785,plain,
( hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
c_0_1298,
[final] ).
cnf(c_0_1786,plain,
( hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
c_0_1299,
[final] ).
cnf(c_0_1787,plain,
( hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X1),X2) = X1
| ~ is_bool(X1) ),
c_0_1300,
[final] ).
cnf(c_0_1788,plain,
( hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X1),X2) = X1
| ~ is_bool(X1) ),
c_0_1301,
[final] ).
cnf(c_0_1789,plain,
( is_bool(hAPP_A1466488369i_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2)
| ~ is_fun917378774i_bool(X1) ),
c_0_1302,
[final] ).
cnf(c_0_1790,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| is_Arr553848933le_alt(esk7_1(X1)) ),
c_0_1303,
[final] ).
cnf(c_0_1791,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| is_Arr553848933le_alt(esk8_1(X1)) ),
c_0_1304,
[final] ).
cnf(c_0_1792,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| esk24_1(X1) != esk23_1(X1) ),
c_0_1305,
[final] ).
cnf(c_0_1793,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),top_to2005687013l_bool)),
c_0_1306,
[final] ).
cnf(c_0_1794,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),top_to40512653l_bool)),
c_0_1307,
[final] ).
cnf(c_0_1795,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),top_to1194196741l_bool)),
c_0_1308,
[final] ).
cnf(c_0_1796,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),top_to2034604131t_bool)),
c_0_1309,
[final] ).
cnf(c_0_1797,plain,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),top_to1256827021i_bool)),
c_0_1310,
[final] ).
cnf(c_0_1798,plain,
hBOOL(hAPP_f387058535l_bool(member_bool(X1),top_to1647826457l_bool)),
c_0_1311,
[final] ).
cnf(c_0_1799,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),top_to2005687013l_bool)),
c_0_1312,
[final] ).
cnf(c_0_1800,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),top_to40512653l_bool)),
c_0_1313,
[final] ).
cnf(c_0_1801,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),top_to1194196741l_bool)),
c_0_1314,
[final] ).
cnf(c_0_1802,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),top_to2034604131t_bool)),
c_0_1315,
[final] ).
cnf(c_0_1803,plain,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),top_to1256827021i_bool)),
c_0_1316,
[final] ).
cnf(c_0_1804,plain,
hBOOL(hAPP_f387058535l_bool(member_bool(X1),top_to1647826457l_bool)),
c_0_1317,
[final] ).
cnf(c_0_1805,plain,
hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X1),X2) = X1,
c_0_1318,
[final] ).
cnf(c_0_1806,plain,
hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X1),X2) = X1,
c_0_1319,
[final] ).
cnf(c_0_1807,plain,
hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X1),X2) = X1,
c_0_1320,
[final] ).
cnf(c_0_1808,plain,
hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X1),X2) = X1,
c_0_1321,
[final] ).
cnf(c_0_1809,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| is_Arr625519182e_indi(esk23_1(X1)) ),
c_0_1322,
[final] ).
cnf(c_0_1810,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| is_Arr625519182e_indi(esk24_1(X1)) ),
c_0_1323,
[final] ).
cnf(c_0_1811,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr553848933le_alt(esk16_1(X1)) ),
c_0_1324,
[final] ).
cnf(c_0_1812,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr553848933le_alt(esk17_1(X1)) ),
c_0_1325,
[final] ).
cnf(c_0_1813,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| is_Arr553848933le_alt(esk12_1(X1)) ),
c_0_1326,
[final] ).
cnf(c_0_1814,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| is_Arr553848933le_alt(esk13_1(X1)) ),
c_0_1327,
[final] ).
cnf(c_0_1815,plain,
( is_bool(hAPP_P2075002375t_bool(X1,X2))
| ~ is_fun282293932t_bool(X1) ),
c_0_1328,
[final] ).
cnf(c_0_1816,plain,
( is_fun282293932t_bool(hAPP_f1673487381t_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
c_0_1329,
[final] ).
cnf(c_0_1817,plain,
( is_fun432044380l_bool(hAPP_f2056167603l_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
c_0_1330,
[final] ).
cnf(c_0_1818,plain,
( is_fun917378774i_bool(hAPP_f352490559i_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
c_0_1331,
[final] ).
cnf(c_0_1819,plain,
( is_Arr625519182e_indi(hAPP_f1659504677e_indi(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
c_0_1332,
[final] ).
cnf(c_0_1820,plain,
( is_bool(hAPP_f503012287l_bool(X1,X2))
| ~ is_fun432044380l_bool(X2) ),
c_0_1333,
[final] ).
cnf(c_0_1821,plain,
( is_bool(hAPP_f213304539l_bool(X1,X2))
| ~ is_fun631676118l_bool(X2) ),
c_0_1334,
[final] ).
cnf(c_0_1822,plain,
( is_bool(hAPP_f785543729l_bool(X1,X2))
| ~ is_fun631676118l_bool(X1) ),
c_0_1335,
[final] ).
cnf(c_0_1823,plain,
( is_bool(hAPP_f453661011l_bool(X1,X2))
| ~ is_fun959573582l_bool(X2) ),
c_0_1336,
[final] ).
cnf(c_0_1824,plain,
( is_bool(hAPP_f1636546729l_bool(X1,X2))
| ~ is_fun959573582l_bool(X1) ),
c_0_1337,
[final] ).
cnf(c_0_1825,plain,
( is_bool(hAPP_f919661787l_bool(X1,X2))
| ~ is_fun917378774i_bool(X2) ),
c_0_1338,
[final] ).
cnf(c_0_1826,plain,
( is_Arr625519182e_indi(hAPP_n385347014e_indi(X1,X2))
| ~ is_fun1016509681e_indi(X1) ),
c_0_1339,
[final] ).
cnf(c_0_1827,plain,
( is_fun282293932t_bool(hAPP_b1024867081t_bool(X1,X2))
| ~ is_bool(X2) ),
c_0_1340,
[final] ).
cnf(c_0_1828,plain,
( is_fun432044380l_bool(hAPP_b1965422783l_bool(X1,X2))
| ~ is_bool(X2) ),
c_0_1341,
[final] ).
cnf(c_0_1829,plain,
( is_fun631676118l_bool(hAPP_b990649139l_bool(X1,X2))
| ~ is_bool(X2) ),
c_0_1342,
[final] ).
cnf(c_0_1830,plain,
( is_fun959573582l_bool(hAPP_b1719629739l_bool(X1,X2))
| ~ is_bool(X2) ),
c_0_1343,
[final] ).
cnf(c_0_1831,plain,
( is_fun917378774i_bool(hAPP_b1018211123i_bool(X1,X2))
| ~ is_bool(X2) ),
c_0_1344,
[final] ).
cnf(c_0_1832,plain,
( is_bool(hAPP_bool_bool(X1,X2))
| ~ is_bool(X2) ),
c_0_1345,
[final] ).
cnf(c_0_1833,plain,
( is_fun282293932t_bool(hAPP_A1374816149t_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
c_0_1346,
[final] ).
cnf(c_0_1834,plain,
( is_fun432044380l_bool(hAPP_A1944296755l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
c_0_1347,
[final] ).
cnf(c_0_1835,plain,
( is_fun631676118l_bool(hAPP_A1964572607l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
c_0_1348,
[final] ).
cnf(c_0_1836,plain,
( is_fun959573582l_bool(hAPP_A1912483895l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
c_0_1349,
[final] ).
cnf(c_0_1837,plain,
( is_fun282293932t_bool(hAPP_A619995676t_bool(X1,X2))
| ~ is_Arr553848933le_alt(X2) ),
c_0_1350,
[final] ).
cnf(c_0_1838,plain,
( is_fun1016509681e_indi(hilber1792103167di_nat(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
c_0_1351,
[final] ).
cnf(c_0_1839,plain,
( is_fun432044380l_bool(pi_Pro2135156861t_bool(X1,X2))
| ~ is_fun282293932t_bool(X1) ),
c_0_1352,
[final] ).
cnf(c_0_1840,plain,
( is_fun631676118l_bool(pi_fun433100839t_bool(X1,X2))
| ~ is_fun959573582l_bool(X1) ),
c_0_1353,
[final] ).
cnf(c_0_1841,plain,
( is_fun959573582l_bool(pi_Arr688267935t_bool(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
c_0_1354,
[final] ).
cnf(c_0_1842,plain,
( is_bool(inj_on24934938di_nat(X1,X2))
| ~ is_fun917378774i_bool(X2) ),
c_0_1355,
[final] ).
cnf(c_0_1843,plain,
pi_Arr688267935t_bool(X1,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
c_0_1356,
[final] ).
cnf(c_0_1844,plain,
pi_fun433100839t_bool(X1,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
c_0_1357,
[final] ).
cnf(c_0_1845,plain,
pi_Pro2135156861t_bool(X1,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
c_0_1358,
[final] ).
cnf(c_0_1846,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
c_0_1359,
[final] ).
cnf(c_0_1847,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
c_0_1360,
[final] ).
cnf(c_0_1848,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
c_0_1361,
[final] ).
cnf(c_0_1849,plain,
pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)) = arrow_413697182e_Prof,
c_0_1362,
[final] ).
cnf(c_0_1850,plain,
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1))
| ~ hBOOL(top_top_bool) ),
c_0_1363,
[final] ).
cnf(c_0_1851,plain,
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1))
| ~ hBOOL(top_top_bool) ),
c_0_1364,
[final] ).
cnf(c_0_1852,plain,
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1))
| ~ hBOOL(top_top_bool) ),
c_0_1365,
[final] ).
cnf(c_0_1853,plain,
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1))
| ~ hBOOL(top_top_bool) ),
c_0_1366,
[final] ).
cnf(c_0_1854,plain,
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1))
| ~ hBOOL(top_top_bool) ),
c_0_1367,
[final] ).
cnf(c_0_1855,plain,
is_fun917378774i_bool(hAPP_P907763049i_bool(X1,X2)),
c_0_1368,
[final] ).
cnf(c_0_1856,plain,
is_Arr625519182e_indi(hAPP_P2024088443e_indi(X1,X2)),
c_0_1369,
[final] ).
cnf(c_0_1857,plain,
is_bool(hAPP_f460310451l_bool(X1,X2)),
c_0_1370,
[final] ).
cnf(c_0_1858,plain,
is_bool(hAPP_f526292585l_bool(X1,X2)),
c_0_1371,
[final] ).
cnf(c_0_1859,plain,
is_bool(hAPP_f592909149l_bool(X1,X2)),
c_0_1372,
[final] ).
cnf(c_0_1860,plain,
is_bool(hAPP_f1279200745l_bool(X1,X2)),
c_0_1373,
[final] ).
cnf(c_0_1861,plain,
is_bool(hAPP_f1766869725l_bool(X1,X2)),
c_0_1374,
[final] ).
cnf(c_0_1862,plain,
is_bool(hAPP_f500145249l_bool(X1,X2)),
c_0_1375,
[final] ).
cnf(c_0_1863,plain,
is_bool(hAPP_f234874197l_bool(X1,X2)),
c_0_1376,
[final] ).
cnf(c_0_1864,plain,
is_bool(hAPP_f1895985727l_bool(X1,X2)),
c_0_1377,
[final] ).
cnf(c_0_1865,plain,
is_bool(hAPP_f1550037191l_bool(X1,X2)),
c_0_1378,
[final] ).
cnf(c_0_1866,plain,
is_bool(hAPP_f1271180905l_bool(X1,X2)),
c_0_1379,
[final] ).
cnf(c_0_1867,plain,
is_bool(hAPP_f1018082273l_bool(X1,X2)),
c_0_1380,
[final] ).
cnf(c_0_1868,plain,
is_bool(hAPP_f483434675l_bool(X1,X2)),
c_0_1381,
[final] ).
cnf(c_0_1869,plain,
is_fun917378774i_bool(hAPP_f355113919i_bool(X1,X2)),
c_0_1382,
[final] ).
cnf(c_0_1870,plain,
is_Arr625519182e_indi(hAPP_f618619045e_indi(X1,X2)),
c_0_1383,
[final] ).
cnf(c_0_1871,plain,
is_bool(hAPP_f1012384989l_bool(X1,X2)),
c_0_1384,
[final] ).
cnf(c_0_1872,plain,
is_bool(hAPP_f204273237l_bool(X1,X2)),
c_0_1385,
[final] ).
cnf(c_0_1873,plain,
is_bool(hAPP_f387058535l_bool(X1,X2)),
c_0_1386,
[final] ).
cnf(c_0_1874,plain,
is_fun432044380l_bool(hAPP_f861484971l_bool(X1,X2)),
c_0_1387,
[final] ).
cnf(c_0_1875,plain,
is_fun917378774i_bool(hAPP_f749892423i_bool(X1,X2)),
c_0_1388,
[final] ).
cnf(c_0_1876,plain,
is_Arr625519182e_indi(hAPP_f1818473245e_indi(X1,X2)),
c_0_1389,
[final] ).
cnf(c_0_1877,plain,
is_bool(hAPP_nat_bool(X1,X2)),
c_0_1390,
[final] ).
cnf(c_0_1878,plain,
is_fun917378774i_bool(cOMBC_277798809t_bool(X1,X2)),
c_0_1391,
[final] ).
cnf(c_0_1879,plain,
hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)),
c_0_1392,
[final] ).
cnf(c_0_1880,plain,
hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)),
c_0_1393,
[final] ).
cnf(c_0_1881,plain,
hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)),
c_0_1394,
[final] ).
cnf(c_0_1882,plain,
hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)),
c_0_1395,
[final] ).
cnf(c_0_1883,plain,
hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)),
c_0_1396,
[final] ).
cnf(c_0_1884,plain,
collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)) = top_to1256827021i_bool,
c_0_1397,
[final] ).
cnf(c_0_1885,plain,
collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)) = top_to2034604131t_bool,
c_0_1398,
[final] ).
cnf(c_0_1886,plain,
collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)) = top_to40512653l_bool,
c_0_1399,
[final] ).
cnf(c_0_1887,plain,
collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)) = top_to1194196741l_bool,
c_0_1400,
[final] ).
cnf(c_0_1888,plain,
collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)) = top_to2005687013l_bool,
c_0_1401,
[final] ).
cnf(c_0_1889,plain,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
c_0_1402,
[final] ).
cnf(c_0_1890,plain,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
c_0_1403,
[final] ).
cnf(c_0_1891,plain,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
c_0_1404,
[final] ).
cnf(c_0_1892,plain,
( is_fun282293932t_bool(collec1711870802le_alt(X1))
| ~ is_fun282293932t_bool(X1) ),
c_0_1405,
[final] ).
cnf(c_0_1893,plain,
( is_fun432044380l_bool(collec874260222t_bool(X1))
| ~ is_fun432044380l_bool(X1) ),
c_0_1406,
[final] ).
cnf(c_0_1894,plain,
( is_fun631676118l_bool(collec1520786044t_bool(X1))
| ~ is_fun631676118l_bool(X1) ),
c_0_1407,
[final] ).
cnf(c_0_1895,plain,
( is_fun959573582l_bool(collec1580242420t_bool(X1))
| ~ is_fun959573582l_bool(X1) ),
c_0_1408,
[final] ).
cnf(c_0_1896,plain,
( is_fun917378774i_bool(collec45183100e_indi(X1))
| ~ is_fun917378774i_bool(X1) ),
c_0_1409,
[final] ).
cnf(c_0_1897,plain,
( collec45183100e_indi(X1) = X1
| ~ is_fun917378774i_bool(X1) ),
c_0_1410,
[final] ).
cnf(c_0_1898,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
c_0_1411,
[final] ).
cnf(c_0_1899,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
c_0_1412,
[final] ).
cnf(c_0_1900,plain,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
c_0_1413,
[final] ).
cnf(c_0_1901,plain,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
c_0_1414,
[final] ).
cnf(c_0_1902,plain,
hBOOL(fTrue),
c_0_1415,
[final] ).
cnf(c_0_1903,plain,
is_Arr553848933le_alt(e),
c_0_1416,
[final] ).
cnf(c_0_1904,plain,
is_Arr553848933le_alt(b),
c_0_1417,
[final] ).
cnf(c_0_1905,plain,
is_Arr553848933le_alt(a),
c_0_1418,
[final] ).
cnf(c_0_1906,plain,
is_fun282293932t_bool(lba),
c_0_1419,
[final] ).
cnf(c_0_1907,plain,
is_fun282293932t_bool(lab),
c_0_1420,
[final] ).
cnf(c_0_1908,plain,
is_bool(fTrue),
c_0_1421,
[final] ).
cnf(c_0_1909,plain,
is_bool(fFalse),
c_0_1422,
[final] ).
cnf(c_0_1910,plain,
is_fun282293932t_bool(top_to2034604131t_bool),
c_0_1423,
[final] ).
cnf(c_0_1911,plain,
is_fun432044380l_bool(top_to2005687013l_bool),
c_0_1424,
[final] ).
cnf(c_0_1912,plain,
is_fun631676118l_bool(top_to40512653l_bool),
c_0_1425,
[final] ).
cnf(c_0_1913,plain,
is_fun959573582l_bool(top_to1194196741l_bool),
c_0_1426,
[final] ).
cnf(c_0_1914,plain,
is_fun917378774i_bool(top_to1256827021i_bool),
c_0_1427,
[final] ).
cnf(c_0_1915,plain,
is_bool(top_top_bool),
c_0_1428,
[final] ).
cnf(c_0_1916,plain,
is_fun631676118l_bool(arrow_467566751nimity),
c_0_1429,
[final] ).
cnf(c_0_1917,plain,
is_fun959573582l_bool(arrow_413697182e_Prof),
c_0_1430,
[final] ).
cnf(c_0_1918,plain,
is_fun432044380l_bool(arrow_1239002508le_Lin),
c_0_1431,
[final] ).
cnf(c_0_1919,plain,
is_fun631676118l_bool(arrow_1212118780le_IIA),
c_0_1432,
[final] ).
cnf(c_0_1920,plain,
b != a,
c_0_1433,
[final] ).
cnf(c_0_1921,plain,
d != c,
c_0_1434,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1435_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_8,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_12,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_13,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1436_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_8,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_12,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_13,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1437_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_8,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_12,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_13,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1438_0,axiom,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_1,axiom,
( X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_7,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_8,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1439_0,axiom,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_1,axiom,
( X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_7,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_8,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1440_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_5,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_6,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_7,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_8,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_9,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_10,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_11,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_12,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_13,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk2_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1441_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_5,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_6,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_7,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_8,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_9,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_10,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_11,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_12,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_13,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1442_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_5,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_6,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_7,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_8,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_9,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_10,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_11,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_12,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_13,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk1_6(X6,X5,X4,X3,X2,X1))))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1443_0,axiom,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_1,axiom,
( X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_8,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1444_0,axiom,
( X2 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_1,axiom,
( X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_8,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X5,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X6,sk1_esk4_6(X6,X5,X4,X3,X2,X1))))
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1445_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_1,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_2,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_3,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_5,axiom,
( ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1446_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_1,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_2,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_3,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_5,axiom,
( ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1447_0,axiom,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_1,axiom,
( X1 = X3
| X2 = X1
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_2,axiom,
( X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_7,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_8,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| X2 = X3
| X1 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1448_0,axiom,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_1,axiom,
( X1 = X3
| X2 = X1
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_2,axiom,
( X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_7,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_8,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X3
| X1 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1449_0,axiom,
( 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(literals_permutation,[status(thm)],[c_0_1449]) ).
cnf(c_0_1449_1,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)))) ),
inference(literals_permutation,[status(thm)],[c_0_1449]) ).
cnf(c_0_1450_0,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_1450]) ).
cnf(c_0_1450_1,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))))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ),
inference(literals_permutation,[status(thm)],[c_0_1450]) ).
cnf(c_0_1451_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_3,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_4,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_5,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_7,axiom,
( ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1452_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_3,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_4,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_5,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_7,axiom,
( ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X2,sk1_esk9_5(X1,X2,X3,X5,X4))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_A1374816149t_bool(X3,sk1_esk9_5(X1,X2,X3,X5,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1453_0,axiom,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_1,axiom,
( X1 = X3
| X2 = X1
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_2,axiom,
( X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_5,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_6,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_7,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_8,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1454_0,axiom,
( X2 = X1
| X1 = X3
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_1,axiom,
( X1 = X3
| X2 = X1
| X2 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_2,axiom,
( X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_5,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_6,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_7,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_8,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_11,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,sk1_esk3_5(X5,X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A1374816149t_bool(X5,sk1_esk3_5(X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1455_0,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)))) ),
inference(literals_permutation,[status(thm)],[c_0_1455]) ).
cnf(c_0_1455_1,axiom,
( ~ 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(literals_permutation,[status(thm)],[c_0_1455]) ).
cnf(c_0_1456_0,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))))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ),
inference(literals_permutation,[status(thm)],[c_0_1456]) ).
cnf(c_0_1456_1,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_1456]) ).
cnf(c_0_1461_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_5,axiom,
( is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_6,axiom,
( ~ is_Arr553848933le_alt(X1)
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_7,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_8,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_9,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_11,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_12,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| is_Arr625519182e_indi(sk1_esk2_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1462_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_4,axiom,
( is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_5,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_6,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_7,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_8,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_9,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_11,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_12,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1463_0,axiom,
( X2 = X1
| X4 = X3
| X2 = X3
| X1 = X4
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_1,axiom,
( X4 = X3
| X2 = X1
| X2 = X3
| X1 = X4
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_2,axiom,
( X2 = X3
| X4 = X3
| X2 = X1
| X1 = X4
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_3,axiom,
( X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_4,axiom,
( is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_5,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_6,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_7,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_8,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_9,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_10,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_11,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_12,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk1_6(X6,X5,X4,X3,X2,X1))
| X1 = X4
| X2 = X3
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1464_0,axiom,
( X2 = X1
| X4 = X3
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_1,axiom,
( X4 = X3
| X2 = X1
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_2,axiom,
( is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_8,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1465_0,axiom,
( X2 = X1
| X4 = X3
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_1,axiom,
( X4 = X3
| X2 = X1
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_2,axiom,
( is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_8,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(f,X6)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk4_6(X6,X5,X4,X3,X2,X1))
| X4 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1466_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_2,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_3,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_4,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_5,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1467_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_2,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_3,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_4,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_5,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1468_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_6,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_7,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1469_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_3,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_6,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_7,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X3,sk1_esk5_4(X4,X3,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,sk1_esk5_4(X4,X3,X2,X1))))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1470_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1470_1,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1470_2,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1470_3,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1470_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X2,sk1_esk14_4(X1,X2,X4,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1470_5,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A1374816149t_bool(X2,sk1_esk14_4(X1,X2,X4,X3))))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1471_0,axiom,
( is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_2,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_3,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_4,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_5,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_6,axiom,
( ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1472_0,axiom,
( is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_2,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_3,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_4,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_5,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ is_Arr553848933le_alt(X5)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_6,axiom,
( ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X3)))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X4)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(sk1_esk9_5(X1,X2,X3,X5,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1473_0,axiom,
( X2 = X1
| X1 = X3
| X2 = X3
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_1,axiom,
( X1 = X3
| X2 = X1
| X2 = X3
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_2,axiom,
( X2 = X3
| X1 = X3
| X2 = X1
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_3,axiom,
( is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_8,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1474_0,axiom,
( X2 = X1
| X1 = X3
| X2 = X3
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_1,axiom,
( X1 = X3
| X2 = X1
| X2 = X3
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_2,axiom,
( X2 = X3
| X1 = X3
| X2 = X1
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_3,axiom,
( is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_4,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_8,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_9,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_f695124765t_bool(f,X5)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk3_5(X5,X4,X3,X2,X1))
| X2 = X3
| X1 = X3
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1475_0,axiom,
( 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,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1475]) ).
cnf(c_0_1475_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| 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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1475]) ).
cnf(c_0_1475_2,axiom,
( ~ 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,X1)),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,X1)),e)))
| 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1475]) ).
cnf(c_0_1475_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),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,X1)),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,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1475]) ).
cnf(c_0_1475_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),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,X1)),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,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ),
inference(literals_permutation,[status(thm)],[c_0_1475]) ).
cnf(c_0_1476_0,axiom,
( 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1476]) ).
cnf(c_0_1476_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1476]) ).
cnf(c_0_1476_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ 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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1476]) ).
cnf(c_0_1476_3,axiom,
( ~ 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,X1)),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,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1476]) ).
cnf(c_0_1476_4,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),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,X1)),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,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1476]) ).
cnf(c_0_1477_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1477]) ).
cnf(c_0_1477_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ 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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1477]) ).
cnf(c_0_1477_2,axiom,
( ~ 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,X1)),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,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1477]) ).
cnf(c_0_1477_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),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,X1)),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,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1477]) ).
cnf(c_0_1479_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1479_1,axiom,
( 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,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1479_2,axiom,
( ~ 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,X1)),c),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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1479_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1479_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1480_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1480_1,axiom,
( 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,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1480_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1480_3,axiom,
( ~ 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1480_4,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1481_0,axiom,
( 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,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1481_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| 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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1481_2,axiom,
( ~ 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,X1)),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,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1481_3,axiom,
( hAPP_A588601142di_nat(h,X1) != 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,X1)),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,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1481_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != 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,X1)),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,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1482_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1482]) ).
cnf(c_0_1482_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ 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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1482]) ).
cnf(c_0_1482_2,axiom,
( ~ 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1482]) ).
cnf(c_0_1482_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1482]) ).
cnf(c_0_1483_0,axiom,
( 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1483_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1483_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ 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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1483_3,axiom,
( ~ 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,X1)),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,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1483_4,axiom,
( hAPP_A588601142di_nat(h,X1) != 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,X1)),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,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1484_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1484_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ 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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1484_2,axiom,
( ~ 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,X1)),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,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1484_3,axiom,
( hAPP_A588601142di_nat(h,X1) != 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,X1)),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,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1485_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1485_1,axiom,
( 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,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1485_2,axiom,
( ~ 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,X1)),c),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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1485_3,axiom,
( hAPP_A588601142di_nat(h,X1) != 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,X1)),c),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1485_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != 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,X1)),c),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1486_0,axiom,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1487_0,axiom,
( X1 = X2
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1487_1,axiom,
( ~ is_fun282293932t_bool(X1)
| X1 = X2
| ~ is_fun282293932t_bool(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1487_2,axiom,
( ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1487_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1487_4,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1488_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1488_1,axiom,
( 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,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1488_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1488_3,axiom,
( ~ 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1488_4,axiom,
( hAPP_A588601142di_nat(h,X1) != 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1489_0,axiom,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1489_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1489_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1489_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1489_4,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1490_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1490]) ).
cnf(c_0_1490_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ 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,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1490]) ).
cnf(c_0_1490_2,axiom,
( ~ 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1490]) ).
cnf(c_0_1490_3,axiom,
( hAPP_A588601142di_nat(h,X1) != 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1490]) ).
cnf(c_0_1491_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1491]) ).
cnf(c_0_1491_1,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1491]) ).
cnf(c_0_1491_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1491]) ).
cnf(c_0_1491_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1491]) ).
cnf(c_0_1492_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk26_2(X2,X1),sk1_esk27_2(X2,X1))),hAPP_f695124765t_bool(X1,sk1_esk25_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1492]) ).
cnf(c_0_1492_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk26_2(X2,X1),sk1_esk27_2(X2,X1))),hAPP_f695124765t_bool(X1,sk1_esk25_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1492]) ).
cnf(c_0_1492_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk26_2(X2,X1),sk1_esk27_2(X2,X1))),hAPP_f695124765t_bool(X1,sk1_esk25_2(X2,X1))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1492]) ).
cnf(c_0_1493_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1493_1,axiom,
( 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1493_2,axiom,
( ~ 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1493_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1493_4,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1494_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1494]) ).
cnf(c_0_1494_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1494]) ).
cnf(c_0_1494_2,axiom,
( 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1494]) ).
cnf(c_0_1494_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1494]) ).
cnf(c_0_1494_4,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1494]) ).
cnf(c_0_1495_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1495]) ).
cnf(c_0_1495_1,axiom,
( 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1495]) ).
cnf(c_0_1495_2,axiom,
( ~ 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1495]) ).
cnf(c_0_1495_3,axiom,
( ~ 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1495]) ).
cnf(c_0_1495_4,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| ~ 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1495]) ).
cnf(c_0_1496_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1496]) ).
cnf(c_0_1496_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1496]) ).
cnf(c_0_1496_2,axiom,
( 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1496]) ).
cnf(c_0_1496_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1496]) ).
cnf(c_0_1496_4,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1496]) ).
cnf(c_0_1497_0,axiom,
( 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1497]) ).
cnf(c_0_1497_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1497]) ).
cnf(c_0_1497_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1497]) ).
cnf(c_0_1497_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ),
inference(literals_permutation,[status(thm)],[c_0_1497]) ).
cnf(c_0_1498_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_7,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1499_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1499_1,axiom,
( 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1499_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1499_3,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| 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,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1500_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1500_1,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1500_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1500_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1500_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1501_0,axiom,
( 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1501]) ).
cnf(c_0_1501_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1501]) ).
cnf(c_0_1501_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1501]) ).
cnf(c_0_1501_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1501]) ).
cnf(c_0_1502_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1502]) ).
cnf(c_0_1502_1,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1502]) ).
cnf(c_0_1502_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1502]) ).
cnf(c_0_1502_3,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1502]) ).
cnf(c_0_1502_4,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1502]) ).
cnf(c_0_1503_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1503_1,axiom,
( ~ 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1503_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1503_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1504_0,axiom,
( X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1504]) ).
cnf(c_0_1504_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1504]) ).
cnf(c_0_1504_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| X1 = X2
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1504]) ).
cnf(c_0_1504_3,axiom,
( ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| X1 = X2
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1504]) ).
cnf(c_0_1504_4,axiom,
( ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1504]) ).
cnf(c_0_1505_0,axiom,
( X2 = X1
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_1,axiom,
( is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_5,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_6,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1506_0,axiom,
( X2 = X1
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_1,axiom,
( is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_5,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_6,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X3)))
| is_Arr625519182e_indi(sk1_esk5_4(X4,X3,X2,X1))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1507_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1507]) ).
cnf(c_0_1507_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1507]) ).
cnf(c_0_1507_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1507]) ).
cnf(c_0_1507_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1507]) ).
cnf(c_0_1508_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1508]) ).
cnf(c_0_1508_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1508]) ).
cnf(c_0_1508_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1508]) ).
cnf(c_0_1509_0,axiom,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1509]) ).
cnf(c_0_1509_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1509]) ).
cnf(c_0_1509_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1509]) ).
cnf(c_0_1509_3,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1509]) ).
cnf(c_0_1509_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n ),
inference(literals_permutation,[status(thm)],[c_0_1509]) ).
cnf(c_0_1510_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ 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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1510]) ).
cnf(c_0_1510_1,axiom,
( ~ 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,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1510]) ).
cnf(c_0_1510_2,axiom,
( ~ 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,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1510]) ).
cnf(c_0_1510_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ 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,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1510]) ).
cnf(c_0_1511_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1511_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1511_2,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1511_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1511_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1512_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk26_2(X2,X1),sk1_esk27_2(X2,X1))),hAPP_A1374816149t_bool(sk1_esk25_2(X2,X1),X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(literals_permutation,[status(thm)],[c_0_1512]) ).
cnf(c_0_1512_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk26_2(X2,X1),sk1_esk27_2(X2,X1))),hAPP_A1374816149t_bool(sk1_esk25_2(X2,X1),X2)))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(literals_permutation,[status(thm)],[c_0_1512]) ).
cnf(c_0_1512_2,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk26_2(X2,X1),sk1_esk27_2(X2,X1))),hAPP_A1374816149t_bool(sk1_esk25_2(X2,X1),X2)))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1512]) ).
cnf(c_0_1513_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1513_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1513_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1513_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1514_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_7,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_9,axiom,
( X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1515_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_7,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_10,axiom,
( X3 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1516_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1516]) ).
cnf(c_0_1516_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1516]) ).
cnf(c_0_1516_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1516]) ).
cnf(c_0_1516_3,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1516]) ).
cnf(c_0_1516_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1516]) ).
cnf(c_0_1517_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_3,axiom,
( X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1518_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_3,axiom,
( X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1519_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1519_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1519_2,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1519_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1520_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk11_1(X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk10_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1520]) ).
cnf(c_0_1520_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk11_1(X1))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk10_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1520]) ).
cnf(c_0_1520_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk10_1(X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk11_1(X1))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1520]) ).
cnf(c_0_1521_0,axiom,
( hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1521_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1521_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1521_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1521_4,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1522_0,axiom,
( X2 = X1
| X4 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_1,axiom,
( X4 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1
| X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_3,axiom,
( X4 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_10,axiom,
( X3 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X4 = X1
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1523_0,axiom,
( X2 = X1
| X4 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_1,axiom,
( X4 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 = X1
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_3,axiom,
( X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 = X1
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 = X1
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 = X1
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1524_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_2,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_3,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_4,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_5,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_6,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_7,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X2 = X1
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_8,axiom,
( X4 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1525_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1525_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1525_2,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1525_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1525_4,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1526_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1526_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1526_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1526_3,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1526_4,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1527_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1527]) ).
cnf(c_0_1527_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1527]) ).
cnf(c_0_1527_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(literals_permutation,[status(thm)],[c_0_1527]) ).
cnf(c_0_1528_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1528]) ).
cnf(c_0_1528_1,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1528]) ).
cnf(c_0_1528_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1528]) ).
cnf(c_0_1528_3,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1528]) ).
cnf(c_0_1529_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1529]) ).
cnf(c_0_1529_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1529]) ).
cnf(c_0_1529_2,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1529]) ).
cnf(c_0_1529_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1529]) ).
cnf(c_0_1530_0,axiom,
( X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_1,axiom,
( ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_2,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_3,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_5,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X4 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_7,axiom,
( X4 != X3
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1531_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk11_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk10_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1531]) ).
cnf(c_0_1531_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk11_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk10_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1531]) ).
cnf(c_0_1531_2,axiom,
( ~ is_Arr625519182e_indi(X2)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk11_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk10_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1531]) ).
cnf(c_0_1531_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk10_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk11_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1531]) ).
cnf(c_0_1532_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk10_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk11_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1532]) ).
cnf(c_0_1532_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk10_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk11_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1532]) ).
cnf(c_0_1532_2,axiom,
( ~ is_Arr625519182e_indi(X2)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk10_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk11_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1532]) ).
cnf(c_0_1532_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk11_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_A1374816149t_bool(sk1_esk10_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1532]) ).
cnf(c_0_1533_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_7,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_9,axiom,
( X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_10,axiom,
( X3 != X1
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1534_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_3,axiom,
( X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_9,axiom,
( X4 != X2
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| X4 != X2
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1535_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_3,axiom,
( X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_10,axiom,
( X3 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1536_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_3,axiom,
( X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_9,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_10,axiom,
( X3 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1537_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_3,axiom,
( X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_4,axiom,
( X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_8,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_9,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_10,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1538_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| is_Arr625519182e_indi(sk1_esk14_4(X1,X2,X4,X3))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1538_1,axiom,
( is_Arr625519182e_indi(sk1_esk14_4(X1,X2,X4,X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1538_2,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr625519182e_indi(sk1_esk14_4(X1,X2,X4,X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1538_3,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr625519182e_indi(sk1_esk14_4(X1,X2,X4,X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1538_4,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr625519182e_indi(sk1_esk14_4(X1,X2,X4,X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1538_5,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr625519182e_indi(sk1_esk14_4(X1,X2,X4,X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_f695124765t_bool(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1539_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_6,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_7,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_8,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_9,axiom,
( X4 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1540_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1540]) ).
cnf(c_0_1540_1,axiom,
( 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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1540]) ).
cnf(c_0_1540_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1540]) ).
cnf(c_0_1540_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1540]) ).
cnf(c_0_1541_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1),X2),X3)),arrow_1239002508le_Lin))
| X2 = X3
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1541]) ).
cnf(c_0_1541_1,axiom,
( X2 = X3
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1),X2),X3)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1541]) ).
cnf(c_0_1541_2,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| X2 = X3
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1),X2),X3)),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1541]) ).
cnf(c_0_1541_3,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| X2 = X3
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1),X2),X3)),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1541]) ).
cnf(c_0_1541_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| X2 = X3
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1),X2),X3)),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1541]) ).
cnf(c_0_1542_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1542]) ).
cnf(c_0_1542_1,axiom,
( 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,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1542]) ).
cnf(c_0_1542_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1542]) ).
cnf(c_0_1542_3,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1542]) ).
cnf(c_0_1543_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk11_1(X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk10_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1543]) ).
cnf(c_0_1543_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk11_1(X1))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk10_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1543]) ).
cnf(c_0_1543_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk10_1(X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk12_1(X1),sk1_esk13_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk11_1(X1))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1543]) ).
cnf(c_0_1544_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1544_1,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1544_2,axiom,
( ~ is_Arr553848933le_alt(X1)
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1544_3,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1544_4,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1544_5,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1545_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1545_1,axiom,
( X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1545_2,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1545_3,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1545_4,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1545_5,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1546_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1546]) ).
cnf(c_0_1546_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1546]) ).
cnf(c_0_1546_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1546]) ).
cnf(c_0_1547_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_3,axiom,
( X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_9,axiom,
( X4 != X2
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_10,axiom,
( X3 != X1
| X4 != X2
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1548_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_3,axiom,
( X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_4,axiom,
( X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_5,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_6,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_7,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_8,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_9,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_10,axiom,
( X3 != X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1549_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X3
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_2,axiom,
( X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_3,axiom,
( X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_4,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_5,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_6,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_7,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_8,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_9,axiom,
( X4 != X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X1
| X4 = X3
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X2),X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1550_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1550]) ).
cnf(c_0_1550_1,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1550]) ).
cnf(c_0_1550_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1550]) ).
cnf(c_0_1550_3,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1550]) ).
cnf(c_0_1550_4,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1550]) ).
cnf(c_0_1551_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1551_1,axiom,
( X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1551_2,axiom,
( X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1551_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1551_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1551_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1551_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1552_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1552_1,axiom,
( X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1552_2,axiom,
( X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1552_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1552_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1552_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1552_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1553_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1553_1,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1553_2,axiom,
( X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1553_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1553_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1553_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1553_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1554_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1554_1,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1554_2,axiom,
( X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1554_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1554_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1554_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1554_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1555_0,axiom,
( X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1555_1,axiom,
( ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1555_2,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1555_3,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1555_4,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1555_5,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1556_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk16_1(X1),sk1_esk17_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk15_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1556]) ).
cnf(c_0_1556_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk16_1(X1),sk1_esk17_1(X1))),hAPP_f695124765t_bool(X1,sk1_esk15_1(X1))))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1556]) ).
cnf(c_0_1557_0,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1557]) ).
cnf(c_0_1557_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1557]) ).
cnf(c_0_1557_2,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1557]) ).
cnf(c_0_1558_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1558]) ).
cnf(c_0_1558_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1558]) ).
cnf(c_0_1558_2,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X3))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1558]) ).
cnf(c_0_1559_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1559]) ).
cnf(c_0_1559_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1559]) ).
cnf(c_0_1559_2,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X3))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1559]) ).
cnf(c_0_1560_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1560]) ).
cnf(c_0_1560_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1560]) ).
cnf(c_0_1560_2,axiom,
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X3))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1560]) ).
cnf(c_0_1561_0,axiom,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1561]) ).
cnf(c_0_1561_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1561]) ).
cnf(c_0_1561_2,axiom,
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X3))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1561]) ).
cnf(c_0_1562_0,axiom,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1562]) ).
cnf(c_0_1562_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1562]) ).
cnf(c_0_1562_2,axiom,
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X3))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1562]) ).
cnf(c_0_1563_0,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1563]) ).
cnf(c_0_1563_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1563]) ).
cnf(c_0_1563_2,axiom,
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X3))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1563]) ).
cnf(c_0_1564_0,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1564]) ).
cnf(c_0_1564_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1564]) ).
cnf(c_0_1564_2,axiom,
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X3))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1564]) ).
cnf(c_0_1565_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1565]) ).
cnf(c_0_1565_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1565]) ).
cnf(c_0_1565_2,axiom,
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X3))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1565]) ).
cnf(c_0_1566_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1566]) ).
cnf(c_0_1566_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1566]) ).
cnf(c_0_1566_2,axiom,
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X3))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1566]) ).
cnf(c_0_1567_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1567]) ).
cnf(c_0_1567_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1567]) ).
cnf(c_0_1567_2,axiom,
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X3))))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1567]) ).
cnf(c_0_1568_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1568]) ).
cnf(c_0_1568_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1568]) ).
cnf(c_0_1568_2,axiom,
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X3))))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1568]) ).
cnf(c_0_1569_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1569]) ).
cnf(c_0_1569_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1569]) ).
cnf(c_0_1569_2,axiom,
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X3))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1569]) ).
cnf(c_0_1570_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1570]) ).
cnf(c_0_1570_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1570]) ).
cnf(c_0_1570_2,axiom,
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X3))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1570]) ).
cnf(c_0_1571_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1571]) ).
cnf(c_0_1571_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1571]) ).
cnf(c_0_1571_2,axiom,
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X3))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1571]) ).
cnf(c_0_1572_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1572]) ).
cnf(c_0_1572_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1572]) ).
cnf(c_0_1572_2,axiom,
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X3))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1572]) ).
cnf(c_0_1573_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1573]) ).
cnf(c_0_1573_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),X3))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1573]) ).
cnf(c_0_1573_2,axiom,
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X3))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1573]) ).
cnf(c_0_1574_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1574]) ).
cnf(c_0_1574_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_1574]) ).
cnf(c_0_1574_2,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X3))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1574]) ).
cnf(c_0_1575_0,axiom,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X2
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1575]) ).
cnf(c_0_1575_1,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X2
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1575]) ).
cnf(c_0_1575_2,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X2
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1575]) ).
cnf(c_0_1575_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 != X2
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1575]) ).
cnf(c_0_1575_4,axiom,
( X3 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1575]) ).
cnf(c_0_1575_5,axiom,
( X2 != X1
| X3 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1575]) ).
cnf(c_0_1576_0,axiom,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1576]) ).
cnf(c_0_1576_1,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1576]) ).
cnf(c_0_1576_2,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1576]) ).
cnf(c_0_1576_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 != X2
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1576]) ).
cnf(c_0_1576_4,axiom,
( X3 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1576]) ).
cnf(c_0_1576_5,axiom,
( X3 != X1
| X3 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1576]) ).
cnf(c_0_1577_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk25_2(X2,X1)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(literals_permutation,[status(thm)],[c_0_1577]) ).
cnf(c_0_1577_1,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk25_2(X2,X1)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(literals_permutation,[status(thm)],[c_0_1577]) ).
cnf(c_0_1577_2,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk25_2(X2,X1)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1577]) ).
cnf(c_0_1578_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = 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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1578]) ).
cnf(c_0_1578_1,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),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,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1578]) ).
cnf(c_0_1578_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1578]) ).
cnf(c_0_1578_3,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1578]) ).
cnf(c_0_1578_4,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(literals_permutation,[status(thm)],[c_0_1578]) ).
cnf(c_0_1579_0,axiom,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1579]) ).
cnf(c_0_1579_1,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1579]) ).
cnf(c_0_1579_2,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1579]) ).
cnf(c_0_1579_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1579]) ).
cnf(c_0_1579_4,axiom,
( X3 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1579]) ).
cnf(c_0_1580_0,axiom,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1580]) ).
cnf(c_0_1580_1,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1580]) ).
cnf(c_0_1580_2,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1580]) ).
cnf(c_0_1580_3,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1580]) ).
cnf(c_0_1580_4,axiom,
( X2 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1580]) ).
cnf(c_0_1582_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),hAPP_A1944296755l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1582]) ).
cnf(c_0_1582_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),hAPP_A1944296755l_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1582]) ).
cnf(c_0_1582_2,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X4,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X2)),hAPP_A1944296755l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1582]) ).
cnf(c_0_1583_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),hAPP_f861484971l_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1583]) ).
cnf(c_0_1583_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),hAPP_f861484971l_bool(X3,X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1583]) ).
cnf(c_0_1583_2,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X4,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X2)),hAPP_f861484971l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1583]) ).
cnf(c_0_1584_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),hAPP_b1965422783l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1584]) ).
cnf(c_0_1584_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),hAPP_b1965422783l_bool(X3,X2)))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1584]) ).
cnf(c_0_1584_2,axiom,
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X4,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X2)),hAPP_b1965422783l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1584]) ).
cnf(c_0_1585_0,axiom,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),hAPP_b990649139l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1585]) ).
cnf(c_0_1585_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),hAPP_b990649139l_bool(X3,X2)))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1585]) ).
cnf(c_0_1585_2,axiom,
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X4,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X2)),hAPP_b990649139l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1585]) ).
cnf(c_0_1586_0,axiom,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),hAPP_A1964572607l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1586]) ).
cnf(c_0_1586_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),hAPP_A1964572607l_bool(X3,X2)))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1586]) ).
cnf(c_0_1586_2,axiom,
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X4,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X2)),hAPP_A1964572607l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1586]) ).
cnf(c_0_1587_0,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),hAPP_b1719629739l_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1587]) ).
cnf(c_0_1587_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),hAPP_b1719629739l_bool(X3,X2)))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1587]) ).
cnf(c_0_1587_2,axiom,
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X4,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X2)),hAPP_b1719629739l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1587]) ).
cnf(c_0_1588_0,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),hAPP_A1912483895l_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1588]) ).
cnf(c_0_1588_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),hAPP_A1912483895l_bool(X3,X2)))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1588]) ).
cnf(c_0_1588_2,axiom,
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X4,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X2)),hAPP_A1912483895l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1588]) ).
cnf(c_0_1589_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),hAPP_b1024867081t_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1589]) ).
cnf(c_0_1589_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),hAPP_b1024867081t_bool(X3,X2)))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1589]) ).
cnf(c_0_1589_2,axiom,
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X4,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X2)),hAPP_b1024867081t_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1589]) ).
cnf(c_0_1590_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,X2)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1590]) ).
cnf(c_0_1590_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,X2)))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1590]) ).
cnf(c_0_1590_2,axiom,
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X4,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1590]) ).
cnf(c_0_1591_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),hAPP_f417299659l_bool(X3,X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1591]) ).
cnf(c_0_1591_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),hAPP_f417299659l_bool(X3,X2)))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1591]) ).
cnf(c_0_1591_2,axiom,
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X4,X3)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X2)),hAPP_f417299659l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1591]) ).
cnf(c_0_1592_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),hAPP_f352490559i_bool(X3,X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1592]) ).
cnf(c_0_1592_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),hAPP_f352490559i_bool(X3,X2)))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1592]) ).
cnf(c_0_1592_2,axiom,
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X4,X3)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X2)),hAPP_f352490559i_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1592]) ).
cnf(c_0_1593_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),hAPP_f497468491l_bool(X3,X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1593]) ).
cnf(c_0_1593_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),hAPP_f497468491l_bool(X3,X2)))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1593]) ).
cnf(c_0_1593_2,axiom,
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X4,X3)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X2)),hAPP_f497468491l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1593]) ).
cnf(c_0_1594_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),hAPP_f355113919i_bool(X3,X2)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1594]) ).
cnf(c_0_1594_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),hAPP_f355113919i_bool(X3,X2)))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1594]) ).
cnf(c_0_1594_2,axiom,
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X4,X3)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X2)),hAPP_f355113919i_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1594]) ).
cnf(c_0_1595_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),hAPP_f313042899l_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1595]) ).
cnf(c_0_1595_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),hAPP_f313042899l_bool(X3,X2)))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1595]) ).
cnf(c_0_1595_2,axiom,
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X4,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X2)),hAPP_f313042899l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1595]) ).
cnf(c_0_1596_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),hAPP_f749892423i_bool(X3,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1596]) ).
cnf(c_0_1596_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),hAPP_f749892423i_bool(X3,X2)))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1596]) ).
cnf(c_0_1596_2,axiom,
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X4,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X2)),hAPP_f749892423i_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1596]) ).
cnf(c_0_1597_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),hAPP_P907763049i_bool(X3,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1597]) ).
cnf(c_0_1597_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),hAPP_P907763049i_bool(X3,X2)))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1597]) ).
cnf(c_0_1597_2,axiom,
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X4,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X2)),hAPP_P907763049i_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1597]) ).
cnf(c_0_1598_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),hAPP_P2127852789l_bool(X3,X2)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1598]) ).
cnf(c_0_1598_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),hAPP_P2127852789l_bool(X3,X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1598]) ).
cnf(c_0_1598_2,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X4,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X4))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X2)),hAPP_P2127852789l_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1598]) ).
cnf(c_0_1599_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X3,X1)),hAPP_A1944296755l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),pi_Arr688267935t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1599]) ).
cnf(c_0_1599_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X3,X1)),hAPP_A1944296755l_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),pi_Arr688267935t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1599]) ).
cnf(c_0_1599_2,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),pi_Arr688267935t_bool(X2,X4)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X3,X1)),hAPP_A1944296755l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1599]) ).
cnf(c_0_1600_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X3,X1)),hAPP_f861484971l_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),pi_fun433100839t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1600]) ).
cnf(c_0_1600_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X3,X1)),hAPP_f861484971l_bool(X4,X1)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),pi_fun433100839t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1600]) ).
cnf(c_0_1600_2,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),pi_fun433100839t_bool(X2,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X3,X1)),hAPP_f861484971l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1600]) ).
cnf(c_0_1601_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X3,X1)),hAPP_f417299659l_bool(X4,X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X3),pi_fun1727820731l_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1601]) ).
cnf(c_0_1601_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X3,X1)),hAPP_f417299659l_bool(X4,X1)))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X3),pi_fun1727820731l_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1601]) ).
cnf(c_0_1601_2,axiom,
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X3),pi_fun1727820731l_bool(X2,X4)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X3,X1)),hAPP_f417299659l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1601]) ).
cnf(c_0_1602_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X3,X1)),hAPP_f352490559i_bool(X4,X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X3),pi_fun972956463e_indi(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1602]) ).
cnf(c_0_1602_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X3,X1)),hAPP_f352490559i_bool(X4,X1)))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X3),pi_fun972956463e_indi(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1602]) ).
cnf(c_0_1602_2,axiom,
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X3),pi_fun972956463e_indi(X2,X4)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X3,X1)),hAPP_f352490559i_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1602]) ).
cnf(c_0_1603_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X3,X1)),hAPP_f497468491l_bool(X4,X1)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X3),pi_fun525942951l_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1603]) ).
cnf(c_0_1603_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X3,X1)),hAPP_f497468491l_bool(X4,X1)))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X3),pi_fun525942951l_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1603]) ).
cnf(c_0_1603_2,axiom,
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X3),pi_fun525942951l_bool(X2,X4)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X3,X1)),hAPP_f497468491l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1603]) ).
cnf(c_0_1604_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X3,X1)),hAPP_f355113919i_bool(X4,X1)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X3),pi_fun2075749915e_indi(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1604]) ).
cnf(c_0_1604_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X3,X1)),hAPP_f355113919i_bool(X4,X1)))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X3),pi_fun2075749915e_indi(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1604]) ).
cnf(c_0_1604_2,axiom,
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X3),pi_fun2075749915e_indi(X2,X4)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X3,X1)),hAPP_f355113919i_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1604]) ).
cnf(c_0_1605_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X3,X1)),hAPP_f313042899l_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X3),pi_fun1494794527l_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1605]) ).
cnf(c_0_1605_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X3,X1)),hAPP_f313042899l_bool(X4,X1)))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X3),pi_fun1494794527l_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1605]) ).
cnf(c_0_1605_2,axiom,
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X3),pi_fun1494794527l_bool(X2,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X3,X1)),hAPP_f313042899l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1605]) ).
cnf(c_0_1606_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X3,X1)),hAPP_f749892423i_bool(X4,X1)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X3),pi_fun1736243859e_indi(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1606]) ).
cnf(c_0_1606_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X3,X1)),hAPP_f749892423i_bool(X4,X1)))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X3),pi_fun1736243859e_indi(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1606]) ).
cnf(c_0_1606_2,axiom,
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X3),pi_fun1736243859e_indi(X2,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X3,X1)),hAPP_f749892423i_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1606]) ).
cnf(c_0_1607_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X3,X1)),hAPP_P907763049i_bool(X4,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X3),pi_Pro437273841e_indi(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1607]) ).
cnf(c_0_1607_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X3,X1)),hAPP_P907763049i_bool(X4,X1)))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X3),pi_Pro437273841e_indi(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1607]) ).
cnf(c_0_1607_2,axiom,
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X3),pi_Pro437273841e_indi(X2,X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X3,X1)),hAPP_P907763049i_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1607]) ).
cnf(c_0_1608_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X3,X1)),hAPP_b1965422783l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X3),pi_boo2007389459t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1608]) ).
cnf(c_0_1608_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X3,X1)),hAPP_b1965422783l_bool(X4,X1)))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X3),pi_boo2007389459t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1608]) ).
cnf(c_0_1608_2,axiom,
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X3),pi_boo2007389459t_bool(X2,X4)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X3,X1)),hAPP_b1965422783l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1608]) ).
cnf(c_0_1609_0,axiom,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X3,X1)),hAPP_b990649139l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X3),pi_boo71521447t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1609]) ).
cnf(c_0_1609_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X3,X1)),hAPP_b990649139l_bool(X4,X1)))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X3),pi_boo71521447t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1609]) ).
cnf(c_0_1609_2,axiom,
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X3),pi_boo71521447t_bool(X2,X4)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X3,X1)),hAPP_b990649139l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1609]) ).
cnf(c_0_1610_0,axiom,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X3,X1)),hAPP_A1964572607l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X3),pi_Arr372473371t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1610]) ).
cnf(c_0_1610_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X3,X1)),hAPP_A1964572607l_bool(X4,X1)))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X3),pi_Arr372473371t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1610]) ).
cnf(c_0_1610_2,axiom,
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X3),pi_Arr372473371t_bool(X2,X4)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X3,X1)),hAPP_A1964572607l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1610]) ).
cnf(c_0_1611_0,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X3,X1)),hAPP_b1719629739l_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X3),pi_boo691944735t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1611]) ).
cnf(c_0_1611_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X3,X1)),hAPP_b1719629739l_bool(X4,X1)))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X3),pi_boo691944735t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1611]) ).
cnf(c_0_1611_2,axiom,
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X3),pi_boo691944735t_bool(X2,X4)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X3,X1)),hAPP_b1719629739l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1611]) ).
cnf(c_0_1612_0,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X3,X1)),hAPP_A1912483895l_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X3),pi_Arr1511953043t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1612]) ).
cnf(c_0_1612_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X3,X1)),hAPP_A1912483895l_bool(X4,X1)))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X3),pi_Arr1511953043t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1612]) ).
cnf(c_0_1612_2,axiom,
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X3),pi_Arr1511953043t_bool(X2,X4)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X3,X1)),hAPP_A1912483895l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1612]) ).
cnf(c_0_1613_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X3,X1)),hAPP_b1024867081t_bool(X4,X1)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X3),pi_boo1877522301le_alt(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1613]) ).
cnf(c_0_1613_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X3,X1)),hAPP_b1024867081t_bool(X4,X1)))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X3),pi_boo1877522301le_alt(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1613]) ).
cnf(c_0_1613_2,axiom,
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X3),pi_boo1877522301le_alt(X2,X4)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X3,X1)),hAPP_b1024867081t_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1613]) ).
cnf(c_0_1614_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X3,X1)),hAPP_A1374816149t_bool(X4,X1)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X3),pi_Arr149813489le_alt(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1614]) ).
cnf(c_0_1614_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X3,X1)),hAPP_A1374816149t_bool(X4,X1)))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X3),pi_Arr149813489le_alt(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1614]) ).
cnf(c_0_1614_2,axiom,
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X3),pi_Arr149813489le_alt(X2,X4)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X3,X1)),hAPP_A1374816149t_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1614]) ).
cnf(c_0_1615_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X3,X1)),hAPP_P2127852789l_bool(X4,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),pi_Pro2135156861t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1615]) ).
cnf(c_0_1615_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X3,X1)),hAPP_P2127852789l_bool(X4,X1)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),pi_Pro2135156861t_bool(X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1615]) ).
cnf(c_0_1615_2,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),pi_Pro2135156861t_bool(X2,X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X3,X1)),hAPP_P2127852789l_bool(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1615]) ).
cnf(c_0_1616_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1616_1,axiom,
( ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| ~ is_fun282293932t_bool(X2)
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1616_2,axiom,
( ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1616_3,axiom,
( X1 != X2
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1616_4,axiom,
( ~ is_Arr553848933le_alt(X3)
| X1 != X2
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1616_5,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| X1 != X2
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1616_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| X1 != X2
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1617_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2)
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1617_1,axiom,
( ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| ~ is_fun282293932t_bool(X2)
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1617_2,axiom,
( ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1617_3,axiom,
( X1 != X2
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1617_4,axiom,
( ~ is_Arr553848933le_alt(X3)
| X1 != X2
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1617_5,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| X1 != X2
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1617_6,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X2))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| X1 != X2
| ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1618_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X1),X2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1618]) ).
cnf(c_0_1618_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X1),X2)),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1618]) ).
cnf(c_0_1619_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X1),X2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1619]) ).
cnf(c_0_1619_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X1),X2)),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1619]) ).
cnf(c_0_1620_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| sk1_esk27_2(X2,X1) != sk1_esk26_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1620]) ).
cnf(c_0_1620_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| sk1_esk27_2(X2,X1) != sk1_esk26_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1620]) ).
cnf(c_0_1620_2,axiom,
( sk1_esk27_2(X2,X1) != sk1_esk26_2(X2,X1)
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1620]) ).
cnf(c_0_1621_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1621]) ).
cnf(c_0_1621_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1621]) ).
cnf(c_0_1621_2,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1621]) ).
cnf(c_0_1621_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| X2 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1621]) ).
cnf(c_0_1621_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| X2 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1621]) ).
cnf(c_0_1621_5,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1621]) ).
cnf(c_0_1622_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| is_Arr553848933le_alt(sk1_esk26_2(X2,X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(literals_permutation,[status(thm)],[c_0_1622]) ).
cnf(c_0_1622_1,axiom,
( is_Arr553848933le_alt(sk1_esk26_2(X2,X1))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(literals_permutation,[status(thm)],[c_0_1622]) ).
cnf(c_0_1622_2,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| is_Arr553848933le_alt(sk1_esk26_2(X2,X1))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1622]) ).
cnf(c_0_1623_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| is_Arr553848933le_alt(sk1_esk27_2(X2,X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(literals_permutation,[status(thm)],[c_0_1623]) ).
cnf(c_0_1623_1,axiom,
( is_Arr553848933le_alt(sk1_esk27_2(X2,X1))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(literals_permutation,[status(thm)],[c_0_1623]) ).
cnf(c_0_1623_2,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
| is_Arr553848933le_alt(sk1_esk27_2(X2,X1))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1623]) ).
cnf(c_0_1624_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) = n
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1624]) ).
cnf(c_0_1624_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) = n
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1624]) ).
cnf(c_0_1624_2,axiom,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n ),
inference(literals_permutation,[status(thm)],[c_0_1624]) ).
cnf(c_0_1624_3,axiom,
( hAPP_A588601142di_nat(h,X1) != n
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1624]) ).
cnf(c_0_1625_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk16_1(X1),sk1_esk17_1(X1))),hAPP_A1374816149t_bool(sk1_esk15_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1625]) ).
cnf(c_0_1625_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk16_1(X1),sk1_esk17_1(X1))),hAPP_A1374816149t_bool(sk1_esk15_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1625]) ).
cnf(c_0_1625_2,axiom,
( ~ is_Arr625519182e_indi(X2)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(sk1_esk16_1(X1),sk1_esk17_1(X1))),hAPP_A1374816149t_bool(sk1_esk15_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1625]) ).
cnf(c_0_1626_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1626]) ).
cnf(c_0_1626_1,axiom,
( X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1626]) ).
cnf(c_0_1626_2,axiom,
( X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1626]) ).
cnf(c_0_1626_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1626]) ).
cnf(c_0_1626_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1626]) ).
cnf(c_0_1626_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1626]) ).
cnf(c_0_1626_6,axiom,
( X2 != X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X2 = X1
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1626]) ).
cnf(c_0_1627_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1627]) ).
cnf(c_0_1627_1,axiom,
( X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1627]) ).
cnf(c_0_1627_2,axiom,
( X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1627]) ).
cnf(c_0_1627_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1627]) ).
cnf(c_0_1627_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1627]) ).
cnf(c_0_1627_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1)))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1627]) ).
cnf(c_0_1627_6,axiom,
( X2 != X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1627]) ).
cnf(c_0_1628_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1628]) ).
cnf(c_0_1628_1,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1628]) ).
cnf(c_0_1628_2,axiom,
( X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1628]) ).
cnf(c_0_1628_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1628]) ).
cnf(c_0_1628_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1628]) ).
cnf(c_0_1628_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1628]) ).
cnf(c_0_1628_6,axiom,
( X3 != X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1628]) ).
cnf(c_0_1629_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X2 = X1
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1629]) ).
cnf(c_0_1629_1,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1629]) ).
cnf(c_0_1629_2,axiom,
( X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1629]) ).
cnf(c_0_1629_3,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1629]) ).
cnf(c_0_1629_4,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| ~ is_Arr553848933le_alt(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1629]) ).
cnf(c_0_1629_5,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1)))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1629]) ).
cnf(c_0_1629_6,axiom,
( X3 != X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1629]) ).
cnf(c_0_1630_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1630]) ).
cnf(c_0_1630_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1630]) ).
cnf(c_0_1630_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1630]) ).
cnf(c_0_1631_0,axiom,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1631]) ).
cnf(c_0_1631_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1631]) ).
cnf(c_0_1631_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1631]) ).
cnf(c_0_1632_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1632]) ).
cnf(c_0_1632_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1632]) ).
cnf(c_0_1632_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1632]) ).
cnf(c_0_1633_0,axiom,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1633]) ).
cnf(c_0_1633_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1633]) ).
cnf(c_0_1633_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1633]) ).
cnf(c_0_1634_0,axiom,
( hBOOL(X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1634]) ).
cnf(c_0_1634_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| hBOOL(X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1634]) ).
cnf(c_0_1634_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1634]) ).
cnf(c_0_1635_0,axiom,
( hBOOL(X1)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X3))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1635]) ).
cnf(c_0_1635_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X3))
| hBOOL(X1)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1635]) ).
cnf(c_0_1635_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X3))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1635]) ).
cnf(c_0_1636_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(inj_on24934938di_nat(X4,X3))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1636]) ).
cnf(c_0_1636_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| X1 = X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(inj_on24934938di_nat(X4,X3))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1636]) ).
cnf(c_0_1636_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| X1 = X2
| hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(inj_on24934938di_nat(X4,X3))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1636]) ).
cnf(c_0_1636_3,axiom,
( hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| X1 = X2
| ~ hBOOL(inj_on24934938di_nat(X4,X3))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1636]) ).
cnf(c_0_1636_4,axiom,
( ~ hBOOL(inj_on24934938di_nat(X4,X3))
| hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| X1 = X2
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1636]) ).
cnf(c_0_1636_5,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X4,X3))
| hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| X1 = X2
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1636]) ).
cnf(c_0_1636_6,axiom,
( ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X4,X3))
| hAPP_A588601142di_nat(X4,X1) != hAPP_A588601142di_nat(X4,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1636]) ).
cnf(c_0_1637_0,axiom,
( X1 = X2
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1637]) ).
cnf(c_0_1637_1,axiom,
( ~ is_Arr625519182e_indi(X1)
| X1 = X2
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1637]) ).
cnf(c_0_1637_2,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| X1 = X2
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1637]) ).
cnf(c_0_1637_3,axiom,
( ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| X1 = X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1637]) ).
cnf(c_0_1637_4,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| X1 = X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1637]) ).
cnf(c_0_1637_5,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| X1 = X2
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1637]) ).
cnf(c_0_1637_6,axiom,
( hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1637]) ).
cnf(c_0_1638_0,axiom,
( X2 = X3
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ is_Arr625519182e_indi(X3)
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1638]) ).
cnf(c_0_1638_1,axiom,
( hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| X2 = X3
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ is_Arr625519182e_indi(X3)
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1638]) ).
cnf(c_0_1638_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| X2 = X3
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ is_Arr625519182e_indi(X3)
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1638]) ).
cnf(c_0_1638_3,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| X2 = X3
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ is_Arr625519182e_indi(X3)
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1638]) ).
cnf(c_0_1638_4,axiom,
( ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| X2 = X3
| ~ is_Arr625519182e_indi(X3)
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1638]) ).
cnf(c_0_1638_5,axiom,
( ~ is_Arr625519182e_indi(X3)
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| X2 = X3
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1638]) ).
cnf(c_0_1638_6,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X3)
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1638]) ).
cnf(c_0_1639_0,axiom,
( X1 = X2
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1639]) ).
cnf(c_0_1639_1,axiom,
( hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1639]) ).
cnf(c_0_1639_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1639]) ).
cnf(c_0_1639_3,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1639]) ).
cnf(c_0_1639_4,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1639]) ).
cnf(c_0_1639_5,axiom,
( ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2
| ~ hBOOL(inj_on24934938di_nat(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1639]) ).
cnf(c_0_1639_6,axiom,
( ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1639]) ).
cnf(c_0_1640_0,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1640]) ).
cnf(c_0_1640_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1640]) ).
cnf(c_0_1641_0,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1641]) ).
cnf(c_0_1641_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1641]) ).
cnf(c_0_1642_0,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1642]) ).
cnf(c_0_1642_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1642]) ).
cnf(c_0_1643_0,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1643]) ).
cnf(c_0_1643_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1643]) ).
cnf(c_0_1644_0,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1644]) ).
cnf(c_0_1644_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1644]) ).
cnf(c_0_1645_0,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1645]) ).
cnf(c_0_1645_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1645]) ).
cnf(c_0_1646_0,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1646]) ).
cnf(c_0_1646_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1646]) ).
cnf(c_0_1647_0,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1647]) ).
cnf(c_0_1647_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1647]) ).
cnf(c_0_1648_0,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1648]) ).
cnf(c_0_1648_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1648]) ).
cnf(c_0_1649_0,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1649]) ).
cnf(c_0_1649_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1649]) ).
cnf(c_0_1650_0,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1650]) ).
cnf(c_0_1650_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1650]) ).
cnf(c_0_1651_0,axiom,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| ~ hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(sk1_esk7_1(X1),sk1_esk8_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1651]) ).
cnf(c_0_1651_1,axiom,
( ~ hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(sk1_esk7_1(X1),sk1_esk8_1(X1))))
| hBOOL(hAPP_P2075002375t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1651]) ).
cnf(c_0_1652_0,axiom,
( hilber1792103167di_nat(top_to1256827021i_bool,X1) = X2
| hAPP_A588601142di_nat(X1,hAPP_n385347014e_indi(X2,sk1_esk22_2(X2,X1))) != sk1_esk22_2(X2,X1)
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_fun1016509681e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1652]) ).
cnf(c_0_1652_1,axiom,
( hAPP_A588601142di_nat(X1,hAPP_n385347014e_indi(X2,sk1_esk22_2(X2,X1))) != sk1_esk22_2(X2,X1)
| hilber1792103167di_nat(top_to1256827021i_bool,X1) = X2
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_fun1016509681e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1652]) ).
cnf(c_0_1652_2,axiom,
( ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1,hAPP_n385347014e_indi(X2,sk1_esk22_2(X2,X1))) != sk1_esk22_2(X2,X1)
| hilber1792103167di_nat(top_to1256827021i_bool,X1) = X2
| ~ is_fun1016509681e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1652]) ).
cnf(c_0_1652_3,axiom,
( ~ is_fun1016509681e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1,hAPP_n385347014e_indi(X2,sk1_esk22_2(X2,X1))) != sk1_esk22_2(X2,X1)
| hilber1792103167di_nat(top_to1256827021i_bool,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1652]) ).
cnf(c_0_1653_0,axiom,
( hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2)
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1653]) ).
cnf(c_0_1653_1,axiom,
( ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1653]) ).
cnf(c_0_1653_2,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1653]) ).
cnf(c_0_1653_3,axiom,
( ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1653]) ).
cnf(c_0_1653_4,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1653]) ).
cnf(c_0_1653_5,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1653]) ).
cnf(c_0_1653_6,axiom,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1653]) ).
cnf(c_0_1654_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk29_2(X1,X2)),arrow_413697182e_Prof)) ),
inference(literals_permutation,[status(thm)],[c_0_1654]) ).
cnf(c_0_1654_1,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk29_2(X1,X2)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1654]) ).
cnf(c_0_1655_0,axiom,
( X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),sk1_esk28_2(X2,X1)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1655]) ).
cnf(c_0_1655_1,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),sk1_esk28_2(X2,X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1655]) ).
cnf(c_0_1655_2,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),sk1_esk28_2(X2,X1)))
| X2 = X1
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1655]) ).
cnf(c_0_1655_3,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),sk1_esk28_2(X2,X1)))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1655]) ).
cnf(c_0_1656_0,axiom,
( hAPP_f695124765t_bool(X1,X2) = hAPP_A1374816149t_bool(X2,X3)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1656]) ).
cnf(c_0_1656_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| hAPP_f695124765t_bool(X1,X2) = hAPP_A1374816149t_bool(X2,X3)
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1656]) ).
cnf(c_0_1656_2,axiom,
( ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| hAPP_f695124765t_bool(X1,X2) = hAPP_A1374816149t_bool(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1656]) ).
cnf(c_0_1657_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hAPP_f695124765t_bool(X1,sk1_esk29_2(X1,X2)) != hAPP_A1374816149t_bool(sk1_esk29_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1657]) ).
cnf(c_0_1657_1,axiom,
( hAPP_f695124765t_bool(X1,sk1_esk29_2(X1,X2)) != hAPP_A1374816149t_bool(sk1_esk29_2(X1,X2),X2)
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1657]) ).
cnf(c_0_1658_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1658]) ).
cnf(c_0_1658_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1658]) ).
cnf(c_0_1658_2,axiom,
( X2 != X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1658]) ).
cnf(c_0_1659_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1659]) ).
cnf(c_0_1659_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1659]) ).
cnf(c_0_1659_2,axiom,
( X1 != X3
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1659]) ).
cnf(c_0_1660_0,axiom,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1660]) ).
cnf(c_0_1660_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1660]) ).
cnf(c_0_1660_2,axiom,
( X1 != X3
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1660]) ).
cnf(c_0_1661_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1661]) ).
cnf(c_0_1661_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1661]) ).
cnf(c_0_1661_2,axiom,
( X2 != X3
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1661]) ).
cnf(c_0_1662_0,axiom,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1662]) ).
cnf(c_0_1662_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1662]) ).
cnf(c_0_1662_2,axiom,
( X2 != X3
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1662]) ).
cnf(c_0_1663_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1663]) ).
cnf(c_0_1663_1,axiom,
( X3 != X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1663]) ).
cnf(c_0_1663_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| X3 != X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1663]) ).
cnf(c_0_1664_0,axiom,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1664]) ).
cnf(c_0_1664_1,axiom,
( X3 != X2
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1664]) ).
cnf(c_0_1664_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| X3 != X2
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1664]) ).
cnf(c_0_1665_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1665]) ).
cnf(c_0_1665_1,axiom,
( X3 != X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1665]) ).
cnf(c_0_1665_2,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| X3 != X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1665]) ).
cnf(c_0_1666_0,axiom,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1666]) ).
cnf(c_0_1666_1,axiom,
( X3 != X1
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1666]) ).
cnf(c_0_1666_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| X3 != X1
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1666]) ).
cnf(c_0_1667_0,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(literals_permutation,[status(thm)],[c_0_1667]) ).
cnf(c_0_1667_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1)),arrow_413697182e_Prof)) ),
inference(literals_permutation,[status(thm)],[c_0_1667]) ).
cnf(c_0_1668_0,axiom,
( hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),hAPP_A588601142di_nat(X2,X3)) = X3
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X1))
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1668]) ).
cnf(c_0_1668_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X1))
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),hAPP_A588601142di_nat(X2,X3)) = X3
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1668]) ).
cnf(c_0_1668_2,axiom,
( ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X1))
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),hAPP_A588601142di_nat(X2,X3)) = X3
| ~ is_Arr625519182e_indi(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1668]) ).
cnf(c_0_1668_3,axiom,
( ~ is_Arr625519182e_indi(X3)
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X1))
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),hAPP_A588601142di_nat(X2,X3)) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1668]) ).
cnf(c_0_1669_0,axiom,
( hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),X3) = X4
| hAPP_A588601142di_nat(X2,X4) != X3
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X1))
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1669]) ).
cnf(c_0_1669_1,axiom,
( hAPP_A588601142di_nat(X2,X4) != X3
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),X3) = X4
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X1))
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1669]) ).
cnf(c_0_1669_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X1))
| hAPP_A588601142di_nat(X2,X4) != X3
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),X3) = X4
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ is_Arr625519182e_indi(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1669]) ).
cnf(c_0_1669_3,axiom,
( ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X1))
| hAPP_A588601142di_nat(X2,X4) != X3
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),X3) = X4
| ~ is_Arr625519182e_indi(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1669]) ).
cnf(c_0_1669_4,axiom,
( ~ is_Arr625519182e_indi(X4)
| ~ hBOOL(inj_on24934938di_nat(X2,X1))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X1))
| hAPP_A588601142di_nat(X2,X4) != X3
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1,X2),X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1669]) ).
cnf(c_0_1672_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sk1_esk20_2(X1,X2)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1672]) ).
cnf(c_0_1672_1,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sk1_esk20_2(X1,X2)),X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1672]) ).
cnf(c_0_1673_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sk1_esk21_2(X1,X2)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1673]) ).
cnf(c_0_1673_1,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(sk1_esk21_2(X1,X2)),X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1673]) ).
cnf(c_0_1674_0,axiom,
( hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(X2,X3)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_P2075002375t_bool(X1,sk1_esk6_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1674]) ).
cnf(c_0_1674_1,axiom,
( ~ is_Arr553848933le_alt(X3)
| hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(X2,X3)))
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_P2075002375t_bool(X1,sk1_esk6_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1674]) ).
cnf(c_0_1674_2,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(X2,X3)))
| ~ hBOOL(hAPP_P2075002375t_bool(X1,sk1_esk6_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1674]) ).
cnf(c_0_1674_3,axiom,
( ~ hBOOL(hAPP_P2075002375t_bool(X1,sk1_esk6_1(X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1674]) ).
cnf(c_0_1676_0,axiom,
( X2 = X1
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(sk1_esk28_2(X2,X1)),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1676]) ).
cnf(c_0_1676_1,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(sk1_esk28_2(X2,X1)),arrow_1239002508le_Lin))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1676]) ).
cnf(c_0_1676_2,axiom,
( ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(sk1_esk28_2(X2,X1)),arrow_1239002508le_Lin))
| X2 = X1
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1676]) ).
cnf(c_0_1676_3,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(sk1_esk28_2(X2,X1)),arrow_1239002508le_Lin))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1676]) ).
cnf(c_0_1677_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1677]) ).
cnf(c_0_1677_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1677]) ).
cnf(c_0_1677_2,axiom,
( X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1677]) ).
cnf(c_0_1678_0,axiom,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1678]) ).
cnf(c_0_1678_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1678]) ).
cnf(c_0_1678_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1678]) ).
cnf(c_0_1679_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1679]) ).
cnf(c_0_1679_1,axiom,
( X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1679]) ).
cnf(c_0_1679_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1679]) ).
cnf(c_0_1680_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1680]) ).
cnf(c_0_1680_1,axiom,
( X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1680]) ).
cnf(c_0_1680_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1680]) ).
cnf(c_0_1681_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1681]) ).
cnf(c_0_1681_1,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1681]) ).
cnf(c_0_1681_2,axiom,
( X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1681]) ).
cnf(c_0_1682_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1682]) ).
cnf(c_0_1682_1,axiom,
( X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1682]) ).
cnf(c_0_1682_2,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1682]) ).
cnf(c_0_1684_0,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| ~ hBOOL(top_top_bool)
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1684]) ).
cnf(c_0_1684_1,axiom,
( ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1684]) ).
cnf(c_0_1684_2,axiom,
( ~ hBOOL(X1)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1684]) ).
cnf(c_0_1685_0,axiom,
( ~ is_fun917378774i_bool(X1)
| X1 != top_to1256827021i_bool
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1685]) ).
cnf(c_0_1685_1,axiom,
( X1 != top_to1256827021i_bool
| ~ is_fun917378774i_bool(X1)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1685]) ).
cnf(c_0_1685_2,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool))
| X1 != top_to1256827021i_bool
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1685]) ).
cnf(c_0_1686_0,axiom,
( ~ is_fun282293932t_bool(X1)
| X1 != top_to2034604131t_bool
| ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1686]) ).
cnf(c_0_1686_1,axiom,
( X1 != top_to2034604131t_bool
| ~ is_fun282293932t_bool(X1)
| ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1686]) ).
cnf(c_0_1686_2,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool))
| X1 != top_to2034604131t_bool
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1686]) ).
cnf(c_0_1687_0,axiom,
( ~ is_fun631676118l_bool(X1)
| X1 != top_to40512653l_bool
| ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1687]) ).
cnf(c_0_1687_1,axiom,
( X1 != top_to40512653l_bool
| ~ is_fun631676118l_bool(X1)
| ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1687]) ).
cnf(c_0_1687_2,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool))
| X1 != top_to40512653l_bool
| ~ is_fun631676118l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1687]) ).
cnf(c_0_1688_0,axiom,
( ~ is_fun959573582l_bool(X1)
| X1 != top_to1194196741l_bool
| ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1688]) ).
cnf(c_0_1688_1,axiom,
( X1 != top_to1194196741l_bool
| ~ is_fun959573582l_bool(X1)
| ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1688]) ).
cnf(c_0_1688_2,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool))
| X1 != top_to1194196741l_bool
| ~ is_fun959573582l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1688]) ).
cnf(c_0_1689_0,axiom,
( ~ is_fun432044380l_bool(X1)
| X1 != top_to2005687013l_bool
| ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1689]) ).
cnf(c_0_1689_1,axiom,
( X1 != top_to2005687013l_bool
| ~ is_fun432044380l_bool(X1)
| ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1689]) ).
cnf(c_0_1689_2,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool))
| X1 != top_to2005687013l_bool
| ~ is_fun432044380l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1689]) ).
cnf(c_0_1690_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1690]) ).
cnf(c_0_1690_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1690]) ).
cnf(c_0_1691_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1691]) ).
cnf(c_0_1691_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1691]) ).
cnf(c_0_1692_0,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1692]) ).
cnf(c_0_1692_1,axiom,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1692]) ).
cnf(c_0_1693_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1693]) ).
cnf(c_0_1693_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1693]) ).
cnf(c_0_1694_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1694]) ).
cnf(c_0_1694_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1694]) ).
cnf(c_0_1695_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1695]) ).
cnf(c_0_1695_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1695]) ).
cnf(c_0_1696_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1696]) ).
cnf(c_0_1696_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1696]) ).
cnf(c_0_1697_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1697]) ).
cnf(c_0_1697_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1697]) ).
cnf(c_0_1698_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1698]) ).
cnf(c_0_1698_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1698]) ).
cnf(c_0_1699_0,axiom,
( hBOOL(top_top_bool)
| hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1699]) ).
cnf(c_0_1699_1,axiom,
( hBOOL(X1)
| hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1699]) ).
cnf(c_0_1699_2,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| hBOOL(X1)
| hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1699]) ).
cnf(c_0_1700_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1700]) ).
cnf(c_0_1700_1,axiom,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1700]) ).
cnf(c_0_1705_0,axiom,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),hAPP_A588601142di_nat(X1,X2)) = X2
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1705]) ).
cnf(c_0_1705_1,axiom,
( ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),hAPP_A588601142di_nat(X1,X2)) = X2
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1705]) ).
cnf(c_0_1705_2,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),hAPP_A588601142di_nat(X1,X2)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1705]) ).
cnf(c_0_1706_0,axiom,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),X2) = X3
| hAPP_A588601142di_nat(X1,X3) != X2
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1706]) ).
cnf(c_0_1706_1,axiom,
( hAPP_A588601142di_nat(X1,X3) != X2
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),X2) = X3
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1706]) ).
cnf(c_0_1706_2,axiom,
( ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1,X3) != X2
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),X2) = X3
| ~ is_Arr625519182e_indi(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1706]) ).
cnf(c_0_1706_3,axiom,
( ~ is_Arr625519182e_indi(X3)
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1,X3) != X2
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1),X2) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1706]) ).
cnf(c_0_1707_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,X2))
| hAPP_A588601142di_nat(X1,sk1_esk21_2(X1,X2)) = hAPP_A588601142di_nat(X1,sk1_esk20_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1707]) ).
cnf(c_0_1707_1,axiom,
( hAPP_A588601142di_nat(X1,sk1_esk21_2(X1,X2)) = hAPP_A588601142di_nat(X1,sk1_esk20_2(X1,X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1707]) ).
cnf(c_0_1716_0,axiom,
( X1 = X2
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1716]) ).
cnf(c_0_1716_1,axiom,
( hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1716]) ).
cnf(c_0_1716_2,axiom,
( ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1716]) ).
cnf(c_0_1716_3,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2
| ~ is_Arr625519182e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1716]) ).
cnf(c_0_1716_4,axiom,
( ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1716]) ).
cnf(c_0_1717_0,axiom,
( X2 = X1
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X2) != hAPP_A588601142di_nat(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1717]) ).
cnf(c_0_1717_1,axiom,
( ~ is_Arr625519182e_indi(X1)
| X2 = X1
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X2) != hAPP_A588601142di_nat(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1717]) ).
cnf(c_0_1717_2,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| X2 = X1
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X2) != hAPP_A588601142di_nat(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1717]) ).
cnf(c_0_1717_3,axiom,
( ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| X2 = X1
| hAPP_A588601142di_nat(X3,X2) != hAPP_A588601142di_nat(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1717]) ).
cnf(c_0_1717_4,axiom,
( hAPP_A588601142di_nat(X3,X2) != hAPP_A588601142di_nat(X3,X1)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1717]) ).
cnf(c_0_1718_0,axiom,
( hBOOL(hAPP_f745298353l_bool(X1,X2))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1718]) ).
cnf(c_0_1718_1,axiom,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X1))
| hBOOL(hAPP_f745298353l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1718]) ).
cnf(c_0_1719_0,axiom,
( hBOOL(hAPP_f785543729l_bool(X1,X2))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1719]) ).
cnf(c_0_1719_1,axiom,
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X1))
| hBOOL(hAPP_f785543729l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1719]) ).
cnf(c_0_1720_0,axiom,
( hBOOL(hAPP_f1636546729l_bool(X1,X2))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1720]) ).
cnf(c_0_1720_1,axiom,
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X1))
| hBOOL(hAPP_f1636546729l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1720]) ).
cnf(c_0_1721_0,axiom,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1721]) ).
cnf(c_0_1721_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X1))
| hBOOL(hAPP_P2075002375t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1721]) ).
cnf(c_0_1722_0,axiom,
( hBOOL(hAPP_bool_bool(X1,X2))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1722]) ).
cnf(c_0_1722_1,axiom,
( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X2),X1))
| hBOOL(hAPP_bool_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1722]) ).
cnf(c_0_1723_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(X1,X2))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1723]) ).
cnf(c_0_1723_1,axiom,
( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X1))
| hBOOL(hAPP_A1466488369i_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1723]) ).
cnf(c_0_1724_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk15_1(X1)),arrow_413697182e_Prof)) ),
inference(literals_permutation,[status(thm)],[c_0_1724]) ).
cnf(c_0_1724_1,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk15_1(X1)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1724]) ).
cnf(c_0_1725_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk10_1(X1)),arrow_413697182e_Prof)) ),
inference(literals_permutation,[status(thm)],[c_0_1725]) ).
cnf(c_0_1725_1,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk10_1(X1)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1725]) ).
cnf(c_0_1726_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk11_1(X1)),arrow_413697182e_Prof)) ),
inference(literals_permutation,[status(thm)],[c_0_1726]) ).
cnf(c_0_1726_1,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(sk1_esk11_1(X1)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1726]) ).
cnf(c_0_1727_0,axiom,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2))
| ~ hBOOL(hAPP_f745298353l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1727]) ).
cnf(c_0_1727_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(X2,X1))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1727]) ).
cnf(c_0_1728_0,axiom,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2))
| ~ hBOOL(hAPP_f785543729l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1728]) ).
cnf(c_0_1728_1,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(X2,X1))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1728]) ).
cnf(c_0_1729_0,axiom,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2))
| ~ hBOOL(hAPP_f1636546729l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1729]) ).
cnf(c_0_1729_1,axiom,
( ~ hBOOL(hAPP_f1636546729l_bool(X2,X1))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1729]) ).
cnf(c_0_1730_0,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2))
| ~ hBOOL(hAPP_P2075002375t_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1730]) ).
cnf(c_0_1730_1,axiom,
( ~ hBOOL(hAPP_P2075002375t_bool(X2,X1))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1730]) ).
cnf(c_0_1731_0,axiom,
( hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2))
| ~ hBOOL(hAPP_bool_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1731]) ).
cnf(c_0_1731_1,axiom,
( ~ hBOOL(hAPP_bool_bool(X2,X1))
| hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1731]) ).
cnf(c_0_1732_0,axiom,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2))
| ~ hBOOL(hAPP_A1466488369i_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1732]) ).
cnf(c_0_1732_1,axiom,
( ~ hBOOL(hAPP_A1466488369i_bool(X2,X1))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1732]) ).
cnf(c_0_1733_0,axiom,
( hAPP_A588601142di_nat(X3,X2) = hAPP_A588601142di_nat(X3,X1)
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1733]) ).
cnf(c_0_1733_1,axiom,
( ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X2) = hAPP_A588601142di_nat(X3,X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1733]) ).
cnf(c_0_1733_2,axiom,
( ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X2) = hAPP_A588601142di_nat(X3,X1)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1733]) ).
cnf(c_0_1733_3,axiom,
( ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X2) = hAPP_A588601142di_nat(X3,X1)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1733]) ).
cnf(c_0_1733_4,axiom,
( X2 != X1
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X1)
| hAPP_A588601142di_nat(X3,X2) = hAPP_A588601142di_nat(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1733]) ).
cnf(c_0_1734_0,axiom,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X1),X2) = X2
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1734]) ).
cnf(c_0_1734_1,axiom,
( ~ is_fun282293932t_bool(X2)
| hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1734]) ).
cnf(c_0_1735_0,axiom,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1735]) ).
cnf(c_0_1735_1,axiom,
( ~ is_fun282293932t_bool(X1)
| hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1735]) ).
cnf(c_0_1736_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| hBOOL(top_top_bool)
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1736]) ).
cnf(c_0_1736_1,axiom,
( hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1736]) ).
cnf(c_0_1736_2,axiom,
( ~ hBOOL(X1)
| hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1736]) ).
cnf(c_0_1737_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| hBOOL(X1)
| ~ hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1737]) ).
cnf(c_0_1737_1,axiom,
( hBOOL(X1)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| ~ hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1737]) ).
cnf(c_0_1737_2,axiom,
( ~ hBOOL(top_top_bool)
| hBOOL(X1)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1737]) ).
cnf(c_0_1738_0,axiom,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool))
| X1 = top_to1256827021i_bool
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1738]) ).
cnf(c_0_1738_1,axiom,
( X1 = top_to1256827021i_bool
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool))
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1738]) ).
cnf(c_0_1738_2,axiom,
( ~ is_fun917378774i_bool(X1)
| X1 = top_to1256827021i_bool
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1738]) ).
cnf(c_0_1739_0,axiom,
( hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool))
| X1 = top_to2034604131t_bool
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1739]) ).
cnf(c_0_1739_1,axiom,
( X1 = top_to2034604131t_bool
| hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool))
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1739]) ).
cnf(c_0_1739_2,axiom,
( ~ is_fun282293932t_bool(X1)
| X1 = top_to2034604131t_bool
| hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1739]) ).
cnf(c_0_1740_0,axiom,
( hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool))
| X1 = top_to40512653l_bool
| ~ is_fun631676118l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1740]) ).
cnf(c_0_1740_1,axiom,
( X1 = top_to40512653l_bool
| hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool))
| ~ is_fun631676118l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1740]) ).
cnf(c_0_1740_2,axiom,
( ~ is_fun631676118l_bool(X1)
| X1 = top_to40512653l_bool
| hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1740]) ).
cnf(c_0_1741_0,axiom,
( hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool))
| X1 = top_to1194196741l_bool
| ~ is_fun959573582l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1741]) ).
cnf(c_0_1741_1,axiom,
( X1 = top_to1194196741l_bool
| hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool))
| ~ is_fun959573582l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1741]) ).
cnf(c_0_1741_2,axiom,
( ~ is_fun959573582l_bool(X1)
| X1 = top_to1194196741l_bool
| hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1741]) ).
cnf(c_0_1742_0,axiom,
( hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool))
| X1 = top_to2005687013l_bool
| ~ is_fun432044380l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1742]) ).
cnf(c_0_1742_1,axiom,
( X1 = top_to2005687013l_bool
| hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool))
| ~ is_fun432044380l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1742]) ).
cnf(c_0_1742_2,axiom,
( ~ is_fun432044380l_bool(X1)
| X1 = top_to2005687013l_bool
| hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1742]) ).
cnf(c_0_1752_0,axiom,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1752]) ).
cnf(c_0_1752_1,axiom,
( X1 != X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1752]) ).
cnf(c_0_1754_0,axiom,
( X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1754]) ).
cnf(c_0_1754_1,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X2
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1754]) ).
cnf(c_0_1754_2,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1754]) ).
cnf(c_0_1754_3,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1754]) ).
cnf(c_0_1754_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1754]) ).
cnf(c_0_1754_5,axiom,
( produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1754]) ).
cnf(c_0_1755_0,axiom,
( X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1755]) ).
cnf(c_0_1755_1,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1755]) ).
cnf(c_0_1755_2,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1755]) ).
cnf(c_0_1755_3,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1755]) ).
cnf(c_0_1755_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1755]) ).
cnf(c_0_1755_5,axiom,
( produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1755]) ).
cnf(c_0_1756_0,axiom,
( X4 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1756]) ).
cnf(c_0_1756_1,axiom,
( ~ is_Arr553848933le_alt(X1)
| X4 = X2
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1756]) ).
cnf(c_0_1756_2,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1756]) ).
cnf(c_0_1756_3,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1756]) ).
cnf(c_0_1756_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1756]) ).
cnf(c_0_1756_5,axiom,
( produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X4 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1756]) ).
cnf(c_0_1757_0,axiom,
( X3 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1757]) ).
cnf(c_0_1757_1,axiom,
( ~ is_Arr553848933le_alt(X1)
| X3 = X1
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1757]) ).
cnf(c_0_1757_2,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1757]) ).
cnf(c_0_1757_3,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| ~ is_Arr553848933le_alt(X4)
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1757]) ).
cnf(c_0_1757_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1757]) ).
cnf(c_0_1757_5,axiom,
( produc171383831le_alt(X4,X3) != produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1757]) ).
cnf(c_0_1758_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,X2))
| sk1_esk21_2(X1,X2) != sk1_esk20_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1758]) ).
cnf(c_0_1758_1,axiom,
( sk1_esk21_2(X1,X2) != sk1_esk20_2(X1,X2)
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1758]) ).
cnf(c_0_1759_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1,sk1_esk24_1(X1)) = hAPP_A588601142di_nat(X1,sk1_esk23_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1759]) ).
cnf(c_0_1759_1,axiom,
( hAPP_A588601142di_nat(X1,sk1_esk24_1(X1)) = hAPP_A588601142di_nat(X1,sk1_esk23_1(X1))
| hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1759]) ).
cnf(c_0_1760_0,axiom,
( produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1760]) ).
cnf(c_0_1760_1,axiom,
( ~ is_Arr553848933le_alt(X1)
| produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1760]) ).
cnf(c_0_1760_2,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1760]) ).
cnf(c_0_1760_3,axiom,
( ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1)
| ~ is_Arr553848933le_alt(X4)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1760]) ).
cnf(c_0_1760_4,axiom,
( ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1760]) ).
cnf(c_0_1760_5,axiom,
( X3 != X1
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1)
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1760]) ).
cnf(c_0_1760_6,axiom,
( X4 != X2
| X3 != X1
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| produc171383831le_alt(X4,X3) = produc171383831le_alt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1760]) ).
cnf(c_0_1761_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,X2))
| is_Arr625519182e_indi(sk1_esk20_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1761]) ).
cnf(c_0_1761_1,axiom,
( is_Arr625519182e_indi(sk1_esk20_2(X1,X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1761]) ).
cnf(c_0_1762_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,X2))
| is_Arr625519182e_indi(sk1_esk21_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1762]) ).
cnf(c_0_1762_1,axiom,
( is_Arr625519182e_indi(sk1_esk21_2(X1,X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1762]) ).
cnf(c_0_1763_0,axiom,
( X2 = X1
| is_fun282293932t_bool(sk1_esk28_2(X2,X1))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1763]) ).
cnf(c_0_1763_1,axiom,
( is_fun282293932t_bool(sk1_esk28_2(X2,X1))
| X2 = X1
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1763]) ).
cnf(c_0_1763_2,axiom,
( ~ is_Arr553848933le_alt(X1)
| is_fun282293932t_bool(sk1_esk28_2(X2,X1))
| X2 = X1
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1763]) ).
cnf(c_0_1763_3,axiom,
( ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| is_fun282293932t_bool(sk1_esk28_2(X2,X1))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1763]) ).
cnf(c_0_1764_0,axiom,
( X1 = X2
| is_Arr553848933le_alt(sk1_esk18_2(X2,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1764]) ).
cnf(c_0_1764_1,axiom,
( is_Arr553848933le_alt(sk1_esk18_2(X2,X1))
| X1 = X2
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1764]) ).
cnf(c_0_1764_2,axiom,
( ~ is_fun282293932t_bool(X1)
| is_Arr553848933le_alt(sk1_esk18_2(X2,X1))
| X1 = X2
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1764]) ).
cnf(c_0_1764_3,axiom,
( ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| is_Arr553848933le_alt(sk1_esk18_2(X2,X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1764]) ).
cnf(c_0_1765_0,axiom,
( X1 = X2
| is_Arr553848933le_alt(sk1_esk19_2(X2,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1765]) ).
cnf(c_0_1765_1,axiom,
( is_Arr553848933le_alt(sk1_esk19_2(X2,X1))
| X1 = X2
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1765]) ).
cnf(c_0_1765_2,axiom,
( ~ is_fun282293932t_bool(X1)
| is_Arr553848933le_alt(sk1_esk19_2(X2,X1))
| X1 = X2
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1765]) ).
cnf(c_0_1765_3,axiom,
( ~ is_fun282293932t_bool(X2)
| ~ is_fun282293932t_bool(X1)
| is_Arr553848933le_alt(sk1_esk19_2(X2,X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1765]) ).
cnf(c_0_1766_0,axiom,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1766]) ).
cnf(c_0_1766_1,axiom,
( ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1))
| hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1766]) ).
cnf(c_0_1767_0,axiom,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1767]) ).
cnf(c_0_1767_1,axiom,
( ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1))
| hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1767]) ).
cnf(c_0_1768_0,axiom,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1768]) ).
cnf(c_0_1768_1,axiom,
( ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1))
| hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1768]) ).
cnf(c_0_1769_0,axiom,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1769]) ).
cnf(c_0_1769_1,axiom,
( ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1))
| hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1769]) ).
cnf(c_0_1770_0,axiom,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1770]) ).
cnf(c_0_1770_1,axiom,
( ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1))
| hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1770]) ).
cnf(c_0_1771_0,axiom,
( hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X1),X2) = X1
| ~ is_fun631676118l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1771]) ).
cnf(c_0_1771_1,axiom,
( ~ is_fun631676118l_bool(X1)
| hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1771]) ).
cnf(c_0_1772_0,axiom,
( hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1772]) ).
cnf(c_0_1772_1,axiom,
( ~ is_fun917378774i_bool(X1)
| hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1772]) ).
cnf(c_0_1773_0,axiom,
( hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X1),X2) = X1
| ~ is_fun631676118l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1773]) ).
cnf(c_0_1773_1,axiom,
( ~ is_fun631676118l_bool(X1)
| hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1773]) ).
cnf(c_0_1774_0,axiom,
( hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1774]) ).
cnf(c_0_1774_1,axiom,
( ~ is_fun432044380l_bool(X1)
| hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1774]) ).
cnf(c_0_1775_0,axiom,
( hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1775]) ).
cnf(c_0_1775_1,axiom,
( ~ is_bool(X1)
| hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1775]) ).
cnf(c_0_1776_0,axiom,
( hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X1),X2) = X1
| ~ is_fun959573582l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1776_1,axiom,
( ~ is_fun959573582l_bool(X1)
| hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1777_0,axiom,
( hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1777_1,axiom,
( ~ is_fun917378774i_bool(X1)
| hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1778_0,axiom,
( hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X1),X2) = X1
| ~ is_fun959573582l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1778_1,axiom,
( ~ is_fun959573582l_bool(X1)
| hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1779_0,axiom,
( hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1779]) ).
cnf(c_0_1779_1,axiom,
( ~ is_fun432044380l_bool(X1)
| hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1779]) ).
cnf(c_0_1780_0,axiom,
( hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1780_1,axiom,
( ~ is_fun917378774i_bool(X1)
| hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1781_0,axiom,
( hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1781]) ).
cnf(c_0_1781_1,axiom,
( ~ is_bool(X1)
| hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1781]) ).
cnf(c_0_1782_0,axiom,
( hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1782]) ).
cnf(c_0_1782_1,axiom,
( ~ is_fun282293932t_bool(X1)
| hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1782]) ).
cnf(c_0_1783_0,axiom,
( hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1783_1,axiom,
( ~ is_fun917378774i_bool(X1)
| hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1784_0,axiom,
( hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1784_1,axiom,
( ~ is_fun432044380l_bool(X1)
| hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1785_0,axiom,
( hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1785_1,axiom,
( ~ is_fun282293932t_bool(X1)
| hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1786_0,axiom,
( hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1786]) ).
cnf(c_0_1786_1,axiom,
( ~ is_bool(X1)
| hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1786]) ).
cnf(c_0_1787_0,axiom,
( hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1787]) ).
cnf(c_0_1787_1,axiom,
( ~ is_bool(X1)
| hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1787]) ).
cnf(c_0_1788_0,axiom,
( hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1788]) ).
cnf(c_0_1788_1,axiom,
( ~ is_bool(X1)
| hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1788]) ).
cnf(c_0_1789_0,axiom,
( is_bool(hAPP_A1466488369i_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2)
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1789_1,axiom,
( ~ is_Arr625519182e_indi(X2)
| is_bool(hAPP_A1466488369i_bool(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1789_2,axiom,
( ~ is_fun917378774i_bool(X1)
| ~ is_Arr625519182e_indi(X2)
| is_bool(hAPP_A1466488369i_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1790_0,axiom,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| is_Arr553848933le_alt(sk1_esk7_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1790_1,axiom,
( is_Arr553848933le_alt(sk1_esk7_1(X1))
| hBOOL(hAPP_P2075002375t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1791_0,axiom,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| is_Arr553848933le_alt(sk1_esk8_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1791_1,axiom,
( is_Arr553848933le_alt(sk1_esk8_1(X1))
| hBOOL(hAPP_P2075002375t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1792_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| sk1_esk24_1(X1) != sk1_esk23_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1792]) ).
cnf(c_0_1792_1,axiom,
( sk1_esk24_1(X1) != sk1_esk23_1(X1)
| hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1792]) ).
cnf(c_0_1809_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| is_Arr625519182e_indi(sk1_esk23_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1809]) ).
cnf(c_0_1809_1,axiom,
( is_Arr625519182e_indi(sk1_esk23_1(X1))
| hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1809]) ).
cnf(c_0_1810_0,axiom,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| is_Arr625519182e_indi(sk1_esk24_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1810]) ).
cnf(c_0_1810_1,axiom,
( is_Arr625519182e_indi(sk1_esk24_1(X1))
| hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1810]) ).
cnf(c_0_1811_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr553848933le_alt(sk1_esk16_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1811]) ).
cnf(c_0_1811_1,axiom,
( is_Arr553848933le_alt(sk1_esk16_1(X1))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1811]) ).
cnf(c_0_1812_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| is_Arr553848933le_alt(sk1_esk17_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1812]) ).
cnf(c_0_1812_1,axiom,
( is_Arr553848933le_alt(sk1_esk17_1(X1))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1812]) ).
cnf(c_0_1813_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| is_Arr553848933le_alt(sk1_esk12_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1813]) ).
cnf(c_0_1813_1,axiom,
( is_Arr553848933le_alt(sk1_esk12_1(X1))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1813]) ).
cnf(c_0_1814_0,axiom,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| is_Arr553848933le_alt(sk1_esk13_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1814]) ).
cnf(c_0_1814_1,axiom,
( is_Arr553848933le_alt(sk1_esk13_1(X1))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1814]) ).
cnf(c_0_1815_0,axiom,
( is_bool(hAPP_P2075002375t_bool(X1,X2))
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1815]) ).
cnf(c_0_1815_1,axiom,
( ~ is_fun282293932t_bool(X1)
| is_bool(hAPP_P2075002375t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1815]) ).
cnf(c_0_1816_0,axiom,
( is_fun282293932t_bool(hAPP_f1673487381t_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1816]) ).
cnf(c_0_1816_1,axiom,
( ~ is_fun282293932t_bool(X2)
| is_fun282293932t_bool(hAPP_f1673487381t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1816]) ).
cnf(c_0_1817_0,axiom,
( is_fun432044380l_bool(hAPP_f2056167603l_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1817]) ).
cnf(c_0_1817_1,axiom,
( ~ is_fun282293932t_bool(X2)
| is_fun432044380l_bool(hAPP_f2056167603l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1817]) ).
cnf(c_0_1818_0,axiom,
( is_fun917378774i_bool(hAPP_f352490559i_bool(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1818]) ).
cnf(c_0_1818_1,axiom,
( ~ is_fun282293932t_bool(X2)
| is_fun917378774i_bool(hAPP_f352490559i_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1818]) ).
cnf(c_0_1819_0,axiom,
( is_Arr625519182e_indi(hAPP_f1659504677e_indi(X1,X2))
| ~ is_fun282293932t_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1819]) ).
cnf(c_0_1819_1,axiom,
( ~ is_fun282293932t_bool(X2)
| is_Arr625519182e_indi(hAPP_f1659504677e_indi(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1819]) ).
cnf(c_0_1820_0,axiom,
( is_bool(hAPP_f503012287l_bool(X1,X2))
| ~ is_fun432044380l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1820]) ).
cnf(c_0_1820_1,axiom,
( ~ is_fun432044380l_bool(X2)
| is_bool(hAPP_f503012287l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1820]) ).
cnf(c_0_1821_0,axiom,
( is_bool(hAPP_f213304539l_bool(X1,X2))
| ~ is_fun631676118l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1821]) ).
cnf(c_0_1821_1,axiom,
( ~ is_fun631676118l_bool(X2)
| is_bool(hAPP_f213304539l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1821]) ).
cnf(c_0_1822_0,axiom,
( is_bool(hAPP_f785543729l_bool(X1,X2))
| ~ is_fun631676118l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1822]) ).
cnf(c_0_1822_1,axiom,
( ~ is_fun631676118l_bool(X1)
| is_bool(hAPP_f785543729l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1822]) ).
cnf(c_0_1823_0,axiom,
( is_bool(hAPP_f453661011l_bool(X1,X2))
| ~ is_fun959573582l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1823_1,axiom,
( ~ is_fun959573582l_bool(X2)
| is_bool(hAPP_f453661011l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1824_0,axiom,
( is_bool(hAPP_f1636546729l_bool(X1,X2))
| ~ is_fun959573582l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1824]) ).
cnf(c_0_1824_1,axiom,
( ~ is_fun959573582l_bool(X1)
| is_bool(hAPP_f1636546729l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1824]) ).
cnf(c_0_1825_0,axiom,
( is_bool(hAPP_f919661787l_bool(X1,X2))
| ~ is_fun917378774i_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1825]) ).
cnf(c_0_1825_1,axiom,
( ~ is_fun917378774i_bool(X2)
| is_bool(hAPP_f919661787l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1825]) ).
cnf(c_0_1826_0,axiom,
( is_Arr625519182e_indi(hAPP_n385347014e_indi(X1,X2))
| ~ is_fun1016509681e_indi(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1826]) ).
cnf(c_0_1826_1,axiom,
( ~ is_fun1016509681e_indi(X1)
| is_Arr625519182e_indi(hAPP_n385347014e_indi(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1826]) ).
cnf(c_0_1827_0,axiom,
( is_fun282293932t_bool(hAPP_b1024867081t_bool(X1,X2))
| ~ is_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1827]) ).
cnf(c_0_1827_1,axiom,
( ~ is_bool(X2)
| is_fun282293932t_bool(hAPP_b1024867081t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1827]) ).
cnf(c_0_1828_0,axiom,
( is_fun432044380l_bool(hAPP_b1965422783l_bool(X1,X2))
| ~ is_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1828]) ).
cnf(c_0_1828_1,axiom,
( ~ is_bool(X2)
| is_fun432044380l_bool(hAPP_b1965422783l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1828]) ).
cnf(c_0_1829_0,axiom,
( is_fun631676118l_bool(hAPP_b990649139l_bool(X1,X2))
| ~ is_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1829]) ).
cnf(c_0_1829_1,axiom,
( ~ is_bool(X2)
| is_fun631676118l_bool(hAPP_b990649139l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1829]) ).
cnf(c_0_1830_0,axiom,
( is_fun959573582l_bool(hAPP_b1719629739l_bool(X1,X2))
| ~ is_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1830]) ).
cnf(c_0_1830_1,axiom,
( ~ is_bool(X2)
| is_fun959573582l_bool(hAPP_b1719629739l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1830]) ).
cnf(c_0_1831_0,axiom,
( is_fun917378774i_bool(hAPP_b1018211123i_bool(X1,X2))
| ~ is_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1831]) ).
cnf(c_0_1831_1,axiom,
( ~ is_bool(X2)
| is_fun917378774i_bool(hAPP_b1018211123i_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1831]) ).
cnf(c_0_1832_0,axiom,
( is_bool(hAPP_bool_bool(X1,X2))
| ~ is_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1832]) ).
cnf(c_0_1832_1,axiom,
( ~ is_bool(X2)
| is_bool(hAPP_bool_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1832]) ).
cnf(c_0_1833_0,axiom,
( is_fun282293932t_bool(hAPP_A1374816149t_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1833]) ).
cnf(c_0_1833_1,axiom,
( ~ is_Arr625519182e_indi(X2)
| is_fun282293932t_bool(hAPP_A1374816149t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1833]) ).
cnf(c_0_1834_0,axiom,
( is_fun432044380l_bool(hAPP_A1944296755l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1834]) ).
cnf(c_0_1834_1,axiom,
( ~ is_Arr625519182e_indi(X2)
| is_fun432044380l_bool(hAPP_A1944296755l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1834]) ).
cnf(c_0_1835_0,axiom,
( is_fun631676118l_bool(hAPP_A1964572607l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1835]) ).
cnf(c_0_1835_1,axiom,
( ~ is_Arr625519182e_indi(X2)
| is_fun631676118l_bool(hAPP_A1964572607l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1835]) ).
cnf(c_0_1836_0,axiom,
( is_fun959573582l_bool(hAPP_A1912483895l_bool(X1,X2))
| ~ is_Arr625519182e_indi(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1836]) ).
cnf(c_0_1836_1,axiom,
( ~ is_Arr625519182e_indi(X2)
| is_fun959573582l_bool(hAPP_A1912483895l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1836]) ).
cnf(c_0_1837_0,axiom,
( is_fun282293932t_bool(hAPP_A619995676t_bool(X1,X2))
| ~ is_Arr553848933le_alt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1837]) ).
cnf(c_0_1837_1,axiom,
( ~ is_Arr553848933le_alt(X2)
| is_fun282293932t_bool(hAPP_A619995676t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1837]) ).
cnf(c_0_1838_0,axiom,
( is_fun1016509681e_indi(hilber1792103167di_nat(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1838]) ).
cnf(c_0_1838_1,axiom,
( ~ is_fun917378774i_bool(X1)
| is_fun1016509681e_indi(hilber1792103167di_nat(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1838]) ).
cnf(c_0_1839_0,axiom,
( is_fun432044380l_bool(pi_Pro2135156861t_bool(X1,X2))
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1839]) ).
cnf(c_0_1839_1,axiom,
( ~ is_fun282293932t_bool(X1)
| is_fun432044380l_bool(pi_Pro2135156861t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1839]) ).
cnf(c_0_1840_0,axiom,
( is_fun631676118l_bool(pi_fun433100839t_bool(X1,X2))
| ~ is_fun959573582l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1840]) ).
cnf(c_0_1840_1,axiom,
( ~ is_fun959573582l_bool(X1)
| is_fun631676118l_bool(pi_fun433100839t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1840]) ).
cnf(c_0_1841_0,axiom,
( is_fun959573582l_bool(pi_Arr688267935t_bool(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1841_1,axiom,
( ~ is_fun917378774i_bool(X1)
| is_fun959573582l_bool(pi_Arr688267935t_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1842_0,axiom,
( is_bool(inj_on24934938di_nat(X1,X2))
| ~ is_fun917378774i_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1842_1,axiom,
( ~ is_fun917378774i_bool(X2)
| is_bool(inj_on24934938di_nat(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1850_0,axiom,
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1850]) ).
cnf(c_0_1850_1,axiom,
( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1850]) ).
cnf(c_0_1851_0,axiom,
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1851_1,axiom,
( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1852_0,axiom,
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1852_1,axiom,
( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1853_0,axiom,
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1853_1,axiom,
( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1854_0,axiom,
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(literals_permutation,[status(thm)],[c_0_1854]) ).
cnf(c_0_1854_1,axiom,
( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1854]) ).
cnf(c_0_1892_0,axiom,
( is_fun282293932t_bool(collec1711870802le_alt(X1))
| ~ is_fun282293932t_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1892]) ).
cnf(c_0_1892_1,axiom,
( ~ is_fun282293932t_bool(X1)
| is_fun282293932t_bool(collec1711870802le_alt(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1892]) ).
cnf(c_0_1893_0,axiom,
( is_fun432044380l_bool(collec874260222t_bool(X1))
| ~ is_fun432044380l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1893]) ).
cnf(c_0_1893_1,axiom,
( ~ is_fun432044380l_bool(X1)
| is_fun432044380l_bool(collec874260222t_bool(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1893]) ).
cnf(c_0_1894_0,axiom,
( is_fun631676118l_bool(collec1520786044t_bool(X1))
| ~ is_fun631676118l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1894]) ).
cnf(c_0_1894_1,axiom,
( ~ is_fun631676118l_bool(X1)
| is_fun631676118l_bool(collec1520786044t_bool(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1894]) ).
cnf(c_0_1895_0,axiom,
( is_fun959573582l_bool(collec1580242420t_bool(X1))
| ~ is_fun959573582l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1895]) ).
cnf(c_0_1895_1,axiom,
( ~ is_fun959573582l_bool(X1)
| is_fun959573582l_bool(collec1580242420t_bool(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1895]) ).
cnf(c_0_1896_0,axiom,
( is_fun917378774i_bool(collec45183100e_indi(X1))
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1896]) ).
cnf(c_0_1896_1,axiom,
( ~ is_fun917378774i_bool(X1)
| is_fun917378774i_bool(collec45183100e_indi(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1896]) ).
cnf(c_0_1897_0,axiom,
( collec45183100e_indi(X1) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1897]) ).
cnf(c_0_1897_1,axiom,
( ~ is_fun917378774i_bool(X1)
| collec45183100e_indi(X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1897]) ).
cnf(c_0_1898_0,axiom,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1898_1,axiom,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1898_2,axiom,
( ~ is_bool(X1)
| X1 = fTrue
| X1 = fFalse ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1899_0,axiom,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1899]) ).
cnf(c_0_1899_1,axiom,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1899]) ).
cnf(c_0_1899_2,axiom,
( ~ is_bool(X1)
| X1 = fTrue
| X1 = fFalse ),
inference(literals_permutation,[status(thm)],[c_0_1899]) ).
cnf(c_0_1670_0,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
inference(literals_permutation,[status(thm)],[c_0_1670]) ).
cnf(c_0_1671_0,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
inference(literals_permutation,[status(thm)],[c_0_1671]) ).
cnf(c_0_1701_0,axiom,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_1701]) ).
cnf(c_0_1702_0,axiom,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_1702]) ).
cnf(c_0_1708_0,axiom,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_1708]) ).
cnf(c_0_1709_0,axiom,
~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_1709]) ).
cnf(c_0_1710_0,axiom,
~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_1710]) ).
cnf(c_0_1711_0,axiom,
~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_1711]) ).
cnf(c_0_1712_0,axiom,
~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_1712]) ).
cnf(c_0_1713_0,axiom,
~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_1713]) ).
cnf(c_0_1920_0,axiom,
b != a,
inference(literals_permutation,[status(thm)],[c_0_1920]) ).
cnf(c_0_1921_0,axiom,
d != c,
inference(literals_permutation,[status(thm)],[c_0_1921]) ).
cnf(c_0_1457_0,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)))))),
inference(literals_permutation,[status(thm)],[c_0_1457]) ).
cnf(c_0_1458_0,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)))))),
inference(literals_permutation,[status(thm)],[c_0_1458]) ).
cnf(c_0_1459_0,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)))))),
inference(literals_permutation,[status(thm)],[c_0_1459]) ).
cnf(c_0_1460_0,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)),
inference(literals_permutation,[status(thm)],[c_0_1460]) ).
cnf(c_0_1478_0,axiom,
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),X1)),lab),lba)),arrow_413697182e_Prof)),
inference(literals_permutation,[status(thm)],[c_0_1478]) ).
cnf(c_0_1581_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)))),
inference(literals_permutation,[status(thm)],[c_0_1581]) ).
cnf(c_0_1675_0,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
inference(literals_permutation,[status(thm)],[c_0_1675]) ).
cnf(c_0_1683_0,axiom,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
inference(literals_permutation,[status(thm)],[c_0_1683]) ).
cnf(c_0_1703_0,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
inference(literals_permutation,[status(thm)],[c_0_1703]) ).
cnf(c_0_1704_0,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
inference(literals_permutation,[status(thm)],[c_0_1704]) ).
cnf(c_0_1714_0,axiom,
hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1,X3),hAPP_A1374816149t_bool(X2,X3)) = hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X1,X2),X3),
inference(literals_permutation,[status(thm)],[c_0_1714]) ).
cnf(c_0_1715_0,axiom,
hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1,X3),hAPP_A1374816149t_bool(X2,X3)) = hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X1,X2),X3),
inference(literals_permutation,[status(thm)],[c_0_1715]) ).
cnf(c_0_1743_0,axiom,
hAPP_A869356733t_bool(cOMBB_963584201e_indi(X1,X2),X3) = hAPP_b1915039793t_bool(X1,hAPP_A1466488369i_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_1743]) ).
cnf(c_0_1744_0,axiom,
hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X1,X2),X3) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_1744]) ).
cnf(c_0_1745_0,axiom,
hAPP_A460042315t_bool(cOMBB_69933763e_indi(X1,X2),X3) = hAPP_f1336478923t_bool(X1,hAPP_A1374816149t_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_1745]) ).
cnf(c_0_1746_0,axiom,
hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X1,X2),X3) = hAPP_f1290184496t_bool(X1,hAPP_A1374816149t_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_1746]) ).
cnf(c_0_1747_0,axiom,
hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1,X3),X2) = hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X1,X2),X3),
inference(literals_permutation,[status(thm)],[c_0_1747]) ).
cnf(c_0_1748_0,axiom,
hAPP_A702630576t_bool(cOMBC_493523632t_bool(X1,X2),X3) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_1748]) ).
cnf(c_0_1749_0,axiom,
hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X1,X2),X3) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_1749]) ).
cnf(c_0_1750_0,axiom,
hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X1,X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_A588601142di_nat(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_1750]) ).
cnf(c_0_1751_0,axiom,
hAPP_nat_bool(hAPP_A1922697556t_bool(X1,X3),X2) = hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X1,X2),X3),
inference(literals_permutation,[status(thm)],[c_0_1751]) ).
cnf(c_0_1753_0,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
inference(literals_permutation,[status(thm)],[c_0_1753]) ).
cnf(c_0_1793_0,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),top_to2005687013l_bool)),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1794_0,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),top_to40512653l_bool)),
inference(literals_permutation,[status(thm)],[c_0_1794]) ).
cnf(c_0_1795_0,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),top_to1194196741l_bool)),
inference(literals_permutation,[status(thm)],[c_0_1795]) ).
cnf(c_0_1796_0,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),top_to2034604131t_bool)),
inference(literals_permutation,[status(thm)],[c_0_1796]) ).
cnf(c_0_1797_0,axiom,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),top_to1256827021i_bool)),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1798_0,axiom,
hBOOL(hAPP_f387058535l_bool(member_bool(X1),top_to1647826457l_bool)),
inference(literals_permutation,[status(thm)],[c_0_1798]) ).
cnf(c_0_1799_0,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),top_to2005687013l_bool)),
inference(literals_permutation,[status(thm)],[c_0_1799]) ).
cnf(c_0_1800_0,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),top_to40512653l_bool)),
inference(literals_permutation,[status(thm)],[c_0_1800]) ).
cnf(c_0_1801_0,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),top_to1194196741l_bool)),
inference(literals_permutation,[status(thm)],[c_0_1801]) ).
cnf(c_0_1802_0,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),top_to2034604131t_bool)),
inference(literals_permutation,[status(thm)],[c_0_1802]) ).
cnf(c_0_1803_0,axiom,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),top_to1256827021i_bool)),
inference(literals_permutation,[status(thm)],[c_0_1803]) ).
cnf(c_0_1804_0,axiom,
hBOOL(hAPP_f387058535l_bool(member_bool(X1),top_to1647826457l_bool)),
inference(literals_permutation,[status(thm)],[c_0_1804]) ).
cnf(c_0_1805_0,axiom,
hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X1),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1805]) ).
cnf(c_0_1806_0,axiom,
hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X1),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1806]) ).
cnf(c_0_1807_0,axiom,
hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X1),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1807]) ).
cnf(c_0_1808_0,axiom,
hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X1),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1808]) ).
cnf(c_0_1843_0,axiom,
pi_Arr688267935t_bool(X1,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
inference(literals_permutation,[status(thm)],[c_0_1843]) ).
cnf(c_0_1844_0,axiom,
pi_fun433100839t_bool(X1,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
inference(literals_permutation,[status(thm)],[c_0_1844]) ).
cnf(c_0_1845_0,axiom,
pi_Pro2135156861t_bool(X1,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
inference(literals_permutation,[status(thm)],[c_0_1845]) ).
cnf(c_0_1846_0,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
inference(literals_permutation,[status(thm)],[c_0_1846]) ).
cnf(c_0_1847_0,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
inference(literals_permutation,[status(thm)],[c_0_1847]) ).
cnf(c_0_1848_0,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
inference(literals_permutation,[status(thm)],[c_0_1848]) ).
cnf(c_0_1849_0,axiom,
pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)) = arrow_413697182e_Prof,
inference(literals_permutation,[status(thm)],[c_0_1849]) ).
cnf(c_0_1855_0,axiom,
is_fun917378774i_bool(hAPP_P907763049i_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1855]) ).
cnf(c_0_1856_0,axiom,
is_Arr625519182e_indi(hAPP_P2024088443e_indi(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1856]) ).
cnf(c_0_1857_0,axiom,
is_bool(hAPP_f460310451l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1857]) ).
cnf(c_0_1858_0,axiom,
is_bool(hAPP_f526292585l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1858]) ).
cnf(c_0_1859_0,axiom,
is_bool(hAPP_f592909149l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1859]) ).
cnf(c_0_1860_0,axiom,
is_bool(hAPP_f1279200745l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1860]) ).
cnf(c_0_1861_0,axiom,
is_bool(hAPP_f1766869725l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1861]) ).
cnf(c_0_1862_0,axiom,
is_bool(hAPP_f500145249l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1862]) ).
cnf(c_0_1863_0,axiom,
is_bool(hAPP_f234874197l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1863]) ).
cnf(c_0_1864_0,axiom,
is_bool(hAPP_f1895985727l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1864]) ).
cnf(c_0_1865_0,axiom,
is_bool(hAPP_f1550037191l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1865]) ).
cnf(c_0_1866_0,axiom,
is_bool(hAPP_f1271180905l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1866]) ).
cnf(c_0_1867_0,axiom,
is_bool(hAPP_f1018082273l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1867]) ).
cnf(c_0_1868_0,axiom,
is_bool(hAPP_f483434675l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1868]) ).
cnf(c_0_1869_0,axiom,
is_fun917378774i_bool(hAPP_f355113919i_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1869]) ).
cnf(c_0_1870_0,axiom,
is_Arr625519182e_indi(hAPP_f618619045e_indi(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1870]) ).
cnf(c_0_1871_0,axiom,
is_bool(hAPP_f1012384989l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1871]) ).
cnf(c_0_1872_0,axiom,
is_bool(hAPP_f204273237l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1872]) ).
cnf(c_0_1873_0,axiom,
is_bool(hAPP_f387058535l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1873]) ).
cnf(c_0_1874_0,axiom,
is_fun432044380l_bool(hAPP_f861484971l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1874]) ).
cnf(c_0_1875_0,axiom,
is_fun917378774i_bool(hAPP_f749892423i_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1875]) ).
cnf(c_0_1876_0,axiom,
is_Arr625519182e_indi(hAPP_f1818473245e_indi(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1876]) ).
cnf(c_0_1877_0,axiom,
is_bool(hAPP_nat_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1877]) ).
cnf(c_0_1878_0,axiom,
is_fun917378774i_bool(cOMBC_277798809t_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_1878]) ).
cnf(c_0_1879_0,axiom,
hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)),
inference(literals_permutation,[status(thm)],[c_0_1879]) ).
cnf(c_0_1880_0,axiom,
hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)),
inference(literals_permutation,[status(thm)],[c_0_1880]) ).
cnf(c_0_1881_0,axiom,
hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)),
inference(literals_permutation,[status(thm)],[c_0_1881]) ).
cnf(c_0_1882_0,axiom,
hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)),
inference(literals_permutation,[status(thm)],[c_0_1882]) ).
cnf(c_0_1883_0,axiom,
hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)),
inference(literals_permutation,[status(thm)],[c_0_1883]) ).
cnf(c_0_1884_0,axiom,
collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)) = top_to1256827021i_bool,
inference(literals_permutation,[status(thm)],[c_0_1884]) ).
cnf(c_0_1885_0,axiom,
collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)) = top_to2034604131t_bool,
inference(literals_permutation,[status(thm)],[c_0_1885]) ).
cnf(c_0_1886_0,axiom,
collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)) = top_to40512653l_bool,
inference(literals_permutation,[status(thm)],[c_0_1886]) ).
cnf(c_0_1887_0,axiom,
collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)) = top_to1194196741l_bool,
inference(literals_permutation,[status(thm)],[c_0_1887]) ).
cnf(c_0_1888_0,axiom,
collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)) = top_to2005687013l_bool,
inference(literals_permutation,[status(thm)],[c_0_1888]) ).
cnf(c_0_1889_0,axiom,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
inference(literals_permutation,[status(thm)],[c_0_1889]) ).
cnf(c_0_1890_0,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
inference(literals_permutation,[status(thm)],[c_0_1890]) ).
cnf(c_0_1891_0,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
inference(literals_permutation,[status(thm)],[c_0_1891]) ).
cnf(c_0_1900_0,axiom,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
inference(literals_permutation,[status(thm)],[c_0_1900]) ).
cnf(c_0_1901_0,axiom,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
inference(literals_permutation,[status(thm)],[c_0_1901]) ).
cnf(c_0_1902_0,axiom,
hBOOL(fTrue),
inference(literals_permutation,[status(thm)],[c_0_1902]) ).
cnf(c_0_1903_0,axiom,
is_Arr553848933le_alt(e),
inference(literals_permutation,[status(thm)],[c_0_1903]) ).
cnf(c_0_1904_0,axiom,
is_Arr553848933le_alt(b),
inference(literals_permutation,[status(thm)],[c_0_1904]) ).
cnf(c_0_1905_0,axiom,
is_Arr553848933le_alt(a),
inference(literals_permutation,[status(thm)],[c_0_1905]) ).
cnf(c_0_1906_0,axiom,
is_fun282293932t_bool(lba),
inference(literals_permutation,[status(thm)],[c_0_1906]) ).
cnf(c_0_1907_0,axiom,
is_fun282293932t_bool(lab),
inference(literals_permutation,[status(thm)],[c_0_1907]) ).
cnf(c_0_1908_0,axiom,
is_bool(fTrue),
inference(literals_permutation,[status(thm)],[c_0_1908]) ).
cnf(c_0_1909_0,axiom,
is_bool(fFalse),
inference(literals_permutation,[status(thm)],[c_0_1909]) ).
cnf(c_0_1910_0,axiom,
is_fun282293932t_bool(top_to2034604131t_bool),
inference(literals_permutation,[status(thm)],[c_0_1910]) ).
cnf(c_0_1911_0,axiom,
is_fun432044380l_bool(top_to2005687013l_bool),
inference(literals_permutation,[status(thm)],[c_0_1911]) ).
cnf(c_0_1912_0,axiom,
is_fun631676118l_bool(top_to40512653l_bool),
inference(literals_permutation,[status(thm)],[c_0_1912]) ).
cnf(c_0_1913_0,axiom,
is_fun959573582l_bool(top_to1194196741l_bool),
inference(literals_permutation,[status(thm)],[c_0_1913]) ).
cnf(c_0_1914_0,axiom,
is_fun917378774i_bool(top_to1256827021i_bool),
inference(literals_permutation,[status(thm)],[c_0_1914]) ).
cnf(c_0_1915_0,axiom,
is_bool(top_top_bool),
inference(literals_permutation,[status(thm)],[c_0_1915]) ).
cnf(c_0_1916_0,axiom,
is_fun631676118l_bool(arrow_467566751nimity),
inference(literals_permutation,[status(thm)],[c_0_1916]) ).
cnf(c_0_1917_0,axiom,
is_fun959573582l_bool(arrow_413697182e_Prof),
inference(literals_permutation,[status(thm)],[c_0_1917]) ).
cnf(c_0_1918_0,axiom,
is_fun432044380l_bool(arrow_1239002508le_Lin),
inference(literals_permutation,[status(thm)],[c_0_1918]) ).
cnf(c_0_1919_0,axiom,
is_fun631676118l_bool(arrow_1212118780le_IIA),
inference(literals_permutation,[status(thm)],[c_0_1919]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
file('<stdin>',conj_0) ).
fof(c_0_1_002,hypothesis,
! [X1,X2] :
( ( is_fun432044380l_bool(X1)
& is_fun282293932t_bool(X2) )
=> is_bool(hAPP_f745298353l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020) ).
fof(c_0_2_003,hypothesis,
! [X1,X2] : is_fun282293932t_bool(hAPP_f695124765t_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008) ).
fof(c_0_3_004,hypothesis,
! [X1] : is_fun432044380l_bool(member1056080916le_alt(X1)),
file('<stdin>',gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt) ).
fof(c_0_4_005,hypothesis,
is_Arr553848933le_alt(d),
file('<stdin>',gsy_v_d____) ).
fof(c_0_5_006,hypothesis,
is_Arr553848933le_alt(c),
file('<stdin>',gsy_v_c____) ).
fof(c_0_6_007,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_7_008,hypothesis,
! [X1,X2] :
( ( is_fun432044380l_bool(X1)
& is_fun282293932t_bool(X2) )
=> is_bool(hAPP_f745298353l_bool(X1,X2)) ),
c_0_1 ).
fof(c_0_8_009,hypothesis,
! [X1,X2] : is_fun282293932t_bool(hAPP_f695124765t_bool(X1,X2)),
c_0_2 ).
fof(c_0_9_010,hypothesis,
! [X1] : is_fun432044380l_bool(member1056080916le_alt(X1)),
c_0_3 ).
fof(c_0_10_011,hypothesis,
is_Arr553848933le_alt(d),
c_0_4 ).
fof(c_0_11_012,hypothesis,
is_Arr553848933le_alt(c),
c_0_5 ).
fof(c_0_12_013,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
c_0_6 ).
fof(c_0_13_014,hypothesis,
! [X3,X4] :
( ~ is_fun432044380l_bool(X3)
| ~ is_fun282293932t_bool(X4)
| is_bool(hAPP_f745298353l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_14_015,hypothesis,
! [X3,X4] : is_fun282293932t_bool(hAPP_f695124765t_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_15_016,hypothesis,
! [X2] : is_fun432044380l_bool(member1056080916le_alt(X2)),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_16_017,hypothesis,
is_Arr553848933le_alt(d),
c_0_10 ).
fof(c_0_17_018,hypothesis,
is_Arr553848933le_alt(c),
c_0_11 ).
cnf(c_0_18_019,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19_020,hypothesis,
( is_bool(hAPP_f745298353l_bool(X1,X2))
| ~ is_fun282293932t_bool(X2)
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20_021,hypothesis,
is_fun282293932t_bool(hAPP_f695124765t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21_022,hypothesis,
is_fun432044380l_bool(member1056080916le_alt(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22_023,hypothesis,
is_Arr553848933le_alt(d),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23_024,hypothesis,
is_Arr553848933le_alt(c),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24_025,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
c_0_18,
[final] ).
cnf(c_0_25_026,hypothesis,
( is_bool(hAPP_f745298353l_bool(X1,X2))
| ~ is_fun282293932t_bool(X2)
| ~ is_fun432044380l_bool(X1) ),
c_0_19,
[final] ).
cnf(c_0_26_027,hypothesis,
is_fun282293932t_bool(hAPP_f695124765t_bool(X1,X2)),
c_0_20,
[final] ).
cnf(c_0_27_028,hypothesis,
is_fun432044380l_bool(member1056080916le_alt(X1)),
c_0_21,
[final] ).
cnf(c_0_28_029,hypothesis,
is_Arr553848933le_alt(d),
c_0_22,
[final] ).
cnf(c_0_29_030,hypothesis,
is_Arr553848933le_alt(c),
c_0_23,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_99,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)))))),
file('/export/starexec/sandbox/tmp/iprover_modulo_e7c4df.p',c_0_1459_0) ).
cnf(c_1527,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))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e7c4df.p',c_0_1450_0) ).
cnf(c_1705,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
file('/export/starexec/sandbox/tmp/iprover_modulo_e7c4df.p',c_0_24) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_99,c_1527,c_1705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT171+1 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 21:48:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.20/0.49 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.49 % FOF problem with conjecture
% 0.20/0.50 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e40d48.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e7c4df.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0e4063 | grep -v "SZS"
% 0.20/0.52
% 0.20/0.52 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.52
% 0.20/0.52 %
% 0.20/0.52 % ------ iProver source info
% 0.20/0.52
% 0.20/0.52 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.52 % git: non_committed_changes: true
% 0.20/0.52 % git: last_make_outside_of_git: true
% 0.20/0.52
% 0.20/0.52 %
% 0.20/0.52 % ------ Input Options
% 0.20/0.52
% 0.20/0.52 % --out_options all
% 0.20/0.52 % --tptp_safe_out true
% 0.20/0.52 % --problem_path ""
% 0.20/0.52 % --include_path ""
% 0.20/0.52 % --clausifier .//eprover
% 0.20/0.52 % --clausifier_options --tstp-format
% 0.20/0.52 % --stdin false
% 0.20/0.52 % --dbg_backtrace false
% 0.20/0.52 % --dbg_dump_prop_clauses false
% 0.20/0.52 % --dbg_dump_prop_clauses_file -
% 0.20/0.52 % --dbg_out_stat false
% 0.20/0.52
% 0.20/0.52 % ------ General Options
% 0.20/0.52
% 0.20/0.52 % --fof false
% 0.20/0.52 % --time_out_real 150.
% 0.20/0.52 % --time_out_prep_mult 0.2
% 0.20/0.52 % --time_out_virtual -1.
% 0.20/0.52 % --schedule none
% 0.20/0.52 % --ground_splitting input
% 0.20/0.52 % --splitting_nvd 16
% 0.20/0.52 % --non_eq_to_eq false
% 0.20/0.52 % --prep_gs_sim true
% 0.20/0.52 % --prep_unflatten false
% 0.20/0.52 % --prep_res_sim true
% 0.20/0.52 % --prep_upred true
% 0.20/0.52 % --res_sim_input true
% 0.20/0.52 % --clause_weak_htbl true
% 0.20/0.52 % --gc_record_bc_elim false
% 0.20/0.52 % --symbol_type_check false
% 0.20/0.52 % --clausify_out false
% 0.20/0.52 % --large_theory_mode false
% 0.20/0.52 % --prep_sem_filter none
% 0.20/0.52 % --prep_sem_filter_out false
% 0.20/0.52 % --preprocessed_out false
% 0.20/0.52 % --sub_typing false
% 0.20/0.52 % --brand_transform false
% 0.20/0.52 % --pure_diseq_elim true
% 0.20/0.52 % --min_unsat_core false
% 0.20/0.52 % --pred_elim true
% 0.20/0.52 % --add_important_lit false
% 0.20/0.52 % --soft_assumptions false
% 0.20/0.52 % --reset_solvers false
% 0.20/0.52 % --bc_imp_inh []
% 0.20/0.52 % --conj_cone_tolerance 1.5
% 0.20/0.52 % --prolific_symb_bound 500
% 0.20/0.52 % --lt_threshold 2000
% 0.20/0.52
% 0.20/0.52 % ------ SAT Options
% 0.20/0.52
% 0.20/0.52 % --sat_mode false
% 0.20/0.52 % --sat_fm_restart_options ""
% 0.20/0.52 % --sat_gr_def false
% 0.20/0.52 % --sat_epr_types true
% 0.20/0.52 % --sat_non_cyclic_types false
% 0.20/0.52 % --sat_finite_models false
% 0.20/0.52 % --sat_fm_lemmas false
% 0.20/0.52 % --sat_fm_prep false
% 0.20/0.52 % --sat_fm_uc_incr true
% 0.20/0.52 % --sat_out_model small
% 0.20/0.52 % --sat_out_clauses false
% 0.20/0.52
% 0.20/0.52 % ------ QBF Options
% 0.20/0.52
% 0.20/0.52 % --qbf_mode false
% 0.20/0.52 % --qbf_elim_univ true
% 0.20/0.52 % --qbf_sk_in true
% 0.20/0.52 % --qbf_pred_elim true
% 0.20/0.52 % --qbf_split 32
% 0.20/0.52
% 0.20/0.52 % ------ BMC1 Options
% 0.20/0.52
% 0.20/0.52 % --bmc1_incremental false
% 0.20/0.52 % --bmc1_axioms reachable_all
% 0.20/0.52 % --bmc1_min_bound 0
% 0.20/0.52 % --bmc1_max_bound -1
% 0.20/0.52 % --bmc1_max_bound_default -1
% 0.20/0.52 % --bmc1_symbol_reachability true
% 0.20/0.52 % --bmc1_property_lemmas false
% 0.20/0.52 % --bmc1_k_induction false
% 0.20/0.52 % --bmc1_non_equiv_states false
% 0.20/0.52 % --bmc1_deadlock false
% 0.20/0.52 % --bmc1_ucm false
% 0.20/0.52 % --bmc1_add_unsat_core none
% 0.20/0.52 % --bmc1_unsat_core_children false
% 0.20/0.52 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.52 % --bmc1_out_stat full
% 0.20/0.52 % --bmc1_ground_init false
% 0.20/0.52 % --bmc1_pre_inst_next_state false
% 0.20/0.52 % --bmc1_pre_inst_state false
% 0.20/0.52 % --bmc1_pre_inst_reach_state false
% 0.20/0.52 % --bmc1_out_unsat_core false
% 0.20/0.52 % --bmc1_aig_witness_out false
% 0.20/0.52 % --bmc1_verbose false
% 0.20/0.52 % --bmc1_dump_clauses_tptp false
% 0.47/0.64 % --bmc1_dump_unsat_core_tptp false
% 0.47/0.64 % --bmc1_dump_file -
% 0.47/0.64 % --bmc1_ucm_expand_uc_limit 128
% 0.47/0.64 % --bmc1_ucm_n_expand_iterations 6
% 0.47/0.64 % --bmc1_ucm_extend_mode 1
% 0.47/0.64 % --bmc1_ucm_init_mode 2
% 0.47/0.64 % --bmc1_ucm_cone_mode none
% 0.47/0.64 % --bmc1_ucm_reduced_relation_type 0
% 0.47/0.64 % --bmc1_ucm_relax_model 4
% 0.47/0.64 % --bmc1_ucm_full_tr_after_sat true
% 0.47/0.64 % --bmc1_ucm_expand_neg_assumptions false
% 0.47/0.64 % --bmc1_ucm_layered_model none
% 0.47/0.64 % --bmc1_ucm_max_lemma_size 10
% 0.47/0.64
% 0.47/0.64 % ------ AIG Options
% 0.47/0.64
% 0.47/0.64 % --aig_mode false
% 0.47/0.64
% 0.47/0.64 % ------ Instantiation Options
% 0.47/0.64
% 0.47/0.64 % --instantiation_flag true
% 0.47/0.64 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.47/0.64 % --inst_solver_per_active 750
% 0.47/0.64 % --inst_solver_calls_frac 0.5
% 0.47/0.64 % --inst_passive_queue_type priority_queues
% 0.47/0.64 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.47/0.64 % --inst_passive_queues_freq [25;2]
% 0.47/0.64 % --inst_dismatching true
% 0.47/0.64 % --inst_eager_unprocessed_to_passive true
% 0.47/0.64 % --inst_prop_sim_given true
% 0.47/0.64 % --inst_prop_sim_new false
% 0.47/0.64 % --inst_orphan_elimination true
% 0.47/0.64 % --inst_learning_loop_flag true
% 0.47/0.64 % --inst_learning_start 3000
% 0.47/0.64 % --inst_learning_factor 2
% 0.47/0.64 % --inst_start_prop_sim_after_learn 3
% 0.47/0.64 % --inst_sel_renew solver
% 0.47/0.64 % --inst_lit_activity_flag true
% 0.47/0.64 % --inst_out_proof true
% 0.47/0.64
% 0.47/0.64 % ------ Resolution Options
% 0.47/0.64
% 0.47/0.64 % --resolution_flag true
% 0.47/0.64 % --res_lit_sel kbo_max
% 0.47/0.64 % --res_to_prop_solver none
% 0.47/0.64 % --res_prop_simpl_new false
% 0.47/0.64 % --res_prop_simpl_given false
% 0.47/0.64 % --res_passive_queue_type priority_queues
% 0.47/0.64 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.47/0.64 % --res_passive_queues_freq [15;5]
% 0.47/0.64 % --res_forward_subs full
% 0.47/0.64 % --res_backward_subs full
% 0.47/0.64 % --res_forward_subs_resolution true
% 0.47/0.64 % --res_backward_subs_resolution true
% 0.47/0.64 % --res_orphan_elimination false
% 0.47/0.64 % --res_time_limit 1000.
% 0.47/0.64 % --res_out_proof true
% 0.47/0.64 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e40d48.s
% 0.47/0.64 % --modulo true
% 0.47/0.64
% 0.47/0.64 % ------ Combination Options
% 0.47/0.64
% 0.47/0.64 % --comb_res_mult 1000
% 0.47/0.64 % --comb_inst_mult 300
% 0.47/0.64 % ------
% 0.47/0.64
% 0.47/0.64 % ------ Parsing...%
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % ------ Statistics
% 0.47/0.64
% 0.47/0.64 % ------ General
% 0.47/0.64
% 0.47/0.64 % num_of_input_clauses: 1162
% 0.47/0.64 % num_of_input_neg_conjectures: 0
% 0.47/0.64 % num_of_splits: 0
% 0.47/0.64 % num_of_split_atoms: 0
% 0.47/0.64 % num_of_sem_filtered_clauses: 0
% 0.47/0.64 % num_of_subtypes: 0
% 0.47/0.64 % monotx_restored_types: 0
% 0.47/0.64 % sat_num_of_epr_types: 0
% 0.47/0.64 % sat_num_of_non_cyclic_types: 0
% 0.47/0.64 % sat_guarded_non_collapsed_types: 0
% 0.47/0.64 % is_epr: 0
% 0.47/0.64 % is_horn: 0
% 0.47/0.64 % has_eq: 0
% 0.47/0.64 % num_pure_diseq_elim: 0
% 0.47/0.64 % simp_replaced_by: 0
% 0.47/0.64 % res_preprocessed: 0
% 0.47/0.64 % prep_upred: 0
% 0.47/0.64 % prep_unflattend: 0
% 0.47/0.64 % pred_elim_cands: 0
% 0.47/0.64 % pred_elim: 0
% 0.47/0.64 % pred_elim_cl: 0
% 0.47/0.64 % pred_elim_cycles: 0
% 0.47/0.64 % forced_gc_time: 0
% 0.47/0.64 % gc_basic_clause_elim: 0
% 0.47/0.64 % parsing_time: 0.
% 0.47/0.64 % sem_filter_time: 0.
% 0.47/0.64 % pred_elim_time: 0.
% 0.47/0.64 % out_proof_time: 0.
% 0.47/0.64 % monotx_time: 0.
% 0.47/0.64 % subtype_inf_time: 0.
% 0.47/0.64 % unif_index_cands_time: 0.
% 0.47/0.64 % Fatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_e7c4df.p line: 1165 near token: '!='")
% 0.47/0.64 unif_index_add_time: 0.
% 0.47/0.64 % total_time: 0.14
% 0.47/0.64 % num_of_symbols: 243
% 0.47/0.64 % num_of_terms: 1829
% 0.47/0.64
% 0.47/0.64 % ------ Propositional Solver
% 0.47/0.64
% 0.47/0.64 % prop_solver_calls: 0
% 0.47/0.64 % prop_fast_solver_calls: 0
% 0.47/0.64 % prop_num_of_clauses: 0
% 0.47/0.64 % prop_preprocess_simplified: 0
% 0.47/0.64 % prop_fo_subsumed: 0
% 0.47/0.64 % prop_solver_time: 0.
% 0.47/0.64 % prop_fast_solver_time: 0.
% 0.47/0.64 % prop_unsat_core_time: 0.
% 0.47/0.64
% 0.47/0.64 % ------ QBF
% 0.47/0.64
% 0.47/0.64 % qbf_q_res: 0
% 0.47/0.64 % qbf_num_tautologies: 0
% 0.47/0.64 % qbf_prep_cycles: 0
% 0.47/0.64
% 0.47/0.64 % ------ BMC1
% 0.47/0.64
% 0.47/0.64 % bmc1_current_bound: -1
% 0.47/0.64 % bmc1_last_solved_bound: -1
% 0.47/0.64 % bmc1_unsat_core_size: -1
% 0.47/0.64 % bmc1_unsat_core_parents_size: -1
% 0.47/0.64 % bmc1_merge_next_fun: 0
% 0.47/0.64 % bmc1_unsat_core_clauses_time: 0.
% 0.47/0.64
% 0.47/0.64 % ------ Instantiation
% 0.47/0.64
% 0.47/0.64 % inst_num_of_clauses: undef
% 0.47/0.64 % inst_num_in_passive: undef
% 0.47/0.64 % inst_num_in_active: 0
% 0.47/0.64 % inst_num_in_unprocessed: 0
% 0.47/0.64 % inst_num_of_loops: 0
% 0.47/0.64 % inst_num_of_learning_restarts: 0
% 0.47/0.64 % inst_num_moves_active_passive: 0
% 0.47/0.64 % inst_lit_activity: 0
% 0.47/0.64 % inst_lit_activity_moves: 0
% 0.47/0.64 % inst_num_tautologies: 0
% 0.47/0.64 % inst_num_prop_implied: 0
% 0.47/0.64 % inst_num_existing_simplified: 0
% 0.47/0.64 % inst_num_eq_res_simplified: 0
% 0.47/0.64 % inst_num_child_elim: 0
% 0.47/0.64 % inst_num_of_dismatching_blockings: 0
% 0.47/0.64 % inst_num_of_non_proper_insts: 0
% 0.47/0.64 % inst_num_of_duplicates: 0
% 0.47/0.64 % inst_inst_num_from_inst_to_res: 0
% 0.47/0.64 % inst_dismatching_checking_time: 0.
% 0.47/0.64
% 0.47/0.64 % ------ Resolution
% 0.47/0.64
% 0.47/0.64 % res_num_of_clauses: undef
% 0.47/0.64 % res_num_in_passive: undef
% 0.47/0.64 % res_num_in_active: 0
% 0.47/0.64 % res_num_of_loops: 0
% 0.47/0.64 % res_forward_subset_subsumed: 0
% 0.47/0.64 % res_backward_subset_subsumed: 0
% 0.47/0.64 % res_forward_subsumed: 0
% 0.47/0.64 % res_backward_subsumed: 0
% 0.47/0.64 % res_forward_subsumption_resolution: 0
% 0.47/0.64 % res_backward_subsumption_resolution: 0
% 0.47/0.64 % res_clause_to_clause_subsumption: 0
% 0.47/0.64 % res_orphan_elimination: 0
% 0.47/0.64 % res_tautology_del: 0
% 0.47/0.64 % res_num_eq_res_simplified: 0
% 0.47/0.64 % res_num_sel_changes: 0
% 0.47/0.64 % res_moves_from_active_to_pass: 0
% 0.47/0.64
% 0.47/0.64 % Status Unknown
% 0.50/0.78 % Orienting using strategy ClausalAll
% 0.50/0.78 % FOF problem with conjecture
% 0.50/0.78 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e40d48.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e7c4df.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_700a65 | grep -v "SZS"
% 0.50/0.80
% 0.50/0.80 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.50/0.80
% 0.50/0.80 %
% 0.50/0.80 % ------ iProver source info
% 0.50/0.80
% 0.50/0.80 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.50/0.80 % git: non_committed_changes: true
% 0.50/0.80 % git: last_make_outside_of_git: true
% 0.50/0.80
% 0.50/0.80 %
% 0.50/0.80 % ------ Input Options
% 0.50/0.80
% 0.50/0.80 % --out_options all
% 0.50/0.80 % --tptp_safe_out true
% 0.50/0.80 % --problem_path ""
% 0.50/0.80 % --include_path ""
% 0.50/0.80 % --clausifier .//eprover
% 0.50/0.80 % --clausifier_options --tstp-format
% 0.50/0.80 % --stdin false
% 0.50/0.80 % --dbg_backtrace false
% 0.50/0.80 % --dbg_dump_prop_clauses false
% 0.50/0.80 % --dbg_dump_prop_clauses_file -
% 0.50/0.80 % --dbg_out_stat false
% 0.50/0.80
% 0.50/0.80 % ------ General Options
% 0.50/0.80
% 0.50/0.80 % --fof false
% 0.50/0.80 % --time_out_real 150.
% 0.50/0.80 % --time_out_prep_mult 0.2
% 0.50/0.80 % --time_out_virtual -1.
% 0.50/0.80 % --schedule none
% 0.50/0.80 % --ground_splitting input
% 0.50/0.80 % --splitting_nvd 16
% 0.50/0.80 % --non_eq_to_eq false
% 0.50/0.80 % --prep_gs_sim true
% 0.50/0.80 % --prep_unflatten false
% 0.50/0.80 % --prep_res_sim true
% 0.50/0.80 % --prep_upred true
% 0.50/0.80 % --res_sim_input true
% 0.50/0.80 % --clause_weak_htbl true
% 0.50/0.80 % --gc_record_bc_elim false
% 0.50/0.80 % --symbol_type_check false
% 0.50/0.80 % --clausify_out false
% 0.50/0.80 % --large_theory_mode false
% 0.50/0.80 % --prep_sem_filter none
% 0.50/0.80 % --prep_sem_filter_out false
% 0.50/0.80 % --preprocessed_out false
% 0.50/0.80 % --sub_typing false
% 0.50/0.80 % --brand_transform false
% 0.50/0.80 % --pure_diseq_elim true
% 0.50/0.80 % --min_unsat_core false
% 0.50/0.80 % --pred_elim true
% 0.50/0.80 % --add_important_lit false
% 0.50/0.80 % --soft_assumptions false
% 0.50/0.80 % --reset_solvers false
% 0.50/0.80 % --bc_imp_inh []
% 0.50/0.80 % --conj_cone_tolerance 1.5
% 0.50/0.80 % --prolific_symb_bound 500
% 0.50/0.80 % --lt_threshold 2000
% 0.50/0.80
% 0.50/0.80 % ------ SAT Options
% 0.50/0.80
% 0.50/0.80 % --sat_mode false
% 0.50/0.80 % --sat_fm_restart_options ""
% 0.50/0.80 % --sat_gr_def false
% 0.50/0.80 % --sat_epr_types true
% 0.50/0.80 % --sat_non_cyclic_types false
% 0.50/0.80 % --sat_finite_models false
% 0.50/0.80 % --sat_fm_lemmas false
% 0.50/0.80 % --sat_fm_prep false
% 0.50/0.80 % --sat_fm_uc_incr true
% 0.50/0.80 % --sat_out_model small
% 0.50/0.80 % --sat_out_clauses false
% 0.50/0.80
% 0.50/0.80 % ------ QBF Options
% 0.50/0.80
% 0.50/0.80 % --qbf_mode false
% 0.50/0.80 % --qbf_elim_univ true
% 0.50/0.80 % --qbf_sk_in true
% 0.50/0.80 % --qbf_pred_elim true
% 0.50/0.80 % --qbf_split 32
% 0.50/0.80
% 0.50/0.80 % ------ BMC1 Options
% 0.50/0.80
% 0.50/0.80 % --bmc1_incremental false
% 0.50/0.80 % --bmc1_axioms reachable_all
% 0.50/0.80 % --bmc1_min_bound 0
% 0.50/0.80 % --bmc1_max_bound -1
% 0.50/0.80 % --bmc1_max_bound_default -1
% 0.50/0.80 % --bmc1_symbol_reachability true
% 0.50/0.80 % --bmc1_property_lemmas false
% 0.50/0.80 % --bmc1_k_induction false
% 0.50/0.80 % --bmc1_non_equiv_states false
% 0.50/0.80 % --bmc1_deadlock false
% 0.50/0.80 % --bmc1_ucm false
% 0.50/0.80 % --bmc1_add_unsat_core none
% 0.50/0.80 % --bmc1_unsat_core_children false
% 0.50/0.80 % --bmc1_unsat_core_extrapolate_axioms false
% 0.50/0.80 % --bmc1_out_stat full
% 0.50/0.80 % --bmc1_ground_init false
% 0.50/0.80 % --bmc1_pre_inst_next_state false
% 0.50/0.80 % --bmc1_pre_inst_state false
% 0.50/0.80 % --bmc1_pre_inst_reach_state false
% 0.50/0.80 % --bmc1_out_unsat_core false
% 0.50/0.80 % --bmc1_aig_witness_out false
% 0.50/0.80 % --bmc1_verbose false
% 0.50/0.80 % --bmc1_dump_clauses_tptp false
% 0.64/0.96 % --bmc1_dump_unsat_core_tptp false
% 0.64/0.96 % --bmc1_dump_file -
% 0.64/0.96 % --bmc1_ucm_expand_uc_limit 128
% 0.64/0.96 % --bmc1_ucm_n_expand_iterations 6
% 0.64/0.96 % --bmc1_ucm_extend_mode 1
% 0.64/0.96 % --bmc1_ucm_init_mode 2
% 0.64/0.96 % --bmc1_ucm_cone_mode none
% 0.64/0.96 % --bmc1_ucm_reduced_relation_type 0
% 0.64/0.96 % --bmc1_ucm_relax_model 4
% 0.64/0.96 % --bmc1_ucm_full_tr_after_sat true
% 0.64/0.96 % --bmc1_ucm_expand_neg_assumptions false
% 0.64/0.96 % --bmc1_ucm_layered_model none
% 0.64/0.96 % --bmc1_ucm_max_lemma_size 10
% 0.64/0.96
% 0.64/0.96 % ------ AIG Options
% 0.64/0.96
% 0.64/0.96 % --aig_mode false
% 0.64/0.96
% 0.64/0.96 % ------ Instantiation Options
% 0.64/0.96
% 0.64/0.96 % --instantiation_flag true
% 0.64/0.96 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.64/0.96 % --inst_solver_per_active 750
% 0.64/0.96 % --inst_solver_calls_frac 0.5
% 0.64/0.96 % --inst_passive_queue_type priority_queues
% 0.64/0.96 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.64/0.96 % --inst_passive_queues_freq [25;2]
% 0.64/0.96 % --inst_dismatching true
% 0.64/0.96 % --inst_eager_unprocessed_to_passive true
% 0.64/0.96 % --inst_prop_sim_given true
% 0.64/0.96 % --inst_prop_sim_new false
% 0.64/0.96 % --inst_orphan_elimination true
% 0.64/0.96 % --inst_learning_loop_flag true
% 0.64/0.96 % --inst_learning_start 3000
% 0.64/0.96 % --inst_learning_factor 2
% 0.64/0.96 % --inst_start_prop_sim_after_learn 3
% 0.64/0.96 % --inst_sel_renew solver
% 0.64/0.96 % --inst_lit_activity_flag true
% 0.64/0.96 % --inst_out_proof true
% 0.64/0.96
% 0.64/0.96 % ------ Resolution Options
% 0.64/0.96
% 0.64/0.96 % --resolution_flag true
% 0.64/0.96 % --res_lit_sel kbo_max
% 0.64/0.96 % --res_to_prop_solver none
% 0.64/0.96 % --res_prop_simpl_new false
% 0.64/0.96 % --res_prop_simpl_given false
% 0.64/0.96 % --res_passive_queue_type priority_queues
% 0.64/0.96 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.64/0.96 % --res_passive_queues_freq [15;5]
% 0.64/0.96 % --res_forward_subs full
% 0.64/0.96 % --res_backward_subs full
% 0.64/0.96 % --res_forward_subs_resolution true
% 0.64/0.96 % --res_backward_subs_resolution true
% 0.64/0.96 % --res_orphan_elimination false
% 0.64/0.96 % --res_time_limit 1000.
% 0.64/0.96 % --res_out_proof true
% 0.64/0.96 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e40d48.s
% 0.64/0.96 % --modulo true
% 0.64/0.96
% 0.64/0.96 % ------ Combination Options
% 0.64/0.96
% 0.64/0.96 % --comb_res_mult 1000
% 0.64/0.96 % --comb_inst_mult 300
% 0.64/0.96 % ------
% 0.64/0.96
% 0.64/0.96 % ------ Parsing...% successful
% 0.64/0.96
% 0.64/0.96 %
% 0.64/0.96
% 0.64/0.96
% 0.64/0.96 % ------ Statistics
% 0.64/0.96
% 0.64/0.96 % ------ General
% 0.64/0.96
% 0.64/0.96 % num_of_input_clauses: 1710
% 0.64/0.96 % num_of_input_neg_conjectures: 1
% 0.64/0.96 % num_of_splits: 0
% 0.64/0.96 % num_of_split_atoms: 0
% 0.64/0.96 % num_of_sem_filtered_clauses: 0
% 0.64/0.96 % num_of_subtypes: 0
% 0.64/0.96 % monotx_restored_types: 0
% 0.64/0.96 % sat_num_of_epr_types: 0
% 0.64/0.96 % sat_num_of_non_cyclic_types: 0
% 0.64/0.96 % sat_guarded_non_collapsed_types: 0
% 0.64/0.96 % is_epr: 0
% 0.64/0.96 % is_horn: 0
% 0.64/0.96 % has_eq: 0
% 0.64/0.96 % num_pure_diseq_elim: 0
% 0.64/0.96 % simp_replaced_by: 0
% 0.64/0.96 % res_preprocessed: 0
% 0.64/0.96 % prep_upred: 0
% 0.64/0.96 % prep_unflattend: 0
% 0.64/0.96 % pred_elim_cands: 0
% 0.64/0.96 % pred_elim: 0
% 0.64/0.96 % pred_elim_cl: 0
% 0.64/0.96 % pred_elim_cycles: 0
% 0.64/0.96 % forced_gc_time: 0
% 0.64/0.96 % gc_basic_clause_elim: 0
% 0.64/0.96 % parsing_time: 0.131
% 0.64/0.96 % sem_filter_time: 0.
% 0.64/0.96 % pred_elim_time: 0.
% 0.64/0.96 % out_proof_time: 0.
% 0.64/0.96 % monotx_time: 0.
% 0.64/0.96 % subtype_inf_time: 0.
% 0.64/0.96 % unif_index_cands_time: 0.
% 0.64/0.96 % unif_index_add_time: 0.
% 0.64/0.96 % total_time: 0.171
% 0.64/0.96 % num_of_symbols: 281
% 0.64/0.96 % num_of_terms: 3355
% 0.64/0.96
% 0.64/0.96 % ------ Propositional Solver
% 0.64/0.96
% 0.64/0.96 % prop_solver_calls: 0
% 0.64/0.96 % prop_fast_solver_calls: 0
% 0.64/0.96 % prop_num_of_clauses: 757
% 0.64/0.96 % prop_preprocess_simplified: 2447
% 0.64/0.96 % prop_fo_subsumed: 0
% 0.64/0.96 % prop_solver_time: 0.
% 0.64/0.96 % prop_fast_solver_time: 0.
% 0.64/0.96 % prop_unsat_core_time: 0.
% 0.64/0.96
% 0.64/0.96 % ------ QBF
% 0.64/0.96
% 0.64/0.96 % qbf_q_res: 0
% 0.64/0.96 % qbf_num_tautologies: 0
% 0.64/0.96 % qbf_prep_cycles: 0
% 0.64/0.96
% 0.64/0.96 % ------ BMC1
% 0.64/0.96
% 0.64/0.96 % bmc1_current_bound: -1
% 0.64/0.96 % bmc1_last_solved_bound: -1
% 0.64/0.96 % bmc1_unsat_core_size: -1
% 0.64/0.96 % bmc1_unsat_core_parents_size: -1
% 0.64/0.96 % bmc1_merge_next_fun: 0
% 0.64/0.96 % bmc1_unsat_core_clauses_time: 0.
% 0.64/0.96
% 0.64/0.96 % ------ Instantiation
% 0.64/0.96
% 0.64/0.96 % inst_num_of_clauses: undef
% 0.64/0.96 % inst_num_in_passive: undef
% 0.64/0.96 % inst_num_in_active: 0
% 0.64/0.96 % inst_num_in_unprocessed: 0
% 0.64/0.96 % inst_num_of_loops: 0
% 0.64/0.96 % inst_num_of_learning_restarts: 0
% 0.64/0.96 % inst_num_moves_active_passive: 0
% 0.64/0.96 % inst_lit_activity: 0
% 0.64/0.96 % inst_lit_activity_moves: 0
% 0.64/0.96 % inst_num_tautologies: 0
% 0.64/0.96 % inst_num_prop_implied: 0
% 0.64/0.96 % inst_num_existing_simplified: 0
% 0.64/0.96 % inst_num_eq_res_simplified: 0
% 0.64/0.96 % inst_num_child_elim: 0
% 0.64/0.96 % inst_num_of_dismatching_blockings: 0
% 0.64/0.96 % inst_num_of_non_proper_insts: 0
% 0.64/0.96 % inst_num_of_duplicates: 0
% 0.64/0.96 % inst_inst_num_from_inst_to_res: 0
% 0.64/0.96 % inst_dismatching_checking_time: 0.
% 0.64/0.96
% 0.64/0.96 % ------ Resolution
% 0.64/0.96
% 0.64/0.96 % res_num_of_clauses: undef
% 0.64/0.96 % res_num_in_passive: undef
% 0.64/0.96 % res_num_in_active: 0
% 0.64/0.96 % res_num_of_loops: 0
% 0.64/0.96 % res_forward_subset_subsumed: 0
% 0.64/0.96 % res_backward_subset_subsumed: 0
% 0.64/0.96 % res_forward_subsumed: 0
% 0.64/0.96 % res_backward_subsumed: 0
% 0.64/0.96 % res_forward_subsumption_resolution: 0
% 0.64/0.96 % res_backward_subsumption_resolution: 0
% 0.64/0.96 % res_clause_to_clause_subsumption: 0
% 0.64/0.96 % res_orphan_elimination: 0
% 0.64/0.96 % res_tautology_del: 0
% 0.64/0.96 % res_num_eq_res_simplified: 0
% 0.64/0.96 % res_num_sel_changes: 0
% 0.64/0.96 % res_moves_from_active_to_pass: 0
% 0.64/0.96
% 0.64/0.96 % Status Unsatisfiable
% 0.64/0.96 % SZS status Theorem
% 0.64/0.96 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------